A cylinder has a base diameter of 4 centimeters and a height of 4 centimeters. What is its volume in cubic centimeters, to the nearest tenths place

Answer:

You gotta give us the numbers at least!

Step-by-step explanation:

Answer:

A. Jorge distributed incorrectly.

Step-by-step explanation:

4x - (x + 20) + 6 = 2(3x + 8)

4x - x - 20 + 6 = 6x + 16

3x - 14 = 6x + 16

3x - 6x = 16 + 14

-3x = 30

x = -10

For Step 1 of Jorge's work, he writes "4x - x + 2 + 6 = 6x + 16", instead of "4x - x - 20 + 6 = 6x + 16". That is the error that messes up the rest of his calculations.

What he did wrong does not apply to addition, subtraction, multiplication, or division, so we can eliminate choices C and D. Jorge isn't combining like terms, either, so we can eliminate choice B. What Jorge did wrong was that he distributed incorrectly, so that is your answer: A. Jorge distributed incorrectly.

Hope this helps!

Answer:

A is correct and thank you to the other person who answered i didn’t fail

Step-by-step explanation:

just took the quiz on edge

The work done in stretching the spring from 3 ft. beyond its natural length to 7 ft. beyond its natural length is 400/3 or 133.33 foot-pounds (rounded to two decimal places).

The work done in stretching the spring from 3 ft. beyond its natural length to 7 ft.

beyond its natural length can be calculated as follows:

Given that the force required to hold a spring stretched 3 ft. beyond its natural length = 20 lb

The work done to stretch a spring from its natural length to a length of x is given by

W = (1/2)k(x² - l₀²)

where l₀ is the natural length of the spring, x is the length to which the spring is stretched, and k is the spring constant.

First, let's find the spring constant k using the given information.

The spring constant k can be calculated as follows:

F = kx

F= k(3)

k = 20/3

The spring constant k is 20/3 lb/ft

Now, let's calculate the work done in stretching the spring from 3 ft. beyond its natural length to 7 ft. beyond its natural length.The work done to stretch the spring from 3 ft. to 7 ft. is given by:

W = (1/2)(20/3)(7² - 3²)

W = (1/2)(20/3)(40)

W = (400/3)

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Answer:

12 Feet

Step-by-step explanation:

It's the same as Pythagoream Theroem, just backwards!

The equation I used was...

x^2 + 9^2 = 15^2 (Square the two numbers)

x^2+ 81 = 225 (Subtract 81 from both sides)

x^2 = 144 (Find the square root of 144)

x = 12

The probability of p(placebo and improvement) is 7.6%.

Here, we have,

Given that

Participants in a study of a new medication received either medication A or a placebo.

We have to find

The probability of P(placebo and improvement).

According to the question

Participants in a study of a new medication received either medication A or a placebo.

Let Probability that participants received medication A = P(M) = 0.80

Probability that participants received placebo = P(P) = 1 - P(M) = 1 - 0.80 = 0.20.

Because there are only two cases either medication A or a placebo.

Let I = event that there is an improvement.

Also, the Probability that participants reported improvement given that they had received medication A = P(I/M) = 0.76

The probability that participants reported no improvement given that they had received placebo = P(I'/P) = 0.62

So, Probability that participants reported improvement given that they had received placebo is,

=  P(I / P) = 1 - P(I' / P) = 1 - 0.62 = 0.38

Now, Probability of (placebo and improvement) = Probability that participants received placebo times Probability that participants reported improvement given that they had received placebo.

P(placebo and improvement) =  P(P)  times  P(I / P)  

P(placebo and improvement) =  0.20 times 0.38  =  0.076  or  7.6%

Therefore, the required probability of p(placebo and improvement) is 7.6%.

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Answer:

36 inches but im really not sure though because you got to times them together and then divide by 2

To find the sum of the digits of all possible values of 'a', we need to add the sum of the digits of each value of abc. The sum of the digits for all possible values of a would be 8 + 7 + 15 + ... + 27, which can be calculated further.

The divisibility rule for 125 states that a number is divisible by 125 if the last three digits are divisible by 125. In the case of 24687abc, we know that the last three digits (abc) must be divisible by 125. This means that abc must be a multiple of 125. The smallest multiple of 125 is 125, and the largest is 999, so the possible values of abc are 125, 250, 375, 500, ..., 999.

The sum of the digits of each possible value of a can be calculated by adding the individual digits of each value of abc. For example, for the value 125, the sum of the digits is 1 + 2 + 5 = 8. For the value 250, the sum of the digits is 2 + 5 + 0 = 7. For the value 375, the sum of the digits is 3 + 7 + 5 = 15.

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It is safe to say that it is nearly impossible for devices to be produced at zero production costs.

It is highly unlikely that any devices will be produced if the production cost is R0,00 (assuming R refers to South African Rand). There are various factors involved in the production of devices, including the cost of materials and labor, research and development, marketing, and distribution costs.

Even if we disregard the cost of materials and labor, there are still other production expenses that cannot be escaped, like facility costs, machinery, and intellectual property rights. Furthermore, marketing and distribution costs add considerable expenses.

Therefore, it is safe to say that it is nearly impossible for devices to be produced at zero production costs. Even if a device could somehow be developed without incurring any initial costs, other costs incurred during the device's production, such as power costs, facility rent, and salaries, would have to be covered. Therefore the reality is that there is always a cost involved in producing any device, and that cost must be factored in for any real-world production.

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Answer:

y=9, x=7

Step-by-step explanation:

2x-y=5 --> equation 1

2x-5y=-31 --> equation 2

change signs of equation 1

-2x+y=-5

solving method

-2x+y=-5                   (cut -2x and 2x because -2x+2x =0)

2x-5y=-31                       (likewise +y-5y and -5-31)

-4y= -36            (since -4 is multiplying on right side it will divide)

y= -36/-4             (cut negative with negative and simplify equation)

y= 9                  

put value of y in equation 1

2x-y=5

2x-9=5

2x= 14

x=14/2

x=7

Answer:

The decimal number system in use today was first recorded in Indian mathematics.

Step-by-step explanation:

In the classical period of Indian mathematics (400 AD to 1200 AD), important contributions were made by scholars like Aryabhata, Brahmagupta, Bhaskara II, and Varāhamihira. The decimal number system in use today was first recorded in Indian mathematics.

Answer:

Decimal point system.

Step-by-step explanation:

Answer:

y = 1/3x + 1

Step-by-step explanation:

4-3/9-6

1/3.  slope = 1/3 = m

2. plug the values into the equation to find y-int. You can use whichever point is given to you

I'll use (6,3)

y = mx + b

3 = 1/3(6)+b

1/3(6)=2

3 = 2 + b

3. subtract 2 from both sides and you get b

b = 1

So, the equation of the line would be

y = 1/3x + 1

The routine in section 2.4.4 is generally faster and more efficient than the simple routine for computing f(x) = xn, especially for large values of n.

The amount of time used to compute f(x) = xn using a simple routine to perform exponentiation depends on the values of x and n. However, in general, the time complexity of this simple routine is O(n), meaning that the time used to compute f(x) increases linearly with the value of n.

On the other hand, the routine in section 2.4.4 uses a more efficient algorithm to perform exponentiation, with a time complexity of O(log n). This means that the time used to compute f(x) using this routine increases at a much slower rate as the value of n increases.

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Answer:

174 Sq feet

Step-by-step explanation:

30+90+54 just add.

Answer:

174 sq ft

Step-by-step explanation:

Formula:

A = Lw

Note:

A rectangle has 3 set of different side.

Solve:

A = Lw

A = 5 × 9

A = 45 ×  2

A = 90

A = Lw

A = 5 × 3

A = 15× 2

A = 30

A = Lw

A = 3 × 9

A = 27× 2

A = 54

90 + 30 + 54 = 174 sq ft

Kavinsky

Standardized test score that represents 70th percentile is 86.

Percentile is a comparison score between someone's score and the scores of the rest of the group. It tells the percentage of surpassed scores.

Data set = 48, 65, 72, 86, 84, 52, 93, 97, 81, 80

Sample size, n = 10

Now, arrange numbers in ascending order.

48, 52, 65, 72, 80, 81, 84, 86, 93, 97

Formula for percentile is,

Percentile = ( Number of Scores below 86 / Sample size ) x 100

Percentile = ( 7 /10 ) x 100

= (0.7) x 100

= 70%

Therefore, we can conclude that 70th percentile is = 86.

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Answer:

M= 1/5

Step-by-step explanation:

I know because I'm learning this right now in my AP class.

Answer:

slope = - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{5}\) x - 1 ← is in slope- intercept form

with slope m = \(\frac{1}{5}\)

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{vertex}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{1}{5} }\) = - 5

Answer:

It will take 2 snacks for Benjamin and Landon to spend the same amount

Step-by-step explanation:

Assume they bought x snacks

∵ Benjamin spends $9.50 for a movie ticket at Emagine and $4.50

  for each snack

∵ He bought x snacks

→ Multiply the number of snacks by 4.50 and add it to 9.50

∴ The amount he spent = 4.50x + 9.50

∵ Landon spends $8 for a movie ticket at AMC and $5.25 for each snack

∵ He bought x snacks

→ Multiply the number of snacks by 5.25 and add it to 8

∴ The amount he spent = 5.25x + 8

∵ They spent the same amount of money

→ Equate the right sides of their amount spent

∴ 5.25x + 8 = 4.50x + 9.50

→ Subtract 4.50x from both sides

∵ 5.25x - 4.50x + 8 = 4.50x - 4.50x + 9.50

∴ 0.75x + 8 = 9.50

→ Subtract 8 from both sides

∵ 0.75x + 8 - 8 = 9.50 - 8

∴ 0.75x = 1.50

→ Divide both sides by 0.75

∴ x = 2

∵ x represents the number of snacks they bought

∴ It will take 2 snacks for Benjamin and Landon to spend the same amount

Answer:

(2, -1)

Step-by-step explanation:

The lines intersect at (2,-1), I graphed out the equations

The value of power is 27/64.

Rochelle used these steps to evaluate the power.

\( \left (\dfrac{3}{4}\right )^3\)

What is the value of power?

To determine the value of the power following all the steps given.

Expression; \( \left (\dfrac{3}{4}\right )^3\)

Then,

The value of power is,

\(= \dfrac{3}{4} \times \dfrac{3}{4} \times \dfrac{3}{4}\\ \\ = \dfrac{9}{16} \times \dfrac{3}{4}\\\\ = \dfrac{27}{64}\)

Hence, The value of power is 27/64.

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Answer:

-27/64

Step-by-step explanation:

Using the concepts of unitary method, we got that 4 cups of  pancake mix will be required to yield 60 pancakes.

The unitary method is the method for solving the problem by the first value of a single unit and then finding the value by multiplying the single value.

We are given that one cup of pancake mix will yield 15 pancakes, and we are asked to yield 60 pancakes.

So,15 pancakes will be yielded by as many as pancake mix=1

therefore, 60  pancakes will be yielded by as many as pancake mix=(60/15)=4.

Hence, if one cup of pancake mix will yield 15 pancakes, then  4 cups of pancake mix will be required to yield 60 pancakes.

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Answer:

5 + 4 snice it's inside the circle and when you get your answer you times it with 3

Step-by-step explanation:

( 5 + 4 ) x 3

  9 x 3

27

(5+4) x 3 = 27

Answer: 4mn+2m^2 -26m+ 11

Step-by-step explanation:

Answer: --1• (3m + 4n -- 24)

Step-by-step explanation:

I have done this equation before I just can find how to do the problem sorry

Answer:

\(\dfrac{c}{2}\)

Step-by-step explanation:

We can simplify the given expression by canceling like terms.

Remember that anything divided by itself is 1.

ex:

\(\dfrac{2x}{x} = 2 \cdot \dfrac{x}{x} = 2 \cdot 1 = 2\)

Applying this logic to the given expression:

\(\dfrac{a}{2b} \cdot \dfrac{bc}{a}\)

↓ simplify multiplication of fractions

\(\dfrac{a \cdot bc}{2b \cdot a}\)

↓ rewrite to align like variables

\(\dfrac{a \cdot b \cdot c}{a \cdot b \cdot 2}\)

↓ separate out variables that are divided by each other

\(\dfrac{a}{a} \cdot \dfrac{b}{b} \cdot \dfrac{c}{2}\)

↓ represent them as 1

\(1 \cdot 1 \cdot \dfrac{c}{2}\)

↓ rewrite without unnecessary 1's

\(\dfrac{c}{2}\)

First, we convert 1/2% to a decimal.

Similarly:

The required no . is ( - 10. 4 ) .

According to ques .

10 * [ ( 1 / 2 ) x + 6 ] = 8

Solving linear equation in one variable above ,

( 1 / 2 ) x = ( 8 / 10 ) - 6

( 1 / 2 ) x = - 52 / 10

x = (  - 52 / 10 ) * 2

x = - 10 . 4

Hence , the no . is ( - 10 . 4 ) .

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We can conclude that only some of the ratios in Table A are greater than the ratios in Table B. (option-c)

To compare the ratios of squares to circles in the tables, we must divide the value in the Squares column by the value in the Circles column for each row in the table.

For Table A, the ratios of squares to circles are:

5/3 = 1.67

10/6 = 1.67

For Table B, the ratios of squares to circles are:

10/3 = 3.33

20/9 = 2.22

Comparing the ratios in Table A to the ratios in Table B, we see that the first two ratios are equal (1.67) and the last two ratios are different (3.33 in Table B is greater than 1.67 in Table A, and 2.22 in Table B is less than 1.67 in Table A).

Specifically, the ratio in the second row of Table B is greater than both ratios in Table A, but the ratios in the first row of each table are equal.(option-c)

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Answer:

The length for which 98% of the nails will be longer is approximately 6.466 cm.

Step-by-step explanation:

First, we need to convert the units of the standard deviation to centimeters, since the mean is also given in centimeters. 2 mm is equal to 0.2 cm.

Next, we need to find the z-score that corresponds to the 98th percentile. We can use a standard normal distribution table or calculator to find this value. The z-score corresponding to the 98th percentile is approximately 2.33.

Finally, we can use the formula for a z-score to find the length of nail corresponding to this z-score:

where:

Solving for x, we get:

Therefore, the length for which 98% of the nails will be longer is approximately 6.466 cm.

Answer:

4.7

Step-by-step explanation:

In this scenario, the number of accidents experienced by each policyholder in a year follows a Poisson distribution. The mean of the Poisson distribution varies among policyholders.

Let X denote the Poisson mean for a randomly chosen policyholder. The given exponential density function is g(x) = de^(-λx), where λ is a constant equal to 120. We need to find P(X = 3), which is the probability that a policyholder has exactly 3 accidents.

To compute this probability, we can use the formula for the Poisson probability mass function:

\(P(X = k) = e^{(-\lambda)} * (\lambda^k) / k!\)

In our case, we substitute k = 3 and λ = X into the formula:

\(P(X = 3) = e^{(-X)} * (X^3) / 3!\)

However, the Poisson mean X follows an exponential distribution, so we need to consider this distribution in our calculation. To find P(X = 3), we can integrate the above expression over the range of X values according to the exponential density function g(x):

\(P(X = 3) = \int[0, \infty ] e^{(-x)} * e^{(-x\lambda)} * ((x\lambda)^3) / 3! dx\)

Simplifying and solving this integral will yield the final probability value.

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Answer:

3 gallons

Step-by-step explanation:

1/6+1/6=2/6=1/3

1/3x3=3/3=1

Answer:

13x^2+2x+5

Step-by-step explanation:

that is the right answer

You have to combine the like terms.

Answer:

\(40x^{4}\) - \(9x^{3}\) + \(46x^{2}\) + 6x + 16

Step-by-step explanation: