Evaluate the expression (-9)^4

Answer:

(g ⚬ f)(x)

Step-by-step explanation:

(g ⚬ f)(x)

Answer:

C. 2b^3 + b^2 - 2b - 380

Step-by-step explanation:

Factory A: 2b^3 - 3b^2 + b - 120

Factory B: 4b^2 - 3b - 260

Add the polynomials:

2b^3 - 3b^2 + b - 120 + 4b^2 - 3b - 260 =

Be careful to combine like terms.

= 2b^3 - 3b^2 + 4b^2 + b - 3b - 120 - 260

= 2b^3 + b^2 - 2b - 380

Answer: C. 2b^3 + b^2 - 2b - 380

Answer:

positive slope relationship.

Step-by-step explanation:

When two variables move in the same direction, they are positively related. An increase in one variable would lead to an increase in the other variable.

For example, price and quantity supplied are positively correlated. An increase in price, leads to an increase in quantity supplied and a decrease in price leads to a decrease in quantity supplied.

Please check the attached image for a positively correlated curve

Answer: If your doing the ratio of boys to girls, it would be 6:14. Simplified- 3:7

Step-by-step explanation:

The factors of 6-1,2,3,6

The factors of 14-1,2,12,14

The common factor of the two #’s is 2 so you would divide both of them by that number. 3 and 7 are prime numbers so you can’t simplify the ratio anymore.

Answer:

31.411

Step-by-step explanation:

6.1+4.55+1.09+15.9+3.771= 31.411

1 pound = 16 ounces

you should make both with the same unit measurement. Let's convert them to ounces.

4 pounds= 4x16 ounces=64 ounces

ratio 10 ounces to 4 pounds= 10 ounces : 64 ounces

= 5 ounces : 32 ounces= 5 : 32

Answer:

Step-by-step explanation:

scatterplot relating to the question is attached below.

Answer: Negative ; Strong

Step-by-step explanation:

From the picture of the scatter plot Given, it could be observed that the trend of the scatter points exhibits a negative gradient as the points on the graph slopes downward depicting that an inverse relationship exists between the two variables. With weight decreasing as miles per gallon increases. The relationship between the two variables depicted by the scatter plot is strong as the slope of the point is looks moderately steep.

Answer:

x=2

Step-by-step explanation:

4x−7(2−x)=3x+2

4x+(−7)(2)+(−7)(−x)=3x+2(Distribute)

4x+−14+7x=3x+2

(4x+7x)+(−14)=3x+2(Combine Like Terms)

11x+−14=3x+2

11x−14=3x+2

Step 2: Subtract 3x from both sides.

11x−14−3x=3x+2−3x

8x−14=2

Step 3: Add 14 to both sides.

8x−14+14=2+14

8x=16

Step 4: Divide both sides by 8.

x=2

Answer: undefined; vertical line

Step-by-step explanation:

To find the slope, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{1-(-7)}{6-6} =\frac{8}{0}[/tex]

The slope is undefined because you cannot divide anything by 0.

The graph of the line is a vertical line at x=6. We know this because the points are both at x=6, with different y-values.

Answer:

5 days

Step-by-step explanation:

Multiply 8 hours by 5 people to get a total of an equivalent of 40 hours of work per day. 200/40 is equal to 5, so it would take them 5 days

Answer:

It will take them five days.

Step-by-step explanation:

So what I did was I multiplied 5 and 8 because there were 5 people and I'm taking it that each person worked 8 hours a day. So after multiplying that, I got 40. I then divided 40 by 200 and I got 5.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{128°}}}}}[/tex]

Step-by-step explanation:

Sum of angles of triangle add up to 180°

Let the third angle be x

Create an equation and solve for x

[tex] \sf{x + 12° + 40° = 180°}[/tex]

[tex] \dashrightarrow{ \sf{x + 52° = 180°}}[/tex]

[tex] \dashrightarrow{ \sf{x = 180° - 52°}}[/tex]

[tex] \dashrightarrow{ \boxed{\sf{x = 128°}}}[/tex]

Hope I helped!

Best regards! :D

Answer:

i think its rational.  

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

90/3=30

Answer:

y=3

y=1

y=0

Step-by-step explanation:

[tex]y=-\frac{1}{2}x+ \frac{5}{2} \\\\y=\frac{5-x}{2} \\\\x=-1\\\\y=\frac{5-(-1)}{2}\\\\y=\frac{5+1}{2}\\\\y=\frac{6}{2}\\\\y=3\\\\x=3\\\\y=\frac{5-3}{2}\\\\y=\frac{2}{2}\\\\y=1\\\\y=\frac{5-5}{2}\\\\y=\frac{0}{2}\\\\y=0[/tex]

Answer:

y=3

y=1

y=0

Step-by-step explanation:

For this problem, we are given the x-value. TO find the y-value, you plug in x and solve.

x=-1

[tex]y=-\frac{1}{2}(-1)+\frac{5}{2}[/tex]              [multiply]

[tex]y=\frac{1}{2}+\frac{5}{2}[/tex]                        [add]

[tex]y=\frac{6}{2}[/tex]                               [divide]

[tex]y=3[/tex]

---------------------------------------------------------------------------------------------------------------

x=3

[tex]y=-\frac{1}{2}(3)+\frac{5}{2}[/tex]                [multiply]

[tex]y=-\frac{3}{2}+\frac{5}{2}[/tex]                    [add]

[tex]y=\frac{2}{2}[/tex]                              [divide]

[tex]y=1[/tex]

---------------------------------------------------------------------------------------------------------------

x=5

[tex]y=-\frac{1}{2}(5)+\frac{5}{2}[/tex]               [multiply]

[tex]y=-\frac{5}{2}+\frac{5}{2}[/tex]                   [add]

[tex]y=0[/tex]

Hey! Not to good at explaining this, but the correct answer is 3/5 hours, or 36 minutes.

Answer:

3/5

Step-by-step explanation:

just did it and my school said i got it right

Answer:

a) If Chloe is not happy at 6pm,  the probability that she has not had dinner yet =P(B/D)= 0.8

b) If Chloe is happy at 6pm,the probability that she has already had dinner= P(A/C) = 0.9

Step-by-step explanation:

Let A be an event that Chloe is happy given that she has had dinner by 6pm

P(A) =  0.9

Let B be an event that  Chloe is not happy given that she has not had dinner by 6pm

P(B) = 0.8.

Let C be an event that Chloe eats dinner by 6pm on a given day

P(C) = 60%=0.6

Let D be an event that Chloe does not eat dinner by 6pm on a given day

P(D) = 1- 60%=1- 0.6= 0.4

This requires conditional probability .

Part a

P(B/D)=P(B∩D)/P(D)

P(B∩D) = 0.8 *0.4=0.32

P(D) = 0.4

P(B/D)=P(B∩D)/P(D)

         = 0.32/0.4= 0.8

P(B)= P(B/D)

0.8 is equal to 0.8

This shows that the  events are independent.

b)

P(A/C)= P(A∩C)/ P (C) = 0.9*0.6/0.6= 0.9

Which is again equal to probability of event A showing that the events are independent.

Answer:

[tex] P = 2*7 + 2*5 [/tex]

[tex] P = 14 + 10 [/tex]

[tex] P = 24 inches [/tex]

Step-by-step explanation:

Lenght (l) of rectangle = 7 inches

Width (w) of rectangle = 5 inches

Perimeter (P) of rectangle is given as [tex] P = 2l + 2w [/tex]

Plug in the values of l and w into the formula:

[tex] P = 2*7 + 2*5 [/tex]

Multiply each

[tex] P = 14 + 10 [/tex]

Add together

[tex] P = 24 inches [/tex]

Answer:

x = -1

Step-by-step explanation:

7^(3x+7) = 7^(-8x-4)

First Step: Cancel out like bases.

3x + 7 = -8x - 4

Second Step: Add 8x on both sides.

11x + 7 = -4

Third Step: Subtract 7 on both sides.

11x = -11

Fourth Step: Divide by 11 on both sides.

x = -1

Answer:

y = 4 - 4x

Step-by-step explanation:

Step 1: Write equation

12x + 3y = 12

Step 2: Subtract 12x on both sides

3y = 12 - 12x

Step 3: Divide both sides by 3

y = 4 - 4x

Answer:

12x + 3y = 12

3y=12-12x

y=(12-12x)/3=3(4-4x)/3=4-4x

B) 13

Step-by-step explanation:

Set up the question by doing 2x + 10 + 4x + 1 = 29 since both of these sections equal KN or 29. Simplify it to 6x + 11 = 29. Subtract 11 from both sides so 6x = 18. Divided both sides by 6 so x =3. CN’s equation is 4x + 1. Plug 3 in for x to be 4(3) + 1 which is 13. Hope this helped!

Answer:

13

Step-by-step explanation:

If 29 is KN, that would mean that both expressions, since they make up KN, add up to 29.

So, you end up combining like terms and getting this:

6x+11=29

Subtract 11 from both sides

6x=18

Divide both sides by 6

x=3

and now to find out CN, simply plug 3 in for x:

4(3)+1

12+1

CN=13

Hey there! I'm happy to help!

If we have g(-3) we plug -3 into our function as x.

-3-2(-3)²

-3-2(9)

-3-18

-21

g(-3) is -21, so now we just add 13.

-21+13=-8

The answer is -8.

Have a wonderful day! :D

Answer:

√7 is less than 14/5

Step-by-step explanation:

√7 equals about 2.6

14/5 equals 2.8

Answer:

Data Set B

Step-by-step explanation:

Mean Absolute Deviation(MAD) can be defined as the distance between one data point (value) to the Mean in a give Data set

It can also be defined as the deviation of the mean from the data points or values given in a data set.

From the above question, we are told that:

The mean of data set A ls 43.5 and the MAD is 3.7.

The mean of data set B is 12.8 and the MAD is 4.1.

Comparing the two Data set, the Mean Absolute Deviation of Data set A is smaller than that of Data set B.

Hence, Data set B shows a greater degree of variability because the distance between a data point(value) and the mean is 4.1. This also means that the data points in Set B are more spread out compared to the data points in Set A.

Answer:

b

Step-by-step explanation:

Answer:

I think that the answer would be question 3

Step-by-step explanation:

I think i remember doing this question

Answer:

5

Step-by-step explanation:

[tex]y = 5x - 5 \\ equating \: it \: with \\ y = mx + b \\ slope \: (m) = 5[/tex]

Parallel lines have same slope.

So, slope of required line = 5

Answer:

I'm not sure if I'm right but you should try X = the x value of the vertex.

Answer:

Hope you understand not to sure but that's what I got