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juin [17]
2 years ago
7

Jerry is filling a water tank which initially consists of 75 gallons of water. As the water is being pumped in, the water in the

tank increases by 2.5 gallons every minute. To ensure that the tank does not overflow, he wants to fill the tank with a maximum of 195.5 gallons.
What is the maximum amount of time, in minutes, that Jerry can fill the tank without it overflowing?
Mathematics
2 answers:
labwork [276]2 years ago
7 0

Answer:

The maximum amount of time is 48.2 minutes

Step-by-step explanation:

We can use the equation for a line

y = mx+b

the inital value is 75 gallons   ( that is b)

the slope is 2.5 gallons  (that is m)

We know that we want to fill it to 195.5 gallons ( that would be y)

195.5 = 2.5x +75

We are going to solve for x  (that is the number of minutes)

Subtract 75 from each side

195.5-75 = 2.5x +75-75

120.5 = 2.5x

Divide by 2.5 on each side

120.5/2.5 = 2.5x/2.5

48.2 =x

The maximum amount of time is 48.2 minutes

elena55 [62]2 years ago
5 0

Answer:

48.2 minutes

Step-by-step explanation:

With an increase of 2.5/min,

The volume is:

75 + 2.5t,

Where t is time (in minutes)

To aviod overflow:

75 + 2.5t 《 195.5

2.5t 《 120.5

t 《 48.2

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Answer: 54

Step-by-step explanation:

Given the following expresion provided in the exercise:

10m+\frac{n^2}{4}

You can follow these steps in order to evaluate it when m=5 and n=4:

1. You need to substitute m=5 and n=4 into the given expression:

10(5)+\frac{(4)^2}{4}

2. Now you can solve the mutiplication:

=50+\frac{(4)^2}{4}

3. Since 4^2=4*4, you get:

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5. And finally, you must solve the addition. So, you get this result:

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2 years ago
Data sets A and B are dependent. Find sd.Assume that the paired data came from a population that is normally distributed.A. 1.73
marusya05 [52]

Complete question :

A : 2.7, 3.7, 5.6, 2.6, 2.7

B : 5.1, 4.0, 3.9, 3.8, 5.2

Data sets A and B are dependent. Find sd.Assume that the paired data came from a population that is normally distributed.A. 1.73B. 1.21C. 1.32D. 1.89

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Step-by-step explanation:

Given the data:

A : 2.7, 3.7, 5.6, 2.6, 2.7

B : 5.1, 4.0, 3.9, 3.8, 5.2

Difference betweenA and B (A - B) :

Xd = (A - B) = - 2.4, -0.3, 1.7, - 1.2, - 2.5

Sum of (A - B) = Σ Xd = (-2.4 + (-0.3) + 1.7 + (-1.2) + (-2.5) = - 4. 7

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Xd - Md = (-2.4 + 0.94), (-0.3 + 0.94), (1.7 + 0.94), (-1.2 + 0.94), (-2.5 + 0.94)

(Xd - Md) = - 1.46, 0.64, 2.64, - 0.26, - 1.56

(Xd - Md)^2 = (-1.46)^2 + 0.64^2 + 2.64^2 + (-0.26)^2 + (-1.56)^2

Σ(Xd - Md)^2 = (2.1316 + 0.4096 + 6.9696 + 0.0676 + 2.4336) = 12.012

Standard deviation = √[Σ(Xd - Md)^2 / (n-1)]

Standard deviation= √12.012 / 4

Standard deviation = 1.7329

Standard deviation= 1.73

3 0
2 years ago
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gizmo_the_mogwai [7]
I will attached the picture of what you are talking about here. The answer for this problem is: Yes, that they are congruent by SAS. Meaning that the triangles are congruent if their included angles and any pair of corresponding sides are equal in both triangles. In this case, the sides are both 21 cm and this will make the angle equal for both triangles, so that is why they are congruent.

9 0
2 years ago
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Answer: The comparison is mentioned below.

Step-by-step explanation:

A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally.

Therefore its slope = length of the equipment vertically / length of equipment horizontally

m_1=  6/4 = 3/2 = 1.5

And, A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally.

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Answer:

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Step-by-step explanation:

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=> w= 1508.16 radians per second

hence Billy’s angular velocity, is 1508.16 radians per second

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2 years ago
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