help please its due in 50 minutes ill mark brainliest answer too and no need to show work

Help Please Its Due In 50 Minutes Ill Mark Brainliest Answer Too And No Need To Show Work

Answers

Answer 1

The output value f(3) in the functions f( x ) = 3x + 5, f( x ) =  [tex]\frac{1}{2}x^2-1.5[/tex] and f( x ) = [tex]\frac{3}{2x}[/tex] is 14, 3 and 1/2 respectively.

What is the output value of f(3) in the given functions?

Given the functions in the question:

f( x ) = 3x + 5

f( x ) =  [tex]\frac{1}{2}x^2-1.5[/tex]

f( x ) = [tex]\frac{3}{2x}[/tex]

To evaluate each function at f(3), we simply replace the variable x with 3 and simplify.

a)

f( x ) = 3x + 5

Replace x with 3:

f( 3 ) = 3(3) + 5

f( 3 ) = 9 + 5

f( 3 ) = 14

b)

f( x ) =  [tex]\frac{1}{2}x^2-1.5[/tex]

Replace x with 3:

[tex]f(3) = \frac{1}{2}(3)^2 - 1.5\\\\f(3) = \frac{1}{2}(9) - 1.5\\\\f(3) = 4.5 - 1.5\\\\f(3) = 3[/tex]

b)

f( x ) = [tex]\frac{3}{2x}[/tex]

Replace x with 3:

[tex]f(3) = \frac{3}{2(3)} \\\\f(3) = \frac{3}{6} \\\\f(3) = \frac{1}{2}[/tex]

Therefore, the output value of f(3) is 1/2.

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Related Questions

Describe in words where √30^(3) would be plotted on a number line.

Answers

The cube root of 30 would be between 3 and 4, but closer to 3.

How to find cube root of a number?

Cube root is the number that needs to be multiplied three times to get the original number.

The cube root of a number can be determined by using the prime factorization method. In order to find the cube root of a number:

Step 1: Start with the prime factorization of the given number.

Step 2: Then, divide the factors obtained into groups containing three same factors.

Step 3: After that, remove the cube root symbol and multiply the factors to get the answer. If there is any factor left that cannot be divided equally into groups of three, that means the given number is not a perfect cube and we cannot find the cube root of that number.

We have to find the cube root of 30.

Prime factorization of 30 = [tex]2\times3\times5[/tex].

Therefore the cube root of 30 = [tex]\sqrt[3]{ (2\times3\times5)}= \sqrt[3]{30}[/tex].

As [tex]\sqrt[3]{30}[/tex] cannot be reduced further, then the result for the cube root of 30 is an irrational number as well.

So here we will use approximation method to find the cube root of 30 using Halley's approach:

Halley’s Cube Root Formula:

[tex]{\sqrt[3]{\text{a}} = \dfrac{\text{x}[(\text{x}^3 + 2\text{a})}{(2\text{x}^3 + \text{a})]}}[/tex]

The letter “a” stands in for the required cube root computation.

Take the cube root of the nearest perfect cube, “x” to obtain the estimated value.

Here we have a = 30

and we will substitute x = 3 because 3³ = 27 < 30 is the nearest perfect cube.

Substituting a and x in Halley's formula,

[tex]\sqrt[3]{30} = \dfrac{3[(3^3 + 2\times30)}{(2\times3^3 + 30)]}[/tex]

      [tex]= \dfrac{3[(27+60)}{(54+30)]}[/tex]

      [tex]= 3\huge \text(\dfrac{87}{84} \huge \text)[/tex]

      [tex]= 3\times1.0357[/tex]

[tex]\bold{\sqrt[3]{30} = 3.107}[/tex].

Hence, the cube root of 30 is 3.107.

Therefore, we can conclude that the cube root of 30 would be between 3 and 4, but closer to 3.

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Complete question:

Describe in words where cube root of 30 would be plotted on a number line.

A. Between 3 and 4, but closer to 3

B. Between 3 and 4, but closer to 4

C. Between 2 and 3, but closer to 2

D. Between 2 and 3, but closer to 3

NO LINKS!! URGENT HELP PLEASE!!

Use the laws of sines and cosines for the missing variable ​

Answers

Answer:

x = 8

Step-by-step explanation:

The given diagram shows a triangle with the length of two sides and its included angle.

To find the value of the missing variable x, we can use the Law of Cosines.

[tex]\boxed{\begin{minipage}{6 cm}\underline{Law of Cosines} \\\\$c^2=a^2+b^2-2ab \cos C$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}[/tex]

From inspection of the given triangle:

a = 18b = 21c = xC = 22°

Substitute the values into the formula and solve for x:

[tex]\begin{aligned}x^2&=18^2+21^2-2(18)(21)\cos 22^{\circ}\\x^2&=324+441-756\cos 22^{\circ}\\x^2&=765-756\cos 22^{\circ}\\x&=\sqrt{765-756\cos 22^{\circ}}\\x&=8.00306228...\\x&=8\end{aligned}[/tex]

Therefore, the value of the missing variable x is x = 8, rounded to the nearest hundredth.

Determine the surface area and volume. Note: The base is a square.

Answers

Answer:

volume=60cm3, surface area=96cm2

Step-by-step explanation:

volume=1/3×(6×6)×5

=60cm3

surface area= 4(1/2×6×5)+(6×6)

=96cm2

Function A is represented by the equation y= 6x-1.
Function B is a linear function that goes through the points shown in the
table.
x 13 4 6
y 0 10 15 25
Which statement correctly compares the rates of change of the two
functions?
A. The rate of change of function A is 6.
The rate of change of function B is 5.
B. The rate of change of function A is 6.
The rate of change of function B is 10.
C. The rate of change of function A is
-1.
The rate of change of function B is 5.
D. The rate of change of function A is
-1.
The rate of change of function B is 10.

Answers

The rates of change of the two functions that compare correctly is A. The rate of change of function A is 6, and the rate of change of function B is -10/9.

To compare the rates of change of the two functions, we can calculate the slope of each function. The slope represents the rate of change of a linear function.

For Function A, the equation is y = 6x - 1. The coefficient of x, which is 6, represents the slope. The rate of change of Function A is 6.

For Function B, we are given three points: (13, 0), (4, 10), and (6, 15). We can calculate the slope using the formula: slope = (change in y) / (change in x). Taking the first two points, we have: slope = (10 - 0) / (4 - 13) = 10 / (-9) = -10/9.

Comparing the rates of change, we have:

A. The rate of change of function A is 6.

The rate of change of function B is -10/9.

The correct option is A. The rate of change of function A is 6, and the rate of change of function B is -10/9.

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Var(X), where X is any random variable, is equals to:

Select one:
a. E(X2)-(E(X))2
b. None of the above
c. (E(X))2
d. E(X2)
e. E(X2)+(E(X))2



Note: Answer E is NOT the correct answer. Please find the correct answer. Any answer without justification will be rejected automatically.

Answers

The correct answer is option (a): Var(X) = E(X^2) - (E(X))^2.

The variance of a random variable X is defined as the average of the squared differences between each value of X and its expected value (E(X)). Mathematically, it can be expressed as Var(X) = E((X - E(X))^2).

Expanding the squared term, we have Var(X) = E(X^2 - 2XE(X) + (E(X))^2). Distributing and rearranging, we get Var(X) = E(X^2) - 2E(X)E(X) + (E(X))^2. Simplifying, we obtain Var(X) = E(X^2) - (E(X))^2.

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

Answers

The correct representation is the third option: "A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3, and a bold line starts at negative 3 and is pointing to the left."

This representation signifies that the solution set for the inequality 3(8 – 4x) < 6(x – 5) includes all values less than negative 3, represented by the bold line pointing to the left from the open circle at negative 3. The number line starts at negative 5 and goes up to positive 5 in increments of 1.

Evaluate the algebraic expression for the given values of the variables

Answers

Answer: substitute the given number for the variable in the expression and then simplify the expression using the order of operations

Step-by-step explanation:3a2 - 4b2 for a = -3/4 and b = 1/2

A water slide is a straight ramp 20 m long that starts from the top of a tower 18 m high. Find the angle the slide forms with the tower. Approximate to the nearest degree.

Answers

The angle the slide forms with the tower is approximately 41 degrees (rounded to the nearest degree).

To find the angle the slide forms with the tower, we can use trigonometric ratios. Let's consider the right triangle formed by the height of the tower (18 m), the length of the slide (20 m), and the angle we want to find.

Using the tangent function, we have:

tan(angle) = opposite/adjacent

In this case, the opposite side is the height of the tower (18 m) and the adjacent side is the length of the slide (20 m). Therefore:

tan(angle) = 18/20

To find the angle, we can take the inverse tangent (arctan) of both sides:

angle = arctan(18/20)

Using a calculator, we find that arctan(18/20) is approximately 40.56 degrees.

Therefore, the angle the slide forms with the tower is approximately 41 degrees (rounded to the nearest degree).

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What is the slope of a line that is parallel to the line whose equation is ax+by=c ? A. ab B. −ba C. −ab D. ba

Answers

The slope of a line that is parallel to the line whose equation is ax + by = c is D. ba. In a linear equation of the form ax + by = c, the slope can be determined by rearranging the equation into the slope-intercept form y = mx + b, where m represents the slope. Since the coefficients of x and y are a and b, respectively, the slope of the line is given by -a/b. Therefore, a line parallel to this line would have the same slope, which is -a/b or ba.

HELP I NEED ANSWER

Write an exponential decay function where the y-intercept is 4 and the y-values decrease by a factor of one-half as x increases by 1.

Answers

The exponential decay function that satisfies the given conditions is:

[tex]f(x) = 4 * (1/2)^x[/tex].

In this equation, the y-intercept is 4, which means that when x = 0, the function value is 4. As x increases by 1, the function decreases by a factor of one-half. This behavior is captured by raising 1/2 to the power of x in the equation.

The base of the exponent, 1/2, ensures that the function decreases exponentially. When x = 1, the exponent becomes 1, and[tex]1/2^1[/tex] equals 1/2. This means that the function value decreases to half of its previous value. Similarly, when x = 2, the exponent becomes 2, and[tex]1/2^2[/tex] equals 1/4. The function value decreases to one-fourth of its previous value, and so on.

By multiplying the exponential term by 4, we ensure that the y-intercept is 4. This scaling factor allows us to control the initial value of the function and match the given condition.

The exponential decay function[tex]f(x) = 4 * (1/2)^x[/tex] represents a decaying process where the y-values decrease exponentially as x increases, while starting at a y-intercept of 4.

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I need help with this problem a s a p.​

Answers

The calculated vertex of the function y = 2(x + 4)(x - 2) is (-1, -18)

Examining the function for the vertex

From the question, we have the following parameters that can be used in our computation:

y = 2(x + 4)(x - 2)

Expand the equation

So, we have

y = 2x² + 4x - 16

Differentiate the function and set to 0

So, we have

4x + 4 = 0

So, we have

4x = -4

Evaluate

x = -1

Next, we have

y = 2(-1 + 4)(-1 - 2)

Evaluate

y = -18

This means that the vertex is (-1, -18)

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find the length of IG

Answers

The length of line segment IG of the circle using the chord-chord power theorem is 6.

What is the length of line segment IG?

Chord-chord power theorem simply state that "If two chords of a circle intersect, then the product of the measures of the parts of one chord is equal or the same as the product of the measures of the parts of the other chord".

From the figure:

Line segment FG = 12

Line segment GH = 4

Line segment GJ = 8

Line segment IG = ?

Now, usig the chord-chord power theorem:

Line segment FG × Line segment GH = Line segment GJ × Line segment IG

Plug in the values:

12 × 4 = 8 × Line segment IG

48 = 8 × Line segment IG

Line segment IG = 48/8

Line segment IG = 6

Therefore, the line segment IG measures 6 units.

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If x = 2, solve for y. y = 6.3x y=[?]​

Answers

Answer: y = 12.6

Step-by-step explanation:

Since x = 2 and y = 6.3 * x, y = 6.3 * 2.

6.3 * 2 is equal to 12.6, so y is 12.6.

Answer:

y = 12.6

Step-by-step explanation:

y = 6.3x                     x = 2

Solve for y.

y = 6.3(2)

y = 12.6

So, the answer is 12.6

write and equation for the nth term of the geometric sequence for 2,8,32,128
then find a6 round to the nearest tenth if necessary.

Answers

The sixth term of the geometric sequence is 2048.

The given geometric sequence is 2, 8, 32, 128. We can observe that each term is obtained by multiplying the previous term by 4. Therefore, the common ratio (r) of the sequence is 4.

The formula for the nth term (an) of a geometric sequence is given by:

an = a1 * r^(n-1)

where a1 is the first term and r is the common ratio.

For this sequence, a1 = 2 and r = 4. Plugging in these values into the formula, we get:

an = 2 * 4^(n-1)

To find a6, we substitute n = 6 into the formula:

a6 = 2 * 4^(6-1)

  = 2 * 4^5

  = 2 * 1024

  = 2048

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The Probable question may be:
Write an equation for the nth term of the geometric sequence 2, 8, 32, 128,

Then find a6. Round to the nearest tenth if necessary.

a = 5×4 X

a1 = n-1 X

Evaluate the expression 3.14(a2 + ab) when a = 3 and b = 4. (Input decimals only, such as 12.71, as the answer.) (4 points)

Answers

The final answer after evaluating the expression 3.14([tex]a^{2}[/tex] + ab) (by putting the value a = 3 and b = 4) is 65.94.

When a = 3 and b = 4, we substitute the supplied values into the expression to assess 3.14([tex]a^{2}[/tex] + ab):

3.14([tex]3^{2}[/tex] + 3 * 4)

We begin by solving the exponent:

[tex]3^{2}[/tex] = 3 * 3 = 9

The values are then entered into the expression:

3.14(9 + 3 * 4)

Inside the brackets, multiply the result:

3.14(9 + 12)

The numbers in the brackets are added:

3.14(21)

The decimal number is now multiplied by 21:

3.14 * 21 = 65.94

The evaluated expression is 65.94 as a result.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

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The answer is:

65.94

Work/explanation:

We're asked to evaluate the expression [tex]\sf{3.14(a^2+ab)}[/tex] for a = 3 and b = 4.

Plug in the data:

[tex]\sf{3.14(3^2+3*4)}[/tex]

[tex]\sf{3.14(9+12)}[/tex]

[tex]\sf{3.14(21)}[/tex]

[tex]\bf{65.94}[/tex]

Therefore, the answer is 65.94.

-5 -4 -3 -2 -1 4 3 C -1 O 10 -2- -4 -3- -5- 1 2010. © 2023 Edmentum. All rights reserved. 2 3 4 5 If function f is the parent exponential function f(x) Replace the value of a to complete the equation. = TO X e, what is the equation of transformed function g in terms of function f R S 9 sin cos tan sin cos tan-¹ /A

Answers

Given the equation f(x) = a · bx where a and b are constants. So, the answer to the given problem is g(x) = a · bx + h, and the explanation of the trigonometric function.

To find the equation of transformed function g in terms of function f is explained below: If f(x) = a · bx, then the transformed function g(x) can be represented by g(x) = a · bx + h, where h is the vertical shift (if h > 0, the graph shifts upward, and if h < 0, the graph shifts downward).

Now, we have to replace the value of 'a' to complete the equation of g(x). But, we don't have any value of 'a' provided in the question. Hence, we can't determine the equation of transformed function g in terms of function f for the given information.

Next, let's move to the trigonometric function. It is given that: R S 9 sin cos tan sin cos tan-¹ /ASin, Cos, Tan, Cosec, Sec, and Cot are six trigonometric functions. Let's see their definitions and their corresponding inverse functions:

1. Sine: It is defined as the ratio of the length of the side opposite the given angle to the length of the hypotenuse in a right-angled triangle. Its corresponding inverse function is sin⁻¹.

2. Cosine: It is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right-angled triangle. Its corresponding inverse function is cos⁻¹.

3. Tangent: It is defined as the ratio of the length of the side opposite the given angle to the length of the adjacent side in a right-angled triangle. Its corresponding inverse function is tan⁻¹.

4. Cosecant: It is defined as the ratio of the length of the hypotenuse to the length of the side opposite the given angle in a right-angled triangle. Its corresponding inverse function is cosec⁻¹.

5. Secant: It is defined as the ratio of the length of the hypotenuse to the length of the adjacent side in a right-angled triangle. Its corresponding inverse function is sec⁻¹.

6. Cotangent: It is defined as the ratio of the length of the adjacent side to the length of the side opposite the given angle in a right-angled triangle. Its corresponding inverse function is cot⁻¹.

Hence, the answer to the given problem is g(x) = a · bx + h, and the explanation of the trigonometric function.

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Assume that random guesses are made for seven multiple choice questions on an SAT​ test, so that there are n=7 ​trials, each with probability of success​ (correct) given by p=0.45. Find the indicated probability for the number of correct answers.
Find the probability that the number x of correct answers is fewer than 4.

Answers

To find the probability that the number of correct answers is fewer than 4, we need to calculate the cumulative probability up to 3 correct answers. Since each trial has a probability of success (correct) given by p = 0.45, we can use the binomial distribution formula to calculate the probabilities.

The formula for the binomial distribution is:
P(x) = (n C x) * (p^x) * ((1 - p)^(n - x))

Where:
P(x) is the probability of getting x successes,
n is the number of trials,
x is the number of successes,
p is the probability of success in a single trial, and
(1 - p) is the probability of failure in a single trial.

Now, let's calculate the probability that the number of correct answers is fewer than 4:

P(x < 4) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3)

P(x < 4) = (7 C 0) * (0.45^0) * (0.55^7) + (7 C 1) * (0.45^1) * (0.55^6) + (7 C 2) * (0.45^2) * (0.55^5) + (7 C 3) * (0.45^3) * (0.55^4)

You can use these calculations to find the numerical value of P(x < 4).

8. Given AABC~AEDC
What is the value of x?
C. 30
D. 20
A. 15
B. 12
E
60
X
C
D
10
40
B

Answers

The calculated value of x in the triangle is 15

How to calculate the value of x

From the question, we have the following parameters that can be used in our computation:

The triangles ABC and EDC

Since the triangles are similar, then we have

(3x - 5)/(5x - 5) = 32/56

This gives

32(5x - 5) = 56(3x - 5)

When solved for x, we have

x = 15

Hence, the value of x is 15

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6, 12, 24, 48, 96, … Each term is 6 more than the previous term. Each term is 12 more than the previous term. Each term is 1/2 the previous term. Each term is 2 times the previous term.

Answers

The given sequence can be generated by multiplying each term by 2, starting from the initial term of 6.

The pattern that fits the given sequence 6, 12, 24, 48, 96, ... is that each term is 2 times the previous term.

In the sequence 6, 12, 24, 48, 96, ... there are multiple possible patterns, each resulting from a different rule applied to generate the next term. Let's examine each of the proposed patterns:

Each term is 6 more than the previous term:

Starting with 6, if we add 6 to each term, we get:

6 + 6 = 12

12 + 6 = 18

18 + 6 = 24

24 + 6 = 30

30 + 6 = 36

...

This pattern does not match the given sequence since it does not produce the subsequent terms.

Each term is 12 more than the previous term:

Starting with 6, if we add 12 to each term, we get:

6 + 12 = 18

18 + 12 = 30

30 + 12 = 42

42 + 12 = 54

54 + 12 = 66

...

This pattern also does not match the given sequence.

Each term is 1/2 the previous term:

Starting with 6, if we multiply each term by 1/2, we get:

6 [tex]\times[/tex] 1/2 = 3

3 [tex]\times[/tex] 1/2 = 1.5

1.5 [tex]\times[/tex] 1/2 = 0.75

0.75 [tex]\times[/tex] 1/2 = 0.375

0.375 [tex]\times[/tex] 1/2 = 0.1875

...

This pattern does not match the given sequence.

Each term is 2 times the previous term:

Starting with 6, if we multiply each term by 2, we get:

6 [tex]\times[/tex] 2 = 12

12 [tex]\times[/tex] 2 = 24

24 [tex]\times[/tex]2 = 48

48 [tex]\times[/tex]2 = 96

96 [tex]\times[/tex]2 = 192

This pattern perfectly matches the given sequence. Each term is indeed 2 times the previous term, resulting in the next term.

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Snow Fall (Inches)
2.75
2.5
2.25
2
1.75
1.5
1.25
1
0.75
0.5
0.25
0
4
O A. 1.25
OB. 0.75
O C. 2.5
O D. 1.5

1
2
3
4
Time (hours after Midnight)
5
12. The graph above depicts the amount of snow accumulation from midnight to 5:00 a.m. The x-axis represents time (hours after midnight), and the y-axis represents the number of
inches of snow on the ground. How many inches of snow accumulated between 2:00 a.m. and 5:00 a.m.?

Answers

The amount of snow accumulated between 2 am and 5 am is: 1.25 inches

How to Interpret Linear Equation Graphs?

The general formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the given graph attached, we see that the y-axis gives the amount of snow at different specific times.

Meanwhile the x-axis gives the time in hours after midnight

At 2am, the y-axis value is 1.25 inches, and as such at 2am snow accumulation was 1.25 inches.

At 5 am, the y-axis value reads 2.5 inches, and as such at 5am snow accumulation was 2.5 inches.

The difference in both snow accumulations is:  2.5 - 1.25 = 1.25

Hence, 1.25 inches snow accumulated between 2 am and 5 am.

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1. Find (f + g)(1), when f(x) = x + 6 and g(x) = x - 3.​

Answers

Answer:

(f + g)(1) = 5

Step-by-step explanation:

(f + g) means we are going to add f(x) and g(x). But also, the (1) part means we are going to let x be equal to 1. We're going to fill in 1 in place of x. You can do this in either order.

Generally speaking its "easier" to fill in the 1 for x first and then do the adding part.

f(x) = x + 6

f(1) = 1 + 6 = 7

and,

g(x) = x - 3

g(1) = 1 - 3 = -2

add the 7 and -2 together:

7 + - 2

= 5

It works out the same if you add first:

f(x) + g(x)

= x + 6 + x - 3

= 2x + 3

then put the 1 in:

= 2×1 + 3

= 2 + 3

= 5

Hope this helps!

25 ÷ 5+7-(4 x 3) Solve the problem is fast as possible

Answers

Answer:

Step-by-step explanation:

0

Answer:

0

Step-by-step explanation:

25 ÷ 5+7-(4 x 3)

25 ÷ 5+7-(4 x 3)

5+7-(4 x 3)

5+7-(4 x 3)

5+7-12

12-12

0

I wrote in bold the steps you need to follow using PEMDAS (Parentheses, Exponents, Multiplication and Divison left to right, and Addition and Subtraction left to right).

Solve the problem. Use what you learned from the example.
Use the information
in the tree diagram.
Write a statement that
is always true about
obtuse triangles. Write
a statement that is
sometimes true about
obtuse triangles.
Show your work. Use pictures and words to explain.
Acute
Equilateral
Triangles
Right
Isosceles
Obtuse
Scalene
C

Answers

Statement that is always true about obtuse triangles:

An obtuse triangle always has one angle that measures more than 90 degrees.

In the given tree diagram, the "Obtuse" category represents triangles with at least one obtuse angle.

An obtuse angle is an angle that measures more than 90 degrees. Since an obtuse triangle is defined as having one obtuse angle, it will always have an angle that measures more than 90 degrees.

Therefore, the statement that an obtuse triangle always has one angle that measures more than 90 degrees is always true.

Statement that is sometimes true about obtuse triangles:

An obtuse triangle can have different side lengths.

In the given tree diagram, the "Obtuse" category represents triangles with at least one obtuse angle.

The "Scalene" category represents triangles with different side lengths. Therefore, it is possible for an obtuse triangle to have different side lengths, making the statement "An obtuse triangle can have different side lengths" sometimes true.

However, it is also possible for an obtuse triangle to have two or more sides with the same length, which would make it an isosceles or equilateral triangle.

Hence, the statement is only sometimes true and not always true.

In summary, an always true statement about obtuse triangles is that they always have one angle that measures more than 90 degrees.

A sometimes true statement about obtuse triangles is that they can have different side lengths.

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Joint probability of two statistical dependent events Y and Z can be written as P(Y and Z) =


Select one:
a. P(Y) * P(Z|Y) + P(Z)
b. P(Y) * P(Z|Y) - P(Z + Y)
c. P(Z + Y) * P(Y|Z)
d. P(Z - Y) * P(Y|Z)
e. P(Y) * P(Z|Y)





Note: Answer B is NOT the correct answer. Please find the correct answer. Any answer without justification will be rejected automatically.

Answers

The correct representation for the joint probability of two dependent events Y and Z is P(Y) * P(Z|Y). Option E

The joint probability of two dependent events Y and Z can be written as the probability of Y occurring multiplied by the conditional probability of Z given Y. This can be represented as P(Y) * P(Z|Y).

Here's the justification:

P(Y) represents the probability of event Y occurring independently.

P(Z|Y) represents the conditional probability of event Z occurring given that event Y has already occurred.

When Y and Z are dependent events, the occurrence of Y affects the probability of Z happening. Therefore, we need to consider the probability of Y occurring first (P(Y)) and then the probability of Z occurring given that Y has already occurred (P(Z|Y)).

Multiplying these two probabilities together gives us the joint probability of both Y and Z occurring simultaneously, which is denoted as P(Y and Z).

Hence, the correct representation for the joint probability of two dependent events Y and Z is P(Y) * P(Z|Y). Option E.

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A corporation donates a valuable painting from its private collection to an art museum. Which of the following are incremental cash flows associated with the donation?

Answers

Incremental cash flows associated with the donation of a valuable painting from a corporation's private collection may include It's important to note that any direct costs associated with the donation.

Tax benefits: The corporation may be eligible for tax deductions or credits for charitable donations, which could result in a reduction in its tax liability and generate cash flow savings.

Opportunity cost: If the corporation could have sold the painting instead of donating it, the incremental cash flow would be the potential proceeds from the sale.

Storage and maintenance cost savings: By donating the painting to the art museum, the corporation no longer has to incur expenses for storing, insuring, and maintaining the artwork, resulting in cost savings.

Public relations and marketing benefits: Donating the painting can enhance the corporation's reputation and generate positive publicity, potentially leading to increased customer goodwill and brand value, which can translate into future cash flows.

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Triangle 1 undergoes four different transformations. The results of these transformations are shown. Which statement best describes one of these transformations?

Answers

One of the transformations undergone by Triangle 1 is a rotation, which involves turning the triangle around a fixed point while preserving its shape and size.

A rotation is a transformation that turns an object around a fixed point, known as the center of rotation. In the given results, if the triangle appears in a different orientation but retains its shape and size, it indicates a rotation.

During a rotation, each point of the triangle is moved along a circular path around the center of rotation. The distance from the center of rotation remains constant, and the angle between any two corresponding points on the original and rotated triangles is preserved. The direction of rotation can be clockwise or counterclockwise, depending on the given results.

To describe a rotation, we need to specify the angle of rotation and the direction. For example, "Triangle 1 underwent a counterclockwise rotation of 90 degrees" would indicate that the triangle was rotated by 90 degrees in the counterclockwise direction.

The specific rotation can be described by stating the angle of rotation and the direction.

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X-2
5 = 8 using the change of base formula logby=
log y
log b

Answers

By using the change of base formula: The solution to the equation log(base y) (X-2) = 5 is [tex]X = y^5 + 2.[/tex]

To solve the equation log(base y) (X-2) = 5 using the change of base formula, we can rewrite the equation as log(base b) (X-2) / log(base b) y = 5.

Using the change of base formula, we can choose any base for b.

Let's choose base 10 for simplicity.

So the equation becomes log(base 10) (X-2) / log(base 10) y = 5.

We know that log(base 10) (X-2) represents the logarithm of (X-2) to the base 10, and log(base 10) y represents the logarithm of y to the base 10.

Now, to solve for X, we can isolate it by multiplying both sides of the equation by log(base 10) y:

log(base 10) (X-2) = 5 [tex]\times[/tex] log(base 10) y.

This simplifies to:

log(base 10) (X-2) [tex]= log(base 10) y^5.[/tex]

Since the logarithms on both sides have the same base, we can remove the logarithm and equate the arguments:

[tex]X - 2 = y^5.[/tex]

Now we can solve for X by adding 2 to both sides:

[tex]X = y^5 + 2.[/tex]

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please help i’m confused

Answers

The regression equation is y = 17.1643X - 2.47977

What is the equation of regression?

To solve this problem, we have to calculate the equation of regression.

Sum of X = 2.97

Sum of Y = 28.66

Mean X = 0.33

Mean Y = 3.1844

Sum of squares (SSX) = 0.3552

Sum of products (SP) = 6.0959

Regression Equation = y = bX + a

b = SP/SSX = 6.1/0.36 = 17.1643

a = MY - bMX = 3.18 - (17.16*0.33) = -2.47977

y = 17.1643X - 2.47977

The line of best fit is y = 17.1643X - 2.47977

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A sample consists of the following N = 7 scores: 5, 0, 4, 5, 1, 2 and 4.
a. Compute the mean and standard deviation for the sample
Mean =

Standard deviation=

b. Find the z-score for each score in the sample

X= 5, z=
X= 0, z=
X= 4, z=
X= 5, z=
X= 1, z=
X= 2, z=
X= 4, z=

Answers

a. Mean = 3

Standard deviation = 2

b. The z-scores for each score in the sample are: 1, -1.5, 0.5, 1, -1, -0.5, 0.5.

a. To compute the mean and standard deviation for the sample, we follow these steps:

Calculate the mean (average)

Mean = (sum of all scores) / (number of scores)

Mean = (5 + 0 + 4 + 5 + 1 + 2 + 4) / 7

Mean = 21 / 7

Mean = 3

The mean of the sample is 3.

Calculate the standard deviation

The formula for standard deviation for a sample is given by:

Standard deviation = sqrt((sum of squared differences from the mean) / (number of scores - 1))

First, calculate the squared differences from the mean for each score:

(5 - 3)^2 = 4

(0 - 3)^2 = 9

(4 - 3)^2 = 1

(5 - 3)^2 = 4

(1 - 3)^2 = 4

(2 - 3)^2 = 1

(4 - 3)^2 = 1

Next, sum up these squared differences:

4 + 9 + 1 + 4 + 4 + 1 + 1 = 24

Now, divide this sum by (number of scores - 1):

24 / (7 - 1) = 24 / 6 = 4

Finally, take the square root of this result:

Standard deviation = sqrt(4) = 2

The standard deviation of the sample is 2.

b. To find the z-score for each score in the sample, we use the formula:

z = (X - Mean) / Standard deviation

For each score, we substitute the values into the formula:

X = 5, z = (5 - 3) / 2 = 2 / 2 = 1

X = 0, z = (0 - 3) / 2 = -3 / 2 = -1.5

X = 4, z = (4 - 3) / 2 = 1 / 2 = 0.5

X = 5, z = (5 - 3) / 2 = 2 / 2 = 1

X = 1, z = (1 - 3) / 2 = -2 / 2 = -1

X = 2, z = (2 - 3) / 2 = -1 / 2 = -0.5

X = 4, z = (4 - 3) / 2 = 1 / 2 = 0.5

The z-scores for each score in the sample are:

z = 1, z = -1.5, z = 0.5, z = 1, z = -1, z = -0.5, z = 0.5

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if there are 200 high school students in the district, how many would you expect to be in chemistry?

Answers

If there are 200 high school students in the district, the number of high school students expected to be in Chemistry is 60 because the percentage who offer Chemistry in the district is 30%.

How the number is determined:

The number of high school students who offer Chemistry in the district can be determined by multiplying the total number of high school students and the percentage of students who offer Chemistry.

The result of a multiplication operation (multiplicand and multiplier), which is one of the basic mathematical operations, is known as the product.

The total number of high school students in the district = 200

The percentage of students who offer Chemistry in the district = 30%

The number of students likely to be offering Chemistry in the district = 60 (200 x 30%).

Thus, we can conclude that 60 high school students are in Chemistry based on the Chemistry percentage.

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Complete Question:

The percentage of high school students in the district who offer Chemistry is 30%.  If there are 200 high school students in the district, how many would you expect to be in Chemistry?

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