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lara [203]
3 years ago
5

Joe runs each lap in 5 minutes. He will run at least 12 laps today. What are the possible numbers of minutes he will run today?

Use for the number of minutes he will run today. Write your answer as an inequality solved for .
Mathematics
2 answers:
worty [1.4K]3 years ago
8 0

Answer:

at least 60 min (1 hour)

Step-by-step explanation:

we know that a lap takes 5 min.

and we know he will run At least 12 laps

that means that the least number of min.he can run is 5x12=60

So, 60min is the answer

Marina CMI [18]3 years ago
5 0

Answer:

5m ≥ 12; 1 hour

Step-by-step explanation:

you can represent the number of minutes per mile by 5m, but he is running 12 laps. So therefore, he would run for 60 minutes, or 1 hour. 5m ≥ 12

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Let g(x) = root of 4x and f(x) = 3x^3 + 8x^2 , what is the expression of the compound h(x) = g(f(x)) ?​
Nitella [24]

The composite function as shown is g(f(x)) =\sqrt{12x^3+32x^2}

<h3>Composite functions</h3>

Given the following fnctions

f(x) = 3x^3 + 8x^2\\g(x) = \sqrt{4x}

The composite function g(f(x)) is expressed as:

g(f(x)) =g(3x^3 + 8x^2)\\g(f(x) )=\sqrt{4(3x^3 + 8x^2)} \\g(f(x)) =\sqrt{12x^3+32x^2}

Hence the composite function as shown is g(f(x)) =\sqrt{12x^3+32x^2}

Learn more on composite function here: brainly.com/question/10687170

4 0
3 years ago
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What equation is equivalent to 2^3^x =10
Tresset [83]

Answer:

log_2(10)

<h3>how to find</h3>

Simplify the equation using logarithms.

<h3>part 1</h3>

2^3x=10

log_1_0(2^3x)=log_1_0(10)

log rule ⇩

log_a(x^y)=y*log_a(x)

move exponent out of log.

x*log_1_0(2)=log_1_0(10)

<h3>part 2</h3>

<em>isolate variable further</em>

x*log_1_0(2)=log_1_0(10)

x=\frac{log_{10}(10)}{log_{10}(2)}

formula for combining logs. ⇩

\frac {log_b(x)}{log_b(a)}=log_a(x)

the result ⇩

x=log_2(10)

6 0
2 years ago
Which two lines are parallel?<br> Which two lines are perpendicular?
lana66690 [7]

Answer:

see explanation

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

All the equations given are in slope- intercept form

y = 2x + 1 → with m = 2

y = \frac{1}{2} x - 4 → with m = \frac{1}{2}

y = x + 1 → with m = 1

y = - \frac{1}{x} x - 3 → with m = - \frac{1}{2}

y = 10 + x → y = x + 10 → with m = 1

Thus

y = x + 1 and y = 10 + x are Parallel since both have m = 1

y = 2x + 1 and y = - \frac{1}{2} x - 3 are Perpendicular since 2 × - \frac{1}{2} = - 1

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Answer:

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Step-by-step explanation:

Like the question asked, which property of integral was used.

Property 8 of integrals was the basis upon which the question was solved.

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The five members of a band are getting new outfits. Shirts cost $12 each, pants cost $29 each, and boots cost $49 a pair. What i
WINSTONCH [101]
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