What is the surface area of a 5 cm cube?

rude!we dont us such words here change it please

Answer:

Of the 5000​ surveys, 14​% were returned. This response rate APPEARS to be low.

Step-by-step explanation:

Given:

Total sample collected = 5000

Survey returned = 700

i) What percentage of the 5000 surveys were​ returned?

To find percentage returned, we have:

\( = \frac{700}{5000} * 100 = 14 percent \)

Percentage returned = 14%

ii) Does that response rate appear to be​ low?

Yes, the response is significantly low as only 14% is returned out of expected 100%

iii) In​ general, what is a problem with a very low response​ rate?

The problem with in low response rate in general is that it causes the result to be biased as biased samples of those interested in a particular aspect may have been gotten.

Therefore, of the 5000​ surveys, 14​% were returned. This response rate APPEARS to be low.

Thus we only take the positive root:x = 27/8 = 3.375Answer: 3.375 feet.

The problem states that a rectangular garden that measures 50 feet wide and 45 feet long is enclosed by a uniform width of x feet paved path. To solve the problem,

we can use the formula of the combined area of the garden and the paved path and equate it to 2646 square feet. The combined area is computed by adding the area of the garden and the area of the paved path.

Garden area:Length of garden = 45 ftWidth of garden = 50 ftArea of garden = Length x Width= 45 x 50= 2250 square feet

Paved path:

If the garden has a uniform width of x feet paved path, then the width of the paved path would be x + 2x + x= 4x. The width is multiplied by 2 because there are two widths surrounding the garden.

Length of paved path = length of garden + 2 (width of paved path)= 45 + 2 (4x)= 8x + 45Width of paved path = width of garden + 2 (width of paved path)= 50 + 2 (4x)= 8x + 50

The area of the paved path is computed by subtracting the area of the garden from the combined area.Area of paved path = Combined area - Garden area2646 square feet

= (8x + 45) (8x + 50) - 2250= 64x² + 760x + 675

We then solve for the value of x by factoring the quadratic equation.2646 square feet = 64x² + 760x + 6752646 - 2646

= 64x² + 760x + 675 - 264664x² + 760x - 1971

= 0(8x - 27) (8x + 73) = 0

The value of x cannot be negative,

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Answer:

What is the perimeter? 89 cm

Step-by-step explanation:

(35.2 + 11.9) + (35.2 + 12.7)

= 47.1 + 47.9

= 89 cm

Answer: 0.917

Step-by-step explanation:

3x+8x=12

11x=12

1x=(11x/12)

1x=0.91666

1x=0.917

The best order of integration for the given double integral is integrating with respect to y first and then with respect to x. The result of the integral will be 60xy.

The given double integral is 60x. To determine the best order of integration, we need to evaluate the integral using both the row-first order and the column-first order and compare the results.

Let's first consider integrating with respect to x first and then with respect to y. The limits of integration for x will depend on the outer integral with respect to y. Since there is no information provided about the limits of integration, we cannot proceed with this order.

Now, let's consider integrating with respect to y first and then with respect to x. The limits of integration for y will depend on the outer integral with respect to x. However, since the given function is 60x, the integral with respect to y will yield 60x times the integral of 1 with respect to y, which simplifies to 60xy.

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Nathan's monthly payment will be Php 25,496.45.

To calculate the monthly payment for Nathan's car loan, we can use the formula for the monthly payment on a loan with compound interest:

Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Total Number of Payments))

Given:

Loan Amount (Principal) = Php 1,200,000.00

Interest Rate = 10% per year

Compounding Period = Monthly

Loan Term = 5 years (60 months)

First, we need to convert the annual interest rate to a monthly interest rate:

Monthly Interest Rate = (1 + Annual Interest Rate)^(1/Number of Compounding Periods) - 1

Monthly Interest Rate = (1 + 0.10)^(1/12) - 1

Monthly Interest Rate = 0.007974

Substituting the values into the formula:

Monthly Payment = (1,200,000 * 0.007974) / (1 - (1 + 0.007974)^(-60))

Monthly Payment = 25,496.45 (rounded to two decimal places)

Therefore, Nathan's monthly payment for the car loan will be Php 25,496.45.

Nathan's monthly payment for the car loan will be Php 25,496.45.

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Answer:

312

Step-by-step explanation:

499-187

Answer: Tim needs to save $312 more.

Step-by-step explanation: To find the answer, subtract. $499 minus $187 equals $312. Hope this helps! :>

Answer:

Step-by-step explanation:

Lets take point A:

Reflection across the line y = 2 moves the point to

(8, -8)

A dilation of 1/2 will bring the above point to (1/2*8, 1/28-8= (4, -4).

So for the other points we have

B(10,4)-->B'(10, 0)---> B"( 5, 0)

C(4, 4)--> C'(4, 0) ------C"(2, 0)

D(2, 8)----D'(2, -4)---->D"(1, -2)

Let's call the cost of the dryer "x".

We know from the problem that the washer costs $68 less than the dryer, so the cost of the washer would be "x - 68".

The problem also tells us that the combined cost of the washer and dryer is $782. So we can set up an equation:

x + (x - 68) = 782

Simplifying this equation, we get:

2x - 68 = 782

Adding 68 to both sides, we get:

2x = 850

Dividing both sides by 2, we get:

x = 425

So the dryer costs $425.

The p-value is .11 and the significance level is .05, then we fail to reject the null hypothesis.

The p-value represents the probability of obtaining the observed results, or results more extreme, assuming the null hypothesis is true. In this case, the p-value is greater than the significance level, which means that the observed results are not significant enough to reject the null hypothesis.
With a p-value of .11 and a significance level of .05, we can conclude that there is not enough evidence to reject the null hypothesis.
When comparing the p-value to the significance level (0.05), if the p-value is less than or equal to the significance level, you would reject the null hypothesis, indicating that there is a significant effect or difference.

If the p-value is greater than the significance level, you would fail to reject the null hypothesis, meaning that you cannot conclude that there is a significant effect or difference.

Hence, the p-value (0.11) is greater than the significance level (0.05), you fail to reject the null hypothesis, which means you cannot conclude that there is a significant effect or difference.

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The total cost of the set and the tax is 2653.6 dollars.

The Myer family purchased a bedroom set for $2,480.  The sales tax rate is  7 percent.

Therefore, the total cost of the set and the tax can be calculated as follows:

tax = 7% of 2480

tax = 7 / 100 × 2480

tax = 17360 / 100

tax = $173.6

Therefore, let's find the total cost of the set and tax.

total cost = 173.6 + 2480

total cost = 2653.6 dollars

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The derivative of the function y = x^2x using logarithmic differentiation is dy/dx = x^2x(2 + 2ln(x)).

To find the derivative of the function y = x^2x using logarithmic differentiation, we follow these steps:

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To find the derivative of the function y = x^(2x) using logarithmic differentiation, we take the natural logarithm of both sides, apply logarithmic properties, and then differentiate implicitly.

Start by taking the natural logarithm of both sides of the equation:

ln(y) = ln(x^(2x))

Apply the power rule of logarithms to simplify the expression:

ln(y) = 2x * ln(x)

Now, differentiate both sides of the equation implicitly with respect to x:

(1/y) * dy/dx = 2 * ln(x) + 2x * (1/x)

Simplify the expression:

(1/y) * dy/dx = 2 * ln(x) + 2

Multiply both sides by y to isolate dy/dx:

dy/dx = y * (2 * ln(x) + 2)

Substitute the original value of y = x^(2x) back into the equation:

dy/dx = x^(2x) * (2 * ln(x) + 2)

The derivative of the function y = x^(2x) using logarithmic differentiation is dy/dx = x^(2x) * (2 * ln(x) + 2). Logarithmic differentiation is a useful technique for differentiating functions that involve exponentials or complicated algebraic expressions, as it allows us to simplify the calculation by taking the logarithm of both sides and then differentiating implicitly.

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Answer: 628 cubic feet

Step-by-step explanation: First, find the area of the circle. Using the formula "TTr^2", you can find the area of the circle. Since the diameter is given, and not the radius, divide 10 by 2, and it gives you 5. Now, use the formula. 5 x 5 = 25, and then multiply it by 3.14 which gives you 78.5. Now that we have found the area of the circle, multiply the area by 8 to find the volume of the cylinder. 78.5 x 8 is 628 cubic feet, and that is the volume of the cylinder.

Answer:

i got 34:34:112

Step-by-step explanation:

sorry im bad at explaining things but i added a picture

Answer:

34, 34, 112

Step-by-step explanation:

(6x+10)+(x + 17)+(4x-34) = 180

=> 6x+x+4x = 180 -27+34

=> 11x = 187

=> x = 17

6(17) + 10= 112

17+17 = 34

4(17) -34 = 68 - 34 = 34

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The ROC is the region outside the circle formed by |z| > 1/3. The pole-zero plot for the signal x(n) = aⁿ*u(n) consists of a pole at z = a. Finite duration signals have a convergent ROC for specific z-values, while infinite duration signals have a ROC that includes infinity.

1. To determine the z-transform and the region of convergence (ROC) of the signal x(n) = [3(2ⁿ) - 4(3ⁿ)]u(n):

The z-transform of a discrete-time signal x(n) is given by the expression X(z) = ∑[x(n) * z⁻ⁿ], where n ranges from -∞ to +∞.

Given x(n) = [3(2ⁿ) - 4(3ⁿ)]u(n), we can substitute this into the z-transform formula:

X(z) = ∑{[3(2ⁿ) - 4(3ⁿ)]u(n) * z⁽⁻ⁿ⁾}

= ∑[3(2ⁿ) * u(n) * z⁻ⁿ] - ∑[4(3ⁿ) * u(n) * z⁻ⁿ]

We can simplify each term separately:

First term: ∑[3(2ⁿ) * u(n) * z⁻ⁿ]

= ∑[3 * (2z)⁻ⁿ] (since u(n) = 1 for n ≥ 0)

= 3 / (1 - 2z⁽⁻¹⁾)

Second term: ∑[4(3ⁿ) * u(n) * z⁻ⁿ]

= ∑[4 * (3z)⁻ⁿ] (since u(n) = 1 for n ≥ 0)

= 4 / (1 - 3z⁽⁻¹⁾)

Combining the two terms:

X(z) = 3 / (1 - 2z⁽⁻¹⁾) - 4 / (1 - 3z⁽⁻¹⁾)

The ROC is the range of z-values for which the z-transform converges. In this case, the ROC depends on the poles of X(z). The poles are the values of z that make the denominator of X(z) equal to zero.

For the first term, the pole occurs when 2z⁽⁻¹⁾= 1, i.e., z = 1/2.

For the second term, the pole occurs when 3z⁽⁻¹⁾ = 1, i.e., z = 1/3.

Thus, the ROC is the region outside the circle formed by these poles, i.e., |z| > 1/3.

2. To determine the pole-zero plot for the signal x(n) = aⁿ*u(n), where a > 0:

The z-transform of x(n) = aⁿ*u(n) is given by X(z) = ∑[x(n) * z⁻ⁿ], where n ranges from 0 to ∞.

Substituting the signal into the z-transform formula:

X(z) = ∑[aⁿ * u(n) * z⁻ⁿ]

= ∑[(az)ⁿ] (since u(n) = 1 for n ≥ 0)

= 1 / (1 - az⁽⁻¹⁾)

The pole occurs when az⁽⁻¹⁾ = 1, i.e., z = a. Therefore, the pole-zero plot for the signal x(n) = aⁿ*u(n) consists of a pole at z = a.

3. Conclusions about the ROC of finite duration vs infinite duration signals and causal vs anti-causal vs two-sided signals:

Finite duration signals have a finite ROC, which means they converge for a specific range of z-values. The ROC for a finite-duration signal does not include infinity.

Infinite duration signals have a ROC that includes infinity. The ROC for infinite-duration signals extends to the outer boundaries of the z-plane, typically forming a ring or a wedge.

Causal signals are signals that start at n = 0 or n ≥ 0. Their ROC includes infinity (i.e., extends to the outer boundaries of the z-plane) or the entire z-plane except for possible finite exclusions.

Anti-causal signals are signals that end at n = 0 or n ≤ 0. Their ROC also includes infinity or the entire z-plane except for possible finite exclusions.

Two-sided signals are signals that have values for both positive and negative time indices. Their ROC includes infinity or the entire z-plane except for possible finite exclusions.

The ROC provides information about the convergence of the z-transform and the range of z-values for which the z-transform is valid. The specific characteristics of a signal, such as its duration and causality, determine the shape and extent of the ROC.

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Complete Question:

1. Determine the z-transform and the ROC of the signal: x(n) = [3(2ⁿ) - 4(3ⁿ)}u(n)

2. Determine the pole-zero plot for the signal: x(n) = aⁿu(n), a>0

3. What conclusions can you draw about the ROC of finite duration vs infinite duration signals and causal vs anti-causal vs two-sided signals?

Answer: (x^2+20)(x-4)

Step-by-step explanation:

See attached picture

The probability that the selected element is a member of A n B is 2/9

The elements of the set are given as:

E = {1,2,3,4,5,6,7,8,9}

A = {1,3,4,8,9}

B = {2,4,9}

Using the above parameters, we have:

A only = {1, 3, 8}

B only = {2}

A and B = {4, 9}

None = {5,6,7}

The above dataset is the represented using the attached Venn diagram

In (a), we have:

A and B = {4, 9}

E = {1,2,3,4,5,6,7,8,9}

The probability is then calculated as:

P(A n B) = n(A n B)/n(E)

This gives

P(A n B) = 2/9

Hence, the probability is 2/9

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Answer:

d. No, because not enough is information given to prove the triangles congruent by SAS

Step-by-step explanation:

It doesnt give u measures of some important angles. I also got it right

Answer:

D. no, because not enough is information given to prove the triangles congruent by SAS

Step-by-step explanation:

edge2021

Answer:

the answer is to this question is f(x)=46

Answer:

Step-by-step explanation:

Answer:

7^4 = 2401

Step-by-step explanation:

___, ___, ___, ___

all blank spaces can be filled with all 7 numbers each.. so 7*7*7*7 is total number of paterns you can get if repititions is allowed

Since probabilities cannot be negative, we can conclude that the given probabilities are inconsistent or there might be an error in the information provided. Please verify the values and provide correct probabilities so that we can accurately calculate P(B|A), the probability of the flight being delayed when it is raining.

Let's denote the events as follows:

A: It will rain

B: The flight will be delayed

We are given the following probabilities:

P(A) = 0.11 (probability of rain)

P(B) = 0.14 (probability of flight delay)

P(A'∩B') = 0.76 (probability of no rain and on-time departure)

We can use the probability formula to calculate the probability of the flight being delayed when it is raining, P(B|A), which is the probability of B given A.

We know that:

P(B|A) = P(A∩B) / P(A)

To find P(A∩B), we can use the formula:

P(A∩B) = P(A) - P(A'∩B')

Substituting the given values:

P(A∩B) = P(A) - P(A'∩B')

P(A∩B) = 0.11 - 0.76

P(A∩B) = -0.65

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Answer:

£616

Step-by-step explanation:

700 - 12% = 616

616 is 12% less than 700

Answer:

\(y\geq -2\)

Step-by-step explanation:

Credit: Desmos

Answer:

B

Step-by-step explanation:

It has two or more terms.

To estimate the mean EPA combined city and highway mileage, the automaker conducted EPA mileage tests on a random sample of 35 midsize cars. The sample mean is 24, and the population standard deviation is 1.2. The task is to calculate the 70% confidence interval for the population mean.

To calculate the confidence interval, we can use the formula:

Confidence Interval = Sample Mean ± (Critical Value) * (Standard Deviation / √(Sample Size))

First, we need to determine the critical value associated with a 70% confidence level. The critical value can be found using a standard normal distribution or a t-distribution, depending on the sample size and whether the population standard deviation is known.

Since the sample size is relatively large (n = 35), we can use the standard normal distribution. The critical value for a 70% confidence level corresponds to a z-score of ±1.036.

Next, we calculate the margin of error:

Margin of Error = (Critical Value) * (Standard Deviation / √(Sample Size)) = 1.036 * (1.2 / √35) ≈ 0.380

Finally, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = Sample Mean - Margin of Error = 24 - 0.380 ≈ 23.62

Upper Bound = Sample Mean + Margin of Error = 24 + 0.380 ≈ 24.38

Therefore, the 70% confidence interval for the mean EPA combined city and highway mileage is approximately 23.62 to 24.38.

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Answer:

B.) 15 Feet

Step-by-step explanation:

So how you would sove this problem is to see that 15/5=3, so then you will take 45 and divide that by 3 and get 15 Feet which brings your answer to be "B"!

I hope this helped you:)