if there are 120 7th graders in 6 classes . find the unit rate

Answer: 136,000,000 ( hope it helped <3 )

Step-by-step explanation:

Answer: n = 16

Solve for n by simplifying both sides of the equation, then isolating the variable.

Step-by-step explanation:

Simplify - 2. \(( -\frac{1}{2} ) . n = -2 . -8\)

Cancel the common factor of 2.

- 1 . - 1 . n = 2 . - 8

Multiply - 1 by - 1.

1 . n = -2 . -8

Multiply n by - 1.

n = - 2 . -8

Multiply - 2 by -8.

n = -2 . -8

Multiply -2 by -8.

n = 16

Hope this helped you!!

Answer:

0.008791747

Step-by-step explanation:  

0.000879  

x       1.028

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

         0167

       01580

   000000

08790000

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

  8791747

0.000879 and 1.028 have NINE decimal places total, so add NINE decimal places from the LEFT to the above answer.

Final answer: 0.008791747

I hope this helps!

The range of the function m is [1, ∞). Thus, B is correct option.

The dοmain οf a functiοn is the cοllectiοn οf values that can be plugged intο it. This set represents the x values in a functiοn like f. (x). A functiοn's range is the set οf values that the functiοn can take οn. This is the set οf values returned by the functiοn when we enter an x value.

Tο determine the range οf functiοn m, we must first determine the set οf all pοssible functiοn οutput values.

Looking at the function graph, we can see that the lowest point is (3, 1) and the highest point is (∞, ∞).

As a result, the function m has a range of [1, ∞).

We can write: in interval notation:

m ∈ [1, ∞) range.

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Answer:

2(w+3)

Step-by-step explanation:

2(w+3) or 2w+6

Answer:

See below for explanation

Step-by-step explanation:

The area of an isosceles triangle is \(A=\frac{1}{2}bh\), so let's write the base as an equation of y:

\(\displaystyle 9x^2+4y^2=36\\\\4y^2=36-9x^2\\\\y^2=9-\frac{9}{4}x^2\\\\y=\pm\sqrt{9-\frac{9}{4}x^2\)

As you can see, our ellipse consists of two parts, so the hypotenuse of each cross-section will be \(\displaystyle 2\sqrt{9-\frac{9}{4}x^2\), and each height will be \(\displaystyle \sqrt{9-\frac{9}{4}x^2}\).

Hence, the area function for our cross-sections are:

\(\displaystyle A(x)=\frac{1}{2}bh=\frac{1}{2}\cdot2\sqrt{9-\frac{9}{4}x^2}\cdot\sqrt{9-\frac{9}{4}x^2}=9-\frac{9}{4}x^2\)

Since we'll be integrating with respect to x because the cross-sections are perpendicular to the x-axis, then our bounds will be from -2 to 2 to find the volume:

\(\displaystyle V=\int^2_{-2}\biggr(9-\frac{9}{4}x^2\biggr)\,dx\\\\V=9x-\frac{3}{4}x^3\biggr|^2_{-2}\\\\V=\biggr(9(2)-\frac{3}{4}(2)^3\biggr)-\biggr(9(-2)-\frac{3}{4}(-2)^3\biggr)\\\\V=\biggr(18-\frac{3}{4}(8)\biggr)-\biggr(-18-\frac{3}{4}(-8)\biggr)\\\\V=(18-6)-(-18+6)\\\\V=12-(-12)\\\\V=12+12\\\\V=24\)

Therefore, this explanation confirms that the correct volume is 24!

Answer: The radius of the circle is 5 3/8 inches.

Step-by-step explanation:

The radius of the circle is half of the diameter. We can start by converting the mixed number diameter to an improper fraction:

10 3/4 = (10 × 4 + 3)/4 = 43/4

So, the diameter of the circle is 43/4 inches. The radius is half of this, which we can find by dividing by 2:

r = (43/4) ÷ 2 = 43/8

To simplify the fraction, we can divide the numerator and denominator by their greatest common factor (GCF), which is 1:

r = 43/8 = 5 3/8

Therefore, the radius of the circle is 5 3/8 inches.

Answer:5 3/4

Step-by-step explanation:

10 3/4 * 1/2

1/2 * 43/4 = 43/8

8/43=5 3/4

Answer:

The answer is C.

Step-by-step explanation:

You have to apply Distributive Law :

\(a(m + n) = am + an\)

So for this question :

\((x + 9)(x + 12) \)

\( = x(x) + x(12) + 9(x) + 9(12)\)

\( = {x}^{2} + 12x + 9x + 108\)

\( = {x}^{2} + 21x + 108\)

That is one of the hardest equations in the world, please don't post questions that are impossible to answer or that will be considered spam.

The final answer for the surface area of the prism is 32 m^2 + 16h m^2.

To find the surface area of the prism, we need to calculate the area of each face and sum them up.

The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:

Area of square face = side length^2 = 4^2 = 16 m^2

Since there are two square faces, the total area of the square faces is:

Total area of square faces = \(2 * 16 = 32 m^2\)

The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:

Area of rectangular face = length * width = \(4 * h = 4h m^2\)

Since there are four rectangular faces, the total area of the rectangular faces is:

Total area of rectangular faces = \(4 * 4h = 16h m^2\)

Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:

Surface area of prism = Total area of square faces + Total area of rectangular faces

                          = \(32 m^2 + 16h m^2\)

                          = \(32 m^2 + 16h m^2\)

The answer for the surface area of the prism is 32 m^2 + 16h m^2.

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Answer: 48

Step-by-step explanation:

Moshde charges 48 dollars for haircut + style

She loses 1100 dollars over expenses.

If she wants to get a revenue of 1168 dollars:

$1168 + $1100 = $2268

She has to make $2268 dollars

2268/48 = 47.25

Therefore, 47.25 haircuts are needed.

Of course, this is silly and ridiculous. How can you give fractions of a haircut, therefore, we round UP for 48 haircuts at minimum.

I hope this helps :)

BB76

Step-by-step explanation:

Based on the provided information, I would recommend B&K Real Estate Company to choose the Silver Package with a sample size of 1,000 listings. This option strikes a balance between cost and accuracy, providing a reasonable margin of error while minimizing the cost for the service.

Confidence Statement:

"I am 95% confident that the true mean of the Northeast house listing prices falls within the estimated range, based on a sample size of 1,000 listings."

Factors Considered:

Cost: The cost for the Silver Package is $10,000, which is lower than the Gold Package but higher than the Bronze Package. B&K can achieve a reasonably accurate estimate of the mean listing price at a lower cost compared to the Gold Package.

Margin of Error: The margin of error for the Silver Package is $7,750. While it is larger than the Gold Package, it is significantly smaller than the Bronze Package. The margin of error represents the range within which the true mean of listing prices is likely to fall. With a smaller margin of error, the estimated mean is more precise, providing a better understanding of the Northeast home prices compared to the Bronze Package.

Sample Size: The sample size of 1,000 listings in the Silver Package is larger than the Bronze Package but smaller than the Gold Package. A larger sample size generally leads to a more accurate estimate of the population mean. Although the sample size in the Gold Package is larger, the incremental gain in accuracy is not significant enough to justify the higher cost.

Response to Peers:

Response 1:

If the agents prefer a higher confidence interval, such as 99%, compared to the management's 95% confidence interval, it would require a larger sample size to achieve the desired accuracy. This could result in increased costs for data collection. However, a higher confidence interval provides greater confidence in the estimated mean listing price, giving the agents more assurance when making decisions. The advantage is a higher level of confidence, but the disadvantage is the increased cost associated with a larger sample size.

Response 2:

If the agents prefer a lower confidence interval, such as 90%, compared to the management's 95% confidence interval, it would require a smaller sample size to achieve the desired accuracy. This could reduce the cost for data collection. However, a lower confidence interval means a wider margin of error and less certainty in the estimated mean listing price. The advantage is the cost savings, but the disadvantage is a lower level of confidence in the estimate, potentially leading to more uncertainty for the agents when making decisions

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

71

Step-by-step explanation:)

Answer: 18

Step-by-step explanation: You would substitute x for 3 in the expression. This would equal 21-3, or 18 when simplified

Dilation and reflection creates sequence of transformations creates a similar but not congruent triangle.

Extra's: translations, reflections and rotations produce congruent triangles.

The answer to the equation is \(n=5\)

First, you must add 0.8n on both sides.

\(0.6n+7=10\)

Then, subtract 7 from both sides.

\(0.6n=3\)

Finally, divide both sides by 0.6

\(n=5\)

The rate of decrease of the weather in degrees per hour is 2 degrees.

The time elapsed is from 5:00 PM to 9:00 PM, which is 4 hours.

The temperature dropped from 20 degrees to 12 degrees, which is a change of -8 degrees.

Therefore, the rate of decrease of the weather in degrees per hour is:

-8 degrees / 4 hours = -2 degrees per hour

A measurement of how quickly the temperature changes over time is the rate of change. Depending on the time frame being considered, it is typically represented in units of degrees per hour, degrees per minute, or degrees per second. Depending on whether the temperature is rising or falling, the rate of temperature change can be either positive or negative. The temperature rises when the rate of change is positive; it falls when the rate of change is negative.

Many variables, including the amount of sunlight, wind speed, humidity, and the time of day, have an impact on the pace of temperature change. Generally speaking, temperature varies more quickly during the day than it does at night, and it varies more quickly in places with less foliage and more exposed ground. Human activity, such as the emission of greenhouse gases into the atmosphere, which can eventually lead to an increase in global temperatures, can also have an impact on the pace of change of temperature.

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Answer:

-1/3

Step-by-step explanation:

I hope this helps!

The correct statement is about 95% of the shoppers have between a 23.6% and a 28.2% chance of purchasing cookies.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.

95% confidence interval for the proportion of all shoppers at a large grocery store who purchase cookies here is given to be (0.236, 0.282).

As the minimum limit value here is 0.236 and max limit value is 0.282, therefore the inferences here are given as:

At least 23.6% of the shoppers purchase cookies.

At most 28.2% of the shoppers purchase cookies

Therefore, the correct answer is A.

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Answer:

what's that

Step-by-step explanation:

The surface area of the right rectangular prism is given as follows:

358 m².

The surface area of a prism is obtained with the sum of the areas of each part of the prism.

The parts that compose the prism are given as follows:

The area of a rectangle is given by the multiplication of each of the dimensions of the rectangle.

Hence the surface area of the prism is calculated as follows:

S = 2 x (7 x 12 + 5 x 12 + 5 x 7) = 358 m².

(multiplication by two due to the two rectangles with each of the dimensions).

The prism is given by the image shown at the end of the answer.

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The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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Step-by-step explanation:

I tried. if I got this wrong I might need to go back to kindergarten

Answer:

if marip has a piece of string. He cuts off six-eights of it's length. how much is left it's 2

Answer:

Step-by-step explanation:

If you would like to know how much water did Elena drink each practice if she drank the same amount each time, you can calculate this using the following steps:

5 bottles of water ... 7 practices

x bottles of water = ? ... 1 practice

5 * 1 = 7 * x

5 = 7 * x /7

x = 5/7 bottle of water

The correct result would be 5/7 bottle of water.

The probability of landing on the red shaded circle is 6/18

Probability simply measures the chances at which an event could occur in a sample or population.

Mathematically, Probability is calculated thus:

Here ,

P(red circle ) = 6/18

Therefore, the probability is 6/18

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Answer:

=

Step-by-step explanation:

Students use the least squares regression line to make predictions. ... Example 1 (2 minutes): Using a Line to Describe a Relationship ... the model given in the student lesson to predict a man's height using a shoe length of ... Below is a scatter plot of the data with two linear models, ... in Exercise 3 that represents this man