a region is bounded by two concentric circles, as shown by the shaded region in the figure above. the radius of the outer circle, rr, is increasing at a constant rate of 22 inches per second. the radius of the inner circle, rr, is decreasing at a constant rate of 11 inch per second. what is the rate of change, in square inches per second, of the area of the region at the instant when rr is 44 inches and rr is 33 inches?

Answer:

a=1

Step-by-step explanation:

-20=-8(a+4)-5(1-5a)

Distribute

-20 = -8a -32 -5 +25a

Combine like terms

-20 =17a -37

Add 37 to each side

-20+37 = 17a-37+37

17 = 17a

Divide by 17

17/17 = 17a/17

1= a

The solution is, the duration of the 1st part is 1.125 mint.

here, we have,

given that,

A TV series has three parts. The duration of part 2 is 118 times the duration of part 1. Part 3 is 15 minutes longer than part 1. The total duration of the whole series is 150 minutes.

now, we have to find the duration of the 1st part

we get,

The total duration of the whole series is 150 minutes.

let, the duration of the 1st part= x

so, The duration of part 2 is =118x

The duration of part 3  = x + 15

so, we get,

x + x+15 + 118x = 150

or, 120x = 135

or. x = 1.125

Hence, the duration of the 1st part is 1.125 mint.

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Answer:

y= -x+6

Step-by-step explanation:

G1xG2= -1

G2= -1

-1 = (y-8)

-------

(x+2)

-1 (x+2)=y-8

-x-2=y-8

-y=x+2-8

y= -x+6

Answer:

Make two batches of bran muffins to get 36. Make 3 batches of blueberry muffins to get 36.

Step-by-step explanation: well, the one above is the least he could make. The most he could

make is 6 batches of blueberry, and 4 batches of bran.

If p > 5 is prime and p is divided by 10, then the remainders are 1, 3, 7, or 9

The given information, we know that p is a prime number greater than 5, and that p is divided by 10. This means that p must end in either 0 or 5. since those are the only digits that allow for a number to be divisible by 10.

However, we also know that p is prime, which means it cannot be divisible by any number other than 1 and itself. This rules out the possibility of p ending in 0. since any number ending in 0 is divisible by 10 (and therefore not prime).

Therefore, p must end in 5. This means that p can be written in the form:

p = 10n + 5

where n is some integer. Now, let's consider what happens when we divide p by 10:

p/10 = (10n + 5)/10 = n + 0.5

Since p/10 is not an integer (it has a decimal component of 0.5), we know that p cannot be evenly divided by 10. Therefore, when p is divided by 10, there must be a remainder.

To determine what possible remainders there could be, we can look at the possible values for the last digit of p. Since p ends in 5, the last digit can only be 1, 3, 7, or 9 (since these are the only digits that, when multiplied by 5 and added to 10n, result in a number ending in 5).

Therefore, if p > 5 is prime and p is divided by 10, the remainder must be either 1, 3, 7, or 9.

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When studying the relationship between test performance and length of sleep (the night before), measure of association type of measurement is being examined.

What is measure of association?

Measure of association in statistics any of various factors or coefficient used to quantity a relationship between two or more variables.

Measure of association are used in various fields of research but are specially common in the areas of Epidermiology and Psycology, where they frequently are used to quantity relationships between exposures and behaviours.

Here length of sleeping and test performance is behavioural based relationship. It can best studied through measure of association.

Hence, when studying the relationship between test performance and length of sleep (the night before), measure of association type of measurement is being examined.

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Answer:

21/2

Step-by-step explanation:

I think I don’t know tho

Answer:

2.38 * 5 = 11.9 and 6.10 * 2 12.20 therefore the 2 pound box is the better deal

Step-by-step explanation:

In a quadrilateral with a perimeter of 120 inches, the longest of the four sides has length equal to 33 inches.

A quadrilateral is a two-dimensional figure that has 4 sides and 4 vertices. The perimeter of any two-dimensional figure is the sum of all its sides.

If the lengths of the four sides of a quadrilateral (in inches) are consecutive odd integers, we can express each side as:

x = length of side 1(odd integer)

x + 2 = length of side 2

x + 4 = length of side 3

x + 6 = length of side 4

If the perimeter of the quadrilateral is 120 inches, then the sum of the four sides is equal to 120 inches.

x + (x + 2) + (x + 4) + (x + 6) = 120

Simplifying and solving for x.

4x + 12 = 120

4x = 108

x = 27

Substitute the value of x on the expression for the length of the 4th side(longest side).

longest side = x + 6 = 27 + 6

longest side = 33 inches

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The correct option is "smaller".The margin of error for a 95% confidence interval for u will be smaller if we took an SRS of 1600 eighth-graders as compared to an SRS of 2500 eighth-graders.

The given standard deviation is σ = 40 and the sample size is n = 2500.

From the above data, the standard error can be calculated as:

$$SE=\frac{\sigma}{\sqrt n} = \frac{40}{\sqrt {2500}}

= 0.8$$For a 95% confidence interval, we have the z-value as 1.96.

From the above data, the margin of error is given as:

$$ME = z*\frac{σ}{\sqrt n}

= 1.96*\frac{40}{\sqrt {2500}} = 1.568$$

So, the margin of error is 1.568. Next, we will find out the margin of error for a sample size of n=1600.

Similarly, we can calculate the standard error as:

$$SE=\frac{\sigma}{\sqrt n}

= \frac{40}{\sqrt {1600}} = 1$$For a 95% confidence interval, we have the z-value as 1.96.

From the above data, the margin of error is given as:

$$ME = z*\frac{σ}{\sqrt n}

= 1.96*\frac{40}{\sqrt {1600}} = 1.568$$So, the margin of error is 1.96.

Therefore, the margin of error for a 95% confidence interval for u is smaller when we took an SRS of 1600 eighth-graders as compared to an SRS of 2500 eighth-graders. The correct option is "smaller".

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The pooled standard deviation will be True

The average range of all data points about their group mean is known as the pooled standard deviation (not the overall mean). It is the weighted average of the standard deviations for each group. Larger groups have a proportionately greater impact on the overall estimate because to the weighting.

Compare the ratio of the two sample standard deviations as a quick way to verify this. The ratio would be 1, or, in the event that the two are equal. However, we cannot anticipate the ratio to be exactly 1, as they are samples and as a result, there will be some mistake. A decent Rule of Thumb to apply is to see if the ratio falls between 0.5 and 2 when the sample sizes are nearly equal (granted, "nearly equal" is a bit imprecise, so frequently if sample sizes are small one requires they be equal). In other words, neither sample's standard deviation is greater than its counterpart.

Therefore, the pooled standard deviation will be True

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To use differentials to estimate the value of 1.2√4, we need to first find a suitable function and a point close to the one we want to estimate. Since we are dealing with square roots, we can use the function f(x) = √x. The point closest to 4.2 (1.2 added to 4) that we know the exact value for is 4, as √4 = 2.

1. Find the derivative of f(x) = √x:
f'(x) = (1/2)x^(-1/2)

2. Evaluate the derivative at the known point, x = 4:
f'(4) = (1/2)(4)^(-1/2) = (1/2)(2)^(-1) = 1/4

3. Compute the differential, using Δx = 0.2 (the difference between 4.2 and 4):
Δy = f'(4)Δx = (1/4)(0.2) = 0.05

4. Estimate the value of 1.2√4 by adding Δy to the exact value at x = 4:
1.2√4 ≈ 2 + 0.05 = 2.05

Now, let's compare this to the exact value of 1.2√4:
Exact value: 1.2√4 = 1.2(√4.2) ≈ 1.2(2.0494) ≈ 2.0593

The estimated value using differentials is 2.05, while the exact value is approximately 2.0593. The two values are relatively close, demonstrating the effectiveness of using differentials for estimation.

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Khalid can make a maximum of 7 batches of muffins using the available cornmeal because he only has 2 bags of cornmeal, and each bag provides 25 cups. Hence, the correct answer is (a) 7.

To calculate the maximum number of batches, we need to consider the total amount of cornmeal available and the amount required per batch. Khalid has 2 bags of cornmeal, with each bag containing 25 servings. Since one serving is equivalent to one cup, each bag has 25 cups of cornmeal.For each batch of muffins, 2.5 cups of cornmeal are required. Therefore, to determine the maximum number of batches, we divide the total amount of cornmeal by the amount required per batch: 25 cups / 2.5 cups per batch = 10 batches.

However, Khalid can only make a maximum of 7 batches because he only has 2 bags of cornmeal, and each bag provides 25 cups. Hence, the correct answer is (a) 7

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Answer: the answer is

y-4=6*(x-7)

Step-by-step explanation:

Answer:

4.4391x10^11

Step-by-step explanation:

Answer:

x - 1/2y = 0

Step-by-step explanation:

=> x = 1/2y

=> x - 1/2y = 0

Hope it helps.

Answer:

5*-2 = 1/25

5*3 = 125

2*-4 = 1/16

2*5 = 32

We are given a series Σ an = 8n^3 - 8n^2 + 19 and we are asked to determine whether it converges or diverges using the limit comparison test. Additionally, we are given a geometric sequence and asked to find the common ratio, the fifth term, and the nth term.

a) To apply the limit comparison test, we need to choose a series bn with terms of the form bn and compare it to the given series Σ an. In this case, we can choose bn = 8n^3. Now we need to evaluate the limit as n approaches infinity of the ratio an/bn. Simplifying the ratio, we get lim(n->∞) (8n^3 - 8n^2 + 19)/(8n^3).

b) Evaluating the limit from the previous step, we can see that as n approaches infinity, the highest power term dominates, and the limit becomes 8/8 = 1.

c) According to the limit comparison test, if the limit in the previous step is a finite positive number, then both series Σ an and Σ bn converge or diverge together. Since the limit is 1, which is a finite positive number, the series Σ an and Σ bn have the same convergence behavior. However, we need more information to determine the convergence or divergence of Σ bn.

For the geometric sequence 2, 6, 18, 54, 162, ..., the common ratio is 3. The fifth term is obtained by multiplying the fourth term by the common ratio, so the fifth term is 162 * 3 = 486. The nth term can be obtained using the formula an = a1 * r^(n-1), where a1 is the first term and r is the common ratio..

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Answer:

1. 5/12

2. 3/8

3. 1/4

Step-by-step explanation:

Answer:

ur welcoem

Step-by-step explanation:

It would take Patricia and Denise working together approximately 72/17 hours to complete the job. This fraction cannot be simplified further, so the answer is expressed as 72/17 hours.

To determine how many hours it would take Patricia and Denise to paint the living room together, we can use the concept of their individual rates of work.

Let's assume the total work of painting the living room is represented by 1 (the whole job). Therefore, Patricia's individual rate of work would be 1/8 of the job per hour, and Denise's individual rate of work would be 1/9 of the job per hour.

When they work together, their rates of work add up. Therefore, we can add their individual rates to find their combined rate of work:

Combined rate = Patricia's rate + Denise's rate

Combined rate = 1/8 + 1/9

To add the fractions, we need a common denominator, which in this case is 72. So, let's convert the fractions to have the same denominator:

Combined rate = 9/72 + 8/72

Combined rate = 17/72

This means that together, Patricia and Denise can complete 17/72 of the job per hour.

To find how many hours it would take them to complete the entire job (1), we can set up the equation:

(17/72) * Hours = 1

To solve for Hours, we can multiply both sides of the equation by the reciprocal of 17/72, which is 72/17:

Hours = 1 * (72/17)

Hours = 72/17

Therefore, it would take Patricia and Denise working together approximately 72/17 hours to complete the job. This fraction cannot be simplified further, so the answer is expressed as 72/17 hours.

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The limit definition of derivative  of f(x) = 3x^2 - 4 is f'(x) = 6x.

The limit definition of derivative states that the derivative of a function f(x) at a point x is given by the limit of the difference quotient as the change in x approaches zero. In other words, we need to find the limit of (f(x + h) - f(x)) / h as h approaches zero.

For the given function f(x) = 3x^2 - 4, we substitute the values into the difference quotient:

f'(x) = lim(h -> 0) [ (f(x + h) - f(x)) / h ]

= lim(h -> 0) [ (3(x + h)^2 - 4 - (3x^2 - 4)) / h ]

Expanding and simplifying the expression inside the limit, we get:

f'(x) = lim(h -> 0) [ (3(x^2 + 2hx + h^2) - 4 - 3x^2 + 4) / h ]

= lim(h -> 0) [ (6hx + 3h^2) / h ]

Canceling out the h term in the numerator and denominator, we have:

f'(x) = lim(h -> 0) [ 6x + 3h ]

Taking the limit as h approaches zero, we get:

f'(x) = 6x

Therefore, the derivative of f(x) = 3x^2 - 4 is f'(x) = 6x.

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(1) The length of side BC is 9 cm.

(2) The length of side PQ is 5.385 m.

(3) The length of side UW is 6.71 mm.

(4) The length of side XZ is 14.32 mm.

(5) The length of side EF is  6 cm.

The missing lengths of the right triangle is calculated by applying the Pythagoras theorem formula.

(1) The length of side BC is calculated as;

BC = √ (15² - 12² )

BC = 9 cm

(2) The length of side PQ is calculated as;

PQ = √ (5² + 2² )

PQ = 5.385 m

(3) The length of side UW is calculated as;

UW = √ (9² - 6² )

UW = 6.71 mm

(4) The length of side XZ is calculated as;

XZ = √ (14² + 3² )

XZ = 14.32 mm

(5) The length of side EF is calculated as;

EF = √ (10² - 8² )

EF = 6 cm

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Answer:

who

Step-by-step explanation:

The answer is who because whomn is a verb

Can you give me brainlyist

The McNemar's Test can be thought of as the chi-square type equivalent to the paired t-test.

The McNemar's Test is a non-parametric statistical method used to analyze the differences between paired or matched categorical data, such as repeated measurements on a single group. Like the paired t-test, which is used to compare continuous data, the McNemar's Test evaluates the changes in the proportions of success or failure between the paired observations.

This test is particularly useful when dealing with small sample sizes or when the assumptions of normality and homogeneity of variances required for the paired t-test are not met. By using the chi-square distribution, McNemar's Test provides a way to determine the significance of the differences between paired categorical data, while accounting for the dependency between the observations.

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To find the expected number of each animal type treated by the veterinarian, we will multiply the percentage distribution by the total number of animals treated in a month.

Total animals = 230

Dogs: 61% * 230 = 0.61 * 230 = 140.3 (approximately 140)
Cats: 22% * 230 = 0.22 * 230 = 50.6 (approximately 51)
Livestock: 8% * 230 = 0.08 * 230 = 18.4 (approximately 18)
Birds: 6% * 230 = 0.06 * 230 = 13.8 (approximately 14)
Other: 3% * 230 = 0.03 * 230 = 6.9 (approximately 7)

So, the expected number of each animal type treated is:
Dogs: 140
Cats: 51
Livestock: 18
Birds: 14
Other: 7

The correct answer is C) Animal type Dogs Cats Livestock Birds Other Expected 140 51 18 14 7

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The polar equation is given

To determine the radius and center of the polar equation,

The polar equation of a circle centered on an axis , would take the forms.

Negative x-axis.

Then the center is diameter divide by 2.

The diameter is 10.

Hence the circle, diameter of 10, center at (-5,0).

The correct option is C.