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3 years ago

In the graph increasing, decreasing, or constant?

Mathematics

2 answers:

shepuryov [24]3 years ago

6 0

The graph is increasing

Masja [62]3 years ago

6 0

Answer:

Step-by-step explanation:

slope>0 so graph is increasing.

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2 qt/min= how many gal/s

S_A_V [24]

The flow rate is 2 quarts per minute. There are 4 quarts in a US gallon, so 2 quarts divide 4 quarts per US gallon = 0.5 gallons per minute There are 60 seconds in a minute, so the flow rate is 0.5 gallons per minute divide 60 seconds per minute = 0.0083 gallons per second

4 0

4 years ago

Find the point P on the line yequals=66x that is closest to the point (74 comma 0 )(74,0). What is the least distance between P

tekilochka [14]

Answer:

The point P that is closest to the point (74, 0) is P(7.4, 22.2), and the least distance between P and (74, 0) is 70.2

Step-by-step explanation:

Given

y = 66x

And a point A(74, 0)

We are required to find the point on the line that is closest to A, and then find the distance between these points.

Let the point be P(s, t)

Because it's coordinate satisfies the given equation

y = 3x

Let t = 3s, then we have

p(s, t) = P(s, 3s)

Next, we find the distance between P and A

Let the distance be

D = √[(x1 - y1)² + (x2 - y2)²]

Here x1 = 74, x2 = 0, y1 = s, y2 = 3s.

D = √[(74 - s)² + (0 - 3s)²]

= √(s² - 148s + 5476 + 9s²)

= √(10s² - 148s + 5479)

To maximize the distance, we find the derivative of D with respect to s, and set it to 0.

That is dD/ds = 0

dD/ds =

(20s - 148)/2√(10s² - 148s 5479) = 0

=> 20s - 148 = 0

20s = 148

s = 148/20

s = 7.4

Since t = 3s, we have

t = 22.2

So, the point is P(7.4, 22.2)

Finally, we find the distance D.

D = √[(74 - s)² + (0 - 3s)²]

D = √[(74 - 7.4)² + (0 - 3×7.4)²]

D = √(4435.56 + 492.84)

= √4928.4

D = 70.2

Therefore, the distance is 70.2

4 0

3 years ago

Please help me on this problem thank you

mel-nik [20]

Answer:

The Answer should Be A

Step-by-step explanation:

Hope this helps and hope you get 100%... Also ill appercaite a brainlest

8 0

4 years ago

A baseball cost $7 and a baseball bat cost $27. With a 6.5% tax rate, what is the total cost of buying both items?

mestny [16]

Answer:

Total cost of buying both items is $36.21.

Step-by-step explanation:

We are given that a baseball cost $7 and a baseball bat cost $27.

Also, we are given a tax rate of 6.5%

Now, to find the total cost of both items we will find the individual costs of both items by applying tax rate on it.

Cost of baseball after applying tax rate is given by;

Since we know that by applying a tax on any item it's cost gets increased.

So, Cost of baseball after tax = Cost of baseball before tax + Amount of tax

Amount of tax = Tax rate $\times$ Cost of baseball

= 6.5% $\times$ $7

= $\frac{6.5}{100} \times 7$ = $0.455

So, Cost of baseball after tax = $7 + $0.455 = $7.455

Cost of baseball bat after applying tax rate is given by;

Cost of baseball bat after tax = Cost of baseball bat before tax + Amount of tax

Amount of tax = Tax rate $\times$ Cost of baseball bat

= 6.5% $\times$ $27

= $\frac{6.5}{100} \times 27$ = $1.755

So, Cost of baseball bat after tax = $27 + $1.755 = $28.755

Now, the total cost of buying both items = Cost of baseball after tax + Cost of baseball bat after tax

= $7.455 + $28.755 = $36.21

Therefore, the total cost of buying both items is $36.21.

6 0

3 years ago

PLS HELP (MARKING BRAINLIEST)

e-lub [12.9K]

Answer:

there is a fraction calculator you can use

https://www.calculatorsoup.com/calculators/math/fractions.php

Step-by-step explanation:

5 0

3 years ago