Jude says that the volume of a square pyramid with base edges of 12 in and a height of 10 in is equal to the volume of a cylinder with a radius of 6.77 in and a height of 10 in. Jude rounded his answers to the nearest whole numbers. Examine Jude's calculations. Is he correct? Volume of Square Pyramid Volume of Cylinder V = one third B(h) V = one thirdÏr2h V = one third(144)(10) V = one thirdÏ(6.772)(10) V = one third(1440) one thirdÏ(45.8329)(10) V = 480 in3 V = one thirdÏ(458.329) V â 480 in3 Group of answer choices 1.Yes, his calculations are correct and the volumes for figures are equal. 2.No, he made a mistake in solving for the volume of the cylinder. 3.Yes, but he made a mistake in solving for the volume of the square pyramid. 4.No, he made a mistake in solving for the volume of both figures.

Answer:

10

Step-by-step explanation:

Plugin your answer: -4 + 10 = 6

Answer:

10

Step-by-step explanation:

Answer:

the answer is 1.24 (my answer need to be 20 characters long so I'm adding this)

Answer:

Counterclockwise rotation 90°

Step-by-step explanation:

first quadrant graph -> 2nd quadrant

Counterclockwise rotation 90° : (x,y) -> (-y , x)

You can use the procedures listed below to determine a circle's radius:

Determine the information given: You must first determine what other measurements are given before calculating the radius. Usually, the circle's diameter or circumference is specified.

Utilize the formula: Once the given information has been located, you can use the formula that connects the radius to that measurement. The radius of a circle is calculated using the following formulas: r = d/2 (where d is the diameter) or r = C/2 (where C is the circumference).

Replace values: Enter the specified diameter or circumference into the relevant formula, then solve for the radius.

Simplify: If necessary, make the expression simpler to arrive at the final result.

For example, if the diameter of a circle is 10 cm, you can find the radius by dividing the diameter by 2:

r = d/2 = 10/2 = 5 cm

So the radius of the circle is 5 cm.

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Answer:

x=-3

Note:I'm not really an expert on math(Only some part of math/algerba )

Answer:

15%

Step-by-step explanation:

$80 . . . 100%

$12 . . .    x%

x= 12*100/80=15

Answer:

Here is your answer

Step-by-step explanation:

113/8= 14 and 1/8th

1. An event that is likely to happen, but not certain, for the number Kenisha calls is that it is a prime number. While there are several prime numbers between 1 and 75, it is not guaranteed that the number she calls will be prime. However, given the range of numbers, the probability of calling a prime number is relatively high.

2. An event that is unlikely to happen, but not impossible, for the number Kenisha calls is that it is a perfect square. Perfect squares are numbers that can be expressed as the square of an integer. In the range of 1 to 75, there are only a few perfect squares, so the chances of calling one as the bingo number are relatively low, but not impossible.

3. An event that is certain to happen for the number Kenisha calls is that it will be an integer. Since the game is played with whole numbers from 1 to 75, the number called will always be an integer, as it represents a specific whole number in the given range.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The solution is given below.

1. An event that is likely to happen, but not certain, for the number Kenisha calls is that it will be an odd number. Since there are 75 numbers in total and half of them are odd, there is a higher probability that the number called will be odd.

2. An event that is unlikely to happen, but not impossible, for the number Kenisha calls is that it will be a perfect square. There are only a few perfect square numbers between 1 and 75, so the chances of calling a perfect square number are lower compared to other numbers.

3. An event that is certain to happen for the number Kenisha calls is that it will be a number between 1 and 75. Since the numbers in the game range from 1 to 75, any number called by Kenisha will definitely fall within this range.

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the average waiting time cannot be determined when all five checkout lanes are being used.

To calculate the average waiting time when all five checkout lanes are being used, we can use queuing theory and the Little's Law formula.

Little's Law states that the average number of customers in a system (L) is equal to the average arrival rate (λ) multiplied by the average time a customer spends in the system (W).

L = λ * W

Given:

Number of checkout lanes (m) = 5

Average checkout time per customer (μ) = 3 minutes (since each clerk takes 3 minutes on average to checkout a customer)

Arrival rate (λ) = 70 customers per hour

First, we need to calculate the arrival rate per lane when all five lanes are being used. Since there are five lanes, the arrival rate per lane will be λ/m:

Arrival rate per lane = λ / m

= 70 customers per hour / 5 lanes

= 14 customers per hour per lane

Next, we can calculate the average time a customer spends in the system (W) using the formula:

W = 1 / (μ - λ)

where μ is the average service rate and λ is the arrival rate per lane.

W = 1 / (3 - 14)

W = 1 / (-11)

W = -1/11 (since the service rate is smaller than the arrival rate, resulting in negative waiting time)

However, negative waiting time is not meaningful in this context. It indicates that the system is not stable or the service rate is insufficient.

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Answer:

Step-by-step explanation:

Answer:

$141.75

Step-by-step explanation:

(900)(-105) (13/12) or 1.5

Answer:

Polynomials are algebraic expressions that consist of variables and coefficients. ... We can perform arithmetic operations such as addition, subtraction, multiplication and also positive integer exponents for polynomial expressions but not division by variable. An example of a polynomial with one variable is x2+x-12.

Correct option is D. According to the author of Passage 2, in order for

society to progress, women must receive an education comparable to that of men.

It started with fighting for women's rights. So they want women to have more rights. So they wouldn't want women to follow all the prevailing social norms. And then, answer  C says  replace men as symbols of power and  authority. So this would be incorrect because you can see many references to in this passage where this author  just fights for equality. So if we look at the first  sentence that

I emphasized, she said no, should regret that if she was not educated prepare to be a companion of man. So the man's companion  indicates

as a male companion. So just equal to the man. That's why I answered that option C would be incorrect because it involves  male surrogates, right?  And this author only begs for women's equality.

Passage 2 -

"Contending for the rights of woman, my main argument is built on this simple principle, that if she be not prepared by education to become the companion of man, she will stop the progress of 45 knowledge and virtue; for truth must be common to all, or it will be inefficacious with respect to its influence on general practice.

...............................................

open before you when you observed, "that to see one half of the human race excluded by the other from all participation of government, was a political phenomenon that, according to abstract principles, it 65 was impossible to explain." If so, on what does your."

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answer:

A, D, E

step-by-step explanation:

A — 13 - 1 = 12

B — 15 - 7 = 8

C — 12 - 12 = 0

D — 28 - 16 = 12

E — 36 - 24 = 12

F — 29 - 25 = 4

The required value of x is 22 degrees for the given figure.

Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.

As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:

According to the given figure, it can be written as follows:

2x + 24 + 6x - 20 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Therefore, the required value of x is 22 degrees for the given figure.

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The complete question is as follows:

Find the value of x for the below figure.

The written form of the quotient as a simplified fraction as required in the task content is; Choice Choice B; 18 1/2.

It follows from the task content that the quotient as given in the task content is; 851/46.

On this note, it follows that the result of the division is; 18 with a remainder of 23.

Hence, we have; 18 23/46 which is equivalent to 18 1/2.

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The answers are: A: converges B: diverges C: converges D: converges.

Theorem 9.11 states that the p-series, ∑n=1∞(1/n)p, converges if p > 1 and diverges if p ≤ 1.

Using Theorem 9.11 to determine the convergence or divergence of the given p-series:

∑n=1∞(1/n)p(A) p

= 1 + (1/2) + (1/3) + (1/4) + (1/5) + ...

We can see that p > 1, so the series converges.

(B) p = √16 + √31 + √/²56 + √625 + ...

Since the denominator is not provided, it is unclear how many terms should be added, but we can use the nth term test to determine convergence or divergence.

aₙ = (1/n)p

= 1/pn√np

→ 0 as n

→ ∞ if p > 1;

otherwise, it diverges.

(C) p = n=1∞ 12(1/n² + n)

The denominator is growing faster than the numerator, which means that each term of the series is less than 1/n² for large n.aₙ = 1/n² → 0 as n → ∞, so the series converges by the comparison test.

(D) p = n

=0∞ 0.13n

Since 0 < 0.13 < 1, the series converges by the geometric series test (the common ratio is 0.13).

Thus, the answers are:A: convergesB: divergesC: convergesD: converges.

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The required answer is approximately 96.2 nanometers.

Explanation:-

The wavelength of the spectral line produced during the transition of an electron in a hydrogen atom can be calculated using the Rydberg formula:

1/λ = R_H * (1/n_f^2 - 1/n_i^2)

where λ is the wavelength, R_H is the Rydberg constant for hydrogen (approximately 1.097 × 10^7 m^-1), n_f is the final energy level, and n_i is the initial energy level.

In this case, the electron is transitioning from energy level n_i = 4 to n_f = 1. Plugging these values into the formula, we can calculate the wavelength:

1/λ = 1.097 × 10^7 m^-1 * (1/1^2 - 1/4^2)

= 1.097 × 10^7 m^-1 * (1 - 1/16)

= 1.097 × 10^7 m^-1 * (15/16)

= 1.039 × 10^7 m^-1

To convert this to nanometers, we can use the conversion factor: 1 m = 10^9 nm. Therefore:

λ = 1 / (1.039 × 10^7 m^-1)

= 9.62 × 10^-8 m

= 9.62 × 10^-8 * 10^9 nm (using the conversion factor)

= 96.2 nm

So, the wavelength of the spectral line produced during the transition from energy level 4 to energy level 1 in a hydrogen atom is approximately 96.2 nanometers

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The 95% confidence interval for the true population mean annual salary for office managers is approximately $53,681 to $54,619, with a margin of error of approximately $468.

To calculate the margin of error and construct the 95% confidence interval, we can use the formula:

Margin of Error (ME) = Z * (σ / √n)

Z is the z-score corresponding to the desired level of confidence (95% confidence corresponds to a z-score of approximately 1.96).

σ is the population standard deviation (estimated using the sample standard deviation, which is $4,310 in this case).

n is the sample size (325 in this case).

First, let's calculate the margin of error:

Next, we can construct the 95% confidence interval using the formula:

Confidence Interval = Sample Mean ± Margin of Error

Sample Mean = $54,150

Lower Limit = $54,150 - 468.5192

Upper Limit = $54,150 + 468.5192

Therefore, the 95% confidence interval for the true population mean annual salary for office managers is approximately $53,681 to $54,619.

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Answer:

12x^2; 21

Step-by-step explanation:

4x^2-3=4×1.5^2-3=6

4x^2-2=4×1.5^2-2=7

4x^2-1=4×1.5^2-1=8

6+7+8=p=21

Answer:

A ) 12x^2-6; 21 inches

Step-by-step explanation:

EDG2021

The value of the function f(x)=6/-2+2\(e^{-0.3x}\) at x=4 after rounded to the nearest tenth is -2.4.

Given Function of x : f(x)=6/-2+2\(e^{-0.3x}\)

The given function showing the relationship between x and f(x) is f(x)=6/-2+2\(e^{-0.3x}\) where e is exponential and we have to find the value of f(4) by just putting the value of x=4 in the given function and round to the nearest tenth means replacing a number with an approximate value.

f(4)=6/-2+2\(e^{-0.3*4}\)   ( The value of e is 2.7812)

f(4)=-3+2\(e^{-1.2}\)                    

f(4)=-3+2*0.30119   (The value of \(e^{-1.2}\) is 0.30119)          

f(4)=-3+0.60238

f(4)=-2.3972

Round -2.3972 to tenth is -2.4.

Hence the value of function of at x=4 is -2.4.

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The value of f(4) is -4.3.

The function is a relation between two different sets X and set Y which are in one-one or many-one relation. Here set X is called as the domain and set Y is called as the codomain.

For example: f(x)=3x+9

To get the value of the function at any point of x, we have to put the number in the function to get its function value.

For example the value of f(x) in above function at x=a will be f(a)=3a+9

Similarly given function in the question

\(f(x)=\frac{6}{-2+2e^{-0.3x}}\)

to get the value of f(x) at x=4 put the value of x in the function,

\(f(x)=\frac{6}{-2+2e^{-0.3*4}}\)

⇒\(f(x)=\frac{6}{-2+2e^{-1.2}}\)

⇒f(x)=-4.3

Therefore the value of f(4) is -4.3.

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Rate = distance / time.

Distance= 9/10

Time = 1/10

Rate = 9/10 divided by 1/10 which is 9.

9 meters per second.

540 meters per minute.

Answer:

1. Percent change - 14.5455% ≈ 15% | decrease

2. Percent change - 30.2326% ≈ 30% | increase

3.  New price - $83.74

4. New price - $436.50

Step-by-step explanation:

To find an increase or decrease in price, if you have the percent provided, convert the percent into a decimal, then multiply the percent by the price, if it's an increase, add the price by the sum, if it's a decrease, subtract the price by the sum.

Answer:

\(\displaystyle m=\frac{-3}{4}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point A(0, 8)

Point B(4, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:1 dollar each

Step-by-step explanation:

Answer:

2 hours

Explanation:

Stock A:

9AM $14.56 +$0.12/hr

10AM $14.68 +1hr

11AM $14.80 +2hrs

12PM $14.92 +3hrs

Stock B:

12 PM (Noon) $15.06 -$0.07/hr

1PM $14.99 +1hr

2PM $14.92 {+2HR}

Answer:

1.00 significant figures

The required, 0.9967 rounded to 2 significant figures is approximately 1.0.

To round 0.9967 to 2 significant figures, we look at the first two non-zero digits: 0.9967

The first two non-zero digits are 99. Since there is no third significant digit, we round according to the following rules:

If the third digit is 5 or greater, round up the second digit.

If the third digit is less than 5, leave the second digit unchanged.

In this case, the third digit is 6, which is greater than 5. So, we round up the second digit:

Thus, 0.9967 rounded to 2 significant figures is approximately 1.0.

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To show that the vector field F(x, y) = x^2 i + y j is conservative, we need to check if it satisfies the condition ∇ × F = 0, where ∇ × F is the curl of F.

Let's calculate the curl of F(x, y):

∇ × F = (∂N/∂x - ∂M/∂y) k = (∂(x)/∂x - ∂(x^2)/∂y) k = (0 - 0) k = 0 k.

Since the curl of F is zero (∇ × F = 0), we can conclude that F is conservative.

To find the value of F · dr along the curve C, where dr is the differential displacement vector along the curve, we need to parametrize the curve C and calculate the dot product.

Let's say the curve C is given by r(t) = (x(t), y(t)), where a ≤ t ≤ b.

The differential displacement vector dr is given by dr = dx i + dy j.

The dot product F · dr is:

F · dr = (x^2 i + y j) · (dx i + dy j) = x^2 dx + y dy.

Now, we need to evaluate this expression along the curve C.

If we substitute x = x(t) and y = y(t) in the expression above, we get:

F · dr = (x(t))^2 dx/dt + y(t) dy/dt.

To find the value of F · dr along the curve C, we need to know the parametric equations x(t) and y(t) that define the curve. Once we have those equations, we can calculate dx/dt and dy/dt and evaluate the expression x(t)^2 dx/dt + y(t) dy/dt for the given values of t.

Without the specific parametric equations for the curve C, we cannot determine the exact value of F · dr.

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