Find the inverse of the Function
[tex]f(x)=\sqrt[3]{\frac{x}{9} } -4[/tex]

Answer: 48:104

Step-by-step explanation: 48 is the amount of pencils 48+56=108 is the total

Answer:

404

Step-by-step explanation:

Given the expression

g(x) = 2x and h(x) = x^2 + 4

Find hoh(-4)

First we need to find (hoh)(x)

(hoh)(x) = h(h(x))

h(h(x)) = h(x^2+4)

h(x^2+4) = (x^2+4)²+4

h(x^2+4) = x⁴+8x²+16 + 4

h(x^2+4) =  x⁴+8x²+20

h(h(x)) = x⁴+8x²+20

when x = -4

h(h(-4)) = (-4)⁴+8(-4)²+20

h(h(-4)) = 256+128+20

h(h(-4)) = 404

Hence hoh(-4) is 404

Answer:

95

Step-by-step explanation:

If the ratio is

8 :  9

and you know that there are 40 blue cards, than multiply the ratio by 5

8  ⋅  5 : 9  ⋅  5

40  :  45

If Max has 40 blue cards, he will have 45 red cards. Therefore, he has  40  +  45  =  95  cards in total.

Answer:

0.85p and p - 0.15p are right

Answer : Answer:

a) $10 per hour

b) Sandra

Step-by-step explanation: he equation y 10x describes the amount of money Sandra earns, where x is the number of hours she  works and y is the amount of money she earns

The table shows the amount of money Susan cams for different numbers of hours worked

Susan's Earnings

Time (h)           Money Earned

5                              40

8                              64                

10                             80

(a) How much money does Sandra eam per hour? Show your work

(b) Who earns more per hour? Justify your answer

Answer:

a)

y = 10x is sandra's equation. To find her hourly rate, we need to find how much she earns in "1" hour. Since x is hours, we plug in x = 1 and find y (which is her pay).

y = 10x

y = 10(1)

y = 10

$10 is Sandra's hourly rate.

b)

To find who earns more per hour, we need to find the hourly rate of Susan as well from the table. Then compare.

5 hours = $40 so per hour is 40/5 = 8

8 hours is 64, so per hour 64/8 = 8

10 hours is 80, so 80/10 = 8

The table is justified at $8 per hour.

We know Sandra earns $10/hr and Susan earns $8 per hour. So Sandra earns more per hour.

Answer:

Hey mate here's your answer⤵️

A stem and leaf plot is a way to plot data where the data is split into stems (the largest digit) and leaves (the smallest digits). ... The stem and leaf plot is used like a histogram; it allows you to compare data. While a histogram uses bars to represent amounts, the leaves of the stemplot represent amounts.

Answer:

-8.2≥4x

Step-by-step explanation:

theres really not much to it ≥ means greater than or equal to and ≤ means less than or equal to

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. Triangle Angle-Sum Corollaries: The acute angles of a right triangle are complementary. Corollary: a theorem in which the proof follows directly from another theorem.

Answer:

A corollary to a theorem is a statement that can be proved easily by using the theorem. A useful corollary to the Triangle Sum Theorem involves exterior angles of a triangle. ... The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

Answer:

A you can check it by substituting values into x like 5 and 6 then compare the E(X) value

The solution is :

The slope represents the rate of change of earnings in a week for every unitary change in number of doors knocked. For Jessica's function, her earnings change by +7 units for every unit of door she knocks.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

The slope of any linear function tells us the rate of increase in Y given 1 unit increase in X

[note the equation as y = mx+b ].

Here, m is the slope.

Jessica's weekly earning function is:

E(x) = 7x - 25

Where,

E(x) is her weekly earnings

x is the number of doors she knocks

So, when comparing this to the meaning of slope stated above, we can say that the slope of Jessica's function represents the rate of change of earnings in a week for every unitary change in number of doors knocked.

To learn more on slope click:

brainly.com/question/3605446

#SPJ7

[tex]\boxed{\boxed{\pink{\bf \leadsto The \ 22nd \ term \ is \ 71. }}}[/tex]

Given that the nth term of the Arthemetic Sequence is given by :-

[tex]\implies f(n) = 8 + 3(n-1) [/tex]

And we need to find the 22nd term .

So in place of n substitute 22 .

[tex]\bf\implies f(n) = 8 + 3(n-1) \\\\\bf\implies f_{22} = 8 + 3(22-1) \\\\\bf\implies f_{22} = 8 + 3\times 21 \\\\\bf\implies f_{22} = 8 + 63 \\\\\bf\boxed{\bf\implies f_{22} = 71 }[/tex]

Answer:

this question is of high school or collage

Answer:

x = 4

Step-by-step explanation:

[tex] \sin \: 45 \degree = \frac{x}{4 \sqrt{2} } \\ \\ \frac{1}{ \sqrt{2} } = \frac{x}{4 \sqrt{2} } \\ \\ \sqrt{2} \: \: x = 4 \sqrt{2} \\ \\ x = \frac{4 \sqrt{2} }{ \sqrt{2} } \\ \\ x = 4[/tex]

Answer:

E 240

Step-by-step explanation:

Geometric Distribution mean = (1- p) / p

16 = (1 - p) / p

16p = 1 - p  ;  17p = 1 ; p = 1/17 = 0.058  

Standard Deviation = (1 - p) / p^2

= (1 - 0.058) / (0.058)^2

0.942 / 0.003364

= 280 , closest to 240

Answer:

-3/4

Step-by-step explanation:

-5/4 + 2/4 = -3/4

Hope this helps :)

Answer:

[tex]\displaystyle y=\frac{2\sqrt{3}}{15}x+\frac{\pi-2\sqrt{3}}{6}[/tex]

Step-by-step explanation:

We want to find the equation of the line tangent to the graph of:

[tex]\displaystyle y=\sin^{-1}\left(\frac{x}{5}\right)\text{ at } x=\frac{5}{2}[/tex]

So, we will find the derivative of our equation first. Applying the chain rule, we acquire that:

[tex]\displaystyle y^\prime=\frac{1}{\sqrt{1-\left(\dfrac{x}{5}\right)^2}}\cdot\frac{1}{5}[/tex]

Simplify:

[tex]\displaystyle y^\prime=\frac{1}{5\sqrt{1-\dfrac{x^2}{25}}}[/tex]

We can factor out the denominator within the square root:

[tex]\displaystyle y^\prime =\frac{1}{5\sqrt{\dfrac{1}{25}\big(25-x^2)}}[/tex]

Simplify:

[tex]\displaystyle y^\prime=\frac{1}{\sqrt{25-x^2}}[/tex]

So, we can find the slope of the tangent line at x = 5/2. By substitution:

[tex]\displaystyle y^\prime=\frac{1}{\sqrt{25-(5/2)^2}}[/tex]

Evaluate:

[tex]\displaystyle y^\prime=\frac{1}{\sqrt{75/4}}=\frac{1}{\dfrac{5\sqrt{3}}{2}}=\frac{2\sqrt{3}}{15}[/tex]

We will also need the point at x = 5/2. Using our original equation, we acquire that:

[tex]\displaystyle y=\sin^{-1}\left(\frac{1}{2}\right)=\frac{\pi}{6}[/tex]

So, the point is (5/2, π/6).

Finally, by using the point-slope form, we can write:

[tex]\displaystyle y-\frac{\pi}{6}=\frac{2\sqrt{3}}{15}\left(x-\frac{5}{2}\right)[/tex]

Distribute:

[tex]\displaystyle y-\frac{\pi}{6}=\frac{2\sqrt{3}}{15}x+\frac{-\sqrt{3}}{3}[/tex]

Isolate. Hence, our equation is:

[tex]\displaystyle y=\frac{2\sqrt{3}}{15}x+\frac{\pi-2\sqrt{3}}{6}[/tex]

Answer: b. 30%

Step-by-step explanation:

i.e. [tex]CV=\dfrac{\sigma}{\mu}[/tex]

Given: mean =  [tex]\mu=90[/tex]

Variance = [tex]\sigma^2 = 729[/tex]

[tex]\sigma=\sqrt{729}=27[/tex]

Now, [tex]CV=\dfrac{27}{90}=0.3[/tex]

in percent , [tex]CV= 0.3\times100\%= 30\%[/tex]

Hence, correct option is  b. 30%.

Based on the information given the coefficient of variation is b. 30%.

Using this formula

Coefficient of variation=√Variance/Mean

Let plug in the formula

Coefficient of variation=√729/90

Coefficient of variation=27/90

Coefficient of variation=0.3×100

Coefficient of variation=30%

Inconclusion the coefficient of variation is b. 30%.

Learn more about coefficient of variation here:https://brainly.com/question/12327871

Answer:

5.8

Step-by-step explanation:

If done on graph, just subtract x value of point A with x value of the line when its y value is -21.

If done algebraic, then plug in -21 into the y value for 5x+2y=4, then take the answer to x value (in our case 9.2) and subtract that from 15.

Answer:

Step-by-step explanation:

The answer is 62.

Here's an example.

52 - ( -10 ) = 62

So, the difference in temperature from Sunday to Tuesday is 62.

Just to let you know.

( -10 ) - 52 = -62 ( This is not the answer )

Remember that 62 is the answer.

Hope this helps! <3

Answer:

No its not a

Step-by-step explanation:

what is the answer because a is not right. I did the quiz and got it wrong

Answer:

it is answer b.  

Answer:

2/1

Step-by-step explanation:

Rise over run

Answer:

The answer to this is SAS

Answer:

9/10

Step-by-step explanation:

you can only add fractions when the denominator is the same, so u either have to multiply or divide a fraction. In this case, we'll multiply 4/5 with 10/10 so that the denominator will be the same as 5/50, and so that the value, 4/5(10/10), would still equal 4/5

4/5(10/10) + 5/50

40/50 + 5/50

45/50

simplify it

9/10

Answer: -7

Step-by-step explanation:

Answer:

2.) 0.10 (3.) 0.10 (4.) 2.43

Step-by-step explanation:

Given that:

x p(x)

0 0.12

1 0.18

2 0.30

3 0.15

4

5 0.10

6 0.05

X : __0__ 1 ___ 2 ___ 3 _____ 4 ____ 5 ____ 6

p(x):0.12_0.18_0.30_0.15__0.10___0.10 ___0.05

Σ of p(x) = 1

(0.12 + 0.18 + 0.30 + 0.15 + x + 0.10 + 0.05) = 1

0.9 + x = 1

x = 1 - 0.9

x = 0.1

2.)

P(x = 4) = 0.10

3.)

P(x = 5) = 0.10

4.)

Σ(x * p(x)) :

(0*0.12) + (1*0.18) + (2*0.3) + (3*0.15) + (4*0.1) + (5*0.1) + (6*0.05) = 2.43

Answer:

happy late new year!

Step-by-step explanation:

~evita