MATHEMATICS HIGH SCHOOL

A motor cyclist travels 800 metres in 40 seconds. Calculate the speed in kilometre per hour.

Answers

Answer 1
Answer:

Answer: 72

Step-by-step explanation:3600 (The number of seconds in an hour)/40 is equal to the number you have to multiply by 800 to get the meters per hour.3600/40=90. 90 x 800 = 72,000. Divide this number by 1000 and you find the answer is 72.Thank me later.I am out.

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Use the intercepts to graph the equation. -x+2y=4

Answers

Answer:

X-intercept: To find the x-intercept, set y to 0 and solve for x.

-x + 2(0) = 4

-x = 4

x = -4

So, the x-intercept is (-4, 0).

Y-intercept: To find the y-intercept, set x to 0 and solve for y.

-0 + 2y = 4

2y = 4

y = 4/2

y = 2

So, the y-intercept is (0, 2).

Step-by-step explanation:

4+6(7-m)=4 solve for m

Answers

4+6(7-m)=4
Opening the brackets;
4+42-6m=4
46-6m=4
Putting like terms together;
46-4=6m
42=6m
m=(42)/(6)
m=7
4-4+42-6m=0
42=6m
m=42/6
m=7

hope helped

Given the position function, s of t equals t cubed divided by 3 minus 12 times t squared divided by 2 plus 36 times t , between t = 0 and t = 15, where s is given in feet and t is measured in seconds, find the interval in seconds where the particle is moving to the right. (5 points)0 < t < 6


5 < t < 15


t > 15


The particle always moves to the right.

Answers

Answer:

Option D is correct.

as the particle always moves to the right

Step-by-step explanation:

Given the function:  s(t) = (t^3)/(3) - (12t^2)/(2) + 36t , 0<t<15;

where

s(t) represent the distance in feet.

t represents the time in second.

Since, when the particle is moving to the right,

⇒ s(t) is increasing.

so, v(t) =(ds)/(dt) > 0

Find the derivative of s(t) with respect to t;

Use derivative formula:

(dx^n)/(dx) = nx^(n-1)

(ds)/(dt) = (3t^2)/(3)-(24t)/(2)+36

Simplify:

(ds)/(dt) = t^2-12t+36

As (ds)/(dt) > 0

⇒t^2-12t+36 > 0

(t-6)^2 >0               [(a-b)^2 = a^2-2ab+b^2 ]

⇒ this is always true because square of any number is always positive

Therefore, it means that the particle always moves to the right.

betty is going to adopt puppies from a litter of 11. how many ways can she choose a group of 3 puppies?

Answers

11*10*9=990

Need help
-1/2 + (3/4X4/9)=

Answers

Answer:

-(1)/(6)

Step-by-step explanation:

In order to find the answer to this question you must use order of operations and add after finding the common denominator.

-(1)/(2) +((3)/(4) *(4)/(9) )

P goes first

(3)/(4) *(4)/(9)

Solve:

3*4=12

4*9=36

=(12)/(36)

Reduce:

12/6=2

36/6=6

2/2=1

6/2=3

=(1)/(3)

-(1)/(2) +(1)/(3)=(-1*3)/(2*3) +(1*2)/(3*2) =-(1)/(6)

=-(1)/(6)

Hope this helps.

Answer:

The correct answer would be negative 1 over 6 also written as -1/6

Step-by-step explanation:

HAVE A GOOD DAY!

Convert 37/6 to a mixed number.
a. 5 5/6
b. 6 5/6
c. 6 1/6
d. 6 2/3

Answers

The best way to explain it is that 37 ÷ 6 is 6 remainder 1 so the answer is C) 6 1/6
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