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3 years ago

A sprinter can run 319 feet and 11 seconds find the sprinters unit rate of feet per second

Mathematics

2 answers:

Brilliant_brown [7]3 years ago

7 0

The answer is 29 ft per second. Just divide 319 by 11

Naddik [55]3 years ago

4 0

Answer:28 feet per second

Step-by-step explanation:

Given : The distance traveled by sprinter = 319 feet

The time taken by sprinter = 11 seconds

We know that the formula to calculate the unit rate of distance per time is given by :_

$r=\dfrac{\text{Distance}}{\text{Time}}\\\\\Rightarrow\ r=\dfrac{319}{11}\\\\\Rightarrow\ r=29\text{ feet per second}$

Hence, the sprinters unit rate = 28 feet per second

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the function y = 3.75 + 1.5(x - 1) can be used to determine the cost in dollars of x miles. What is the rate of change of the co

LenKa [72]

We are given

$y=3.75+1.5(x-1)$

where

y is the cost in dollars

x is distance in dollars

now, we can find derivative

$y'=\frac{d}{dx}\left(3.75+1.5\left(x-1\right)\right)$

$=\frac{d}{dx}\left(3.75\right)+\frac{d}{dx}\left(1.5\left(x-1\right)\right)$

$=0+1.5$

so,

$y'=0+1.5$

So,

the rate of change of the cost in dollars with respect to the number of miles is 1.5.........Answer

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3 years ago

1. Maryann is tracking the change in her vertical jump over 6 months. Use the table to write a linear function that models her j

ArbitrLikvidat [17]

Answer:

Part 1) Option A. f of x equals one half times x plus 16

Part 2) Option A. x = 5

Part 3) Option C. x − 4y = −9

Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.

Step-by-step explanation:

Part 1)

Let

x -----> the number of months

y ----> vertical jump in inches

step 1

Find the slope

we have the points

(0,16) and (2,17)

$m=(17-16)/(2-0)=\frac{1}{2}$

The equation of the line in slope intercept form is

$y=mx+b$

we have

$m=\frac{1}{2}$

$b=16$ -----> the point (0,16) is the y-intercept

substitute

$y=\frac{1}{2}x+16$

convert to function notation

f(x)=y

$f(x)=\frac{1}{2}x+16$

Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?

step 1

Find the slope

we have the points

(5, 0) and (5, −2)

$m=(-2-0)/(5-5)=\frac{-2}{0}$

the slope is undefined

This is a vertical line (parallel to the y-axis)

therefore

The equation is

x=5

Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)

step 1

Find the slope

we have the points

(−1, 2) and (3, 1)

$m=(1-2)/(3+1)=-\frac{1}{4}$

step 2

Find the equation of the line into point slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{1}{4}$

$point\ (3, 1)$

substitute

$y-1=-\frac{1}{4}(x-5)$

Convert to standard form

Multiply by 4 both sides to remove the fraction

$4y-4=-(x-5)$

$4y-4=-x+5$

$x-4y=-4-5$

$x-4y=-9$

Part 4) Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario

we know that

The <u>independent variable</u> is the variable whose change isn’t affected by any other variable (An example the age and time)

The <u>dependent variable</u> it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))

Let

x ----> the number of rides

y ----> the total cost in dollars

In this problem

The independent variable or input is the number of rides

The dependent variable or output is the total cost

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3 years ago

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Vanyuwa [196]

Answer:

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Step-by-step explanation:

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2 years ago

Find the length of the radius of a sphere with a surface area of 5541.77 cm2.

ladessa [460]

The area of a sphere: A = 4.π.R²

A= 5541.77 → 5541.77 = 4.π.R²

R² = (5541.77)/(4.π)
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Leni [432]

Less than 1 cup of chocolate chips

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3 years ago

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