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svetoff [14.1K]
2 years ago
9

The position of the following moving along a straight line at any time t is given by s(t) = t^2 +4t+4/ What is the acceleration

of the particle when t =4?
Mathematics
1 answer:
Naddik [55]2 years ago
4 0

Answer:

\boxed{s(t) = 36 {ms}^{ - 2} }

Step-by-step explanation:

s(t) = t^2 +4t+4 \\ when \: t =4 \\ s(t) =  {4}^{2}  + (4)(4) + 4 \\ s(t) =  {4}^{2}  +  {4}^{2}  + 4 \\ s(t) = 32 + 4 \\ s(t) = 36

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An airplane cruises 1 kilometer in 1/12 of a minute. what is its cruising speed?
rewona [7]

Answer:

An airplane cruises 1 kilometer in 1/12 of a minute. What is its cruising speed?<u>200</u>

5 0
3 years ago
What is the equivalent fraction for 35/42
Lubov Fominskaja [6]

Answer:

An equivalent fraction is 5/6

Step-by-step explanation:

In order to find this, divide both parts of the fraction by 7.

35/7 = 5

42/7 = 6

Now we can put this back together as a fraction.

5/6

7 0
3 years ago
Read 2 more answers
Through (4,-4) ; perpendicular to 6y=x-12
BARSIC [14]

y = mx + b

m = slope and b = y-intercept


We can arrange 6y = x - 12 in the form of y = mx + b

                  6y = x - 12

                    y = 1/6(x) - 2

Slope of y = 1/6(x) - 2 is 1/6. Taking the negative reciprocal of the slope we get the slope for the perpendicular line.

Negative reciprocal of 1/6 is -6.

The equation for the perpendicular line is

                  y = -6x + b

To find b we can plug in the x and y values of (4,-4) into it since it passes through those coordinates

                -4 = -6(4) + b

                 b = -4 + 6(4)

                 b = -4 + 24

                 b = 20

So the equation for the perpendicular line is y = -6x + 20

3 0
3 years ago
(45 POINTS AND BRAINLIEST FOR FIRST ANSWER)
dezoksy [38]

Addition: negative four plus negative four plus negative four equals negative twelve

Multiplication: negative four times three equals negative twelve

Division: twelve divided by 3 equals negative four

8 0
3 years ago
Read 2 more answers
HELP ASAP PLEAse!!! HOW DO YOU FIND THE LATERAL AREA OF THE TRIANGLE, (ALREADY GOT SURFACE AREA CORRECT), PLEASE ROUND IT TO THE
Zarrin [17]
172.9

You find it by multiplying each side of the triangle by the height (9) and adding the results together.

A(lateral) = 8 * 9.1 + 3 * 9.1 + 8 * 9.1
= 72.8 + 27.3 + 72.8
= 172.9
6 0
2 years ago
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