Josiah has a job washing cars. He earns $35 for each car he washes. On Monday, he washed 7 cars. On Tuesday, he forgot to count how many cars he washed. He earned $560 for the two days. Josiah wants to find how many cars he washed on Tuesday.
Write the equation that Josiah can use for the situation above. (Use the variable x)
How many cars did Josiah wash on Tuesday?
( I know that the answer would be X=9 but how do I write the equation.)

Answer:

The formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].

Step-by-step explanation:

Answer:

12x+4

Step-by-step explanation:

Multiply the numbers:

-2 x 3 x -7 = 42

The the letters x time x = x^2

Y x y = y^2

Now combine for final answer:

42x^2y^2

35/864 is the probability that the same color is recorded both times .

How does probability explain work?

7/12*1/2 = 7/24

red marbles =  5/12*1/3 ⇒ 5/36

the probability =  7/24*5/36 ⇒ 35/864

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Answer: The estimated number of robins in the population is 550

Step-by-step explanation: To estimate the population of robins, we will use the Mark-Recapture technique:

1) Capture a small number of individuals, mark them (with tags or other harmless identification) and release them;

2) After a period of time, catch another group and count the ones who have the mark;

3) Estimate the population using:

\(N=\frac{M*C}{R}\)

where

N is the estimate of individuals in the population

M number of individuals marked

C is the total number of individuals captured the second time

R is the number of individuals with the mark recaptured

For the population of robins:

\(N=\frac{55*300}{30}\)

\(N=\frac{16500}{30}\)

N = 550

The best estimate for the robin population is 550.

Answer:

y=2x+1

Step-by-step explanation:

Y intercept is 1 and slope is 2/1

In a triangle one side that lies on an extended line segment,  statement about x is true, x = 62 because 147−85=62 and 85 + 62 = 147. So Option B is correct

In mathematics, the triangle is a type of polygon which has three sides and three vertices. the sum of all the interior angles of the triangle is 180°

Given that,

A triangle, which has one interior angle 85° and one exterior angle 147°

Another exterior angle x = ?

It is already known that,

Sum of complementary angles are 180

So,

⇒  Y + 147 = 180

⇒  Y  = 180 - 147

⇒  Y = 33

sum of all the interior angles of the triangle is 180°

X + Y + 85 = 180

X = 180 - 85 - 33

X = 62

Hence, the value of x is 62

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on solving the provided question we can say that A larder equity multiplier indicates a greater reliance on debt financing.

Along with addition, subtraction, and division, multiplication is one of the four arithmetic operations. Multiplication in math refers to regularly adding groups of the same size. The formula for multiplication is multiplicand multiplier Equals product. Specifically, multiplicand: First number (factor). divider:

A financial ratio called the equity multiplier gauges how much debt is being used to fund a company's assets in comparison to its owners' equity. It is determined by dividing the total assets by the entire equity of the organization.

Total Assets / Total Equity is the equity multiplier.

A larder equity multiplier indicates a greater reliance on debt financing. The equity multiplier measures the proportion of a company's assets that are funded by debt. Analysts and investors frequently use it to assess a company's financial leverage and risk profile since businesses with higher debt levels may be more susceptible to changes in interest rates, the state of the economy, or other external variables.

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(a) P(Z < 1.29) = 0.90147
(b) P(Z < 2.7) = 0.99653
(c) P(Z > 1.45) = 0.07214
(d) P(Z > -2.15) = 0.98317
(e) P(-2.34 < Z < 1.76) = 0.89681
To find these probabilities, you will need to consult a standard normal distribution table, also known as a Z-table. This table lists the cumulative probabilities of the standard normal random variable Z up to a given value.

(a) P(Z < 1.29) = Look up the value 1.29 in the Z-table, which is 0.90147.

(b) P(Z < 2.7) = Look up the value 2.7 in the Z-table, which is 0.99653.

(c) P(Z > 1.45) = 1 - P(Z < 1.45). Look up the value 1.45 in the Z-table, which is 0.92647. Then, 1 - 0.92647 = 0.07353.

(d) P(Z > -2.15) = 1 - P(Z < -2.15). Look up the value -2.15 in the Z-table, which is 0.01578. Then, 1 - 0.01578 = 0.98422.

(e) P(-2.34 < Z < 1.76) = P(Z < 1.76) - P(Z < -2.34). Look up the values 1.76 and -2.34 in the Z-table, which are 0.96098 and 0.00943, respectively. Then, 0.96098 - 0.00943 = 0.95155.

Your answer:
(a) P(Z < 1.29) = 0.90147
(b) P(Z < 2.7) = 0.99653
(c) P(Z > 1.45) = 0.07353
(d) P(Z > -2.15) = 0.98422
(e) P(-2.34 < Z < 1.76) = 0.9515

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The probability that the sample mean will be between 298.5 to 301.5 is about 0.6827 or 68.27%.

We can use the central limit theorem to approximate the distribution of sample means to a normal distribution with a mean of the population mean (μ = 300) and a standard deviation of the population standard deviation divided by the square root of the sample size (σ/√n = 12/√64 = 1.5).

Then, we can standardize the sample mean range of 298.5 to 301.5 using the z-score formula:

z = (x - μ) / (σ / √n)

( x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size)

For the lower limit of 298.5:

z = (298.5 - 300) / (1.5) = -1

For the upper limit of 301.5:

z = (301.5 - 300) / (1.5) = 1

Using a standard normal distribution table or calculator, we can find the area under the curve between -1 and 1 to be approximately 0.6827.

Therefore, approximately 68.27% of all possible samples of size 64 from the given population will have a sample mean between 298.5 to 301.5.

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The required function is P(t)=50000 + 5000t.

In this problem we need to form the function of the population in a town.

Here it is given that the initial population of the town is 50000.

the rate at which the population increases is 5000 per year.

So, the increase for the first year will be 5000. And the population will be 55000.

Then again for the next year the growth will be 5000 and the population will be 50000 + (5000×2)

        = 60000

So we can see clearly that the population is varying with time and we can write the function as P(t)=50000 + 5000t where t is the time in years.

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Answer:

Step-by-step explanation:

if A=1/2 bh

to solve for b

2A=bh

b=2A/h

Answer:

33.6

Step-by-step explanation:

If you calculate SLE to be $25,000 and that there will be one occurrence every four years (ARO), then the ALE is $40,000.

A expected monetary decline each moment an asset is at risk is referred to as single-loss expectancy (SLE). It is a term that is most frequently used during risk analysis and attempts to assign a monetary value to each individual threat.

Quantitative risk analysis predicts the likelihood of certain risk outcomes as well as their approximate monetary cost using relevant, verifiable data.

IT professionals must consider a wide range of risks, including the following:

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In summary, the energy eigenfunction psi_4 has the greatest probability of finding the particle outside the well because it has the largest amplitude in the region |x| > a/2, as evidenced by the fact that it has a node at x=a/2.

To determine which energy eigenfunction has the greatest probability of finding the particle outside the well, we need to examine the wave function in the region |x| > a/2. Since the potential outside the well is zero, the wave function in this region can be expressed as a linear combination of the energy eigenfunctions:

ψ(x) = A1ψ1(x) + A2ψ2(x) + A3ψ3(x) + A4ψ4(x)

where A1, A2, A3, and A4 are constants determined by the boundary conditions.

To find the probability of finding the particle outside the well, we need to calculate the integral of the square of the wavefunction over the region |x| > a/2:

P = ∫(|ψ(x)|^2)dx, where the integral is taken over the region |x| > a/2.

Since we want to find the energy eigenfunction with the greatest probability of finding the particle outside the well, we need to maximize this probability, which means we need to find the energy eigenfunction with the largest amplitude in the region |x| > a/2.

From Fig. 4.4, we can see that the energy eigenfunction with the largest amplitude in the region |x| > a/2 is psi_4. Therefore, the energy eigenfunction psi_4 has the greatest probability of finding the particle outside the well. This is because psi_4 has a node at x=a/2, which means that the wavefunction is zero at this point and the particle has a higher probability of being found outside the well.

In summary, the energy eigenfunction psi_4 has the greatest probability of finding the particle outside the well because it has the largest amplitude in the region |x| > a/2, as evidenced by the fact that it has a node at x=a/2.

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Answer:

It is B.

Step-by-step explanation:

Edge2021

\(w -z =\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))\)

"The number of the form a + ib where a, b are real numbers and \(i=\sqrt{-1}\) "

"The polar form of complex number z = x + iy is \(z=r~(cos\theta+i~sin\theta)\) where \(r=\sqrt{x^{2} +y^{2} }\) and \(\theta=tan^{-1}(\frac{y}{x} )\)"

For given question,

We have been given two complex numbers in polar form.

\(w=\sqrt{2}(cos(\frac{\pi}{4} )+i~sin(\frac{\pi}{4} ))\) and \(z=2(cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} ))\)

We simplify above complex numbers.

\(w=\sqrt{2}(cos(\frac{\pi}{4} )+i~sin(\frac{\pi}{4} )) \\\\w=\sqrt{2}(\frac{1}{\sqrt{2} } +i~ \frac{1}{\sqrt{2} } ) \\\\w=1+i\)

And the second complex number is,

\(z=2(cos(\frac{\pi}{2} )+i~sin(\frac{\pi}{2} ))\\\\z=2(0+i~1)\\\\z=0+2i\)

Now if we find the value of w - z

⇒ w - z = (1 + i) - (0 + 2i)

⇒ w - z = 1 - i

Now we find the polar form of complex number.

\(r=\sqrt{1^{2} +(-1)^{2} } \\\\r=\sqrt{2}\)

And the value of \(\theta\) would be,

\(\theta=tan^{-1}(\frac{-1}{1} )\\\\\theta=tan^{-1}(-1)\\\\\theta=\frac{3\pi}{4}\)

So, w - z in the polar form would be \(1+i=\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))\)

Therefore, \(w -z =\sqrt{2}(cos(\frac{3\pi}{4} )+i~sin(\frac{3\pi}{4} ))\)

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Answer: (2,0.6)

Step-by-step explanation:

\(x+5y=5 \ \ \ \ (1)\\3x-5y=3\ \ \ (2)\\\\ Sum\ the\ equations\ (1)\ and \ (2):\\\\x+3x+0=5+3\\\\4x=8\)

Divide both parts of the equation by 4:

\(x=2\)

Substitute the value of x=2 into equation (1):

\(2+5y=5\\\\2+5y-2=5-2\\\\5y=3\)

Divide both parts of the equation by 5:

\(\displaystyle\\y=\frac{3}{5} \\\\y=0.6\)

Thus, (2,0.6)

The expression for the total number of seats in the center section is 12c² +29c - 8

From the question, we are to determine the expression for the total number of seats in the center section

From the given information,

The theater has a center seating section with 3c + 8 rows and 4c - 1 seats in each row

The number of seats in the center section is the product of 3c + 8 and 4c - 1

Thus,

Number of seats in the center section = (3c + 8)(4c -1)

Number of seats in the center section = 12c² - 3c + 32c - 8

Number of seats in the center section = 12c² +29c - 8

Hence, the expression for the total number of seats in the center section is 12c² +29c - 8

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Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

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A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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-------------

|

|

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|

|

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

Answer:

x = 3

Step-by-step explanation:

Factor using difference of cubes and set each factor equal to 0.

Answer:

x = 3

explanation:

Correct

The original price of the board game, before tax is $0.0847

The sales tax rate is given as 5.5%, which means that for every dollar spent on the board game, an additional 5.5 cents are paid as tax. Since Neal paid a total of $1.54, we need to determine how much of that amount is the tax.

To find the tax amount, we multiply the total amount paid ($1.54) by the tax rate (5.5% or 0.055). Mathematically, we can represent this calculation as:

Tax amount = Total amount paid * Tax rate

Tax amount = $1.54 * 0.055 = 0.0847

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Answer:

-(m+2)(m^2+16)

Step-by-step explanation:

Answer:9m

Step-by-step explanaexplanationtion:he is below sea level: 4 +5 = 9(m)

Answer:

9 meters

Step-by-step explanation:

If they are already 4 and they descend 5 more, 4+5 = 9

The correct statement is Most of the songs were between 3 minutes and 3.8 minutes long.

Based on the given information from the graph, we can determine the following:

The graph shows an upward trend from 2.8 to 3.4 on the horizontal axis.

Then, there is a downward trend from 3.4 to 4 on the horizontal axis.

From this, we can conclude that most of the songs played during the one-hour interval were between 3 minutes and 3.8 minutes long. This is because the upward trend indicates an increase in length from 2.8 to 3.4, and the subsequent downward trend suggests a decrease in length from 3.4 to 4.

Therefore, the correct statement is:

Most of the songs were between 3 minutes and 3.8 minutes long.

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Answer:

A

Step-by-step explanation:

Answer:

Volume of the cylinder is 1521π in³

Step-by-step explanation:

Hello,

To find the volume of a cylinder, we need the know the formula used for calculating it.

Volume of cylinder = πr²h

r = radius

h = height

Data,

Radius = 13in

Height = 9in

Volume of a cylinder = πr²h

Now we need to substitute the values into the formula

Volume of a cylinder = π × 13² × 9

Volume of a cylinder = 169 × 9π

Volume of a cylinder = 1521π in³

Therefore the volume of the cylinder is 1521π in³

Answer:

1521

Step-by-step explanation:

Answer:

im pretty sure its 30

Step-by-step explanation:

Answer:

1) The windsurfer is approximately 580 ft from each lifeguard stand.

2) The distance between the Earth and Mercury is approximately 61 million miles.

Step-by-step explanation:

The image other two situations described is presented in the attached image to this answer.

1) From the attached image, the windsurfer forms a right angled triangle with each of the lifeguard stand and the midpoint between the two lifeguard stands.

Hence, the angle at the top of the triangle is half of 30°, 15° and the distance from the midpoint of the lifeguard stands to the lifeguard stands is 300/2 = 150 ft.

Let the required distance of the windsurfer from each of the lifeguard stands be x.

Using trigonometric relations,

Sin 15° = (150/x)

x = 150 ÷ sin 15° = 150 ÷ 0.2588

x = 579.6 ft = 580 ft to the nearest whole number

2) From the image, the Sun, Earth and Mercury form a triangle.

Let the possible distance between the Earth and Mercury be y.

Using cosine rule,

y² = 36² + 93² - (2×36×93×cos 22°)

y² = 3,736.5769098208

y = √3,736.5769098208 = 61.13 million miles = 61 million miles to the nearest million miles.

Hope this Helps!!!

Answer:

10. A dice has 6 sides each from 1-6, rolling each time can give 6 different possible results, hence the chances of rolling a 2, 3, and 5 will be 1/6 respectively.

To roll a 2, 3, and 5 in order, which are independent events,

the required probability will be

= 1/6 x 1/6 x 1/6

= 1/216

11. Using Pythagoras theorem,

8² + B² = 15²

B =√161

=12.689

13. Area of trapezoid= (upper base+ lower base)(height)/2

= (16+23)(3)/2

= 58.5 m²

Answer:

Answers:

Question #10:

Rolling a die three times gives 6 · 6 · 6 possibilities this makes 216 possibilities in total. Rolling the die in the order 2, 3, 5 is only one so the answer is: \(\frac{1}{16}\).

Question #11:

Since the triangle is a right triangle we can use the pythagorean theorem:

\(B^{2}\) + \(8^{2}\) = \(15^{2}\)

Working backwards we get that B is equal to 225 minus 64 which gets the square root of 161 or \(\sqrt{161}\).

Question #12:

First we can start with finding the area of the rectangle in the trapezoid:

3 · 16 = 48

Next the two right triangles. 21 - 16 = 5 That is the length of the additional two triangles. Dividing 5 by two gets the base of one of them, but if we don't divide it by two we will be able to solve for both at the same time:

3 · 5 = 15

\(\frac{15}{2}\) = 7.5

7.5 + 48 = 55.5