A car is travelling with uniform acceleration along a straight road. The road has marker posts every 100m. When the car
passes one post, it has a speed of 10ms-and, when it passes the next one, its speed is 20ms-1.
What is the car's acceleration?
A 0.67ms-2
B 1.5ms-2
C 2.5ms-2
D 6.0ms?

Answers

Answer 1

Answer:

(B)

Step-by-step explanation:

v^2 = v0^2 + 2ax

a = (v^2 - v0^2) / 2x

= (20^2 - 10^2) / 200

= 1.5 m/s


Related Questions

Use the long division method to find the result when 3x^3+23x^2+23x+6 is divided by 3x+2.

Answers

Answer:

x^2+7x+3 R0

Step-by-step explanation:

3x+2 | 3x^3+23x^2+23x+6

        - 3x^3+2x^2                    (x^2)

_____________________

                    21x^2+23x+6

                  - 21x^2+14x           (7x)

______________________

                                 9x+6

                               - 9x+6      (3)

_________________________________

                                        0     | x^2+7x+3

Therefore, your quotient is x^2+7x+3

Please help me thank you !!!

Answers

Answer:

1. 19.8 or 20 dollars

2. 91.6 or 90 dollars

3. 108.9 or 110 dollars

4. 8.98 or 9 dollars

5. 2.91 or 3 dollars

i can't see 6 but just divide the total cost by how many items

Step-by-step explanation:

Shirley is 21 years older than Laura. In six years, Shirley will be twice as old as Laura. How old are they each now? Solve by first creating a system of equations and then solving the system of equations. Be sure to define clearly each variable used.

Answers

Answer:

7 1/4 years old I think

Step-by-step explanation:

Which expression has a value greater than 43 ?

PLEASEEE HELP!

Answers

Answer:

7^2

Step-by-step explanation:

7*7=49

4^3=43

49>43

I NEED HELP AGAIN YALL

Answers

Answer: Y=-5x+3

Step-by-step explanation:

first slope= 0 on the x axis so -2-3=-5

to get 3 you can do 4-1=3 or 7-4 or even 1-(-2)!

Correct answer: [tex]y = 3x -5[/tex]

You don't have to use the whole table in order to find equation. You can use just two points on the table to start.

In order to find the slope, the formula for that is: [tex]\frac{y_{2}-y_{1}}{x_{2} - x_{1}}[/tex]. So, we can start with points (1, -2) and (2, 1). Label (1, -2) as [tex]x_{1}[/tex] and [tex]y_{1}[/tex]; label (2, 1) as [tex]x_{2}[/tex] and [tex]y_{2}[/tex]. Now we can plug the numbers into the formula.

[tex]\frac{1-(-2)}{2 - 1}[/tex] → [tex]\frac{3}{1}[/tex] → [tex]3[/tex] is the slope.

To find the y-intercept, substitute (1, -2) into [tex]y = 3x + b[/tex].

[tex](-2) = 3(1) + b[/tex]

[tex]-2 = 3 + b[/tex]

[tex]-3[/tex]   [tex]-3[/tex]

________

[tex]b = -5[/tex] is the y-intercept.

Thus, the slope-intercept equation is [tex]y = 3x -5[/tex]. Hope this helps :) Let me know if you have any other questions related to this problem!

FREE POINT GIVE AWAY!!!!!! Just solve my equation 5*4+2=? (I already know the answer)

Answers

Answer:

22

Step-by-step explanation:

I did the math in my head sooo if it's wrong I know why

determine the discount between the point(-4,2) and the line 4y=3×+6​

Answers

Answer:

d = 14/5

Step-by-step explanation:

The point (-4,2) means that;

At x = -4, y = 2

Now general form of a linear equation is;

Ax + By + C = 0

We are given;

4y = 3x + 6​

Rearranging to the form of a linear equation gives;

3x - 4y + 6 = 0

Thus, A = 3, B = -4 and C = 6

Thus, at point (-4,2), distance between them is;

d = (3(-4) - 4(2) + 6)/√(3² + (-4)²)

d = -14/5

We will take the absolute value.

Thus; d = 14/5

Solve the system of equations
-2x-3y=21
-6x+2y
Part 1: Explain the steps you would take to solve the system by eliminating the x-terms.
Part 2: Explain the steps you would take to solve the system by eliminating the y-terms.
Part 3: Choose either of the methods described in parts 1 or 2 to solve the system of equations. Write you answer as an ordered pair. Show you work.

Answers

Answer:

[tex] \huge\mathcal\colorbox{red}{\color{pink}{ᶛɲƧཡэʀ}}[/tex]

Value of x & y when

equations are

2x-3y=-21-6x+2y= 7

is

x = 1.5

y = 8

The class president won the election by a vote of 3 to 2 her opponent received 356 votes. How many votes did the winner receive?

Answers

Answer:

534

Step-by-step explanation:

A salesman sold 345
iPods this month and
214 iPads. If he sells this
amount of iPods every
month for the next 12
months, how many iPods
will he sell?

Answers

Answer:

2568

Step-by-step explanation:

214x12=2568

4,140 is how many iPods he will sell in 12 months

You are buying the new iphone 7 that originally costs $299. Verizon is running a sale that all phones are now 30% off. The sales tax is 7% in the state of New Jersey. What is the total you will pay for the ipone

Answers

Answer:

$233.95

Step-by-step explanation:

299 x 0.7 = 209.30

209.30 x 1.07 = 233.95

In ancient Egypt, mathematicians and architects used 10 as an approximation for π . The circular floor of an ancient arena is paved with tiles. The floor of the arena has a radius of 100 feet.

Answers

What is the question

Ahmad will spend at most $30 on gifts so far he has spent $13 what are the possible additional amounts he will spend?

Answers

Answer:

$15

Step-by-step explanation:

Budget = $30

Spent = $13

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

30 - 15 = $15

Ahmad will spend $15 additional dollars.

4. Thunder Bob's race car traveled at an average speed of 195
miles per hour during a recent championship race. If the
distance traveled (d) varies directly as the time raced (t),
identify which function accurately models the race car's
average distance traveled at any given time during the race.

Answers

Don’t trust links it don’t work

7) WILL MAKE BRAINLIEST

write the slope-interception form of the equation of each line.

Answers

the answer should be A, y=2x+1

Which number is the largest ?
-0.65, -0.622, -5/8

Answers

Answer: 0.622

step-by-step explanation

Answer:

-0.622.

Step-by-step explanation:

Convert -5/8 to a decimal:

= -0.625.

So the largest number is -0.622.

30 POINTS, NO LINKS, AND ANSWER RIGHT.

-15 = 8z + 7. what is the value of z

Answers

It would be -11 over 4 or -2.75


Indicate in standard form the equation of the line passing through the given points.
X(0,6). Y(5,6)

Answers

Answer:

y = 6

Step-by-step explanation:

Let the y-intercept form of the equation of the line is,

y = mx + b

Here, m = Slope of the line

b = y-intercept

Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

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

Slope of the passing through (0, 6) and (5, 6) will be,

m = [tex]\frac{6-6}{0-5}[/tex]

m = 0

Equation of the line with m = 0 will be,

y = 0 + b

y = b

Since, line passes through (0, 6),

By substituting the values in the equation,

b = 6

Therefore, standard equation of the line passing through (0, 6) and (5, 6) will be,

y = 6

please answer ive been waiting half hour

Every plant bloomed in the spring. The simple subject of this sentence is _____.
every
every plant
plant
bloomed

Answers

i’m pretty sure it’s plant

The subject is the idea,being or thing being discussed.

Should be "plant". Its the Main thing being discussed.

Helppppp plsss!!!!!!!!!!!

Answers

Answer:

22 inch is the diameter because d =2r

please help due in an hour​

Answers

Answer:

x=30°

Step-by-step explanation:

3x-10=2x+20

3x-2x=20+10

x = 30°

just x, no y in the photo

X= 30 3x-10=2x + 20.SO X=30

2.52343454 + -34355343.99
NEED HELP PLZZZZZZ ASAP

Answers

Answer:

5555555555555555555555555555555555555 trust

Step-by-step explanation:

do this to least to greatest risk how plz someone​

Answers

Answer:

3,2,4,1,5

Step-by-step explanation:

a cashier at the supermarket has $685 in 4 different denomination bills in her register at the end of the day. the number of $5 bills was 10 more than 4 times the amount of $10 bills. the register contained as many $1 bills as $5 bills and $10 bills combined, and two $50 bills. how many bills of each kind did the register contain?

Answers

9514 1404 393

Answer:

85 ones70 fives15 tens2 fifties

Step-by-step explanation:

Let a, b, c, d represent the numbers of $1, $5, $10, and $50 bills, respectively. The problem statement tells us ...

  a +5b +10c +50d = 685 . . . . . total amount of cash

  b = 10 +4c . . . . . . . . . . . . the number of fives is 10 more than 4 times tens

  a = b+c . . . . . . . . . . . as many ones as fives and tens combined

  d = 2 . . . . . . . . . . the register contained 2 fifty-dollar bills

__

Substituting for 'a', then for 'b', we have ...

  (b+c) +5b +10c +50d = 685

  6(10 +4c) +11c +50d = 685

  60 +35c +50d = 685

Substituting d=2 and subtracting 160 gives ...

  35c = 525

  c = 15

  b = 10 +4c = 10 +4(15) = 70

  a = b+c = 70 +15 = 85

The register contained ...

85 ones70 fives15 tens2 fifties

Which angle is vertical to AFC?

Answers

Pretty sure the answer is DFE

Select all values of x that make the inequality true: (x ≥ -1)
A. -4
B. -2
C. -1
D. 0
E. 1
F. 4

Answers

Answer:

c,d,e,f

Step-by-step explanation:

mark me brainliest

Select all values of x that make the inequality true: (x ≥ -1)

A. -4

B. -2

C. -1

D. 0

E. 1

F. 4

Answer:

C, D, E, F

Step-by-step explanation:

hope this helps! #HappyCheating

Valerie and Bret have a total of 21 dog show ribbons. Bret has twice as many ribbons as Valerie. How many ribbons does each have? Plz help

Answers

Answer11

Step-by-step explanation:


Line A passes through the points (-3,2) and (-23,54). Line B is parallel to line A and passes through the point (-8,0). Consider
the equation of line B in the form y= a (x + b), where a and b are rational numbers.

Answers

Answer:

Line A passes through (-3, 2) and (-23, 54)

slope of  line A will be

               [tex]m_{A} =\frac{y_{2}-yx_{1} }{x_{2}- x_{1} } = \frac{54-2}{-23+3} = \frac{52}{20}= \frac{13}{5}[/tex]

Equation of line A will be

             [tex](y - y_{1}) = m_{A}(x-x_{1} )\\\\(y - 2) = \frac{13}{5}(x -(-3))\\\\(y - 2) = \frac{13}{5}(x +3))\\ \\\\5((y - 2) = 13(x +3))\\\\5y -10 = 13x + 39\\\\5y = 13x + 49[/tex]

Given line B is parallel to line A, So slope of A and B

                       [tex]m_{A} \cdot m_{B} = 1[/tex]

 slope of line B will be

                       [tex]\frac{13}{5}\cdot m_{B} = 1\\\\m_{B} = \frac{5}{13}[/tex]

Also given line B passes (-8, 0), therefore the equation of line B

                  [tex](y-y_{B}) = m_{B}(x-x_{B} )\\\\(y - 0) = \frac{5}{13}(x + 8)\\\\y = \frac{5}{13}(x+8)\\\\[/tex]

Therefore,

             [tex]a = \frac{5}{13} \ \ and \ b = 8[/tex]

What is the solution to this equation?

Answers

Answer:

B. ½

Step-by-step explanation:

9^x -1 = 2

9^x = 2+1

9^x = 3

9^x = √9

9^x = 9^½

x=½

Can someone please Help me with this ?

Answers

Answer:

The answer is A

Step-by-step explanation:

t(x) = (x-4)(x-4)+3

t(x) = (x²-4x-4x+16)+3

t(x) = x²-8x+19

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