Which of the following mathematical expressions is equivalent to the verbal expression "a number, X,

The function d=0.006s squared represents the braking distances d in meters of a car at a speed s in kilometer per second.Graph t

Molodets [167]

Answer:

Part 1) The graph in the attached figure

Part 2) The value of s is approximately 45 km/sec

Step-by-step explanation:

<u><em>The complete question is</em></u>

The function d=0.006s² represents the braking distances d in meters of a car at a speed s in kilometer per second.Graph the function. Then use your graph to estimate the speed of the car if its braking distance is 12 meters

Part 1) Graph the function

Let

s ----> the speed in kilometers per second

d ----> the braking distances in meters

we have

$d=0.006s^2$

This is a quadratic equation (vertical parabola) open upward (the leading coefficient is positive)

The vertex represent a minimum

The vertex is the origin

The axis of symmetry is the y-axis

Find the values of d for different values of s

so

For s=0 km/sec ----> $d=0.006(0)^2=0\ m$ ---> point (0,0)

For s=20 km/sec ----> $d=0.006(20)^2=2.4\ m$ ---> point (20,2.4)

For s=30 km/sec ----> $d=0.006(30)^2=5.4\ m$ ---> point (30,5.4)

For s=40 km/sec ----> $d=0.006(40)^2=9.6\ m$ ---> point (40,9.6)

For s=50 km/sec ----> $d=0.006(50)^2=15\ m$ ---> point (50,15)

To graph the function plot the points and connect them

see the attached figure

Part 2) Use your graph to estimate the speed of the car if its braking distance is 12 meters

Looking at the graph

For d=12 m

The value of s is approximately 45 km/sec

see the attached figure

5 0

2 years ago

In circle C, SQ = 10 cm.

ale4655 [162]

Answer:

1-Arc PQ is congruent to arc SR.

2-The measure of arc QR is 150°.

4-Arc PS measures about 13.1 cm.

5-Arc QS measures about 15.7 cm

Step-by-step explanation:

1,2,4,5

5 0

2 years ago

Read 2 more answers

Shawna and her best friend Keisha go shopping. The function p(x) = 3x4 + 2x3 − 4x2 + 21 represents how much money each girl spen

tino4ka555 [31]

Answer:

$69

Step-by-step explanation:

Given the amount of money each girl spent based on the number of hours they were shopping modeled by the function p(x) = 3x4 + 2x3 − 4x2 + 21

To get how much they spend together if each go shopping for 2hours, we will substitute x = 2 into the given function as shown:

p(2) = 3(2)⁴ + 2(2)³ − 4(2)² + 21

p(2) = 3(16) + 2(8) − 4(4) + 21

p(2) = 48 + 16 − 16 + 21

p(2) = 48+21

p(2) = 69

Therefore they spend $69 together

5 0

2 years ago

A randomly chosen subject arrives for a study of exercise and fitness and begins walking on a treadmill at a brisk pace. which o

Flauer [41]

A discrete variable is a type of variable which contains a finite number of values. It usually takes its values from the set of whole numbers.

From the random variable described, the random variable that is descrete is "You measure the maximum heart rate in beats per minute".

This is because, heart rate cannot be partitioned it only takes counting number values. You either have 1 beat per minutes, 2 or 3 and so on beats per minute. But you cannot have 2.5 or 3.8 and so on beats per minute.
So heart rate cannot take decimal or fractional values and hence, it is a discrete random variable.

4 0

2 years ago

Line segment ON is perpendicular to line segment ML, and PN = 10.

Ne4ueva [31]

we know that

Triangle MOL is an isosceles triangle

because

$MO=OL=radius\ of\ circle=25\ units$