Total score:
of 15 points
(Score for Question 1: of 5 points)
1. Graph the function f(x) = sin(x)-2.
Answer:

Answer:

36x^6/y^10

Step-by-step explanation:

First evaluate the parentheses, 6x^3 x 6x^3 = 36x^6

y^5 x y^5 = y^10 ; remember m^k x m^r = m^k+r

final answer should be 36x^6/y^10

hope this helps :')

Answer:

[tex] \dfrac{36x^6}{y^{10}} [/tex]

Step-by-step explanation:

First, deal with the exponent 2 outside the parentheses.

Raise each factor to the second power.

[tex] (\dfrac{6x^3}{y^5})^2 = [/tex]

[tex] = \dfrac{6^2(x^3)^2}{(y^5)^2} [/tex]

To raise a power to a power, multiply the powers.

[tex] = \dfrac{36x^6}{y^{10}} [/tex]

Answer:

x = 17/12

Step-by-step explanation:

12x = 4 x 2 +9

12x = 8 +9

12x = 17

x = 17/12 After divided

There is a probability of 77% that the mean of this sample is between 19.25 hours and 21.0 hours

Z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation,n=sample\ size[/tex]

Given that μ = 20, σ = 7, n = 125.

For x = 19.25:

[tex]z=\frac{19.25-20}{7/\sqrt{125} } =-1.20\\\\\\For\ x=21:\\\\z=\frac{21-20}{7/\sqrt{125} } =0.62[/tex]

From the normal distribution table, P(-1.20 < z < 0.62) = P(z < 0.62) - P(z < -1.2) = 0.8849 - 0.1151 = 0.7698 = 77%

There is a probability of 77% that the mean of this sample is between 19.25 hours and 21.0 hours

Find out more on z score at: https://brainly.com/question/25638875

Answer:

40.083

Step-by-step explanation:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Answer:

Step-by-step explanation:

The answer is d.

The black graph corresponds to the function y = f(x). The function represented in the red graph is y/2 = f(x). Therefore, option d is correct.

A graph representing a function is a visual representation of the relationship between the input values (often called the "domain") and the output values (often called the "range") of the function.

For example, if we have a function f(x) = x^2, we can create a graph by choosing some input values for x (e.g. -3, -2, -1, 0, 1, 2, 3), computing the corresponding output values using the function (e.g. 9, 4, 1, 0, 1, 4, 9), and plotting the points (x,y) = (-3,9), (-2,4), (-1,1), (0,0), (1,1), (2,4), (3,9) on the graph.

Here, the black graph corresponds to the function:

y = f (x).

In the red graph, the y values are increased to two fold but the x-values are the same.

then,

relation between new y values and older function f(x) is :

y/2 = f (x).

Therefore, option D is correct.

Find more on graphs:

https://brainly.com/question/10712002

#SPJ7

Answer:

18 + s = 33 (drag to 15)

27 = 9 × s (drag to 3)

40 - s = 23 (drag to 17)

5 × s = 35 (drag to 7)

18/s = 3 (drag to 6)

m/5 = 10 (drag to 50)

m + 14 = 18 - m (drag to 2)

m + m + 12 = 22 (drag to 5)

n + 7 = 18 (drag to 11)

n-9 = 22 (drag to 31)

Step-by-step explanation:

please mark me as brainlest

Answer:

[tex]a=\frac{7}{3}[/tex]

Step-by-step explanation:

[tex]\frac{a-1}{a-3}=\frac{a+1}{a-4}[/tex]

[tex](a-1)(a-4)=(a-3)(a+1)[/tex]

[tex]a^2-5a+4=a^2-2a-3[/tex]

[tex]-5a+4=-2a-3[/tex]

[tex]-3a+4=-3[/tex]

[tex]-3a=-7[/tex]

[tex]a=\frac{7}{3}[/tex]

Answer:

20

Step-by-step explanation:

t=1

u=2

t+8+u+8+1=1+8+2+8+1=20

Step-by-step explanation:

75-7=68 +(12)+1 exponent 3 meaning one multiplying itself three times so

68+12+1×1×1

80+1×1

80+1

=81

Answer:

we have only two or three acute angles in a triangle. so ima say at least 1

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

it is -2

Step-by-step explanation:

i got it right

5 pounds - 1.89

3 pounds - 1.99

1 pound - 2.05

In this case, the 5 pounds of chicken is the cheapest by exactly one dime.

Answer:

13/15

Step-by-step explanation:

i took the test :)

Answer:

im pretty sure its the routing number

Step-by-step explanation:

trust me

Answer:

dependent quantity.

Step-by-step explanation:

Answer:

The first number is 24.08 and the second number is 34.17

Answer:

67.33.

Step-by-step explanation:

To figure out the tip, you need to find 20% of $52.60.

0.2×52.6=10.52

You should leave $10.52 for the waiter if you want to leave him exactly 20%.

To figure the tax, you need to find 8% of $52.60.

0.08×52.6=4.208

Next, add them up:

52.6+10.52+4.208=67.328

The total bill, including tax and tip, will be $67.33.

[tex]m\% \: \: of \: \: p\% \: \: of \: \: n \\ = \frac{m}{100} \times \frac{p}{100} \times n \\ = \frac{m \times p \times n}{100 \times 100} \\ = \frac{mnp}{10000} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

a) 32km

b) 40 miles

Step-by-step explanation:

Answer:

1260°

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon of n sides is

(n - 2)180°

This polygon has 9 sides, so n = 9

sum = (9 - 2)180°

sum = 7(180°)

sum = 1260°

Answer:

2

Step-by-step explanation:

Answer:

57

Step-by-step explanation:

Together both angles equal 90

(3x - 15) + (5x -23) = 90

Combine like terms

8x - 38 = 90

Add 38 to both sides

8x = 128

Divide by 8

x = 16

You can check by replacing x with 16 and seeing if it still equals 90.

To find angle MON... replace x with 16

5(16) - 23

Angle MON = 57

I hope this helps!!

Answer:

Step-by-step explanation:

The slope- intercept form is:

We have:

The line is:

It would be 100,000. If it were anything above 150,000, then it would round up to 200,000.

Hope this helps ^^

Answer:

"To round a number to the nearest 100,000, check the ten thousands digit to decide whether to round up or round down. If the ten thousands are 50,000 or more, round up. If they are 49,999 or less, round down. 450,000 to the nearest 100,000 is 500,000."

CONTENT NOT FROM MY WORD!!!

Answer:

256, -1024, 4096, -16384

i think that's it

it's being multiplied by -4 (geometric)

Answer:

9 is the answer.

Step-by-step explanation:

Given:

=> 3-6h

=> 3 - 6(-1)

=> 3 + 6

=> 9

Therefore, 9 is the answer.

Hoped this helped.

Answer:

Option C.

Domain:

{3, 0, 2, 4}

Step-by-step explanation:

The domain is the set of all the values of x.

Answer:

C is the answer!:)

Step-by-step explanation:

Domain is all numbers on the left and range is on the right