Find the sum
(2x^3-x-9)+(7x^2-5x-2)
A) 9x^2-6x-11
B)2x^3+7x^2-4x-11

C) 2x^3+7x^2-6x-7
D)2x^3+7x^2-6x-11

Answer:

Claire will get 12,800 pounds of interest

Step-by-step explanation:

6.4% of 200,000 is 12,800

How did I get 6.4? 1.6 * 4 = 6.4

Answer:

The probability that the state will be hit by a major tornado two years in a row is 0.00309.

Step-by-step explanation:

Independent events are those events that are not affected by the occurrence (or no occurrence) of other events. These events do not affect the probability of another even taking place.

For example, the events of winning a lottery and being late for work are independent or the events of taking a cab home and making dinner are also independent.

In this case we are provided that the probability that a certain state will be hit by a major tornado is, [tex]\frac{1}{18}[/tex].

Consider the event that a state was hit by the major tornado.

The event of the major tornado hitting a state a second time next year is not dependent on the fact that it had already hit that state last year.

The two events are independent.

Compute the probability that the state will be hit by a major tornado two years in a row as follows:

P (Tornado hits twice) = P (Tornado in 1st year) × P (Tornado in 2nd year)

                                     [tex]=\frac{1}{18}\times \frac{1}{18}\\=0.00309[/tex]

Thus, the probability that the state will be hit by a major tornado two years in a row is 0.00309.

The probability that a state will be hit by a major tornado two years in a row, given that the probability for any single year is 1/18, is 1 in 324.

The question is asking about the probability that a certain state will be hit by a major tornado two years in a row, given that the probability for any single year is 1/18. In this question, the two events are independent, meaning that the occurrence of a tornado in one year does not affect the occurrence of a tornado in the next year. Therefore, we can simply multiply the probabilities for each year to find the two-year probability.

To calculate, we take the probability of a tornado in one year (1/18) and multiply it by the same probability for the next year (which is also 1/18).

So, the calculation is (1/18) * (1/18) = 1/324.

This means that the probability that the state will be hit by a major tornado two years in a row is 1 in 324.

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Answer:

[tex]6n - 5[/tex]

Step-by-step explanation:

Step 1:  Rewrite as a numerical expression

[tex](6 * n) - 5[/tex]

[tex]6n - 5[/tex]

Answer:  [tex]6n - 5[/tex]

If needed, solve

[tex](6 * n) - 5 + 5 = 0 + 5[/tex]

[tex]6n / 6 = 5 / 6[/tex]

[tex]n = 5/6[/tex]

Answer:It is the result is 7 more than the sum of 3 times the number and 13.  

Step-by-step explanation:

Answer:

1105 cubic centimetre

Step-by-step explanation:

volume of rectangular prism

[tex] = 17 \times 13 \times 5 \\ = 1105 \: {cm}^{3} [/tex]

Answer:

7x2

Step-by-step explanation:

7x2 is 14 and all the other ones equal 7

4x+3x,(4+3)x, and 7x are equivalent except 7x^2

Let's solve:

4x+3x=7x

(4+3)x=7x

Hope it will help u...

Answer:

Step-by-step explanation:

{-7,-6,-5,-4,-3,-2,-1,0,1 }

9 numbers between -8 and 2.

Answer:

i wanna say yes it is a natural number, i hope this helps

Answer:

9/6 or 3/2 or 1 1/2

Step-by-step explanation:

Do distributive property to get rid of the parenthesis

4x + 2x + 3 = 12

combine like terms

6x + 3 = 12

move the 3 over by subtraction

6x = 9

divide by 6

x = 9/6 or 3/2 or 1 1/2

Answer:

Exact Form:

X

=

3 /2

Decimal Form:

X

=

1.5

Step-by-step explanation:

Width is 3 cm and length is 12 cm

Step-by-step explanation:

Perimeter of the rectangle = 2 (length + breadth)

30 = 2(x + 4x)

30 = 10x

⇒ x = 30/10 = 3

⇒ 4x = 12

Answer:

46

Step-by-step explanation:

So angle b equals to 46 degrees

Complementary angles equal to 90 degrees when added together. So set the equation to 90.

44+x=90

Subtract 44 from both sides

x=46

Answer:

I think it's 8\12

Step-by-step explanation:

there are numbers from 1 to six on each dice that means there are 12 numbers on the two dice together and it says four or less there are 1,2,3 and four on the dice that is four or less double that and you get 8when you put that over 12 it becomes 8/12. I hope it helps alot

The probability of rolling a sum of 4 or less with two dice is 6 out of 36 outcomes, which simplifies to 1/6 or 0.1667 when rounded to four decimal places.

To calculate the probability that the sum of two rolled dice will be 4 or less, we can list all possible outcomes (the sample space) and then count the favorable outcomes. A single six-sided die has 6 faces, so the total number of outcomes when rolling two dice is 6 × 6 = 36. The pairs of dice that sum to 4 or less are: (1,1), (1,2), (1,3), (2,1), (2,2), and (3,1). There are 6 such pairs, so the probability of rolling a sum of 4 or less is 6/36, which simplifies to 1/6.

The probability should be rounded to four decimal places if necessary, but in this case, the fraction simplifies exactly to 1/6. Therefore, the probability is 0.1667 when rounded to four decimal places.

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Answer:

20y = -5x + 10

y = -1/4x + 1/2

y - 3 = -1/4(x - 8)

y - 3 = -1/4x + 2

y = -1/4x + 5

Step-by-step explanation:

Answer:

what does the shpe look like

Step-by-step explanation:

Answer:

perimeter=2

perimeter = 11

Step-by-step explanation:

Answer:

$1300

Step-by-step explanation:

The piecewise function is defined as f(x) = 0.05x - 300 over the income range of $15,000 to $40,000. An Aribraska resident who earns $32,000 would owe $1,600 in taxes.

The piecewise function is defined as f(x) = 0.05x - 300 over the part of the domain where the income is between $15,000 and $40,000. This is because the tax rate of 5% is being applied to the income in this range. For any income above $40,000, the tax rate is 7%, so the function would not be equal to 0.05x - 300.

To calculate the amount of taxes owed by an Aribraska resident who earns $32,000, we need to determine the income range that applies to this amount. Since $32,000 is within the range of $15,000 to $40,000, we can use the piecewise function to calculate the taxes:

f(32,000) = 0.05(32,000) - 300 = 1,600

Therefore, an Aribraska resident who earns $32,000 would owe $1,600 in taxes.

Answer:

[tex]-2 + 0i[/tex]

Step-by-step explanation:

Step 1:  Find the answer

[tex]\sqrt[3]{-8}[/tex]

[tex]\sqrt[3]{(-2)^3}[/tex]

[tex]-2[/tex]

[tex]-2 + 0i[/tex]

Answer:  [tex]-2 + 0i[/tex]

Answer:

The diameter is 14

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

We know the area is 49 pi

49 pi = pi r^2

Divide each side by pi

49 pi/ pi = pi r^2/pi

49 = r^2

Take the square root of each side

sqrt(49) = sqrt(r^2)

7 =r

We want the diameter

d = 2r

d = 2*7

d = 14

Answer: -17/15 or simplified as a mixed number -1 2/15

Step-by-step explanation: First convert both -4/5 and 1/3 to fifteenths. Multiply -4/5 by 3/3 to get -12/15. Multiply 1/3 by 5/5 to get 5/15. Then subtract 5/15 from -12/15. -12-5=-17 (numerator).

Answer:

No it doesn’, the result will be 0 as -4 + 4 = 0

Try it on your calculator and see

Step-by-step explanation:

Answer:

Simplifying

0 = -4p + 4p

Combine like terms: -4p + 4p = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

Step-by-step explanation:

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 1)

m = [tex]\frac{1-0}{0+1}[/tex] = 1

Answer:

9 square feet.

Step-by-step explanation:

First, set up this equation: 486 = 6(x^2)

Divide 486 by 6 to get 81, and square root both sides to get x = 9.

Answer:

125=15d+50

Step-by-step explanation:

Subtract what she has from what she needs so 125-50=75

Then divide that by the amount of money she makes a day to figure out how many days she'll need to work so, 75/15=-5

She will have to work 5 days in order to have enough to buy her ticket

Answer:50+15d=125

5 days

Step-by-step explanation:

Subtract 50 from both sides to get 15d=75 then divide both sides by 15 and the answer is 5 days

Answer:

Step-by-step explanation:

Volume = surface area of base * height

[tex]=\frac{25}{4}*\frac{8}{5}\\\\=5*2=10\\\\=10 units^{3}[/tex]

Answer:

Step-by-step explanation:

0.53 is the answer to the nearest hundredth.

To calculate the cosine of ∠X in the right triangle WXY, we use the ratio of the adjacent side length (YW = 45) to the hypotenuse length (XW = 53), which results in approximately 0.85 when rounded to the nearest hundredth.

In ΔWXY, we're given that ∠Y is a right angle, meaning that the triangle is a right triangle. To find the cosine of ∠X, we can use the definition of cosine in a right triangle, which is the ratio of the adjacent side to the hypotenuse in the context of the angle we're interested in. Since ∠X is across from side YW, and XW is the hypotenuse, we'll take the length of YW as the adjacent side. The formula for the cosine of angle X then becomes:

cos(∠X) = adjacent/hypotenuse = YW / XW = 45 / 53

Calculating this value, we get cos(∠X) = 0.8490566037735849, which when rounded to the nearest hundredth is 0.85.

Answer:C=6

Step-by-step explanation:C directly proportional to D

C=kD where k=constant

C=32, D=4×4

32=k16

K=32÷16

K=2

Now D=3 and k=2

C=kD

C=2×3

C=6

Answer: c=18

Step-by-step explanation:

C is directly proportional to square of D

C € D2

€ rep directly proportional

C=kd2

K is a constant

C=32

D=4

Substitute

32=k(4^2)

32=k(16)

32=16k

K=32/16

K=2

Since we know our constant k to be 2

Substitute

We are looking for c,when d=3

C=kd2

C=2×(3^2)

C=2×9

C=18

Answer: 2.5

Step-by-step explanation:

One complete revolution equals 360 degrees. To find out how many revolutions 900 degrees represent, you divide 900 by 360 resulting in 2.5 revolutions.

To ascertain the number of revolutions in 900 degrees, consider that a full circle encompasses 360 degrees. Dividing 900 by 360 yields 2.5, revealing that 900 degrees translates to 2.5 revolutions. This calculation stems from the fundamental concept that each complete revolution covers 360 degrees. In essence, the formula involves dividing the given degree measure by the standard degree value for a full revolution. Consequently, this approach facilitates the conversion of angular measurements into a more comprehensible representation of revolutions, aiding in the interpretation of rotational or circular motions within mathematical or physical contexts.

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Answer:

A=lw+l(w

2)2+h2+w(l

2)2+h2

Step-by-step explanation:

Answer:

95 units²

Step-by-step explanation:

Find the area of the base and the four triangles

Base

(5)(5) = 25 units²

Triangles

1/2(7)(5)*4

1/2(140)

70 units²

Add them together -- 70+25 = 95 units²

Answer:

3.5 hours

Step-by-step explanation:

Use the formula:

distance=rate*time

224=64t

Divide by 64 on both sides

t=3.5

So, it takes 3.5 hours to travel 224 miles

Hope this helps! :)