A pump empties the pool at the rate of 1,000 gal every 4 hours. how long does it take to pump out 20,000 gallons?​

Answer:

67.6

Step-by-step explanation:

Since 67.56 is 6 and above so, it is rounded to 6 so, it is 67.6.

Answer:

[tex]31.5\pi[/tex]

Step-by-step explanation:

Using the formula given, you can find that the surface area of the glass is:

[tex]2\pi r^2 h+ 2\pi r^2= \\\\2\cdot \pi \cdot 1.5^2 \cdot 6+2\cdot \pi \cdot 1.5^2=\\\\27\pi + 4.5\pi=\\\\31.5\pi[/tex]

Hope this helps!

please see the attached picture

Hope it helps

Good luck on your assignment,

MY KEY BROKE AND ITS NOT UNNY

Answer:

Expenditure x (in hundreds of dollars) = $2,000

Step-by-step explanation:

Given:

Profit p (in hundreds of dollars)

Expenditure x (in hundreds of dollars)

p(x) = -0.5x² + 20x + 23

Find:

Expenditure for advertising .

Computation:

x = -(Cofficient of x) / 2(Cofficient of x²)

x = -(20) / 2(-0.5)

x =  20

Expenditure x (in hundreds of dollars) = 20 × $100

Expenditure x (in hundreds of dollars) = $2,000

Answer:

There is no solution to the problem

Step-by-step explanation:

In order to find the solutions to the problem you can write the situation in an algebraic form.

You have that a number is equal to twice a smaller number plus 3. This can be written as follow:

[tex]x=2y+3[/tex]      (1)

where x is the number and y is the smaller number

Furthermore, the same number x is equal to twice the sum of the smaller number and 1, which can be written as follow:

[tex]x=2(y+1)[/tex]     (2)

To find the solution you equal the equation (1) with (2), and you solve for y:

[tex]2y+3=2y+1[/tex]

[tex]3=1[/tex]

You obtain an inconsistency, hence, the situation of the problem does not have solution

Answer:

The answer is 64.

Step-by-step explanation:

You only have to substitute the value of a, b and c into the expression :

[tex] {b}^{2} - 4(a)(c)[/tex]

Let a = 3,

Let b = 4,

Let c = -4,

[tex] {4}^{2} - 4(3)( - 4)[/tex]

[tex] = 16 - 4( - 12)[/tex]

[tex] = 16 + 48[/tex]

[tex] = 64[/tex]

Answer:

64

Step-by-step explanation:

Answer: side TQ 17 units

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

The right answer is √74 units.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

45 meters

Step-by-step explanation:

graph the equation and find the y-intercept

Answer:

500 liters

Step-by-step explanation:

We want to find the total amount of water that was drained.

He drained 62.5 liters of water per minute and this went on for 8 minutes. The total amount of water drained is:

62.5 * 8 = 500 liters of water

Answer:

(4,2)

Step-by-step explanation:

The solution to the system is where the two graphs overlap

The two graphs cross at x=4 y =2

(4,2)

Answer & Step-by-step explanation:

To find the solution of equations graphed on a line, the solution is going to be the point where the two lines meet or cross.

So, in the diagram, we can see that the equations do cross at a certain point. This point is (4,2).

So, the solution of the equations graphed is (4,2)

Answer:

R = {-9, -5, -1, 3}

Step-by-step explanation:

To find the range, plug in each value of the domain into the given equation for x.

g(-2) = 2 (-2) - 5 = -9

g(0) = 2 (0) - 5 = -5

g(2) = 2 (2) - 5 = -1

g(4) = 2 (4) -5 = 3

Answer:

R = {-9, -5, -1, 3}

Step-by-step explanation:

We can determine the range of the function g by inputting each given domain value into the function itself.

g(x) = 2x - 5 and D = {-2, 0, 2, 4}

g(-2) = 2(-2) - 5 = -4 - 5 = -9

g(0) = 2(0) - 5 = 0 - 5 = -5

g(2) = 2(2) - 5 = 4 - 5 = -1

g(4) = 2(4) - 5 = 8 - 5 = 3

Therefore, R = {-9, -5, -1, 3}.

I hope this helps!

Answer:

There are 14 4-point questions and 26 2-point questions.

Step-by-step explanation:

m  = number of 4-point questions

n = number of  2-point questions

m+n =40

4m + 2n =108

You can solve system by elimination:

Multiply the 1st equation by -4 and keep the 2nd equation the same.

−4(m+n=40) → -4m -4n= -160

                       4m+2n=108 add them up

-2n = -52 divide both sides by -2

n = 26

plug it back in to solve for m

m + n = 40 →m + 26 =40 subtract 26 to both sides

m = 14

Answer:

m=14, n=26

Step-by-step explanation:

Answer:

n =3

Step-by-step explanation:

20 minutes to 1 hour can also be written as 20 minutes to 60 minutes.

when simplified, you get 1:3

Answer:

1:30

Step-by-step explanation:

minutes : hour
20           : 1
convert the hour into minutes
1 hr = 60 minds

20            : 60
it was simplified so that 20 = 1
so they did 20 divided by 20 to get it to equal to 1
1                 : _____
u need to equalise it and do the same to the other side so 60 divided by 20 as well ( this equals 30)
now the ratio is:
1                 : 30

Answer:

Try using estimation.

Make sure you don't start with the y-axis first.

I don't think they really want an exact answer though. You could try using a ruler if there's one on your phone but I still think estimation is okay.

Step-by-step explanation:

Look how close the point is to 1 on the x-axis and how close it is to 2 on the x-axis then chose what you think fits.

Answer:

[tex]50.27[/tex] [tex]cm[/tex]

Step-by-step explanation:

[tex]\pi r^2h \times 1/3[/tex]

[tex]\pi \times 2^2 \times 12 \times 1/3[/tex]

[tex]\pi \times 4 \times 12 \times 1/3[/tex]

[tex]16\pi[/tex]

[tex]\approx 50.265482[/tex]

Answer:

16π cm^3  or 50.27 cm^3 to the nearest hundredth.

Step-by-step explanation:

V = 1/3 π r^2 h

= 1/3 π 2^2 12

= 16π cm^3.

Answer:  [tex]\bold{5)\ \cos \theta=\dfrac{\sqrt{11}}{6}\qquad 6)\ \tan \theta =\dfrac{8}{17}\qquad 7)\ \cos \theta = \dfrac{4}{3}\qquad 8)\ \cos \theta = \dfrac{\sqrt{10}}{10}}[/tex]

Step-by-Step Explanation:

Pythagorean Theorem is: a² + b² = c²  , where "c" is the hypotenuse

[tex]5)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{3\sqrt{11}}{18}\quad \rightarrow \large\boxed{\dfrac{\sqrt{11}}{6}}[/tex]

Note: (15)² + (3√11)² = hypotenuse²   →   hypotenuse = 18

[tex]6)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{8}{17}\quad =\large\boxed{\dfrac{8}{17}}[/tex]

Note: 8² + 15² = hypotenuse²   →   hypotenuse = 17

[tex]7)\ \tan \theta=\dfrac{\text{side opposite to}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{20}{15}\quad \rightarrow \large\boxed{\dfrac{4}{3}}[/tex]

Note: hypotenuse not needed for tan

[tex]8)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{2}{2\sqrt{10}}\quad =\large\boxed{\dfrac{\sqrt{10}}{10}}[/tex]

Note: 2² + 6² = hypotenuse²   →   hypotenuse = 2√10

5) cosθ = [tex]\frac{\sqrt{11} }{6}[/tex] , 6) cosθ = [tex]\frac{8}{17}[/tex] , 7) tanθ = [tex]\frac{4}{3}[/tex] , 8) cosθ = [tex]\frac{1}{\sqrt{10} }[/tex]

If, a be the perpendicular, b be the base & c be the hypotenuse of a right angle triangle.

Then, [tex]c=\sqrt{a^{2}+ b^{2} }[/tex]

cosθ = (Side adjacent to θ)/(Hypotenuse)

sinθ = (Side opposite to θ)/(Hypotenuse)

tanθ = (Side opposite to θ)/(Side adjacent to θ)

5) Hypotenuse = [tex]\sqrt{(3\sqrt{11}) ^{2} +15^{2} }[/tex]

                            = [tex]\sqrt{99+225}[/tex]

                            = [tex]\sqrt{324}[/tex] = 18

∴ cosθ = (Side adjacent to θ)/(Hypotenuse)

           = [tex]\frac{3\sqrt{11} }{18}[/tex] =[tex]\frac{\sqrt{11} }{6}[/tex]

6) Hypotenuse = [tex]\sqrt{8^{2} +15^{2} }[/tex]

                             = [tex]\sqrt{64+225}[/tex]

                             = [tex]\sqrt{289}[/tex] = 17

∴ cosθ = (Side adjacent to θ)/(Hypotenuse)

           = [tex]\frac{8}{17}[/tex]

7) tanθ = (Side opposite to θ)/(Side adjacent to θ)

               = [tex]\frac{20}{15}[/tex] = [tex]\frac{4}{3}[/tex]

8) Hypotenuse = [tex]\sqrt{2^{2} +6^{2} }[/tex]

                              = [tex]\sqrt{4+36}[/tex]

                              = [tex]\sqrt{40}[/tex] = [tex]2\sqrt{10}[/tex]

∴ cosθ = (Side adjacent to θ)/(Hypotenuse)

            = [tex]\frac{2}{2\sqrt{10} }[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]

Learn more about trigonometric functions here :

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Answer:

A

Step-by-step explanation:

x+y=7

x-y=3

Firstly get x on its own.

You do this by adding the equations together. -y + y=0 (ethey cancel out but x+x=2x and 7+3=10

from this it shows us 2x=10

Now het x on its own by dividing by 2

this leaves us with x=5

Now input this into any of the two equations and you will get y.

For example,

5+y=7

7-5=y

y=2

input this into the equations (x,y)

which leaves us with...

(5,2)

Answer:

It will take 4 seconds. She will have to run 32 meters

Step-by-step explanation:

The formula to calculate the distance in terms of speed and time is:

distance = speed x time

Let x represent the distance Bridget run. Since Tylor starts 4 meters ahead, the distance for the Tylor is x-4. The time is same for both of them, let us represent it with t.

The distance by Bridget: x = 8t → t = x/8

The distance by Tylor: x - 4 = 7t → t = (x-4)/7

→ x/8 = (x-4)/7

→ 7x = 8(x-4)

→ 7x = 8x - 32

→ x = 32

Since x = 32 and t = x/8

→ t = 32/8 = 4

Answer:

m=-2

Step-by-step explanation:

8-(m-3)=7-3m

8-1(m)-1(-3)=7-3m

8-m+3=7-3m

-m+3m+8+3=7-3m+3m

2m+8+3=7

2m+11=7

2m=-4

m=-2

Hope this helps!

Step-by-step explanation:

So, this is how you do it.

Answer:

B

Step-by-step explanation:

The figure shown is of an isosceles triangle.The triangle is not congruent with any of the faces of the pyramid thus the triangle does not have the same dimension as one of the sides of the pyramid

Answer: B

Step-by-step explanation:

Answer:

7 + 2 + 5 = 143547

Step-by-step explanation:

This question needs to identify the pattern

the pattern

is

5 + 3 + 2 = 151022

First two digits: 5*3 = 15   multiple of first and second term

third and fourth digit: 5*2 = 10 multiple of first and third term

last two digit = First two digits + third and fourth digit - second term

                    = 15+10 - 3 = 22

similarly

9 + 2 + 4 = 183652

9*2 = 18

9*4 = 36

18+36 - 2 = 52

____________________________________

5 + 4 + 5 = 202541

5*4 = 20

5*5 = 25

20+25-4 = 41

_______________________

7 + 2 + 5 = ??????​

7*2 = 14

7*5 = 35

14+35-2 = 49-2 = 47

thus, 7 + 2 + 5 = 143547

Answer:

0

Step-by-step explanation:

got it right on plato

Answer:

0

Step-by-step explanation:

hopes this helps may yall like and give me 5 stars

Answer:

1. 200 cm

2. 2463.01 cm

3. 1275 cm

4. 346.67 cm

5. 1526.81 cm

Step-by-step explanation:

volume for square is l times w times h

volume for cylinder is pi times r times 2 times h

volume for square pyramid is a2h/3

volume for rectangular pyramid is l times w times h divided by 3

Answer:

B

Step-by-step explanation:

Descending order means that the exponents are in decreasing order and the polynomial ends with the constants. Therefore the answer is B.

Answer:

B.

Step-by-step explanation:

Arranged from largest to smallest

Answer:

a) 25

5² = 5×5 = 25

b) 27

3³ = 3×3×3 = 27

(a) The square number is 25.

(b) The cube number is 27.

The following information should be considered:

So based on the given options, we can conclude that

(a) The square number is 25.

(b) The cube number is 27.

Learn more: brainly.com/question/17429689

Answer:

(x+9)(x+3)

x*x = x^2

x*3 = 3x

9*x = 9x

9*3 = 27

Answer = x^2 + 12x + 27

Hope this helps

Answer:

x^2+12x+27

Step-by-step explanation:

have a nice day:)

Answer:

10.67%  per quarter

42.68%  per year

Step-by-step explanation:

The value of r that would be ensure the initial amount gives 1.5 times future value in in one year can be computed using rate  formula  in excel as below:

=rate(nper,pmt,-pv,fv)

nper is 1 year multiplied 4 quarters=4

pmt is the amount invested  periodically and it is zero

Assume that $1000 was invested

FV which is the future value=1.5*$1000=$1,500

PV=$1000

=rate(4,0,-1000,1500)

rate=10.67%

rate per year=10.67% *4

Answer:

170$

Step-by-step explanation:

I think the answer is A. conductor

Answer:

Step-by-step explanation:

Its insulation because the clothing traps in your body heat.