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Vadim26 [7]
3 years ago
5

Find the function satisfying the differential equation f′(t)−f(t)=3t f′(t)−f(t)=3t and the condition f(1)=−1f(1)=−1.

Mathematics
1 answer:
Colt1911 [192]3 years ago
7 0
Try this solution (see the attachment).

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The volume of a rectangular prism is 72 cubic centimeters. The prism is 2 centimeters wide and 4 centimeters high. What is the l
skelet666 [1.2K]

Answer:

The length of prism is  <u>9 centimetres</u>.

Step-by-step explanation:

Given:

The volume of a rectangular prism is 72 cubic centimeters.

The prism is 2 centimeters wide and 4 centimeters high.

Now, to find the length of prism:

Let the length be l.

Width = 2 centimeters.

Height = 4 centimeters.

Volume = 72 cubic centimeters.

So, putting the formula to get the length of prism:

Volume = length\times width\times height

72=l\times 2\times 4

72=l\times 8

Dividing both sides by 8 we get:

9=l

Length = 9 centimetres.

Therefore, the length of prism is  9 centimetres.

6 0
3 years ago
I really really need help with this please.
11111nata11111 [884]
<span>The number of ancestors going back through the <em>5th generation</em>, including Tle-nle and counting <em>Tle-nle as the 1st generation</em> is: 

= 1 + 3 + 3^2 + 3^3 + 3^4
= (3^5 - 1) / (3 - 1)
= 242 / 2
= 121 

Since we included </span>Tle-nle as the 1st generation, we will only compute up to the 4th power. If it is until the 6th generation, add 3^5 to the equation.
8 0
3 years ago
the side length of the state flag of Colorado are in the ratio of 2:3 if the flag is 12 ft long what is the height?​
yanalaym [24]

Answer:

The height is 8

Step-by-step explanation:

Ratios are just fractions. That being said, you also have part of a fraction. You know that the colorado flag is in 2:3, and 12 feet long is according to that ratio; it equals each other.

Make the equation.

\frac{2}{3}  = \frac{x}{12}

Now isolate x (in order to solve for it)

12 * \frac{2}{3}  = \frac{x}{12}*12\\8 = x

x= 8

The height is 8.

8/12 = 2/3 ✅

6 0
3 years ago
The seventh-grade class is building target areas for a PE activity. The bases for the game will be circular in shape. The diamet
Scilla [17]
To calculate the area it is pi*r^2

so since r = 1/2 d

2.5^2 * pi = area
or
19.625
8 0
3 years ago
At the market you can buy 6 bags of apples for $25. At the orchard you can get 8 bags of apples for $35. Which is the better dea
ryzh [129]

Answer:

8 bags at the orchard

Step-by-step explanation:

6/25 = .24

8/35 = .22

3 0
3 years ago
Read 2 more answers
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