if you were to extract 15000 mcubic from a lake each year for 15 years, how far would the lake level fall? total volume of water given as 5400000 m cubic and water depth of the lake is 4 m

The probability that the amount dispensed per box will have to be increased is 0.0062.

Consider the provided information.

Sample of 16 boxes is selected at random.

If the mean for 1 hour is 1 pound and the standard deviation is 0.1

1 Pound = 16 ounces , then 0.1 Pound = 16/10 = 1.6 ounces

Thus: μ = 16 ounces and σ = 1.6 ounces.

Compute the test probability

z= x−μ/σ/[tex]\sqrt{n}[/tex]

z= 15-16/ 1.6/[tex]\sqrt{4}[/tex]

z= -1/ 0.4

z= -2.5

By using the table.

Probability p value = P(Z<-2.50) = 0.0062

Thus, the probability that the amount dispensed per box will have to be increased is 0.0062.

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The value of 3/12 of 100 is 25 .

In the question ,

a fraction 3/12 is given ,

we have to find the value of 3/12 of 100 .

to find the value , we first convert both the numbers into fraction

So 100 in fraction form can be written as 100/1

So the value 3/12 of 100 means

= [tex]\frac{3}{12} *\frac{100}{1}[/tex]

multiplying the numerator with numerator

and multiplying denominator with denominator .

we get = 300/12

on further  simplification ,

we have ,

= 75/3

= 25

So , 3/12 of 100 = 25

Therefore , The value of 3/12 of 100 is 25 .

The given question is incomplete , the complete question is

What is the value of 3/12 of 100 ?

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Answer:

12 + 6 - 15 + (-1) = 2

Step-by-step explanation:

4a = 3 × 4 = 12

ac = 3 × 5 = 15

12 + 6 - 15 + (-1) = 2

Answer:

20%

Step-by-step explanation:

4/20

 20 x 5 = 100

 4x 5 =20

20/100=20%

Answer: −18.5s+28.1

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1) given

2) corresponding angle theorem

3) definition of a linear pair

4) definition of a linear pair

5) supplement theorem

Answer:

Value of x is 22 because there are alternative angles

Step-by-step explanation:

Alternate angles are angles that occur on opposite sides of the transversal line and have the same size.

A certain plant grows 1 1/6 inches each week. it will rake the plant to grow 6 1/6 inches is 5 weeks 2 days.

Time is ongoing progression of existence and things that happen in what seems to be an irrevocable order from the past, present, and forward into the future. It is a quantity that is part of several measurements that are used to compare the length of events or the gaps between them, to compare how long they last, to order events, and to measure how quickly the things change in the real world or in our conscious experience. Along with the three spatial dimensions, time is frequently referred to as a fourth dimension.

Time has long been an important subject of study in religion, philosophy, and science, but defining it in a manner applicable to all fields without the circularity has consistently eluded scholars. Nevertheless, diverse fields such as the business, industry, sports, sciences, and the performing arts all incorporate some notion of time into their respective measuring systems.

A certain plant grows every week = [tex]1\frac{1}{6}[/tex] = [tex]\frac{7}{6}[/tex] inches

1 week = 7 days

Therefore in 1 day plant grows = [tex]\frac{\frac{7}{6} }{7}[/tex]

                                                        = [tex]\frac{1}{6}[/tex] inch

Now we have to calculate the number of days in which the plant grows [tex]6\frac{1}{6}[/tex]  inches ≈ [tex]\frac{37}{6}[/tex] inch

Number of days = [tex]\frac{Total growth}{growth in one day}[/tex]

                          = [tex]\frac{37}{6}[/tex] ÷ [tex]\frac{1}{6}[/tex]

                          = [tex]\frac{37}{6}[/tex]  × 6

                          = 37 days ≈ 5 weeks and 2 days

It will take plant 5 weeks 2 days to grow [tex]6\frac{1}{6}[/tex] inches.

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Step-by-step explanation:

soz bro I need the points but that guy too be moving madd

The length of a corresponding line segment in the image is; Nz

We know that;

Slope is the ratio of change in y-value and change in x-value.

Thus, dilation does not change the slope of any line.

Now, after dilation; M---->M

Length of line:

We know that a dilation has the effect of stretching or shrinking the line segment by the factor of N units

We are given

Length of line = z

Thus, the length after dilation will become

= N * z

= Nz which is the length of a corresponding line segment

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The following linear equation gives Johnny's savings w weeks after her opened the account.

S(w) = $95 + $15*w

We know that initially, Johnny deposits an amount of $95, and then he saves $15 per week.

So, after w weeks, the amount in that savings account will be:

S(w) = $95 + $15*w

This linear equation gives the bank account balance w weeks after her opened the account.

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Hello!

The product of something is the outcome of ADDITION.

This means we will have to add 7 and 13.

7+13=20.

It says the subtract 18.

20-18=2.

2 is your answer!!
---------------------------------

this is a pretty simple concept so I hope you understood. just remember product=addition. much love!! <3

Answer: [tex]y=-5x+11[/tex]

Step-by-step explanation:

We can model this with a line.

The slope of the line is [tex]\frac{-29-1}{8-2}=-5[/tex], and so the equation is [tex]y=-5x+11[/tex].

Step-by-step explanation:

4(x - 3) + 5x - x²

If x = 2,

= 4(2 - 3) + 5(2) - (2)²

= 4(-1) + 10 - 4

= -4 + 10 - 4

= 6 - 4

= 2.

Therefore, it is confirmed that x = 2.

Answer:

1. x2-2x-24=0

break middle term

= x2-6x+4x-24=0

factorise:

x(x-6)+4(x-6)=0

=(x+4)(x-6)=0

x+4=0

x= -4

x-6=0

x= 6

2. x2-11x+18=0

break middle term

x2-9x-2x+18=0

Factorise

x(x-9)-2(x-9)=0

(x-2)(x-9)=0

x-2=0

x=2

x-9=0

x=9

Ask me if u don't know how to break middle term

Answer:

Step-by-step explanation:

I guess you want to draw the graph.

The graph is a straight line

-6x - 20 = 4y

When x = 0:

-6(0) - 20 = 4y

y = -20/4 = -5

So, one point on the graph

= (0, -5)

When y = -2:

Plugging y = -2 into the equation:

-6x - 20 = 4(-2)

-6x = -8 + 20 = -12

x = -2

So, another point is (-2, -2)

Mark these 2 points on the graph paper

and draw a line passing through them.

Answer:

a = - 2

Step-by-step explanation:

since the point (3, 2 ) lies on the parabola, then it makes the equation true.

substitute x = 3, y = 2 into the equation and solve for a

y = ax² + 3x + 11

2 = a(3)² + 3(3) + 11

2 = 9a + 9 + 11

2 = 9a + 20 ( subtract 20 from both sides )

- 18 = 9a ( divide both sides by 9 )

- 2 = a

Answer:

a = -2

Step-by-step explanation:

Given quadratic equation:

[tex]y=ax^2+3x+11[/tex]

In order to find "a", substitute the given point on the curve (3, 2) into the equation and solve for a:

[tex]\begin{aligned}y&=ax^2+3x+11\\\textsf{Substitute $(3,2)$} \implies 2&=a(3)^2+3(3)+11\\2&=9a+9+11\\2&=9a+20\\2-20&=9a+20-20\\-18&=9a\\9a&=-18\\\dfrac{9a}{9}&=\dfrac{-18}{9}\\\implies a&=-2 \end{aligned}[/tex]

Therefore, the value of "a" so that parabola y = ax² + 3x + 11 goes through the point (3, 2) is:

[tex]\large \boxed{a=-2}[/tex]

Answer:

24

Step-by-step explanation:

Think of .5 as 2 and instead of dividing, you're multiplying.

So instead of 12/.5, it would be 12x2, which is 24.

Hope that helps!

When the compass setting is changed in the next step of perpendicular bisector setting the construction line that suppose to be the perpendicular bisector will:

When a line say AB requires a perpendicular bisection by another line say CD, the following will happen

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The expression of b over negative 5.6 is less than or equal to negative 4.9 for b ≤ 0.7 ( b less than or equal to 0.7 ).

Based on the given conditions,

Negative 5.6 means = -5.6

Negative 4.9 means = -4.9

Negative 5.6 means ≤ Negative 4.9 means

Then,

-5.6  ≤  -4.9

But,

Let the number b is over negative 5.6,

It means,

We can write,

b + (-5.6)      (Equation-1)

This equation-1 is write into,

b + (-5.6) ≤  -4.9

b - 5.6 ≤  -4.9

b ≤ (-4.9) + 5.6

We can sum or difference the products,

b ≤ 0.7

Therefore,

The expression b over negative 5.6 is less than or equal to negative 4.9 for b ≤ 0.7

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Answer: The expression b over negative 5.6 is less than or equal to negative 4.9 for b ≤ 0.7

Step-by-step explanation:

Answer:

Answer down below!

Step-by-step explanation:

It is not prime!!

10,000,000,001 is an odd eleven-digits composite number following 10000000000 and preceding 10000000002. In scientific notation, it is written as 1.0000000001 × 10^10. The sum of its digits is 2. It has a total of 3 prime factors and 8 positive divisors. There are 9,897,840,000 positive integers (up to 10000000001) that are relatively prime to 10000000001.

The inequality for the given statement is y > -8x+9.

inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given that,

The statement is "The value of y is greater than the sum of negative eight times the value of x and 9".

According the given statement

First taking the sum of negative eight times the value of x and 9.

-8x+9

Then,

y is greater than -8x+9.

y > -8x+9

Hence, The inequality for the given statement is y > -8x+9.

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Answer:

b 23 is your answer okisussu

Answer:

Your number written in expanded form is: 80000 + 4000 + 700 + 80 + 7

The polynomial is

[tex]10x + y[/tex]

[tex]4x=8\\\frac{4x}{4} =\frac{8}{4} \\x=2[/tex]

simplified it is x=2

Answer:

x = 2

Step-by-step explanation:

4 x 2 = 8

Answer:

50

Step-by-step explanation:

    [tex]\sf 2\sqrt{5}*5*\sqrt{5} = 2*5* \sqrt{5*5}[/tex]

                          = 10 * 5

                           = 50

Multiply the rational numbers and multiply the radicals.

√134 is the number which is located between 11 and 12 on a number line.

A number line is a horizontal straight line on which real numbers are arranged in equal intervals. This line extends both sides at infinity.

Comparison and operations of numbers can be better explained using number lines.

Taking consecutive perfect squares of integers which lies above and below the given numbers on the number line and taking it's square root, we can find the answer.

The perfect squares below and above 150 are 144 = 12² and 169 = 13². So √150 lies in between 12 and 13.

The perfect squares below and above 134 are 121 = 11² and 144 = 12². So √134 lies in between 11 and 12.

The perfect squares below and above 115 are 100 = 10² and 121 = 11². So √115 lies in between 10 and 11.

The number 121 is itself a perfect square. √121 = 11.

Hence √134 is the number which lies in between 11 and 12.

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Answer:

9.32 if question is [tex]3.5^2-\sqrt{8.6}[/tex]

or

10.55 if question is [tex]3.5^2 - \sqrt{8} \cdot 6[/tex]

(see explanation below)

Step-by-step explanation:

I took the question as
[tex]3.5^2-\sqrt{8.6}[/tex]

since it was not clear if it was [tex]\sqrt{8.6}[/tex] or [tex]\sqrt{8} \cdot 6[/tex]

If it is  [tex]3.5^2 - \sqrt{8} \cdot 6[/tex] then the answer would be 10.55

So check out your question and choose

The measures of the unknown angles are as follows:

The measures of each angles can be found as follows:

Therefore,

∠AEB = ∠CED (vertically opposite angle)

∠DEA = ∠BEC (vertically opposite angle)

Vertically opposite angles are equal.

Therefore,

4x = 75 - x

4x + x = 75

5x = 75

x = 75 / 5

x = 15

Therefore,

∠DEA = ∠BEC = 4(15) = 60°

∠AEB = ∠CED  = 360 - 120 / 2 = 240 / 2 = 120°

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