A particle moves along a line so that its velocity at time t is
v(t) = t2 − t − 20
(measured in meters per second).
(a) Find the displacement of the particle during
3 ≤ t ≤ 10.

(b) Find the distance traveled during this time period.

Answer:

y=-1/3x + 2/3

Step-by-step explanation:

Write in slope-intercept form:

3y=-x+2

Divide by 3

y=-1/3x + 2/3

Answer:

[tex]k = 52[/tex]

Step-by-step explanation:

Isolate k:

[tex]58 - 6 = k + 6 - 6[/tex]

solve for k:

[tex]k = 52[/tex]

Answer:

The answer is 52. Like it says move everything to one side

Answer:

137.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

710 + 640 = 1350m

To solve the equation for x, first divide both sides of the equation by 4 to get [tex]e^{2.7x}=\frac{33}{4}[/tex]. Then, take the natural logarithm of both sides (base e) to get [tex]\ln e^{2.7x} = \ln (33/4)[/tex]. The left hand side of this equation if equal to 2.7x, so we get [tex]2.7x = \ln(33/4)[/tex]. The final step is to divide both sides of the equation by 2.7, to get that [tex]x =\frac{ \ln (33/4)}{2.7}[/tex]. This is approximately equal to 0.782.

Answer:

ily

Step-by-step explanation:

Answer:

It would be -13

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

You need to separate the 8 from each side of the equation. Picture it like this:

-104= 8 (multiplied by) x

To separate 8 from the variable, you need to divide that side by 8. Similarly, you need to do the same thing to the other side.

-104/8=8x/8

-13=x

Answer:

$667.80

Step-by-step explanation:

30% of 900 is 270, so the price of the TV would be 630 without the tax. 6% of 630 is 37.8, so in total, the price would be $667.80

Answer:

krkk4k4k

Step-by-st man this really is an annoying question

Answer:

This is not a function

Step-by-step explanation:

Hope this helps

Answer:

He scored better on the second test by a margin of 3%.

Step-by-step explanation:

Find the percentage of each one by dividing Ahmed's score / Total possible score

24/30 = 0.8 > move the decimal place over twice for % > 80%

20/24 = 0.83333 > move the decimal place over twice for % > 83%

He scored 3% better on the second test.

Step-by-step explanation:

cost of television-$239

discount-10%

239÷10

Answer:

$215.10

Step-by-step explanation:

I believe this is correct.

Hope this helps!

Answer:

A.

[tex] \frac{ {7x}^{2} - 5x + 1}{4x + 1} [/tex]

Step-by-step explanation:

Since the denominators are the same we just have to combine the top.

[tex] {x}^{2} - 5x + {6x}^{2} + 1[/tex]

Combine alike terms.

[tex] {7x}^{2} - 5x + 1[/tex]

put that over our denominator.

[tex] \frac{ {7x}^{2} - 5x + 1 }{4x + 1} [/tex]

Answer:

20%

Step-by-step explanation

let's assume 100% = 2300

x% = 460

100% / x% = 2300/460

460x100/2300 = 20

the answer is 20%

Answer:

The survey shows that 20% of the individuals were satisfied with the car.

Step-by-step explanation:

When we need to find the percentage of a population, we can use the following formula:

We need to identify the part and the whole in this problem.

We are given that 2,300 people are surveyed, so this is the whole portion.

We are also given that 460 were satisfied, so this is the part portion.

Therefore, we can set up our fraction.

Now, let's solve the percentage.

[tex]\displaystyle \frac{460}{2300} \times 100\\\\\frac{2}{100} \times 100 = 20\%[/tex]

Therefore, of those surveyed, 20% of the individuals were satisfied with the car.

Step-by-step explanation:

PLEASE TYPE FULL QUESSTION

Answer:

4(2-2c)

Step-by-step explanation:

because you switch it around

Answer:

-1

Step-by-step explanation:

times 4 by 2c and 4 by -2

8c and -8 then you divide by each other and get -1

Answer:

-0.96p - 1.82

Step-by-step explanation:

Answer: 15/12 or in simplest form its 5/4

Step-by-step explanation:

Slope is rise/run

Answer:

Do you know rise over run?? The roof goes up 15 feet and to the left or right 12 feet... the slope would be 15/12 or it would be 1.25 (when divided). Hope it helps!

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

Multiply 3 2/5 by 15

Change the mixed number to an improper fraction

3 2/5 = (5 * 3 + 2) /5 = 17/5

17/5 * 15

17 * 15/5

17 * 3

51

Answer:

Hey bby <3 i would have to say it's E

Step-by-step explanation:

Answer:

Step-by-step explanation:

a: is not proportional

because you cant divide any of the tope numbers by the bottom numbers so u can leave the thing blanc.

b: is proportional

becuase you can divide the top and bottom by 30 so the answer is 30

hope this help :)

Answer: 30 for b

Step-by-step explanation:

Answer:

8 months for cost to be same, cost will be $408

Step-by-step explanation:

x = months

176 + 29x = 0 + 51x

176 = 22x

8 = x

176 + (29*8) = 408

0 + (51*8) = 408

Answer:

-1.961666666666

Step-by-step explanation:

The highest level of PEMDAS here is multiplication/division which is done left to right. So do 11/12 first.

11/12 (-2.4)

.916 (-2.4)

Then multiply to get an answer of -1.961666666 ( the six repeats forever)

Answer:

He originally spent 120$

He made 12 extra dollars.

Step-by-step explanation:

To solve this I turned the 110% into a decimal.

So I divided 110 by 100 and got 1.1

In order to find the original number you would then need to divide the total cost of the bicycle and helmet together by 1.1

So, 116 + 16 = 132

132/1.1= 120

Hope this helps

Answer:

d=0.78g/ml

Step-by-step explanation:

d=m/v

d=18/23

d=0.78 g/ml

Answer:

b=1

m=1/4

y=1/4x+1

Step-by-step explanation:

m is the slope, b is the y-intercept

Answer:

1/4

Step-by-step explanation:

Answer:

-1/4, -3/12

Step-by-step explanation:

:)

Answer:

109/2 is the answer of your question . Use PEMDAS rule

Answer:

Sorry, I don't exactly know what you mean by a b c d, however the graph of y=|x|-5 should be two rays with slopes of 1 and -1, meeting at the point (0,-5)

Answer:

x = 100

Step-by-step explanation:

[tex]Log_{10} x =2 \\ \\ x = {10}^{2} \\ \\ x = 100[/tex]