A kids pool has a small opening through which water sometimes leaked out water was poured into the pool from time to time

Answer: 28 inches

Step by step explaination:  

First: You do inches over feet- In/Ft

Second: you do 4/60=x/420

Next: You do 60x=1680

                       60     60

Last- Your answer is 28 inches if you divide 1680 and 60.

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Answer:

\(\huge\boxed{\sf 28\ inches}\)

Step-by-step explanation:

Given that:

Height of the building = 420 feet

According to the scale,

4 inches = 60 feet

×7                ×7         [Multiplying 7 to both sides]

28 inches = 420 feet

So, Height of scale model in inches is 28 inches.

\(\rule[225]{225}{2}\)

Answer:

see below

Step-by-step explanation:

4(5 - 3x)

The first step is to multiply the 4 by each of the terms inside the parentheses

4*5 - 4*3x

20 -12x

Now subtract the products

20-12x

Answer:

3

Step-by-step explanation:

Find the prime factorization of 9

9 = 3 × 3

Find the prime factorization of 33

33 = 3 × 11

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 3

Answer:

I believe its A

Step-by-step explanation:

D. h(t) = -16(t - 5)² + 403 could be used to model this situation.

A baseball is hit from an initial height of 3 feet.

The baseball reaches a maximum height of 403 feet.

Here, h(t) indicates the height in feet after t seconds.

At the start, t = 0 & Initial height = 3 feet ,i.e. h(0) = 3

We have to verify options by putting t = 0

A.  h(t) = -16(t - 403)² + 3

So, h(0) = -16(0-403)² + 3 = -16(-403)² +3 = -2598544+3 = -2598541

B.  h(t) = -16(t - 5)² + 3

So, h(0) = -16(0-5)² + 3 = -16(-5)² + 3 = -400+3 = -397

C.  h(t) = -16(t - 3)² + 403

So, h(0) = -16(0-3)² + 403 = -16(-3)² + 403 = -144 + 403 = -259

D.  h(t) = -16(t - 5)² + 403

So, h(0) = -16(0-5)² + 403 = -16(-5)² + 403 = -400 + 403 = 3

Hence, in this function h(0) = 3 verified.

Therefore h(t) = -16(t - 5)² + 403 is the required function.

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Answer:

\(LM = 35cm\) and \(m \angle H = 98^o\)

Step-by-step explanation:

For this problem, it is critical to understand what the opening statement means.

\(Quadrilateral GHJK \cong quadrilateral LMNP\) means that each pair of corresponding sides between shapes are congruent (they have equal length), and each pair of corresponding angles between shapes are congruent (they have equal measure -- or same number of degrees when measured with a protractor).

So, it's important to be able to determine which pairs are the corresponding parts.  When the congruence is given like \(Quadrilateral GHJK \cong quadrilateral LMNP\)  the letters are in a particular order.  That order explains the order in which the shape is drawn out, and they put them in the same order for both shapes to mean that those are the letters that correspond with each other.

So, the first letter of each are a corresponding pair, the second letter of each are a corresponding pair, ... etc

In other words, point G and L correspond, point H and K correspond, etc.

To find the corresponding sides, the sides for these shapes are defined by a two adjacent letters (two letters next to each other in the name, or ... as it wraps around the end of the name... the first and last letter).

\(\overline{GH} \cong \overline{LM}\\ \overline{HJ} \cong \overline{MN} \\\overline{JK} \cong \overline{NP}\\\overline{KG} \cong \overline{PL}\)

While all of that is true, we only have a few sides with any information in them.  Notice that side GH in the first shape, and sides PL & LM in the second shape are the only sides with anything written.  So, we just need to determine which sides correspond (and thus, are congruent), so that we know how to move forward.  Looking at the list of congruent sides above, we see that  \(\overline{GH} \cong \overline{LM}\)

Since the sides (line segments) are congruent, their lengths are equal

\(GH = LM\)

...so we can substitute the expressions for each angle into the equation and solve for the unknown value "x"

\(GH = LM\\(4x+3)=(6x-13)\)

\((4x+3)+13=(6x-13)+13\\4x+16=6x\)

\((4x+16)-4x=(6x)-4x\\16=2x\)

divide both sides by 2

\(\frac{16}{2}=\frac{2x}{2}\\8=x\)

So, to find the length, LM, we just need to look back at the expression for LM:

\(LM = 6x-13\\LM = 6(8)-13\\LM = 48-13\\LM = 35\)

remembering that the lengths are measured in centimeters (as indicated on the diagram): \(LM = 35cm\)

To find the corresponding angles, the angles for these shapes are defined by a single letter, so since the points correspond in order, the names of the shapes tell which angles are congruent.

\(\angle G \cong \angle L\\\angle H \cong \angle M\\\angle J \cong \angle N\\\angle K \cong \angle P\)

While all of that is true, we only have a few angles with any information in them.  Notice that ∠H in the first shape, and ∠L & ∠M in the second shape are the only angles with anything written.  So, we just need to determine which angles correspond (and thus, are congruent), so that we know how to move forward.  Looking at the list of congruent angles above, we see that  

\(\angle H \cong \angle M\)

Since the angles are congruent, their measures are equal

\(m\angle H = m\angle M\)

...so we can substitute the expressions for each angle into the equation and solve for the unknown value "y"

\(m\angle H = m\angle M\\(9y+17)=(11y-1)\)

subtract 1 from both sides

\((9y+17)+1=(11y-1)+1\\9y+18=11y\)

subtract 9y from both sides

\(\\(9y+18)-9y=(11y)-9y\\18=2y\)

divide both sides by 2

\(\frac{18}{2}=\frac{2y}{2}\\9=y\)

So, to find angle H, we just need to look back at the expression for the measure of angle H:

\(m\angle H = 9y+17\\m\angle H = 9(9)+17\\m\angle H = 81+17\\m\angle H = 98\)

remembering that the angle is measured in degrees (as indicated on the diagram): \(m \angle H = 98^o\)

Answer:

2995

Step-by-step explanation:

volume is 48^3

theres 62.4 pounds per square ft

Answer:

Step-by-step explanation:

m<30

Total stockholders’ equity 7,800,000

Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000

Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000

Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000

Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000

To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.

The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.

Calculations:Opening balance of common stock = $100,000

Opening balance of additional paid-in capital = $4,100,000

Opening balance of retained earnings = $3,000,000

Net Income for the year ended December 31, 2012 = $800,000

Retained earnings (Opening Balance) = $3,000,000

Add: Net Income for the year ended December 31, 2012 = $800,000

Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000

Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000

Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000

Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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The required number of pounds in 40 kilogram is 88.1848 pounds.

A kilogram is a unit of mass in the metric system, while a pound is a unit of mass in the imperial system. To convert kilograms to pounds, one can use the conversion factor of 2.20462. This means that for every kilogram of mass, there are 2.20462 pounds of mass.

Therefore, 40 kilograms is equal to

40 x 2.20462 = 88.1848 pounds.

To put it in a simpler way, 40 kilograms is approximately equal to 88 pounds. It's important to note that this conversion factor is an approximation and the actual conversion factor might vary slightly based on the precision required.

In everyday use, it's accurate enough for most purposes.

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Answer:

the angle that has the same measure as /2 is A

Answer:

Step-by-step explanation:

if you see a person that sends you a sketchy link dont click it is an ip grabber.

Answer:

the probability of you getting a green ball is high

Answer:

\( \frac{57.5}{2.875} = 20\)

Answer b

Because -2-5 adds -5 to it equals -7

If you have any questions about answer just ask

And please give brainliest

Answer:

no solutions

Step-by-step explanation:

3(x + 9) + 6x = 9x - 27

Distribute

3x+27 +6x = 9x -27

Combine like terms

9x +27 = 9x -27

Subtract 9x from each side

27 = -27

This is never true so there are no solutions

two rectangles to be similar, their sides have to be proportional (form equal ratios). The ratio of the length should equal the ratio of the width.

thus,

Therefore x=20.

Answer:

6 3/10

Step-by-step explanation:

3 1/2 = 7/2

1 4/5 = 9/5

7/2 x 9/5 = 7x9/2x5 = 63/10 = 6 3/10

Based on the given information in Exhibit Cape May Realty, the question is asking to test the significance of the slope coefficient at a significance level of a = 0.10. The p-value is less than 0.10, which means that the null hypothesis can be rejected. This leads to the conclusion that the population slope coefficient is different from zero. Therefore, option C is the correct answer.

This means that there is a statistically significant relationship between square footage and property rental rate. As the slope coefficient is different from zero, it indicates that there is a positive or negative relationship between the two variables. However, it does not necessarily mean that there is a causal relationship. There could be other factors that influence the rental rate besides square footage.

In summary, the statistical analysis conducted on Exhibit Cape May Realty indicates that there is a significant relationship between square footage and property rental rate. Therefore, the population slope coefficient is different from zero. It is important to note that this only implies a correlation, not necessarily a causal relationship.

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Answer:

A C and E

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

In order to simplify and verify trig identities, one needs to use the rules of trigonometry and algebra to manipulate the equation until it is in a simplified form.

The most common trig identities to remember include the Pythagorean identity, reciprocal identities, quotient identities, and sum and difference identities. When simplifying an equation, it is important to remember to include the negative sign when necessary and to factor out any common factors.

After simplifying, it is important to verify the equation. This can be done by plugging in known values for the variables and verifying that the equation is true. By utilizing the rules of trigonometry and algebra, one can simplify and verify trig identities. This process is essential for working with trigonometric functions.

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Answer:  \(2\frac{1}{4}\)

This is the mixed number 2 & 1/4

whole part = 2

fractional part = 1/4

=======================================================

Explanation:

Each tickmark represents \(\frac{1}{4}\)

If you count the spaces between points F and A, you should count out exactly 9 spaces as shown in the diagram below.

We'll multiply that value 9 by \(\frac{1}{4}\) to get our final answer.

\(9*\frac{1}{4} = \frac{9}{4}\)

\(\frac{9}{4} = \frac{8+1}{4}\\\\\frac{9}{4} = \frac{8}{4}+\frac{1}{4}\\\\\frac{9}{4} = 2+\frac{1}{4}\\\\\frac{9}{4} = 2 \frac{1}{4}\\\\\)

The result we get is a mixed number 2 & 1/4, meaning the whole part is 2 and the fractional part is \(\frac{1}{4}\)

Answer:

9/4 = 2 1/4

Step-by-step explanation:

Answer:

option 2 : 754 in³

Step-by-step explanation:

diameter = 8 => radius, r = 4 inches , h = 15 inches

\(volume = \pi r^2 h\)

          \(=\pi \times 4^2 \times 15 \\\\=753.9 \ in^3\\\\= 754 \ in^3\)

Step-by-step explanation:

volume of cylinder = πr²h

its yr ans.

hope it helps

Answer:

15%

Step-by-step explanation:

There is 26 students 13 are females of those 13 nine of them wear glasses if you subtract 13 minus 9 you are left with 4 and if you divide that 4 by 26 you get the percentage of girls without glasses which is 15%

The total cost of repayment over 5 years is $23,300.

A loan repayment refers to the act of paying back money previously borrowed from a lender.

To get total cost of repayment, we must principal amount, the interest rate and the duration of the loan.

The formula to get total cost of repayment is given by \(Total Cost of Repayment = Principal + Interest\)

Interest = Principal * Interest Rate * Time

Given:

Principal amount is $20,000

Interest rate is 3.3%

Duration is 5 years.

Interest = $20,000 * 0.033 * 5

Interest = $3,300

Total Cost of Repayment = Principal + Interest

= $20,000 + $3,300

= $23,300.

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The patient will pay $452.20 in full today after applying the 15% discount.

If the patient receives a 15% discount for a visit to the healthcare provider and the total charge for the service is $532.00, the patient will pay 100% - 15% = 85% of the total charge.

To calculate the amount the patient will pay in full today, we need to find 85% of $532.00.

85% of $532.00 can be calculated as:

(85/100) * $532.00 = $452.20

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The half-life of this substance that weighs 32 mg and one year later, the sample weighs 25.5 mg will be 3.053 year.

The duration it takes for a given quantity to fall to half of its initial value is known as the half-life. The phrase can be used to refer to other types of decay, whether or not they are exponential, but it is most frequently used in connection with atoms going through radioactive decay. The amount of time needed for the reactant concentration to drop to half its initial value is known as the half-life of a reaction.

Here,

The initial weight of radioactive substance=32 mg

The final weight of radioactive substance=25.5 mg

Duration=1 year

The formula,

N(t)=N(0)*1/2^(t/t₁/₂)

25.5=32*1/2^(1/t₁/₂)

half-life, t₁/₂ = 3.053 year

The half-life of this substance, which weighs 32 mg, will be 3.053 years when the sample weighs 25.5 mg.

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The equation of the function is y = 3 * sin[(1/2)(x - π/4)] - 2 which is described by characteristics having a sine curve of  4π amplitude 3, the phase shift of π/4, and a vertical translation down 2 units.

To write the equation for the sine curve with a period of 4π, an amplitude of 3, a left phase shift of π/4, and a vertical translation down 2 units, we'll use the general sine function equation:

y = A * sin(B(x - C)) + D

Where A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical translation.

1. Amplitude (A) = 3
2. Period = 4π; The formula to find the frequency (B) is B = 2π / Period.

Therefore, B = 2π / 4π = 1/2.
3. Phase shift (C) = π/4 (left shift is positive)
4. Vertical translation (D) = -2 (down 2 units)

Now, plugging these values into the equation:

y = 3 * sin((1/2)(x - π/4)) - 2

So, the equation of the function is y = 3 * sin[(1/2)(x - π/4)] - 2.

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Answer:

No, No, Yes, No, Yes, Yes

Step-by-step explanation:

A graph is a function if it passes the vertical line test (in other words, every vertical line that can be drawn intersects the graph at no more than one point).

This is because for a function, each input must map onto no more than one output.

We want to find both inequations graph

We find their limit line just by replacing ≤ or ≥ signs by "=":

1). -2x + 4y ≥ 8 → -2x + 4y = 8

2). 5x + 3y ≤ 9 → 5x + 3y = 9

We graph both lines:

For the first line [red line]

when x = 0 → -2(0) + 4y = 8 → y = 8/4 → y = 2

when y = 0 → -2x + 4(0) = 8 → -2x = 8 → x = -4

For the second line [blue line]

when x = 0 → 5(0) + 3y = 9 → 3y = 9 → y = 3

when y = 0 → 5x + 3(0) = 9 → 5x = 9 → x = 9/5

We locate both points for both lines and then we join them:

We know that when we use > and < signs, lines are broken

when we use ≤ or ≥ signs, lines are solid.

In this case we have that both lines are solid.

We know that both lines shows two possible shaded regions. We are going to check if the point (0, 0) is on their set of solutions. We replace x = 0 and y = 0, in order to find this out:

1). -2x + 4y ≥ 8 → -2(0) + 4(0) ≥ 8 → 0 + 0 ≥ 8 →0 ≥ 8

Since this is not true, the red shaded region should not pass across (0, 0):

2). 5x + 3y ≤ 9 → 5(0) + 3(0) ≤ 9 → 0 + 0 ≤ 9 → 0 ≤ 9

Since this IS true, the blue shaded region should pass across (0, 0):