Find (f/g)(x). f(x)=/x^2-1 g(x)=/x-1

Answer:

6982 ft squared

Step-by-step explanation:

The area of the trapezoid is 10000 feet square and the area of the square building is 3072 square feet. In order to find the area of the lawn, you need to subtract the area of the building from the area of the trapezoid, which is 6982 feet squared.

Answer:

6982 ft squared

Step-by-step explanation:

Therefore , the solution of the given question of equation come out to be

x = 1/3 tablespoon .

Two variables that are equal—one on each side of a "equals" sign—are represented mathematically by an equation. Equations can be used to solve problems in daily life. To tackle challenges in real life, we frequently seek pre algebra assistance. The very foundation of mathematics is pre-algebra.

Here,

Given : 2/3 cup Tablespoons

We have to find the half Tablespoons

So,

In order to find the half Tablespoons

Thus,

=> 1 Tablespoon = 2/3Tablespoons + x

where x is the half Tablespoons

=> x = 1/3 tablespoon

Therefore , the solution of the given question of equation come out to be

x = 1/3 tablespoon .

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Answer:

Step-by-step explanation:

h(t)=16t²+144t +4

=16(t²+9t+(9/2)²)-16(9/2)²+4

check your problem statement.

Answer:

I do not know.

Step-by-step explanation:

The effect of subtracting 2 from the input on the graph of the function is a translation of 2 units to the right.

For any function f(x), we define a horizontal translation of N units as:

g(x) = f(x + N)

And what this does, is translate the graph N units horizontally.

if N > 0, then the translation is to the left.

if N < 0, then the translation is to the right.

Here we want to subtract 2 from the input, so we will get:

f(x - 2)

By using the definition above, we know that we will have a translation of 2 units to the right.

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The modifications and their effects on the ecosystem include:

With the construction of the Los Angeles aqueduct, water was transported to the west such that many desert regions there became lush urban areas and farmlands.

Large high ways and the damming of the Colorado River did not have such a good impact however, as they both led to runoff and to water bodies in the Owen valley drying up.

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Answer:

GCF of 18 and 24 is 6. So she can sell 6 packages with 4golf balls and 3 golf clubs

Step-by-step explanation:

Give brainliest please

Answer:

C= 54.O4

.................

Answer:

344 grams are not fat

Step-by-step explanation:

400 x (100% - 14%) =

400 x 86% = 344

Hope that helps! :)

-Aphrodite

Answer:

7/8 x 14= 12.25 or 49/4 or 12 1/4

(3/8 x 6) + 2 1/5= 4.45

(hope this helps I probably wasn't fully understanding)

Answer:

6.84931507 = 6-7 deaths

Step-by-step explanation:

3,600,000 / 525600 (minutes in a year) = 6.84931507

4x - 2y = 6

2y = 4x - 6

y = (4x - 6)/2

y = 2x - 3

Answer:

conclude that there is no significant evidence to support the claim that difference exists between the mean number of miles run by the two groups.

Step-by-step explanation:

H0 : μ1 = μ2

H0 : μ1 ≠ μ2

The test statistic :

(x1 - x2) / √(s1²/n1) + (s2²/n2)

(49.5 - 48.5) / √(1.1²/38) + (2.6²/33)

1 / √0.2366905

Test statistic = 2.055

Using the Pvalue from Tstatistic calculator :

df = (smaller sample - 1) = 33 - 1 = 32

Pvalue from Test score calculator = 0.048

Pvalue > α ; Fail to reject the null ;

Hence, conclude that there is no significant evidence to support the claim that difference exists between the mean number of miles run by the two groups.

Answer:

28.012

Step-by-step explanation:

9.4*2.98 = 28.012

Using a subtraction operation, the overall temperature change over those five days that Joe tracked the temperature in his town was a decrease of 3°C.

The temperature change can be computed by determining the differences in temperature from one day to the next and summing the differences.

The temperature change can also be computed by finding the difference between the ending period's temperature and the beginning period's temperature.

Days         Temperature     Change

Monday          23°C                  0

Tuesday          14°C (23 - 9)    -9

Wednesday    21°C (14 + 7)    +7

Thursday       25°C (21 + 4)    +4

Friday            20°C (25 - 5)    -5

Overall change =                  -3°C

= 20°C - 23°C = -3°C

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The graph of the equation x + 2 would be a straight line that starts at the point (-2, 0) and goes up 2 units on the y-axis. So, the line would pass through the point (0,2) and would be parallel to the x-axis.

The graph of the equation 3x when x is 2 would be a straight line that starts at the point (0,0) and goes up 6 units on the y-axis for each 1 unit on the x-axis. So, the line would pass through the point (2,6) and would have a slope of 3.

In mathematics, a diagram is a visual representation of mathematical concepts or ideas. Diagrams can take many forms, such as graphs, charts, illustrations, and figures, and can be used to help explain or understand mathematical concepts.

For example, a graph is a type of diagram that is used to represent the relationship between two variables. It is commonly used in algebra and calculus to show the relationship between an independent variable (x-axis) and a dependent variable (y-axis).

A chart is a type of diagram that is used to organize and present data. It is commonly used in statistics to show the distribution of data or to compare different sets of data.

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We found the value of K is 5 and the root of equation is x = -1/2 and x = -5/2

An equation of second order polynomial having one variable is called quadratic equation. Second order means the highest power used with variable is 2.

We are given, 4x²+ 12x +k =0, k =Z and x = R

the quadratic equation is 4x²+12x+k =0

we know the roots of a quadratic equation is x = - b ± √ (b² - 4ac) / 2a

when the quadratic equation is ax²+bx+ c= 0

Hence, roots of the equation given in question will be,

 x = - 12 ±√ (12² - 4×4×k) / 2×4

x = - 12 ± √(144-16k) / 8

as per the condition given in question, one root of this equation is 5 times the other root.

hence, - 12 -12 √(144-16k) / 8 = [- 12 + √(144-16k) / 8] × 5

multiplying both sides by 8

- 12 - √(144-16k) = [-12 + √(144-16k)] ×5

- 12 - √(144-16k) = - 60 + 5√(144-16k)

- 12 + 60 = 6√(144-16k)

48 = 6√(144-16k)

8 = √(144-16k)

64 = 144 -16k

16k = 80

k = 5

the value of k =5

by putting the value of k =5

x = -12 ± √ (144 - 80) / 8 = (-12 ± 8) /8

x = -1/2 and x = -5/2

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Answer:

6

Step-by-step explanation:

The value of fraction will be;

⇒ 101/24

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The expression is,

⇒ 7/8+ (-2/3) - (-4)

Now,

Since, The expression is,

⇒ 7/8+ (-2/3) - (-4)

Simplify as;

⇒ 7/8 - 2/3 + 4

⇒ (21 - 16)/24 + 4

⇒ 5/24 + 4

⇒ (5 + 96) / 24

⇒ 101/24

Thus, The solution is,

⇒ 101/24

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ax + by = 6000 and a + 5 = b are two equations that might be used to calculate how many soup cans and frozen dinners were purchased.

There are several methods to define a formula. A mathematical statement that establishes the equivalence of two mathematical expressions is the definition of an equation in algebra. This is best shown by the formula 3x + 5 = 14. In this instance, the word equal comes between the phrases 3x + 5 and 14. Even the most basic algebraic equations include the usage of mathematical variables.

X now has 300 mg of sodium in it.

[tex]x = 300[/tex]

Y also has 450 mg of sodium in it.

[tex]y = 450[/tex]

Samuel reportedly buys five more frozen dinners than soup cans, and they all have a combined salt content of 6000 mg.

Let the number of frozen dinners be "b," and the number of soup cans be "a."

ax + by = 6000

a(300) + b(450) = 6000 .

Samuel bought 5 more frozen dinners than soup cans, according to the inquiry, which results in equation

[tex]a + 5 = b \\a(300) + (a + 5)(450) = 6000\\300a + 450a = 6000 - 2250\\ 750a = 3750\\ a = 3750/750\\ a = 5\\5 + 5 = b\\ b = 10[/tex]

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Answer:

Yes.  This indicates that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company.

Step-by-step explanation:

Damage liability claims by single people under the age of 25 = 67%

Sample size = 52 claims

Claims made by single people under the age of 25 from the sample = 43 out of 52 claims

In percentage terms, the claims made by single people under the age of 25 from the sample = 43/52 = 83%

Since 83% > 67% (with a difference of 16%)

Answer:

Mizuki is here to help! The answer will be $11.95

Step-by-step explanation:

Ok so... Frankie wants 5 bananas, 15 oranges, and 10 peaches for the salad right?

First, let's find the price of the 5 bananas. We multiply 1 by 5 and get 5, so $5 is the cost for the bananas he is going to spend.

Next, let's find the price for 15 oranges. First, we will divide 15 by 6, which will end up with 2.5. Then, we multiply 1.5 by 2.5 which will be 3.75. The price for the oranges he is going to buy is $3.75.

Then, let's find the price of the 10 peaches. The step is similar from the way we solved the price of oranges. We divide 10 by 4 and get 2.5. Next, we will multiply 1.28 by 2.5 and get 3.2. The price for peaches is $3.2.

Finally, let's add up 5, 3.75, and 3.2! The total should be 11.95! That will be your answer!

Answer:

Step-by-step explanation:

Given ΔRST with:

Solution

We know t is opposite ∠T and r is opposite ∠R.

Use the law of sines to find the missing value of t.

Substitute the known values and solve for t:

Answer:

t = 6

Step-by-step explanation:

In ΔRST:

Sine Rule

[tex]\sf \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

Given:

Substitute the given values into the Sine Rule formula and solve for t:

[tex]\implies \sf \dfrac{r}{\sin R}=\dfrac{s}{\sin S}=\dfrac{t}{\sin T}[/tex]

[tex]\implies \sf \dfrac{15}{\sin 30^{\circ}}=\dfrac{t}{\frac{1}{5}}[/tex]

[tex]\implies \sf \dfrac{15}{\sin 30^{\circ}}=5t[/tex]

[tex]\implies \sf t=\dfrac{15}{5 \sin 30^{\circ}}[/tex]

[tex]\implies \sf t=\dfrac{15}{5 \cdot \frac{1}{2}}[/tex]

[tex]\implies \sf t=\dfrac{15}{\frac{5}{2}}[/tex]

[tex]\implies \sf t=15 \cdot \dfrac{2}{5}[/tex]

[tex]\implies \sf t=\dfrac{30}{5}[/tex]

[tex]\implies \sf t=6[/tex]

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Answer:

If

f

(

x

)

=

2

x

4

−

3

x

+

3

f(x)=2x

4

−3x+3, then what is the remainder when

f

(

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3.5 + (1 + 4)\times (6.5 + 1.5)}\\\mathsf{1 + 4 = \bf 5}\\\mathsf{6.5+1.5=\bf 8}\\\mathsf{3.5+5\times8}\\\mathsf{5\times8=\bf 40}\\\mathsf{3.5+40}\\\large\text{= \bf 43.5}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 43.5}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

1) Divide both sides by the coefficient of x.

  x = (7.2/(-14/9))/((-108/35)/(-2/3))

  x = -1

__

2) Multiply both sides by the factor x is being divided by.

  x = (-3.18/5.3)/((-20/3)/(-2))

  x = -2

_____

Your calculator can help you with this.

The rate of change of surface area is 524.02 square kilometers per minutes.

The total space occupied by a three-dimensional square prism is called surface area.

Given, the decreasing rate of the base side with respect to time, ds/dt = 7 km/min

the increasing rate of height with respect to time, dh/dt = 10 km/min

At a time, t, base side, s = 4 km

and height, h = 9 km

we need to determine the rate of change of surface area with respect to time, d A/dt

from the differentiation chain rule, d A/ dt = d A /dt × ds /ds

                                                        d A /dt = d A/ ds × ds /dt ... equation 1

we know that the surface area for prism, A = 2s² + 4sh

if we differentiate with respect to s then we find d A /ds

  d/ds (A) = d/ ds (2s² + 4sh)

d A /ds = 4s + 4h +4s dh/ds ......  equation 2

now dh /ds = dh /ds × dt /dt [ using differentiation chain rule]

dh/ds = dh/ dt× dt/ds

d h/ ds = dh/dt × 1/ ds/dt

it stated earlier that dh/ dt = 10 and ds /dt = 7

dh / ds = 10/7

putting this value in equation 2, we get

d A /ds = 4s +4h + 4s ×10/7

as we know at time t, s= 4 and h = 9

d A /ds = 4 × 4 + 4 ×9 +4×4 ×10 /7

d A /ds = 74.86

putting the value  d A /ds in equation 1, we get

d A /dt = d A /ds × ds/ dt

d A/ dt = 74.86 × 7

d A /dt = 524.02 km² / min

hence, the rate of change of surface area = 524.02 square kilometers per minutes

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Answer:

Step-by-step explanation:

3 너 도넛

Each position in base 10 is worth ten times the place to its right, and there are ten numbers (0–9). 49D2 in the base-ten system is equal to 204064.

When you come to "two," you discover that there isn't a single digit in base-two math that stands for "two." Instead, you enter a "1" for "1 two" and a "0" for "0 ones" in the twos and units columns, respectively.

[tex]49D2 in the base-ten system is 4916^3 + 1316^2 + 216^1 \\\\= (494096) + (13256) + (216) \\\\= 200704 + 3328 + 32\\ \\= 204064[/tex]

A binary counting system simply employs the numerals 0 and 1 in each place. Base 2 is another name for binary. In binary, a second place is required to represent a number greater than 1.

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