The Adventure Zone amusement park asked all of their employees who attend college how many hours of
homework they had per week and determined that they had an average of 24 hours of homework per
week.
Based on this data, which of the following conclusions are valid?
Choose 1 answer:
24% of all of the amusement park employees who attend school have homework each week.
24% of all of the amusement park employees who attend college have homework each week.
The amusement park employees who attend college have an average of 24 hours of
homework per week, but we cannot conclude anything about the percent of the population
who have homework.

Answer:

Let y = the amount in Adrianna's savings account

Let x = the number of weeks passed

y = 5x + 20

Step-by-step explanation:

1/6 (3 - 2x) < 1/3 x

let's multiply everything by 6

3 - 2x < 6/3 x

3 - 2x < 2x

3 < 4x

3/4 < x

so, x > 3/4

since 3/4 is never equal to x but is purely smaller than x, the interval of valid x values starts right after 3/4 and goes to infinity.

x = 3/4 is not valid, because 3/4 is not smaller than 3/4 (it is equal to) ...

With ϕ ≈ 1.61803 the golden ratio, we have 1/ϕ = ϕ - 1, so that

[tex]I = \displaystyle \int_0^\infty \frac{\sqrt[\phi]{x} \tan^{-1}(x)}{(1+x^\phi)^2} \, dx = \int_0^\infty \frac{x^{\phi-1} \tan^{-1}(x)}{x (1+x^\phi)^2} \, dx[/tex]

Replace [tex]x \to x^{\frac1\phi} = x^{\phi-1}[/tex] :

[tex]I = \displaystyle \frac1\phi \int_0^\infty \frac{\tan^{-1}(x^{\phi-1})}{(1+x)^2} \, dx[/tex]

Split the integral at x = 1. For the integral over [1, ∞), substitute [tex]x \to \frac1x[/tex] :

[tex]\displaystyle \int_1^\infty \frac{\tan^{-1}(x^{\phi-1})}{(1+x)^2} \, dx = \int_0^1 \frac{\tan^{-1}(x^{1-\phi})}{\left(1+\frac1x\right)^2} \frac{dx}{x^2} = \int_0^1 \frac{\pi2 - \tan^{-1}(x^{\phi-1})}{(1+x)^2} \, dx[/tex]

The integrals involving tan⁻¹ disappear, and we're left with

[tex]I = \displaystyle \frac\pi{2\phi} \int_0^1 \frac{dx}{(1+x)^2} = \boxed{\frac\pi{4\phi}}[/tex]

Answer:

15cm²

Step-by-step explanation:

Area of a triangle: 1/2*b*h

a = height (6cm)

b = base (5cm)

A = 1/2* b * h

A = 1/2 * 5 * 6

A = 1/2 * 30

A = 15cm² <== final answer

Hope this helps!

Answer:

3(C + 5) = 7

Step-by-step explanation:

Let C = unknown number

The sum of a number and 5:

C + 5

Three times the sum of a number and 5:

3(C + 5)

Three times the sum of a number and 5 is 7:

3(C + 5) = 7

To solve

Use the distributive law:  a(b + c) = ab + ac

⇒ 3C + 15 = 7

Subtract 15 from both sides:

⇒ 3C = -8

Divide both sides by 3:

⇒ C = -8/3

So

The expression is

On solving

Answer:

(-16, -4)

Step-by-step explanation:

4x - 13y = -12

x = 2y - 8

Substitute for x:

4(2y - 8) - 13y = -12

8y - 32 - 13y = -12

-5y - 32 = -12

-5y = 20

y = -4

Solve for x:

4x - 13(-4) = -12

4x + 52 = -12

4x = -64

x = -16

Solution to this system: (-16, -4)

I hope this helps!

Answer:

there are two methods

1. graphical method

2. elimination method

3. substitution method

Answer:

18 freshmen, 18 sophomores, 30 juniors, 30 seniors

Step-by-step explanation:

Given ratio

  freshman : sophomores : juniors : seniors

= 320 : 300 : 500 : 510

320 ≈ 300  and  500 ≈ 510

Therefore, 300 : 300 : 500 : 500

Ratio of 300 : 500 = 18 : 30

So  18 : 18 : 30 : 30 best represents the population

Given nos

Ratio:-

Round out

Option A

The notation just means

(f/g)(-4) = f(-4) / g(-4)

If f(x) = x² + 2 and g(x) = 1 - 3x, then

f(-4) = (-4)² + 2 = 16 + 2 = 18

g(-4) = 1 - 3 (-4) = 1 + 12 = 13

and so

(f/g)(-4) = 18/13

Answer:

Step-by-step explanation:

YES IS THE ANSWER BECAUSE X=9

AND 11+3=87

Answer:

There are two boys and a girl on a trivia team. Two questions remain. One team member is randomly picked to answer the first question and a different member is picked to answer the second question.

Step-by-step explanation:

Answer:

it’s 3 x 2x 5 = 30

Then use that product and times it by 10. ( 10 x 30 )

Ans = 300 cubic centimeters

Step-by-step explanation:

3 x 5 x 2 = 30

30 x 10 = 300

Ans = 300 cubic centimeters

Answer:

Linear

Step-by-step explanation:

It is a first-degree function, the variable "x" has power 1

when graphed, a straight line results in

Hope this helps

Answer:

The process of photosynthesis is commonly written as: 6CO2 + 6H2O → C6H12O6 + 6O2.

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

According to the given percentages, it is found that there is a 67% probability that a randomly selected man between the age of 25 and 34 does not search for green technology.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

We have that 33% of men search for green technology, hence, there is a 100 - 33 = 67% probability that a randomly selected man between the age of 25 and 34 does not search for green technology.

More can be learned about probabilities at https://brainly.com/question/14398287

To find the exact answer based on the last step, "[tex]2(3)^3+5[/tex]", you must use PEMDAS (attached image below)

          [tex]2(3)^3+5=2*27+5=54+5=59[/tex]

Thus the answer is 59.

Hope that helps!

Answer:

2b³ + 5 = 59

Step-by-step explanation:

Given information,

→ 2b³ + 5

→ b = 3

Let's solve the expression,

→ 2b³ + 5

→ 2(3)³ + 5

→ 2(27) + 5

→ 54 + 5 = 59

Hence, the answer is 59.

Answer:

95 degrees

Step-by-step explanation:

The sum of the measures of a quadrilateral is 360 degrees.  360-105-80-80 = 95 degrees

Answer:

$69.50

Step-by-step explanation:

As it was marked down 20%, this means the sale price would be 100-20=80%.  

When                   80%  ---- cost $55.60      

Therefore when 100% ---- cost = $55.60 * 100/80

So when we solve this, we get the final ans $69.50                                  

Answer:

Prescription sunglasses

Medical equipment

Prescription medications

Sunscreen

Step-by-step explanation:

Trust me I just did this assignment

The population model is an exponential decay because it decreases

The exponential model of the population is P = 3000(0.64^1/7)^t

The population decreases by 0.36 every 7 years.

This means that the function is an exponential decay.

An exponential decay function is represented as:

P = a((1 - r)^1/n)^t

Where:

So, we have:

P = 3000((1 - 0.36)^1/7)^t

Evaluate the difference

P = 3000(0.64^1/7)^t

Hence, the exponential model of the population is P = 3000(0.64^1/7)^t

Read more about exponential functions at:

https://brainly.com/question/11464095

Answer:

$636.17

Step-by-step explanation:

       First, we need to find the volume of the ball. Then, we will solve for the cost of it.

       Volume of a sphere and solving for the area:

V = [tex]\frac{4}{3}[/tex]πr³

V = [tex]\frac{4}{3}[/tex]π(7.5)³

V ≈ 1767.15 in³

       Now that we have the volume, next we need to find the cost. Since the lead costs $0.36 per in³, and our volume is in in³, we can multiply the volume by the cost.

1767.15 in³ * $0.36 = 636.174

       Money rounds to the hundredth place,

636.174 -> $636.17

          It will cost $636.17 to make one ball.

Answer:

Volume of a sphere = 4/3 Pi r³

if r = 7.5

= 4/3 pi 7.5³

= 4/3 pi 421.87

= 1687.5/3 pi

= 562.5 Pi

= 1767.15 in³

then

1767.15 x 0.36 = 636.17

if 1 in³ costs 0.36$

then 1767.15 in³ costs 636.17$

Answer:

Option B

Step-by-step explanation:

Numerator:

[tex]\dfrac{3}{x -1 }-4 =\dfrac{3}{x-1}-\dfrac{4*(x-1)}{x-1}\\\\[/tex]

                 [tex]=\dfrac{3- 4x -4*(-1)}{x-1}=\dfrac{3-4x+4}{x-1}\\\\\\=\dfrac{-4x+7}{x-1} \: \textbf{ [Combine like terms]}[/tex]

Denominator:

[tex]2-\dfrac{2}{x-1}=\dfrac{2*(x-1)}{x-1}-\dfrac{2}{x-1}\\[/tex]

                [tex]= \bf \dfrac{2x-2-2}{x-1}\\\\\\= \dfrac{2x-4}{x-1}\\\\= \dfrac{2*(x- 2)}{x-1}[/tex]

[tex]\dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}=\dfrac{\dfrac{-4x+7}{x-1}}{\dfrac{2*(x-2)}{x-1}}[/tex]

                 [tex]\bf = \dfrac{-4x+7}{x-1}*\dfrac{x-1}{2(x-2)} \ \ \ \textbf{ [(x-1) in the numerator and denominator will be cancelled]}\\\\\\=\dfrac{-4x+7}{2(x-2)}[/tex]

Answer:

please try do the rest by yourself..Of you didn't get the answer you can ask me through comment..

Answer:

940

Step-by-step explanation:

To find the original price of something that been discount do the following:

Or we can do the following:

We shall consider the original price as x; hence the discount can be considered as (x−263.20). We can write the equation:

x · 72/100=x - 263.20

x · 18/25 = x - 263.20

Multiply both sides by 25

18x = 25(x - 263.20)

Open the brackets.

18x = 25x-6580

Add 6580 to each side.

6580 +18x = 25x

Subtract 18x from each side.

6580 = 7x

Subtract 7x from each side.

x = 940

Check Answer:

940 * 72% = 676.80

940 - 676.80=263.20

Hence, the regular price is 940.

~lenvy~

Step-by-step explanation:

The sale price ( The marked price ) :- $263.20

Discount :- 72%

Discount :- marked 100 ,Discount 72 ,Seliing ( Regular ) 28

Regular price :- 263.20 × 28 / 100

$ 73.69

Answer:

10

Step-by-step explanation:

distance = √(-6-2)^2+(-2-4)^2

Ans=10

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[tex] \rule{60mm}{2.2pt}[/tex]

[tex] \large \purple{ \rm{Given ↦}} \\ [/tex]

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[tex] \rule{60mm}{2.2pt}[/tex]

Substituting values ↦

[tex] \bold {AB= \sqrt{( - 6 - 2 )^{2} + ( - 2 - 4) ^{2}} } \\ \\ \bold {AB= \sqrt{( - 8) ^{2} + ( - 6) ^{2} }} \\ \\ \bold {AB= \sqrt {(64) + (36)} } \\ \\ \bold {AB= \sqrt{(100)}} \\ \\ \bold {AB= 10 \: units.}[/tex]

[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Answer: its A or B I think its more of B than A