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damaskus [11]
2 years ago
11

A car moving at a constant speed passed a timing device at t=0. After 7 ​seconds, the car has traveled 567 ft. Write a linear fu

nction rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.
Mathematics
1 answer:
Alisiya [41]2 years ago
6 0

Answer:

The required equation is:

  • d = 81t
  • f(t) = 81t

Step-by-step explanation:

We know that

distance = rate × t

Given that a car moving at a constant speed passed a timing device at t=0.

In other words, at t = 0 second, d = 0 ft.

After 7 ​seconds, the car has traveled 567 ft.

In other words, at t = 7 seconds, d = 567 ft

Thus, there are two points

(0, 0)

(7, 567)

Finding the slope between (0, 0) and (7, 567)

Using the formula

Slope = Rate of change = [y₂-y₁] / [x₂-x₁]

                                        = [567 - 0] / [7-0]

                                        = 567 / 7

                                        = 81 ft/second

Given that the car is moving at constant speed. So, we dont't have any other factor or term to consider

Thus, the required equation is:

distance = rate × t

d = 81 × t

d = 81t

or

f(t) = 81t

VERIFICATION

Given the equation

d = 81 × t

Put t = 0 to find the disatance in 1 sec

d = 81 × (0) = 0 ft

Put t = 7 to find the distance in 7 seconds

d = 81 × (7) = 567 ft

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3( x - 2 ) + 2 (4x - 1)
Vika [28.1K]

Answer:

11x-8

Step-by-step explanation:

First distribute the 3 and 2. (Only in the parenthesis!):

3(x-2)+2(4x-1)

3x-6+8x-2

Combine like terms:

3x+8x=11x

-6-2=-8

So the answer is:

11x-8

4 0
2 years ago
PLZ HELP!!!<br> what r the answers??
vekshin1

Answer:

Question 2 the answer is C) y = -3/2x + 2

Question 3 the answer is D) x = 4

Step-by-step explanation:

To solve either we first need to know that parallel lines have the same slope.

So in #2 we know that the new line will also have a slope of -3/2. Therefore, we can use that along with the point given in the problem in point-slope form to get the new equation.

y - y1 = m(x - x1)

y + 1 = -3/2(x - 2)

y + 1 = -3/2x + 3

y = -3/2x + 2

And for #3, we know that we have a vertical line due to the fact that it is expressed as x = a number. Therefore, we must have the same in the answer. D is the only one that has such an answer.

3 0
3 years ago
There are two flavors of ice cream; strawberry and chocolate. the amount of strawberry ice cream is in the shape of a sphere. th
amid [387]
The complete question is
<span>There are two flavors of ice cream; strawberry and chocolate. the amount of strawberry ice cream is in the shape of a sphere. the amount of chocolate ice cream fills the rest of the cone. the dimensions of the sphere is 6cm and the cone is 12cm.

the figure is not drawn to scale  

A. what is the volume, in cubic centimeters of the right circular cone ?show or explain how you got your answer.
B. the amount of strawberry ice cream is in the shape of a sphere. what is the volume in cubic centimeters of the strawberry ice cream?
C. what is the total volume in cubic centimeters of all the ice creams?
D.the amount of chocolate ice cream fills the rest of the cone. what is the volume in cubic centimeters of the chocolate ice cream?  

we know that
the height of the cone is 12 cm
the diameter of a cone is 6 cm

Part A) </span>what is the volume, in cubic centimeters of the right circular cone? show or explain how you got your answer.

we know that
the volume of a cone=(1/3)*pi*r²*h
r=6/2----> 3 cm
h=12 cm
The volume of a cone=(1/3)*pi*3²*12------> 36*pi cm³-------> 113.04 cm³

the answer part A) is 36*pi cm³  (113.04 cm³)

Part B) the amount of strawberry ice cream is in the shape of a sphere. what is the volume in cubic centimeters of the strawberry ice cream?
volume of a sphere=(4/3)*pi*r³
r=3 cm
volume of a sphere=(4/3)*pi*3³-----> 36*pi cm³------> 113.04 cm³

the answer part B) is 36*pi cm³  (113.04 cm³)

Part C) what is the total volume in cubic centimeters of all the ice creams?
volume of the cone+volume of a hemisphere

36*pi+18*pi-----> 54*pi cm³-------> 169.56 cm³

the answer Part C) is 54*pi cm³ (169.56 cm³)

Part D) .the amount of chocolate ice cream fills the rest of the cone. what is the volume in cubic centimeters of the chocolate ice cream?
volume of a cone-volume of a hemisphere
36*pi-18*pi-----> 18*pi cm³-----> 56.52 cm³

the answer Part D) is 18*pi cm³ (56.52 cm³)

5 0
3 years ago
Which of the following equations represents the area of a sector?
Rina8888 [55]

From the given options we can say that the only one that represents the area of the sector is; A = n/360 * πr²

<h3>What is the Area of the Sector?</h3>

In circles, a sector is said to be a part of a circle made of the arc of the circle together with its two radii. This means that it is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.

The formula for Area of a sector is given as;

θ/360 * πr²

where;

θ is the central angle of the sector

r is radius

Now, looking at the given options we can say that the only one that represents the area of the sector is;

A = n/360 * πr²

where n is the central angle of the sector

Read more about Area of Sector at; brainly.com/question/16736105

#SPJ1

4 0
1 year ago
Sam makes some bread rolls. He gives 2/5 of the bread to his neighbor and 4/9 of the remainder to his cousin. He has 15 tools le
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Answer:

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Step-by-step explanation:

Let x = total number of bread rolls made by Sam. He gives 2/5 of the bread to his neighbor. This means he gave 2/5 × x =

2x/5 bread rolls to his neighbor.

The remainder would be x - 2x/5 =3x/5

He gave 4/9 of the remainder to his cousin = 4/9 ×3x/5=12x/45

=4x/15

He has 15 bread rolls left

Total number of bread rolls = what he has left + what he gave his cousin + what he gave his neighbor

x = 15 + 4x/15 + 2x/5

Taking LCM of 15 and cross multiplying

15x= 225+4x + 6x

15x = 225 +10x

15x-10x = 225

5x = 225

x = 225/5 =45

Sam initially made 45 bread rolls

4 0
3 years ago
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