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ELEN [110]
4 years ago
11

A bike travels 7 feet in 1/3 of a second. at the same speed, how many feet will it travel in 5 seconds?

Mathematics
2 answers:
blsea [12.9K]4 years ago
8 0
A bike travels 7 feet in 1/3 of a second. at the same speed, how many feet will it travel in 5 seconds?

jok3333 [9.3K]4 years ago
3 0

Answer:

105 ft.

Step-by-step explanation:

We have been given that a bike travels 7 feet in 1/3 of a second. We are asked to find the distance traveled by bike in 5 seconds.

\text{Speed}=\frac{\text{Distance}}{\text{Time}}

\text{Speed}=\frac{\text{7 ft}}{\frac{1}{3}\text{second}}

\text{Speed}=\text{7 ft}\times \frac{3}{1\text{ second}}

\text{Speed}=\frac{\text{21 ft}}{\text{ second}}

\text{Distance}=\text{Speed}\times \text{Time}

\text{Distance}=\frac{\text{21 ft}}{\text{ second}}\times \text{5 seconds}

\text{Distance}=105\text{ ft}

Therefore, the bike will travel 105 ft in 5 seconds.

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Step-by-step explanation:

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3 years ago
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For one acute angle θ of a right triangle, tan θ =2/<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%205" id="TexFormula1" title
Olenka [21]

Step-by-step explanation:

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5 0
3 years ago
According to the synthetic division below, which of the following statements are true?
kykrilka [37]

Answer:

Options (A) and (D)

Step-by-step explanation:

We can write the given division as,

\frac{2x^2+6x-8}{x+5}=2x-4+\frac{12}{x+5}

Option (A)

When (2x² + 6x - 8) is divided (x + 5), the remainder is 12.

True.

Option (B)

When (2x² + 6x - 8) is divided (x - 5), the remainder is 12.

False.

Option (C)

When x = 5,

2x² + 6x - 8 = 12

2(5)² + 6(5) - 8 = 50 + 30 - 8

                        = 72

False.

Option (D)

When x = -5,

2(-5)² + 6(-5) - 8 = 50 - 30 - 8

                          = 12

True.

Option (E)

(x - 5) is a factor of 2x² + 6x - 8

If (x - 5) is a factor value of 2x² + 6x - 8 should be zero.

False.

Option (F)

(x + 5) is a factor of 2x² + 6x - 8

If (x + 5) is a factor then by substituting x = -5 in the expression value should be zero.

But the value is 12.

False.

5 0
3 years ago
Use an addition or subtraction formula to find the exact value of the expression, as demonstrated in example 1. tan(105°)
strojnjashka [21]
Use an addition or subtraction formula to find the exact value of the expression, as demonstrated in example 1. tan(105°)

7 0
4 years ago
The graph of function f is shown above. if g(x)=x^2/f(x) what is the value of g'(1)?​
Alla [95]

Answer:

Step-by-step explanation:

Find the equation of the segment going from (0,-5) to (3,7)

y intercept = -5

Slope = (-5 - 7) / (0 - 3) = -12/-3 = 4

equation: y = 4x - 5

g(x) = x^2 / f(x)

f(x)=  (4x - 5)

g(x) = x^2 / (4x - 5)

g'(x) = x^2 * (4x - 5)^-1

g'(x) = 2x*(4x - 5)^-1  + (-1) *4* x^2 (4x - 5)^-2

I will leave that monster the way it is and just find g'(1)

g'(1) = 2(1) * (4(1) - 5)^-1    +    (-1) (1)^2 *4* (4(1) - 5)^-2

g'(1) = 2(1) * (-1)^-1             +    (-1) (1)^2 *4 * (-1)^2

g'(1) = -2                      +        (-1) (1)^2 (4)

g'(1) = - 2                     +        (-1) (1)^2 (4)

g'(1) =  - 2 - 4

g'(1) = - 6

7 0
3 years ago
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