A community center has an L-shaped swimming pool that is 10 feet deep. What is the volume of the pool?

Answer: (6, -5)

Step-by-step explanation: I used the midpoint formula and this is what I got. I hope this helps!

The formula:

(xm, xy) = (x1 + x2/2, y1 + y2/2)

Answer:

[tex]x < - \frac{2 + y}{7} [/tex]

Step-by-step explanation:

[tex] - 7x > 2 + y \\ x < - \frac{2 + y}{7} [/tex]

Answer:

5(3u+2)(8u+3)

Step-by-step explanation:

lmk if you want an explanation

Answer:

5(3u+2)(8u+3)

Step-by-step explanation:

Well you first want to factor out any GCF which in this case is 5

5(24u² + 25u + 6)

so now a, b, c = 24, 25, 6.

ac = 144

factors of 144 that add up to 25 are 9 and 16

rewrite equation

(24u² + 9u) + (16u + 6)

factor out GCF

3u(8u+3) + 2(8u + 3)

(3u+2)(8u+3)

plug that back into entire equation

5(3u+2)(8u+3)

Answer:

all of the above

Step-by-step explanation:

please mark me as brainliest

Answer:

Integral: [tex]\int\limits^\pi _0 {3sinx} \, dx[/tex]

Area: 6

Step-by-step explanation:

[tex]\int\limits^\pi _0 {3sinx} \, dx = -3[cosx]_{0} ^{\pi} = 6[/tex]

The time taken by the rock will be 8.77 seconds.

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.

Given that:-

The equation for free fall at the surface of some planet (s in meters, t in seconds) is s = 2.86t²

The time will be calculated by using the speed formula.

Speed = Distance \ Time

25.1   = 2.86t² \ t

t   =  25.1 / 2.86

t   =  8.77 seconds

Therefore the time taken by the rock will be 8.77 seconds.

To know more about Speed follow

https://brainly.com/question/6504879

#SPJ1

A mean is an arithmetic average of a set of observations. The correct option is B.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

The average pay does not differ significantly since the average wage for subpopulations is not significant. As a result,  the subpopulations of mechanical and civil engineers are Not earning different salaries.

Hence, the correct option is B.

Learn more about Mean:

https://brainly.com/question/16967035

#SPJ1

Answer:

12 pounds of tea-1 and 8 pounds of tea-2 should be used.

Step-by-step explanation:

Answer:

When r=0.2, m=0.016g

When m=0.25, r=0.5cm

When r=0.7, m=0.686g

When m=11.664, r=1.8cm

Step-by-step explanation:

General outline of steps for proportionality problems:

There are two main types of proportionality, "direct" and "inverse", and then there are modifications that can be made to them.  Several examples are listed below:

Direct proportionality examples

Inverse proportionality examples

In each case, irregardless of which type, the two quantities are related with some extra letter "k", called the proportionality constant.  Either way, the proportionality constant "k" is always in the numerator, and the quantity is either multiplied to or divided from the proportionality constant "k".

Notice that for direct proportionality, in each case, the equation always ends up as "k times" the quantity.

On the other hand, notice that for inverse proportionality, in each case, the equation always ends up as "k divided by" the quantity.

The problem says "... the mass, m g, of a sphere is directly proportional to the cube of its radius, r cm...", so our equation will look like [tex]m=kr^3[/tex].

To find the proportionality constant for our situation, one must know a full input/output pair.  Notice that in the 4th column, [tex]r=1.5[/tex] and [tex]m=6.75[/tex].

Substituting these values into our equation, we can find "k".

[tex](6.75)=k(1.5)^3[/tex]

[tex]6.75=k*3.375[/tex]

[tex]\dfrac{6.75}{3.375}= \dfrac{k*3.375}{3.375}[/tex]

[tex]2=k[/tex]

So, the proportionality constant for this situation is 2, and our equation for this situation becomes: [tex]m=2r^3[/tex]

Now that we know the proportionality constant for this situation, if we have either the input OR the output, we can solve for the other unknown.

r=0.2

[tex]m=2r^3[/tex]

[tex]m=2(0.2)^3[/tex]

[tex]m=2(0.008)[/tex]

[tex]m=0.016[/tex]

Recall the the question said that the mass, m, was measured in grams, and the radius, r, was measured in centimeters.  So, if the radius is 0.2cm, then the mass of the sphere would be 0.016g.

m=0.25

[tex]m=2r^3[/tex]

[tex](0.25)=2r^3[/tex]

[tex]\dfrac{0.25}{2}=\dfrac{2r^3}{2}[/tex]

[tex]0.125=r^3[/tex]

[tex]\sqrt[3]{0.125} = \sqrt[3]{r^3}[/tex]

[tex]0.5=r[/tex]

So, if the mass of the sphere were 0.25g, the radius of the sphere would be 0.5cm.

r=0.7

[tex]m=2r^3[/tex]

[tex]m=2(0.7)^3[/tex]

[tex]m=2(0.343)[/tex]

[tex]m=0.686[/tex]

So, if the radius is 0.7cm, then the mass of the sphere would be 0.686g.

m=11.664

[tex]m=2r^3[/tex]

[tex](11.664)=2r^3[/tex]

[tex]\dfrac{11.664}{2}=\dfrac{2r^3}{2}[/tex]

[tex]5.832=r^3[/tex]

[tex]\sqrt[3]{5.832} = \sqrt[3]{r^3}[/tex]

[tex]1.8=r[/tex]

So, if the mass of the sphere were 11.664g, the radius of the sphere would be 1.8cm.

Answer:

w (number)  = 2/3

Step-by-step explanation:

Variable w means use the letter w as the unknown number :

This is the equation made from the question :

2+(9w) = 8

Let's subtract 2 from both sides :

9w = 6

Divide both sides by 9 :

w = 6/9

Simplify fraction :

w = 2/3

Hope this helped and have a good day

Answer: [tex]\sqrt{(-16)^{2} } =16[/tex]

Step-by-step explanation:

I looked it up on my calculator. I hope this helps!! :)

Answer:

25:16

50:32

100:64

Step-by-step explanation:

The amount of the cleaning solution is required to clean the hallway will be 315 ounces.

The complete question is given below.

A hallway measuring 90 feet by 7 feet requires 1/2 a fluid ounce of cleaning solution per square foot. How much cleaning solution is required to clean the hallway?

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L × W square units

A hallway measuring 90 feet by 7 feet requires 1/2 a fluid ounce of cleaning solution per square foot.

Then the amount of the cleaning solution is required to clean the hallway will be

Amount of cleaning solution = 1/2 × area of hallway

Amount of cleaning solution = 0.5 × (90 × 7)

Amount of cleaning solution = 315 ounces

More about the area of the rectangle link is given below.

https://brainly.com/question/20693059

#SPJ1

Using the normal distribution, it is found that the girl's score of 10 is higher than 99.62% of the population.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 6, \sigma = 1.5[/tex].

Her z-score is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{10 - 6}{1.5}[/tex]

Z = 2.67

Z = 2.67 has a p-value of 0.9962.

Hence her score is higher than 99.62% of the population.

More can be learned about the normal distribution at https://brainly.com/question/25800303

#SPJ1

She should spend 1 hour working on problems , 3 hour reading , Option B is the right answer.

The gain of the desired effect with respect to the previous gain is called margin gain

The marginal gain from 8:00 am to 9:00 am is

(40-0) = 40 problems

The marginal gain from 9:00 am to 10:00 am is

= 70-40 = 30 problems

The marginal gain from 10:00 am to 11:00 am is

(90-70) = 20 problems

As if she does more than one hour of problem solving her productivity decreases to 30 which is less than 1 hour of reading textbook

Therefore she should not spend more than 1 hour on problem solving.

Therefore Option B is the right answer.

1 hour working on problems , 3 hour reading

To know more about Margin gain

https://brainly.com/question/17464267

#SPJ1

The value of x will be 3

From given diagram, triangle ABC and EDC meet at a common vertex C.

So, triangle ABC and EDC both are congruent to each other.

Applying the similarity property of congruence, ratio of the congruent triangles' corresponding sides will be equal.

Therefore,

[tex]\frac{AB}{ED} = \frac{AC}{EC} = \frac{BC}{CD}[/tex]

[tex]\frac{AC}{EC} = \frac{BC}{CD}[/tex]

Simplifying the expression,

We get

(18-x)/x = 25/5

(18-x)/x = 5

18-x = 5x

18-x-5x = 0

18 - 6x = 0

- 6x = -18

x = 3

Hence, the value of x is 3.

Learn more about congruent triangle here:

https://brainly.com/question/2938476

#SPJ10

Answer:

$6074.36

Step-by-step explanation:

The formula for continuous compounding is

F = Pe^(rt)

F = $4500 × e^(0.1 × 3)

F = $6074.36

Answer: $6074.36

Answer:

w is the correct answer

Step-by-step explanation:

[tex]y \leqslant \frac{1}{3} x - 2[/tex]

If we choose the point (3, 0), we obtain

0 <= -1, which is not true. So we shade the region to the left of x = 4 (which is a dashed vertical line) and below

y = (1/3)x - 2 (which is a solid line).

Based on Jefferson's method and the value of d, the apportionment of the 57 seats will be:

This is done by dividing the population of the state by the d value and then rounding this off:

State A:

= 138,352 / 32,920

= 4.2

= 4

State B:

= 181,282 / 32,920

= 5.5

= 5

State C:

= 337,026 / 32,920

= 10.23

= 10

State D:

= 549,634 / 32,920

= 16.6

= 16

State E:

= 729,736 / 32,920

= 22.1

= 22

Find out more on Congressional seat apportionment at https://brainly.com/question/1961529.

#SPJ1

Answer:

r = 1

Step-by-step explanation:

we know that :

[tex]Slope=\frac{y_{B}-y_{A}}{x_{B}-x_A}[/tex]

Then

[tex]\frac{5}{4} =\frac{16-r}{-3-(-15)}[/tex]

Then

[tex]\frac{5}{4} =\frac{16-r}{12}[/tex]

Then

5×12 = 4×(16-r)

Then

60 = 64 - 4r

Then

4r = 64 - 60

Then

4r = 4

Then

r = 1

You'll first Cross multiply: 5× 3x

that'll give you 15x.

15x=12(12 is a numerical constant).

Divide both sides by the the coefficient of X .That is 15x/15= 12/15

Therefore the answer is 12/15= x

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathsf{5 = 1 \dfrac{2}{3}x}[/tex]

[tex]\mathsf{1 \dfrac{2}{3}x = 5}[/tex]

[tex]\mathsf{\dfrac{1\times3 + 2}{3}x= 5}[/tex]

[tex]\mathsf{\dfrac{3 + 2}{3}x = 5}[/tex]

[tex]\mathsf{\dfrac{5}{3}x = 5}[/tex]

[tex]\large\text{MULTIPLY }\rm{\dfrac{3}{5}}\large\text{ to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{3}{5}\times\dfrac{5}{3}x = \dfrac{3}{5}\times5}[/tex]

[tex]\large\text{SIMPLIFY IT!}[/tex]

[tex]\mathsf{x = \dfrac{3}{5}\times5}[/tex]

[tex]\mathsf{x = \dfrac{3}{5}\times\dfrac{5}{1}}[/tex]

[tex]\mathsf{x = \dfrac{3\times5}{5\times1}}[/tex]

[tex]\mathsf{x = \dfrac{15}{5}}[/tex]

[tex]\mathsf{x = \dfrac{15\div5}{5\div5}}[/tex]

[tex]\mathsf{x = \dfrac{3}{1}}[/tex]

[tex]\mathsf{x = 3\div1}[/tex]

[tex]\mathsf{x = 3}[/tex]

[tex]\huge\text{Therefore, your answer: \boxed{\mathsf{x = 3}}}\huge\checkmark[/tex]

Answer:

$0.90

Step-by-step explanation:

If each piece of chocolate is $1, then 8 pieces is $8. Wei Xun bought 8 pieces of chocolate and 10 lollipops, which came out to $17. The chocolate was $8 total, leaving $9 for the 10 lollipops. 9/10 = 0.9. So, each lollipop was $0.90, or 90 cents.

Answer:

A. B. C. D.

Step-by-step explanation:

because Which statement describes the end behavior of the function f(x)= |x-7| -7?

A. As x approaches negative infinity, f(x) approaches negative infinity.

B. As x approaches negative infinity, f(x) approaches positive infinity.

C. As x approaches positive infinity, f(x) is no longer continuous.

D. As x approaches positive infinity, f(x) approaches negative infinity.

Answer:

below

Step-by-step explanation:

Measure of each angle is 27 and 63 degrees.

Answer:

1 answer

The area of triangle with vertices A(0, 9), B(0, 4) and C( - 5, - 9) is

Considering the number of subsets of the set of options, it is found that there are 16 options for purchasing a house in this community.

The number of subsets is given by:

[tex]N_s = 2^n [/tex]

The set of options is given by:

O = { pool , alarm , lake view , balcony }

Which has cardinality n = 4.

The number of options for the purchased home is the number of subsets of set O, hence:

[tex]N_s = 2^4 = 16[/tex]

More can be learned about the number of subsets of a set at https://brainly.com/question/1462590

#SPJ1

Answer: Option (2)

Step-by-step explanation:

We need the angle to be included between the two mentioned sides.

Also, the sides need to be corresponding for the ratio, and both sides of the triangle need to be in either the numerators or the denominators.

Answer:

One solution

Step-by-step explanation:

The equation can be rewrite as 3x - 6 = 22 - x

so we try to get all the x on one side so we add x and 6 to both sides so we get 4x = 28 then we divide by 4 both side and get x=7

Answer:

1/3

Step-by-step explanation: