Show all work. 5. Find the surface area of the composite figure.​

Given:

The arithmetic sequence is:

10, 12, 14, 16, ...

To find:

The function that generates the given sequence if n is an integer.

Solution:

We have,

10, 12, 14, 16, ...

Here, the first term is 10 and the common difference is:

[tex]d=a_2-a_1[/tex]

[tex]d=12-10[/tex]

[tex]d=2[/tex]

The nth term of an arithmetic sequence is:

[tex]a_n=a+(n-1)d[/tex]

Where, a is the first term, d is the common difference and [tex]n\geq 1[/tex].

Putting [tex]a=10,d=2[/tex] in the above formula, we get

[tex]a_n=10+(n-1)2[/tex]

[tex]a_n=10+2n-2[/tex]

[tex]a_n=8+2n[/tex]

Therefore, the function [tex]a_n=8+2n, n\geq 1[/tex] generates the sequence.

Answer:

2:40 p.m.

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

21 Oreos

Step-by-step explanation:

2 × 3 = 6

7 × 3 = 21

hope this helps

Answer:

can you please give more info

Step-by-step explanation:

Agree: when Asher looks at the data, he says that both Mrs. Jamisos class and Mr. Zimmermann's class has data that is skewed right.

It is defined as the numerical data representation in the graph with the help of a bar without space. The histogram gives an idea about the data's approximate distribution.

We know on the left side skewed histogram has more data on the right and on the left side, there are fewer data. It is also called a negatively skewed histogram.

On the right side skewed histogram, there is fewer data on the right side and more data on the left side. It is also called a positive histogram.

As we can see in the histogram of Mrs. Jamisos class and Mr. Zimmermann's class, there is fewer data on the right side, hence it is right side skewed.

Thus, agree: when Asher looks at the data, he says that both Mrs. Jamisos class and Mr. Zimmermann's class has data that is skewed right.

Learn more about the histogram here:

brainly.com/question/16819077

#SPJ2

Answer:

10 times 10 ^12

Step-by-step explanation:

this is what I got but I'm not sure if it is correct

Answer:

1) x = 12

2) x = 23.1

3) x = 19

4) x = 16

5) x = 8

6) x = 17

Step-by-step explanation:

Comparing the sides of each triangle, we have;

1) [tex]\frac{32}{32 + x}[/tex] = [tex]\frac{24}{33}[/tex]

Cross multiply to get,

(32 + x) * 24 = 32 * 33

768 + 24x =1056

24x = 1056 - 768

24x = 288

x = 12

2) [tex]\frac{14}{34}[/tex] = [tex]\frac{x}{33 + x}[/tex]

cross multiply to have;

34x = 14 (33 + x)

34x = 462 + 14x

20x = 462

x = 23.1

3) [tex]\frac{20}{36}[/tex] = [tex]\frac{30}{x + 35}[/tex]

cross multiply to have;

36 * 30 = 20(x + 35)

1080 = 20x + 700

1080 - 700 = 20x

380 = 20x

x = 19

4) [tex]\frac{22.5}{42.5}[/tex] = [tex]\frac{2x - 5}{3x + 3}[/tex]

cross multiply to have;

42.5(2x - 5) = 22.5(3x + 3)

85x - 212.5 = 67.5x + 67.5

collect like terms

85x - 67.5x = 67.5 + 212.5

17.5x = 280

x = 16

5) [tex]\frac{2x + 4}{2x + 8}[/tex] = [tex]\frac{x + 7}{x + 10}[/tex]

cross multiply to have;

(2x + 8)(x + 7) = (2x + 4)(x + 10)

2[tex]x^{2}[/tex] + 14x + 8x + 56 = 2[tex]x^{2}[/tex] + 20x + 4x + 40

2[tex]x^{2}[/tex] + 22x + 56 = 2[tex]x^{2}[/tex] + 24x + 40

collect like terms to have;

22x - 24x = 40 - 56

-2x = -16

x = 8

6) [tex]\frac{28}{82}[/tex] = [tex]\frac{2x + 8}{7x + 4}[/tex]

cross multiply to have;

82(2x + 8) = 28(7x + 4)

164x + 656 = 196x + 112

164x - 196x = 112 - 656

-32x = -544

x = 17

The value of x in all the options can be determined by using the arithmetic operations. The calculations are given below.

1)

Given :

Two side lengths of a triangle are (x + 32) and 33.

According to the similar triangles property:

[tex]\dfrac{32+x}{32}=\dfrac{33}{24}[/tex]

SImplify the above expression in order to determine the value of 'x'.

768 + 24x = 1056

24x = 288

x = 12

2)

Given :

Two side lengths of a triangle are 34 and (x + 33).

According to the similar triangles property:

[tex]\dfrac{14}{34}=\dfrac{x}{33+x}[/tex]

SImplify the above expression in order to determine the value of 'x'.

34x = 462 + 14x

20x = 462

x = 23.1

3)

Given :

Two side lengths of a triangle are 36 and (x + 35).

According to the similar triangles property:

[tex]\dfrac{20}{36}=\dfrac{30}{35+x}[/tex]

SImplify the above expression in order to determine the value of 'x'.

1080 = 20x + 700

20x = 380

x = 19

4)

Given :

Two side lengths of a triangle are (3x + 3) and 42.5.

According to the similar triangles property:

[tex]\dfrac{22.5}{42.5}=\dfrac{2x-5}{3x+3}[/tex]

SImplify the above expression in order to determine the value of 'x'.

85x - 212.5 = 67.5x + 67.5

17.5x = 280

x = 16

5)

Given :

Two side lengths of a triangle are (2x + 8) and (x + 10).

According to the similar triangles property:

[tex]\dfrac{2x + 4}{2x+8}=\dfrac{x+7}{x+10}[/tex]

SImplify the above expression in order to determine the value of 'x'.

(2x + 8)(x + 7) = (2x + 4)(x + 10)

[tex]2x^2+22x+56=2x^2+24x+40[/tex]

16 = 2x

x = 8

6)

Given :

Two side lengths of a triangle are 82 and (7x + 4).

According to the similar triangles property:

[tex]\dfrac{28}{82}=\dfrac{2x+8}{7x+4}[/tex]

SImplify the above expression in order to determine the value of 'x'.

28(7x + 4) = (2x + 8)82

32x = 544

x = 17

For more information, refer to the link given below:

https://brainly.com/question/25277954

Answer:

[tex]y=-\frac{3}{4} x+3[/tex]

Step-by-step explanation:

Slope-intercept form: [tex]y=mx+c[/tex]. where m is the slope of the line and c is where the line meets the y-axis.

From the graph:

[tex]c=3[/tex], we can clearly see that the line crosses the y-axis at (0,3)

Let's get two points from the graph to find m.

Point 1: (0,3)

Point 2: (4,0)

[tex]m = \frac{dy}{dx}[/tex], where dy is the difference in y and dx is the difference in x.

Therefore, we can put our points into that equation.

[tex]\frac{3-0}{0-4} = -\frac{3}{4}[/tex]

So, now we have m and c, we can rewrite the equation [tex]y=mx+c[/tex] with our values.

This gives us: [tex]y=-\frac{3}{4} x+3[/tex]

182=288 so 74 76 78 80 82 ×2 == 76 78 80 82 84 ans the range is 2920

Answer:not sure what u talking about

Step-by-step explanation:

Answer:

Since the ratios are constant, the sequence is geometric. The common ratio is –1. Since the ratios are constant, the sequence is geometric.

Step-by-step explanation:

Question 3 :

We have ,

Multiplying all three equations ,

=> a × b × c = bc * ac * ab

=> abc = a²b²c²

=> abc/a²b²c² = 1

=> 1/abc = 1

=> abc = 1

[tex]\rule{200}2[/tex]

Answer:

94.8

Step-by-step explanation:

Aera is : length *width

75.2 = 0.8 * x then x =94

Perimeter is : length + width =94 +0.8

Answer:

24

Step-by-step explanation:

6 / 1 / 4 =

6 x 4 =

24

Answer:

6 divided by 1/4 is 24

Step-by-step explanation:

First you have to change "-2x+6y-9=0" into slope intercept form (y=mx+b).

Add the -9 to 0, to get (-2x+6y=9).

Now add -2x to the 9, to get (6y= -2x+9). Since -2x and 9 aren't like terms.

Divide 6 on both sides to get (y=-2/6x+9).

Plot this on a graph as shown above. (16.5, 3.5)

Answer is: D) 3.35, since it's closer.

If my math is off please let me know.

Answer:

A.  (x · 60) + (x · 5)

Step-by-step explanation:

Answer:

A. (x · 60) + (x ·5)

Step-by-step explanation:

Equation A is simplified to 65x, which is equivalent to x ·65.

Equation B is simplified to 11x.

Equation C is simplified to x + 30.

Equation D is simplified to 6x+5.

Answer:

None it is 10880 cell phones sold

Step-by-step explanation:

You calculate the all the percentages of 4000 to get to the answer like this ......

4,000 of 22%

=22×4,000

100

4000+880

4880

4,000 of 50%

50×4000

100

2000

4000+2000

6000

4880+6000

=10880

Answer: D

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

Find the two middle numbers, add them together and divide them by two if it is an even number. For odd numbers, your median will be the middle number.

Answer:

5 x 4 x 3 = 60

Step-by-step explanation:

Do - H x L x W

H is 5

L is 4

W is 3

Answer:

(x – 3)^2+ (y +2)^2 = 36

Step-by-step explanation:

Given data

The formula for the equation of a circle is (x – h)2+ (y – k)2 = r^2,

where (h, k) represents the coordinates of the center of the circle

h=3

k=-2

r= 6

Substitute

(x – 3)^2+ (y – (-2))^2 = 6^2

(x – 3)^2+ (y +2)^2 = 36

Hence the expression for the equation of the circle is

(x – 3)^2+ (y +2)^2 = 36

Answer:

37) ±√29 - 4

Completing the square utilizes this formula [tex](\frac{b}{2})^{2}[/tex]. We know that b=8, 8 can be plugged into this formula to get [tex](\frac{8}{2})^2[/tex]. Simplify to get 16. Now, we can add this into the equation to get [tex]k^{2}+8k+13=26[/tex]. Subtract 26 to both sides, so the equation can equal to 0. [tex]k^{2} +8k-13=0[/tex] would be the resulting equation. Now, let's use quadratic formula to find the solution. The quadratic formula is (-b+-√b^2-4ac) / 2a. Plug in all of our values to get (-8+-√8^2-4(1)(-13)/2(1). Simplify the equation to get ±√29 - 4.

38) ±√21 - 2

Let's use the same formula. b=4, so [tex](\frac{4}{2} )^2[/tex]. Simplify to get 4. Add that into the equation to get [tex]x^{2}+4x-5=12[/tex]. Subtract 8 on both sides, so the equation can equal to 0. [tex]x^{2}+4x-17=0[/tex] would be the result. Use the quadratic formula again to find the solution. Plug in all of the values to get ±√21 - 2

If you're confused on any part of the explanation, feel free to ask :)

Answer:

D

Step-by-step explanation:

Answer:

D. 6y/x²

Step-by-step explanation:

6×y= 6y

x squared =x²

Answer:

Step-by-step explanation:

Solution:

Given dimensions of the rectangular sheet

Length = 28 cm

Breadth =22 cm

If the sheet is rolled to form a cylinder then the length becomes height and breadth becomes circumference of the base of a cylinder.

So Height of the cylinder (h)= 28 cm

Circumference of the base of a cylinder

Answer:

#25 x=80

#26 x=100

#27 x=75

#28 x=90

Step-by-step explanation:

Answer:

504

6x84= 504

The picture is too big so you're not going to get the full explanation ok

Answer:

A=6

Step-by-step explanation:

A can only be a number 1-9 so try every number.

661,176/12 = 55098

Hope this helped! :)

Answer:

I would say its 0,2,4,6,....

Answer:

0,2,4,6....

Step-by-step explanation:

Since only they have the common difference between them, they are in the arithmetic sequence

Hope it helps you

Please mark as the brainliest

Thank You

Answer:

.6

Step-by-step explanation:

-2.1-.6=-1.5 / -1 1/2