what is 3/4 ÷ 1/8 =?​

The total area of the regions between the curves is 8 + 5π square units

From the question, we have the following parameters that can be used in our computation:

y = 5sin(x) and y = 5 - sin(x)

The curves intersect at

x = 0 and x = π

So, the area of the regions between the curves is

Area = ∫5sin(x) - 5 - sin(x)

This gives

Area = ∫4sin(x) - 5

Integrate

Area =  -4cos(x) - 5x

Recall that x = 0 and x = π

So, we have

Area =  -4cos(0) - 5(0) + 4cos(π) - 5π

Area =  -4 - 4 - 5π

Evaluate

Area =  -8 - 5π

Take the absolute value

Area =  8 + 5π

Hence, the total area of the regions between the curves is 8 + 5π square units

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Answer: 10 peaches and 5 bananas

Step-by-step explanation:

To solve the problem increase the cost by adding more peaches and less by adding more bananas

7 peaches = 3.50

8 bananas = 3.20 + 3.50 = 6.70

We need 30 more cents so add three more peaches

10 peaches = 5

5 x 0.4 = 2

2 + 5 = 7

A collection of equations with the same variables is known as a system of equations. The only difference is that you're working with inequalities rather than equations in a system of inequalities.

What are inequalities?

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

A system of equations has one solution for each variable, whereas a system of inequalities has a range of possible values for each variable.

Set up the equations as follows:

ax + by = c

dx +ey = f

Let the inequitable system exist:

ax + by <c

dx +ey > f

The same technique, such as graphing, substitution, and elimination, can be used to solve both systems.

But there's a difference because:

A system of equations can only have one solution for each variable, whereas a system of inequalities can have any number of solutions for each variable.

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Answer:

A(-2,1)》A1(-8, 4)

B(-3,3)》B1(-12,12)

C(-1,3)》C1(-4,12)

HOPE IT HELPS....

Answer:

\( \sqrt{(6 \times 6 } + \sqrt{7 \times 7} \\ = \sqrt{ {6}^{2} } + \sqrt{ {7}^{2} } \\ = { ({6}^{2} )}^{ \frac{1}{2} } + { {(7}^{2} )}^{ \frac{1}{2} } \\ = 6 + 7 \\ = 13\)

Answer:

The answer is 13 I hope that helped you buddy <3

Answer:

a3) x= 83

y= 180-71 = 109

a4) x=53

w= 180-53...

y=x=53

z= 180-y

The units for da/dx are pounds per foot squared.

The units for da/dx would be pounds per foot squared. This is because da/dx represents the rate of change of the function a(x), which has units of pounds per foot, with respect to x, which has units of feet. When we take the derivative of a(x), we essential do division of the change in a(x) by the change in x.  

The change in a(x) has units of pounds, and the change in x has units of feet. Therefore, the units for da/dx are pounds per foot squared.

To further explain this, imagine that a(x) represents the weight of a beam that is x feet long. The units for a(x) would be pounds per foot, as it gives us the weight of the beam per unit of length. The derivative of a(x), or da/dx, would give us the rate at which the weight of the beam changes as we increase its length by one foot.

This rate of change would be in units of pounds per foot squared, as we are dividing the change in weight (pounds) by the change in length (feet squared).

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A: 2.508 is the critical value you would use to obtain a 98% confidence interval for the mean m of the population if s is unknown.

The critical value to obtain a 98% confidence interval for the mean of a normally distributed population with an unknown standard deviation, based on a sample size of 23, can be found using a t-distribution with 22 degrees of freedom (since we lose 1 degree of freedom for estimating the sample mean).

Using a t-distribution table, we can find the critical value that corresponds to the 1% level of significance in a two-tailed test with 22 degrees of freedom, which is the area beyond which we want to find the critical value. This critical value is given by:

t(0.01/2, 22) ≈ 2.508

Therefore, the answer is (a) 2.508.

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The coefficients obtained by the student may be less efficient and have larger standard errors compared to the professor's regression.

If the student enters each observation twice, resulting in a sample size of 100 instead of the original 50, the assumption of independent observations is violated in Ordinary Least Squares (OLS) regression. The OLS assumption assumes that the observations are independent, meaning that the value of one observation does not depend on the value of another observation.

In this case, the student's dataset contains repeated observations, which introduces dependence between observations. This violation of the independence assumption can lead to biased and inconsistent parameter estimates in the regression analysis.

Regarding the slope coefficients, if the student runs a regression using the duplicated data, the estimated coefficients may be different from the professor's regression. The duplication of observations inflates the sample size, potentially affecting the precision and accuracy of the estimates.

However, the direction and overall relationship between the variables may still be captured by the student's regression, although the estimates may not be as reliable.

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SOLUTION:

Answer: 12.75

Step-by-step explanation: 10.2/12.75 = 0.8 because when you divide 10.2 by 12.75 you get 0.8 isn't that crazy

Answer:

12.75

Step-by-step explanation:

Let x be the variable used to find the answer.

10.2 ÷ x = 0.8

10.2 = 0.8x

x = 10.2 ÷ 0.8

x = 12.75

Answer:

B) 7.8 and 7.9

Step-by-step explanation:

Taking the square root of 61, we can conclude that the decimal form is 7.810, which falls between the range of 7.8 and 7.9

Answer:

√61 lie between 7.8 and 7.9

Supercomputers are the most powerful computers at any given time, but are built especially for assignments that require arithmetic speed.

The supercomputers, which are the most advanced and high-performance computers available, are specifically constructed to handle assignments that demand rapid arithmetic processing.

These machines are optimized for executing complex mathematical operations and simulations, enabling them to tackle problems that require immense computational power.

By harnessing parallel processing, massive memory capacities, and specialized architectures, supercomputers excel in solving scientific, engineering, and research challenges that necessitate exceptional arithmetic speed.

Their capabilities contribute to advancements in various fields, including weather forecasting, molecular modeling, astrophysics, and cryptography.

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Answer:

By the math, x = 10°

Here's my issue though, the top angle is x - 15°. That would be an angle of -5° which is impossible.

Step-by-step explanation:

x - 15 + 2x + 25 + 180 - 4x = 180°

combine like terms:

3x - 4x + 190 = 180°

-x = -10°

x = 10°

Answer:

C) 12.56ft

Step-by-step explanation:

if diameter = 4 ft. then radius = 2 ft ( 1/2 diameter)

2 \(\pi\) r = 2 x \(\pi\) x 2 = 2 x 3.14 x 2 = 12.56 ft

The range or the given data is calculated as 10.2 . Range is the difference between minimum value and maximum value.

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we can make use of the formula for range in statistics which is given as follows:[\large Range = Maximum\ Value - Minimum\ Value\]

To find the range in the following data 1.0, 7.0, 4.8, 1.0, 11.2, 2.2, 9.4, we need to arrange the data in either ascending or descending order, but since we only need to find the range, it is not necessary to arrange the data.

From the data given above, we can easily identify the minimum value and maximum value and then find the difference to get the range.

So, Minimum Value = 1.0

Maximum Value = 11.2

Range = Maximum Value - Minimum Value

                  = 11.2 - 1.0

                     = 10.2

Therefore, the range of the given data is 10.2.

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The length of the garden is 99 m.

The formula for the area of a rectangle is:

Area = Length x Width

We are given that the area of the rectangle is 8811 \(m^{2}\) and the width is 89 m. Substituting these values into the formula, we get:

8811 \(m^{2}\) = Length x 89 m

To solve for the length, we can divide both sides of the equation by 89 m:

Length = 8811 \(m^{2}\) / 89 m

Simplifying, we get:

Length = 99 m

Therefore, the length of the garden is 99 m.

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Answer:

40 feets

Step-by-step explanation:

Given that :

Observer's height = 5 feets

Observer's distance from the mirror = 3 feets

Distance of tree away from the mirror = 24 feets

To obtain the height of tree:

Observer's distance (Od) / tree distance (Td) = Observer's height(Oh) / tree height (Th)

Od / Td = Oh / Th

3 / 24 = 5 / Th

3 * Th = 24 * 5

Th = 120 / 3

Th = 40 feets

Hence, the height of tree is 40 feets

Answer:

answers 930 ok I hope it help

Answer:

\(8v^{3} +27=(2v)^{3} +3^{3}=(2v+3)(4v^{2} -6v+9)\\\)

Step-by-step explanation:

from  formula a³ – b³ = (a – b) (a² + ab + b² )

Answer:

16 sqrt(3) x -> A. 16√3

Step-by-step explanation:

Simplify the following:

sqrt(32) sqrt(24) x

Hint: | Simplify radicals.

sqrt(32) = sqrt(2^5) = 2^2 sqrt(2):

2^2 sqrt(2) sqrt(24) x

Hint: | Evaluate 2^2.

2^2 = 4:

4 sqrt(2) sqrt(24) x

Hint: | Simplify radicals.

sqrt(24) = sqrt(2^3×3) = 2 sqrt(2) sqrt(3):

4 sqrt(2)×2 sqrt(2) sqrt(3) x

Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(2) sqrt(3).

sqrt(2) sqrt(3) = sqrt(2×3):

4 sqrt(2)×2 sqrt(2×3) x

Hint: | Multiply 2 and 3 together.

2×3 = 6:

4 sqrt(2)×2 sqrt(6) x

Hint: | Multiply 4 and 2 together.

4×2 = 8:

8 sqrt(2) sqrt(6) x

Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(2) sqrt(6).

sqrt(2) sqrt(6) = sqrt(2×6):

8 sqrt(2×6) x

Hint: | Multiply 2 and 6 together.

2×6 = 12:

8 sqrt(12) x

Hint: | Simplify radicals.

sqrt(12) = sqrt(2^2×3) = 2 sqrt(3):

8×2 sqrt(3) x

Hint: | Multiply 8 and 2 together.

8×2 = 16:

Answer: 16 sqrt(3) x

Answer:

16√3

Step-by-step explanation:

I got it on test

Yes, the table is in proportional relationship, because the ratios for dollars per hour are all equivalent to 13 dollars per hour.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Time in hours = 0, 7, 14, 21, 28.

Payment in dollars = 0, 91, 182, 273, 364.

To determine the proportional relationship,

Find the ratios of payment to time,

91 : 7 =  91 / 7 = 13

182 : 14 = 182 / 14 = 13

273 : 21 = 273 / 21 = 13

364 : 28 = 364 / 28 = 13

The ratios of all the proportional of dollar per hour is equal to 13.

Therefore, the data is in proportional relationship.

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The probability that exactly 18 of the 25 smartphones selected are purchased with warranty is:  The probability that exactly 8 of the 25 smartphones selected are not purchased with warranty is: The probability that all 25 smartphones selected are purchased with warranty is:  

The probability that at most 15 of the 25 smartphones selected are purchased with warranty is: The probability that at least 14 of the 25 smartphones selected are purchased with warranty is: f) The probability that more than half (i.e. > 12) of the 25 smartphones selected are purchased with warranty is: 9) The probability that at least 14 but no more than 23 of the 25 smartphones selected are purchased with warranty is:

h) The probability that less than 12 or more than 19 of the 25 smartphones selected are purchased with warranty is: Part 2Mean = Standard Deviation =  Part 3To find the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty, we use the following formula: N = [(Z * σ) / E]^2 where Z is the z-score corresponding to the desired level of confidence, σ is the standard deviation, and E is the maximum error of estimation. Using a 95% level of confidence, Z = 1.96.Using the calculated standard deviation of 2.91 and expecting to find exactly 72 smartphones, the maximum error of estimation is 0.5.N = [(1.96 * 2.91) / 0.5]^2N

= 337.11

Therefore, the minimum sample size required to expect to find exactly 72 smartphones that are purchased with warranty is 338.

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a. The formula B = 703w/h^2 can be solved for w by rearranging the equation as w = B * h^2 / 703.
b. For a person who is 64 inches tall and has a body mass index of 21.45, the weight can be calculated by substituting the values into the formula w = B * h^2 / 703, where B is 21.45 and h is 64 inches.

a. To solve the formula B = 703w/h^2 for w, we can rearrange the equation to isolate w on one side of the equation. Multiply both sides of the equation by h^2, then divide both sides by 703. The resulting equation is w = B * h^2 / 703.
b. To find the weight of a person who is 64 inches tall and has a body mass index of 21.45, we can substitute the values into the formula w = B * h^2 / 703. In this case, B is 21.45 and h is 64 inches. Plugging these values into the equation, we get w = 21.45 * 64^2 / 703. Evaluating this expression will give us the weight in pounds.

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Hence, the probability that an aircraft entering the area is detected by more than two radar sets is approximately 0.998816, or about 99.88%.

To calculate the probability that an aircraft is detected by more than two radar sets, we need to consider the different combinations of radar sets that can detect the aircraft.

Let's analyze the possibilities:

If the aircraft is detected by all three radar sets:

Probability = (probability of detection) * (probability of detection) * (probability of detection)

= (0.98) * (0.98) * (0.98)

= 0.941192

If the aircraft is detected by exactly two radar sets:

There are three possible combinations of two radar sets that can detect the aircraft: (1st and 2nd), (1st and 3rd), (2nd and 3rd).

Probability for each combination = (probability of detection) * (probability of detection) * (probability of failure to detect) = (0.98) * (0.98) * (0.02) = 0.019208.

Total probability = 3 * 0.019208 = 0.057624.

Therefore, the probability that an aircraft is detected by more than two radar sets is the sum of the probabilities from the two cases above:

Probability = 0.941192 + 0.057624

= 0.998816

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Evaluating p(4) using Horner's algorithm:

1. To use Horner's algorithm, we write the polynomial in nested form as follows:

p(z) = ((3z - 7)z - 5)z^2 + (z - 8)z + 2

Now, we can evaluate p(4) by starting from the inside and working our way out:

p(4) = ((3(4) - 7)4 - 5)4^2 + (4 - 8)4 + 2

= (5)4^2 - 4 + 2

= 78

Therefore, p(4) = 78.

2. Finding the Taylor series expansion of p(z) about z0 = 4:

To find the Taylor series expansion of p(z) about z0 = 4, we need to compute the derivatives of p(z) at z0 = 4. First, we compute p'(z) = 6z^2 - 28z^3 - 10z^2 + 2z - 8, then p''(z) = 12z - 84z^2 - 20z + 2, p'''(z) = 12 - 168z - 20, and so on.

Using these derivatives, we can write the Taylor series expansion of p(z) about z0 = 4 as follows:

p(z) = p(4) + p'(4)(z - 4) + p''(4)(z - 4)^2/2! + p'''(4)(z - 4)^3/3! + ...

Substituting in the values we computed, we get:

p(z) = 78 + 10(z - 4) - 41(z - 4)^2/2! - 14(z - 4)^3/3! + ...

Therefore, the Taylor series expansion of p(z) about z0 = 4 is:

p(z) = 78 + 10(z - 4) - 20.5(z - 4)^2 - 2.333(z - 4)^3 + ...

3. Using Newton's method to find a root of p(z):

To use Newton's method to find a root of p(z), we start with an initial guess z0 = 4 and iterate the formula z1 = z0 - p(z0)/p'(z0) until we reach a desired level of accuracy.

4. We already computed p'(z) in part 2, so we can use the formula to compute z1 as follows:

z1 = z0 - p(z0)/p'(z0)

= 4 - (78 + 10(4) - 20.5(4 - 4)^2 - 2.333(4 - 4)^3)/[6(4)^2 - 28(4)^3 - 10(4)^2 + 2(4) - 8]

= 3.9167

We can continue to iterate using this formula to get better approximations for the root of p(z).

Horner's algorithm is a fast and efficient way to evaluate a polynomial at a particular point. It involves using the distributive property of multiplication to rewrite a polynomial in a nested form, then evaluating the polynomial from the inside out.

In this problem, we will use Horner's algorithm to evaluate p(4) for a given polynomial, find its Taylor series expansion about the point z0 = 4, and then use Newton's method to find an approximation for a root of the polynomial.

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Answer:

Step-by-step explanation:

The loop will run an infinite number of times

Answer:

I think option A is correct answer

Answer:

C

Step-by-step explanation:

Option C