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2 years ago

10

the expression 5n+2 can be used to find the total cost in dollars of bowling where n is the number of games bowled and 2 represe

nts the cost of shoe rental. How much will it cost Vincent to bowl 3 games?

1 answer:

tia_tia [17]2 years ago

7 0

5(3) + 2
15 + 2
17
Your answer is 17

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2 years ago

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3 years ago

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You are looking at the New York ball drop on New Year’s Eve at a distance of 100 m away from the base of the structure. If the b

Fofino [41]

The question is an illustration of related rates.

The rate of change between you and the ball is 0.01 rad per second

I added an attachment to illustrate the given parameters.

The representations on the attachment are:

$\mathbf{x = 100\ m}$

$\mathbf{\frac{dy}{dt} = 2\ ms^{-1}}$ ---- the rate

$\mathbf{\theta = \frac{\pi}{4}}$

First, we calculate the vertical distance (y) using tangent ratio

$\mathbf{\tan(\theta) = \frac{y}{x}}$

Substitute 100 for x

$\mathbf{y = 100\tan(\theta) }$

$\mathbf{\tan(\theta) = \frac{y}{100}}$

Differentiate both sides with respect to time (t)

$\mathbf{ \sec^2(\theta) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot \frac{dy}{dt}}$

Substitute values for the rates and $\mathbf{\theta }$

$\mathbf{ \sec^2(\pi/4) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

This gives

$\mathbf{ (\sqrt 2)^2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

$\mathbf{ 2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

Divide both sides by 2

$\mathbf{ \frac{d\theta}{dt} = \frac{1}{100} }$

$\mathbf{ \frac{d\theta}{dt} = 0.01 }$

Hence, the rate of change between you and the ball is 0.01 rad per second

Read more about related rates at:

brainly.com/question/16981791

8 0

2 years ago

If f(x)=2x² +5√(x-2), complete the following statement:

myrzilka [38]

By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.

<h3>How to determine the domain of a function with radical components</h3>

Domain is the set of x-values such that the value of the function exists. By algebra we know that the domain of polynomials is the set of all <em>real</em> numbers, whereas the domain of <em>radical</em> functions is the set of x-values such that y ≥ 0. If we know that f(x) = 2 · x² + 5 · √(x - 2), then the domain is restricted by the <em>radical</em> component and defined by x ≥ 2.

By functional analysis we have the following conclusion about the function given: The domain for f(x) is all real numbers greater than or equal to 2.

To learn more on functions: brainly.com/question/12431044

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8 0

1 year ago

A is the point with coordinates (-2,d) B is the point with coordinates (4,15) The line AB has gradient 1/2 Work out the value of

anygoal [31]

Answer:

d=12

Step-by-step explanation:

15-d/4+2=1/2

15-d/6=1/2

2(15-d)=6

30-2d=6

30-6=2d

24=2d

d=12

6 0

2 years ago