the radius of a spehere is increasing at a rate of 2 mm/s how fast is the volume increasing when the diameter is 100mm evaluate your answer numerically

In summary: Sequence 1 has no term out of increasing order. Sequence 2 has the first term out of increasing order at position 2. Sequence 3 has the first term out of increasing order at position 7. Sequence 4 has the first term out of increasing order at position 4. Sequence 5 has the first term out of increasing order at position 3.

1 5 78 99 101 202 400: This sequence is in increasing order throughout, so there is no term that breaks the increasing pattern.

5 2 7 90 85 80 72: The sequence starts with 5, then decreases to 2 (out of increasing order) at position 2.

5 6 9 10 14 21 20: The sequence is increasing until position 6, where it reaches 21. However, the next term, 20, is lower than the previous term, 21 (out of increasing order) at position 7.

3 7 10 9 8 14 17: The sequence starts with 3 and increases until position 3 (10). However, at position 4, the next term, 9, is lower than the previous term, 10 (out of increasing order).

5 77 25 45 22 94 58 99: The sequence is increasing until position 2, where it reaches 77. However, at position 3, the next term, 25, is lower than the previous term, 77 (out of increasing order).

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Answer:

Step-by-step explanation:

14√5 - 50√2

Answer:

The coordinates of the midpoint of the segment is (1,3.5)

Step-by-step explanation:

In this question, we are concerned with finding the coordinates of the mid point of the line that joins segment lb

To do this, we shall be using the midpoint formula;

(x,y) = (x1 + x2)/2, (y1 + y2)/2

Where (x1,y1) = (8,5)

(x2,y2) = (-6,2)

Thus;

(x, y) = (8 + (-6))/2, (5 + 2)/2

(x ,y) = (2/2), (7/2)

(x,y) = (1,3.5)

My sample will include people who are  older. I will survey those people through an online survey that I will send out email or post

I will use targeted ads on social media platforms ,I will also use search engine optimization (SEO)to ensure that my survey is seen by the right people. The survey will be conducted over a  two weeks. In order to ensure that I get a representative sample of people, I will use demographic and psychographic targeting. This will include targeting people based on their age, gender, location, interests, and other relevant characteristics. My sample will include people who are  older. I will survey those people through an online survey that I will send out email or post

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Answer:

\(\frac{1}{3}\)

Step-by-step explanation:

you multiply the denominator with the denominator and the numerator with the numerator

\(\frac{5}{6}x\frac{2}{5}\)

\(\frac{5x2}{6x5}\)

\(\frac{10}{30}\)

\(\frac{1}{3}\)

Hopes this helps please mark brainliest

Answer:

25, because it is the constant change in price each month

Step-by-step explanation:

Answer:

25 because it flows in within the months.

To estimate the proportion of all new cell phone batteries that fail to last through a claimed number of charges, a consumer group will use a random sample and construct a percent confidence interval based on the proportion of batteries that fail to last through the charges in the sample.

To construct a confidence interval to estimate the proportion of all such batteries that fail to last through charges, the following steps can be followed:

Determine the sample size:

The consumer group should select a random sample of cell phones with the new battery and use the phones through charges of the battery.

The sample size should be determined based on the desired level of precision and confidence level.

A larger sample size will provide a more precise estimate.

Calculate the sample proportion:

The consumer group should record the proportion of batteries that fail to last through charges in the sample.

Calculate the standard error:

The standard error can be calculated using the formula:

\(SE = \sqrt{(p_hat * (1 - p_hat) / n) }\)

where \(p_hat\) is the sample proportion and n is the sample size.

Calculate the margin of error:

The margin of error can be calculated using the formula:

ME = z * SE

where z is the critical value from the standard normal distribution corresponding to the desired confidence level.

For example, if the desired confidence level is 95%, then z = 1.96.

Calculate the confidence interval: The confidence interval can be calculated using the formula:

\(CI = (p_hat - ME, p_hat + ME)\)

This interval represents the range of values within which the true proportion of batteries that fail to last through charges is expected to fall with the desired level of confidence.

For example, suppose a random sample of 100 cell phones with the new battery is selected, and the proportion of batteries that fail to last through charges is found to be 0.10. If a 95% confidence level is desired, the standard error can be calculated as:

SE = \(\sqrt{(0.10 * 0.90 / 100)}\) = 0.03

The margin of error can be calculated as:

ME = 1.96 * 0.03 = 0.06

The 95% confidence interval can be calculated as:

CI = (0.10 - 0.06, 0.10 + 0.06) = (0.04, 0.16)

Therefore, we can say with 95% confidence that the proportion of all such batteries that fail to last through charges is expected to be between 0.04 and 0.16.

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Answer:

3.50

Step-by-step explanation:

1.25 x 2 = 2.50

2.50 + 4.50 = 7

7 / 2 = 3.50

Hope this helps!

Answer:

It is D

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

8(2x – 14) + 13 = 4x – 27

Lets go in the order of PEMDAS (Parantheses, Exponents, Multiplication, Division, Addition, Subtraction)

First, distribute 8.

8(2x – 14)

\(8*2x=16\)

\(8*-14=-112\)

So now our equation is:

16x – 112 + 13 = 4x – 27

Now we can add. We will add 13 to -112.

\(-112 +13=-99\)

Now our equation looks like this:

16x – 99 = 4x – 27

Now we have to try to get the variable (x) on one side of the equation.

To do this, we will subtract 4x from both sides of the equation.

16x – 99 = 4x – 27

-4x            -4x

12x - 99 = -27

Now we can add 99 to -27.

\(99 + (-27) = 72\)

Now we have

12x = 72

Our last step is to divide both sides by 12:

\(\frac{12x}{12}= \frac{72}{12}\)

We get x = 6.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

−Kallmekrish

Answer:

Step-by-step explanation:

A.

8(2x – 14) + 13 = 4x – 27

Step 1: Distribute 8, meaning multiply 2x and -4 using 8

8(2x – 14)

8(2x) + 8(-14)

16x - 112

New equation:

16x - 112 + 13 = 4x – 27

Step 2: Add any numbers or like terms:

16x - 112 + 13 = 4x – 27

16x - 109 = 4x - 27

New equation:

16x - 99 = 4x - 27

Step 3: Isolate the variable on one side

16x - 99 = 4x - 27

-4x           -4x

12x - 99 = - 27

     + 99   + 99

12x = 72

Step 4: Divide both sides by 12

12x = 72

/12    /12

x = 6

B.

Check your answer:

8(2x – 14) + 13 = 4x – 27

8(2(6) - 14) + 13 = 4(6) - 27

8(12 - 14) + 13 = 4(6) - 27

8(-2) + 13 = 24 - 27

-16 + 13 = 24 - 27

-3 = -3

This statement is correct

Therefore, our answer (x = 6) is correct.

Hope this helps!

Answer:

c.23

Step-by-step explanation:

easy keep sendin em

The probability of answering a question correctly is 0.7 + 0.3/N.

Given: N answer choices for each question; a student knows the answer to 70% of the questions; and the student guesses uniformly and at random for remaining 30% of the questions.

Let K be the event that the student knows the answer to a question and R be the event that the student answers the question correctly.

The probability of event K can be calculated as:

P(K) = 0.7The probability of event K' (not knowing the answer) can be calculated as:

P(K') = 0.3The probability of event R given K can be calculated as:

P(R|K) = 1The probability of event R given K' can be calculated as:P(R|K') = 1/N

Therefore, the probability of event R can be calculated using the law of total probability:

P(R) = P(K)P(R|K) + P(K')P(R|K')P(R)

= 0.7 × 1 + 0.3 × (1/N)P(R)

= 0.7 + 0.3/N

Therefore, the probability of answering a question correctly is 0.7 + 0.3/N.

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(2 + 5i)^2 − 20i = -16 + 20i

(4i)(-4i) ÷ 17 = -16i^2 / 17 = 16/17

(3 + 2i)^2 − (2 + 3i)^2 = -10 + 20i

2i(5 + 4i) − 5(3 + 2i) = -7 - 8i

(-2i)^4 = 16

(3i)^3 = -27i

(27i)^-1 = -i/27

10, -20, 16

For (2 + 5i)^2 − 20i, we square the complex number, which gives 4 + 20i - 25 + 20i. Combining like terms, we get -21 + 40i, which simplifies to -16 + 20i.

For (4i)(-4i) ÷ 17, we multiply -4i with itself, which gives -16i^2. Since i^2 is equal to -1, we have -16(-1) ÷ 17 = 16/17.

For (3 + 2i)^2 − (2 + 3i)^2, we square both complex numbers, resulting in 9 + 12i + 4i^2 − 4 − 12i − 9i^2. Simplifying further, we get -10 + 20i.

For 2i(5 + 4i) − 5(3 + 2i), we perform the multiplication and combine like terms to obtain -7 - 8i.

For (-2i)^4, we raise -2i to the power of 4, which equals 16.

For (3i)^3, we cube 3i, resulting in -27i.

For (27i)^-1, we find the reciprocal of 27i, which is -i/27.

The simplified expressions and their corresponding solutions are:

(2 + 5i)^2 − 20i = -16 + 20i

(4i)(-4i) ÷ 17 = 16/17

(3 + 2i)^2 − (2 + 3i)^2 = -10 + 20i

2i(5 + 4i) − 5(3 + 2i) = -7 - 8i

(-2i)^4 = 16

(3i)^3 = -27i

(27i)^-1 = -i/27

The solutions for the expressions are 10, -20, and 16.

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r+6  is the expression  represents the number of marbles that  conrad  has

Conrad has 6 more marbles than rory.

If r represents the number of marbles that rory has,

r = marbles that Rory has

r+6 = marbles that Conrad has

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Answer:

1. a^4.

2. 9c³.

3. 8z^6.

4. 4b²a.

5. 20q(if the 2 isn't an exponent)

if it is,

20q².

6.x²y².

7. j²k²i.

All the best.

Answer:

Step-by-step explanation:

\(1.(a^{2})^{2}= a^{2*2}=a^{4}\\\\\\2. (3c)^{3}=3^{3}*c^{3} = 27c^{3}\\\\\\3.(2z^{2})^{3}=2^{3}*(z^{2})^{3}=8z^{2*3}=8z^{6}\\\\\\4.a(2b)^{2}=a*2^{2}b^{2}=4ab^{2}\\\\\\5.5(q^{2})^{2} = 5q^{2*2}=5q^{4}\\\\\\6.(xy)^{2}=x^{2}y^{2}\\\\\\7i(jk)^{2}=ij^{2}k^{2}\)

Answer:

5r+75≥300

Step-by-step explanation:

the money they plan to get from selling tikets: $5r all the money: $(75+5r) clothing costs' $300 so 54+75≥300

(if they want to make money then all the money ≥ clothing cost )

The solution of the inequality 5r + 75 ≥ 300 is greater than or equal to 45.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The pirouette dance group needs more than $300 to cover outfit costs. they have $75 and plan to sell pool tickets for $5 each to fund-raise.

Let 'r' be the number of raffle tickets the team needs to sell.

Then the equation is given as,

5r + 75 ≥ 300

Simplify the inequality, then we have

5r + 75 ≥ 300

5r ≥ 300 - 75

5r ≥ 225

r ≥ 225 / 5

r ≥ 45

The solution of the inequality 5r + 75 ≥ 300 is greater than or equal to 45.

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Answer:

The boy's age is 8, the younger brother's age is 4.

\(x = y + 8\\x(likely~8?) + 4 = 2 * (y + 4)\)

\(x = 2*y\)

To find the younger brother's age using the given values...

\(8 + 4 = 12\)

That said, everything matches up with the equation. The first brother is twice the age of his younger brother.

After four years their age..

So

ATQ

We need to solve through equation then

Now

From both

Now younger brother=8-4=4yrs

Answer:

I think you should start with a table and then write all your points for x then in the next column your answers for y.

Then take your medium and start drawing.

I suggest your x's should start from 0 and increase by 1 or 2

Then when you reach a certain point then go back to 0 and start doing your negatives.

For example if y = 2x

x | y

0|0

1 | 2

2| 4

3|6

4|8

....

then

16|32

0|0

-1|-2

-2|-4

Thanks for this question. I am working my way up to brainliest answer and Master Answerer. This answer took a lot of time to type so I hope I get good review.

:)

:)

Step-by-step explanation:

Answer:

as in the number line negative digits occur on the left side if we subtract -2 from -8 we will get our answer that is -6

Step-by-step explanation:

-8-(-2)

-8+2

-6

Answer:

$244.51

Step-by-step explanation:

Credit card payment =$5390

After paying $2300 from savings account,

Remaining payment left     = 5390-2300 = $3090

APR = 16.5% or 0.165

Time (t) = 14 months = 14/12 years

Using credit card payment calculator,

Monthly payment = $244.15

Hence, minimum monthly payment to be made to pay off the whole debt in 14 months = $244.15

Answer:

Option C.

Step-by-step explanation:

It is given that,

\(P(A)=\dfrac{1}{4}\)

\(P(B)=\dfrac{13}{20}\)

It is given that events A and B are mutually exclusive. It means they have no common elements.

\(P(A\cap B)=0\)

We know that,

\(P(A\ or\ B)=P(A\cup B)=P(A)+P(B)-P(A\cap B)\)

On substituting the values, we get

\(P(A\cup B)=\dfrac{1}{4}+\dfrac{13}{20}-0\)

\(P(A\cup B)=\dfrac{5+13}{20}\)

\(P(A\cup B)=\dfrac{18}{20}\)

\(P(A\cup B)=\dfrac{9}{10}\)

Therefore, the correct option is C.

The P (A or B) should be \(\frac{9}{10}\)

Given that,

Based on the above information, the calculation is as follows:

\(= \frac{1}{4} + \frac{13}{20}\\\\= \frac{5+13}{20} \\\\= \frac{18}{20}\\\\= \frac{9}{10}\)

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The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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The angle of the tangent line at point C is not the same as the angle of the radius of ⊙N. Therefore, none of the statements are true for ⊙N at point C.

What is angle?

Angle is a geometric concept used to describe the relationship between two lines or planes that intersect. The angle is measured in degrees, and it is the amount of turn between the two lines or planes. Angles can be acute (less than 90 degrees), right (90 degrees), obtuse (more than 90 degrees), or straight (180 degrees). Angles are used in mathematics, engineering, architecture, and design.

The radius of ⊙N is the same at point C as it is elsewhere: False
The slope of the tangent line at point C is the same as the slope of the radius of ⊙N: True
The angle of the tangent line at point C is the same as the angle of the radius of ⊙N: False

A tangent line is a line that intersects a circle at a single point and is perpendicular to the radius of the circle at that point. This means that at point C, the tangent line is touching the circle at just one point and is perpendicular to the radius of the circle at that point. However, the radius of ⊙N is not the same at point C as it is elsewhere, so the radius and the slope of the tangent line at point C are not the same. Furthermore, the angle of the tangent line at point C is not the same as the angle of the radius of ⊙N. Therefore, none of the statements are true for ⊙N at point C.

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Complete questions as follows-

Given DC
is tangent to ON at point o, is each statement true for ON ? Drag "true" or "false" below each statement

The total surface area of the pyramid is: 208.88 m²

The surface area of the pyramid is simply the sum of the areas of all the given surfaces.

Formula for the area of a triangle is:

Area = ¹/₂bh

where:

b is base

h is height

Area of four side triangles = 4(¹/₂ * 8 * 12) = 192 m²

Using Pythagoras theorem, the height of the base triangle is:

x = 4.22

Area of base = ¹/₂ * 8 * 4.22 = 16.88 m²

Total surface area = 192 + 16.88

= 208.88 m²

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Answer:b=39 degrees

Step-by-step explanation:

We know the whole angle is a 90 degree angle because of the right angle sign. So all we have to do is subtract 51 from 90, which is 39 degrees

The chances that a smoker has lung disease are approximately 9.4%. This probability is calculated using Bayes' theorem, considering the percentage of the population with lung disease, the percentage of smokers among those with lung disease, and the percentage of smokers among the total population.

To calculate the chances that a smoker has lung disease, we need to use conditional probability. Let's break down the given information:

- 7% of the population has lung disease.

- Of those with lung disease, 90% are smokers.

- Of those without lung disease, 74.7% are non-smokers.

We are interested in finding the probability of a smoker having lung disease. We can use Bayes' theorem to calculate this probability.

Let's define the events:

A = Having lung disease

B = Being a smoker

We want to find P(A|B), which is the probability of having lung disease given that the person is a smoker.

According to Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / P(B)

P(B|A) = Probability of being a smoker given that the person has lung disease = 90% = 0.9

P(A) = Probability of having lung disease = 7% = 0.07

P(B) = Probability of being a smoker = ?

To calculate P(B), we need to consider the overall population. The percentage of the population that has lung disease is 7%, and the percentage of smokers among the total population is not given. However, we can calculate it using the information provided.

Let's denote the percentage of non-smokers among the total population as NS. Then, the percentage of smokers among the total population is 100% - NS.

NS = Percentage of non-smokers among the total population = 100% - Percentage of smokers among the total population

NS = 100% - (100% - 7%) * (100% - 74.7%)

Simplifying the equation, we find:

NS ≈ 10.813%

Therefore, the percentage of smokers among the total population is approximately 100% - NS ≈ 89.187%.

Now, we can substitute the values into Bayes' theorem:

P(A|B) = (0.9 * 0.07) / 0.89187

Calculating the expression, we find:

P(A|B) ≈ 0.094, which is approximately 9.4%.

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The radius of convergence, denoted as r, of the series ∑(n=1 to infinity) (-1)^n * x^n / 7^n is 7.

The radius of convergence can be determined using the ratio test, which states that for a power series ∑(n=0 to infinity) a_n * (x - c)^n, if the limit of the absolute value of (a_(n+1) / a_n) as n approaches infinity exists, then the series converges if the limit is less than 1 and diverges if the limit is greater than 1.

In this case, a_n = (-1)^n / 7^n, and we can apply the ratio test:

|(-1)^(n+1) * x^(n+1) / 7^(n+1)| / |(-1)^n * x^n / 7^n| = |x / 7|

As n approaches infinity, the absolute value of (x / 7) remains constant. Thus, for the series to converge, |x / 7| < 1, which implies that |x| < 7. Therefore, the radius of convergence is 7.

Note that the endpoints of the interval of convergence should be checked separately to determine if the series converges at those points.

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