Erik bought a mattress that was marked down 70% from an original price of $500. If the sales tax in Oak Grove is 8%, what was the total cost of the mattress?​

The sum of the given series are:2(cos 2), cos 2 and 2cos 2.

Given series are:[infinity] (−1)n2n 42n(2n)! n = 0 [infinity] (−1)n2n 32n 1(2n)! n = 0 [infinity] (−1)n2n 4n(2n)! n = 0

To find the  Sum of the above series.

To find the sum of the given series, we have to use the Maclaurin's expansion of cosx which is given as:

cos x = 1 - x2/2! + x4/4! - x6/6! + x8/8! - x10/10! + ...

For x = 2, we have  cos 2 = 1 - 22/2! + 24/4! - 26/6! + 28/8! - ...

cos 2 = 1 - 2 + 4/24 - 16/720 + 256/40320 - ...

cos 2 = 1 - 2 + 1/6 - 1/45 + 1/1680 - ...

By simplifying the given series, we get:

Given series: [infinity] (−1)n2n 42n(2n)! n = 0

Sum = [42(cos 2)] / 2 = 2(cos 2)

Given series: [infinity] (−1)n2n 32n 1(2n)! n = 0

Sum = [32(cos 2)] / 2 = cos 2

Given series: [infinity] (−1)n2n 4n(2n)! n = 0

Sum = [4(cos 2)] / 2 = 2cos 2

Therefore, the sum of the given series are:2(cos 2), cos 2 and 2cos 2.

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Answer:

W= B-3 or 3=B-W

Step-by-step explanation:

just add or subtract either

Answer:

w = b - 3

Step-by-step explanation:

3 + w = b

-3        -3

w = b - 3

Hope this helps!

Answer:

39 hours

Step-by-step explanation:

First solve for how much Taylor would earn per hour which is to divide 203.40 by 9

= 203.40÷9 = 22.6

Let x represent the unknown hours

If 22.6 = 1 hr

Then 881.40 = x solving this simultaneously becomes

881.40 ÷ 22.6 = 39

x = 39, hence it'll take Taylor 39 hours to earn $881.40

She have to work 39 hours the next week to earn $881.40.

In simple terms, the unitary method is used to find the value of a single unit from a given multiple. For example, the price of 40 pens is Rs. 400, then how to find the value of one pen here. It can be done using the unitary method. Also, once we have found the value of a single unit, then we can calculate the value of the required units by multiplying the single value unit.

In 9 hours she earned  $203.40

∴ In 1 hour she earned $203.40/9 = $22.6

Let number of hours she worked to earn  $881.40  be x.

∴ x =   $881.40/ $22.6

x = 39 hours

Thus she have to work 39 hours the next week to earn $881.40.

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Answer:

for just the slope its 3/5 or in decimal its .6

Step-by-step explanation:

y's on top x's on bottom

1--2

1+2=3

2--3

2+3=5

so slope is 3/5 or .6

Recall that in one foot, there are 12 inches. Let's use this conversion to convert 546 inches in feet.

Divide 546 inches by 12 inches.

Hence, 546 inches is equivalent to 45.5 feet.

Answer:

13/4

Step-by-step explanation:

Answer:

add the areas of each geometric figure making up the composite figure.

Step-by-step explanation:

Answer:

To find the surface area of a composite 3D figure, add the areas of each geometric figure making up the composite 3D figure.

Step-by-step explanation:

Answer:

x = 3

y = 21

(3,21) and if u want slope it will be 7 :D

Step-by-step explanation:

y = 10x - 9

y = x + 18

1. Substitute for the y

10x - 9 = x + 18

2. Add 9 onto both sides

10x - 9 + 9 = x + 18 + 9

10x = x + 27

3. Subtract x on both sides

10x -x = x - x+ 27

9x = 27

4. Divide by 9 on both sides

9x/9= 27/9

x = 3

__________________________________________________________

Now that you have x, substitute that into one of the equations

y = x + 18

y = 3 + 18

y = 21

or  

y = 10x - 9

y = 10(3) - 9

y = 30 - 9

y = 21

there both the same

__________________________________________________________

x = 3

y = 21

Hope this helped!

Answer:

x +18 = 10x -9 (since they both = y, set them equal to each other. )

-9x +18 = -9 (subtract 10x from both sides, then subtract 18 from both sides)

-9x = -27 (divide both sides by -9 to isolate x)

x= 3 (take this and plug it into one of the equations to solve for y)

y = x +18 (i choose this one)

y = 3+18 (add)

y = 21 (take this and x and make a point and that's your answer)

(3,21) or C

Step-by-step explanation:

I hope this helps :)

Answer:

the additional number of people is 42

Answer:

42 add'lmen required

Step-by-step explanation:

12 men x 27 days = 324 man-days required to complete the project

324 man-days  / x  men   = 6 days

x = 54 men  required to complete in 6 days   ....or   42 add'l men required

The derivative of of f(x) = 10 is 0

The derivative of a function is the measure of the rate of change of the function. They are fundamental to the solution of problems in calculus and differential equations.

Here the function is not changing as 10 is a constant. So, if f(x) = c where c is a constant then f'(x) = 0 as the derivative of a constant is always zero.

Mathematically:

           d(f(x))/dx = \(\lim_{h \to 0}\) (f(x+h) - f(x))/h

There  is no x to substitute for x + h so no difference is noticed:

             \(\lim_{h \to 0}\) (f(x+h) - f(x))/h =   \(\lim_{h \to 0}\) (10 - 10)/h = 0

Hence, the derivative of f(x) = 10 is 0

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The distance between the 3rd lamppost and 8 th lamppost is 100 meters.

EXPLANATION:

If the distance between 2 lampposts is 40 meters, you would divide the neters by 2. This would give you the answer of 20, meaning the distance between lampposts is 20 meters. So multiply 20 * 5 to get the distance between the third lampost and eight lamppost.

Answer:

Step-by-step explanation:

The probability P(Z>1.28) represents the area under the standard normal distribution curve to the right of the z-score 1.28.

Using a standard normal distribution table or a calculator, we find that the area to the right of 1.28 is approximately 0.1003.

Therefore, the answer is closest to option (b) 0.10. there is a 10% chance of obtaining a value above 1.28 in a standard normal distribution.

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Answer:

Step-by-step explanation:

You see that 't' is the 'argument' or 'input' to h:  h(t).  It is always safe to assume that t is the independent variable and h is the depend

Answer:

7.20 dollars

multiply $4 and 80%

then add ur answer with 4

Step-by-step explanation:

please pass this on... ( #helpsavelives )

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful no matter ur shape, size, color, gender.. anything

don't give up i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

Answer:

$25 and 8 cents more

Step-by-step explanation:

55.50 - 30.50 = 25

18 - 10 = 8

Answer:

:)

Step-by-step explanation:

It's 8 percent! Mark brainliest pls

Answer:

x + 338 = 550

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first one is a wide U above the X axis.

The second one is an upside down U below the X axis.

The third one is a narrow U above the X axis.

The center of the U should always be the origin.

Answer:

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

You are 14 right now if you were 7 yo 7 years ago. Add 7 more years to 14 and you get 21

Answer:

90°

Step-by-step explanation:

follow the tangent rule.

Answer:

THE SUM OF TWO NUMBERS =18

DIFFERENCE WHEN SECOND NUMBER IS SUBTRACTED TO THE FIRST NUMBER=2

OTHER NUMBER =20

BECAUSE DIFFERENCE WHEN SECOND NUMBER IS SUBTRACTED TO THE FIRST NUMBER IS 2...

EASY..

Step-by-step explanation:

HOPE JT HELPS THANK YOU

Step-by-step explanation:

Well they made 19 clay, where 12 were vases. That means 7 were not vases. She randomly chooses 16 clay objects, which then also means 3 were left behind. so if the vases are  12/19, which is approximately 63%, then 63% of the objects are vases. Makes sense, right? Well now we need to multiply that by the initial 11 in the question. After all of this work..

Answer: 6.9474 or 6.94736.

Please mark as Brainliest.

The simplification of the expression is,

⇒ 1140√2 i

We have to given that;

The expression is,

⇒ (2√ -54) (10√48)

Now, We can simplify as;

⇒ (2√ -54) (10√48)

⇒ (2 x 3 √6i ) (10 x 4 √3)

⇒ 480i x √2 x 3

⇒ 1140√2 i

Thus, The simplification of the expression is,

⇒ 1140√2 i

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Let be the subset of consisting of all vectors such that and determine if is a subspace of and check the correct answer(s) below. a. is a subpace because it has a zero element. Option (A)

Let \($S$\) be the subset of \($\mathbb{R}^3$\) consisting of all vectors such that \(x_1 + x_2 + x_3 = 0$.\) To determine if $S$ is a subspace of \($\mathbb{R}^3$\), we need to check the following three conditions:

\($S$\) contains the zero vector\(: $(0,0,0) \in S$ since $0+0+0=0$.\)

$S$ is closed under addition: if\($\mathbf{u}, \mathbf{v} \in S$,\)then \($(u_1+v_1)+(u_2+v_2)+(u_3+v_3) = (u_1+u_2+u_3) + (v_1+v_2+v_3) = 0+0 = 0$, so $\mathbf{u}+\mathbf{v} \in S$.\)

$S$ is closed under scalar multiplication: if\($\mathbf{u} \in S$ and $c$ is\) a scalar, then \(c\mathbf{u} = c(u_1,u_2,u_3) = (cu_1,cu_2,cu_3)$ and $(cu_1+cu_2+cu_3) = c(u_1+u_2+u_3) = c\cdot0 = 0$, so $c\mathbf{u} \in S$.\)

Since all three conditions are satisfied, we conclude that \($S$\) is a subspace of\($\mathbb{R}^3$.\)Therefore, the correct answer is (a) is a subspace because it has a zero element.

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Answer:

117 cm²

Step-by-step explanation:

Right triangular prism: 5 surfaces

SA: 2 triangles + 3 rectangles

Triangles

A = bh/2

A = (4 · 3)/2 = 12/2

6 cm²

Rectangles

A = bh

A = 5 · 7

35 cm²

Total

SA: 2 triangles + 3 rectangles

SA: 2(6) + 3(35)

117 cm²

Hope this helps and God bless!

The true statement about the function is that (c) the domain of f(x) consists of all values of x such that g(x) does not equal 0 and h(x) does not equal 0.

The complete question is added at the end of this solution

From the complete question, we have the following equation

f(x) = g(x)/h(x)

The above equation means that

The function f(x) is the quotient of the functions g(x) and h(x)

For the function f(x) to have real values, the function h(x) must not equal 0

i.e. h(x) ≠ 0

This is so because

A number or an expression divided by 0 is not a real number

Hence, the true statement is that the domain of f(x) consists of all values of x where h(x) does not equal 0.

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Complete question

which of the following statements is true about a rational function of the form where g and h are polynomial functions?

A. If the rational function has a removable discontinuity, then it cannot have a vertical asymptote. g(x)

B. The rational function f(x) h(x) will have a removable discontinuity at x = a if g(a) = 0. g(x)

C. The domain of f(x) consists of all values of x such that g(x) does not equal 0 and h(x) does not equal 0.

D. If the rational function has a removable discontinuity, then it cannot have a horizontal asymptote.