The masses of four vehicles and the net forces acting on them as they enter a highway are recorded in the table below. Vehicle Mass (kg) Force (N) Sedan 1400 5250 SUV 1900 5250 Truck 2100 5250 RV 2500 5250 Which vehicle has the greatest acceleration as it enters the highway?

Answers

Answer 1

Answer:

if you use Newton's 2nd rule:

F = m* a (force = mass * acceleration)

you can rearrange the terms to:

a = F/m (acceleration = Force/mass)

which will let you solve for acceleration.


Related Questions

In ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°. Find the length of f, to the nearest 10th of an inch.

Answers

In ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°. Find the length of f, to the nearest 10th of an inch.

=10.7

The length of f from the given triangle FGH is 10.7 inches.

What is cosine rule?

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.

Given that, in ΔFGH, g = 7.6 inches, h = 3.2 inches and ∠F=160°.

Here, f² = 7.6² + 3.2² − 2×7.6×3.2×cos160°

f² = 57.76+10.24-48.64×(- 0.9396)

f² = 68+45.70

f² = 113.7

f = √113.7

f = 10.7 inches

Therefore, the length of f is 10.7 inches.

Learn more about the cosine rule here:

https://brainly.com/question/28716982.

#SPJ3

find the fifth term in the sequence that is defined as follows an=2(-1)^n

Answers

Answer:

-2

Step-by-step explanation:

since we're finding the fifth term, n=5

that would make the equation [tex]a_{5}=2(-1)^{5}[/tex]

we can simplify this to [tex]a_{5}=2*(-1)[/tex]

this makes [tex]a_{5}=-2[/tex]

How long will the path be.

Answers

Given:

The side of the square garden is 30ft.

To find:

The length of the diagonal of the square garden.

Solution:

We know that, the length of the diagonal of a square is

[tex]d=a\sqrt{2}[/tex]         ...(i)

Where, a is the the side of the square.

We have,

Side of the square garden = 30 ft.

Putting a=30 in (i), we get

[tex]d=30\sqrt{2}[/tex]

The measure of the diagonal path is [tex]30\sqrt{2}[/tex] ft.

Therefore, the correct option is D.

-2/3 + 3/9 help me please

Answers

Answer:

-0.333333333333

Step-by-step explanation:

Answer:

This will be as a decimal: 0.33333333333

Step-by-step explanation:

0.4 = 2/5. 0.33333333333… =1/3. 0.237 = 237/1000.

Find all of the roots of the following quartic equation:
h(x)= x^4 - 2x^3 - 9x^2 + 18x

Answers

x4)-(2•(x3)))-32x2)+18x
STEP
2
:

Equation at the end of step
2
:

(((x4) - 2x3) - 32x2) + 18x
STEP
3
:

STEP
4
:
Pulling out like terms

4.1 Pull out like factors :

x4 - 2x3 - 9x2 + 18x =

x • (x3 - 2x2 - 9x + 18)

Checking for a perfect cube :

4.2 x3 - 2x2 - 9x + 18 is not a perfect cube

Trying to factor by pulling out :

4.3 Factoring: x3 - 2x2 - 9x + 18

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -9x + 18
Group 2: x3 - 2x2

Pull out from each group separately :

Group 1: (x - 2) • (-9)
Group 2: (x - 2) • (x2)
-------------------
Add up the two groups :
(x - 2) • (x2 - 9)
Which is the desired factorization

Trying to factor as a Difference of Squares:

4.4 Factoring: x2 - 9

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3
Check : x2 is the square of x1

Factorization is : (x + 3) • (x - 3)

Final result :
x • (x + 3) • (x - 3) • (x - 2)

In the following equation, when x=3, what is the value of y? -4x + 3y = 12

Answers

Answer:

The answer is y = 8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

~Hoped this helped~

~Brainly, please?~

please halpppppppppppppp i will mark you brainliest

Answers

Answer:

24n = 312 is the correct equation

Answer:

The top one

Step-by-step explanation:

y+0.4=5.34

y=5.34 - 0.4

y=4.94

Find the measure of angle 4.

Answers

Answer:

80 degrees because if you look at 1 its 62 plus 18

pls help asap!!!!!!!!!!! points will be a lot! plssssss

Answers

Step-by-step explanation:

(n-m) out of n

not sure if this is correct or something....

Answer:

1 - m/n

n-m/m

Step-by-step explanation:

Two events are said to be complementary when one event occurs if and only if the other does not. The probabilities of two complimentary events add up to 1.

Can someone solve this as soon as possible please

Answers

Answer:

The ratio for this problem is 9 : 100

Step-by-step explanation:

Enjoy

16:25 simplified (ratio maths)

Answers

Answer:

its simplifed as much as it can.

Step-by-step explanation:

Answer:

its already simplified the most but as a decimal its 0.64

Step-by-step explanation:

(3x-5)=16
with working​

Answers

(3x-5)=16
+5. +5
3x=21
divide both sides by 3
x=7

can some one helppppppppppp

Answers

Answer:

66 ft

Step-by-step explanation:

L ∝ n

L = kn , k -> number of sections

Length of 3 sections=  18 ft

3n = 18

 n = 18/3

n = 6 ft

Length of 1 section of fence = 6 ft

Length of 11 sections of fence = 6* 11 = 66 ft

^^^^^What they said is correct:)

The cylinder has a volume of 12pi cubic inches and a diameter of 4 inches. Find the cylinders radius and height. The cylinders radius is______ inches and it’s height is_____ inches.

Answers

Answer:

         The cylinder's radius is 2 inches                and it’s height is 3 inches.

Step-by-step explanation:

A diameter is two radiuses long, so the cylinder's radius is:

R = 4 in ÷ 2 = 2 in

The volume of cylinder is: V = πR²×H

Therefore:

               12π = π×2²×H

               12 = 4H

                H = 3 in

The direct distance from a starting point to a finish line is 15 miles. Unfortunately, you can't take the direct route. If you travel 12 miles east, how many miles north must you travel to reach the finish line? 10 19 9

Answers

Answer:

9 miles

Step-by-step explanation:

From Pythagoras :

Opposite^2 = Hypotenus^2 - Adjacent^2

The direct route = 15 miles = hypotenus

x² = 15^2 - 12^2

x² = 225 - 144

x² = 81

x =. Sqrt(81)

x = 9

Hence, you must travel 9 miles north

Answer:

9 miles :)

Step-by-step explanation:

a^2 + 12^2 = 15^2

a^2 + 144 = 225

a^2 = 81

a = 9

Find four consecutive integers such that 8 times the sum of the first and the third is 40
greater than 10 times the fourth.

Answers

The consecutive integers are 9,10,11,12.

This figure shows the dimensions of a right triangular prism.
What is the volume of the right triangular prism in cubic feet?
O 270 ft
0 450 ft
O 2025 ft3
O 4050 ft
PLEASEE HELP ILL GIVE BRAINLIEST

Answers

Answer: 2025

Step-by-step explanation: first you multiply 30x15x9= 4050 but you keep going and then divide 4050/2= 2025 and that would be your answer

                                           

                                                      A=2025

The volume of the right triangular prism in cubic fee should be considered as the 2025.

Calculation of the volume of the right triangular prism:

here first we have to multiply the 30, 15 and 9 with each other so it comes 4050

Now we have to half the 4050 so it comes 2025

hence, The volume of the right triangular prism in cubic fee should be considered as the 2025.

Learn more about volume here: https://brainly.com/question/24422556

Someone help me please...

Answers

Ac is 8
Ab is 15
Bd is 8
CD is 15

Step-by-step explanation:

If you dilate a image by a factor of 2 you are multiplying each side by 2.

Side AC = Original AC x 2 = 8 x 2 = 16

Side AB = Original AB x 2 = 15 x 2 = 30

Side BD = Original BD x 2 = 8 x 2 = 16

Side CD = Original CD x 2 = 15 x 2 = 30

PLZZZ GIVING BRAINLIST

Answers

Answer:

[tex] \dfrac{-7600}{3} [/tex]

Step-by-step explanation:

The plane is descending, so the change in height is a negative change.

rate of descent = (change in height)/time

rate of descent = (new height - old height)/time

rate of descent = (7400 ft - 15000 ft)/(3 min)

rate of descent = (-7600 ft)/(3 min)

Answer: [tex] \dfrac{-7600}{3} [/tex]

HELPPPPPPPPEEEEEEEEEEEE

Answers

hope it's helpful ❤❤❤

THANK YOU.

Please help!!! Im very confused, giving brainleist

Answers

yellow equals 13
blue equals 43
Top 13 bottom 43 I’m pretty sure


A number cube with faces numbered 1 through 6 is rolled 15 times. In theory, how many times would you expect to roll a number less than five?
A: 2.5
B: 5
C: 10
D: 12.5

Answers

Answer:

dude im retaking the test and we have the same teacher,lol

Step-by-step explanation:

7. QR =
8. Z
P
24x - 2
Q 6x +14 R
102
->

Answers

Answer:

7Q ^12

Step-by-step explanation:

Porque se se suman la cuestione y porque solo me estás pagando con cinco puntos

Please help, I need the answer fast, so I will give brainliest for a correct answer.

Answers

Answer:i think the first one is false

Step-by-step explanation:

Tickets to the school play are $10 for adults, $4 for students and $3 for senior citizens. There were 670 tickets sold for Thursday's show, worth $5615. If there were 65 tickets sold to senior citizens, how many tickets were sold to adults and how many were sold to students?​

Answers

Answer:

500

105

Step-by-step explanation:

This question would be solved using a simultaneous equation

let

a = number of adults who bought the ticket

b = number of students who bought the ticket

c = number of senior citizens who bought the ticket

a + b + c = 670 eqn 1

10a + 4b + 3c = 5615 -- eqn 2

If 65 senior citizen bought the ticket, substitute for c in equation 1 and 2

a + b + 65 = 670

a + b = 670 - 65

a + b = 605 eqn 3

10a + 4b + 3(65) = 5615

10a +4b = 5420 eqn 4

multiply equation 3 by 10 to derive equation 5. Subtract eqn 4 from eqn 5

10a + 10b = 6050 eqn 5

          -

10a + 4b = 5420 eqn 4

= 6b = 630

b = 105

Students who bought the ticket are 105

Substitute for b in eqn 3

a + 105 = 605

a = 500

Adults who bought the ticket are 500

Giving brainliest to the most accurate

Answers

[tex] \huge{Answer}[/tex]

What is the value of x?

Triangle V P M. Angle V is 47 degrees, angle P is 85 degrees, and angle M is x degrees.

degrees

Answers

Answer:

48

Step-by-step explanation:

I know I'm super late, so so sorry but for another in the future, it's 48

Answer:

48

Step-by-step explanation:

(0, -9); slope = 4
Write in slope intercept form

Answers

Answer: y = 4x-9

Step-by-step explanation: We can follow the equation y=mx+b. Where we know m = 4 and b(the y-intercept) = -9. So the answer would be y=4x-9.

y=15x-40 when x = 3 Function and Solution

Answers

Answer:

5

Step-by-step explanation:

Just substitute by the value of x

y = (15 * (3)) - 40 = 45 - 40 = 5

Answer:

the answer is 5

Step-by-step explanation:

15×3=45 then subtract 40 and your get 5

how do i calculate the range? {mean, median, mode, range} pls help ASAP
Also, can you tell me in the comments how to delete an answer or remove it?

Answers

Answer:

The anwer is below.

Step-by-step explanation:

To calculate mean a.k.a average of something is when you add all of the numbers in the set and then multiply by the number of numbers there were.

an example : 4, 5,6,7 = 4+ 5 + 6 + 7 + 3 = 25 divided by 5 ( the number of numbers there were ) which is 5 so the mean is 5

To calculate the median you have to organize the set of numbers from least to greatest choose the middle number and that's the median, If there is an even number of numbers in the set then you add the two middle numbers and divide it by 2.  

an example : 5,7, 8, 4 =  4, 5, 7 , 8 = the middle numbers = 5 + 7 = 12 divided by 2 = 6

To calculate the mode you have to see which numbers comes more often in the set of numbers, If there are two different numbers that come often even if one is higher include them in the mode.

An example - 5,6,6,6,6,7,7,7. The mode in this is 6 but 7 comes often to so if your teacher tells you to include more than one mode in these kinds of situation you include 7 or in general you don't have to

To calculate the range you choose the greatest and the lowest numbers and substract the highest to the lowest number in the set.

An example  5, 6, 7 , 9 , 8 = 9 ( the highest number in this set) - ( substraction) 5 ( the lowest number in this set) and 9 - 5 = 4 so the range is 4

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