so the answer to
Evaluate the expression for a = 3, b=12 , and c = 4.

8ab over 2bc

is 3?

Answer:

1.5 repeating

Step-by-step explanation:

Answer:

[tex]\displaystyle \frac{1}{\pi}\approx0.318[/tex]

Step-by-step explanation:

The velocity of an object moving on a line is given by the function:

[tex]\displaystyle v(t)=\frac{1}{\pi}+\sin(3t),\; \frac{\pi}{2}\leq x\leq\pi[/tex]

And we want to determine the velocity of the object when its acceleration is 3.

So, we will need to determine our acceleration function. Remember that acceleration is simply the derivative of speed. Therefore, our acceleration function a(t) will be:

[tex]\displaystyle a(t)=v^\prime(t)=\frac{d}{dt}[\frac{1}{\pi}+\sin(3t)][/tex]

Differentiate. We will use the chain rule on the second part. Hence, our acceleration function is:

[tex]\displaystyle a(t)=3\cos(3t)[/tex]

We want to find the velocity when the acceleration is 3.

So, let’s set a(t) equal to 3 and determine at what time t our function equals 3. Hence:

[tex]3=3\cos(3t)[/tex]

Divide both sides by 3:

[tex]\cos(3t)=1[/tex]

Take the inverse cosine of both sides.

Remember that cosine is 1 for every 2π. Hence:

[tex]3t=2\pi n[/tex]

Where n is an integer.

Divide both sides by 3. Therefore, our solutions are:

[tex]\displaystyle t=\frac{2\pi n}{3}[/tex]

However, our domain was π/2≤x≤π.

Hence, we can test values of n such that it is within our domain.

Testing for n=0, 1, and 2, we see that:

[tex]\displaystyle t=0, \, t=\frac{2\pi}{3},\, t=\frac{4\pi}{3}...[/tex]

However, the only solution that is within our domain is the second solution.

Hence, the acceleration is 3 when the t is 2π/3.

Therefore, our velocity at that time t is:

[tex]\begin{aligned}\displaystyle v(\frac{2\pi}{3})&=\frac{1}{\pi}+\sin(3(\frac{2\pi}{3}))\\ &=\frac{1}{\pi}+\sin(2\pi)\\&=\frac{1}{\pi}+0\\&=\frac{1}{\pi}\approx 0.318\end{aligned}[/tex]

Answer:

as x increases, y increses

the parabola grows wider and taller, meaning that the y and x values will both increase:)

Answer:

B for the first graph (as x increases, y increases), D for the second graph (as x increases, y decreases), D for the third graph (minimum at y = -9), and A for the forth graph (the graph opens up because the a value in the equation is positive)

Answer:

Part a: 7.5

Part B: It changes by 1.5

Step-by-step explanation:

PART A:

In the table you are suppose to find out how much it increases by so you subtract,

[tex]4.5 - 3 = 1.5[/tex]

[tex]6 - 4.5 = 1.5[/tex]

Since we know the difference is 1.5 you will add 6 by 1.5

[tex]6 + 1.5 = 7.5[/tex]

Therefore, the answer is 7.5

PART B: It changes by 1.5 because the difference between the increase in points is 1.5

Answer:

-5a<13

Step-by-step explanation:

Answer:

i  need points

Step-by-step explanation:

i need points ,, hope you find your answer

Answer:

0.0952

Step-by-step explanation:

Percent just divide by 100

9.52 ÷ 100 = 0.0952

Answer:

0.0952

Step-by-step explanation: In order to get a decimal out of a percentage you take the decimal and put it two places to the left. Hope this helps!

Answer:

A

Step-by-step explanation:

THe guy above me explained

The difference in ages between the oldest and youngest math teachers is greater than the difference in ages between the oldest and youngest science teachers. Option A is correct.

When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.

Here,
The age gap between the oldest and youngest math teachers is larger than the age gap between the oldest and youngest science teachers. Option A is a true statement, while all other options are invalid.

Thus, the difference in ages between the oldest and youngest math teachers is greater than the difference in ages between the oldest and youngest science teachers. Option A is correct.

Learn more about medians here: https://brainly.com/question/28060453
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Answer: 43.2 miles/hour

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:   {y1=mx1+b}

x1      l      y1

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

8       l    104   <------------Answer

12      l    146

        l

        l

m = 10.5    

b = 20

Answer:

If he missed five questions he can get a zero

Step-by-step explanation:

answer: B

Step-by-step explanation: Its the only one that makes sense because as you see there are only four numbers to go off of, and b is the only one tht makes sense tbh

6x+25=1

move +25 to the other side

sign changes from +25 to -25

6x+25-25=1-25

6x=1-25

6x=-24

divide both sides by 6 to get x by itself

6x/6=-24/6

x=-4

answer: x=-4

Answer:

1. 1

2. -1

3. -3

4. 3

If you have any questions on the topic let me know. :)

Answer:

1. 1

2. -1

3. -3

4.3

Step-by-step explanation:

...

Answer:

m<5 = 71 and m<8 = 109

Step-by-step explanation:

m<1 is equivalent to m<5 and m<2 is equivalent to m<8.

Answer:

∠5 = 71°

∠8 = 109°

Step-by-step explanation:

∠1 = 71°

∠5 = 71°  (the same as ∠1 = 71°) its a corresponding angle

∠8 = 180 - ∠5

∠8 = 180 - 71

∠8 = 109°

Answer:

2^2 = 4

Step-by-step explanation:

2*2 = 4

Answer:

k = 23% profit on sale price is needed to ensure 30% profit on cost price

Step-by-step explanation:

Let sale price be = s , Profit = k% of s

Let cost price be = 100 , Profit = 30% of c

Cost price (c) + profit (p)  = Sale price (s)

c + 0.3c = s

1.3c = s

Profit as a percentage of sale = (Profit / Sale) x 100

= (0.3c / 1.3c) x 100

= 23%

Answer:

-5<x<9

Step-by-step explanation:

It took me a while to find figure it out.

Answer:

112

Step-by-step explanation:

16 ounce multiply that by 7. 112. This correct i googed it

Answer:

no solution

Step-by-step explanation:

-3n + 12 + 5n = 2n

subtract 2n from both sides to get all the n’s on one side

-3n - 2n + 5n + 12 = 0

Combine n’s Which actually cancel themselves out. This leaves

12 = 0

12 can never equal 0 so there is no solution.

Answer: 60

Just put 60 :)

Answer:

x^2=399+1

x^2=400

x=√400

x=+/-20

A. x=20 and x=-20

Answer:

x = 20 and x = -20

Step-by-step explanation:

I am a math expert. 20^2 and -20^2 are both 400 - 1 = 399.

Everything else is 397 or a wayyy higher number

Trust me the answer is x = 20 and x = -20

If im right, give me brainliest

angle2=180-152=28

angle3=28

angle4=152

angle5=152

angle6=28

angle7=28

angle8=152

The values of the marked angles: angle 2, angle 3,  angle 4,  angle 5,  angle 6,  angle 7,  angle 8 are 28°, 28°, 152°, 152°, 28°, 28°, 152°.

When two lines or rays meet at a point, then the geometrical figure is formed, is called an angle.

Given, angle 1 = 152°

We know, angle 1 + angle 2 is 180°.     (supplementary angles)

Therefore, angle 2 = (180° - 152°) = 28°.

Again, angle 2 = angle 3.             (opposite angles)

Therefore, angle 3 = 28°.

Similarly, angle 1 = angle 4

Therefore, angle 4 = 152°.

Now, angle 1 = angle 5        (corresponding angle)

Therefore, angle 5 = 152°.

Now, angle 2 = angle 6        (corresponding angle)

Therefore, angle 6 = 28°.

Now, angle 3 = angle 7        (corresponding angle)

Therefore, angle 7 = 28°.

Now, angle 4 = angle 8        (corresponding angle)

Therefore, angle 8 = 152°.

Learn more about an angle here: https://brainly.com/question/18129828

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Answer:

2, 4, 6

Step-by-step explanation:

Answer:

-30 is the right one if u need help tell me ;)-

Step-by-step explanation:

:)

Answer:

=x+2

Step-by-step explanation:

x3+6x2+11x+6

x2+4x+3

=

x3+6x2+11x+6

x2+4x+3

=

(x+1)(x+2)(x+3)

(x+1)(x+3)

Answer:

a. x+2

Step-by-step explanation:

took the test