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Tamiku [17]
3 years ago
13

A train travels 430 miles in 5 hours at a constant speed.

Mathematics
1 answer:
steposvetlana [31]3 years ago
7 0

Answer:

2.5

Step-by-step explanation:

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A rectangular prism has a height of 18 millimeters. The base of the prism has an area of 25 square millimeters.
malfutka [58]

Answer:

volume = 450 mm³

Step-by-step explanation:

Given:

  • height = 18 mm
  • area of base = 25 mm²

Volume of a rectangular prism = area of base x height

⇒ volume = 25 x 18 = 450 mm³

3 0
3 years ago
39-50 find the limit.<br> 41. <img src="https://tex.z-dn.net/?f=%5Clim%20_%7Bt%20%5Crightarrow%200%7D%20%5Cfrac%7B%5Ctan%206%20t
Katyanochek1 [597]

Write tan in terms of sin and cos.

\displaystyle \lim_{t\to0}\frac{\tan(6t)}{\sin(2t)} = \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)}

Recall that

\displaystyle \lim_{x\to0}\frac{\sin(x)}x = 1

Rewrite and expand the given limand as the product

\displaystyle \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)} = \lim_{t\to0} \frac{\sin(6t)}{6t} \times \frac{2t}{\sin(2t)} \times \frac{6t}{2t\cos(6t)} \\\\ = \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right)

Then using the known limit above, it follows that

\displaystyle \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right) = 1 \times 1 \times \frac3{\cos(0)} = \boxed{3}

4 0
2 years ago
The school cafeteria served three kinds of lunches today to 225 students. The students chose the cheeseburgers three times more
r-ruslan [8.4K]

1)

Let the number of fish sandwiches sold br represented by x

Then the number of grilled cheese sold is 2X

and the number of cheeseburgers 3(2x)

x + 2x + 3(2x) = 225

and solve

2)

Let x represent the no. of pounds of peanuts

Then x + 14 represents the no of pounds of the mixture

And

(2.25)x + (3.25)(14) = (2.65)(x + 14

and solve

3) Try on your own

plz mark me as brainliest :)

3 0
3 years ago
Please help it's due today. Also please don't help if you don't know.​
zavuch27 [327]

Answer:

{x}^{16}  {y}^{22}

Step-by-step explanation:

multiple the top exponents by 3 and the u subtract the bottoms

4 0
3 years ago
What is 100,000,000 written as a power of ten?<br> a. 10^8<br> b. 10^9<br> c. 10^10<br> d. 10^11
Minchanka [31]
100,000,000 = 100 \times 10^6 = 1\times 10^8\\~~\underbrace{~~~~~~~~~~~~~~~}\\~~~~~~~~~8

Your answer is a. 10^8
7 0
3 years ago
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