The slope of a speed-time graph indicatesa. acceleration.
b. speed.
c. direction.
d. velocity.

Answers

Answer 1
Answer: A. Accelleration

A graphs slope has the formular rise/run, in this case, the change in speed/change in time (because speed is on the y-axis which means it is the "rise" and time is on the x-axis which means it is the "run").
If you go to a formulae sheet, you will see that a = change in speed/change in time.
This is the same as the formular of the graph therefore the slope of a speed-time graph indicates accelleration

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|3k-2|=2|k+2| what is k

Answers

Answer:

k = 6

Step-by-step explanation:

|3k-2| = 2|k+2|

3k - 2 = 2k + 4

k - 2 = 4

k = 6

A bin has 382 red, yellow, blue and green balls. It has three times as many red balls as yellow balls, 52 more blue balls than yellow balls, and 30 fewer green balls than red balls. How many green balls does it have?

Answers

The bin containing 382 red, yellow, blue and green balls have a total of 32 green balls.

Let x represent the number of red balls, y represent the number of yellow balls and z represent the number of green balls.

Since ther is a total of 382 balls, hence:

x + y + z = 382   (1)

There is three times as many red balls as yellow balls:

y = 3x

3x - y = 0    (2)

52 more blue balls than yellow balls, hence:

z = y + 52

- y - z = -52    (3)

Solving equations 1,  2 and 3 gives x = 62, y = 186, z = 134

Hence there are 62 red balls, 186 yellow balls and 134 blue balls

Green balls = 62 - 30 = 32 balls

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Final answer:

To find the number of green balls, you need to create equations using the given information. By solving the equations, the bin is determined to have 150 green balls.

Explanation:

To find the number of green balls, we need to consider the given information and create equations to solve for the number of green balls. Let's define the number of yellow balls as 'y'.

From the first statement, we know that there are 3 times as many red balls as yellow balls. Therefore, the number of red balls is 3y.

From the second statement, we know that there are 52 more blue balls than yellow balls. So, the number of blue balls is y + 52.

From the third statement, we know that there are 30 fewer green balls than red balls. So, the number of green balls is 3y - 30.

We can set up an equation: 3y + y + 52 + 3y - 30 = 382. Solving for 'y', we get y = 60.

Substituting the value of 'y' back into the equation for the number of green balls, we find that the bin has 3(60) - 30 = 150 green balls.

Learn more about Algebra here:

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in a sale there is 25% off and a bed costs 33 pounds in the sale so how much was it before the sale ?

Answers

44 pounds 
gonna type so i can post this because of the 20 character limit :P

The length of a rectangle is twice the width.The perimeter of the rectangle is 24.What is the value of the width?

Answers

Hope it helped

ThankYou

Which is bigger:
3/8 or 0.38.
Can you tell me how to work it out?please!

Answers

You do 3 x 8 / 100 to work out 3/8 as a decimal. So its 0.24. 0.38 is bigger

What are the approximate solutions of 2x2 + 9x = 8 to the nearest hundredth?a. x ≈ 1.22 and x ≈ 3.28
b. x ≈ −0.76 and x ≈ 5.26
c. x ≈ −1.22 and x ≈ −3.28
d. x ≈ −5.26 and x ≈ 0.76

Answers

Answer:

The roots of the equations are x ≈ -5.26 and x ≈ 0.76 .

Option (d) is correct.

Step-by-step explanation:

Formula for the roots is given by .

x = \frac{-b \pm \sqrt{b^(2) -4ac}}{2a}

As the equation in the form

2x^(2) + 9x - 8 = 0

As the equation in the form ax² + bx + c = 0

a = 2, b= 9 , c = -8

Put in the formula

x = \frac{-9 \pm \sqrt{9^(2) -4* 2* -8}}{2* 2}

x = (-9 \pm √(81 + 64))/(4)

x = (-9 \pm √(145))/(4)

√(145) = 12.04

Thus First roots be

x = (-9 - 12.04)/(4)

x = (-21.04)/(4)

x ≈ -5.26

The second root be

x = (-9 + 12.04)/(4)

x = (3.04)/(4)

x ≈ 0.76

Therefore the roots of the equations are x ≈ -5.26 and x ≈ 0.76 .

Option (d) is correct.




Answer:

the anwser is d, hope this helps