Find the surface area of the cube shown below. A. 66 cm2 B. 121 cm2 C. 726 cm2 D. 1,331 cm2

Step-by-step explanation:

12/100 I think from a while ago.

Answer:

your answer is 12/100

but as a percent, it is 1200%

Step-by-step explanation:

At the 1% level of significance, both the number of security guards (g) and the unemployment rate (u) have a significant effect on the dollar loss from theft each week (t). This is indicated by the p-values for both variables, which are both less than 0.01 (0.0012 for g and 0.0096 for u).

This means that there is less than a 1% chance that the observed relationship between these variables and the dependent variable (t) is due to chance. Therefore, we can reject the null hypothesis that there is no relationship between these variables and the dependent variable, and conclude that they have a significant effect on the dollar loss from theft each week.

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Answer: 10

Step-by-step explanation:

Adjacent angles in a parallelogram are supplementary (add up to 180), so we know that the unknown angle equals 100°, since the adjacent angle equals 80°.

So, we can set up an equation:

\(11x-10=100\\11x=110\\x=10\)

Answer:

\(x { - 5}\)

Step-by-step explanation:

You would times the 5 by the negative 1 to guve you the answer

Answer:

Step-by-step explanation:

\(( {x}^{5} ) ^{ - 1} \)

\( {x}^{ - 5} \: (as \: ({x}^{a}) ^{b} = {x}^{ab} )\)

\( \frac{1}{x ^{5} } (as \: x ^{ - 1} = \frac{1}{x} )\)

Answer:

56.549=56.5

Step-by-step explanation:

A = πr²/2 = 18 * π [in²] ≈ 56.549 [in²]

Answer:

7 4/6 - 5 5/6 = 1.83 or 1 5/6

Hope This Helps!

Answer:

hope it helps

Step-by-step explanation:

I hope u can understand

The rectangular prism boxes should be used because they will cost the company $2.50 less than using the cylindrical containers. (option A).

The first step is to determine the number of each type of box shape that would be needed for the pencils.

Number of rectangular prism boxes that would be needed = total number of pencils / capacity of the box

Number of rectangular prism boxes that would be needed = 2400 / 60 = 40 boxes

Number of cylindrical boxes that would be needed = total number of pencils / capacity of the box

Number of cylindrical boxes that would be needed = 2400 / 80 = 30

Now determine the total cost of using each type of box shape.

Total cost of using the  cylindrical boxes = 30 x 0.75 = $22.50

Total cost of using the  rectangular prism boxes  = 40 x 0.50 = $20

Difference in cost = $22.50 - $20 = $2.50

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Answer:

^^ A on edge

Step-by-step explanation:

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

Explanation:

Plug in x = 3 to find that f(x) = 3/x outputs f(x) = 1

This shows (x,y) = (3,1) is on the function curve. This means the curve has some portion of it in the upper right quadrant.

This narrows the answer choices between B and D.

Now try x = -3 to find that f(-3) = -1

So (-3,-1) is another point on the curve.

This rules out choice D, and means choice B is the final answer.

Use something like a TI83/84, Desmos, or GeoGebra to verify the answer.

The correct answer is e(x) = np. The expected value for a binomial probability distribution is given by the formula e(x) = np, where n represents the number of trials and p represents the probability of success in each trial.

The expected value is a measure of the average or mean outcome of a binomial experiment. It represents the number of successful outcomes one would expect on average over a large number of trials.

The formula e(x) = np arises from the fact that the expected value of a binomial distribution is the product of the number of trials (n) and the probability of success (p) in each trial. This is because in a binomial experiment, the probability of success remains constant for each trial.

Therefore, to calculate the expected value of a binomial probability distribution, we multiply the number of trials by the probability of success in each trial, resulting in e(x) = np.

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Using Algebraic equation, Kathy worked 22 hours at job A and 12 hours at job B, the week she made US $ 140.60.

Let's review all the information given for solving this question:

Rate per hour of Job A = US$ 6.20

Rate per hour of Job B = US$ 6.50

Earnings received by Kathy during the week = US$ 140.60

Total time worked by Kathy during the week = 22hours

Hours at job A = x

Hours at job B = 22 -x

In order to find how many hours Katy worked at each job: This is the Algebraic equation that we'll use:

6.20x + 6.50 (22 - x) = 140.60

6.20x + 143- 6.50x = 140.60

-0.3x = 140.60 - 143

-0.3x = - 2.4

    x = -(2.4)/-(0.3)

x = 14.3/0.3 = 8 (Dividing by 0.3 at both sides)

Kathy worked 8 hours at job A.

Hours at job B = 22 - x. Put x = 11 we get

Hours at job B = 22 -11

= 11

Hence, using Algebraic equation Kathy worked 22 hours at job A and 12 hours at job B, the week she made US $ 140.60.

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Mr. King should address the issue by first clarifying the concept of perimeter to his students.

He can remind them that the perimeter is the total distance around a figure, calculated by adding up the lengths of all its sides. Next, he can provide examples and demonstrate the correct method for determining the perimeter of various shapes.

Since about 80% of the students gave the correct response, Mr. King should recognize and commend their understanding. For those who provided a response of 100, he can offer additional guidance and support. It's possible that these students may have misunderstood the question, misread the measurements, or miscalculated the total.

To further enhance students' understanding, Mr. King can use visual aids or hands-on activities, such as using measuring tapes or string to measure the sides of figures. This would give students a better grasp of the concept and help them apply it to real-world situations.

Additionally, Mr. King should encourage open communication and create an environment where students feel comfortable asking questions or seeking clarification. This would help address any misconceptions and ensure all students have a strong foundation in calculating perimeter.

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Using the unit circle, we can determine the exact value of cos(315°). To do this, we need to locate the angle 315° on the unit circle and find the x-coordinate at that point. The unit circle is a circle with a radius of 1, centered at the origin (0,0) on a coordinate plane. The x-coordinate at any point on the unit circle represents the value of the cosine function at that angle.

To find the point on the unit circle for 315°, we need to convert the angle to radians. Since 1 revolution (360°) is equal to 2π radians, we can convert 315° to radians by multiplying it by π/180:

315° * π/180 = 7π/4 radians

Now, locate the angle 7π/4 radians on the unit circle. This angle falls in the third quadrant, where the x-coordinate is negative.

The x-coordinate at 7π/4 radians is -√2/2.

Therefore, the exact value of cos(315°) is -√2/2. In the given answer choices, the correct option is √2/2.

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Answer:

x = 47

Step-by-step explanation:

Because the lines are parallel, we know that some angles are the same, see the images attached. That means that A and B in the image are the same angles. So we know that angle A totals to 78 degrees. And the angle outside the triangle is 35. So the angle inside the triangle is

78 - 35 = 43.

The interior angles of a triangle add up to 180. We know that one angle is 43 and another angle is 90 because of the indicating square angle marker. That means that

43 + 90 + x = 180.

Then we can simplify the equation:

133 + x = 180⇒

x = 180 - 133⇒

x = 47

In this case, the integral evaluates to 243/5.

The exact value of the definite integral ∫(3x⁴)dx can be found using the definition of the definite integral or Theorem 4. Both methods involve finding an expression that simplifies to the exact value of the integral. In this case, the integral evaluates to 243/5.

The definite integral of ∫(3x⁴)dx can be found by using the definition of the definite integral or Theorem 4. Using the definition, we can write the integral as the limit of a sum: ∫(3x⁴)dx = lim n→∞ [3(x1⁴)Δx + 3(x2⁴)Δx + ... + 3(xn⁴)Δx], where Δx = (b-a)/n and xi = a + iΔx for i = 0, 1, ..., n. By simplifying this expression and taking the limit as n approaches infinity, we can find the exact value of the definite integral. Alternatively, Theorem 4 states that if f(x) is continuous on [a, b], then ∫(f(x))dx = [F(x)]bᵃ, where F(x) is any antiderivative of f(x). Applying this theorem, we can find an antiderivative of 3x^4, which is (3/5)x⁵, and evaluate it at the limits of integration: ∫(3x⁴)dx = [(3/5)x⁵]3⁰ = 243/5.

The exact value of the definite integral ∫(3x⁴)dx can be found using the definition of the definite integral or Theorem 4. Using the definition, we can write the integral as the limit of a sum and simplify the expression to find the exact value. Alternatively, Theorem 4 states that if f(x) is continuous on [a, b], then ∫(f(x))dx = [F(x)]bᵃ, where F(x) is any antiderivative of f(x). By finding an antiderivative of 3x⁴)and evaluating it at the limits of integration, we can obtain the exact value of the integral. In this case, the integral evaluates to 243/5.

The exact value of the definite integral ∫(3x⁴)dx can be found using the definition of the definite integral or Theorem 4. Both methods involve finding an expression that simplifies to the exact value of the integral. In this case, the integral evaluates to 243/5.

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The surface area of the pyramid is 36 + 12√109 square inches.

The surface area of a square pyramid can be calculated using the formula:

Surface Area = Base Area + (0.5 × Perimeter of Base × Slant Height)

Let us calculate the base area of the pyramid, which is the area of a square with side length b:

Base Area = b² = 6² = 36 square inches

Next, we need to calculate the slant height of the pyramid.

In a square pyramid, the slant height can be found using the Pythagorean theorem:

Slant Height = √(h² + (0.5b)²)

Plugging in the values:

Slant Height = √(10² + (0.5 × 6)²)

Slant Height = √(100 + 9

Slant Height = √109

Now, we can calculate the surface area:

Surface Area = Base Area + (0.5 × Perimeter of Base × Slant Height)

The perimeter of the base is 4 times the side length of the square base:

Perimeter of Base = 4b = 4 × 6 = 24 inches

Plugging in the values:

Surface Area = 36 + (0.5 × 24 × √109)

Surface Area = 36 + 12√109

Therefore, the surface area of the pyramid is 36 + 12√109 square inches.

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Answer:

The correct option is;

Add 4 to both sides

Explanation:

Given the equation;

To solve the equation, the first step is to add 4 to both sides of the equation;

Therefore, the correct option is;

Add 4 to both sides

Considering the two secant theorem, the measure of the far arc x is given as follows:

x = 104º.

The two secant theorem states that if two secant lines intersect outside a circle, then the measure of the angle of intersection of the two secant lines is obtained as the difference between the measure of the far arc and the measure of the near arc, divided by two.

Hence the equation to obtain the measure of the angle of intersection is given as follows:

y = (far arc - near arc)/2.

The parameters for this problem are given as follows:

Hence the measure of the far arc x is obtained as follows:

(x - 44)/2 = 30

x - 44 = 60

x = 44 + 60

x = 104º.

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Answer:the left hand side is equals to |13| which is nothing but 13 so is the right hand side.

Step-by-step explanation:

Step-by-step explanation:

Original price : $130

Discount : 35% × $130

= $45.50

sale price : $130 - $45.50

= $84.50

Answer: \(=8\frac{44}{75}\)

Answer:

Hours spent for snowboarding = 1 hour 35 minutes

Step-by-step explanation:

Total hours spent for skiing and snowboarding = 3 hours

Hours spent for skiing = 1 hours 25 minutes

How long did he spend snowboarding?

Hours spent for snowboarding = Total hours spent for skiing and snowboarding - Hours spent for skiing = 1 hours 25 minutes

= 3 hours - 1 hours 25 minutes

1 hour = 60 minutes

3 hours = 180 minutes

1 hours 25 minutes = 85 minutes

3 hours - 1 hours 25 minutes

= 180 minutes - 85 minutes

= 95 minutes

95 minutes = 1 hour 35 minutes

Hours spent for snowboarding = 1 hour 35 minutes

The difference between the t and z distributions is primarily in their shape and nature.

The t-distribution is more spread out and has heavier tails than the z-distribution, which is more symmetrical and closer to a normal distribution. This is due to the fact that the t-distribution is based on smaller sample sizes and therefore has more variability, while the z-distribution is based on larger sample sizes and has less variability.

In terms of the way,s they are the same, both the t and z distributions are used to make inferences about population parameters based on sample data. They both also have a mean of 0 and are symmetrical about the mean.

The change in the shape of the t-distribution occurs as the sample size increases. As the sample size increases, the t-distribution becomes more like the z-distribution, with less spread and thinner tails. This is because larger sample sizes result in less variability and therefore a distribution that is closer to the normal distribution. The cause of the change is the increase in sample size.

The z-distribution, on the other hand, does not change in shape as the sample size increases because it is already based on large sample sizes and therefore has less variability. So, the answer to the question "do they change in shape? if so, what causes the change? if not, why not?" is that the t-distribution does change in shape as the sample size increases, while the z-distribution does not, for the reasons explained above.

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A matrix A is similar to matrix A' when there is an invertible matrix P such that \(A' = P^{−1}AP$.\)

If P is used, one can show that A and A′ are similar. The matrix P, which is a diagonal matrix of the eigenvalues, must be calculated first. The eigenvectors must be computed after the eigenvalues are found. After that, the eigenvectors must be placed in a matrix in the order specified by P's eigenvalues.

A diagonal matrix D is produced from the eigenvectors matrix and the eigenvalues are placed in D's diagonal elements. Finally, using the above formula, A′ can be calculated.

The matrix P is used to demonstrate that A and A′ are similar. We first determine the eigenvectors and eigenvalues of matrix P. After that, the eigenvectors are positioned in a matrix in accordance with P's eigenvalues.

D, a diagonal matrix, is produced from the eigenvectors matrix, and the eigenvalues are placed in its diagonal elements.

A′ can be computed using the given formula after matrix D and P are computed. As a result, it has been shown that A and A′ are similar. Two matrices A and A' are similar when there is an invertible matrix P such that A' = P^{-1} A P. If P is given, A and A' can be shown to be similar. First, we need to calculate the matrix P which is a diagonal matrix of eigenvalues.

Once we have found the eigenvalues, we need to compute the eigenvectors. The eigenvectors are placed in a matrix in the order specified by the eigenvalues of P.

A diagonal matrix D is then formed from the eigenvectors matrix, and the eigenvalues are placed in the diagonal elements of D. Finally, A' can be computed using the formula given above.

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Answer:

k=1

Step-by-step explanation:

so FG and FE are equal meaning same magnitude

formula for magnitude is √{x2-x1}+{y2-y1}

(the square root is for all of it)

so use line FG since you have both points

you get √7 as magnitude

then apply it to FE

√7=√(4-0)+(4-k)

you can square both sides to remove the root and you get k=1

(when calculating magnitude the value is always absolute no regard to signs)

To change to spherical coordinates, we can use the following formula:

x = ρ sin φ cos θ

y = ρ sin φ sin θ

z = ρ cos φ

We also note that the region of integration is a hemisphere with radius 3, and that the integrand contains x^2z+y^2z+z^3. Since we are integrating over a hemisphere, the bounds of ρ can be from 0 to 3, φ can be from 0 to π/2, and θ can be from 0 to 2π.

Next, we need to express the integrand in terms of ρ, φ, and θ. Substituting x, y, and z, we get:

x^2z + y^2z + z^3 = ρ^4 sin^2 φ cos^2 θ (ρ cos φ) + ρ^4 sin^2 φ sin^2 θ (ρ cos φ) + (ρ cos φ)^3

Simplifying, we get:

x^2z + y^2z + z^3 = ρ^5 cos^2 φ + ρ^3 cos^3 φ

Thus, the new integral is:

∫0^(2π) ∫0^(π/2) ∫0^3 (ρ^5 cos^2 φ + ρ^3 cos^3 φ) ρ^2 sin φ dρ dφ dθ

Integrating with respect to ρ, we get:

∫0^(2π) ∫0^(π/2) [ 1/6 ρ^6 cos^2 φ + 1/4 ρ^4 cos^3 φ ]_|ρ=0^3 sin φ dφ dθ

Simplifying and integrating with respect to φ, we get:

∫0^(2π) [ 9/5 sin^5 φ - 27/14 sin^7 φ ]_|φ=0^(π/2) dθ

Evaluating the limits, we get:

∫0^(2π) [ 9/5 - 27/14 ] dθ

Finally, evaluating the integral, we get:

∫0^(2π) [ 33/35 ] dθ = 66π/35

Therefore, the value of the integral after changing to spherical coordinates is 66π/35.