simplify this expression
5*sqrt(x^22) where x<0

Answer:

$6,524.96

Step-by-step explanation:

Take the commission total which is $1631.24 divide it by 25% or .25.

$1,631.24 ÷ .25=$6,524.96 cost of the used car

Check your answer by taking your answer and multiple it by 25%.

$6,524.96 (cost of the car) × .25 =$1,631.24 commission

Answer:

$6,524.96

Step-by-step explanation:

Step One: Because the amount she is paid is the 25% commission, multiply the 1,631.24 by 4 ( 4 because she is paid 1 out of 4 parts of the total selling price)

Step Two: the answer is 6,524.96

Answer:

[tex][g\circ f](x)=-2[/tex]

Step-by-step explanation:

By the definition

[tex][g\circ f](x)=g(f(x))[/tex]

You are given

[tex]f(x)=2x-1\\ \\g(x)=-2[/tex]

So,

[tex][g\circ f](x)=g(f(x))=g(2x-1)=-2[/tex]

Answer:

y = 13

Step-by-step explanation:

If it's a parallelogram then its consecutive angles are supplementary (add up to 180°).

6x - 12 + 132 - x = 180°,

5x + 120 = 180

5x = 60

 x = 12

6x - 12 = 6(12) - 12 = 72 - 12 = 60

Parallelogram, opposite angles are equal

so

6y + 18 = 6x - 12

6y - 18 = 60

6y = 78

  y = 13

Answer: -3/2x + 7/2

Step-by-step explanation:

for parallel lines; m₁ = m₂

the gradient of the given line is -3/2

2y= -3x + 4

y = -3/2x + 2

therefore the gradient of the parallel line is -3/2

hence the equation is y-y₁ = m(x-x₁)

y-5 = -3/2(x+1)

y - 5 =-3/2x - 3/2

y = -3/2x -3/2 + 5

y = -3/2x + 7/2

Answer:

d

Step-by-step explanation:

30% of 50 is 15 because 30 % means 30out of 100

and if you half 100 you also half 30

Valentina, with a 30% probability, can expect to draw a blue marble 15 times out of 50 draws. This is calculated by multiplying the total number of draws by the probability of drawing a blue marble.

The question revolves around the concept of probability. The probability of an event is the measure of the likelihood that the event will occur. In Valentina's case, she has a 30% chance of drawing a blue marble. Therefore, if she were to draw a marble 50 times, we would expect her to draw a blue marble 30% of those 50 times. Probability is often expressed as a fraction or decimal, and in this case, 30% translates to 0.30 in decimal form.

To calculate how many times we can expect Valentina to draw a blue marble, we multiply the total number of draws (50) by the probability of drawing a blue marble (0.30).

So, 0.30 * 50 = 15.

Therefore, Valentina can expect to draw a blue marble 15 times out of 50 draws.

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Answer:  The correct option is

(A) at the most 10.

Step-by-step explanation:  Given that Mary’s parents gave her $60 as pocket money to meet her daily expenses. She spent $20 on clothes and $10 on food.

Also, she wishes to buy some books and each book costs $3.

We are to solve the inequality to find the number of number of books that she can buy.

Let the number of books that Mary can buy be n.

Then, according to the given information, we have

[tex]20+10+n\times3\leq 60\\\\\Rightarrow 30+3n\leq 60\\\\\Rightarrow 3n\leq 60-30\\\\\Rightarrow 3n\leq 30\\\\\Rightarrow n\leq \dfrac{30}{3}\\\\\Rightarrow n\leq 10.[/tex]

Thus, Mary can buy at most 10 books.

Option (A) is CORRECT.

Answer:

False

Step-by-step explanation:

Let's list all the odd numbers less than 15.

13, 11, 9, 7, 5, 3, 1

Prime numbers are numbers that can only be multiplied by 1 and themselves. But, we can see, that 9 can be multiplied by 3 and 3, making it a not-prime number (sorry I don't remember the exact name for that, I'm blanking out).

The number 9 makes that statement false.

Hope I helped! ouo.

~Potato.

Copyright Potato 2019.

Answer:

False

Step-by-step explanation:

Consider the odd numbers less than 15

1, 3, 5, 7, 9, 11, 13

A prime number has only 2 factors, namely 1 and itself

9 has factors : 1, 3, 9 ← not Prime

The statement is therefore False

Check the picture below.

make sure your calculator is in Degree mode.

Answer:

The opposite side x is 7

Step-by-step explanation:

Step one

From the given expression in the picture

We can estimate x by applying the

SOH CAH TOA rule on the triangle

Since we have one side and one angle given

step two

From the given picture we have

We have θ and adjacent side given

Hence we need to apply

tan θ= opposite/adjacent =

Tan 35°=x/10

Step three

From 4 figure table or calculator

tan 35° is 0.7

0.7=x/10

x=0.7*10

x= 7

ANSWER

$16,384

EXPLANATION

From the question we have that,

Nadir saves $1 the first day of a month, $2 the second day, $4 the third day, and so on.

This forms a geometric sequence,

[tex]1,2,4,...[/tex]

The first term of this sequence is

[tex]a = 1[/tex]

The common ratio is

[tex]r = \frac{2}{1} = \frac{4}{2} = 2[/tex]

The general term of a geometric sequence is given by the formula:

[tex]f(n) = a {r}^{n - 1} [/tex]

To find the 15th term, we plug in a=1, r=2 and n=15.

[tex]f(15) = 1 {(2)}^{15 - 1} [/tex]

[tex]f(15) = {2}^{14} [/tex]

[tex]f(15) = 16384[/tex]

The amount he will save on the 15th day is $16,384

Answer:

  A. product 1

Step-by-step explanation:

An exponential function (with a base larger than 1) will eventually exceed the value of any polynomial function. Product 1 has a price described by an exponential function, so its price will exceed all others. (One only need to compute the values for x=4 to see this.)

_____

The attachment extends the table and plots the functions up to the point where Product 1 exceeds the others.

Answer:

0.25

Step-by-step explanation:

The probability that a football player has suffered more than 3 broken bones is equal to the probability they suffered 4 or 5.

P(x>3) = P(4 or 5)

P(x>3) = P(4) + P(5)

P(x>3) = 0.10 + 0.15

P(x>3) = 0.25

Answer:

B: triangle AEH

C:triangle DAE

E: triangle GDH

F: triangle CFG

H: triangle BCF

Step-by-step explanation:

just took the unit test  hope it helps ;)

Right angle triangles are triangle AEG ,  triangle AEH , triangle DAE ,  triangle BFH , triangle CFG , triangle BCF  .

Right angle triangle :

A  Right triangle states that if one of the angles of a triangle is a right angle - 90º .

So , In the figure given below we get :

→  In triangle AEG  : the angle between AE and AG is 90 ^ º .

→  In triangle AEH : the angle between  AE and EH is 90 ^ º .

→ In triangle DAE :  the angle between DA  and AE  is 90 ^ º .

→ In triangle BFH :  the angle between BF  and FH  is 90 ^ º .

→ In triangle GDH :  the angle at G , D and H is 60 ^ º .

→ triangle CFG :  the angle between CG  and GF is 90 ^ º .

→  triangle DFH : the angle between sides is not  90^ º .

→  triangle BCF :  the angle between BC  and BF is 90 ^ º .

learn more about the right angle triangles here :

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Answer:

1,352.32

Step-by-step explanation:

If you take 7.6 and multiply it to 16,412.05 (.076)(16,412.05), you get 1,247.32. You then add the overhead cost of 105 to get 1352.32. (Apex verified too)

The drivers insurance premium is:

                $ 1352.3158

The probability of a driver getting into an accident is 7.6%.

The average cost of an accident is $16,412.05.

This means that the expected amount that will be paid to each of the driver by the company on accident will be:  0.076×16412.05

                                                       = $ 1247.3158

Also, the overhead cost for an e company per insured driver is $105.

This means that the insurance premium of driver is:

       =   105+1247.3158

     =    $ 1352.3158

Answer:

w = 54°

Step-by-step explanation:

w is the inscribed angle subtended on the same arc with measure of 108°

w is half the size of the central angle, that is

w = 0.5 × 108° = 54°

1. Same length.

2.vertically opposite angle.

3.BAC =BDE

4.AC = DE

Hope this helps you ___!!❤

Answer:

C

Step-by-step explanation:

As with most problems of this type, you need to draw an actual line that has approximately the same number of data points on each side of it.  If you'll do that you'll see that this line crosses the y-axis at approx. y = 4.  Only Answer C has that y-intercept.

Sorry this is a little late, but I hope it'll still help someone in the near future.

The next larger scale size is 2.827

Hope this helps :)

Answer:

Next larger scale size = 2.827

Step-by-step explanation:

For a certain font scale factor is 1.414 and one of the scale size is 1.999.

so we have to find the next larger scale size.

Since scale factor will be defined as the ratio of larger scale size of the font and smaller font size.

[tex]\text{Scale factor}=\frac{\text{Larger font size}}{\text{smaller font size}}[/tex]

1.414 = [tex]\frac{\text{Larger font size}}{1.999}[/tex]

Larger font size = 1.414 × 1.999 = 2.8266 ≈ 2.827

Next larger scale size = 2.827

Answer:

The quotient is [tex]2x^2-5x+2[/tex]

Step-by-step explanation:

We want to simplify:

[tex]\frac{6x^4-15x^3+10x^2-10x+4}{3x^2+2}[/tex]

We factor the numerator to get:

[tex]\frac{(x-2)(2x-1)(3x^2+2)}{3x^2+2}[/tex]

We cancel out the common factors to get:

[tex](x-2)(2x-1)[/tex]

Therefore the quotient is [tex]2x^2-5x+2[/tex]

ANSWER

[tex]4(x + 6)(x - 2)[/tex]

EXPLANATION

The given rational expression is:

[tex] \frac{1}{ {x}^{2} + 4x - 12} + \frac{3x}{4x - 8} [/tex]

We can factor the denominators to obtain:

[tex] \frac{1}{(x + 6)(x - 2) } + \frac{1}{4(x - 2)} [/tex]

The common denominator is least common multiples of the denominators.

The common denominator is of the given rational expression is

[tex]4(x + 6)(x - 2)[/tex]

Answer:

Step-by-step explanation:

Let s represent the length of the shortest side. Then the other two sides are ...

The perimeter is the sum of the lengths of the three sides, so is ...

  56 ft = s + (s+6) + (2s-6) = 4s . . . . collect terms

  14 ft = s . . . . . . . divide by the coefficient of s

The shortest side is 14 ft; the second side is 20 ft; the third side is 22 ft.

Final answer:

Using the given information about the sides of the triangular deck and its perimeter, we set up an equation to solve for the shortest side and then used that to find the lengths of the other two sides. The three sides of the triangular deck are 14 feet, 20 feet, and 22 feet.

Explanation:

To solve the problem, we need to set up an equation based on the given information. Let's define the shortest side of the triangle as x feet. According to the problem, the second side is x + 6 feet, and the third side is 2x - 6 feet. The perimeter of the triangle is the sum of the lengths of all three sides, which is given as 56 feet.

We can set up the following equation:

x + (x + 6) + (2x - 6) = 56

Combining like terms, we get:

4x = 56

Divide both sides by 4:

x = 14

Now we can find the lengths of the sides:

The shortest side: 14 feet

The second side: 14 + 6 = 20 feet

The third side: 2(14) - 6 = 22 feet

Answer:

slope = -0.5

Step-by-step explanation:

Answer:

slope = change in y / change in x

slope = 0 -3.5 / 7 -0

slope = -3.5 / 7

slope = -.5

Step-by-step explanation:

Answer:

5/2 kg

Step-by-step explanation:

The ratio here is 2:6.  2 plus 6 is 8.

Then (2/8) times 10 kg represents the amount of compost needed; that comes to 20/8 kg, or 10/4 kg, or 5/2 kg.

Gabriel should use 2.5 kilograms of compost to create a 10-kilogram mix that has a ratio of 2 parts compost to 6 parts potting soil.

Gabriel is making a mixture for a special plant which requires a ratio of 2 parts compost to 6 parts potting soil. He aims to make 10 kilograms of this mix in total. To calculate the amount of compost he should use, we first have to find the total number of parts in the mix:

Add the parts of compost to the parts of potting soil: 2 parts (compost) + 6 parts (soil) = 8 parts (total).

Determine the weight of each part: 10 kilograms (total mix) / 8 parts = 1.25 kilograms per part.

Multiply the weight of each part by the number of parts for compost: 1.25 kilograms per part × 2 parts (compost) = 2.5 kilograms of compost.

Therefore, Gabriel should use 2.5 kilograms of compost for his special plant mix.

Answer:

216

Step-by-step explanation:

Answer:

x⁷ + 9x⁴ - 9x³ - 81

Step-by-step explanation:

(f⋅g)(x) is just another way of writing f(x) ⋅ g(x).

f(x) ⋅ g(x)

(x⁴ - 9) (x³ + 9)

If you wish to simplify:

x⁷ + 9x⁴ - 9x³ - 81

Answer:

Step-by-step explanation:

No, you're not an idiot.  You are just misunderstanding pi.  Pi is an irrational number, meaning it goes on forever.  Literally, forever, with no end.  Some weird guy actually memorized the first 100,000 places of it or something crazy like that.  Anyway, if you use 3.14 you have rounded so incredibly, that you lose a lot of your precision.  Your calculator uses the first 9 places of the decimal or something like that.

It the second equation. I used subsitution to find that out.

The second one y = 1/2x + 3/4 is the correct answer. I first graphed the two points then started graphing the equations to find which line went through those two points.

-40*.15 + 150*(1-.15)= 121.50

Given the probabilities of sunny and rainy days and the respective profits, the Sudsy car wash's expected net profit per day, considering the rain probability, is $121.5.

The subject of the question is about Expected Value, a concept in Probability Theory. Considering the Sudsy car wash's situation, we know that it loses $40 on rainy days and gains $150 on sunny days. The probability of having a rainy day is given as 15%, which means the probability of having a sunny day is 85% (100% - 15%).

The expected value of the net profit can be calculated by the formula for Expected Value: E[X] = ∑[x*P(X=x)]. In the context of this problem, we can write out the expected value E[N] of the net profit N as E[N] = (-$40 * 0.15) + ($150 * 0.85) = -$6 + $127.5 = $121.5. So, it is expected that the Sudsy car wash will have a net profit of $121.5 per day, on average.

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ANSWER

[tex]15 {x}^{2} + 22x - 5[/tex]

EXPLANATION

It was given that, the length of the rectangular building is

[tex](3x + 5) \: meters[/tex]

and the width of the is

[tex](5x - 1) \: meters[/tex]

The area of a rectangular building is calculated using the formula for finding the area of a rectangle.

[tex]A = l \times w[/tex]

Since the dimensions are given in terms of x, the area is also a function of x,

[tex]A(x) = (3x +5 )(5x - 1)[/tex]

We expand to get,

[tex]A(x) = 3x(5x - 1) + 5(5x - 1)[/tex]

[tex]A(x) = 15 {x}^{2} - 3x + 25x - 5[/tex]

[tex]A(x) = 15 {x}^{2} + 22x - 5[/tex]

meters square

Answer:

D. 15x^2 + 22x -5

Step-by-step explanation:

I just took the test

Answer:

  27,409.308

Step-by-step explanation:

Compute the given sum. If you're really stuck, your calculator can help you.