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My name is Ann [436]
3 years ago
5

How to do

Mathematics
1 answer:
Dovator [93]3 years ago
7 0

Answer:

$50.00

Step-by-step explanation:

I did this. 18.95+2.95+15.64+5+7.46. It equaled 50 so fifty dollars is your answer.

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Let t be time in seconds and let r(t) be the rate, in gallons per second, that water enters a reservoir: r(t)=700−40t. a) For 0≤
Flura [38]
What you don't want is the value of r(t) becoming negative. Surely that would represent water escaping the reservoir.

How big can (t) get before water actually starts escaping the reservoir?

Essentially, to figure this out r(t) would have to be equal to 0. 

700 - 40t = 0

40t=700

t=700/40=17.5

So the first answer is 17.5 seconds. After this amount of time has elapsed the reservoir will start to lose water as r(t) would become negative.

---------------

The reservoir had the least amount of water in it before it was being filled. That was when t=0. The volume of water in the reservoir wasn't negatively impacted as not enough water had escaped it during the 17.5 to 30 second period.
7 0
3 years ago
Solve the equation<br> 2x-3=15<br> A)x=6<br> B)x=9<br> C)x=24<br> D)x=36
DaniilM [7]
To solve the equation, it is necessary to isolate the unknown variable "x" first. This is done as shown below:

2x - 3 = 15

Adding 3 to both sides of the equation:

2x - 3 + 3 = 15 + 3
2x = 18

Dividing 2 from both sides:

2x/2 = 18/2
x = 9

Among the choices, the correct answer is B.
5 0
4 years ago
Emily has 12 fruits in her bowl. She has 3 apples, 5 bananas, 1 pear and 3 oranges. A fruit is selected at random. What is the p
blsea [12.9K]

Answer: The probability that the fruit is an orange or a pear is \dfrac{1}{3} .

Step-by-step explanation:

Given : Emily has 12 fruits in her bowl.

She has 3 apples, 5 bananas, 1 pear and 3 oranges.

A fruit is selected at random.

P(orange)  = \dfrac{\text{Number of oranges}}{\text{Total fruits}}

=\dfrac{3}{12}

P(pear)= \dfrac{\text{Number of pears}}{\text{Total fruits}}

=\dfrac{1}{12}

Since both events of selecting orange and pear are mutually exclusive , so

The probability that the fruit is an orange or a pear = P(orange) + P(pear)

=\dfrac{3}{12}+\dfrac{1}{12}=\dfrac{4}{12}=\dfrac{1}{3}

Therefore , the probability that the fruit is an orange or a pear is \dfrac{1}{3} .

5 0
4 years ago
Two cities A and B are 1400km apart and lie on the same N-S line. The latitude of city A is 23 Degrees. What is the latitude of
erica [24]

Answer:

{\theta}=12.53 degrees≈13degrees

Step-by-step explanation:

It is given that Two cities A and B are 1400km apart and lie on the same N-S line. The latitude of city A is 23 Degrees. Then,

Using the formula, S=r{\theta} where s is the distance between the two cities and r is the radius of the earth,thus substituting the values, we get

1400=6400{\theta}

⇒{\theta}=\frac{14}{64}

Therefore, {\theta}=\frac{14}{64}{\times}\frac{180^{{\circ}}}{{\pi}}

⇒{\theta}=\frac{2520}{200.96}

⇒{\theta}=12.53 degrees

Thus, the latitude of B is=12.53 degrees≈13degrees

4 0
4 years ago
If a = 2 + i, and b = 3 – 2i, what is a/b?
AveGali [126]

Answer:

it's \\\frac{4}{13} +\frac{7}{13}i

Step-by-step explanation:

3 0
3 years ago
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