Answer:
A. 7.1 meters
Step-by-step explanation:
12 ÷ 360 = [tex]\frac{1}{30}[/tex]
C = Dπ = 68π
[tex]\frac{68π}{30}[/tex] = 7.120
Round down to 7.1
What is an example of substitution method?
Substitution method is a method used to solve equations. It involves replacing a variable with its given value, which helps to isolate it and solve for the unknown. For example, if we have the equation 2x+5=17, we can solve for x by substituting 17 for 2x+5 and then subtracting 5 from both sides to obtain x=12.
The substitution method is a technique used to solve systems of equations. An example of the substitution method would be solving the system of equations:
x + 2y = 5
3x + 6y = 15
First, solve the first equation for x:
x = 5 - 2y
Substitute the expression for x into the second equation:
3(5 - 2y) + 6y = 15
Simplify:
15 - 6y + 6y = 15
Solve for y:
15 = 15
Now substitute the value of y back into the expression for x:
x = 5 - 2(3)
Solve for x:
x = -1
Therefore, the solution to the system of equations is:
x = -1, y = 3
Substitute x in equation 1 into equation 2, solve, then substitute y back into equation 1.
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BRAINLIEST IF U MAKE UR OWN AND ORIGINAL ANSWER!
Question 2(Multiple Choice Worth 1 points)
(01.06 MC)
An equation is shown:
−np − 6 = 3(c − 5)
Which of the following solves for n?
n = the quantity 3 times c minus 21 all over negative p
n = the quantity 3 times c minus 9 all over negative p
n = the quantity 3 times c minus 21 all over p
n = the quantity 3 times c minus 9 all over p
Answer:
Option 2
Step-by-step explanation:
Hello!
We can solve the equation for n by isolating the variable.
Solve for n:-np - 6 = 3(c - 5) Add 6 to both sides-np = 3(c - 5) + 6 Divide both sides by p-n = [tex]\frac{3(c - 5) + 6}{p}[/tex] Expand the parenthesis-n = [tex]\frac{3c - 15 + 6}{p}[/tex] Combine Like terms-n = [tex]\frac{3c - 9}{p}[/tex] Divide both sides by -1n = [tex]-\frac{3c - 9}{p}[/tex]The answer would be the second option: "n = the quantity 3 times c minus 9 all over negative p."
a lines slope is 15 and its y-intercept is 2. what is its equation in slope intersept form
Answer:
y = 15x + 2
Step-by-step explanation:
Use the slope-intercept form:
y = mx + b becomes
y = 15x + 2
Answer:
y = 15x + 2
Step-by-step explanation:
An equation written in slope-intercept form will have the structure of:
y = mx + b
m is the slope. b is the y-intercept.
We know:
slope: 15
y-intercept: 2
Let's plug in what we know.
y = mx + b
y = 15x + 2
This is your equation.
Hope this helps!
One pound of nuts costs $2.80. Aaron bought 2 pounds of nuts. He gave the clerk a $10.00 bill. How much change did he get?
What is the equation of the line that has a slope of 4?
A 8x + 4y = 6
B 4x + y = 8
C4x - y - 4 = 4
D 2y - 4x = 0
Answer:
C
Rewrite the equation until you end up with 4 being your slope =m
Which expression can be used to represent the
volume of this prism?
6 × 11 units³
78°F
Sunny
O 48 x 3 units³
O 14 x 3 units³
O 8x9 units³
H
а
1
i
8 units
1
1
2
3
3 units
6 units
4
5
Volume of prism is given by V= base area × height cubic unit. The expression 48 × 3 unit³ can be used to represent the volume of the prism.
What is prism?Prism is a three-dimensional geometrical figure having identical two ends. A prism has flat faces, similar bases and equal cross sections. A prism is normally bounded by plane faces.
What is volume of prism?
Volume of prism is calculated by the product of base area and height of the prism. At first, we need to calculate the base area and then height is multiplied with it.
Prisms are different types such as triangular prism, rectangular prism, pentagonal prism and hexagonal prism so depending on the figure area for the base is different. As a result, different shaped prism has different formula for volume calculation.
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Determine if the triangles can be proved congruent by SSS, SAS, ASA, AAS, or HL.
SSS
The triangles can be proved congruent by SAS theorem.
Properties of congruent triangles.Two or more triangles are said to be congruent if and only if their corresponding length of sides and measure of internal angles are equal. Therefore, congruency is a property of equality of the triangles.
To prove that two or more triangles are congruent, then their corresponding sides are compared if they are equal. Also the measure of their corresponding internal angles are considered if they are equal.
Therefore. in the given question, to determine if the triangles can be proved congruent by the appropriate theorem;
It can be seen that the two sides of the triangles are equal. Also the measure of their included angles are equal. Therefore, the triangles can be proved to be congruent by SAS.
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Someone help me with number
6 and 7
Please help me with this question ASAP
NOTE: please explain your reasoning
Answer:
I Believe The Answer Would Be 35
Step-by-step explanation:
You See If You Split The Rectangle Into Three Rectangles You Can Split Them Up And Multiply The Length And Width
Answer:
35in^2
Step-by-step explanation:
You essentially have 3 rectangles.
Starting from the top
2*5 = 10
Middle
This is the only tricky one. You have the top with a total lenght of 5 and the middle rectangle is recessed from the 5 inch 2 inch. that leaves you 3 inches plus the 3 off to the side. in total 5 inches
3*5 = 15
Bottom
2*5 = 10
Add them all togehter
10+15+10
You might need:
Order the following numbers from least to greatest.
3/4
✓0.52
0.73
0.52, 0.73, 3/4
3/4=0.75
Daria chooses a paint color from 5 shades of blue, 2 shades of yellow, and 2 shades of purple to paint her room. She can choose either carpet or wood flooring. If each choice is equally likely, how much greater is the probability of her choosing a shade of blue and carpet than the probability of choosing a shade of yellow and wood flooring?
The probability of choosing a shade of blue and carpet is 1/6 greater than that of choosing a shade of yellow and wood flooring.
The total number of possible paint colors Daria can choose is 5 shades of blue + 2 shades of yellow + 2 shades of purple = 9 shades
The total number of flooring options Daria can choose from is carpet or wood = 2 options
The probability of choosing a shade of blue is 5/9 and the probability of choosing carpet is 1/2. So, the probability of choosing a shade of blue and carpet is (5/9) * (1/2) = 5/18.
The probability of choosing a shade of yellow is 2/9 and the probability of choosing wood flooring is 1/2. So, the probability of choosing a shade of yellow and wood flooring is (2/9) * (1/2) = 2/18
The probability of choosing a shade of blue and carpet is 5/18, and the probability of choosing a shade of yellow and wood flooring is 2/18. So, the probability of choosing a shade of blue and carpet is (5/18) - (2/18) = 3/18 or 1/6 greater than the probability of choosing a shade of yellow and wood flooring.
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Calculate the correct answer
Evaluate: n2-n3 +r(n-r)
if n +7=3 and r= √25
Homework Progress
28/37 Marks
a) Complete the prime factor trees for 16 and 40:
16
b)
2
2
∞
2
4
2
2
40
2
What is the lowest Common Multiple of 16 and 40?
2
1
5
The prime factor trees for 16 and 40 could be 2,2,2,2 and 2,2,2,5 respectively and and the common multiple of 16 and 40 could be 2 .
What is prime factor ?
prime factor can be defined as the number which is divisible by that number and the number should be prime.
The prime factor tree for 16 as follows
16 = 2*8 = 2* 2 * 4 = 2*2*2*2
16
2 8
2 4
2 2
The prime factor tree for 40 as follows
40 = 2*20 = 2*2*10 = 2*2*2*5
40
2 20
2 10
2 5
Hence, The prime factor trees for 16 and 40 could be 2,2,2,2 and 2,2,2,5 respectively and the common multiple of 16 and 40 could be 2 .
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Three softball players discussed their batting averages after a game.
Probability
Player 1 six tenths
Player 2 five ninths
Player 3 four sevenths
Compare the probabilities and interpret the likelihood. Which statement is true?
Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)
Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1)
Player 3 is more likely to hit the ball than Player 1 because P(Player 3) > P(Player 1)
Player 2 is more likely to hit the ball than Player 3 because P(Player 2) > P(Player 3)
The likelihood event:
Player 1 is more likely to hit the ball than Player 2 because P (Player 1) > P (Player 2).
The correct option is A.
What is the LCM?Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.
Given:
Three softball players discussed their batting averages after a game.
Probability:
Player 1 = six tenths = 6/10
Player 2 = five ninths = 5/9
Player 3 = four sevenths = 4/7
To find better batting averages:
LCM of 10, 9 and 7.
10 = 2 x 5. 9 = 3 x 3, 7 = 7
So, the LCM (10, 9, 7) = 630
Now we have the number of chances are equal for each of the three players.
So, the P(Player 1) = 6/10 = 378/630
P(Player 2)= 5/9 = 350/630
P(Player 3)= 4/7 = 360/630
The Player 1 has better batting average than Player 2 and Player 3.
Therefore, Player 1 is more likely to hit the ball than Player 2 because P (Player 1) > P (Player 2).
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8 cm
20 cm
0 80
O 160
0 28
O 40
Simplify: [tex]\frac{10m}{5m}[/tex]
Answer:
2
When you cancel out the m (cause its the common factor) the only thing left is to simplify 10/5 which is 2.
Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.
Outcome Frequency
Green 4
Black 6
Orange 5
Based on the given frequency, determine the experimental probability of selecting a green marble.
0.27
0.33
0.40
0.73
0.27 is the experimental probability of selecting a green marble.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that Michael has a bag of marbles.
The frequency of selecting each color is recorded
Outcome Frequency
Green 4
Black 6
Orange 5
The total number of marbles are 4+6+5=15 marbles.
We need to find the experimental probability of selecting a green marble.
We need to select green marbles (4) from total marbles (15).
Probability=4/15=0.266=0.27
Hence, 0.27 is the experimental probability of selecting a green marble.
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Write an equation for the sinusoid you graphed.
Max: 210
Min: 10
Time: 90 seconds (to go around the Ferris wheel 1 time)
Not sure if I graphed it correctly either…
Therefore , As a result, y=Sin will be the equation of the sinusoid that answers the supplied equation problem (2x).
Describe equationAn equation is a representation of two equal variables in mathematics, one on each side of a "equals" sign. Common difficulties can be solved using equations. We commonly seek pre algebra help to resolve problems in real life. Pre-algebra lessons address the fundamental concepts of mathematics.
Here,
Given: Maximum: 210
Minimum: 10
Time : 90
In order to create a sinusoid equation:
When x=0, sin(2*0)=sin(0)=0.
If x = 4 then sin(4 / 2) = 1.
Sin(π) = 0 if x =π/2 and
Consequently, the sinusoid's equation will be y=Sin (2x)
Therefore , As a result, y=Sin will be the equation of the sinusoid that answers the supplied equation problem (2x).
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May someone help me with this :)
Answer:
x=89
Step-by-step explanation:
Well all of a quadrilaterals interior angles add up to 360 degrees so you would add together 69+118+84 which equals 271, and then you'd subtract that from 360 which is 89. Hope this helps. :)
need help asap!! giving brainliest!!
Answer:
10!
Step-by-step explanation:
Basically you can see that one side of the "triangle" is 3, and the other is 9 (based on the distance, assuming that the line would be a hypotenuse). From here all you have to do is square 3 and square 9, add them, and find the square root
√(9+81) = 10
Dose anyone know how to solve this??
Given:
The graph of a curve.
To find:
The domain and range for the given graph in interval notation.
Solution:
Domain: It is the set of input values.
Range: It is the set of output values.
Closed circle: It means that point is included in the solution set.
Open circle: It means that point is not included in the solution set.
(a) From the given graph it is clear that the function is defined between x=-5 to x=4. There is a closed circle at x=-5 and an open circle x=4, it means x=-5 is included and x=4 is not included in the domain.
[tex]Domain=-5\leq x<4[/tex]
[tex]Domain=[-5,4)[/tex]
(b) From the given graph it is clear that the values of the function lie between y=-3 to y=3. There is a closed circle at y=-3 and an open circle y=3, it means y=-3 is included and y=3 is not included in the range.
[tex]Range=-3\leq y<3[/tex]
[tex]Range=[-3,3)[/tex]
Therefore (a) [tex]Domain=[-5,4)[/tex] and (b) [tex]Range=[-3,3)[/tex].
45 POINTS -Find the perpendicular line. Don’t explain
By analytical geometry, the line y = - 2 · x - 1 represents a line perpendicular to the line shown in the picture. (Correct choice: C)
How to find the equation of a line perpendicular to another line
According to analytical geometry, lines are described by polynomials of the form:
y = m · x + b
Where:
m - Slopeb - Interceptx - Independent variable.y - Dependent variable.And the equation of the perpendicular line pass through a point of original line and is related to the slope of the line by following relationship:
m · m' = - 1
Where:
m - Slope of original line.m' - Slope of perpendicular line.First, determine the slope and intercept of the original line:
(x, y) = (0, 1)
1 = m · 0 + b
b = 1
(x, y) = (2, 0)
0 = m · 2 + b
2 · m + b = 0
m = - b / 2
m = - 1 / 2
Second, calculate the slope of the perpendicular line:
m' = 1 / (- 1 / 2)
m' = - 2
Third, we conclude by discarding options that the equation of the perpendicular line is y = - 2 · x - 1.
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3x+2y=5 What is x/y intercept
Answer:
x intercepts; (5/3 ,0 )
y-intercepts; (0 , 5/2)
Step-by-step explanation:
what is 1/5 of 52 1/2
Answer: 10.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
c
please i need help! anything will help
Answer:
a = 3 or -3
Step-by-step explanation:
a^2 -8 = 1
a^2 = 1 + 8
a^2 = 9
a = - [tex]\sqrt{9}[/tex] or [tex]\sqrt{9}[/tex]
a = 3 or -3
Answer: a = 3, -3
Step-by-step explanation:
Since we want to find what values of a, or x when substituted into the function, equal 1, we will set the function equal to 1 and solve for x.
Given:
f(x) = x² - 8
Set equal to 1:
1 = x² - 8
Subtract 1 from both sides of the equation:
x² - 9 = 0
Difference of squares factoring:
(x - 3)(x + 3) = 0
Answers:
x = 3, -3
So,
a = 3, -3
A television screen measures approximately 20 inches high and its diagonal
is 29 inches. What is the width of the TV screen?
Is the following situation represented by a positive integer, a negative integer, or zero?
Before taking off, the plane was on the ground.
Zero
Positive
Negative
Answer:
Positive
Step-by-step explanation:
Susan made 4 uniform annual deposits of $1800 in a savings account that earned an interest rate of 2% per year. Her last deposit was made 7 years ago. What is the future value of her savings 13 years from now, if she leaves the account untouched?
Answer:
"$ 2,880" is the right answer.
Step-by-step explanation:
The given values are:
Annual deposit,
PV = $1,800
Interest rate,
r = 2%
or,
= 0.02
As we know,
⇒ [tex]FV=PV\times (1+r)n[/tex]
On substituting the values, we get
⇒ [tex]=1,800\times (1 + 0.02) 4 + 7 + 13[/tex]
⇒ [tex]=1,800\times (1.02)24[/tex]
⇒ [tex]=1,800\times 1.6[/tex]
⇒ [tex]= 2,880[/tex] ($)
EXPAND:
Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x and log y.
log x^5y^2
Here are the answer choices:
A . 5 log x +2 log y
b. 10 log xy
C. 10 log x log y
D. log 5x + log 2y
Explain how you got the answer in Words or either in a mathematical expression!!!
Answer:
[tex] \displaystyle A) 5\log( {x}^{} ) + 2 \log( {y}^{} ) [/tex]
Step-by-step explanation:
we would like to expand the following logarithmic expression:
[tex] \displaystyle \log( {x}^{5} {y}^{2} ) [/tex]
remember the multiplication logarithmic indentity given by:
[tex] \displaystyle \rm \log( \alpha \times \beta ) \iff \log( \alpha ) + \log( \beta ) [/tex]
so our given expression should be
[tex] \displaystyle \log( {x}^{5} ) + \log( {y}^{2} ) [/tex]
by exponent logarithmic property we acquire:
[tex] \displaystyle 5\log( {x}^{} ) + 2 \log( {y}^{} ) [/tex]
hence, our answer is A
NEED ANSWER ASAP DOING A QUIZ
what is the area of the figure
Answer:
the answer should be 126
Step-by-step explanation:
when you are looking for the area you multiple all of them so i should be right
Answer:
76.5
Step-by-step explanation:
6+3=9
1/2b*h
1/2*9*3=13.5
7*9=63
13.5+63=76.5
=76.5