The daily water consumption for an Ohio community is normally distributed with a mean consumption of 751,163 gallons and a standard deviation of 84,224 gallons. The community water system will experience a noticeable drop in water pressure when the daily water consumption exceeds 984,355 gallons. What is the probability of experiencing such a drop in water pressure

Answer:

[tex]f(x) = 3 {x}^{2} + 5x - 8[/tex]

[tex]f(x + h) = 3 ({x + h})^{2} + 5(x + h) \\ = {3x}^{2} + {3h}^{2} + 6xh + 5x + 5h - 8 \\ [/tex]

answer will be 6x+5

⏩Option (D.)

Answer:Answer:

2155.1 m^3

Step-by-step explanation:

area= pi* r ^2 * h =pi * 7^2 *14 = 2155.1 m^3

Answer:

A

Step-by-step explanation:

b must always be greater than 0 since 12b-15 must always be greater than 21. You can simplify the ineqaulity to see things easier; 12b>36. Again, this ineqaulity can be simplified; b>3. A is the closest answer here, but there should be an open interval at 3 for A to be correct.

Answer:

K12 Answer

Step-by-step explanation:

The solution of the linear equation 2.25 + n / 2 = −4 will be −12.5.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The sum of 2.25 and half a number is −4.

Let 'n' be the number. Then the equation is given as,

2.25 + n / 2 = −4

Simplify the equation, then we have

2.25 + n / 2 = −4

n / 2 = − 4 − 2.25

n / 2 = −6.25

n = −12.5

The solution of the linear equation 2.25 + n / 2 = −4 will be −12.5.

More about the solution of the equation link is given below.

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Answer:

x=36

Step-by-step explanation:

These angles added together equal 180 degrees

2x + 3x =180

5x = 180

x = 36

Answer:

x  = 36    

Step-by-step explanation:

2x and 3x are supplementary angles they both add up to 180 degree Therefore 2x + 3x = 180   5x = 180   180/5 = x      x  = 36    

Answer: A

Step-by-step explanation: Hope this helps :)

Answer:

y =6x + 8

y =6(-3) +8

y= -18 + 8

y= -10

Answer:

9/10

Step-by-step explanation:

hope this helps

Answer:

9/10

Step-by-step explanation:

divide top and bottom by 10

Step-by-step explanation:

[tex]{\qquad{\rule{150pt}{1pt}}}[/tex]

Explaination

Answer:

362x4

This equals 1448

Step-by-step explanation:

Answer:

362

  x4

---------

Step-by-step explanation:

because we're using place value we need to line up the numbers, 4 below the 2 and so on.

Answer: (5,1)

Step-by-step explanation:

Divide both sides of the equation by 3, Eliminate the x's and you should have 6y=6. After solving y to be 1 plug it into one of the equations to find x

Answer:

50

Step-by-step explanation:

Volume of rectangular pyramid=(l*w*h)/3, so 150/3=50

Answer:

V=1/3 * L *W *H

V= 1/3 *5* 3 *10

V=1/3 *150

V= 50 m2

Step-by-step explanation:

your answer

Answer:

  h = 1

Step-by-step explanation:

The h in f(x) = |x -h| is the number of units the graph of f(x) is shifted to the right. The blue graph vertex is 1 unit to the right of the black graph vertex, so ...

  h = 1

When raising one power to another power multiply the two powers together:

(3y^3)^2 = 3y^(3 * 2) = 3y^6

Answer: 3y^6

The expression [tex](3y^3)^2[/tex] is simplified by applying the exponent rules and the value is [tex]9y^6[/tex]

Given data:

The expression [tex](3y^3)^2[/tex]  can be simplified by applying the exponent rules. To remove the exponents, we multiply the base and raise it to the power of the product of the outer and inner exponents. In this case, the base is [tex]3y^3[/tex], and the exponent is 2.

First, square the numerical coefficient, which is 3, to get [tex]3^2 = 9[/tex]. Next, apply the exponent to the variable term [tex]y^3[/tex] by multiplying the outer exponent (2) with the inner exponent (3), resulting in  [tex]y^(3 * 2) = y^6[/tex].

Hence, [tex](3y^3)^2[/tex]  simplifies to [tex]9y^6[/tex] . This means that the expression represents the result of squaring the quantity [tex]3y^3[/tex], resulting in 9 times the sixth power of y. It's essential to understand and apply exponent rules to efficiently simplify expressions and evaluate mathematical operations without using exponents directly.

To learn more about exponential form, refer:

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Answer: i think its y=2x+22

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

We know 10 1/2 is basically 10.5 or 21/2

To find the max amount of scarves she can make, simply divide the number of yards she has by 4. This will get you the number of scarves she can create.

[tex]\frac{21/2}{4} = \frac{21}{2} * \frac{1}{4} = 21/8 = 2.625[/tex]

Well.. we don't want to make .625 of a scarf since that would be ridiculous, so we will round it down to 2 since we can't make 3 either.

The max amount of scarves she can make is 2.

Step-by-step explanation:

log_10( 3x -7) =2

10² = 3x - 7

100 = 3x -7

3x = 107

x = 107/3

Answer:

Refer to the attachment!

[tex]\\ \sf\Rrightarrow 2x+y=-2[/tex]

[tex]\\ \sf\Rrightarrow y=-2x-2[/tex]

Graph attached

Answer:

y = 78

Step-by-step explanation:

x - 5 = 72

x = 77

77 - 5 = y -6

I hope this helps!!

Answer:

Domain: {−2, −1, 0, 2} Range: {−4, −2, 2}

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

A really simple way to solve these problems is to think of g(whatever number) as the y coordinate on your graph. Therefore the question is basically asking you if x is 10, what is y. If we find 10 on the x axis, we can count up the y axis until we reach the line. So, the answer is 8

Yes you found it correct as per slope intercect form y=mx+b

Here

Slope=m=1/2

Y intercect=5

Now.

for g(10)

The coordinate is (10,8)

So

g(10)=8

Answer:

d

Step-by-step explanation:

_________

[tex] \: [/tex]

3m + pm = 2

3m + 4m = 2

(3 + 4)m = 2

7m = 2

m = 2/7

Answer:

3/4

6/8

12/15

15/18

Step-by-step explanation:

Answer:

3/4, 18/24, 27/36, 36/48

Step-by-step explanation:

9 and 12 can both be divided by 3 to equal 3/4

9/12 times 2 is 18/24

9/12 times 3 is 27/36

9/12 times 4 is 36/48

hope this helps:)

Answer:

angle a = 104 degrees, angle b = angle c = 123 degrees

Step-by-step explanation:

angle c = 180 - 57

angle c = 123 degrees

angle a = 180 - 76

angle a = 104 degrees

angle b = 180 - 57

angle b = 123 degrees

Answer:

I think the second blank is 5 and the third blank is 2.

Input 1: Output 5

Input 5: Output 2

Answer:

ur a lightbulb head

Step-by-step explanation:

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