Find the volume of the sphere with a radius of 2 Either enter an exact answer in terms of pi or use 3.14 for pi and round your final answer to the nearest hundredth

Answer:

-9x^2 + 12x + 5

Step-by-step explanation:

I'm assuming you meant (3x – 2)^2.  The " ^ " indicates exponentiation and is required.  We then have:

9 - (3x – 2)^2, which, when expanded, is

9 - (9x^2 -12x + 4), or:

-9x^2 + 12x + 5

The equilibrium price of pizza in this scenario is 2.5 dollars. At this price, the quantity demanded and supplied of pizza are both equal to 7.5

In the context of this scenario, PD represents the demand for pizza, and it is determined by a few factors, including price.

The formula PD = 10- indicates an inverse relationship between the price of pizza and the quantity demanded.

This means that as the price of pizza increases, the quantity demanded will decrease.

On the other hand, as the price of pizza decreases, the quantity demanded will increase.

PS represents the supply of pizza, and it is also determined by a few factors, including price.

The formula PS = 4 indicates that the quantity supplied of pizza is fixed at 4.

This means that the quantity of pizza supplied will not change regardless of the price of pizza.

The market for pizza is perfectly competitive, meaning that there are a large number of buyers and sellers, all of whom have equal access to the market information.

In such a market, the price of pizza is determined by the interaction of the demand and supply forces.

At the equilibrium price, the quantity demanded and supplied are equal.

In other words, the quantity demanded of pizza at the given price equals the quantity supplied.

The equilibrium price can be found by setting the demand and supply equations equal to each other and solving for price: PD = PS10- = 4P 10- = 4P P = 2.5

Thus, the equilibrium price of pizza in this scenario is 2.5 dollars.

At this price, the quantity demanded and supplied of pizza are both equal to 7.5

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Answer:

x = 4, y = -1/2 (or C)

Step-by-step explanation:

If you were to put it on a graph, the lines would intersect at (4, -1/2), which is C. Hope this helps :)

Answer:

1) Reflection in the x-axis

A' = (-2, -3)

2) Rotation of 180° clockwise about the origin

A'' = (2, 3)

3) Translation of 3 units down and 4 units to the right

A''' = (6, 0)

Step-by-step explanation:

The transformations are as follows;

1) Reflection in the x-axis

Here the x-coordinate is the same and the y-coordinate changes sign.

Therefore, we have;

A (-2, 3)

After reflection in the x-axis becomes A' = (-2, -3)

2) Rotation of 180° clockwise about the origin

When, a point (x, y) is rotated 180° clockwise about the origin, it becomes (-x, -y)

Therefore, we have;

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

3) Translation of 3 units down and 4 units to the right

Translation of 3 units down and 4 units to the right = \(T_{(4, -3)\)

Which gives

A''' = (2 + 4, 3 - 3) = (6, 0).

Answer:

1/2 gal

Step-by-step explanation:

Answer:

Y=hx+25

Step-by-step explanation:

y=total price paid

h=hourly rate

x=number of hours

25=inital fee

Part 1 of 2Ty received test grades of 80%, 73%, 78%, 78%, and 73%. To earn a C in the course, Ty must score at least 75% but less than 80% on the sixth test.(a) What grade would he need to make on the sixth test to get a C?To find the score that Ty needs to earn a C,

We can use the following formula:Average of n scores = (sum of the scores) / nTherefore, we can find the average of Ty's current five test scores:Average of five scores = (80 + 73 + 78 + 78 + 73) / 5 = 76.4To get a C, Ty needs to earn at least 75% on the sixth test. Let x be the score Ty needs to earn on the sixth test to get a C:New average = (sum of all six scores) / 6>= 75 but < 80=> (80 + 73 + 78 + 78 + 73 + x) / 6 >= 75=> 462 + x >= 450=> x >= 450 - 462=> x >= -12Therefore, Ty needs to earn a score of at least -12 on the sixth test to get a C.

However, since a grade of less than 0% is not possible, we can conclude that it is impossible for Ty to get a C with his current scores.(b) Is it possible for Ty to get a B or better for his test average (at least 80%)?To get an average of at least 80% on six tests, the sum of Ty's scores must be at least 80 x 6 = 480. The sum of his five current scores is:80 + 73 + 78 + 78 + 73 = 382Thus, to get a B or better for his test average, Ty needs to earn at least 480 - 382 = 98% on his sixth test. Therefore, it is impossible for Ty to get a B or better with his current scores.

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i did 21                

for thre firdse then ib did 9

Answer:

y= x-3

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

A- 12 + 5 = 17 (Cannot be the same)

B- 10 + 15 = 25 (More than the 3rd side) ✅

C- 9 + 11 = 20 (Cannot be less than the 3rd side)

D- 7 + 6 = 13 (Cannot be less than the 3rd side)

The length of the petals of the rose is 8 units

The polar equation is given as:

r = 8 cos(30)

The amplitude of the above equation is:

A = 8

This is the same as the length of the petals

i.e.

Length = 8

Hence, the length of the petals of the rose is 8 units

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P(Z=z) = 1/1600 for z = 1, 2, ..., 40, and P(Z=z) = 0 .Based on the given information, we have two discrete random variables, X and Y,

with a joint probability mass function (pmf) denoted as P(X,Y).

The joint pmf is defined as follows:

P(X=x, Y=y) = 1/1600 for x = 1, 2, ..., 40 and y = 1, 2, ..., 40

P(X=x, Y=y) = 0 otherwise

We are also asked to define a new random variable Z, which is defined as the minimum of X and Y.

To find the probability mass function (pmf) of Z, we need to calculate P(Z=z) for each possible value of z.

Let's consider a specific value of z. We can express P(Z=z) as follows:

P(Z=z) = P(min(X,Y) = z)

Since Z is the minimum of X and Y, we can see that Z can only take on values that are common to both X and Y. In other words, if Z=z, then both X and Y must be equal to z.

Therefore, for a specific value of z, P(Z=z) can be written as the joint probability of X and Y when they are both equal to z:

P(Z=z) = P(X=z, Y=z)

Using the given joint pmf, we can substitute z into the equation and calculate P(Z=z):

P(Z=z) = P(X=z, Y=z) = 1/1600

So, the pmf of Z is given by:

P(Z=z) = 1/1600 for z = 1, 2, ..., 40

P(Z=z) = 0 otherwise

In summary, the random variable Z, defined as the minimum of X and Y, has a probability mass function (pmf) where P(Z=z) = 1/1600 for z = 1, 2, ..., 40, and P(Z=z) = 0 otherwise.

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The given fractions have equal value, so Liam is correct.

Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.  

Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.

Thus, we can say that:

The fraction  -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.

The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient

The fractions have equal value, so Liam is correct

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Answer:

w = 11

Step-by-step explanation:

Solve for w by simplifying both sides of the equation, then isolating the variable.

Answer:

w = 11

Step-by-step explanation:

To solve for w, simplify both sides, then isolate the variable.

Hope I could help.

The Munks saved $4444 by exercising the increase-in-payment option.

a) The first step is to compute the payment that would be made on a $175000 15-year loan at 6.25 percent compounded semi-annually over five years. Using the formula:

PMT = PV * r / (1 - (1 + r)^(-n))

Where PMT is the monthly payment, PV is the present value of the mortgage, r is the semi-annual interest rate, and n is the total number of periods in months.

PMT = 175000 * 0.03125 / (1 - (1 + 0.03125)^(-120))

= $1283.07

The Munks pay $1300 each month, which is rounded up to the nearest $100. At the end of five years, the mortgage balance will be $127105.28.
b) Over the remaining 10 years of the mortgage, the balance of $127105.28 will be amortized with payments of $1430 each month. The Munks pay an extra $130 per month, which is 10% of their new payment.

The additional $130 per month will be amortized by the end of the mortgage term.
c) Without the increase-in-payment option, the Munks would have paid $1283.07 per month for the entire 15-year term, for a total of $231151.20. With the increase-in-payment option, they paid $1300 per month for the first five years and $1430 per month for the remaining ten years, for a total of $235596.00.

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Answer:

Step-by-step explanation:

I would say B

Answer:

Step-by-step explanation:

ok so we organize it by:

9, 12, 13, 14, 14, 18, 19, 22, 22, 23, 42

so we eliminate 42 and so we cross out one from the left side and one from the right side and we repeat that and we find the center which is any number between 14-18

From the total of 300 workers in the factory :

a. Number of men = 200 and Women = 100

b. Number of workers works in the morning = 225

c. Number of workers unionized are 150.

d. Number of workers trustworthy are 50.

Total number of workers in the factory are 300.

a. Fraction of men in the factory are ( 2/3)

= 2/3 of 300

= 200

Women

= 300 -200

= 100

b. Number of workers in the morning shift are

= 3/4 of 300

= 225

c. Total number of workers unionized

= 1/ 2 of 300

= 150

d. Number of trustworthy workers

= 1/6 of 300

= 50

Therefore, out of 300 workers in the factory answer of the following questions are:

a. Number of men and women work in the factory are 200 and 100 respectively.

b. Number of workers works in the morning is 225.

c. Unionized workers = 150

d. Trustworthy workers = 50.

The above question is incomplete , the complete question is :

The Factory has 300 workers of which 2/3 are men, 3/4 work in the morning, 1/2 are unionized and 1/6 are trusted personnel.

a. How many men work in the factory and how many women?

b. How many workers work in the morning?

c. How many are unionized?

d. How many are trustworthy?

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Below is the answer

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Answer:

Option (C)

Step-by-step explanation:

x and y are two rational numbers.

Two inequalities which define these numbers are,

x + y < 5 ------(1)

3 < x < 5 -------(2)

In this question we will substitute the values of y given in the options in the inequality (1) to get the value of x. If the value of x satisfies the inequality (2), it will be the answer.

Option (A). y = \(\frac{8}{3}\)

From inequality (1),

\(x+\frac{8}{3}<5\)

\(x<5-\frac{8}{3}\)

x < \(\frac{7}{3}\)

x < 2.33

But 3 < x < 5, therefore, y = \(\frac{8}{3}\) is not the answer.

Option (B). y = 2

x + 2 < 5

x < 3

But x is greater than 3. Therefore, Option (B) will not be the answer.

Option (C). y = 0

x + 0 < 5

x < 5

Inequality (2) states the same thing.

Therefore, Option (C) will be the answer.

Option (D). y = 3

x + 3 < 5

x < 5 - 3

x < 2

But x > 3, therefore, Option (D) will not be the answer.

Answer:

C is correct because if x is less than 5 and greater than 3 than is would most likely be 4 and 4 plus 0 equals 4 the problem says x plus y should be less than 5 and 4 plus 0 is less than 5

Step-by-step explanation:

Long answer short the answer is c

Ages (in years) of a sample of retirement home inhabitants is option B. For the lowest wait time, the maximum frequency is anticipated to be right-skewed. A desert cannot have a maximum annual temperature of 60°F, and it is not conceivable to watch 60+ hours of TV in a single day.

Residents of senior living facilities are typically 84 years old. While there are many couples in these communities, the majority of people who live in independent living are women. Some people move in at or near the minimum age (often around 65), but most people do so between the ages of 75 and 84. Residents come from all different backgrounds.

Many people are choosing senior living in a community environment, including teachers, nurses, small business owners, big business CEOs, university professors, housewives, lawyers, engineers, musicians, and more. Current residents will attest that the rich diversity of origins fosters amazing interactions and relationships. And contrary to popular belief, the majority of residents of independent living are quite active.

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Correct Question:

Match the plot with a possible description of the sample.

60 70 80 90 100

Choose the correct answer below

A. Wait time (in minutes) for a sample of doctors offices

B. Ages (in years) of a sample of residents of a retirement home.

C. Highest yearly temperatures (F) for a sample of deserts.

D. Time (in hours_ spent watching TV in a day for a sample of teenagers.

Answer:

this may help you.look it once.

Answer:

162/20 Would be your answer, however, it wouldn't make sense as you can not switch students into decimals. Therefore, you could make 7 classes of 20, and one of 22, and 6 classes of 20, and two of 21. Therefore, there are two combinations that are possible.

Step-by-step explanation:

Refer to the answer.

Answer:

56

Step-by-step explanation:

The costs of each type that are sold are 3,5,12 respectively.

Given that

Packages of a specific brand of razor blades contain 6, 12, and 19 blades and are priced at $4, $5, and $6, respectively. A retailer made $109 on the sale of 20 bundles totaling 306 razor blades. How many of each kind of package were sold?

By using algebra,

:

Let x = number of 6 blade packages.

Let y = number of 12-blade packages.

Give z the value of 19 blade packages:

Equation for the number of packages: x + y + z = 20 ——— 1: The equation for total cost

4x + 5y + 6z = 109 —————> Equation 2: The number of blades is 6x + 12y + 19z = 306 ————— 3: Multiply the first equation by 4 and take the result out of equation 2:

4x + 5y + 6z = 109

4x + 4y + 4z = 80\s——————————

When you subtract, you get x 0x + 1y + 2z = 29 y + 2z = (29 - 2z); you can use this for replacement.

Add equation 1 to equation 3 and multiply it by 6.

6x + 12y + 19z = 306

6x + 6y + 6z = 120

——————————-

Subtracting again removes x

0x + 6y + 13z = 186

6y + 13z = 186\s:

Replace y with ((29 - 2z) in

Find z 6 ((29 - 2z) + 13z = 186

174- 12z + 13z = 186

z = 12

z = 12 blade pkgs from the equation above:

y = 29 - 2z\

y = 29 - 2(12) (12)

y = 29 - 24

y = 5

Wkt, x + y + z = 20 x + 5 + 12 = 20 x = 3

Hence, The costs of each type that are sold are 3,5,12 respectively.

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Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

To find the Taylor polynomials centered at x = 0 for the function f(x) = 16tan(x), we can use the Taylor series expansion for the tangent function and truncate it to the desired degree.

The Taylor series expansion for tangent function is:

tan(x) = x + (1/3)x^3 + (2/15)x^5 + (17/315)x^7 + ...

Using this expansion, we can find the Taylor polynomials of degree 2 and 3 centered at x = 0:

Degree 2 Taylor polynomial:

P2(x) = f(0) + f'(0)(x - 0) + (1/2!)f''(0)(x - 0)^2

= 16tan(0) + 16sec^2(0)(x - 0) + (1/2!)16sec^2(0)(x - 0)^2

= 0 + 16x + 8x^2

Degree 3 Taylor polynomial:

P3(x) = P2(x) + (1/3!)f'''(0)(x - 0)^3

= 0 + 16x + 8x^2 + (1/3!)(48sec^2(0)tan(0))(x - 0)^3

= 16x + 8x^2

Therefore, the Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

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Answer:-1

Step-by-step explanation:

I got it wrong and it said that that is the right answer

1.- is congruent / correspond

2.- and

3.- is congurent / correspond

4.- and

5.-

6.- are not

7.- are not

8.- is not a

Answer:

82-24=48

Step-by-step explanation: