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3 years ago

A car accelerates

Mathematics

2 answers:

vitfil [10]3 years ago

5 0

Answer:

follow xxflirtykingxx

irina1246 [14]3 years ago

3 0

Answer:

7 Seconds

Step-by-step explanation:

This is kinematics

Vf=Vi+at

t= $\frac{Vf-Vi}{a}$

t= $\frac{62-13}{7}$

t= $\frac{49}{7} =7$

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Suppose spin a spinner with eight equal sectors, numbered 1 to 8. What is the probability of spinning a 3 or an 8?

olasank [31]

Given, in the spinner 8 equal sectors, numbered 1 to 8.

So total numbers = 8.

Let, the probability of spinning a 3 is P(Three) and spinning an 8 is P(Eight).

Now we know that, probability of an event E is

P(E) = (number of outcomes in the event)/ (total number of possible outcomes).

So here number of outcomes for spinning a 3 is 1 and we have got total outcomes = 8.

So P(Three) = $\frac{1}{8}$

Similarly, P(Eight) = $\frac{1}{8}$

Probability of spinning a 3 or an 8 = P(Three) + P(Eight)

= $\frac{1}{8} + \frac{1}{8}$

As the denominator is same we can add the numerator.

= $\frac{(1+1)}{8}$

= $\frac{2}{8}$

Now we have to simplify the fraction by dividing the numerator and denominator by a common factor of them.

The common factor of 2 and 8 is 2. So by dividing them we will get,

= $\frac{1}{4}$

We have got the required answer.

The probability of spinning a 3 or an 8 is $\frac{1}{4}$

4 0

3 years ago

Read 2 more answers

Create an equivalent system of equations using the sum of the system and the first equation.

True [87]

Answer:

Step-by-step explanation:

x+4y=8

4x+y=2

add

5x+5y=10

so system is

x+4y=8

5x+5y=10

6 0

3 years ago

Maria bikes 15 miles per hour and starts at 10 miles. Glen bikes 20 miles per hour and starts at 0 mile. At what time and distan

Ilya [14]

10/(20-15)=2 hours
20*2=40 miles
15*2+10=40 miles
Glen catch up with Maria after 2 hours at 40 miles

6 0

3 years ago

Which of the following functions are solutions of the differential equation y'' + y = 3 sin x? (select all that apply)

DiKsa [7]

Answer:

Step-by-step explanation:

We must compute the derivatives and check if the equation is satisfied.

A. $y'=(3\sin x)'=3\cos x$ . Differentiate again to get $y''=(3\cos x)'=-3\sin x$ , then $y''+y=-3\sin x+3\sin x=0\neq 3\sin x$ so this choice of y doesn't solve the equation.

B. $y'=3\sin x+3x\cos x-5\cosx +5x\sin x=(5x+3)\sin x+(3x-5)\cos x$ and $y''=5\sin x+(5x+3)\cos x+3\cos x-(3x-5)\sin x=(10-3x)\sin x+(5x+6)\cos x$ , then $y''+y=10\sin x+6\cos x\neq 3\sin x$ so y is not a solution

C. $y'=\frac{-3}{2}\cos x+\frac{3}{2}x\sin x$ hence $y''=\frac{3}{2}\sin x+\frac{3}{2}\sin x+\frac{3}{2}x\cos x=3\sin x+\frac{3}{2}x\cos x$ . Then $y''+y=3\sin x+\frac{3}{2}x\cos x-\frac{3}{2}x\cos x=3\sin x$ so y is a solution.

D. $y'=-3\sin x$ and $y''=-3\cos x$ , then $y''+y=0$ thus y isn't a solution

E. $y'=\frac{3}{2}\sin x+\frac{3}{2}x\cos x$ hence $y''=\frac{3}{2}\cos x+\frac{3}{2}\cos x-\frac{3}{2}x\sin x=3\cos x-\frac{3}{2}x\cos x$ . Then $y''+y=3\cos x-\frac{3}{2}x\cos x-\frac{3}{2}x\cos x=3\cos x\neq 3\sin x$ then y is not a solution.

3 0

3 years ago

Help please I need this fast

tangare [24]

Answer:

D. 6i

Step-by-step explanation:

3 0

3 years ago