The city is designing a new public pool, shown below. If each cubic foot of space can hold 7.5 gallons of water, how many gallons of water can the pool hold? Show your work.

Product of a and 4

\(4a\)

Answer:

2.475

Step-by-step explanation:

12 divide into 29.7 goes 2.475 times

use the illustration from the other example and you should be able to do it

12 into 29 goes twice

subtract 29-24 to get 5

bring down the 7 to get 57

12 into 57 goes four times

57-48 = 9

bring down a zero to get 90

12 into 90 goes seven times

90-84 = 6

12 into 60 is 5

18÷29.70= 0.40

that should be right

Agility, balance, coordination, speed, reaction time, and power are all components of Skill -related fitness.

The skill-related component of physical fitness is specifically related to skills used in sports and is often (but not always) combined with other components of fitness. For example, power is strength at speed. Agility is a combination of strength and balance. The six basic fitness components related to ability are flexibility, balance, coordination (hand-eye or foot-eye), strength, reaction time and speed. If you already meet ACSM guidelines and want to train more for specific fitness-related goals, consider his six fitness components related to ability. The health component of fitness is of universal importance. Performance-related fitness components are better suited to specific athletes. For example, everyone benefits from a daily walk, but someone who walks just to get their heart pumping doesn't need to be fast enough to run a 5-minute mile.

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Answer:

0.125

Step-by-step explanation:

\( \frac{1}{2} \div 4\)

\( \frac{1}{2} \times \frac{1}{4} \)

\( \frac{1}{8} \: or \: 0.125\)

Answer:

0.125

Step-by-step explanation:

Step-by-step explanation:

the answer is 4 m + 5 and my workings and the image above

Answer:

\(4m + 5\)

Step-by-step explanation:

\((16 {m}^{2} +40m+25)÷(4m+5)\)

\(4m + 5\)

The sum of the exterior angle of the pentagon is 360 degrees.

The polygon above is a pentagon. A pentagon is a polygon with 5 sides.

If the side of a polygon is extended, the angle formed outside the polygon is the exterior angle. The sum of the exterior angles of a polygon is 360°.

Therefore, the sum of the measure of the exterior angles of the pentagon as shown is 360 degrees.

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Answer:

B.

Process of elimination.

A is incorrect because 6 out of 10 people is 60 percent.

C is wrong because if you consider just half (50 percent) of 65, you'll get 32.5 . In order to get 65 percent, C would have to be over 32.5, and 10 is not.

D is wrong because once again, half (50 percent) of 13 is 6.5 and in order to get 65 percent, D would have to be over 6.5, and 5 is not.

\(▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ \)

Using identity :

therefore, the correct choice is :

\(( \sqrt{5} + \sqrt{2} {)}^{2} \\ \)

\(by \: \: \: using \: \: \: the \: \: \: formula \: \: (a + b) ^{2} = {a}^{2} + 2ab \: + {b}^{2} \: \: we \: \: \: get \\ ( \sqrt{5} {)}^{2} + 2( \sqrt{5}) \: (\sqrt{{2)}} + ( \sqrt{2) }^{2} \\ = \sqrt{5} \times \sqrt{5} + 2 \sqrt{5 \times 2} + \sqrt{2} \times \sqrt{2} \\ = 5 + 2 \sqrt{10} + 2 \\ = 7 + 2 \sqrt{10} \)\)

(C) 7+2√10

The standard deviation is relatively small when the data are all concentrated close to the mean, exhibiting little variation or spread.

The standard deviation could be a degree of the changeability or spread of a set of information. It is calculated by finding the square root of the normal of the squared contrasts between each information point and the cruel(mean).

In other words, it tells us how much the information values are scattered around the mean.

When the information is all concentrated near the cruel(mean), it implies that the contrasts between each information point and the cruel are moderately little.

This comes about in a little while of squared contrasts, which in turn leads to a little standard deviation. On the other hand, when the information is more spread out, it implies that the contrasts between each information point and the cruel are bigger.

This comes about in a bigger entirety of squared contrasts, which in turn leads to a bigger standard deviation.

For case, let's consider two sets of information:

Set A and Set B.

Set A:

2, 3, 4, 5, 6

Set B:

1, 3, 5, 7, 9

Both sets have the same cruel(mean) (4.0), but Set A encompasses a littler standard deviation (1.4) than Set B (2.8).

This is because the information values in Set A are all moderately near to the cruel(mean), while the information values in Set B are more spread out.

Subsequently, we will say that the standard deviation is generally small when the information is all concentrated near the mean, showing a small variety or spread.

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okay so since the area is 22cm^2 , you will need to simplify it.

Which you will get 22*22 and the total would be 484. Which u will divide by 4 ( Square) to get each of the side your looking for.

So your answer is... 121

Mark sets aside $404 for more supplies.

Mark spent $175 on supplies, so his total cost is $175.

Mark sold 6 pieces of artwork for $70 each, so he earned 6 * $70 = $420 from these pieces.

He sold 15 - 6 = 9 pieces of artwork at $85 each, so he earned 9 * $85 = $765 from these pieces.

His total revenue is $420 + $765 = $1185.

His profit is his revenue minus his cost: $1185 - $175 = $1010.

He plans to set aside 40% of his profit for more supplies, so he will set aside 0.4 * $1010 = $404.

Therefore, Mark sets aside $404 for more supplies.

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The equation in slope intercept form is C(h) = 50h+25  ,the total cost for 8 hours of work is $425 , and for 10 hours of work  is  $525.

In the question;

it is given that

the fixed charge of plumber = $25

charge for per hour of service = $50

the hours of service be "h"

and the total cost be "C"

according to the question

C(h) = 50h+25

the equation in the slope intercept form is C(h) = 50h+25

to find the total cost for 8 hours of work , put h=8

C(8) = 50(8) + 25

= 400+25

= 425

to find the total cost for 10 hours of work , put h=10

C(10) = 50(10) + 25

= 500+25

= 525

Therefore , total cost for 8 hours of work is $425 , and for 10 hours of work  is $525 .

The given question is incomplete , the complete question is

A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work? 10 hours of work?

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Using it's concept, it is found that the inequality represents the domain of the exponential piece is:

d) \(x \leq -2\).

The domain of a function is the set that contains all possible input values.

Researching this problem on the internet, we have that the function is divided as follows:

Hence, for the domain of the exponential piece, option d is correct.

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The only transformation that would carry rectangle ABCD onto itself is a single rotation of 180 degrees in a parallelogram.

Rectangle ABCD's characteristics and how each transformation affects its orientation and location must be examined in order to identify the collection of reflections and rotations that would carry the rectangle onto itself of a parallelogram.

First, using the provided coordinates, let's determine the sides of the rectangle: AB is parallel to DC, and AD is parallel to BC. Also, we can observe that the lengths of AB and AD are equal to DC and BC, respectively, indicating that the opposite sides are congruent.

The rectangle is first suggested to be rotated 180 degrees. This transformation simply maps each point to its corresponding point on the rectangle; the rectangle's orientation is left unchanged. Hence, rectangle ABCD would be carried onto itself by this transformation alone.

The rectangle is first reflected over the x-axis, rotated 180 degrees, and then reflected once more over the x-axis is the second transformation suggested. This series of transformations flips the rectangle's orientation while mapping each point to its equivalent point on the other side of the rectangle. Hence, the rectangle ABCD would not be carried onto itself by this transformation sequence.

The third suggested transformation involves reflecting the rectangle first over the y-axis, then over the line y = x, and then back over the y-axis. The rectangle's orientation is maintained but its position is altered by this series of modifications. Hence, the rectangle ABCD would not be carried onto itself by this transformation sequence.

The rectangle is to be rotated 180 degrees, reflected over the line y = x, and then reflected over the x-axis as the fourth transformation suggested. Each point is moved and mapped to a point on the other side of the rectangle via this series of transformations. The rectangle's orientation is also altered, though. Hence, the rectangle ABCD would not be carried onto itself by this transformation sequence.

Hence, a single 180° rotation is the only transformation that could turn rectangle ABCD upon itself.

In conclusion, we studied the features of the rectangle and the consequences of each transformation on its orientation and location to find the set of reflections and rotations that would transport rectangle ABCD onto itself. In contrast to the other suggested transformations, we discovered that only a single rotation of 180 degrees would keep the rectangle's orientation and location intact.

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The Size and representativeness of the sample are crucial factors in obtaining reliable estimates

The average satisfaction level of customers for a particular product. The population consists of thousands of customers who have purchased the product over a given period of time. It would be impractical and time-consuming to survey every single customer to obtain their satisfaction ratings. In such a situation, it would be beneficial to use a sample mean of a specific size.

By selecting a representative sample from the population, you can obtain a smaller subset of customers whose responses can be used to estimate the population mean. This approach allows you to collect data efficiently and make reasonable inferences about the entire customer population.

Here are a few reasons why using a sample mean would be beneficial:

1. Time and Cost Efficiency: Collecting data from the entire population can be time-consuming and costly. By using a sample, you can obtain the required information within a reasonable timeframe and at a lower cost

2. Feasibility: Sometimes, the population is too large or geographically dispersed to survey every individual. In such cases, a well-designed sample can provide sufficient information to make accurate estimations.

3. Practicality: In situations where obtaining data from the entire population is not feasible, such as studying historical events or conducting experiments, a sample can be a practical approach to gather data and draw meaningful conclusions.

4. Statistical Inference: With appropriate sampling techniques, you can use the sample mean to make statistical inferences about the population mean. By calculating confidence intervals or conducting hypothesis tests, you can estimate the range within which the population mean is likely to fall.

5. Reduction of Variability: Using a sample mean can help reduce the effect of individual variations and random fluctuations that may be present in the population. A sample can provide a more stable estimate of the population mean by averaging out the individual differences.

the size and representativeness of the sample are crucial factors in obtaining reliable estimates. Proper sampling techniques and statistical analysis should be employed to ensure the validity and accuracy of the results.

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One accurate statement amount Arab Americans is that b. Arab Americans include both Muslims and Christians.

Arab Muslims are known to include both Muslims and Christians and indeed it is estimated that more Arab Americans are Christians as opposed to Muslims.

They are also quite urbanized and have very high rates of education which has given then access to more income.

Options for this question include:

a. Arab Americans are not urbanized.

b. Arab Americans include both Muslims and Christians.

c. Arab Americans rank relatively low in terms of income and occupation

d. Arab Americans tend to have low levels of education and skills.

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\(\huge \underline\frak \red{Answer}\)

Given thing are

cos Θ = 2/3

we know that Cos Θ = Adjacent Side / Hypotenuse, so we get

Adjacent Side = 2

Hypotenuse = 3

Hypotenuse : BC = 3

Adjacent Side : AB = 2 (Adjacent to ∠ Θ)

Opposite Side : AC = ? (Opposite to ∠ Θ)

To find the Opposite Side - AC , we use Pythagoras theorem ((Hypotenuse)2 = (Leg 1)² + (Leg 2)²)

AC = √ BC² - AB²

AC = √ 32 - 22

AC = √ 9 - 4

AC = √5

Now we will try to simplify square root of 5. As no pairs can be made the final value will be

__

AC = √ 5

So Sin, Cos and Tan will be as follows -

Sin Θ = Opposite Side / Hypotenuse

__

Sin Θ = √5/3

Tan Θ = Opposite Side / Adjacent Side

__

Tan Θ = √5/2

Cos Θ = Adjacent Side / Hypotenuse

Cos Θ = 2/3

Answer:

(4, -5)

Step-by-step explanation:

Use the (y, -x) rule when rotating points 90 degrees clockwise on a graph.

LMNP is rotated 90° clockwise around the origin then, the coordinates of N will be (4, -5).

Let the point be having coordinates (x,y).

If the point is in the first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

On origin

No effect as we assumed rotation is being with respect to the origin.

LMNP is rotated 90° clockwise around the origin

In the given figure when we rotate it 90 degrees clockwise so the value as the rule

By Putting the value in x = 5 and y = 4

then, the coordinates of N will be (4, -5).

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Answer:

GCF is 8

32x - 24 = 8(4x - 3)

Step-by-step explanation:

By using combination, there are 24 possible ways to place 4 rooks on a 4 x 4 chessboard such that no two rooks can capture each other.

To place 4 rooks on a 4 x 4 chessboard such that no two rooks can capture each other, we can use the process of combination to place one rook in each row and column, so that no two rooks are in the same row or column.

We can start by placing the rook in the first row and first column. There are four options for where to place the rook in the second row, three options for where to place the rook in the third row, and two options for where to place the rook in the fourth row.

Therefore, there are 4 x 3 x 2 x 1 = 24 ways to place 4 rooks on a 4 x 4 chessboard such that no one rook can capture another rook.

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Answer:

23 cm = 0.23 m or  9.055118 inches

Step-by-step explanation:

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{3}}}}}\)

Step-by-step explanation:

Let the points be A and B

Let A ( 7 , 10 ) be ( x₁ , y₁ ) and B ( 12 , 25 ) be ( x₂ , y₂ )

Finding the slope

\( \boxed{ \sf{slope \: = \: \frac{y2 - y1}{x2 - x1} }}\)

\( \longrightarrow{ \sf{slope = \frac{25 - 10}{12 - 7} }}\)

\( \longrightarrow{ \sf{slope = \frac{15}{5} \: }}\)

\( \longrightarrow{ \sf{slope = 3}}\)

Hope I helped!

Best regards! :D

Answer:

6hours/1 day

Step-by-step explanation:

I REALLY hope this helps

Best of luck

Answer:

The diver’s depth is 18.5 feet below from sea level.

Given that, A diver begins at sea level and dives down 200 feet.

He ascends at a steady rate of 121/3 feet per minute for 4.5 minutes.

This depth is represented by the numerical expression is,

Negative sign indicate that below the sea level.

Hence, The  diver’s depth is 18.5 feet below from sea level.

The possible​ point, p, that Amanda earned is 70.

We will solve this by unitary method

The unitary approach involves calculating the value of a single unit, from which we can calculate the values of the necessary number of units.

Finding the value of a single unit and using that value to determine the value of several units is the fundamental idea behind the unitary approach.

Formulate based on the conditions stated:30X3+1X10-30

Determine the quotient or product:90+10-30

Determine the total or difference:100-30

Determine the total or difference:70

get the outcome:70

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Answer:

w = -9

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*w-(-27)=0

Step by step solution :

Step 1: Pulling out like terms

 Pull out like factors :

  3w + 27  =   3 • (w + 9)  

Equation at the end of step 1:

Step 2:

Equations which are never true:

Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

Solve  :    w+9 = 0  

Subtract  9  from both sides of the equation :  

                     w = -9

One solution was found :

w = -9

Answer:

he will have 3 pieces

Step-by-step explanation:

3/8×8

=3