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3 years ago

Look at the data.

Mathematics

1 answer:

andriy [413]3 years ago

4 0

Answer:

2 cm

Step-by-step explanation:

Data

Time (min) Depth (cm)

2 8

4 15

6 29

8 37

10 39

12 49

14 55

The line of best fit to find the amount of water is:

y = 3.9107x + 1.8571

(I used Excel to get it, you can use a calculator or similar programs if you want to)

In the equation, y represents depth (in cm) and x represents time (in min).

The amount of water, in cm, present initially in the bathtub is found at time equal to zero. Replacing x = 0 in the equation, we get:

y = 3.9107(0) + 1.8571

y = 1.8571 ≈ 2 cm

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3 years ago

21. Mickey earned $475 from mowing lawns last summer. He deposited this money in an

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Answer:

first, u need to know the formula for compound interest, which is:

$A = P(1 + \frac{r}{100})^{n}$

where A is the final amount

P- initial amount

r- percent compounded(interest)

and

n- number of years

we have

$A = 475(1 + \frac{3.8}{100})^{4}$

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4 years ago

The point (4,1) is translated by (XY) - (x + 2. y + 3), then rotated 90 counterclockwise. What are the coordinates of the final

olga55 [171]

Answer:

(-4,6)

Step-by-step explanation:

When rotating 90 degrees counter clockwise you go from (x,y) to (-y,x)

First start by adding 2 to 4

then add 3 to 1

(6, 4)

then use the formula (-y,x) to change (6,4)

(-4,6)

3 0

3 years ago

A town has a population of 14,000 and grows 5% every year. What will be the population after 14 years, to the nearest whole numb

hammer [34]

Answer:

23,800 people

Step-by-step explanation:

what is 5 % of 14,000- 700( 0.05 times 14,000)

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4 years ago

Andrea, Justin, and Virginia went to an office supply store. Andrea bought 6 pencils, 7 markers, and 8 erasers. Her total was $1

olga2289 [7]

Answer:

$x=0.25\,,\,y=1.75\,,\,z=0.25$

Step-by-step explanation:

Let $x,y,z$ denotes number of pencils, markers, erasers respectively.

For Andrea:

$6x+7y+8z=15.75\,\,\,(i)$

For Justin:

$6x+8y+5z=16.75\,\,\,(ii)$

For Virginia:

$5x+5y+7z=11.75\,\,\,(iii)$

On subtracting equations (i) and (ii), we get

$(6x+7y+8z)-(6x+8y+5z)=15.75-16.75\\-y+3z=-1\\y-3z=1\\y=1+3z$

Put $y=1+3z$ in equation (i)

$6x+7(1+3z)+8z=15.75\\6x+29z=8.75\,\,\,(iv)$

Put $y=1+3z$ in equation (iii)

$5x+5(1+3z)+7z=11.75\\5x+22z=6.75\,\,\,(v)$

Multiply equation (iv) by 5 and equation (v) by 6 and then subtract both the equations.

$5(6x+29z)-6(5x+22z)=5(8.75)-6(6.75)\\13z=3.25\\z=\frac{3.25}{13}=0.25$

Put $z=0.25$ in equation $y=1+3z$

$y=1+3(0.25)=1.75$

Put $y=1.75\,,\,z=0.25$ in equation (i)

$6x+7(1.75)+8(0.25)=15.75\\6x+12.25+2=15.75\\6x=1.5\\x=0.25$

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4 years ago