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77julia77 [94]
2 years ago
8

a bike shop rents bikes with Heights ranging from 18 in to 26 inches. The shop says that the height of the bike should be about

0.6 times a cyclist legs length. write and solve a compound inequality that represents the leg lengths of the cyclist the shop does not provide bikes for?
Mathematics
1 answer:
Alik [6]2 years ago
4 0

Given that a bike shop rents bikes with heights ranging from 18 inches to 26 inches. And the height of the bike should be about 6 times a cyclist legs length.

Let x be the cyclist leg length.

From given condition If 0.6x is between 18inches to 26 inches, then only cyclist can rent bike.

Then condition for cyclist not getting bike is 0.6x<18 or 0.6x>26

                                      x<\frac{18}{0.6} or x>\frac{26}{0.6}

                                          x<30 inches or x>43.33 inches

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<h3><u>Answer:</u></h3>

The function N(t) is given as:

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<h3><u>Step-by-step explanation:</u></h3>

Jenny studied the characteristics of two species of bacteria.

The number of bacteria of species A, A(t), after t hours is represented by the function:

A(t) = 5+(0.25t)^3

The number of bacteria of species B, B(t), after t hours is represented by the function:

B(t) = 2 + 8(1.06)^t

N(t) denotes the difference in the number of bacteria; hence N(t) is given by after t hours as:

N(t)=A(t)-B(t)

N(t)= 5+(0.25t)^3-(2 + 8(1.06)^t)

which on simplifying gives:

N(t)=5+(0.25t)^3-2-8(1.06)^t\\\\N(t)=5-2+(0.25t)^3-8(1.06)^t\\\\N(t)=3+(0.25t)^3-8(1.06)^t

Hence,

5 0
1 year ago
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Information was collected on those who attended the opening of a new movie. The analysis found that 56 percent of the moviegoers
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Answer: 0.65

Step-by-step explanation:

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As per given we have,

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Using formula ,

P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\ P(A\cup B)=0.56+0.26-0.17=0.65

Hence, the probability that a moviegoer is either female or under age 25 = 0.65

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Answer:

Step-by-step explanation:

Do you remember the formula so that you can solve this problem??

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2 years ago
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nikitadnepr [17]

Answer:

Based on the converse of the Pythagorean Theorem, the triangle is not a right triangle, because 9+12\neq 15

Step-by-step explanation:

The complete question in the attached figure

we know that

If the length sides of a triangle, satisfy the Pythagorean Theorem, then is a right triangle

c^2=a^2+b^2

where

c is the hypotenuse (the greater side)

a and b are the legs

In this problem

The length sides squared of the triangle are equal to the areas of the squares

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c^2=15\ in^2  

a^2=12\ in^2

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