For an object whose velocity in ft/sec is given by v(t) = -3t2 + 5, what is its displacement, in feet, on
the interval t = 0 to t = 2 secs?

The relationship between the angles depend on their relative positions.

Response:

The possible drawing in the question created based on the relationship between the angles is attached.

∠a and ∠c;

∠a and ∠b

∠b and ∠h

∠f and 55°

∠a and ∠e

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Graph 1.

You have to look at the graph from left to right. If the starting point of the graph is higher than the endpoint, that means that the slope is negative. If the starting point is lower than the end point, it means the slope is positive.

Answer:

It take her 25 weeks

Step-by-step explanation:

2÷50

Answer:

17 years

Step-by-step explanation:

a light year is a measurement of distance where each light year is equal to the distance light would travel in a year

The approximate difference in the ages of the two cars, which  depreciate to 60% of their respective original values, is 1.7 years.

Depreciation is to decrease in the value of a product in a period of time. This can be given as,

[tex]FV=P\left(1-\dfrac{r}{100}\right)^n[/tex]

Here, (P) is the price of the product, (r) is the rate of annual depreciation and (n) is the number of years.

Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of 10%.

Suppose the original price of the first car is x dollars. Thus, the depreciation price of the car is 0.6x. Let the number of year is [tex]n_1[/tex]. Thus, by the above formula for the first car,

[tex]0.6x=x\left(1-\dfrac{10}{100}\right)^{n_1}\\0.6=(1-0.1)^{n_1}\\0.6=(0.9)^{n_1}[/tex]

Take log both the sides as,

[tex]\log 0.6=\log (0.9)^{n_1}\\\log 0.6={n_1}\log (0.9)\\n_1=\dfrac{\log 0.6}{\log 0.9}\\n_1\approx4.85[/tex]

Now, the second car depreciates at an annual rate of 15%. Suppose the original price of the second car is y dollars.

Thus, the depreciation price of the car is 0.6y. Let the number of year is [tex]n_2[/tex]. Thus, by the above formula for the second car,

[tex]0.6y=y\left(1-\dfrac{15}{100}\right)^{n_2}\\0.6=(1-0.15)^{n_2}\\0.6=(0.85)^{n_2}[/tex]

Take log both the sides as,

[tex]\log 0.6=\log (0.85)^{n_2}\\\log 0.6={n_2}\log (0.85)\\n_2=\dfrac{\log 0.6}{\log 0.85}\\n_2\approx3.14[/tex]

The difference in the ages of the two cars is,

[tex]d=4.85-3.14\\d=1.71\rm years[/tex]

Thus, the approximate difference in the ages of the two cars, which  depreciate to 60% of their respective original values, is 1.7 years.

Learn more about the depreciation here;

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The number of numbers which are a units away from 0, if a>0 is; 2 numbers

According to the questions;

The given premises is that a>0.

Hence, it follows that, the numbers which are a units away from 0 on the number line are;

Ultimately, only two numbers; +a and -a are a units away from 0.

Read more on number line;

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Answer:

2 numbers

Step-by-step explanation:

Answer:

105/61 is the answer for 5/6 ÷ 10/21

Answer: I think the answer is 3

Step-by-step explanation:

Answer:

7.6

Step-by-step explanation:

area of triangle=1/2(bxh)

make equation

11.02=1/2(2.9b)

solve

22.04=2.9b

7.6=b

Answer: See below

Step-by-step explanation:

Rewrite in vertex form

f(x) = 2x^2-8x+1

f(x) = 2(x^2-4x) + 1

f(x) + ? = 2(x^2 -4x +?) + 1

To find ?, calculate (b/2)^2, in this case, b is 2

(2/2)^2

= 4

f(x) + 4 = 2(x^2 -4x +4) + 1

f(x) + 2*4 = 2(x^2 -4x +4) + 1

f(x) = 2(x-2)^2 -7

Vertex: (2, -7)

Minimum:  (2 -7) - Same as the vertex

By takin common we got that factorization of [tex]x^3+6x^2+8x+48[/tex] is [tex](x+6)(x^2+8)[/tex]

What is factorization ?

factorization is writing a expression as a product of several factors.

Given polynomial

[tex]x^3+6x^2+8x+48[/tex]

We can factorize it as

Taking [tex]x^2[/tex] common from first two terms and 8x common from last two terms

[tex]x^2(x+6)+8(x+6)[/tex]

Taking (x+6) common

[tex](x+6)(x^2+8)[/tex]

By takin common we got that factorization of [tex]x^3+6x^2+8x+48[/tex] is [tex](x+6)(x^2+8)[/tex]

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Answer:

The answer is D (x+6)(x^2+8)

Step-by-step explanation:

im not the best at explaning but this is the only answer that makes sense have a good day! :)

Answer: 5

Step-by-step explanation:

Setting them equal (since both are equal to f(x)), we get:

-5x+8 = -17

-5x=-25

x=5

The sum of the length of the two sides of the triangle must be greater than the length of the third side. None of the triangles is formed. Then option A is correct.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

The sides of the triangle are 4.7 m, 1.6 m, and 2.9 m.

The condition will be

[tex]1.6 + 2.9 \ngtr 4.7[/tex]

We know that the sum of the length of two sides of the triangle must be greater than the length of the third side.

Hence, none of the triangles is formed.

Thus, option A is correct.

More about the triangle link is given below.

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Answer:

A

Step-by-step explanation:

Answer:

23 degrees

Step-by-step explanation:

5: 100 = 2x + 3 + 51

100 = 2x + 54

100 - 54 = 2x

46 = 2x

x = 23 degrees

Answer:

I hope you can understand this

Answer:

8 to 7

Step-by-step explanation:

5/7 to 5/8 = 40/56 to 35/56

We then have:

5/7 to 5/8 = 40 to 35

Now...

40 to 35 = 8 to 7

P.S: These colons ':' mean the same as 'to' in ratios

Answer:

A, C, and D

Step-by-step explanation:

Graph both equations on Desmos or a graphing utility. Make sure you have entered the inequality correctly. You see an area with both red and blue shaded. The area with both colors is where the solutions are. Looking at the graph, A, C and D are in the double shaded region.

Answer: $8,425

Step-by-step explanation:

•Gross Profit = Income - Cost of Goods

- Ben's Income was $9,000 and his cost of goods were $575.

-Therefore, $9,000 - $575 = $8,425

Answer:

lmk if something doesnt add up

Step-by-step explanation:

I hope it helps

Answer:

=4xy−4y2+16x−16y

Step-by-step explanation:

(2x−2y)(2y+8)

=(2x+−2y)(2y+8)

=(2x)(2y)+(2x)(8)+(−2y)(2y)+(−2y)(8)

=4xy+16x−4y2−16y

=4xy−4y2+16x−16y

Answer:-4y^2+4xy+16x-16y

Step-by-step explanation: Hi there.

For this answer I will show you the FOIL method.

Form: (ax-by)(cy-d)

1. Multiply ax and cy

2x*2y=4xy

2. Multiply ax and d

2x*8=16x

3. Multiply by and cy

-2y*2y=-4y^2

4. Multiply by and d

-2y*8=-16y

Add all of them together and you get:

-4y^2+4xy+16x-16y

Have a nice day! :)

Answer:

Step-by-step explanation:

The negative leading coefficient tells you this parabola opens downward, so the vertex will be a maximum. The constant is the y-intercept, which is 58.

__

The vertex is nicely found using a graphing calculator, but can also be found algebraically. The x-value is ...

  x = -b/(2a) = -19.8/(2·(-4.9)) = 19.8/9.8 = 99/49 ≈ 2.02041

The value of f(99/49) is ...

  f(99/49) = (-4.9(99/49) +19.8)(99/49) +58 = (9.9)(99/49) +58 ≈ 78.002

The location of the vertex is approximately ...

  (x, y) ≈ (2.0204, 78.002) ≈ (2, 78)

Using the Central Limit Theorem, it is found that a larger sample size reduces the variability, that is, the experimental probabilities will be closer to the theoretical probabilities, which explains why the actual results are closer to the expected probability of 1/2 when rolling the cube 100 times.

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard error [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

That is, the standard error is inverse proportional to the square root of the sample size, hence a larger sample size reduces the variability, that is, the experimental probabilities will be closer to the theoretical probabilities, which explains why the actual results are closer to the expected probability of 1/2 when rolling the cube 100 times.

More can be learned about the Central Limit Theorem at https://brainly.com/question/16695444

Answer:

5x + 2y = 9

Step-by-step explanation:

Find the slope of the line that is perpendicular to 2x - 5y = 7 :

m= [tex]\frac{-5}{2}[/tex]

Find the y - intercept of the function:

b = [tex]\frac{9}{2}[/tex]

substitute m= [tex]\frac{-5}{2}[/tex] and b = [tex]\frac{9}{2}[/tex] into y = mx + b :

y =  [tex]\frac{-5x}{2}[/tex] +  [tex]\frac{9}{2}[/tex]

y = 5x + 2y = 9

Answer:

Step-by-step explanation:

9x^2 - 64 = (3x - 8)(3x + 8)

3x - 8 is a factor

Answer:

$2.15

Step-by-step explanation:

Since 3 Tomatoes cost $1.29

Then let's first find how much is 1 Tomatoes.

To do that we have to divide Cost by # of Tomatoes

3/1.29 = 0.43

Thus, 1 Tomatoes Cost 0.43

Now, the question is: How much will 5 tomatoes cost?

Therefore, 0.43 * 5 =2.15

Hence, 5 Tomatoes cost $2.15

[RevyBreeze]

Answer:

23%

Step-by-step explanation:

Step 1. Find increase of price amount

18.75 - 15.25 = 3.50

Step 2. Find the percentage increase

- Since we are finding the percent increase, we know that we need to find 3.50 is ____% of 15.25. We can simply do 3.50/15.25, which can be simplified to approximately 0.23.

- Note that percentage = 100 times decimal

100 x 0.23 = 23

The answer is 23%

Hope this helps :)

Have a nice day!

Answer:

u get 59.08 divide by 52 multiply by 100% u get da answer

The simplified polynomial that represents how many more economy cars are rented in w weeks than full-size cars is 53 - w.

Linear equation is an equation in which the highest power of the variable is equals to one.

Therefore, the number of economy-size cars rented in w weeks is represented as follows:

The number of full-size cars rented in w weeks is represented as follows:

where

w = number of weeks

A  simplified polynomial that represents how many more economy cars are rented in w weeks than full-size cars is as follows:

learn more on polynomial here: https://brainly.com/question/2566362

Answer:

Slope is 3.68

Y intercept is 95.25

Step-by-step explanation:

Slope is the rate of increase and it is the number next to X.

Y interecept is when X is 0 so if we put 0 to x we get 95.25

Please mark as brainliest if this helped

Answer:

     40

y = ----

      3

Step-by-step explanation:

[tex]\\ \rm\rightarrowtail \dfrac{3y-8}{12}=\dfrac{y}{5}[/tex]

[tex]\\ \rm\rightarrowtail 5(3y-8)=12y[/tex]

[tex]\\ \rm\rightarrowtail 15y-40=12y[/tex]

[tex]\\ \rm\rightarrowtail 3y=40[/tex]

[tex]\\ \rm\rightarrowtail y=40/3[/tex]