A group of 6 students was asked, " How many hours did you watch television last week?" Here are their responses 17 , 15 , 5 , 8 , 20 , 20 Find the mean number of hours for these students. If necessary, round your answer to the nearest tenth.

Answer:

C(F) = 5/9 F − 160/9

Step-by-step explanation:

[tex]f(c) = \frac{5}{9} (c-32)[/tex] will be the required inverse function of f(c).

The given function is:

[tex]f(c) = \frac{9}{5} c +32[/tex]

If there is a function f(x), then a function g(x) is called the inverse of the function if f(x) is a bijective function and the domain of f(x) should be equal to the range of g(x) while the range of f(x) should be equal to the domain of g(x).

[tex]f(c) = \frac{9}{5} c +32[/tex],

let us suppose [tex]y= \frac{9}{5} c +32[/tex]

[tex]y-32 = \frac{9}{5} c[/tex]

[tex]c = \frac{5}{9} (y-32)[/tex]

[tex]c = \frac{5}{9} (f(c)-32)[/tex]

In order to get the inverse function, interchange c and f(c),

[tex]f(c) = \frac{5}{9} (c-32)[/tex]

Therefore, [tex]f(c) = \frac{5}{9} (c-32)[/tex] will be the required inverse function of f(c).

To get more about inverse functions visit:

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Answer:

3 bags

Step-by-step explanation:

9*(1/3 bag) = 3 bags

Answer:

x = 33

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask :)

Answer:

adding a fifth

Step-by-step explanation:

Answer:

adding a fifth

Step-by-step explanation:

duhhhhhhhhhhhh

Answer:

(1.2, –4.7)

Step-by-step explanation:

Since in the question it is mentioned that on the plane of coordinate, a line is made from point A (7,-2) to point B(-8,-9)

Also, the ratio of A to B is 5:8

Based on this, the x and y coordinates at point C is

[tex]= [\frac{5\times (-8) + 8\times 7}{5 + 8} , \frac{5\times (-9) + 8\times -2}{5 + 8}]\\\\= [\frac{16}{3}, \frac{-61}{13}][/tex]

= (1.2, –4.7)

Hence, the x and y coordinates of point C is (1.2, –4.7)

Therefore the last option is correct

Answer:

D

Step-by-step explanation:

Answer:

3

-

16

Step-by-step explanation:

Answer:

$15 in debt

Step-by-step explanation:

Subtract 33 from 18

18 - 33

= -15

So, he will be $15 in debt

Answer:

131.086

Step-by-step explanation:

Answer:

$54.25

Step-by-step explanation:64-9.75=54.75

Answer:64-9.75=54.25

Step-by-step explanation:

Answer:

[tex]x+7<-3[/tex]

Step-by-step explanation:

Sum = +

Less than = <

Merge all together accordingly you get ;

[tex]x +7<-3[/tex]

If you solve the equation , you will get;

x<-10

Step-by-step explanation:

According to Boyle's law,

[tex]$ V \propto \frac{1}{P} $[/tex]

or  [tex]$ V = \frac{k}{P} $[/tex]     , where k is the proportionality constant

Given that volume is 360 cubic feet and the pressure is 46 psi.

Therefore, replacing V with 360 cubic feet and P with 46 psi in the above equation gives

[tex]$ 360 = \frac{k}{46} $[/tex]

(360)(46) = k

k = 16560

Answer:

8

Step-by-step explanation:

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Answer:

Step-by-step explanation:

[tex]4\:circles\\20\:triangles\\\\Total\:shapes = 20+4 =24\\\\Circle : Total\:shape\\4 : 20\\\\Cross-cancel\:common\:factor ; 4\\4\div 4 =1\\20\div 4 =5\\\\= 1 :5[/tex]

Answer:

the answer is 1:5 bc if you do your time table connect it all it would be 1 to 5 sorry if you do this and it takes so long but hope this helped :)

Answer:

23

Step-by-step explanation:

Since it says f(x) that means that when we see f(-6) we are substituting x for -6.

This means that the equation will become

f(-6) = -3(-6) + 5

First multiply -3 and -6 (18)

f(-6) = 18 + 5

Next add 18 and 5 (23)

This means that f(-6) = 23

23

This problem is basically asking you to plug in -6 for x and solve using the order of operations (PEMDAS)

[tex]f( - 6) = - 3( - 6) + 5[/tex]

[tex]f( - 6) = 18 + 5[/tex]

[tex]f( - 6) = 23[/tex]

Answer:

Total time for which they ride = [tex]\bold{7\ hours}[/tex]

Number of miles they ride each way = 24 mi

Step-by-step explanation:

Average speed = 8 mi/hr

Let the Distance to Mill Park = [tex]D[/tex] mi

Let the time taken = [tex]t[/tex] hours

Formula:

[tex]Distance = Speed \times Time[/tex]

[tex]\Rightarrow D = 8t[/tex] ..... (1)

Now, when average speed = 7 mi/hr

Time taken is 1 hour more, i.e. Time = [tex]t+1[/tex] hours

Distance traveled is 4 mi more, i.e. [tex]D+4[/tex] mi

Using the Formula:

[tex]Distance = Speed \times Time[/tex]

[tex]D+4=7\times (t+1)[/tex]

From equation (1):

[tex]8t+4=7t+7\\\Rightarrow t=3\ hours[/tex]

From equation (1):

[tex]D = 8 \times 3 = 24\ mi[/tex]

Total time for which they ride = [tex]t+t+1 = \bold{7\ hours}[/tex]

Number of miles they ride each way = 24 mi

Answer:

real, rational

Step-by-step explanation:

The set to which the fraction 5/8 belongs to are real numbers and rational numbers.

A real number is a number that is both a rational number and an irrational number. A rational number is a number that can be expressed as a fraction of two integers

Examples of rational numbers are 1, 0, - 1, 5/8.

To learn more about rational numbers, please check: https://brainly.com/question/20435423

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Answer:

es 0.225 ... I believe so

Answer:

a its the first one

Step-by-step explanation:

because i did the math and i have dont this question before

Answer:

Angles 1 and 2 are supplementary

Step-by-step explanation:

Answer:

9/20 as a faction as a decimal 0.45

Step-by-step explanation:

Simplify 3/5 • 3/4

I hope this help

Answer

A

Step-by-step explanation:

B) f(g(1))= -8 is your answer

Answer:

s=(73-31)

31+s=73

s= 42

Step-by-step explanation:

In order to get an exact count of the Lincoln Elementary students you just have to subtract 31 from 73 to get 42 students. Therefore we get s to represent the Lincoln students, so the equation would be 31+s=73.

Answer:

See Explanation

Step-by-step explanation:

8. (1)

Area of trapezoid = 1/2(sum of || sides) *perpendicular distance

36 =1/2(x+ y) * 6

36 = ((x + y)*3

36/3 = x + y

12 = x + y

x + y = 12.... (1)

8(2)

It is given that:

x = 2y....(2)

From equations (1) & (2)

2y + y = 12

3y = 12

y = 12/3

y = 4

From equation (2)

x = 2y = 2*4

x = 8

9.

Area of square = 1 square m

Side of square = 1 m

Area of circle = 1 square m

[tex]\pi {r}^{2} = 1 \\ {r}^{2} = \frac{1}{\pi} \\ r = \frac{1}{ \sqrt{\pi} } \\ c = 2\pi \: r \\ c = 2\pi \times \frac{1}{ \sqrt{\pi} } \\ c = 2 \sqrt{\pi} \\ c = 2 \sqrt{3.14} \\ c = 2 \times 1.77200451 \\ c = 3.54400902 \\ c = 3.544 \\ difference = 3.544 - 1 = 2.544 \\difference \approx \: 2.54[/tex]

Answer:

16

Step-by-step explanation:

20-4=16

Answer:

Rational Number

Step-by-step explanation:

A rational number is, by definition, a number that can be expressed as the quotient or fraction of p/q of two integers, a numerator p and a non-zero denominator q.  33/3 is a fraction of p/q of two integers, a numerator p, or 33, and a non-zero denominator q, or 3.  This makes 33/3 a rational number.

Answer:

B. 12 square units

Step-by-step explanation:

Answer: 12 square units

Step-by-step explanation: 1/2(6)(4)

Answer:

a = 0, b = 6, c = 4

Step-by-step explanation:

Given

f(x) = - x² + x + 6 , then

f(- 2) = - (- 2)² + (- 2) + 6 = - 4 - 2 + 6 = 0 ← a

f(0) = 0 + 0 + 6 = 6 ← b

f(2) = - (2)² + 2 + 6 = - 4 + 2 + 6 = 4 ← c

Answer:

a = 0

b = 6

c = 4

Step-by-step explanation:

f(x) = -x² + x + 6

a = -(-2)² + (-2) + 6 = 0

b = -(0)² + (0) + 6 = 6

c = -(2)² + (2) + 6 = 4