the radius of a circle is increasing at a constant rate of 7 feet per minute. at the instant when the radius of the circle is 44 feet, what is the rate of change of the area? round your answer to three decimal places.

Answer:

Answer is D

Step-by-step explanation:

3 = 1/2 (-2) + 4

Equation is: y value = slope (1/2) * x value + y intercept (4)

It will be used to construct the box, while  will be the line inside the box.The box and whisker plot is shown below:Minimum value for the given dataset is 1. Thus, the value of the minimum for this dataset is 1.

A box and whisker plot (also known as a box plot) is a graph that displays the distribution of a dataset using quartiles. Excel and the QUARTILE.INC function can be used to construct a box and whisker plot for the given dataset.The dataset has been included below.Number of credit cards: 3, 4, 3, 1, 2, 3, 4, 1, 2, 3, 1, 2, 1, 1, 1, 2, 2, 2, 1, 3To find the minimum value of the dataset, the box and whisker plot should be constructed first. The quartile.inc function in Excel will be used to construct the plot.Using the quartile.inc function, the first quartile (Q1), second quartile (Q2), and third quartile (Q3) are calculated for the dataset. It will be used to construct the box, while  will be the line inside the box.The box and whisker plot is shown below:Minimum value for the given dataset is 1. Thus, the value of the minimum for this dataset is 1.

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Rate of the given base $23,500 and the portion $6227.50 is equal to 26.5 percent ( nearest tenth ).

As given in the question,

Given base of the required rate is equal to $23,500

Portion of the given base used is equal to $6227.50

Formula to calculate the rate percent is given by :

Rate percent = [(Portion of the given base used) / ( Base) ] × 100

Substitute the value in the formula we get,

⇒ Rate percent = ( 6227.50 / 23,500 ) × 100

⇒ Rate percent = 26.5%

Therefore, rate percent of the given base and the portion used is equal to 26.5%.

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The number of sociology textbooks sold is 192, and the number of biology textbooks sold is 64.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A textbook store sold a combined total of 256 sociology and biology textbooks in a week.

Let x be the number of sociology textbooks sold

Let y be the number of biology textbooks sold

x + y = 256

x = 3y

Using substitution method:

3y + y = 256

4y = 256

y = 256/4

y = 64

x = 192

Thus, the number of sociology textbooks sold is 192, and the number of biology textbooks sold is 64.

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If the population standard deviation is known and you're interested in the standard deviation of the sampling distribution of a sample proportion, you can use the following formula:

Standard Deviation of Sampling Distribution of Sample Proportion = sqrt((p * (1 - p)) / n)

Where:

p is the true proportion of the characteristic you're interested in within the population.

n is the sample size.

The standard deviation of the sampling distribution of the sample proportion is commonly used when you're sampling from a large population and the sampling is done with replacement. It represents the variability of sample proportions you would expect to obtain if you repeated the sampling process many times.

Please note that this formula assumes that the sampling is done under simple random sampling or a similar sampling design, and that the sample size is small relative to the population size (if sampling without replacement). If these assumptions are not met, there are alternative formulas or approaches that should be used.

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Answer: True.

By definition, a stochastic matrix is a square matrix where each entry is a non-negative real number and the sum of each row is 1.

If A is a stochastic matrix and v is a vector in its 1-eigenspace, then we have:

Av = λv

where λ = 1 is the corresponding eigenvalue.

Multiplying both sides by 1/λ = 1, we get:

v = A v

This means that the vector v is also in the range of A, which is a subspace of the vector space R^n.

Since A is a stochastic matrix, the rows of A sum to 1, and therefore the columns of A also sum to 1. This implies that the vector of all 1's, which we denote by u, is also in the range of A.

Since v is a nonzero vector in the 1-eigenspace and u is a nonzero vector in the range of A, the span of v and u is a two-dimensional subspace of R^n.

Moreover, since A is a stochastic matrix, we have:

Au = u

This means that the vector u is also in the 1-eigenspace.

Therefore, the 1-eigenspace of A is a line spanned by the vector u, which is a nonzero vector in the range of A.

if a is a stochastic matrix, then its 1-eigenspace must be a line: True.


A stochastic matrix is a square matrix with non-negative entries where each row sums to one. The 1-eigenspace of a matrix is the set of all eigenvectors with eigenvalue 1.

Let v be an eigenvector of a stochastic matrix A with eigenvalue 1. Then we have Av = 1v.

Multiplying both sides by the transpose of v, we get v^T Av = v^T v.

Since A is a stochastic matrix, its columns sum to 1 and therefore, its transpose has rows that sum to 1. Thus, v^T Av = 1 and v^T v = 1.

This implies that v^T (A-I) = 0, where I is the identity matrix. Since A is stochastic, I is also stochastic and has a unique 1-eigenspace, which is a line spanned by the vector (1,1,....1)^T.

Therefore, v must be a scalar multiple of (1,1,....1)^T, which implies that the 1-eigenspace of A is a line.

Therefore, the statement "if a is a stochastic matrix, then its 1-eigenspace must be a line" is true.

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Answer:

x=90

Step-by-step explanation:

3x-160 = x+20. Why you may ask? they are corresponding angles which makes them congruent. 2x = 180, so x = 90

Answer:

90

Step-by-step explanation:

angle 1 and 4 are equivalent so:

3x - 160 = x + 20

_________________

3x - 160 = x + 20

   +160   I  +160

  3x = x + 180

  - x  I   - x

   2x = 108

   ÷2  I ÷2

      x = 90

With a 95% probability, 62 students should be sampled to be within 0.25 drinks of the population mean.

\(\alpha\) is the level obtained by subtracting 1 from the confidence interval and dividing by 2.

So,

\(\alpha\) = (1 - 0.95) ÷ 2 = 0.25

Now, find z in the Z-table, as z has a p-value of 1 - \(\alpha\).

As a result, z has a p-value of (1 - 0.025) = 0.975

so, z  = 1.96

Now, infer M as follows:

M = z × (σ ÷ √n) where n is the sample size and is σ the population standard deviation.

When M = 1, this is n.

According to the question, the standard deviation is roughly 1.

σ = 1

M = z × (σ ÷ √n)

0. 25 = 1.96 × (1 ÷ √n)

√n = 1.96 × (1 ÷ √n)

Square both sides,

(√n)² = ((1.96 × 1) ÷ 0.25)²

n = (7.84)²

n = 61.4656

n ≈ 62

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Answer:

hay 75 por ciento de color amarillo

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

Answer:

i have made it in pic above

it is seen that if the number of people in the group is n = 23, the probability that at least two people will have the same birthday is at least 1/2.

Let P(A) be the probability that in a randomly selected group of n people, at least two people have the same birthday.

If we assume that the year has 365 days, then the number of ways to select n people with different birthdays is n x (n-1) x (n-2) x ... x (n-364).

the probability of selecting n people with different birthdays is P(A') = n(n - 1)(n - 2)...(n - 364)/365nThen, the probability that at least two people in a group of n have the same birthday is given by P(A) = 1 - P(A').

We need to find the smallest value of n such that P(A) ≥ 1/2.Let's solve for this.Let us find n such that P(A) ≥ 1/2.

By using the complement rule, 1-P(A') = P(A).Then:1 - n(n - 1)(n - 2)...(n - 364)/365n ≥ 1/2n(n - 1)(n - 2)...(n - 364)/365n ≤ 1/2(2)n(n - 1)(n - 2)...(n - 364) ≤ 365n/2Now, take the natural logarithm of both sides and simplify as follows:ln[n(n - 1)(n - 2)...(n - 364)] ≤ ln[365n/2]nln(n) - ln[(n - 1)!] - ln[(n - 2)!] - ... - ln[2!] - ln[1!] ≤ ln[365n/2]

Therefore, we need at least 23 people in the group for the probability of two or more people having the same birthday to be at least 1/2.

This is because n = 23 is the smallest number for which the inequality holds, and therefore, it is the smallest number of people required to ensure that the probability of two or more people having the same birthday is at least 1/2.

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Mia delivers newspapers at a rate of 140 papers per hour.

The correct answer is C.

To determine Mia's delivery rate, we need to calculate the number of newspapers she delivers per hour.

Mia takes \(\frac{5}{7}\) hours to deliver \(\frac{100}{1}\) newspapers.

We can convert the given fraction of time to hours by multiplying the numerator by 1 hour:

\(\frac{5}{7}\) hours = \((\frac{5}{7} )\times1\) hour

= \(\frac{5}{7}\) hour

Now, we can calculate Mia's delivery rate per hour by dividing the number of newspapers she delivers (100/1) by the time it takes her to deliver them (\(\frac{5}{7}\) hour):

Delivery rate = \(\frac{(\frac{100}{1} )}{\frac{5}{7}}\)

= \((\frac{100}{1} )\times(\frac{7}{5} )\)

= \(\frac{700}{5}\)

= \(140\)

Therefore, Mia delivers newspapers at a rate of 140 papers per hour.

The correct answer is C.

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It should be 33.49 sorry if I’m a little off!

Answer:

A.

Step-by-step explanation:

4 is greater than the exact value of -2 and 4 is greater than -2. The exact values of -2 are 2 and -2. 4 is greater than both 2 and -2. Thus, a is correct.  

Answer:

In the case presented, the range is the difference between the maximum value and the minimum value of the data. The range describes the breadth of the data and how much they vary from the minimum value to the maximum value. Therefore, the range indicates the dispersion of the data.

The statement indicates that the range is 5, which means that the most flights made by students is 5. Since the data has a narrow dispersion, we can conclude that most students have taken a similar number of flights, implying that most students have flown an amount close to the maximum number observed.

Therefore, the option that best describes the dispersion of the data is: "The data has a range of 5, which is a narrow dispersion. This means that most students have taken a similar number of flights."

Step-by-step explanation:

\(\blue{\boxed{\bold{\mathbb{SOLUTION}}}}\)

Area of the biggest circle:

\(\pi r^{2}=\pi \times 6^{2}=\pi \times 36 \ cm^2\).

Area of the rectangle:

\(4 \times (2+2+2+2) = 4 \times 8 = 32 \ cm^2\).

Area of the 6 semicircles:

\(6 \times \dfrac{1}{2} \times \pi \times r^2 = 3 \times \pi \times 2^2 = \pi \times 12 \ cm^2.\)

Total shaded area:

Biggest circle area - rectangle area - 6 semicircles area

\(= \pi \times 36 - 32 - \pi \times 12\\= \pi \times (36-12) - 32\\= \pi \times 24 - 32\\= 3.14 \times 24 - 32\\= 75.36 - 32\\= \boxed{43.36 \ cm^2}\)

Therefore, the shaded part area is \(43.36 \ cm^2\).

\(\aqua{\boxed{\mathfrak{Thank \: You}}}\\\aqua{\boxed{\bold{answered \: by: \: akbarsdtazm}}}\)

Answer:

2

Step-by-step explanation:

-16x=-32

you divide=-32 divided by -16

and then x = 2

Answer 2

Step-by-step explanation:

ANSWERS

• d = 6

• d = -6

EXPLANATION

To solve this equation first we have to substract 5 from both sides of the equation:

Now we have to apply the square root on both sides of the equation. Remember that the square root has 2 results: one positive and one negative. But if you apply the square root to a square power, you have the absolute value:

Therefore the solutions of this equation are d = 6 and d = -6

Are 5,040 different possible settings for the suitcase lock if all four digits have to be different.

For the first dial, there are 10 possible digits (0 to 9) that can be set. For the second dial, there are 9 remaining digits to choose from (since we cannot repeat the digit from the first dial). For the third dial, there are 8 remaining digits to choose from (since we cannot repeat any of the digits from the first two dials). Finally, for the fourth dial, there are 7 remaining digits to choose from.

Therefore, the total number of possible settings for the suitcase lock with all four digits different is:

10 × 9 × 8 × 7 = 5,040

There are 5,040 different possible settings for the suitcase lock if all four digits have to be different.

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Answer: $48

Step-by-step explanation:

132 - 84 = 48

EXPLANATION

What to find?

The probability that a person randomly selected from the entire group is a male who responded " hasn't gone far enough"

Given:

To solve, we will follow the steps below:

Step 1

State the formula that can be use to solve the given problem.

From the question given, since it is selected from the whole group, then all possible outcome =220

A male that responded "hasn't gone far away " = required outcome =47

Step 2

Substitute the values into the formula.

ANSWER

The probability is 47/220 =

The calculated values are as follows:

(1101011)2 is equal to (107)10.

(0.11111)2 is equal to (0.96875)10.

(110.11100)2 is equal to (6.875)10.

a. (1101011)2 = (107)10

To convert a binary number to base 10, you need to multiply each digit of the binary number by the corresponding power of 2 and sum up the results.

(1101011)2 = (1 × 2^6) + (1 × 2^5) + (0 × 2^4) + (1 × 2^3) + (0 × 2^2) + (1 × 2^1) + (1 × 2^0)

= (64) + (32) + (0) + (8) + (0) + (2) + (1)

= (107)10

Therefore, (1101011)2 is equal to (107)10.

b. (0.11111)2 = (0.96875)10

To convert a binary fraction to base 10, you need to multiply each digit of the binary fraction by the corresponding negative power of 2 and sum up the results.

(0.11111)2 = (1 × 2^-1) + (1 × 2^-2) + (1 × 2^-3) + (1 × 2^-4) + (1 × 2^-5)

= (0.5) + (0.25) + (0.125) + (0.0625) + (0.03125)

= (0.96875)10

Therefore, (0.11111)2 is equal to (0.96875)10.

c. (110.11100)2 = (6.875)10

To convert a binary number with fractional part to base 10, you need to split the number into its integer and fractional parts. Then, convert each part separately using the same method as in previous examples.

For the integer part:

(110)2 = (1 × 2^2) + (1 × 2^1) + (0 × 2^0)

= (4) + (2) + (0)

= (6)10

For the fractional part:

(0.11100)2 = (1 × 2^-1) + (1 × 2^-2) + (1 × 2^-3) + (0 × 2^-4) + (0 × 2^-5)

= (0.5) + (0.25) + (0.125) + (0) + (0)

= (0.875)10

Combining the integer and fractional parts:

(110.11100)2 = (6) + (0.875)

= (6.875)10

Therefore, (110.11100)2 is equal to (6.875)10.

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Answer:

a

Step-by-step explanation

$1.75 + $0.25x ≤ $15

To show explicitly that l[x−1] does not exist, we need to provide an explanation as to why this limit cannot be computed. One way to do this is to consider the behavior of the function as x approaches the point x=1 from both the left and the right.

If we approach x=1 from the left, we have x-1<0 and so l[x−1] becomes l[negative number]. However, the limit of a function as it approaches a value from the left and right must be the same in order for the limit to exist. Since l[x−1] becomes l[negative number] when approached from the left, and l[x−1] becomes l[positive number] when approached from the right, the limit does not exist.

In other words, we cannot define a unique value for l[x−1] as x approaches 1 because the function behaves differently on either side of 1. Therefore, l[x−1] does not exist.      

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Answer:

b 60 -4x 50 +2x=2,800 is 50 +. 2x

Answer:

brainliest please, i need it and it takes one click

Answer: C. 26°

Step-by-step explanation:

Right triangle: a triangle in which one of the interior angles measures 90°.

This type of angle can be solved using trigonometrical functions. As the measure of the sides given are h and k, then we will use:

In our case, it would be:

cosa = adjacent/hypotenuse

Replacing the values:

cosa = h/k

Solving for a:

cosa-1(cosa) = cos-1(8.1/9)

a = cos-1(8.1/9)

a≈ 25.8 ≈26

Answer: C. 26°

Use elimination

y + z = 4

y - z = 8

Subtract both

2z = -4, z = -2

Y - 2 = 4, y = 6

Solution: y = 6, z = -2

Answer:

pretty sure its b.

hope this helps!

Answer:

i think its none of the above

Step-by-step explanation:

because it can't be vertical since they need to be on opposite sides

it's not complementary because it doesn't equal to 90

it can't be supplementary because line D is not straight

so that's why i think it's none of the above