Help will mark brainliest!

Answer:

2x^2-12x-54

Step-by-step explanation:

First 2x times x along with 2x times -9

Second 6 times x  along with 6 times -9

2x^2-18x+6x-54

=2x^2-12x-54

Answer:

40

Step-by-step explanation:

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

The volume of a cylinder is equal to the area of the base times the height. The area of the base is pi * r^2, where r is the radius. In this case, the radius is 5 meters, so the area of the base is pi * 5^2 = 25pi. The height is 15 meters, so the volume of the cylinder is 25pi * 15 = 375pi cubic meters.

Pi is approximately equal to 3.14, so the volume of the cylinder is approximately equal to 375 * 3.14 = 1177.5 cubic meters.

To the nearest tenth, the volume of the cylinder is 1178 cubic meters.

Here are the steps in more detail:

- Find the area of the base: pi * r^2 = pi * 5^2 = 25pi

- Multiply the area of the base by the height: 25pi * 15 = 375pi

- Approximate pi to 3.14: 375pi * 3.14 = 1177.5

- Round to the nearest tenth: 1177.5 rounded to the nearest tenth is 1178

The volume of the cylinder is 1178.6 m³.

We know that,

the volume of a cylinder = π×r²×h

where r is the radius of the base of the cylinder,

and, h is the height of the cylinder.

Now, according to the question,

the radius of the base of the cylinder = 5m,

the height of the cylinder is 15 m

Putting the value of base and height in the above formula for the volume of the cylinder, we get,

the volume of the cylinder = π × r²×h

                                               = 22/7 × 5² × 15

                                               = 1178.6

Hence, the volume of the cylinder is 1178.6 m³.

For more questions on the volume of a cylinder,

https://brainly.com/question/9554871

#SPJ1

The complete question is -

Find the volume of the cylinder. Round your answer to the nearest tenth.

The radius of the cylinder is 5 meters and its height is 15 meters.

The volume of the cylinder is about ? cubic meters.

Answer:

26h

Step-by-step explanation:

-3(2h-10h)+2h

-6h+30h+2h=26h

a). The probability for each value and construct the following table:

x 0 1 2 3

P(x) 0.0 0.6 0.4 0.0

b). μ = 1.2 & σ = 0.8

c). We locate the point representing the mean (μ) and plot vertical lines at μ±2σ.

d). The probability that x falls within the interval μ±2σ is 1.0, or 100%.

a. To display the probability distribution for x in tabular form, we need to calculate the probability of each possible value of x. In this case, x can take on values from 0 to 3. Using the hypergeometric distribution formula, we can calculate the probability for each value and construct the following table:

x 0 1 2 3

P(x) 0.0 0.6 0.4 0.0

b. To compute the mean (μ) and standard deviation (σ) for x, we can use the formulas:

μ = n * (r / N) = 3 * (2 / 5) = 1.2

σ = sqrt(n * (r / N) * ((N - r) / N) * ((N - n) / (N - 1))) = sqrt(3 * (2 / 5) * (3 / 5) * (2 / 4)) = 0.8

c. We can graph the probability distribution p(x) with x on the x-axis and p(x) on the y-axis. The graph will show bars at each x value with heights corresponding to the probabilities. On the graph, we locate the point representing the mean (μ) and plot vertical lines at μ±2σ.

d. To determine the probability that x falls within the interval μ±2σ, we calculate the area under the probability distribution curve between μ-2σ and μ+2σ. This can be done by summing the probabilities of x within this interval:

P(μ-2σ ≤ x ≤ μ+2σ) = P(x=1) + P(x=2) = 0.6 + 0.4 = 1.0

Therefore, the probability that x falls within the interval μ±2σ is 1.0, or 100%.

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ11

The height of the part of the post that is above the ground is 10 - 3(1/3)

= 6(2/3) feet.

To learn more about height from the given link:

https://brainly.com/question/10726356

#SPJ13

Answer:

That's some we.t-as.s pu.ssy

Step-by-step explanation:

The probability of picking 4 aces in 4 tries in a deck of 1 cards contains 4 aces is 1.

Probability is the likelihood of an event

Since deck of 4 cards contains 4 aces the probability of picking 4 aces in 4 tries.

After each try, the card is put back and the cards are reshuffled.

To find this probability, we proceed as follows.

Let P(A) = probability of picking an ace

P(A) = number of aces/total number of cards

Since we have 4 aces and 4 cards, we have that

P(A) = 4/4 = 1/1 = 1

Now, we want the find the probability of picking 4 aces after 4 tries when each card is returned and reshuffled.

Let P(4 aces) = probability of picking 4 aces

Now, since the probability of picking one ace in each of the 4 tries is independent, we have that

P(4 aces) = P(A) × P(A) × P(A) × P(A)

                = [P(A)]⁴

So, substituting the value of the variable into the equation, we have that

P(4 aces) =  [P(A)]⁴ =  [1]⁴ = 1

Therefore, the probability is 1.

Learn more about probability here:

brainly.com/question/28185528

#SPJ12

Answer:

c+9

Step-by-step explanation:

Key word SUM means addition

Answer:

\(\angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)

Step-by-step explanation:

\(\frac{\sin(\angle BAC)}{13}=\frac{\sin 23^{\circ}}{6} \\ \\ \sin \angle BAC=\frac{13\sin 23^{\circ}}{6} \\ \\ \angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)

The slope of the line of best fit to the raw-score scatter plot is 0.98

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

The slope (b) of the line is calculated as

b = r * Sy/Sx

Substitute the known values in the above equation, so, we have the following representation

b = 0.75 * 2.45/1.88

Evaluate

b = 0.98

A linear equation is represented as

y = bx + c

Where

Slope = b

y-intercept = c

In (a), we have

b = 0.98

So, we have

y = 0.98x + c

Recall that the point (13, 9) is on the line of best fit.

So, we have

9 = 0.98 * 13 + c

This gives

9 = 12.74 + c

Evaluate

c = -3.74

So, we have

y = 0.98x - 3.74

Here, we have

x = 12

So, we have

y = 0.98 x 12 - 3.74

Evaluate

y = 8.02

Read more about line of best fit at

https://brainly.com/question/1564293

#SPJ1

The three items on Mr. Archer's net worth statement that are liabilities are the auto loan, credit card debt, and home mortgage.

Looking at Mr. Archer's net worth statement, we see that he has several items listed along with their corresponding values in dollars. In order to identify which items are liabilities, we need to look for those that represent debts or obligations.

The first item listed is Mr. Archer's checking account, which has a value of 590 dollars. This is an asset, as it represents money that he owns and has available to spend.

The second item listed is an auto loan with a value of 3,300 dollars. This is a liability, as it represents money that Mr. Archer owes to a lender in order to pay for his car. In other words, the auto loan is a debt that he needs to repay.

The third item listed is credit card debt, with a value of 950 dollars. This is also a liability, as it represents money that Mr. Archer has borrowed from a credit card company and needs to repay.

The fourth item listed is a savings account, with a value of 1,590 dollars. This is an asset, as it represents money that Mr. Archer owns and has saved for future expenses or emergencies.

Finally, the fifth item listed is a home mortgage, with a value of 86,500 dollars. This is also a liability, as it represents money that Mr. Archer has borrowed from a lender in order to purchase his house. The home mortgage is a debt that he needs to repay over time.

To know more about liability here

https://brainly.com/question/18484315

#SPJ1

Answer:

RD = 162 cm

Step-by-step explanation:

LD = 2 RL = 2* 54 = 108

RD = RL + LD

RD = 54 + 108

RD = 162 cm

The length of RD is 162 cm if Point L is a centroid of the triangle FWD, If RL = 54 cm option (B) is correct.

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have:

Point L is a centroid of the triangle FWD, If RL = 54 cm

From the centroid definition:

LD = 2RL

LD = 2×54 = 108 cm

RD = RL + LD

RD = 54 + 108

RD = 162 cm

Thus, the length of RD is 162 cm if Point L is a centroid of the triangle FWD, If RL = 54 cm option (B) is correct.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ2

Answer:

0.35 because above all the probs were below 50 meaning that it was hard for them to even score one goal per game

Step-by-step explanation:

Substituting these values back into equation (i), we get D = 4(3) = 12. There are 3 nickels, 12 dimes, and 3 quarters in the collection.

Let's assume the number of nickels is N, the number of dimes is D, and the number of quarters is Q. From the given information, we can deduce three equations:

(i) D = 4N (since there are 4 times more dimes than nickels),

(ii) N + D + Q = 18 (since there are 18 coins in total), and

(iii) 5N + 10D + 25Q = 290 (since the total value of the coins is 290 cents or $2.90).

To solve these equations, we can substitute the value of D from equation (i) into equations (ii) and (iii).

Substituting D = 4N into equation (ii), we get N + 4N + Q = 18, which simplifies to 5N + Q = 18.

Substituting D = 4N into equation (iii), we get 5N + 10(4N) + 25Q = 290, which simplifies to 45N + 25Q = 290.

Now we have a system of two equations with two variables (N and Q). By solving these equations simultaneously, we find N = 3 and Q = 3.

Substituting these values back into equation (i), we get D = 4(3) = 12.

Therefore, there are 3 nickels, 12 dimes, and 3 quarters in the collection.

learn more about substitution here:

https://brainly.com/question/30359865

#SPJ11

The value of the given expression [\(87^3+ 13^3/87^2 -87 * 13 + 13^2\)] by simplifying the numerator and denominator using suitable identities is 100.

We will first calculate the numerator:

As  (\(a^3\) + \(b^3\)) = (a + b)(\(a^2\) - ab + \(b^2\)) :

\(87^3\) + \(13^3\) = (87 + 13)(\(87^2\) - \(87 * 13\) + \(13^2\))

= 100(\(87^2\) - 87 * 13 + \(13^2\))

Now, calculate the denominator:

\(87^2 - 87 * 13 + 13^2\)

As,(\(a^2 -2ab +b^2\)) =\((a - b)^2\):

\(87^2 - 87 * 13 + 13^2 = (87 - 13)^2\)

\(= 74^2\)

So by solving the equation further:

\((87^3+13^3) / (87^2- 87 * 13+13^2) = 100*(87^2- 87 *13 + 13^2)/(87^2 - 87 * 13 + 13^2)\)

As we can see the numerator and denominator are the same expressions (\(87^2 - 87 * 13 + 13^2\)). so, they cancel each other:

\((87^3 + 13^3) / (87^2 - 87 * 13 + 13^2) = 100\)

So, the value of the given expression is 100.

To know more about the expression:-

https://brainly.com/question/14083225

The length of the radius AB is 6 units.

The angle ∠BAC is 90 degrees. The length of arc BC is 3π. The length of  

radius AB can be found as follows:

Hence,

length of arc = ∅ / 360 × 2πr

where

Therefore,

length of arc = 90 / 360 × 2πr

3π = 1 / 4 × 2πr

cross multiply

12π = 2πr

divide both sides by 2π

r = 6 units

Therefore,

radius AB = 6 units

learn more on arc here: https://brainly.com/question/1582130

#SPJ1

To find the ucrit (critical value) for a two-sample t-test with the given information, you need to use a t-distribution table.

Since a = 0.052 tail, the significance level (α) is 0.052. You need to find the degrees of freedom (df) first:

Step 1: Calculate the degrees of freedom:
df = n1 + n2 - 2
df = 6 + 8 - 2
df = 12

Step 2: Look up the ucrit value in the t-distribution table using α and df:
For a one-tailed test at α = 0.052 and df = 12, the ucrit value is approximately 1.782.

Your answer: The ucrit value for n1 = 6, n2 = 8, and a = 0.052 tail is approximately 1.782.

To know more about value click here

brainly.com/question/2321807

#SPJ11

Given:

\(3x+2x=34-5-4\)

\(5x=29-4\)

\(5x=25\)

\(x=25\div5\)

Answer:

x = 5

Given: 3x+4+2x+5=34

first combine similar values,

3x + 2x and 4 + 5

5x + 9 = 34

time for substitution

5x + 9 - 9 = 34 - 9

5x = 25

divide by the value of x in this instance it is 5

5x = 25 / 5

x= 5

now to check we will plug in 5 for x

3(5) +4+2 (5) +5=34

15 + 4 + 10 + 5 = 34

19 + 15 = 34

34 = 34✓

Hope this helps, happy learning =D

Answer:187

Step-by-explanation: width multiply by height

=11 times 17

=187

The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.

The wage rate remains unchanged, and the labor market remains in balance.

The statement is false.

False.

The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.

The government then sets a minimum wage at $7.50 per hour.

Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).

In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.

The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.

For similar questions on Wages

https://brainly.com/question/29251394

#SPJ11

Answer:

19r⁵ - r + 8

Step-by-step explanation:

The perimeter of a two-dimensional shape is the distance all the way around the outside.

Therefore, the perimeter of a triangle is the sum of the lengths of its sides.

\(\begin{aligned}\textsf{Perimeter}&=(9r^5-7r+8)+(r^5+4r-15)+(9r^5+2r+15)\\&=9r^5-7r+8+r^5+4r-15+9r^5+2r+15\\&=9r^5+9r^5+r^5+4r+2r-7r+8+15-15\\&=19r^5-r+8\end{aligned}\)

Answer:

Perimeter of triangle = 19r⁵ - r + 8

Step-by-step explanation:

Perimeter of triangle formula,

→ A + B + C

→ Sum of all sides

Let's solve for the perimeter,

→ (9r⁵ - 7r + 8) + (9r⁵ + 2r + 15) + (r⁵ + 4r - 15)

→ (9r⁵ + 9r⁵ + r⁵) + (-7r + 2r + 4r) + (8 + 15 - 15)

→ (19r⁵) + (-r) + (8)

→ 19r⁵ - r + 8

Hence, perimeter is 19r⁵ - r + 8.

Answer:

(2,3) becomes A'(-2,-3)

Step-by-step explanation:

Using the 180 cc rotation rule (x,y) --> (-x,-y). Points 2 and 3 become negative resulting in (-2,-3)

With this velocity , It take her to reach in  11.54 minutes or 0.1923 hours.

A vector number known as velocity describes "the rate at which an object changes its position."It is measured in meters per second (m/s) or kilometers per hour (km/h) and is defined as the rate at which the position of an item changes with regard to time.² A physical vector quantity called velocity must have both a magnitude and a direction in order to be defined.³

A graph of the woman's speed vs time would have a straight line with a positive slope, beginning at (0,0), and ending at (t,60), where t represents the amount of time it takes her to reach 60 mph.

Her initial velocity is zero because she starts at rest, and her final velocity is 60 mph. The following formula can be used to get the average acceleration during this period:

v_f - v_i = a / t

where t is the time it takes to reach 60 mph, an is the acceleration, v_f is the final velocity (60 mph), v_i is the starting velocity (0 mph), and an is the final velocity. Inverting this formula results in:

a = t = (v_f - v_i)

Inputting the values for v_f and v_i results in:

t = (60 mph - 0) / a

The formula: can be used to determine the acceleration.

a = d / t²

where d is the travelled distance (10 miles). Inputting the values for d and t results in:

a = 2d / t²

This expression for an is entered into the previous expression for t to produce the following result:

√(2d / a) = t

Adding the values for d and a results in:

t is equal to √(2× 10 miles / ((60 mph)2 - 0)) = 11.54 minutes or 0.1923 hours.

To know more about velocity visit:

brainly.com/question/17127206

#SPJ1