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Lemur [1.5K]
3 years ago
15

A slug takes 4.25 minutes to travel 11.2 centimeters. What is the speed of the slug in meters per second?

Mathematics
1 answer:
MAXImum [283]3 years ago
5 0

Answer:

4.39*10^{-4}\ m/sec

Step-by-step explanation:

Remember that

1\ m=100\ cm

1\ min=60\ sec

The speed is equal to divide the distance by the time

Convert the units

4.25\ min=4.25(60)=255\ sec

11.2\ cm=11.2/100=0.112\ m

so

0.112/255=0.000439\ m/sec

4.39*10^{-4}\ m/sec

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Ella completed the following work to test the equivalence of two express
murzikaleks [220]

Answer:

The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.

Step-by-step explanation:

<u>Equivalent algebraic expressions</u> are those expressions which on simplification give the same resulting expression.

Two algebraic expressions are said to be <u>equivalent</u> if their values obtained by substituting any values of the variables are same.

Two expressions 3f+2.6 and 2f+2.6 are not equivalent, because when f=1,

3f+2.6=3\cdot 1+2.6=3+2.6=5.6\\ \\2f+2.6=2\cdot 1+2.6=2+2.6=4.6\\ \\5.6\neq 4.6

Method of substitution can only help her to decide the expresssions are not equivalent, but if she wants to prove the expressions are equivalent, she must prove it for all values of f.

3f+2.6=2f+2.6\\ \\3f=2f\\ \\3f-2f=0\\ \\f=0

This is true only when f=0.

Hence,

The expressions are not equivalent because Ella did not know that you can’t use substitution to test for equivalence.

5 0
3 years ago
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Which best describes the range of the function f(x) = Two-thirds(6)x after it has been reflected over the x-axis?
stiv31 [10]

Answer:

y > 0 best describes the range of the function f(x) = 2(3)x. A function whose value is a constant raised to the power of the argument, especially the function where the constant is e

Step-by-step explanation:

10 1
3 years ago
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Nancy is running on a trail that's 5.3 miles long. After 20 minutes, she has run 1.45 miles. Write an addition to fine how much
mars1129 [50]

Answer:

5.3-1.45=3.85

Step-by-step explanation:

she has 3.85 miles left to go because she already ran 1.45 and if you subtract that from the 5.3 you get 3.85 left to run.

5 0
4 years ago
A function is given. Determine the average rate of change of the function between the given values of the variable.
Anit [1.1K]
F(x) = 3x - 5
f(2) = 3 (2) - 5
f (2) = 6-5
f (2) = 1
5 0
3 years ago
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What is the average rate of change for f(z) = -2z^2 - 12z -19 over the interval [ -4, -2 ]?
marusya05 [52]

Answer:

Average rate of change = 0

Step-by-step explanation:

f(z) = -2z^2 - 12z - 19

a = -4 and b = -2

[f(b) - f(a)] / (b-a)

[-2(-2)^2 - 12(-2) -19] - [-2(-4)^2-12(-4)-19] / (-2 -(-4))

(-8+24-19) - (-32+48-19) / 2

(-8+24-19+32-48+19) / 2 = 0/2

6 0
3 years ago
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