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Katen [24]
2 years ago
8

Debby used a garden hose to fill up a 4-gallon bucket in just 1/6 of a minute. At what rate does water flow through the hose?​

Mathematics
1 answer:
evablogger [386]2 years ago
6 0

Answer:

24 gallons

Step-by-step explanation:

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A diver begins at sea level and descends vertically at a rate of 2 1/2 ft. per second. How long does the diver take to reach -15
galina1969 [7]

2 1/2 feet can be written as 2.5 feet.

Divide the total distance by the distance per second:


15.6 feet / 2.5 feet per second = 6.24 seconds.

7 0
3 years ago
HELP PLEASE ITS DUE IN 10 MIN Use algebraic strategies to solve for x.
mr Goodwill [35]

Answer:

x = 4, x ≠ -1

Step-by-step explanation:

√3x + 4 = x

(√3x + 4)² = x² (Square both sides to get rid of the radical.)

3x + 4 = x²

0 = x² - 3x - 4 (Set everything to 0 by moving everything to one side.)

0 = (x - 4)(x + 1) (Factor.)

x = 4   x = -1

Now we need to check for extraneous solutions:

√3(4) + 4 = 4

√12 + 4 = 4

√16 = 4

4 = 4

√3(-1) + 4 = -1

√-3 +4 = -1

√1 = -1

1 ≠ -1

-1 is an extraneous solution.

8 0
2 years ago
Jordan built a scale model of a space shuttle at a scale of 1​ to 200​. If the actual space shuttle is 54 meters long, how long
KATRIN_1 [288]
540 (100 centimeters = 1 meter, so 54 x 100 = 540.)
4 0
1 year ago
Arrange the numbers in increasing order 5.049, 5.069, 5.49, 5.09
s344n2d4d5 [400]

5.049 is the smallest

5.069

5.09

5.49 is the biggest

3 0
3 years ago
Read 2 more answers
1) The deer population in a national park is expected to decline over time. The park
Lorico [155]

Answer:

Here's what I find.

Step-by-step explanation:

You have 800 deer at the end of Year 1, and you expect the population to decrease each year thereafter.

a) i) The recursive formula

Let dₙ = the deer population n years after the initial measurement.

d_{n} = d_{n - 1}r^{n}

For this situation,

d_{n} = d_{n - 1}(0.5)^{n}

a) ii) Definitions

n = the number of years from first measurement

r = the common ratio, that is, the deer population at the end of one year divided by the population of the previous year.

a) iii) First term of sequence

The first term of the sequence is d₀, the population when first measured.

b) The function formula

The formula for the nth term of a geometric series is

d_{n} =d_{0}r^{n - 1}

c) Value of d₀

Let n = 2; then d₂ = 800

\begin{array}{rcl}800 & = & d_{0}(0.5)^{2 - 1}\\800 & = & d_{0}(0.5)\\\\d_{0} & = & \dfrac{800}{0.5}\\\\& =&\mathbf{1600}\\\end{array}

4 0
3 years ago
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