A pond at a hotel holds 4,290 gallons of water. The groundskeeper drains the pond at a rate of 78 gallons of water per hour. How long will it take to drain the pool? Idk why it says I'm in college.

The measure of DE is 10 from the given figure

Since the given trapezoid is an isosceles trapezoid, this shows that two of the sides will be equal. According to the given diagram, we can say that:

Given the following parameters

DG = 2x + 5

EF = 3x + 2

2x + 5 = 3x + 2

Collect the like terms

2x - 3x = 2 - 5

-x = -3

x = 3

Get the measure of DE

DE = 4x - 2

DE = 4(3) - 2

DE = 12 - 2

DE = 10

Hence the measure of DE is 10 from the given figure

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Answer:

[tex]y = \frac{3}{4}x - 3[/tex]

Step-by-step explanation:

In slope intercept form y = mx + b

We have the y intercept already so our equation becomes y = mx -3. Now we need to figure out the slope, we do this by subtracting the y values from both points and the x values from both points:

-3 - 0 = -3

0 - 4 = -4

Slope = -3/-4 the negatives cancel and now we have 3/4 as the slope.

Now the equation is y = 3/4x -3

[tex] y \: = \: \frac{3}{4} x \: - 3[/tex]

Double checking by inputting values such as x = 0 we now get (0, -3) which is correct and if the x-intercept is 4 then it should give us a y value of 0 which = (4,0). Yep! This is the correct linear equation for the line described

Answer:

Step-by-step explanation:

30/34 is .8823 or .88 of a cookie

in 3 hours, she can make 2.647 or 2.7 of a cookie

The required number of cookies made in 3 hours is 2.64.

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

The number of cookies made in 34 hour is 30.

Now, in order to calculate the number of cookies made in 3 hours unitary method can be used as follows,

In 34 hour the number of cookies = 30

In 1 hour the number of cookies = 30/34

Thus, in 3 hour the number of cookies = 30/34 × 3 = 2.64.

Hence, the number of cookies made with the given rate in 3 hours is 2.64.

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Answer:

a. 4.35 x 10-⁴

= 0.000435

b. 4.16 x 10¹

= 41.6

c. 9.2 x 10-³

= 0.0092

d. 1.1 x 10-⁵

= 0.000011

e. 6.5 x 10⁵

= 650000

Step-by-step explanation:

Very simple and quick

Answer:

768.21 ML

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

if f(x)=3x^2+2x g(x)=‒x^2+4x

f+g=(3x^2+2x)+(‒x^2+4x)

=3x^2‒x^2+4x+2x

=2x^2+6x

f‒g=(3x^2+2x)‒(‒x^2+4x)

=3x^2+2x+x^2‒4x

=3x^2+x^2+2x‒4x

=4x^2‒2x

i hope my answer will be clear to you

Answer:

what's the rest of the problem?

Option C is correct, 15a⁵b¹⁵ is the product of expression (3a²b⁷)(5a³b⁸)

We have to find the product of (3a²b⁷)(5a³b⁸)

a and b are the variables in the expression.

We have to find the product.

Let us first multiply the constant terms which are 3 and 5 we get 15

15 (a²b⁷)(a³b⁸)

We know that in a product if the bases are same then the powers will be added

15a⁵b¹⁵

Hence, option C is correct, 15a⁵b¹⁵ is the product of expression (3a²b⁷)(5a³b⁸)

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Answer:

0

Step-by-step explanation:

Answer: 51

Step-by-step explanation:

Step 1: Replace x in y = 7x + 2 where x = 7.

y = 7(7) + 2.

Step 2: Solve the equation.

y = 49 + 2

y = 51

Answer:

It would be dialating by a scale factor of 5 you can tell because you are multipllying (x,y) by 5

Answer:

3434

Step-by-step explanation:

The conclusion that should be made on the question using a significance level of α=0.05 is; Option A; Fail to reject H₀

We are given the hypotheses;

Null Hypothesis; H₀; p = 0.25

Alternative hypothesis; Hₐ; p > 0.25

p^ = 0.3

p-value = 0.068

Now, we are told that the significance level is α = 0.05

      Now, the law in hypotheses testing is that when the p-value is less tan or equal to the significance level, we will reject the null hypothesis but when the p-value is greater than the significance value, we fail to reject the null hypothesis(H₀)

Now, in our question the p-value of 0.068 is greater than the significance level of 0.05 and thus we will fail to reject the null hypothesis.

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Answer:

you need to put numbers

Answer:

that is a decimal

Step-by-step explanation:

Answer:

-32

Step-by-step explanation:

Answer:

A

Step-by-step explanation: They can't be greater so automatically it's less than 7 or equal too

Work Shown:

1 gallon = 4 quarts .... think 4 quarters in a dollar

4*(1 gallon) = 4*(4 quarts) ... multiply both sides by 4

4 gallons = 16 quarts

Answer: b

Step-by-step explanation: i took the quiz

Answer:

Numbers that can be expressed as a ratio of two number (p/q form) are termed as a rational number. Numbers that cannot be expressed as a ratio of two numbers are termed as an irrational number.

Step-by-step explanation:

Answer:

10-4x

Step-by-step explanation:

4×2-4x+2

8-4x+2 =10-4x

Answer:

b = 5/4 miles

Step-by-step explanation:

Length of a rectangular playground, l = 1/2 miles

Area of the playground, A = 5/8 square miles

We need to find the width of the playground. We know that, the area of a rectangular shape is given by :

A = l×b, here b is the width of the playground.

[tex]b=\dfrac{A}{l}\\\\b=\dfrac{\dfrac{5}{8}}{\dfrac{1}{2}}\\\\b=\dfrac{5}{4}\ \text{miles}[/tex]

So, the width of the playground is 5/4 miles.

answer

Step-by-step explanation:

I think that A is 3:4

The question is incomplete. Here is the complete question.

The probability density function of the time to failure of an electronic component in a copier (in hours) is

                                              [tex]f(x)=\frac{e^{\frac{-x}{1000} }}{1000}[/tex]

for x > 0. Determine the probability that

a. A component lasts more than 3000 hours before failure.

b. A componenet fails in the interval from 1000 to 2000 hours.

c. A component fails before 1000 hours.

d. Determine the number of hours at which 10% of all components have failed.

Answer: a. P(x>3000) = 0.5

              b. P(1000<x<2000) = 0.2325

              c. P(x<1000) = 0.6321

              d. 105.4 hours

Step-by-step explanation: Probability Density Function is a function defining the probability of an outcome for a discrete random variable and is mathematically defined as the derivative of the distribution function.

So, probability function is given by:

P(a<x<b) = [tex]\int\limits^b_a {P(x)} \, dx[/tex]

Then, for the electronic component, probability will be:

P(a<x<b) = [tex]\int\limits^b_a {\frac{e^{\frac{-x}{1000} }}{1000} } \, dx[/tex]

P(a<x<b) = [tex]\frac{1000}{1000}.e^{\frac{-x}{1000} }[/tex]

P(a<x<b) = [tex]e^{\frac{-b}{1000} }-e^\frac{-a}{1000}[/tex]

a. For a component to last more than 3000 hours:

P(3000<x<∞) = [tex]e^{\frac{-3000}{1000} }-e^\frac{-a}{1000}[/tex]

Exponential equation to the infinity tends to zero, so:

P(3000<x<∞) = [tex]e^{-3}[/tex]

P(3000<x<∞) = 0.05

There is a probability of 5% of a component to last more than 3000 hours.

b. Probability between 1000 and 2000 hours:

P(1000<x<2000) = [tex]e^{\frac{-2000}{1000} }-e^\frac{-1000}{1000}[/tex]

P(1000<x<2000) = [tex]e^{-2}-e^{-1}[/tex]

P(1000<x<2000) = 0.2325

There is a probability of 23.25% of failure in that interval.

c. Probability of failing between 0 and 1000 hours:

P(0<x<1000) = [tex]e^{\frac{-1000}{1000} }-e^\frac{-0}{1000}[/tex]

P(0<x<1000) = [tex]e^{-1}-1[/tex]

P(0<x<1000) = 0.6321

There is a probability of 63.21% of failing before 1000 hours.

d. P(x) = [tex]e^{\frac{-b}{1000} }-e^\frac{-a}{1000}[/tex]

0.1 = [tex]1-e^\frac{-x}{1000}[/tex]

[tex]-e^{\frac{-x}{1000} }=-0.9[/tex]

[tex]{\frac{-x}{1000} }=ln0.9[/tex]

-x = -1000.ln(0.9)

x = 105.4

10% of the components will have failed at 105.4 hours.

Answer:

True

16 < 22 + 8

16 < 30

Step-by-step explanation:

add 8

Answer:

-3x+6

Step-by-step explanation:

Again, you multiply -3 times x and you get -3x, then you multiply -3 times -6 and since you are multiplying two negative numbers the result becomes positive so you get +6. Result = -3x+6

Answer:

juan is 13

robert is 8

y=2x-3

Step-by-step explanation:

The equation might be wrong.

Good luck!

Answer:

Non linear function

Step-by-step explanation:

Its not straight no not linear and relations are not that at all

Answer:

9.9 or 9 9/10

Step-by-step explanation:

9x11=99

99/10 = 9.9 or 9 9/10

Answer:

let's see what to do buddy....

Step-by-step explanation:

The mean of the 10 values denoted x equals 7.4

So we have :

[tex] \frac{x(1) + x(2) + x(3) + ... + x(10)}{10} = 7.4 \\ [/tex]

Multiply the sides of the equation by 10 :

[tex]10 \times \frac{x(1) + x(2) + x(3) + ... + x(10)}{10} = 7.4 \times 10 \\ [/tex]

After do that we have :

[tex]x(1) + x(2) + x(3) + ... + x(10) = 74 \\ [/tex]

Which means we have the sum of all values.

And we're done...

Thanks for watching.

Hope to be useful ♥️♥️♥️♥️♥️.

Answer:

9:36:45

Step-by-step explanation:

You add up 1+4+5=10

divide 90 by 10 = 9

multiply each part of the ratio by 9

1*9:4*9:5*9

Therefor you get the answer: 9:36:45

Hope this helps

The division of the number 90 in the ratio 1:4:5 will be 9:36:45.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the number 90 is divided in the ratio 1:4:5. The division will be done as below,

x + 4x + 5x = 90

10x = 90

x = 90 / 10

x = 9

The ratio will be,

1:4:5 = 9 : ( 9 x 4 ) : ( 9 x 5 )

1:4:5 = 9: 36: 45

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