This oblique cylinder has a volume of 90\pi\text{ m}^390π m
3
90, pi, start text, space, m, end text, cubed and a base area of 12\pi\text{ m}^212π m
2
12, pi, start text, space, m, end text, squared.

What is the height of the cylinder?

Answer: x=+2 check over 2

Step-by-step explanation:

1. Move terms to the left side

42=32

4x2-32=0

2. Common Factor

4x2-32=0

4(x2-8)=0

3. Divide both sides by the same factor

4(x2-8)=0

x2-8=0

4. Use the quadratic formula

x2-8=0

a=1

b=0

C=-8

5. Simplify

. Evaluate the exponent

. Multiply the numbers

.Add zero

. Multiply the numbers

6. Seperate the equations

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

7.  Solve

Rearrange and isolate the variable to find each solution

Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.

Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12

We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.

Take the provided linear equation system into consideration.

3x - 2y = 4 ................(1)

9x - 6y = 12 ..................(2)

Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12

The slopes of the provided equations are also same.

Difference with regard to x for equation (1) yields,

additional to equation (2),

With regard to x, we can differentiate to get,

The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.

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Therefore, the limit of the function f(T) as T approaches 3 is equal to 18.

To find the limit as T approaches 3 for the function f(T) = 9(T-1)(T-2), we substitute T = 3 into the function:

lim(T→3) 9(T-1)(T-2) = 9(3-1)(3-2)

= 9(2)(1)

= 18

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The total amount spent on fuel on this trip is $14.21.

First find out the distance travelled:

= Speed x Time

= 70 x 1⁴⁵/₆₀

= 122.5 miles

The car takes a gallon of fuel to travel 25 miles and 122.5 miles were traveled. The total amount of fuel used was therefore:

= 122.5 / 25

= 4.9 gallons of fuel

If each gallon costs $2.90, the total amount spent is:

= 4.9 * 2.90

= $14.21

The total amount spent on fuel on this trip is therefore $14.21.

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Answer:

The y-intercept is -9

Step-by-step explanation:

So, I could explain how to find the y-intercept with any two points, or I could just point out that the y-intercept is whatever the y is in an ordered pair when the x is zero.

However, if you really want to know: First you have to find the slope. You subtract one y value from the other (-14--9, or -14+9), and subract the x values from one another without mixing up the ordered pairs (-3-0), and put the solution to the y over the solution to the x (-5/-3) and simplify if possible (5/3).

Then, you take the formula for a slope (y=mx+b), and add the slope you just found in (y=5/3x+b). Then, you take one of the points you know and put it in the equation (-14=5/3*-3+b). Then, you solve for b (simplify 5/3*-3 to get -5, -14=-5+b, add 5 on both sides. -9=b)

The system of linear equations representing lines 1 and 2 is y = x and y = -1/2x + 3

from the question, we have the following parameters that can be used in our computation:

The graph

A linear equation is represented as

y = mx + c

Using the points, we have

Line 1

y = x

For line 2, we have

y = mx + 3

Next, we have

6m + 3 = 0

This gives

m = -1/2

So, we have

y = -1/2x + 3

Hence, the system of linear equations is y = x and y = -1/2x + 3

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Answer:

25%

Step-by-step explanation:

Answer:

Sally ate 40% of the pizza and there was 60% of the pizza leftover.

Step-by-step explanation:

A percentage is a rate, number, or amount in each hundred.

There were 10 slices of pizza, she ate 4.

4/10 = 40/100 multiplied by 10, which would let us find the percentage.

Therefore, Sally ate 40% of the pizza and left 60% back.

Hope This Helps!

= 70% of the flowers are carnations

Probability tells you which outcome is more likely to occur in any given event. You could determine the probability of the particular outcome by dividing the number of times that the outcome has occurred by the total no of events.

we are given that,

6/10 = 3/5 of the flowers are pink, do

we know .2/5 of the flowers are red .

Since 1/3 of the pink flowers are roses, 2/3 of

the pink flowers are on Carnations .

we are given that 2/4 of the red

flowers are carnations .

The number carnations are

\(\frac{3}{5} * \frac{2}{3} + \frac{2}{5} * \frac{3}{4}\)

\(=\frac{2}{5} +\frac{3}{10}\)

\(= \frac{4 + 3}{10}\)

\(=\frac{7}{10}\)

covert into percent

\(=\frac{7}{10} 100\)

= 70%

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The measure of the side "a" by cosine law for the given triangle is 11.46 which is closest to 12 in option (B).

What is a triangle?
Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle a side is opposite to angle A,b is opposite of angle B and c is the opposite of angle C.

By cosine law,

cosA = (b² + c² - a²)/(2bc)

As per the given,

ΔABC; b= 10; c = 14, and ∠A = 54°

cos54° = (10² + 14² - a²)/(2×10×14)

0.5877 = (10² + 14² - a²)/(2×10×14)

(10² + 14² - a²) = 164.579

a² = 131.4201

a = 11.46

Hence "The measure of the side "a" by cosine law for the given triangle is 11.46 which is closest to 12 in option (B)".

Since this is the incomplete question. The complete question is :

Given: ΔABC; b= 10; c = 14, and ∠A = 54°. Find the length of side a to the nearest whole number.

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Using permutation there are 116,280 potential combinations of 4 employees that might go to the 4 conferences.

The number of selections possible for the first problem, where 4 employees are selected to participate in specialized training from a group of 20 employees, can be found using the combination formula:

C(20, 4) = 20! / (4! × (20 - 4)!) = 4845

Therefore, there are 4845 possible selections of 4 employees for the specialized training program.

For the second problem, we need to select 4 employees to attend 4 different conferences.

The order of selection matters, since each employee, will be attending a different conference.

Therefore, we need to use the permutation formula:

P(20, 4) = 20! / (20 - 4)! = 20! / 16! = 20 × 19 × 18 × 17 = 116280

Therefore, there are 116,280 possible selections of 4 employees to attend the 4 different conferences.

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Answer:

Step-by-step explanation:

Given the height h (t )of the sunglasses after t seconds modeled by the polynomial function h(t ) =  -16t²+ 4096

Since the sunglasses hit the ground, the height of the glass on the ground will be 0feet. Substituting h(t)= 0 into the formula to know the time it takes the glass to hit the ground will give;

0 = -16t²+ 4096

0+16t² = 4096

16t² = 4096

Dividing both sides by 16;

16t²/16 = 4096/16

t² = 256

Taking the square root of both sides

√t² = √256

t = 16 seconds

This means that the sunglasses will hit the ground after 16 seconds

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$170\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &14 \end{cases} \\\\\\ A=170\left(1+\frac{0.06}{1}\right)^{1\cdot 14}\implies A=170(1.06)^{14}\implies A\approx 384.35\)

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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The radius of convergence of the power series $\sum_{n=0}^\infty c_n x^n$ is $r$. To find the radius of convergence of the power series $\sum_{n=0}^\infty c_n x^{9n}$, we can rewrite the series as $\sum_{n=0}^\infty c_n (x^9)^n$.

Letting $y = x^9$, we obtain the power series $\sum_{n=0}^\infty c_n y^n$, which has the same coefficients as the original series. By the ratio test, the series $\sum_{n=0}^\infty c_n y^n$ has radius of convergence $R' = r^9$. Therefore, the radius of convergence of the power series $\sum_{n=0}^\infty c_n x^{9n}$ is $r^9$.

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The area of Mr. Denson's square-shaped patio that enclosed the fence is 324 m².

The area is represented as the number of unit squares that cover the surface of an enclosed figure or object, measured in square units like cm² and m².

The area is the product of the two sides (length and breadth).

The perimeter of a square = 4a, where a is one length of the square.

If 4a = 72 meters, a = 18 meters (72/4).

The area of the square-shaped patio = 324 m² (18 x 18).

Thus, Mr. Denson should know that his square-shaped patio has an area of 324 m².

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Step-by-step explanation:

i answered it , and tried to give explanation too...

hope its helpful ,

2 km

4.5km - 2.5km = 2km. The 0.3m is negligible unless it means kilometers. If it is indeed kilometers, it is 1.7km.

Total distance Sonny ride with his friend is equals to 1.9997km ≈ 2km.

"Distance is defined as the total path travelled by a body regardless it direction."

Conversion used

1km = 1000meters

According to the question,

Total distance covered by Sonny everyday = 4.5km

Distance travelled before he felt sick = 2.5km

Distance covered before Sonny friend gave him ride = 0.3meters

                                                                                         = 0.0003km

Distance Sonny ride with friend = (4.5 - 2.5 - 0.0003)km

                                                     = 1.9997km

                                                     ≈ 2km

Hence, total distance Sonny ride with his friend is equals to 1.9997km ≈ 2km.

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The value of the multiplier is **2**.

The multiplier is the ratio of the change in real GDP to the change in autonomous spending. It is calculated as follows:

```

Multiplier = 1/(1-MPC)

```

Where MPC is the marginal propensity to consume.

In this case, the slope of the AE curve is 0.80. This means that the MPC is 0.80. Therefore, the multiplier is 2.

A multiplier of 2 means that a change in autonomous spending will lead to a change in real GDP that is twice as large. For example, if autonomous spending increases by $100, then real GDP will increase by $200.

The slope of the AE curve is equal to 1/(1-MPC). Therefore, the slope of the AE curve can be used to calculate the value of the multiplier.

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Based on the map of Mesopotamia, the locations on the map are:

• Tigris River - 8 - R

• Euphrates River - 6 - R

• Nile River - 1 - R

• Mediterranean Sea - 5 - S

• Zagros Mountains - 4 M

• Taurus Mountains - 7 - M

• Persian Gulf - 3 - G

• Black Sea - 2 - S

• Red Sea - 9 - S

• Arabian Peninsula - 10 - P

Arabian gulf is not in the map.

Mesopotamian Civilization

In the northern Fertile Crescent, within the Tigris-Euphrates river system, is Mesopotamia, a historical territory of Western Asia. Modern Iraq is occupied by Mesopotamia. The historical area encompassed sections of modern-day Iran, Syria, Turkey, and parts of Iraq and Kuwait in a larger sense.

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Answer: Based on the map of Mesopotamia, the locations on the map are:• Tigris River - 8 - R• Euphrates River - 6 - R• Nile River - 1 - R• Mediterranean Sea - 5 - S• Zagros Mountains - 4 M• Taurus Mountains - 7 - M• Persian Gulf - 3 - G• Black Sea - 2 - S• Red Sea - 9 - S• Arabian Peninsula - 10 - PArabian gulf is not in the map.Mesopotamian CivilizationIn the northern Fertile Crescent, within the Tigris-Euphrates river system, is Mesopotamia, a historical territory of Western Asia. Modern Iraq is occupied by Mesopotamia. The historical area encompassed sections of modern-day Iran, Syria, Turkey, and parts of Iraq and Kuwait in a larger sense.

Step-by-step explanation:

Based on the map of Mesopotamia, the locations on the map are:• Tigris River - 8 - R• Euphrates River - 6 - R• Nile River - 1 - R• Mediterranean Sea - 5 - S• Zagros Mountains - 4 M• Taurus Mountains - 7 - M• Persian Gulf - 3 - G• Black Sea - 2 - S• Red Sea - 9 - S• Arabian Peninsula - 10 - PArabian gulf is not in the map.Mesopotamian CivilizationIn the northern Fertile Crescent, within the Tigris-Euphrates river system, is Mesopotamia, a historical territory of Western Asia. Modern Iraq is occupied by Mesopotamia. The historical area encompassed sections of modern-day Iran, Syria, Turkey, and parts of Iraq and Kuwait in a larger sense.

Answer:

Step-by-step explanation:

Area of sector: \(\left(\frac{50}{360} \right)(\pi)(2^{2})=\frac{5\pi}{9}\)

Length: \((2\pi)(2)\left(\frac{50}{360} \right)=\frac{5\pi}{9}\)

The  type of transformation that shape A undergoes to form shape B is: D a 90° clockwise rotation

There are different types of transformation such as:

Translation

Rotation

Reflection

Dilation

Looking at the given image, the coordinates of shape A are:

(-4, 2), (-4, 4), (-1, 2), (-1, 4), (-2.5, 3)

Now, looking at the coordinates of shape B, we can see that the transformation is: (x,y) → (y, -x)

This transformation is clearly a 90° clockwise rotation

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To find the equation of the tangent line to the function y = 2/(1 + e^(-x)) at x = 0, we need to determine the slope of the tangent line and the y-intercept.

1. Find the derivative of the function y = 2/(1 + e^(-x)):

  Using the quotient rule, the derivative is given by:

  y' = [(2 * (1 + e^(-x))' - 2' * (1 + e^(-x)))] / (1 + e^(-x))^2

  Simplifying:

  y' = [0 - 2 * (-e^(-x))] / (1 + e^(-x))^2

  y' = 2e^(-x) / (1 + e^(-x))^2

2. Evaluate the derivative at x = 0:

  y'(0) = 2e^(0) / (1 + e^(0))^2

  y'(0) = 2 / (1 + 1)^2

  y'(0) = 1/2

3. The slope of the tangent line is given by the derivative evaluated at x = 0, which is 1/2.

4. Find the y-coordinate at x = 0:

  Plug x = 0 into the original function:

  y(0) = 2/(1 + e^(0))

  y(0) = 2/(1 + 1)

  y(0) = 1

5. We have the slope (1/2) and a point (0, 1) on the line. Use the point-slope form to find the equation of the tangent line:

  y - y1 = m(x - x1)

  y - 1 = (1/2)(x - 0)

  y - 1 = (1/2)x

  y = (1/2)x + 1

Therefore, the equation of the tangent line to y = 2/(1 + e^(-x)) at x = 0 is y = (1/2)x + 1.

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Answer:

(1, 6.71)

Step-by-step explanation:

I'm assuming that you need to solve this by substitution or elimination since you didn't include any context in your question, just the equations.

To solve this by elimination, first, decide on a variable you want to get rid of / cancel out. I chose y. To do this, you need to find the least common multiple (LCM) of 7 and 5, which is 35. Now, multiply the top equation, 21x + 7y = 42, by -5. Multiply the bottom equation, -5x + 5y = 10, by 7. Make sure when you multiply that you either make the 5 or the 7 negative so you can cancel out y. I chose to make 5 negative.

After you multiply by the -5 and the 7, rewrite your new equations:

-105x - 35y = -210

-35x + 35y = 70

Now, add the two equations together. When you do this, the y's cancel out and you're left with -140x = -140. Now, divide both sides by -140, and you're left with x = 1. Plug the value of x into one of your original equations. I chose the bottom equation, -5x + 5y = 10.

-5(1) + 7y = 42   ----->   -5 + 7y = 42.

Add -5 to both sides, which gives you 7y = 47. Divide both sides by 7, which gives you y = 6.71.

The last step is to put the values of x and y into a point: (1, 6.71).

Hope this helps!

Answer:

I don't know

Step-by-step explanation:

Sorry cause i have no answer too

Answer:

x=3

Step-by-step explanation:

-6

3x=9

/3

x=3

Therefore, the state government should consider investing in new affordable housing initiatives.

a) To compute the 90% confidence interval, we can use the formula:

CI = p ± z*(√(p(1-p))/n)

where p is the sample proportion, z is the z-score corresponding to a 90% confidence level (which is 1.645), and n is the sample size.

Plugging in the values, we get:

CI = 0.517 ± 1.645*(√((0.517)(1-0.517))/4527)

CI = 0.505 to 0.529 (rounded to three decimal places)

b) The 90% confidence interval tells us that we are 90% confident that the true proportion of Californians who considered moving out of the state is between 0.505 and 0.529.

c) Since the confidence interval does not include the value of 0.5, which is the null hypothesis value, we can conclude that there is evidence to suggest that more than 50% of Californians would consider moving out of state due to high cost of housing.

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Let:

Replace (1) into (2):

Replace the value of y into (1):

Answer:

a) four friends bought each ticket for $80 and also

bought a Jersey for $15

b) 4(95)

= 380

c) 8.95 - the answer is in decimal