Express 64^3/2 in simplest radical form

Answer:

24

Step-by-step explanation:

dont exaclty have an explanations - its just the calculations

Answer:

Step-by-step explanation:

Sample space of die 1 = {1,2,2,3,3,4}

Sample space of die 2 = {1,3,4,5,6,8}.

The highest value that we get by rolling die 1 is 4 and die 2 is 8, which give the sum 12. So, we cannot have any other combinations other than this , as the highest value itself gives 12.

Rolling a sum of 12 with the dice = {(4,8) }

Probability = 1/36

Answer: 20x  + 20

Step-by-step explanation:

    We will distribute the four into the expressions to expand, then we will simplify.

   Given:

4(2x + 3) + 4(3x + 2)

   Distribute:

8x + 12 + 12x + 8

   Combine like terms with addition:

20x + 20

                   20x  + 20

The correct answer for Malcolm's monthly PMI payment is $55.52. Here option D is the correct answer.

To determine Malcolm's monthly PMI (Private Mortgage Insurance) payment, we need to find the corresponding interest rate based on the loan-to-value ratio (LTV). In this case, Malcolm made a $12,500 down payment on a $162,500 home, resulting in an LTV of 92.31% ($150,000 loan amount / $162,500 home value).

Looking at the provided table, we can see that the LTV range of 90.01% to 95% corresponds to an interest rate of 0.37% for a 30-year fixed-rate loan. Since Malcolm's LTV falls within this range, we can use this interest rate.

To calculate the monthly PMI payment, we need to find the annual PMI premium and then divide it by 12. The PMI premium is calculated based on the loan amount, interest rate, and PMI factor.

The PMI factor can be calculated by multiplying the interest rate by the base-to-loan percentage. In this case, the base-to-loan percentage is 0.37%.

PMI factor = 0.37% * 0.37% = 0.001369%

Next, we calculate the annual PMI premium by multiplying the loan amount by the PMI factor:

Annual PMI premium = $150,000 * 0.001369% = $205.35

Finally, we divide the annual PMI premium by 12 to get the monthly PMI payment:

Monthly PMI payment = $205.35 / 12 ≈ $17.11

Therefore, the correct answer is D. $55.52

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Answer:

9.9375

Step-by-step explanation:

3/8[-8+16-(-2.5)]

=3/8(-8+16+2.5)

=3/8(26.5)

=9.9375

Answer:

y=(x-4)^2=x^2-8x+16

Step-by-step explanation:

Since we know that x=4 is a solution with multiplicity 2. Therefore x=4 will occur as a factor twice in the quadratic equation.

So

y=(x-4)^2

\(y=(x-4)^2=x^2-8x+16\)

We are given that each side of the Square Park measures 160 yards.

The Square Park has 4 sides.

The perimeter of the Square Park is given by

This means that if you walk around the outside of the Square Park one time then you would cover a distance of 640 yards.

It is given that Tina walked twice around the outside of the park.

Therefore, Tina walked 1280 yards.

23

Step-by-step explanation:

\(f(3) = {(3)}^{2} + 3(3) - 7 = 9 + 9 - 7 \\ = 18 - 7 = 11\)

\(g(3) = 5(3) - 3 = 15 - 3 = 12\)

\(f(3) + g(3) = 11 + 12 = 23\)

RATE BRAINLIEST

a)P(X = 0) = 1/8, P(X = 1) = 3/8, P(X = 2) = 3/8, and P(X = 3) = 1/8. b) The probability of observing at least one head is 1 - 1/8 = 7/8. c) E(X) = (0 * 1/8) + (1 * 3/8) + (2 * 3/8) + (3 * 1/8) = 1.5. d) σ(X) ≈ 0.87.

a) The probability distribution of X, the number of heads observed when a fair coin is tossed three times, is as follows: P(X = 0) = 1/8, P(X = 1) = 3/8, P(X = 2) = 3/8, and P(X = 3) = 1/8.

b) The probability of observing at least one head is calculated by finding the complement of the probability of observing no heads. Since P(X = 0) = 1/8, the probability of at least one head is 1 - 1/8 = 7/8.

c) The expected value (E(X)) of X is calculated by multiplying each possible value of X by its respective probability and summing them up. In this case, E(X) = (0 * 1/8) + (1 * 3/8) + (2 * 3/8) + (3 * 1/8) = 1.5.

d) The standard deviation (σ(X)) of X is calculated by taking the square root of the variance. The variance is calculated by summing the squared differences between each possible value of X and the expected value, weighted by their respective probabilities. In this case, σ(X) ≈ 0.87.

a) To construct the probability distribution of X, we need to find the probability of each possible outcome. When a fair coin is tossed three times, there are eight possible outcomes: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. Out of these, there is one outcome with 0 heads, three outcomes with 1 head, three outcomes with 2 heads, and one outcome with 3 heads. Therefore, the probability distribution is as follows: P(X = 0) = 1/8, P(X = 1) = 3/8, P(X = 2) = 3/8, and P(X = 3) = 1/8.

b) The probability of observing at least one head is the complement of the probability of observing no heads. Since P(X = 0) = 1/8, the probability of at least one head is 1 - 1/8 = 7/8.

c) The expected value (E(X)) of X is calculated by multiplying each possible value of X by its respective probability and summing them up. In this case, E(X) = (0 * 1/8) + (1 * 3/8) + (2 * 3/8) + (3 * 1/8) = 1.5.

d) The standard deviation (σ(X)) of X is calculated by taking the square root of the variance. The variance is calculated by summing the squared differences between each possible value of X and the expected value, weighted by their respective probabilities. In this case, the variance is approximately 0.75, and therefore, the standard deviation is σ(X) ≈ √0.75 ≈ 0.87.

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Answer:

Complex numbers

Step-by-step explanation:

Given

5 + i and 5 - i

Required

What are they called?

In numbering system,

Complex numbers are of the form:

\(a + bi\)

Comparing the given numbers to the form of complex number, we'll see that there's a perfect match between the two

i.e.

\(a + bi = 5 + i\)

\(a + bi = 5 - i\)

Hence, they are referred to as complex numbers

Answer:

Expand the expression.

x^ 4  −  4 x ^3  +  6 x ^2  −  4 x  +  1

I am not 100% sure but I think it is 85 degrees

DO NOT take my word for it

Step-by-step explanation:

I'm not sure but I think it is 75 degree

Given:

To find: The value of x and y

Explanation:

Adding (1) and (2) we get,

Substitute x=4 in equation (2) we get,

Hence, the solution is,

Final answer:

Answer:

4 ≤ x ≥ -7

I think this is right. I'm not 100% sure! But maybe it will help :)

Answer:

x ≥ -7 ≤ 4

Step-by-step explanation:

Over the interval [-3, 1], the local minimum is 0,  Over the interval [-1, 0], the local maximum is 4.39,  Over the interval [0, 3], the local minimum is -32.

By plot the function on a graphing tool and visually identify the local minimum and maximum values over the specified intervals .A function that is continuous for an interval [a,b], a is not equal to b, then there is a local maximum and minimum if:

Local maximum: f(d) > f(x), ∀ x ≠ d, a ≤ d ≤ b

Local minimum: f(c)< f(x), ∀ x ≠ to c, a≤c≤b

we can proceed to solve each question:

Over the interval [-3, 1], the local minimum is 0,

since f(-2) < f(x), ∀ x ≠ -2,-3 ≤ x ≤ -1 .

Over the interval [-1, 0], the local maximum is 4.39,

since f(-0.8) > f(x), ∀ x ≠ -0.8, -1 ≤ x ≤ -1.

Over the interval [0, 3], the local minimum is -32,

since f(-2) < f(x), ∀ x ≠ -2.0 ≤ x ≤3.

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Answer:

0

4.39

-32

Step-by-step explanation:

on edge

The average speed of his horse have been, to the nearest tenth of a mile

per hour is 25.4

Given:

On April 18, 1775, Paul Revere set off on his midnight ride from Charlestown to Lexington.

Without any break, her would traveled 11 miles in 26 minutes.

So, the distance = 11 miles

and the time taken = 26 minutes

We know that, the speed is calculated using the formula,

distance = speed x times

Here, let us consider the speed is S.

And, the speed is needed in miles per hour, we convert 26 minutes to hour by dividing 26 by 60.

That is, 26/60 = 13/30 hours

So, when we apply the values we get the expression as,

11 = S x 13/30

S =  11 / (13/30)

S = 25.4

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Answer:

0

Step-by-step explanation:

It went down 5 and then came back up 5

Answer:

It's DCAA!

1) 14

2) 141

3) 39

4) 39

$0.008453504 because there are 0.264172 gallons in a litre.

Answer:

84 cents per liter

Step-by-step explanation:

1 gallon = 3.78541 liters

$3.20 / 3.78541 = 0.84

Answer:

1/4=1 whole so to keep it simple you can do 3x4=12and that how much quarters are in three whole

Step-by-step explanation:

The weight of each box that Lucy is shipping is 11.5 pounds.

To find the weight of each box, we need to subtract the weight of the envelope from the total weight and then divide by the number of boxes. Here's how to do it step by step:
1. Start with the total weight: 65 pounds
2. Subtract the weight of the envelope:

65 pounds - 7.5 pounds = 57.5 pounds
3. Divide by the number of boxes:

57.5 pounds / 5 boxes = 11.5 pounds per box

So the weight of each box is 11.5 pounds.

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Balloon's altitude = 43.7ft as

change in altitude/500 = tan 5°  

change in altitude = .0875*500

                              =43.7ft

Option C, A associated samples t-test is the best method for determining the importance of the mean difference.

The weight of an individual before and after a two-day fast is the two variables in this situation.

To use the t-test on paired data, the given observations must be related. Using the variations between the two sets of data, we calculate the test statistic. The degree of freedom for this test is n 1, where n is the overall number of observations.

If the standard deviation is provided and the sample size is large, the statistical hypothesis known as the Z-test is employed to assess if the two samples' computed means are different. The T-test, in contrast, evaluates how averages from distinct data sets differ when the variance or standard deviation is unknown.

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Answer:

The calculation that would increase 275 by 10%:

275 x ( 1 + 10%) = 275 x (1 + 10/100) = 275 x 110/100 = 302.5

Hope this helps!

:)

Answer:

Find the radius

Square the radius

Multiply by pi

Round to nearest hundredth

The scale factor of the smaller figure to the larger figure is 1.5.

In Mathematics and Geometry, a scale factor can be determined through the division of the side length of the image (new figure) by the side length of the original or actual geometric figure (pre-image).

Mathematically, the formula for calculating the scale factor of any geometric object or figure is given by:

Scale factor = side length of image/side length of pre-image

By substituting the given side lengths into the scale factor formula, we have the following;

Scale factor = 6/4

Scale factor = 1.5.

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The measures of central tendency of the first psychology exam in a semester are the average score, which was an 85.

The correlation coefficient and the range of scores from 95 to 65 are not measures of central tendency either.

The standard deviation is a measure of variability, not central tendency, that the measures of central tendency of the first psychology exam are the average and median scores. This states that the mode, correlation coefficient, range of scores, and standard deviation are not measures of central tendency.

Hence, the measures of central tendency for the first psychology exam in a semester are the average score (85) and the median score (80).

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The measures of central tendency for the psychology exam scores include the average, median, and mode.

The measures of central tendency of the first psychology exam in a semester include the average score, median score, and mode (most frequently occurring score).

The average score on the exam was 85, which represents the mean of all the scores.

The median score on the exam was 80, which represents the middle value when all the scores are arranged in order.

The most frequently occurring score was 82, which represents the mode of the scores.

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Answer:

The inequality that models the situation for her to have money to save is

7L² > 3(200L - L²)

On simplifying and solving,

L > 60 meters

Step-by-step explanation:

The length of her farm = L meters

The farm where she grows avocados is of square dimension

Area of the farm = L × L = L²

The piece of land is 200 m wide.

Total area of the piece of land = 200 × L = (200L) m²

If the area of her farm = L²

Area of the side where she lives will be

(Total area of the land) - (Area of the farm)

= (200L - L²)

= L(200 - L)

Every week, Riley spends $3 per square meter on the area where she lives, and earns $7 per square meter from the area where she grows avocados.

Total amount she earns from the side she grows the avocados = 7 × L² = 7L²

Total amount she spends on the side where she lives = 3 × (200L - L²) = 3(200L - L²)

For her to save money, the amount she earns must be greater than the amount she spends, hence the inequality had to be

(Amount she earns) > (Amount she spends)

7L² > 3(200L - L²)

To simplify,

7L² > 3L(200 - L)

Since L is always positive, we can divide both sides by L

7L > 3(200 - L)

7L > 600 - 3L

10L > 600

L > 60 meters

Hope this Helps!!!

Answer:

Answer is in attached image.

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.

Answer:

\(\left(7+x\right)^{12}\)

Step-by-step explanation:

\(\left\{\left(7+x\right)^4\right\}^3\)

\(\left(\left(7+x\right)^4\right)^3\)

Let's apply the exponent rule:

\(\left(\left(7+x\right)^4\right)^3=\left(7+x\right)^{4\times \:3}\)

Multiply 4*3=12

\(\left(7+x\right)^{12}\)

~

Hope this helps!