URGENT PLEASE

One number is 5 more than two times the other. Their sum is 11.

Answer:

8(3+4p)

Step-by-step explanation:

8 goes into 24 and 32, so it can be factored out:

\(24+32p=8(3+4p)\)

Answer:

8(3 + 4p)

Step-by-step explanation:

Factor 24 + 32p

First, factor out the GCF. In this case, the GCF is 8, and we have

8(3 + 4p)

We can't factor anymore so the answer is 8(3 + 4p)

Answer:

53 times per second

Step-by-step explanation:

There are 60 seconds in 1 minute, so divide the 3180 flaps per minute into 60 equal parts.

3180 / 60 = 53

a) The radius of the sphere is given as follows: 27.13 ft.

b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.

The surface area for a sphere of radius r is given by the equation presented as follows:

S = 4πr².

The surface area for this problem is given as follows:

9244 ft².

Hence the radius is given as follows:

\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)

r = 27.13 ft.

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Answer:

VP = 21

ZP = 7

Step-by-step explanation:

✔️Given that z is the centroid, thus, based on the centroid theorem:

\( VZ = \frac{2}{3}(VP) \)

VZ = 14

Plug in the value of VZ into the equation

\( 14 = \frac{2}{3}(VP) \)

Multiply both sides by 3

\( 14 \times 3 = \frac{2}{3}(VP) \times 3 \)

\( 42 = 2(VP) \)

Divide both sides by 2

42/2 = VP

21 = VP

VP = 21

✔️ZP = VP - VZ

ZP = 21 - 14

ZP = 7

Answer:

-11

Step-by-step explanation:

6(x-6)+2=8x-12

6x-36+2=8x-12 First take care of the parenthesis

6x-34=8x-12 then combine numbers

-2x-34=-12 Subtract 8 from both sides

-2x=22 Add 34 to both sides

x= -11 Divide by -2 on both sides

Answer:

Step-by-step explanation:

Solution

Steps

6(x−6) +2 = 8x−12

Expand by applying the distributive law:     a(b−c)=ab−ac

6(x−6)=6x-36

6x−36+2 = 8x−12

6x−34 = 8x−12

Add 34 to both sides

6x−34+34=8x−12+34

Simplify

6x=8x+22

Subtract 8x from both sides

6x−8x=8x+22−8x

Simplify

−2x=22

Divide both sides by −2

x=−11

Answer:

OOk

Step-by-step explanation:

Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

The area of the cylinder is a function of its height (h) and radius, (\(\mathbf{4\sqrt 3}\))

The exact value of h is: \(\mathbf{7\sqrt 2- 4\sqrt 3}\)

The given parameters are:

\(\mathbf{Area =56\pi\sqrt 6}\)

\(\mathbf{r=4\sqrt 3}\)

The surface area of a cylinder is calculated as:

\(\mathbf{Area = 2\pi rh + 2\pi r^2}\)

Substitute values for Area

\(\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}\)

Divide through by pi

\(\mathbf{56\sqrt 6= 2 rh + 2r^2}\)

Substitute value for r

\(\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}\)

\(\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}\)

\(\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}\)

Collect like terms

\(\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}\)

Make h the subject

\(\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}\)

\(\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}\)

Rationalize

\(\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}\)

\(\mathbf{h = 7\sqrt 2- 4\sqrt 3}\)

Hence, the exact value of h is: \(\mathbf{7\sqrt 2- 4\sqrt 3}\)

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Answer:

Step-by-step explanation:

y<7<-21

let me know if im right

if not let me know in the comments so i can fix the problem

and help u further

Answer:

B

Step-by-step explanation:

For example let's set up a quadratic equation.

Let's use

f(x) = (x + 10)^2 + 7

The seven is the y intercept so let's ignore that and focus on the ten.

When we graph this we end up getting the picture below. Now, why is the vertex at -10? The reason is the equation starts off with a negative sign.

f(n) = (h - x) + k

So, if x is positive then it will remain negative but still go in positive just because the equation has a subtraction sign in it.

As a result when the equation has + 10, it shows that the x is negative because x = -10 and when you do

h- (-10) it becomes h + 10.

Hoped this helps

Answer:

2/9

Step-by-step explanation:

Answer:

2/9

Step-by-step explanation:

Answer:

Bet whats your size

Step-by-step explanation:

Answer:

...?

Step-by-step explanation:

Answer:

  f(x) = (x +6)(x -5)  or  f(x) = x² +x -30

Step-by-step explanation:

You want a quadratic function whose zeros are -6 and +5.

If p is a zero of the polynomial f(x), then (x-p) is a factor. The two given zeros meant that the factors are ...

  f(x) = (x -(-6))·(x -5)

  f(x) = (x +6)(x -5) . . . . . . . . simplify a bit

This can be put in standard form by multiplying the factors:

  f(x) = x(x -5) +6(x -5) = x² -5x +6x -30

  f(x) = x² +x -30 . . . . . . . . simplified quadratic function

The quadratic function of the zeros is f(x) = \(x^2+x-30\).

What is quadratic function?

A polynomial function that has one or more variables and a variable having a maximum exponent of two is said to be quadratic. A polynomial of degree 2 is referred to as such because the greatest degree term in a quadratic function is of second degree. There must be at least one second-degree term in a quadratic function. It is a mathematical function.

Here the zeros of the function is -6 and 5.

We know that if zeros of the function is a then the factor is (x-a).

Then,

=> f(x) = (x-(-6))(x-5)

=> f(x) = (x+6)(x-5)

=> f(x) = \(x^2+6x-5x-30\)

=> f(x) = \(x^2+x-30\)

Hence the quadradic function is f(x) = \(x^2+x-30\).

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Applying the law of sines, the length of ZY to the nearest hundredth is: 3.30 units.

sin X/x = sin W/w = sin Z/z [according to the law of sines].

Given:

Measure of angle X = 60°

Measure of angle Z (∠XZW) = 180 - 60 - (180 - 83) = 23°

x = WZ = ?

z = XW = 1.5

Plug in the values into sin X/x = sin Z/z

sin 60/WZ = sin 23/1.5

WZ = (sin 60 × 1.5)/sin 23

WZ = 3.32

Find ZY using the sine ratio;

sin ∅ = opp/hyp = ZY/WZ

sin 83 = ZY/3.32

ZY = (sin 83)(3.32)

ZY = 3.30

Therefore, applying the law of sines, the length of ZY to the nearest hundredth is: 3.30 units.

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Answer:

y=3x+5

Step-by-step explanation:

you do 4 times 3 then subtract that from 17

Answer:

r=ln3/10

Step-by-step explanation:

The daily rate is given by 3 to the power x divided by 10.

We have given that a sample of bacteria is growing at a continuously compounding rate.

The sample triples in 10 days.

The daily rate of the bacteria growth is. exponential growth is in the form

y = abˣ

where y, x are variables.

a is the initial value

Sample triples, in 10 days. therefore the value of b=3.

Therefore we get,

\(y=3a^{\frac{x}{10}\)

\(y=a3^{\frac{x}{10}\)

Therefore the daily rate is given by \(3^{\frac{x}{10}\).

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Answer:

(x-8)(x^2-2)

Step-by-step explanation:

take x common from the first 2 terms and take -2 common from the last two terms. Then, take (x-8) common.

x^2(x-8)-2(x-8) = (x-8)(x^2-2)

The radius of the cylinder is 2.25 feet.

To find the radius of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the volume V is 400 cubic feet and the height h is 25 feet, we can substitute these values into the formula and solve for the radius r.

400 = 3.14 r² x 25

Dividing both sides of the equation by (3.14 * 25) to isolate r^2, we have:

r² = 400 / (3.14 x 25)

r² ≈ 5.08

Taking the square root of both sides to solve for r, we get:

r ≈ √5.08

r ≈ 2.25

Therefore, the radius of the cylinder is 2.25 feet.

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Answer: I'm pretty sure it's b.

Step-by-step explanation:

When you simplify negative exponents u have to change it to a fraction out negative exponents in bottom and make the exponents positive

Step-by-step explanation:

There are 12 months in a year so,

114/12= 9.5$/month

t=9.5m

Since T represents the total cost, we want to express it in terms of months by multiplying m which refers to the number of months by the monthly fee which i have already calculated.

Using this equation we can find out the answer to your previous question.

t=9.5m

but m=3×12+5=41 months (3 years 12 months each)

t=9.5(41)

t=389.5 $

Points obtained on the quiz increases when the points are earned from

correct responses.

Reasons:

The number of questions in the quiz = 25 questions

Number of points for correct answers = 3 points

Number of points lost for incorrect answers = 2 points

Points for question not answered = 0 points

Nature of total points = Positive and negative

Required:

The minimum score one can get on the quiz.

Solution:

The minimum score that can be obtained is when all responses result in a

loss of points, due to the questions being incorrect.

Therefore;

The minimum score = 25 × (-2) = -50

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Anna's total profit was $6000 + $16000 - $4000 = $14000.

How did Anna earn profit

Anna bought $4000 of company stock. The value of the stock doubled when she sold 75% of it, which means she sold 0.75 * $4000 = $3000 worth of stock when its value doubled.

Since the value of the stock doubled, Anna sold the $3000 worth of stock for 2 * $3000 = $6000.

Anna then sold the remainder of the stock (25% of the original amount) for four times the purchase price. Since she originally bought the stock for $4000, the remainder was worth 0.25 * $4000 = $1000.

Selling this remainder for four times the purchase price means that Anna sold it for 4 * $4000 = $16000.

Answer:

a-25

b-243

5^3 = 125/3 = 25

3^6 = 729/3 = 243

Answer:

its B

Step-by-step explanation:

Answer:

5x+6=10+10=8x-15

Step-by-step explanation:

The firm's federal income tax is $57,168.

To calculate the firm's federal income tax, we need to determine its taxable income first. Taxable income is calculated by subtracting deductions from the firm's total income.

In this case, the firm's total income consists of income from operations, interest income, and dividend income.

Total income:

Income from operations = $231,000

Interest income = $23,100

Dividend income = $29,700

Total income = $231,000 + $23,100 + $29,700 = $283,800

Next, we deduct expenses from the total income. In this case, the only relevant expense is the interest paid to bondholders:

Total expenses = Interest paid to bondholders = $11,000

Taxable income = Total income - Total expenses = $283,800 - $11,000 = $272,800

Now, we can calculate the federal income tax by applying the federal tax rate of 21% to the taxable income:

Federal income tax = Taxable income * Federal tax rate

Federal income tax = $272,800 * 0.21 = $57,168

Therefore, the firm's federal income tax is $57,168.

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A, the relation is not a function

in order for something to be a function, x (the input) can't repeat itself more than once

Answer:

1/45

Step-by-step explanation:

Let A be the event that the applicant has a Master's degree and B be the event that the applicant does not have work experience.

Then, we are given:

P(A) = 1/3

P(not B) = 4/9

P(at least one characteristic) = P(A or B) = 1/5

We want to find P(A and not B), which is the probability that the applicant has a Master's degree but no work experience.

Using the formula:

P(A or B) = P(A) + P(B) - P(A and B)

We can rearrange to solve for P(A and B):

P(A and B) = P(A) + P(B) - P(A or B)

P(B) = 1 - P(not B) = 1 - 4/9 = 5/9

Substituting in the given probabilities:

1/5 = 1/3 + 5/9 - P(A and B)

Solving for P(A and B):

P(A and B) = 1/3 + 5/9 - 1/5

P(A and B) = 1/45

Therefore, the probability that the applicant will have both characteristics (a Master's degree and no work experience) is 1/45.