ar travels on a straight, level road. (a) Starting from rest, the car is going 38 ft/s (26 mi/h) at the end of 4.5 s. What is the car's average acceleration in ft/s²?​

Answers

Answer 1

The car's average acceleration is 8.44 ft/s².

Acceleration is defined as the rate of change of velocity per unit time. It is usually denoted by the letter a.

Here, we are given that a car travels on a straight road. Starting from rest, the car is going at 38 ft/s (26 mi/h) at the end of 4.5 s.

Acceleration of an object can be calculated using the given formula-

acceleration = velocity/ time

Here, the velocity of the car will be 38 ft/s

and the time is equal to 4.5 seconds.

Thus, putting these formulas in the equation, we get-

acceleration of the car = 38/ 4.5

= 380/ 45

= 8.44

Thus, the car's average acceleration is 8.44 ft/s².

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Related Questions

–5x – 10 = 2 – (x + 4)
Please help me step by step
Thanks!

Answers

Answer:

x = -2

Step-by-step explanation:

Solve for x:

-5 x - 10 = -(x + 4) + 2

-(x + 4) = -x - 4:

-5 x - 10 = (-x - 4) + 2

Grouping like terms, -x - 4 + 2 = -x + (2 - 4):

-5 x - 10 = (-x + (2 - 4))

2 - 4 = -2:

-5 x - 10 = -x + -2

Add x to both sides:

x - 5 x - 10 = (x - x) - 2

x - x = 0:

x - 5 x - 10 = -2

Grouping like terms, x - 5 x - 10 = (-5 x + x) - 10:

((-5 x + x) - 10) = -2

x - 5 x = -4 x:

-4 x - 10 = -2

Add 10 to both sides:

(10 - 10) - 4 x = 10 - 2

10 - 10 = 0:

-4 x = 10 - 2

10 - 2 = 8:

-4 x = 8

Divide both sides of -4 x = 8 by -4:

(-4 x)/(-4) = 8/(-4)

(-4)/(-4) = 1:

x = 8/(-4)

The gcd of 8 and -4 is 4, so 8/(-4) = (4×2)/(4 (-1)) = 4/4×2/(-1) = 2/(-1):

x = 2/(-1)

Multiply numerator and denominator of 2/(-1) by -1:

Answer: x = -2

Answer:

Step-by-step explanation:

Distribute:

-5x - 10 = 2 - (x + 4)

-5x-10=2-x-4

x = -2

Evaluate the expression when m = 7 and n = 23.
63
n
M

Answers

Answer:

If it is M x N then it is 161.

If it is 63 x M x N then it is 10,143.

Given −47.01 × 6.2, find the product.

−291.462
−282.02
−37.608
29.1462

Answers

Step-by-step explanation:

-282.02 its korrect now

-1 5/6 • 6 1/2

Please help I have a math test soon I don’t know how do this

Answers

Answer:

-143/12  or -11 11/12

Step-by-step explanation:

Convert each to improper fraction and multiply straight across (numerator times numerator, denominator times denominator)

-1 5/6 x 6 1/2

= -11/6  x  13/2

= -143/12

Answer:

-143/12 as a fraction and 11.916666666... (six repeating) as a decimal

Step-by-step explanation:

Turn into improper fractions.

(-6/6 + -5/6) = -11/6

2/2 + 2/2 +2/2 + 2/2 +2/2 + 2/2 + 1/2 = 13/2

-11/6 times 13/2

-11 times 13 = -143

6 times 2 = 12

-143/12 = 11.916666666... (six repeating)

If 65% of a number is 39 and 35% of the same number is 21, find 100% of that number.​

Answers

Answer:

60

Step-by-step explanation:



divide 39 by 65%,

you will get
39 / ( 65/ 100)
= 39 * (100/65)
= 39 * (20 /13)
= 3*20
= 60

The community college theater department sold three kinds of tickets to its latest play production. The adult tickets sold for $15, the student tickets for $10 and the child tickets for $8. The theater department was thrilled to have sold 250 tickets and brought in $2,825 in one night. The number of student tickets sold is twice the number of adult tickets sold. How many of each type did the department sell?

Answers

Using a system of equations, the amounts of each ticket sold are given as follows:

Adult: 75.Student: 150.Child: 25.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

Variable x: number of adult tickets sold.Variable y: number of student tickets sold.Variable z: number of child tickets sold.

The theater sold 250 tickets, hence:

x + y + z = 250.

The theater brought in $2,825, hence, considering the value of each ticket:

15x + 10y + 8z = 2825.

The number of student tickets sold is twice the number of adult tickets sold, hence:

y = 2x.

Replacing in the first two equations:

3x + z = 250.35x + 8z = 2825.

Multiplying the first equation by -8 and adding with the second, we have that:

11x = 825

x = 825/11

x = 75.

Then:

y = 2x = 2(75) = 150.z = 250 - 3x = 250 - 3(75) = 25.

The amounts of each ticket sold are given as follows:

Adult: 75.Student: 150.Child: 25.

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Solve each equation by taking square roots
8b² = 200

Answers

Answer:

b = ± 5

Step-by-step explanation:

8b² = 200 ( divide both sides by 8 )

b² = 25 ( take square root of both sides )

b = ± [tex]\sqrt{25}[/tex] = ± 5

b = - 5 , x = 5

When Roger builds bird houses, he spends much of his time measuring. He needs to know the exact middle of these two measurements: 1 1/8 inches and 3 1/4 inches

Answers

Answer:

write all the prime number between 7 and 15

Calculate the density of a piece of
wood with a mass of 80g and a
volume of 90cm³

Answers

Answer:

0.89 g/cm³

Step-by-step explanation:

used the formula d=M/V

M is mass which is = 80g

V is volume which is = 90cm³

d = 80/90

d = 0.89 g/cm³

Can someone please help mee (20 points
brainliest!!!)

Answers

The first question is 20.5 million gallons

Given that x² - 6x + 1 = (x-a)² - b for all values of x, (i) find the value of a and the value of b.​

Answers

Answer:

(x-3)^2 - 8, so a is 3 and b is 8

Step-by-step explanation:

use completing the square

hope this works :)

k/3+16 algebraic expression

Answers

Answer: -48

Step-by-step explanation:

k/3 + 16

find the roots by factoring

which leads to -48

k/3 + 16

To add or subtract expressions, expand them so their denominators are the same. Multiply 16 by 3/3.

                   k/3 + 16 × 3/3

Since k/3 and 16 × 3/3 have the same denominator, we join their numerators to add them.

                          k + 16 × 3/3

We perform the multiplications in k+16×3.

                                         k + 48/3

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Need a good explanation. Struggling with derivative basics.

Answers

5 IS THE DERIVATIVE OF k(x)= 5x at x=10

WHAT ARE DERIVATIVES ?

The rate at which a function alters in relation to a variable is known as a derivative in mathematics. Problems involving calculus and differential equations need the use of derivatives.

CALCULATION

f(x)=5x

∴f'(10)=f(10+h)−f(10)h

=5(10+h)−5(10)

= h→0/h

=[tex]\lim_{h\to 0}[/tex]5h/h

=[tex]\lim_{h\to 0}[/tex]5

=5.

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At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path. The bicyclist heading north is riding 8 km/hour faster then the bicyclist heading south. At 11:00, they are 40 km apart. Find the two bicyclists' rates.

Answers

Answer:a

Step-by-step explanation:its a

Order the following numbers from greatest to least: 7.321, 7.3, 7.065, 7.65

Answers

answer:

7.65, 7.321, 7.3, 7.065

explanation:

on a number line, these numbers would be in order as shown above from right to left (decreasing value)

Answer:The order for the given decimal numbers, from the greatest to the least, is: D. 7.65, 7.321, 7.3, 7.065.

Step-by-step explanation:

Order the following numbers from greatest to least: 7.321, 7.3, 7.065, 7.65

7.065, 7.3, 7.321, 7.65

7.3, 7.321, 7.065, 7.65

7.321, 7.3, 7.65, 7.065

this is correct--> 7.65, 7.321, 7.3, 7.065

(05.03)bev has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. calculate the area of the polygon. be sure to show all your work and explain your answer. six-sided polygon that includes two isosceles right triangles, one with height and base of 15 feet, the other height and base of 4 feet, and one rectangle measuring 25 feet by 4 feet.

Answers

The area of the six-sided polygon = 220.5 square ft.

Given that the six-sided polygon consists of two isosceles triangles and a rectangle. So the total area to be cut will be equal to the sum of areas of the triangles and the rectangle.

First triangle has base = 15 ft and height = 15 ft

Area of a 1st triangle = 1/2 x base x height

                             = 1/2 x 15 x 15

                             = 112.5 square feet

Second triangle has base = 4 ft and height = 4 ft

Area of the 2nd triangle = 1/2 x base x height

                                        = 1/2 x 4 x 4

                                        = 8 square ft

The rectangle has length = 25 ft and width = 4 ft

Area of the rectangle = length x width

                                    = 25 x 4

                                    = 100 square ft

So the total area of the six-sided polygon = 112.5 + 8 + 100

                                                                      = 220.5 square ft.

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sixteen slices of pizza are distributed in a society of four people so that one person receives eight slices, the second person receives six slices, the third receives two, and the last receives no pizza. if no person wants to give up the pizza he or she has but they all agree that the fair outcome would be the one where each person gets four slices, then could be improved at the expense of .

Answers

If all agree that the fair outcome would be the one where each person gets four slices, then could be improved at the expense of each person equally.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

Here,

If all agree, that each of one should get an equal number of slices, then it can be concluded that each of them should pay an equal amount for the 4 pizzas.

Thus, if all agree that the fair outcome would be the one where each person gets four slices, then could be improved at the expense of each person equally.

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W-2 The diameter of a circle is 4 units.
What is the radius of the circle?



I don't understand but it's due today help

Answers

Answer:

2 units

Step-by-step explanation:

radius = diameter/2 -> r = 4/2 = 2 units

A cuboid has a length of 6 cm, a width of 7 cm
and a height of 5 cm.
a) Work out the surface area of this cuboid.
b) Three of these cuboids are stacked on top
of each other to form a cuboid-shaped tower.
The height of this tower is 15 cm.
What is the surface area of this tower?
Give your answers in cm².

Answers

a) Surface area of this cuboid = 214 cm²

b) Surface area of the tower   = 474 cm²

Dimensions of cuboid :

  Length (l) = 6 cm

  Width (w) = 7 cm

 Height (h) = 5 cm

The Surface Area of Cuboid (SA) = 2(lw + lh + hw)

                                            SA = 2(6×7 + 6×5 + 5×7)

                                                         = 2(42 + 30 + 35)

                                                         = 2×107

       The Surface Area of Cuboid  = 214 cm²

Dimensions of tower :

Length (l) = 6 cm

  Width (w) = 7 cm

 Height (h) = 15 cm

The Surface Area of Tower = 2(lw + lh + hw)

                                               = 2(6×7 + 6×15 + 15×7)

                                               = 2(42 + 90 + 105)

                                               = 2 × 237

The Surface Area of Tower = 474 cm²

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Find the distance between points H and Q.
4
0
H 2
+4
4
Q
6
8
10

Answers

I think it’s it would be 3

3x+2=2x+13 all divided by 3

Answers

Answer:

x = 11

Step-by-step explanation:

following the clarification in the comment

3x+2=2x+13 all divided by 3  (both side)

(3x + 2)/3 = (2x + 13)/3

3x + 2 = 2x + 13

x = 13 - 2

x = 11

--------------------

check

(3 * 11 + 2)/3 = 2 * 11 + 13)/3

3 * 11 + 2 = 2 * 11 + 13

35 = 35

the answer is good

the three lines represent the distance traveled, in kilometers, by three cyclists. which cyclist is the slowest? choose 1 answer:

Answers

So Cyclist marked at O position is slowest.

Interpreting graphs involves understanding what the shape of a curve represents in real life situations. We should also understand what slope means and how to interpret what a high or low slope value represents. An understanding of plotting points is also important.

We have been given an image in terms of graph that is attached

We all know that velocity is the directional speed of a object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time and it can be written as Velocity = [tex]\frac{S}{T}[/tex]

So position at N: V= [tex]\frac{100}{4}[/tex]= 25km/h

So position at M: [tex]V= \frac{80}{5}[/tex] = 16Km/h

So position at O: x[tex]V= \frac{80}{5}[/tex] = 12Km/h    

So as we all know 12<16<25

So O cyclist is slowest one with 12Km/h speed

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what multiplication equation can you use to find 5 divided by 1/3

Answers

The multiplication equation to find 5 divided by 1/3 is 5 x 3 = 15.

What is division?

The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.

At an elementary level the division of two natural numbers is, among other possible interpretations, the process of calculating the number of times one number is contained within another.

Unlike the other basic operations, when dividing natural numbers there is sometimes a remainder that will not go evenly into the dividend.

Division has two parts dividend and divisor.

Division is not commutative, meaning that a / b is not always equal to b / a.

Division is also not, in general, associative.

Division is traditionally considered as left-associative.

Division is right-distributive over addition and subtraction.

Division is shown in algebra and science by placing the dividend over the divisor with a horizontal line, also called a fraction bar, between them. For example, "a divided by b" can written as:

a/b

Now it is given that,

5 divided by 1/3

This can be expressed as,

5 divided by 1/3 = 5 ÷ 1/3

Since to convert the division of fraction into multiplication, we reciprocate the fraction

So, applying division we get,

5 ÷ 1/3 = 5 x 3

So, the multiplication equation is,

5 x 3

Now multiplying 5 and 3 we get,

5 x 3 = 15

this is the required multiplication equation of 5 divided by 1/3.

Thus, the multiplication equation to find 5 divided by 1/3 is 5 x 3 = 15.

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The sum of three consecutive odd integers is 153. What is the value of the largest of the integers?
Help me pls

Answers

the value of largest integer when the sum of 3 consecutive odd integers is 153 is 53.

We know that odd consecutive numbers means the difference between the numbers will be 2

So, let the first odd number be x

Second number will be = x + 2

Third number will be = x + 2 + 2 = x + 4

Now, we are given that, the sum of these odd integers is 153

So, we get the equation as:

x + x + 2 + x + 4 = 153

3 x + 6 = 153

3 x = 153 - 6

3 x = 147

x = 147 / 3

x = 49

Largest integer = x + 4 = 49 + 4 = 53

Therefore, we get that, the value of largest integer when the sum of 3 consecutive odd integers is 153 is 53.

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in a famous experiment carried out in 1882, michelson and newcomb obtained 66 observations on the time it took for light to travel between two locations in washington, d.c. a few of the measurements (coded in a certain manner) were 31, 23, 32, 36, −2, 26, 27, and 31.

Answers

Possibly measurement error are recording error, differences in environmental conditions at the time of measurement.

Given in a famous experiment carried out in 1882, Michelson and Newcomb obtained 66 observations on the time it took for light to travel between two locations in Washington, D.C. A few of the measurements (coded in a certain manner) were 31, 23, 32, 36, 22, 26, 27, and 31.

An error in measurement is the difference between a taken measurement and the known actual value (the accepted true measurement) of what is being measured.

Here experiment was conducted to study the time taken for light to travel from one place to another place.

From the given problem obtained 66 observations are obtained.

Since the experiment conducted in different times, the density of the material changes with temperature/environmental conditions which may result the difference in measurement.

So possibly measurement error, recording error, differences in environmental conditions at the time of measurement, etc.

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So possibly measurement error, recording error, differences in environmental conditions at the time of measurement

Given In a famous experiment carried out in 1882, Michelson and Newcomb obtained 66 observations on the time it took for light to travel between two locations in Washington, D.C. A few of the measurements (coded in a certain manner) were 31, 23, 32, 36, 22, 26, 27, and 31.

Here experiment was conducted to study the time taken for light to travel from one place to another place.

From the given problem obtained 66 observations are obtained.

Since the experiment conducted in different times, the density of the material changes with temperature/environmental conditions which may result the difference in measurement.

So possibly measurement error, recording error, differences in environmental conditions at the time of measurement, etc.

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21124

What is the scale factor of the dilation?

Answers

Answer:

The scale factor is 3.

Step-by-step explanation:

9÷3=6÷2

3=3

this makes the scale factor be 3.

Solve the system using an augmented matrix :)

Answers

Answer:

x = 2

y = 5

Step-by-step explanation:

-x - 3y = -17

2x - 6y = -26

--------------------

(-x - 3y = -17) × 2

-2x - 6y = -34

-------------------------

-2x - 6y = -34

2x - 6y = -26

-------------------------

       -12y = -60

       ÷-12      ÷-12

-------------------------------

               y = 5

-x - 3y = -17

-x - 3(5) = -17

-x - 15 = -17

    +15 + 15

--------------------

-x = -2

÷-1  ÷-1

-----------

x = 2

I hope this helps!

If JK = 3x, KL = 8, and JL = 5x, what is JK?

Answers

The value of JK is 12

How to determine the value

From the diagram shown, we can see that;

Line JL = 5xLine JK = 3xLine KL = 8

But line JL is the line with JK and KL as the line segments and K the midpoint between J and K

This can be represented as;

JK + KL = JL

substitute the values into the equation, we have;

3x + 8 = 5x

collect like terms

3x - 5x = -8

subtract like terms

-2x = -8

makes 'x' the subject of formula

x = -8/-2

x = 4

But JK = 3x = 3(4) = 12

Thus, the value of JK is 12

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d the slope of the line that p
through these two points.
(2, -3); (6,4)
Simplify completely.
[2]

Answers

Answer:

m = [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

Pre-SolvingGiven

We are given the points (2, -3), and (6,4), and we want to find the slope through these 2 points.

Formulas

The formula for the slope (m) is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points.

Even though we have 2 points (as stated in given), let's label their values to help avoid any confusion and mistakes.

[tex]x_1=2\\y_1=-3\\x_2=6\\y_2=4[/tex]

Solving

We can substitute the values of [tex]x_1, y_1, x_2,[/tex] and [tex]y_2[/tex] into the formula to find the slope. Remember that the formula has subtraction.

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{4--3}{6-2}[/tex]

Simplify.

m = [tex]\frac{4+3}{6-2}[/tex]

Add/subtract.

m = [tex]\frac{7}{4}[/tex]

The slope of the line is [tex]\frac{7}{4}[/tex].

Topic: slope

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Sydney measured a line to be 3.8 inches long. If the actual length of the line is 3.6
inches, then what was the percent error of the measurement, to the nearest tenth of a
percent?

Answers

Answer:

5.5%

Step-by-step explanation:

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