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Vlada [557]
2 years ago
14

The two lines represent the amount of water, over time, in two tanks that are the same size. Which container is filling more qui

ckly? EXPLAIN.

Mathematics
2 answers:
Bogdan [553]2 years ago
5 0

Answer:

A

Step-by-step explanation:

because if we see from the graph:

let's say they are powered by x minutes

Thus A is filled while B is only a half

so container A is filling more quickly

I hope this helps you :)

Lemur [1.5K]2 years ago
3 0

Answer:

A

Step-by-step explanation:

This is because line B has less water than A within the same time period. For example, lets say that each container had to be filled within 5 minutes. Container A would already be filled up within that time. Line B would be trailing behind a little.

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What is the decibel level of the sound of a ticking clock with intensity 10−9 watts per square inch? Use a logarithmic model to
In-s [12.5K]

Answer:

β = (-0.19 dB).

Step-by-step explanation:

The formula which is used to calculate the decibel level of a sound is given by :

\beta=10\log (\dfrac{I}{I_o})

I is intensity of the sound of a ticking clock

I_o=10^{-12}\ watts per square meter

Since, 1\ \text{inch}^2=\dfrac{1}{1550}\ \text{m}^2

The intensity of a monster truck is converted into per square meter as follows:  

10^{-9}\ {W/in^2}=   \dfrac{10^{-9}}{1550}\ W/m^2\\\\10^{-9}\ {W/in^2}=6.45\times 10^{-13}\ W/m^2

So, Decibal level is :

\beta=10\log (\dfrac{6.45\times 10^{-13}}{10^{-12}})\\\\\beta =-0.19\ dB

So, the decibel level of the sound of a ticking clock is (-0.19 dB).

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2 years ago
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Paul wants to add new mulch to the top of all five garden beds. the new mulch will be 10 centimetres (cm) deep. about how much n
ladessa [460]
(4*4*10)*3
160*3=480
(5*3*10)*2
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Laura owes $18,000 on her student loans. The interest rate on the bank loan is 2.5% and the interest rate on the federal loan is
Llana [10]

Answer:

The principal of the bank loan is $4,000

The principal of the federal lone is $14,000

Step-by-step explanation:

* Lets explain how to solve the problem

- Laura owes $18,000 on her student loans

- The interest rate on the bank loan is 2.5%

- The interest rate on the federal loan is 6.9%

- The total amount of interest she paid last year was $1,066

* Assume that the principle of the bank loan is $x and The principal of

 the federal loan is $y

∵ Her loan is 18,000

∴ x + y = 18,000 ⇒ (1)

- The interest is I = PRT, where P is the principal, R is the rate of interest

  in decimal ant is the time

# <u><em>The bank lone</em></u>

∵ P = $x

∵ R = 2.5/100 = 0.025

∵ T = 1

∴ <em>The interest of the bank lone</em> = x(0.025)(1) = <em>0.025 x</em>

# <u><em>The federal lone</em></u>

∵ P = $y

∵ R = 6.9/100 = 0.069

∵ T = 1

∴ <em>The interest of the federal lone</em> = 9(0.069)(1) = <em>0.069 y</em>

- The total interest is the sum of the interest of the bank lone and the

  interest of the federal loan

∵ The total interest is $1,066

∴ 0.025 x + 0.069 y = 1,066 ⇒ (2)

* We have system of equations

- Multiply equation (1) by -0.025 to eliminate x

∴ -0.025 x - 0.025 y = -450 ⇒ (3)

- Add equations (2) and (3)

∴ 0.044 y = 616

- Divide both sides by 0.044

∴ y = 14,000

- Substitute value of y in equation (1) to find x

∴ x + 14000 = 18000

- Subtract 18000 from both sides

∴ x = 4000

∵ x represents the principal of the bake loan and y represents the

  principal of the federal lone

* The principal of the bank loan is $4,000

* The principal of the federal lone is $14,000

3 0
2 years ago
A textbook store sold a combined total 402 of psychology and math textbooks in a week. The number of psychology textbooks sold w
uranmaximum [27]

Answer:

The number of textbooks of each type were sold is <u>134 math </u>and <u>268 psychology </u>books.

Step-by-step explanation:

Given:

Total number of math and psychology textbooks sold in a week is 402.

Now, let the number of math textbooks sold be x.

And, the number of psychology textbooks be 2x.

According to question:

x+2x=402

3x=402

Dividing both sides by 3 we get:

x=134

So, total number of math textbooks were 134 .

And, total number of psychology textbooks were 2x=2\times 134

                                                                                 =268.

Therefore, the number of textbooks of each type were sold is 134 math and 268 psychology books.

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2 years ago
Loki's home repairs will cost him $1,200. The bank will give him a loan for the full amount at an interest rate of 21%. The bank
bogdanovich [222]

Formula of interest =PRT divided by 100

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