Swimming pool, only certain hot summers day, 430 People used the public swimming pool. The daily prices are $1.50 for children and $2.25 for adults. The receipts for admission totaled $8008.50. How many children and how many adults-swam at the public pool that day?.

Answer: B (120 in^3)

Step-by-step explanation: W * L *H = V

Length * Width * Height = Volume

You can multiply the LWH in any order.

Height = 4

Length = 10

Width = 3

Remember, anything multiplied by ten is just the product (answer) with a zero added to the end. Example: 4 * 3 = 12; 12 * 10 = 120

Another Example: 15 * 2 = 30; 30 * 10 = 300

4 * 10 = 40

40 * 3 = 120

Therefore, 120 is your answer.

Hope this helps!

Answer:

The answer to your problem is, 120 cu in

Step-by-step explanation:

In order to find the volume of the cube there is only one thing that you need to do which is pretty simple just follow these steps:

Multiply, l * w * h          ( * = multiply )

By following the formula up above you can find the volume of a rectagular prism which is:

4 x 10 = 40

3 x 40 = 120.

Thus the answer to you problem is, 120 cu in

Horizontal changes are often the opposite of what you'd expect to see in the formula.

12:

To shrink/compress horizontally by a factor of 2/3, you need \(g(x) = f(\frac{3}{2}x)\).

Notice we have the reciprocal inside of the function notation.

13:

To translate left 5 units, you have \(g(x) = f( x+5 )\).

Notice we have the opposite sign inside of the function notation.

Answer:

X=32 and Y=51

Step-by-step explanation:

first to find the answer, we must establish that the sum of 3 angles in any triangle will equal 180 degrees, and both triangles are congruent then we can start making equations. Triangle STU has 2 numbers and one equation on it, the equation for the length of NP will give us y, but first we must get X from the equation for angle TUS which is congruent to angle MNP, so first we must add angle M and angle P together to find angle N, 142+24=166, 180-166=14, so angle N and angle U are both equal to 14 degrees, so, 2x-50=14 first add 50 to both sides then divide by 2 giving us 32=X. Now that we have x, we can find y, 2x32-y=13, we can determine m is equal to 13 m because segment SU is congruent to segment NP, SU is 13 meters, thus NP is 13 meters long as well. first multiply 32 and 2 giving 64, then subtract 64 from both sides, giving you -y=-51, but we don't stop here because y itself can't be negative as that's not what's being asked for, so divide both sides by negative 1 giving you Y=51

-3/8 ÷ -1/4 = -3/8 *-4/1= 12/8 = 1 4/8, 1 1/2

Answer:

1728000cm^3

Step-by-step explanation:

100cm-1m

x-1.2m

cross multiply

x=120cm

v=lxbxh

=120^3=1728000cm^3

The expression for h(x) is,

⇒  h (x) = √(x - 2) + 4

Now, Given that;

Initially the graph f (x) is shifted horizontally to the right.

When the graph shifts to right the function then becomes

f (x) → f (x-b)

Where b is the units by which it is shifted towards right .

So, in the figure we can see that it is shifted 2 units to the right .

So, f(x) → f(x-2)

Since f(x) is,

⇒ f (x) = √x

So, f (x-2) = √x - 2

Now, the new obtained graph is again shifted vertically upward

When the graphs shifts upward;

⇒ f(x) → f(x) + b

where b is the units by which it is shifted upward

So, our obtained f(x-2) when shifted upward by 4 units so using the above given transformation of upward shift

i.e. f(x) → f(x) + b

So, Our new graph h(x) = f(x-2) + 4

⇒  h (x) = √(x - 2) + 4

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Answer:

3.4567 is a rational number

Step-by-step explanation:

An irrational number has no ending while a rational number does. An irrational number can not be written as a fraction while a rational number can. Basically, all you have to do to figure out if a number is rational or irrational is to figure out if it has an ending.

For example, if you had 234.888888888 irrational but if the number was 234.98989654 then it would be rational

Answer:

Step-by-step explanation:

$100x0.5x1=$5

Answer:

Either location costs the same when they play 4 games

Step-by-step explanation:

The total cost for playing putt-putt consists of fixed rentals and a variable amount per game.

On one location Ben and his friends can pay $2 rentals plus $7.50 per game.

If x is the number of games played, then the total cost at this location is:

C1(x) = 7.50x + 2

At another location, it would cost $8 for rentals plus $6 per game. The second function is:

C2(x) = 6x + 8

It's required to find the number of games x in order for either location to cost the same amount.

It can be done by equating both cost functions:

7.50x + 2= 6x + 8

Subtracting 2 and 6x:

7.50 - 6x = 8 -2

Operating:

1.5x = 6

Dividing by 1.5:

x = 6 / 1.5

x = 4 games

Either location costs the same when they play 4 games

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

The radius of the cylinder is 8 inches.

Given,

In one design being considered for the container shaped like a cylinder, the container will have a height of 12 inches.

We need to find the radius of the container to the nearest 10th of an inch.

A cylinder is a three-dimensional solid that has two parallel bases joined by a curved surface, at a fixed distance.

The volume of a cylinder is given by:  π r² h.

The relation between the radius of the base and the height of a cylinder is that the ratio between the radius of the base and the height of a cylinder is 2:3.

We have,

The container will have a height of 12 inches.

The container is like a cylinder.

Height of the cylinder = 12 inches.

Using the relationship between radius and height of a cylinder.

= Radius: Height

= 2 : 3

Let radius be 2x and height be 3x.

We have,

Height = 3x = 12 inches.

Radius = 2x

Find the value of x.

3x = 12 inches

x = 12 / 3 inches

x = 4 inches.

Now,

Put x = 4 inches in radius =2x.

Radius = 2x

Radius = 2 x 4

Radius = 8 inches.

Thus the radius of the cylinder is 8 inches.

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The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer:

Round both numbers to 1 significant figure.

400+400=800

800 is the answer.

The expression representing the perimeter of the polygon is given as follows:

7mn³/3 + 4m² + 3mn².

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

Hence the perimeter for the polygon in this problem is given as follows:

mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².

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Using scientific notation, the measure is given as follows:

\(1.9 \times 10^{-10}\)

A number in scientific notation is given by:

\(a \times 10^b\)

With the base being \(a \in [1, 10)\).

The diameter of a proton, in scientific notation, is given by:

\(1.9 \times 10^{-15}\).

The hydrogen atom has an overall length of 100,000 = 10^5 times the diameter of the proton, hence the length is given by:

\(L = 100000 \times 1.9 \times 10^{-15} = 10^5 \times 1.9 \times 10^{-15} = 1.9 \times 10^{5 - 15} = 1.9 \times 10^{-10}\)

For the above length, I applied the multiplication of factors with the same base and different exponents, where we keep the base and add the exponents.

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Answer:

The 95% confidence interval for the true proportion of all medical students who plan to work in a rural community is (0.0525, 0.1075).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

For this problem, we have that:

\(n = 375, \pi = \frac{30}{375} = 0.08\)

95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.08 - 1.96\sqrt{\frac{0.08*0.92}{375}} = 0.0525\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.08 + 1.96\sqrt{\frac{0.08*0.92}{375}} = 0.1075\)

The 95% confidence interval for the true proportion of all medical students who plan to work in a rural community is (0.0525, 0.1075).

Answer:

C

A

C

Step-by-step explanation:

Answer:

amigo tu

Step-by-step explanation:

Answer:

198 feet per minute

Step-by-step explanation:

8910 feet ÷ 45 minutes = 198 feet per minute

Answer:

198 feet per minute.

Step-by-step explanation:

To solve this, you divide the number of feet she walked by the number of minutes. This will give you the number of feet she walked in 1 minute.

8,910/45 = 198.

Answer:

Answer:

B

Step-by-step explanation:

First to find the sample mean

Xbar= summation x/n= 40/4= 10

The sample standard deviation is:

S= √summation(x-xbar)²/ n-1

=√6/3= 1.4142

The degrees of freedom

df= N-1= 4-1= 3

For 95% confidence level, critical value of t

t= 3.182

The 95% confidence interval is:

=Xbar plus or minus t' *8/√n

= 10 plus or minus 3.182(1.4142/√4)

= 10plus or minus 2.25

So 7.75 or 12.25

The reason that justifies the second statement "Angle L is congruent to angle T" is:

In a parallelogram, opposite angles are congruent.

Option C is the correct answer.

A parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

Parallelogram LENS and parallelogram NGTH

Now,

Parallelogram LENS:

∠L = ∠N _____(1)

Opposite angles are equal.

Parallelogram NGTH:

∠N = ∠T ______(2)

Opposite angles are equal.

Now,

∠ENS = ∠GNH

Vertical angles are equal.

So,

From (1) and (2).

∠L = ∠T

Angle L is congruent to angle T

Thus,

Angle L is congruent to angle T

[ In a parallelogram, opposite angles are congruent ].

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Answer:

2/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

THE ANSWER TO YOUR QUESTION IS C.

Based on the information provided, it can be concluded that the quotient 7^5/7^2 is 7^3

Indices are the power or exponent which is raised to a number or a variable. This means the indices are used to indicate how many times the number has been multiplied by itself.

By using the law of division which is when dividing indices with the same base, subtract the powers. This process is shown below:

a^m / a^n = a^m-n

So, 7^5/7^2= 7^5 - 2= 7^3

According to the above, the correct quotient of 7^5/7^2 is 7^3

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Answer: 0.75 appex

Step-by-step explanation:

The sample proportion is 0.75 if  98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.

It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.

The formula for finding the confidence interval for population standard deviation as follows:

\(\rm s\sqrt{\dfrac{n-1}{\chi^2_{\alpha/2, \ n-1}}} < \sigma < s\sqrt{\dfrac{n-1}{\chi^2_{1-\alpha/2, \ n-1}}}\)

Where s is the standard deviation.

n is the sample size.

\(\chi^2_{\alpha/2, \ n-1} and \chi^2_{1-\alpha/2, \ n-1}\) are the constant based on the Chi-Square distribution table:

α is the significance level.

σ is the confidence interval for population standard deviation.

Calculating the confidence interval for population standard deviation:

We know significance level = 1 - confidence level

From the data the margin of error = (0.78 - 0.72)/2

MOE = 0.03

98% Confidence interval for a sample proportion:

n - 0.03 = 0.72

n + 0.03 = 0.78

The interval is (0.72, 0.78)

The sample proportion = 0.75

Thus, the sample proportion is 0.75 if  98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.

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Answer:

I think it's false.

In mathematics, a function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set.

6 has a relation to 5 and 10.

Answer:

No it's not a function

Step-by-step explanation:

Answer:

use this equation: GPE=mgh

Step-by-step explanation: