Find the sum of the arithmetic sequence.

-10, -7, -4, -1, 2, 5, 8

Answers

Answer 1
Answer:

Answer:

+3 every time or the total?

Or is it 18? U specify which


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1- Find the surface area and volume of each solid figure.2-Show the equations you used.




PLEASE HELP!!!!!!! 20 points

Answers

Answer:

Volume

Figure 1 = 56 cube units

figure 2 = 60 cube units

figure 3 =72 cube units

Surface area

Figure 1 = 100 square units

figure 2 = 104 square units

figure 3 =108 square units

Step-by-step explanation:

From the all figure we can see that each figure made up of unit cubes

Figure 1

Surface area

Large cuboid portion =2 x (6 x 2 ) +  (6 x 4) + 2 x(4 x 2) + 16

  = 24 + 24 + 16 + 16 = 80 unit square

Small cuboid portion = (4 x 2) + (2 x 2) + (4 x 2) = 8 + 4 + 8 = 20

Total surface area = 80 + 20 = 100 unit square

Volume

Small cuboid = 4 x 2 = 8

Large cuboid = 6 x 4 x 2 = 48 cube unit

Total volume = 48 + 8 = 56 cubs units

Figure 2

Surface area

Total surface area =24 + 18 + 36 + 20 + 6 = 104 unit square

Volume

Small cuboid = 6 x 2 = 12

Large cuboid = 6 x 4 x 2 = 48 unit square

Total volume = 48 + 12 = 60 cube units

Figure 3

Surface area

Total surface area = 48 + 36 + 24 = 108 square units

Volume

Total volume = 6 x 4 x 3 = 72 cube units

Suppose you invest $1500 in equipment to put pictures on t-shirts. You buy each t-shirt for $3. After you have placed the picture on a shirt, you sell it for $20. How many t-shirts must you sell to break even?

Answers

The Answer that I got:

75 T-Shirts

The ratio of girls to boys in Liza’s classroom is 5 to 4How many girls are in her classroom if there is a total of 27
students?

1. 12
2. 9
3. 54
4. 15

Answers

The answer is 15. There are more girls than boys. 27 divided by 2 is 13.5. As the ratio is 5:4 the number of girls must be higher than 13.5, which cancels out 12 and 9. 54 is too great so the answer is 15. 

Answer:

2.9

Step-by-step explanation:

A rollercoaster ride reaches a height of 80 feet before it sharply drops. The height above the ground of the rollercoaster car during the drop is modeled by the function, h(t)=10t2−40t+80 , where t is measured in seconds since the car started its decline. The model is accurate for 0≤t≤4 . On this portion of the ride, how long does the car take to reach a minimum height from the ground before rising again?

Answers

Answer:

Therefore the car takes 2 s to reach a minimum height from the ground before rising again.

Step-by-step explanation:

Given that a roller coaster ride reach a height of 80 feet.

The height above the ground of the roller coaster is modeled by the function

h(t)=10t²-40t+80

where t is measured in second.

h(t)=10t²-40t+80

Differentiating with respect to t

h'(t)= 10(2t)-40

⇒h'(t)=20t-40

To find the minimum height we set h'(t)=0

∴20t-40=0

⇒20t =40

⇒t=2

The height of the roller coaster minimum when t=2 s.

The minimum height of of the roller coaster is

h(2)= 10(2)²-40.2+80

     =40-80+80

     =40 feet.

Therefore the car takes 2 s to reach a minimum height from the ground before rising again.

Answer:

2s

Step-by-step explanation:

What is the solution to the equation below?log7+log(x-4)=1
Ox---
38
O x--18
OX=
OX=
18
3998

Answers

Answer:

So, the solution to the equation

log(7)+log(x−4)=log(7)+log(x−4)=1 is x=38/7

, which is approximately 5.43 when rounded to two decimal places.

None of the options provided (38, -18, 18, 3998) match this solution.

Step-by-step explanation:

(2a + 4b)/(2b) = 3.9 \n (a)/(b) = what
with full explanation please​

Answers

Answer:  1.9

Work Shown:

(2a+4b)/(2b) = 3.9\n\n(2a)/(2b)+(4b)/(2b) = 3.9\n\n(a)/(b)+2 = 3.9\n\n(a)/(b) = 3.9-2\n\n(a)/(b) = 1.9\n\n