1)
The graph below shows how the velocity of a lift varies during a 40 second period.
0.4+-
Velocity
(ms)
07
16
24
40 Time (s)
-0.6+
(a)
Find the distance travelled by the lift in the first 16 seconds of the motion.
[2 marks]
(b)
Find the total distance travelled by the lift in the 40 second period.
[3 marks]
(c)
Find the average velocity of the lift during the 40 second period.
[3 marks]

Answer:

D) Slope: 1/8; y-intercept: 3

Step-by-step explanation:

An equation in the form y = mx + b has certain characteristics that help us determine the slope and y-intercept of the line easily.

The variable "m" gives us the slope of the line, while the variable "b" gives us the y-intercept of the line.

Taking y = 1/8x + 3, we can see that the m-value is 1/8 and the b-value is 3.

Therefore, the slope of this line is 1/8 and the y-intercept is 3.

The answer is D) Slope: 1/8; y-intercept: 3.

Answer:

28

Step-by-step explanation:

So if it's a complementary angle is equals 90 degrees total. So subtract 62 from 90. 90-62=28

Answer:

x = 10

Step-by-step explanation:

If two tangent segments are drawn to a circle from an external point, then those segments are congruent.

x+11 = 2x+ 1

x = 10

Answer:

x=10

Step-by-step explanation:

x+11=2x+1

x+10=2x

10=2x-x

x=10

Brillianst!!!!!

Answer:

A'(3, 0)

B'(6, -1)

C'(2, -3)

Step-by-step explanation:

Given

f(x) = 6x - 5

f^-1(x) = ?

Let

y = f(x)

y = 6x - 5

Interchanging the roles of x and y we get

x = 6y - 5

6y = x + 5

y = ( x + 5 ) / 6

So therefore f^- 1(x) = (x + 5) / 6

Hope it helps :)❤

Answer:

$55

Step-by-step explanation:

Let w = the no. of weeks

35 + 2.50w = amount you will have in the account after w weeks

115 - 7.5w = amount cousin will have in the account after w weeks

You need to set these expressions equal to each other.

35 + 2.50w = 115 - 7.5w     Multiply thru the equation

                                            by 10  to remove the fractions

350 + 25w = 1150 - 75w

100w = 800

w = 8 weeks

35 + 2.50w = 35 + 2.5(8) = 35 + 20 = $55

115 - 7.50w = 115 - 7.50(8) = 115 - 60 = $55

Answer:

3x-3+4=3x+1

2x-2+x-1+4=

Answer:

9.1

Step-by-step explanation:

Divide by 450 on both sides to find h

Answer:

2Units

GOOD LUCK FOR THE FUTURE! :)

Answer:

4.672 × 10⁶

Step-by-step explanation:

Answer:

Step-by-step explanation:

Two similar triangles.

10/26 = y/13

y = 5

x² = 13² - y² = 144

x = 12

Answer:

rate: 24:2

unit rate: 12:1

Step-by-step explanation:

Given function:

What is the rate?:

24 inches would be the first digit and 2 feet would be the second one..

the rate would be 24:2..

What is the unit rate?:

unit rates would be the lowest form which means that you have to find a equivalent factor to find the unit rate..

24*2=12, 2*2=1

this also means 12:1

Therefore, the rate of 24 inches and 2 feet is 24:2 and the unit rate would be 12:1.

Answer:

x=29.4

Step-by-step explanation:

To help find the sides of a triangle, I use SOHCAHTOA.

SOH - CAH - TOA

S=O/H ([tex]Sine=\frac{opposite}{hypotenuse}[/tex] )

C=A/H ([tex]Cosine=\frac{adjacent}{hypotenuse}[/tex] )

T=O/A ([tex]Tangent =\frac{opposite}{adjacent}[/tex] )

Let's find x first. We know 2 parts of the triangle: the adjacent leg, and the angle that is opposite of that.

So it would be tangent (tan).

opposite = 17

adjacent = 30°

Plug these numbers into the calculator and you should get your answer.

[tex]\frac{17}{tan(30)} = 29.44486372...[/tex]

x=29.4

Try to do y on your own and let me know if you have any questions!

Also correct me if I'm wrong on anything.

Hope this information helps!

Answer:

0.53

Step-by-step explanation:

Make decimal then divide.

Hope i helped you.

Answer:

n=-22.2/-3.7 { - and - will cancel}

so n=22.2/3.7

therefore n=6

Answer:

t = 1/3

Step-by-step explanation:

for this problem we have two different shapes, what we need to do is find out the proportional relationship between the two to solve for t, lets take one of the measurements from the smaller shape, we will go with... JK at 5

now all we need to do is divide that by the larger shapes same side, in this case that would be RP at 22.5, heres what that looks like so far

5 / 22.5 = 0.2-> (the two goes on forever, normally this is represented by a line above the infinite number, this is what they call a Repeating Decimal)

ok, so now that we have the rate of change between the two shapes figured out, now we just make the same change to the last side from the same side on the first shape, wich is LK to QR as shown

1.5 * 0.2-> = 0.3->

and if 0.3 is = to 1/3, so t = 1/3

i hope this helped you out, im sorry if im a little late lol, make note that all of this can be applied to similar situations, just figure out the change(s) that happened from one shape to the other, and make that same change on the unknown side or area

take care :D

Answer:

0.18

Step-by-step explanation:

try that if not then sorry

Hope it helps XD

Answer:

5 1/3.

Step-by-step explanation:

Unit rate = 4 / 3/4

= 4 * 4/3

= 16/3

= 5 1/3.

Answer:

A? I think but also it may not be but that's what I think good luck

Answer: The measure of one angle is 130°. Which statement is true regarding the 130° angle and angle 3? They are same-side interior angles, so angle 3 measures 50°. They are alternate interior angles, so angle 3 also measures 130°.

Step-by-step explanation:

answer:

the answer is b

Answer: 92

Step-by-step explanation: Angles in an inscribed quad are supplementary and add to 360.

First solve for x:

2x+34=180

x = 73

Then, solve for c

3x + 49 + c = 360

3(73) + 49 + c = 360

268 + c = 360

c = 92

Answer:

2,7

Step-by-step explanation:

Answer:

I'm confused because...

Step-by-step explanation:

The area of the triangle is 117.

So the surface area of the pyramid is 701.168.

Answer:3

Step-by-step explanation : because i division

Answer:

r=C2

Step-by-step explanation:

C=2r is the equation to find circumference

She needs to work backwards in this case, so:

r=C2

r=The circumference she knows x 2 x 3.14(or 3.14159265359)

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

I hope this helped!

Answer:

when the input is 3 the output is 1

Step-by-step explanation:

inputs would basically be the x coordinates while outputs are the y coordinates. when you put in the x coordinate of 3, the y coordinate of 1 is what shows up as the output. (3,1) are the coordinates on the line

Answer:

28 :)

Step-by-step explanation: