last year, a dvd store sold 670 actions dvds, 580 comedy dvds, 450 drama dvds, and 300 horror dvds. if a media buyer expects to sell 5000 dvds this year, based on these results predict how many comedy dvds she should buy

Given:

The two functions are:

[tex]g(b)=5b-9[/tex]

[tex]h(b)=(b-1)^2[/tex]

To find:

The value of [tex](h\circ g)(-6)[/tex].

Solution:

We have,

[tex]g(b)=5b-9[/tex]

[tex]h(b)=(b-1)^2[/tex]

We know that,

[tex](h\circ g)(b)=h(g(b))[/tex]

[tex](h\circ g)(b)=h(5b-9)[/tex]

[tex](h\circ g)(b)=[(5b-9)-1]^2[/tex]

[tex](h\circ g)(b)=[5b-10]^2[/tex]

Putting [tex]b=-6[/tex], we get

[tex](h\circ g)(-6)=[5(-6)-10]^2[/tex]

[tex](h\circ g)(-6)=[-39-10]^2[/tex]

[tex](h\circ g)(-6)=[-49]^2[/tex]

[tex](h\circ g)(-6)=2401[/tex]

Therefore, the value of [tex](h\circ g)(-6)[/tex] is 2401.

Answer:

where is the question

Step-by-step explanation:

chai

Answer:

1 is the correct answer

Step-by-step explanation:

y2-y1/x2-x1=slope

-2-3/-3-2

-5/=-5

1

i dont seem to understamd

Step-by-step explanation:

To find the distance you need the distance formula. The distance formula is [tex]\sqrt{(x_{2}-x_{1} )^{2} + (y_{2}-y_{1})^2 }[/tex]. Order the pairs with a 1 or a 2. Look at he point that you labeled 2. Substitute any of the points with a 2 subscript into the equation. The x value is the first number in the ordered pair and the y value is the second number in the ordered pair. Repeat this with the ordered pair you labeled as 1. Substitute the numbers in. You should get something like this: [tex]\sqrt{(-7-5)^{2} + (-7-9)^{2} }[/tex]. If you are doing this without a calculator, it is easier than you think. Remember PEMDAS? Well apply that with this. Find out the solution to the parenthesis first. The first parenthesis should come out with[tex](-12)^{2}[/tex]. Finish the expression off by evaluating the expontent. That comes out to 144. Try this with the next parenthesis... The answer should be 256. Your square root should look like this: [tex]\sqrt{144+256}[/tex]. Add the numbers under the parenthesis together and you should get [tex]\sqrt{400}[/tex]. I'm sure you have a calculator in you hand ready to solve this. NOW YOU FIND THE ANSWER!!!

Answer:

75%

Step-by-step explanation:

i am not going to say it right but i think it is but my teacher have us doing this now

Answer:

x = 20

Step-by-step explanation:

angle 2 and 3 are congruent, becaus they are alternate interior angles. So, 3x-10 = x+30, 2x = 40, x= 20.

Answer:

600

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

i think so...

[tex] \sqrt{30} = 5.47[/tex]

have a nice day

Answer:

√27

Step-by-step explanation:

use the pythagorean theorem

3²+x²=6²

9+x²=36

x²=27

√x²=√27

x=√27

Answer:

Look down below ;)

Step-by-step explanation:

How far is the campsite from their car?

4 miles

(0,4)

Write an equation that describes the relationship between d and h.

d = 3h + 4

After how many hours will the hikers be 16 miles from their car?

16 = 3h + 4

12 = 3h

4 = h

After 4 hours

Answer:

-9

Step-by-step explanation:

I just took the same test

Her employer's contribution to the 401(k) was $2,500.

Given that for the first 3% of Pam's salary, her employer matches 100% of her 401(k) contributions, and from 3% to 12%, Pam's employer matches 50% of her 401(k) contributions, and Pam's salary is $30,000 , and last year, she contributed $4000 to her 401(k) plan, to determine what was her employer's contribution to the 401(k) the following calculation must be made:

Therefore, her employer's contribution to the 401(k) was $2,500.

Learn more about calculus in https://brainly.com/question/22810844

Answer: C. $2250

Step-by-step explanation: took the quiz.

Answer:

Nosotros teníamos 120 dólares.

Step-by-step explanation:

Sean [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] lo teníamos, lo que tenemos y lo que tendremos, respectivamente. A continuación, traducimos puntos claves del enunciado en expresiones matemáticas:

(i) Tu tienes la mitad de lo que tenías:

[tex]y = \frac{1}{2}\cdot x[/tex] (1)

(ii) Tendrás el triple lo que tienes:

[tex]z = 3\cdot y[/tex] (2)

(iii) Si tuvieras lo que tienes, tenías y tendrás, tendrías lo que yo tengo que es 180 dólares más de lo que tu tendrás:

[tex]x+y+z = z + 180[/tex]

[tex]x + y = 180[/tex] (3)

En consecuencia, tenemos el siguiente sistema de ecuaciones lineales:

[tex]\frac{1}{2}\cdot x -y = 0[/tex] (1)

[tex]3\cdot y - z = 0[/tex] (2)

[tex]x + y = 180[/tex] (3)

La solución del sistema de ecuaciones es: [tex]x = 120[/tex], [tex]y = 60[/tex], [tex]z = 180[/tex].

Nosotros teníamos 120 dólares.

Answer:

A) The unit rate is 2 inches of snow per hour.

&

E) At the same rate 12 inches of snow will fall in 6 hours.

Step-by-step explanation:

Answer:

a and e

Step-by-step explanation:

did it on usatestprep

Step-by-step explanation:

anyway.. for your answer i only know that number of fifths in 1 is correct I dont know about the rest.

Answer:

0.14

Step-by-step explanation:

Here, we want to find the probability that a student earns the grade of A

Mathematically, we have this as the frequency of A divided by the sum of all frequencies

From the question, the sum of all frequencies will be (5 + 10 + 15+ 3 +2) = 35

Now we place the frequency of A over this

This gives;

5/35 = 1/7 = 0.14

Answer:

x=5

Step-by-step explanation:

7 times x

7 times 2

7x-14= 21

14+14= 21+ 14

7x=35

x=5

7 times five equals 35

Answer:

Question is not clear, and the options are none of the above

Step-by-step explanation:

Answer:

8 is answer

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

[tex]8^2[/tex] is also [tex]8*8[/tex]

[tex]8*8[/tex] is 64

Hope I helped

Answer:

98°

Step-by-step explanation:

each half adds up to 180° so 103+28=131 then 180-131=49

and that would be just one of the bottom angles so you would double it to get 98

Answer:

the volume of PABCD is 1/3 of the volume of the cube

Step-by-step explanation:

Answer:

8) 22

9) cos 33°

10) 55

Step-by-step explanation:

[tex]8) \: \: \: \tan(x) = \frac{6}{15} \\ x = \tan^{ - 1} ( \frac{6}{15} ) \\ x = 21.8 \\ x = 22 \\ \\ \\ 9) \: \: \: \: \: \sin(57) = 0.83867.... \\ \cos(33) = 0.83867.... \\ \\ \\ 10) \: \: \: \cos(35) = 0.8192..... \\ \sin(55) = 0.8192.... \\ so \: \: \: z = 55[/tex]

I hope that is useful for you :)

Answer:

check all boxes except for the last 1

Answer:

(1) 9

(2) [tex]\sqrt{6}[/tex]

(3) 6([tex]\sqrt{6}[/tex])

Step-by-step explanation:

From the question,

(1) ([tex]\sqrt{9}[/tex])²

    Applyin the law of multiplication of surds

   ([tex]\sqrt{9}[/tex])²  = (

(2)  ([tex]\sqrt{2}[/tex])× ([tex]\sqrt{3}[/tex]) =

   Also applying the the law of multiplication of surd

   ([tex]\sqrt{2\\}[/tex])×([tex]\sqrt{3}[/tex]) =  ([tex]\sqrt{6}[/tex]) ( This is an irational answer)

   ∴ ([tex]\sqrt{2}[/tex])×([tex]\sqrt{3}[/tex])  = [tex]\sqrt{6}[/tex]

 (3) 2([tex]\sqrt{2}[/tex])×3([tex]\sqrt{3}[/tex])

     Also applying the law of multiplication of surds i.e Multiply surds to     surds and whole number to whole number

     = 2×3×([tex]\sqrt{2}[/tex])×([tex]\sqrt{3}[/tex])

       6×([tex]\sqrt{6}[/tex]) = 6(

According to the hypothesis tested, the confidence interval that would lead us to reject [tex]H_0: p = 0.3[/tex] in favor of [tex]H_0: p < 0.3[/tex] is given by:

(b) (0.19, 0.27)

At the null hypothesis, we test if the proportion is of 0.3, that is:

[tex]H_0: p = 0.3[/tex]

At the alternative hypothesis, we test if the proportion is less than 0.3, that is:

[tex]H_1: p < 0.3[/tex]

We want to reject [tex]H_0: p = 0.3[/tex] in favor of [tex]H_1: p < 0.3[/tex], hence we need an interval that is entirely below 0.3, which is given by option b.

You can learn more about confidence intervals at https://brainly.com/question/16236451