After swimming 50 feet below the surface of the water, a

Mathematics

1 answer:

marissa [1.9K]2 years ago

7 0

Answer:

20, c

Step-by-step explanation:

50-30=20 Go 50 down a number line from 50, you're at 0, then go back up 30. Where are you at? 20 Hope this helps! Have a good day! :)

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What is the pobability that a number cube with six

Snowcat [4.5K]

Answer: $\dfrac{1}{6}$

Step-by-step explanation:

We know that the total number of outcomes for fair dice {1,2,3,4,5,6} = 6

Given : Favorable outcome = 5

i.e. Number of favorable outcomes =1

We know that the formula to find the probability for each event is given by :-

$\dfrac{\text{Number of favorable outcomes}}{\text{Total outcomes}}$

Then, the probability that the six faces cube will land with the number 5 face up will be :_

$\dfrac{1}{6}$

Hence, the required probability = $\dfrac{1}{6}$

5 0

3 years ago

Sam runs 2 miles in 16 minutes. If Sam runs at the same rate, how far can he run in 64 minutes?

Pie

Answer:

8 miles

Step-by-step explanation:

Since

16 x 4 = 64

Therefore

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3 years ago

Integration of ∫(cos3x+3sinx)dx

Murljashka [212]

Answer:

$\boxed{\pink{\tt I = \dfrac{1}{3}sin(3x) - 3cos(x) + C}}$

Step-by-step explanation:

We need to integrate the given expression. Let I be the answer .

$\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\ dx$

Let u = 3x , then du = 3dx . Henceforth 1/3 du = dx .
Now , Rewrite using du and u .

$\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I = \dfrac{1}{3}sin(3x) - 3cos(x) + C }}}}}$