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3 years ago

Last one of the day please help!

Mathematics

2 answers:

fgiga [73]3 years ago

8 0

Answer:

161,200

Step-by-step explanation:

loris [4]3 years ago

7 0

Just use a calculator dumb

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The summer has ended and it’s time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of wate

WITCHER [35]

Answer:

a) -900 L/min

b) 63000 L

c) v = -900t +63000

d) 7200 L

Step-by-step explanation:

a) You are given two points on the curve of volume vs. time:

(t, v) = (20, 45000) and (70, 0)

The rate of change is ...

Δv/Δt = (0 -45000)/(70 -20) = -45000/50 = -900 . . . . liters per minute

b) In the first 20 minutes, the change in volume was ...

(20 min)(-900 L/min) = -18000 L

So, the initial volume was ...

initial volume -18000 = 45000

initial volume = 63,000 . . . . liters

c) Since we have the slope and the intercept, we can write the equation in slope-intercept form:

v = -900t +63000

d) Put the number in the equation and do the arithmetic.

When t=62, the amount remaining is ...

v = -900(62) +63000 = -55800 +63000 = 7200

7200 L remain after 62 minutes.

6 0

3 years ago

Find the x value for the point that splits segment AB in half if point A is located at (4, 3) and point B is located at (−2, 6).

erastova [34]

Midpoint = (x1+x2)/2 and (y1+y2)/2 = so just solving for
x gives (4+(-2))/2 = 1

not asked for but the y value is (3+6)/2 = 9/2 = 4.5 so the ordered pair is (1, 4.5)

3 0

4 years ago

Read 2 more answers

What is the perimeter and area of the figure?

Rudiy27

Perimeter is the sum of all outside dimensions:

5 + 3 + 1 + 2 + 4 + 5 = 20cm

Area = (5 x 5) - (2*1) = 25 - 2 = 23 cm^2

7 0

3 years ago

Identify the effect on the graph of replacing f(x) by f(x - h)

Tresset [83]

Given:

Replace f(x) by f(x - h).

To find:

The effect on the graph of replacing f(x) by f(x - h).

Solution:

Horizontal shift is defined as:

If the graph f(x) shifts h units left, then f(x+h).

If the graph f(x) shifts h units right, then f(x-h).

Where, h is a constant that represents the horizontal shift.

In the given problem f(x) is replaced by f(x - h) and we need to find the effect on the graph.

Here, we have x-h in place of x.

Therefore, the graph of f(x) shifts h units right to get the graph of f(x-h).

4 0

3 years ago

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. Wh

Alexxandr [17]

Answer:

$361,223

Step-by-step explanation:

Each year, the value is multiplied by 1+5% = 1.05. After 51 years, it has been multiplied by that factor 51 times, so is now ...

$30,000×1.05^51 ≈ $361,223

6 0

3 years ago