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

Answer:

D

Step-by-step explanation:

f(g(x)) = x when the two functions are inverses

A. f(g(x)) = 2/((x+6)/2) - 6 = (4/(x+6)) - 6 = (4 - 6x - 36)/(x+6) = -(6x+32)/(x+6), wrong

B. f(g(x)) = [tex]\frac{\sqrt[3]{5x^{3} } }{5}[/tex] = x[tex]\frac{\sqrt[3]{5} }{5}[/tex], wrong

C. f(g(x)) = (3x-4)/3 + 4 = x + (8/3), wrong

D. f(g(x)) = 2((x+9)/2) - 9 = x

Answer:

Read Expl.

Step-by-step explanation:

To go from a length to the surface area, you can do 6[tex]l^{2}[/tex]

So you can backtrack, you can do 294/6 which is 49

[tex]\sqrt{49}[/tex] is what you can do next and that will get you 7.

Answer:

5.5 hours

Step-by-step explanation:

1. Understand

A person can travel at the speed of 40 miles per hour (mph). If the speed is increased by 50%, how long will it take to cover 330 miles?

a. What is asked?  How long will it take to cover 330 miles travelling at a speed 50% greater than 40 mph

b. What are the given facts?

Current Speed = 40 mph

New Speed = 40 mph + 50% of 40 mph

Distance = 330 miles

2. Plan

Calculate the new speed and then use the two speeds to calculate time based on Distance = Speed x Time

What is the formula to solve the problem?

Distance = Speed x Time

3. Solve

Show your solution.

Original Speed = 40 mph

New Speed = 40 + (0.5)*(40):  New = 60 mph

Time at New Speed is:

Distance = Speed x Time

330 miles = (60 mph)*(Time)

Time = (330 miles)/(60 miles/hour)

Time = 5.5 hours

4. Check

Distance = Speed x Time

How far does a person travel going 60 miles/hour for 5.5 hours?  Is it 330 miles?

Distance = (60 mph)*(5.5 hours)

Distance = 330 miles

YES

Answer:

1/3

Step-by-step explanation:

due to her having triplits it will be a 1/3 chance that they will all be boys because you need to take in account the three children

Answer:

Step-by-step explanation:

There are 8 different ways that the order of the children is 1/8 for each one.

So for boy * boy * boy = 1/2 * 1/2 * 1/2 = 1/8

All of the other possibilities also produce 1/8 because each child has a possibility of 1/2 to be a boy or a girl.

Answer:

Explained below.

Step-by-step explanation:

Complementary angles are angles that sum up to 90°.

Here,

Then,

Angle P + Angle Q = 90°

2x + 7x = 90°

9x = 90°

x = 90/9

x = 10°

Therefore,

[tex]\rule{150pt}{2pt}[/tex]

The solution of the equation after solve the equation, 2x − 3 4x = 21 is 4. Option 3 is correct.

To obtain the solution of an equation, the similar terms should be arranged together and then mathematical operation need to be performed to simplify it.

The equation which is provided to solve is,

[tex]2x - 3 +4x = 21[/tex]

To solve this equation, arrange the like terms as,

[tex]2x - 3 +4x = 21\\2x +4x - 3 = 21\\6x-3=21[/tex]

Add number 3 both side of the equation as,

[tex]6x-3+3=21+3\\6x=24[/tex]

Divide both side of the equation with number 6, we get,

[tex]x=\dfrac{24}{6}\\x=4[/tex]

Hence, the solution of the equation after solve the equation, 2x − 3 4x = 21 is 4. Option 3 is correct.

Learn more about the solution of the equation here;

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Answer:

366 cm^3

Step-by-step explanation:

V = lwh

1st rectangle (L) = 3 x 6 x 15 = 270 cm^3

2nd rectangle (R) = 6 x 4 x 4 = 96 cm^3

270 + 96 = 366 cm^3

Hope this helps

Answer:

452.39

Step-by-step explanation:

The volume of the cylinder is 452.39

hope this helps <3

Answer:

452.39

Step-by-step explanation:

Based on the data given on the amounts Chris and Sam are paid, we can infer that Chris earns $0.75 more per hour than Sam.

Chris earns $8.25 an hour according to the equation that shows how he is paid of y = 8.25x.

The amount earned by Sam can be found as:

= Any value of y / Corresponding value of x

= 30 / 4

= $7.50 per hour.

The difference between their pay is:

= 8.25 - 7.50

= $0.75

In conclusion, Chris earns $0.75 more.

Find out more on wage rates at https://brainly.com/question/24392720.

Answer:

B.) y = 5x

Step-by-step explanation:

The point-slope test (y₁ - y₂ = m(x₁ - x₂)) can be used to determine the slope of a line. The hypotenuse of a right triangle is the diagonal line, opposite of the right angle. The slope (m) is found using two points on the line.

First point: (1,5)      Second Point: (-2,-10)

y₁ - y₂ = m(x₁ - x₂) -----> (y₁ - y₂) / (x₁ - x₂) = m  

(5 - (-10)) / (1 - (-2)) = m

(15) / (3) = m

5 = m

The slope-intercept equation (y = mx + b) can be used to determine the y-intercept. The y-intercept is the "y" value when "x" is zero. In the equation, the y-intercept value is represented by "b". This variable can be found using the value of the slope and a point on the line.

Point: (-2,-10)            Slope: 5

mx + b = y

5(-2) + b = -10

-10 + b = -10

0 = b

After plugging in the values to the standard form equation, you are left with y = 5x. When "x" increases by one, the "y" value increases by five

Answer:5,200ft and 145in is less than a mile and 40in

Step-by-step explanation: I got this answer by first figuring out how many feet are in 145in so i did 145 divided by 12 which gave me 12.083... so I added just 12 to 5,200 which gives 5,212

Then I know that there are 5,280ft in 1 mile which is already bigger than 5,212 then I still add 40 divided by 12 which equals 3.3... to the total which gives me 5,283ft which is more than 5,212

Hope this Helps!

Answer:

C

Step-by-step explanation:

the 50 miles don't really matter in this situation. 180$ per hour will be 180h (as we don't know the number of hours used) and the 50$ gas fee, which is what C is representing.

Answer:

C:  C = 180h + 50

Step-by-step explanation:

180 per hour, with h representing how many hours, and then  you need a $50 gas fee. So, the answer would be C = 180h + 50

The equation that models the number of miles that Beckah bikes during the nth month of the year will be D. 6 × 2^n−1.

From the information, the equation that models the number of miles that Beckah bikes during the nth month of the year will be 6⋅2^n−1.

The number of miles that Beckah bike during the fifth month of the year will be:

= 6⋅2^5 −1.

= 6 × 16

= 6 × 16

= 96 miles.

Learn more about equations on:

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Answer:

24 ft sq.

Step-by-step explanation:

Multiply the base and height to get your annswer!

Answer:

24 units²

Step-by-step explanation:

The given shape is a parallelogram.

Here,

Base ( b ) = 6 ft

Height ( h ) = 4 ft

To find : Area

Formula : -

Area of parallelogram = bh

Area of parallelogram

= 6 x 4

= 24 units²

Answer:

the value of n is 9

Step-by-step explanation:

7:2=each interior angle/each exterior angle

7:2= (n-2)180/360

7/2=(n-2)/2

14=2n-4

2n=18

n=9

The equivalent expression to given expression 1/a⁷ is a⁻⁷. So, correct option is A.

The equivalent expression to 1/a⁷ can be found using the rule of exponents.

The rule states that when a non-zero number is raised to a negative exponent, it becomes the reciprocal of the number raised to the positive exponent.

In this case, the expression 1/a⁷ has a negative exponent, which means it can be written as the reciprocal of a raised to the positive exponent:

1/a⁷ = a⁻⁷

So, the correct equivalent expression is option a) a⁻⁷.

Option b) 7ᵃ is not equivalent to 1/a⁷. 7ᵃ means "7 raised to the power of a," which is different from 1/a⁷.

Option c) None of the above is also not correct because option a) a⁻⁷ is indeed the equivalent expression to 1/a⁷.

In summary, the equivalent expression to 1/a⁷ is a⁻⁷, which is option a).

To learn more about expression click on,

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#SPJ2

Complete question is:

Select the equivalent expression,1/a⁷=?

a) a⁻⁷

b) 7ᵃ

c) None of the above

Answer:

-3.65

Step-by-step explanation:

(16/sin 120) sin 25

Answer:

Mario's unit rate is 900

Step-by-step explanation:

hooe this helps

Answer:

4mi/hr

Step-by-step explanation:

Mario's walking rate is (2/3mi)/(10min)

Convert minutes to hours:

(2/3mi)/(10min)  *  (60min)/(1hr) =

(2/3mi*6min)/hr=

4mi/hr

The product of the two equation in which one has single power of variable and another one has the highest power of variable two, is -2a³+9a²+45a+6ab²+18b².

Product is the resultant number which is obtained by multiplying a number with another. Let a number a is multiplied by number b. Then the Product of these two number will be,

[tex]p=a\times b[/tex]

Here, (a, b) are the real numbers.

The binomial equation given in the problem is,

[tex]a+ 3[/tex]

The second equation given in the problem is,

[tex]-2a^2 +15a+ 6b^2[/tex]

The product of these two equations are,

[tex]p=(a+3)\times (-2a^2 +15a+ 6b^2)\\p=-2a^3+15a^2+6ab^2-6a^2+45a+18b^2\\p=-2a^3+9a^2+45a+6ab^2+18b^2[/tex]

Thus, the product of the two equation in which one has single power of variable and another one has the highest power of variable two, is -2a³+9a²+45a+6ab²+18b².

Learn more about the product here;

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Answer:

OPTION C

−2a3+9a2+45a+6ab2+18b2

Step-by-step explanation:

100 on edg im swag like tht

The value of k, the constant of variation from the given joint variation as evident from the task content is -2.

a = k × b × c

where,

-42 = k × 7 × 3

-42 = 21k

divide both sides by 21

k = -42 / 21

k = -2

Therefore, the constant of variation, k is -2

Learn more about constant of variation:

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Answer:

250

Step-by-step explanation:

1. Find the total amount of people interviewed

You asked 15 students over 4 periods of lunch. That means you have to multiply:

15 x 4 = 60. You asked 60 people total.

2. Solve

You know that 25 people chose pizza out of the 60 people that you interviewed. That would make a fraction: 25/60

Now, there are 600 people, and the question is asking you how many people will get pizza based on the ratio of 25/60

So, in this case, 25/60 = x/600

You have to multiply 60 by 10 to get 600 as your denominator.

So, similarly, you have to multiply 25 by 10 to keep the same ratio.  

25 x 10 = 250

Hence, 250/600 people will buy pizza.

Hope this helps,

-jp524

According to the interpretation of the confidence interval, the correct statement is:

The cell phone screen protector maker can be 96% confident that the interval from 0.15 to 0.28 captures true proportion of customers who file a warranty claim.

It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.

In this problem, we have a 96% confidence interval between 0.15 and 0.28, hence we are 96% confident that the population proportion is between these values, and the correct option is:

The cell phone screen protector maker can be 96% confident that the interval from 0.15 to 0.28 captures true proportion of customers who file a warranty claim.

More can be learned about confidence intervals at https://brainly.com/question/25890103

Answer: If many random samples of size 200 are selected from the population of all customers, about 96% of the intervals constructed from the samples would capture the true proportion of customers who file a warranty claim

Step-by-step explanation: took the test

Answer:

The answer is D because if you reflect across the y-axis then the x-axis you get D

Answer:

The answer would be D

Step-by-step explanation:

Answer:

352

Step-by-step explanation:

if 88 is only a forth

88*4=352

Answer:

x-intercept : (-1.2,0) 

y-intercept : (0,-0.7)

Step-by-step explanation:

Hello!

An x-intercept is when the y-value is 0, and a y-intercept is when the x value is 0.

Another way to think about it, x-intercepts intersect with the x-axis, while the y-intercept intersects with the y-axis.

A coordinate, a point on a graph, is written as (x,y) or x-position and y-position.

x-intercept : (-1.2,0)  

y-intercept : (0,-0.7)