Suppose you are the manager of Speedy Oil Change. You think your branch is very quick with oil
changes, but lately you have been getting some customer complaints that it takes too long to get an
oil change. You take a random sample of 36 customers and time how long (in minutes) the customer
must wait for their oil change. The results are in the table below.

Answer:

14.88 kilometers per liter.

Step-by-step explanation:

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Answer:

[tex]\displaystyle m = \frac{2}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify.

Point (-4, 1)

Point (2, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

the answer is 3,000

4% × 25 = 100%

$120 × 25 = $3000

Let a ∈ A. Then a is some integer that is divisible by 4, so we can write a = 4k for some integer k.

We can simultaneously rewrite a as a = 2•2k, so 2 clearly divides a, which means a ∈ B as well.

Therefore A ⊆ B.

Answer:The first goes to the first, the second to the third, the third to the fourth and the fourth to the second.

Step-by-step explanation:

Answer:

x=31.5

Step-by-step explanation:

Step-by-step explanation:

f(x) = -7x² - x

g(x) = 9x² - 4x

(f - g)(x) = (-7x² - x) - (9x² - 4x)

(f - g)(x) = (-7x² - 9x²) + (-x + 4x)

(f - g)(x) = -16x² + 3x

(f - g)(1) = -16(1)² + 3(1)

(f - g)(1) = -16.1 + 3

(f - g)(1) = -16 + 3

(f - g)(1) = -13

Answer:

$1,080.00

Step-by-step explanation:

$1,500 - 28% = $1,080.00

Answer:

24 kids in the classroom.

Step-by-step explanation:

Do not know sorry

........ M

Answer:

$33333.33

Step-by-step explanation:

Suppose x invested into the bank account that pays 4% simple Interest

5x4%x+5x6.4%(50000)= 12000 { The interest due is equal to interest}

4x+6.4x50000-6.4x=240000

2.4x=80000

x=33333.33

Answer:

4x−y=−3

Step-by-step explanation:

The standard form of a linear equation is Ax+By=C

Rewrite the equation with the sides flipped.

4x+3=y

Move all terms containing variables to the left side of the equation.

Subtract y from both sides of the equation.

4x+3−y=0

Move 3

4x−y+3=0

Subtract 3 from both sides of the equation.

4x−y=−3

Answer:

4x - y = -3

Step-by-step explanation:

Rearrange the equation.

y = 4x + 3

0 = 4x +3 - y

-3 = 4x - y

Answer:

D

Step-by-step explanation:

0.6x17.5 which is 10.5

9514 1404 393

Answer:

  y -1 = 5/6(x +8)

Step-by-step explanation:

The point-slope equation of a line is ...

  y -k = m(x -h) . . . . . line through point (h, k) with slope m

For point (-8, 1) and slope 5/6, the equation is ...

  y -1 = 5/6(x +8)

_____

Additional comment

If you want a line with slope -3/4 through the same point, change 5/6 to -3/4:

  y -1 = -3/4(x +8)

Answer:

750 paise

Step-by-step explanation:

just remove the decimal!

Step-by-step explanation:

[tex] = { (- 12)}^{ - 2} [/tex]

[tex] = \frac{1}{ {( - 12)}^{2} } [/tex]

[tex] = \frac{1}{ {12}^{2} } \: or \: \frac{1}{144} [/tex]

Answer:

Step-by-step explanation:

A relation is a function if every input has exactly one output. The domain and range of a relation that is not a function can have multiple outputs for a single input.

1. A relation is considered a function if every input has exactly one output. To determine if the relation on the right is a function, we can examine the x-values and see if any are repeated. If there are no repeated x-values, then it is a function. If there are repeated x-values, then it is not a function.

2. A relation that is not a function can have multiple outputs for a single input. The domain of a relation refers to the set of all possible input values, while the range refers to the set of all possible output values. Without the relation provided, it is not possible to state the specific domain and range.

Learn more about the topic of Functions here:

https://brainly.com/question/21145944

#SPJ3

Answer:

9 Km a su casa

Step-by-step explanation:

0j

Answer:

D. [tex]-2a^2+2a+4[/tex]

Step-by-step explanation:

[tex]d_1=a^2+2a+3\\d_2=2a^2+a+1\\[/tex]

First, substitute both of these equations into [tex]2(d_1-d_2)[/tex]

[tex]2((a^2+2a+3)-(2a^2+a+1))[/tex]

Now, you just simplify. I don't have much to say about it, but here's the steps:

[tex]2(a^2+2a+3-2a^2-a-1)\\2(a^2-2a^2+2a-a+3-1)\\2(-a^2+a+2)\\-2a^2+2a+4[/tex]

Your answer is D. [tex]-2a^2+2a+4[/tex]

Answer:

x > 6

Step-by-step explanation:

The first thing you need to know is that when you solve inequalities, imagine the greater than or less than sign as an equal sign as you solve. Use the same rules as you would use in algebra: do the same thing to one side to the other side. Now the equation is writen as 4 + 3x > 22. The first step is to subtract 4 to take it from that side of the equation and isolate the x. Remember that if you divide or multiply by a negative number, you must flip the inequality sign. Now you subract 4 from both sides as we were saying, the equation is now 3x > 18. The last step is to divide 3 from both sides to isolate the variable. The 3 next to the x represents multiplication. The final answer is x > 6

Hope this helped :)

By applying the exponential and logarithmic functions, we have

[tex]x^{\sin(x)} = \exp \left(\ln \left(x^{\sin(x)}\right)\right)[/tex]

Then in the limit,

[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \lim_{x\to0} \exp \left(\ln \left(x^{\sin(x)}\right)\right)[/tex]

[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \exp \left( \lim_{x\to0} \ln \left(x^{\sin(x)}\right)\right)[/tex]

[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \exp \left( \lim_{x\to0} \sin(x) \ln(x) \right)[/tex]

[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \exp \left( \lim_{x\to0} \frac{\ln(x)}{\csc(x)} \right)[/tex]

As x approaches 0 (from the right), both ln(x) and csc(x) approach infinity (ignoring sign). Applying L'Hopitâl's rule gives

[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \exp \left( \lim_{x\to0} \frac{\frac1x}{-\csc(x)\cot(x)} \right) = \exp \left( -\lim_{x\to0} \frac{\sin^2(x)}{x\cos(x)} \right)[/tex]

Recall that

[tex]\displaystyle \lim_{x\to0} \frac{\sin(x)}{x} = 1[/tex]

Then

[tex]\displaystyle \lim_{x\to0} \frac{\sin^2(x)}{x\cos(x)} = \lim_{x\to0} \frac{\sin(x)}{\cos(x)} = \lim_{x\to0} \tan(x) = 0[/tex]

So, our limit is

[tex]\displaystyle \lim_{x\to0} x^{\sin(x)} = \exp(0) = \boxed{1}[/tex]

Answer:

see below

Step-by-step explanation:

As sin(t) = -3 / 5 and in quadrant 4

so cos is positive

a) sin^2(t) + cos^2(t) = 1

(-3/5)^2 + cos^2(t) = 1

cos^2(t) = 1 - (9/25)

cos^2(t) = (25 - 9) / 25 = 16/25

cos(t) = +4/5

b) sin(2t) = 2 sin(t)cos(t)

= 2 * (-3/5) * (4/5)

= -24/25

c) cos(2t) = cos^(t) - sin^2(t)

= (4/5)^2 - (-3/5)^2

= 16/25 - 9 / 25

= 7 / 25

d) tan(2t) = sin(2t) / cos(2t)

= (-24/25) / (7/25)

= -24/7

e) as sin(2t) is negative and cos(2t) is positive

2t is in Quadrant 4

I am not sure for below three

f) cos(t) = cos^2(1/2 t) - sin^2(1/2 t) = 4/5

  cos^2(1/2 t) + sin^2(1/2 t) = 1

by adding and solving

1 + 4/5 = 2 * cos^2(1/2 t)

9/10 = cos^2(1/2 t)

cos(1/2 t) = +- 3/[tex]\sqrt{10}[/tex]

and sin(t) = 2 * sin(1/2 t) * cos(1/2 t) = -3/5

2 * sin(1/2 t) * 3/sqrt{10} = -3/5

sin(1/2 t) = +- 1/sqrt{10}

means here sin and cos for 1/2 t should be opposite signs

so it is either 2nd or 4th quadrant

g) sin( 1/2 t) = +-1/sqrt{10}

h) cos(1/2 t) = +- 3/sqrt{10}

Answer:

12 long sleeved

Step-by-step explanation:

30 / 5 = 6

6 x 2 = 12

Answer:

12

Step-by-step explanation:

The 5 part of the ratio relates to 30 short- sleeved shirts.

Divide by 5 to find the value of 1 part of the ratio

30 ÷ 5 = 6 ← value of 1 part , then

2 parts = 2 × 6 = 12 ← long- sleeved shirts

Answer:

3

Step-by-step explanation:

Answer:

2.41

Step-by-step explanation:

-2.08-(4.49)=

-2.08+4.49=2.41

Answer:

2.41

Step-by-step explanation:

The answer is 2.14 because the numbers in the problem are both negative making the solution/ answer positive 2.41! :D

Answer:

DX wonder if if you want to come over and watch the way to the way to the way to the way to the way to the way to work I you you you can send me the way to the way to the way to the way to the way to the way home now I will be more than enough for me for all of us her

Answer:

Correct answer is D 146°

Step-by-step explanation:

x= 90° +56° ( Exterior angle of a triangle is equal to the two opposite interior angles)

x= 146°

-7.21 < - 7.18 < -7.09 < 6.99 < 7.15

Step-by-step explanation:

-7.21

-7.18

-7.09

6.99

7.15