1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kazeer [188]
4 years ago
5

Devorah is filling a pool with a hose. The volume.H. In liters, of water coming out of the hose in .m.minutes is given by the fu

nction H(m)=17.4m. However it is a sunny day, and water is also evaporating from the pool. Therefore,the volume ,V, in liters, of water in the pool m minutes after devorah started filling it is given by V(m)=17m.
Let E be the volume of water, In Liters ,that has evaporated from the pool m minutes after devorah started filling it .

Write a formula for E(m) in terms of H(m) and V(m)

E(m)=___________

And

Write formula for E(m) in terms of m.

E(m)=______________

Mathematics
2 answers:
Alja [10]4 years ago
8 0
<span>Given that Devorah is filling a pool with a hose. The volume.H. In liters, of water coming out of the hose in .m.minutes is given by the function H(m)=17.4m. However it is a sunny day, and water is also evaporating from the pool. Therefore,the volume ,V, in liters, of water in the pool m minutes after devorah started filling it is given by V(m)=17m.

  IfE be the volume of water, In Liters ,that has evaporated from the pool m minutes after devorah started filling it .

The formula for E(m) in terms of H(m) and V(m) is given by

E(m) = H(m) - V(m)

And

The formula for E(m) in terms of m is given by

E(m) = 17.4m - 17m = 0.4m</span>
bulgar [2K]4 years ago
8 0

Answer:

H(m)-V(m)

0.4m

Step-by-step explanation:

You might be interested in
Please help ! 20 pts please
Ksenya-84 [330]

The given ratios expresses the number of time a value is larger or smaller

than another value.

The correct responses are;

  • 3. <u>(B) 12 and 24</u>
  • 4. <u>(D) 6, 9, 21</u>
  • 5. \underline{(E) \ \displaystyle  \frac{11}{2}}
  • 6. \underline{(E) \ \displaystyle \frac{5}{14}}
  • 7. (B) \overline{EF} =<u> 6</u>, \overline{AC} = <u>9·√5</u>
  • 8. <u>(C) The values are equal</u>
  • 9. <u>(A) The value in column A is greater</u>

Reasons:

3. Given that the perimeter of the rectangle = 72

The ratio of the lengths of the sides = 1:2

Let <em>a</em> and <em>b</em> represent the sides, we have;

2·a + 2·b = 72

\displaystyle \frac{a}{b} = \mathbf{\frac{1}{2}}

Which gives;

2·a = b

2·a + 2·(2·a) = 72

6·a = 72

a = 72 ÷ 6 = 12

b = 2·a = 2 × 12 = 24

The lengths of the sides are; <u>(B) 12 and 24</u>

4. Extended ratio = 2:3:7

The perimeter = 36

The lengths of the sides are;

\displaystyle \frac{2}{2 + 3 + 7} \times 36 = \mathbf{6}

\displaystyle \frac{3}{2 + 3 + 7} \times 36 = \mathbf{9}

\displaystyle \frac{7}{2 + 3 + 7} \times 36 = \mathbf{21}

The lengths are; <u>(D) 6, 9, 21</u>

5. The given equation is presented as follows;

\displaystyle \frac{5}{x + 7} = \mathbf{\frac{3}{x + 2}}

5 × (x + 2) = 3 × (x + 7)

5·x + 10 = 3·x + 21

5·x - 3·x  = 21 - 10

2·x = 11

\displaystyle x = \mathbf{ \frac{11}{2}}

The correct option is; \displaystyle \underline{(E) \ \frac{11}{2}}

6. The width to length ratio is \displaystyle \mathbf{\frac{2.5}{7.0}}

The simplified ratio is therefore;

\displaystyle \frac{2.5}{7.0} =  \frac{2 \times 2.5}{2 \times 7.0} =  \mathbf{\frac{5}{14}}

The correct option is (E) \displaystyle \underline{(E) \ \frac{5}{14}}

7. The given ratio of the lengths is 3:1

Therefore;

\overline{BC}:\overline{EF} = 3:1

Which gives;

\displaystyle \mathbf{\frac{\overline{BC}}{\overline{EF}}} = \frac{3}{1}

\overline{BC} = 18

Therefore;

\displaystyle \frac{18}{\overline{EF}} = \frac{3}{1}

18 × 1 = 3 × \overline{EF}

\displaystyle \overline{EF} = \frac{18 \times 1}{3} = 6

\overline{EF} = 6

By Pythagorean theorem, we have;

\overline{DF}² = \mathbf{\overline{DE}}² + \mathbf{\overline{EF}}²

Which gives;

\overline{DF}² = 3² + 6² = 45

\overline{DF} = √(45) = 3·√5

Using the given ratio, we have;

\overline{AC} = 3 × \mathbf{\overline{DF}}

Which gives;

\overline{AC} = 3 × 3·√5 = 9·√5

\overline{AC} = 9·√5

The correct option is; (B) \overline{EF} =<u> 6</u>, \overline{AC} = <u>9·√5</u>

8. EF = 1, AB = 2

CD = 2, CE = 4

Therefore;

\displaystyle \mathbf{\frac{EF}{AB}} =\frac{1}{2}

\displaystyle \mathbf{\frac{CD}{CE}} =\frac{2}{4} = \frac{1}{2}

Which gives;

\displaystyle \frac{EF}{AB} =\displaystyle \mathbf{\frac{CD}{CE}}

<u>(C) The values are equal</u>

9. AC = 6, BE = 8

DF = 3, BD = 6

Column A

\displaystyle \frac{AC}{BE} =\displaystyle \mathbf{\frac{6}{8}} = \frac{3}{4}

Column B

\displaystyle \frac{DF}{BD} =\displaystyle \mathbf{\frac{3}{6}} = \frac{1}{2}

\displaystyle \frac{3}{4} > \mathbf{\frac{1}{2}}

Therefore;

Column A is greater than column B

<u>(A) The value in column A is greater</u>

Learn more about ratios here:

brainly.com/question/2774839

7 0
3 years ago
Who earns more per hour, and what is his or her pay rate?
barxatty [35]
It would be B because 34.50 divided by 3=11.50 which is more than Amina

Hope this helps

Have a great day/night
3 0
3 years ago
Rewrite the decimal fraction as a decimal number.
fiasKO [112]

Answer

8.025

Step-by-step explanation:

If you count the zeros in 1000, it's three. Count three starting from the back of 25. Add 0 in front of 25 to make it a three digit number. You then put the decimal point with the whole number.

8 0
3 years ago
A soccer ball on the ground is kicked with an initial velocity of 37 feet per second at an elevation angle of 70°. Which
Montano1993 [528]

Answer:

x(t) = 37cos(70o)t and y(t) = –16t2 + 37sin(70o)t

Step-by-step explanation:

6 0
3 years ago
It does not make since to me
Kamila [148]

Answer:

It is B

Step-by-step explanation:

4 0
4 years ago
Other questions:
  • How to divide 7.96 by 5
    14·1 answer
  • In jeff's sample, the number of close friends each person has is as follows: 1, 2, 3, 4, and 10. what is the median number of cl
    11·1 answer
  • a mixture is 79% alcohol how many milliliters of alcohol would you add to 700 milliliters of water to make this mixture
    13·1 answer
  • There are 15 cards, numbered 1 through 15. If you pick a card, what is the probability that you choose an odd number or a two?
    12·1 answer
  • at the flea market, erin buys a phone that is 22% off and gloves that are reduced to $19.97. erin spends a total of $48.52. let
    11·2 answers
  • I need help with this question please
    14·1 answer
  • pleassssssssssssssssssssssssssssssssssssssssssssseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee help
    7·1 answer
  • in angle HIJ the measure of angle J is equal to 90° HI is equal to 88 ft,and IJ=62ft . find the measure of angle I to the earest
    15·1 answer
  • Is 3^2 ⋅ 3^−5 equivalent to 1/3^-3
    15·1 answer
  • ..<br> x + 5 &gt; 2x + 3<br> Solving multi step inequalities
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!