suppose the acceleration function of an object moving along a line is given by a(t) =0.2t. find the position of the object if you know the initial velocity was v(0) =-3 and initial position was s(0) =1

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

sf = s0 + v0 t  + 1/2 at^2

        1  + (-3)t + 1/2 (.2t) t^2           ( weird acceleration value)

s =  1 -3t + .1 t^3           You will need a 't' value to determine the position


Related Questions

What can the read infer most likely happened to Jun Do's mother?
a. She was forced to become a singer.
b. She left because she was tired of living in the countryside.
She was taken away
without her consent.
d. She left because she no longer loved Jun Do's father.
C.

Answers

She left because she was tired of living in the countryside

Use the Multiplication Law of Exponents to solve the expression below.

6 1/2 . 6 1/2= ​

Answers

The base of 6 is the same, so add 1/2+1/2 =1

6^1 = 6

Answer:

The asnwer is

The base of 6 is the same, so add 1/2+1/2 =1

6^1 = 6

Step-by-step explanation:

I hope i helped you very much

Michelle is rolling two six-sided dice, numbered one through six. What is the probability that the sum of her rolls is 5?

Answers

Answer:

13.8888888889% or 0.1388888888889

Step-by-step explanation:

Place these 5 possible results of 6 over the total number of possible outcomes for rolling 2 fair 6-sided dice to obtain 5/(6×6) or 5/36 equal to 0.1388888888889 or 13.8888888889% Probability

:) :) :) :) :) :) :)

Find the amount you would pay for a jacket that costs $52 that is advertised at 25% off.

Answers

Answer:

39

Step-by-step explanation:

First find the discount

52 * 25%

52 * .25

13

Subtract that from the original amount

52-13

39

The price is 39 dollars

How do we find coterminal angles for
degrees? Radians?

Answers

Answer:

To find coterminal angles, add or subtract 360 degrees of the terminal angle as many times possible.

To find radians, use this formula:

Degrees × π/180°

Coterminal angles point in the same exact direction.

In degree mode, you can add on 360 degrees to get a coterminal angle.

Example: 90 degrees is coterminal to 450 degrees because 90+360 = 450. Both angles 90 and 450 point directly north.

You can also subtract 360 from the angle to get a coterminal counterpart.

Example: Given the angle 700, it is coterminal to 340 since 700-360 = 340

This process of adding or subtracting 360 can be done as many times as you like.

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

For radian mode, you'll add or subtract 2pi radians to get a coterminal angle. This is because 2pi radians = 360 degrees by definition.

Examples:

pi is coterminal to 3pi because pi+2pi = 3pi, both point directly westpi/4 is coterminal to 9pi/4 because pi/4 + 2pi = pi/4 + 8pi/4 = 9pi/421pi/4 is coterminal to 13pi/4 because 21pi/4 - 2pi = 21pi/4 - 8pi/4 = 13pi/4

Convert 3 4/9 to an improper fraction

Answers

Answer:

31/9 :)

Step-by-step explanation:

Lets convert!!

3 x 9 = 27

27 + 4 = 31

31/9

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

31/9

Step-by-step explanation:

how this mixed number shows is that you have 3 and 4/9. what you can do from there would be to multiply 3 by 9 so you can get the fraction 27/9, which is still equal to 3 (you are just changing the look of the number). Now, all you have to do is add that to 4/9 to get 31/9. Hope this helps!  

The figure shows the dimensions for a birthday gift. Find the minimum amount of wrapping paper, in square inches, needed to cover the gift. Round your answer to the nearest whole inch.


sqauare inches

Answers

The minimum amount of wrapping paper, in square inches, needed to cover the gift shown in the figure is 614 square inches.

What is of total surface area of the rectangular prism?

The total surface area of the rectangular prism is the space occupied by each of the face of it. It is the sum of area of all the faces of prism.

Total surface area of the rectangular prism is calculated with the following formula.

[tex]A=2(lb+bh+lh)[/tex]

Here, (b) is the breath of the base (l) is the length and (h) is the height of the rectangular prism.

The minimum amount of wrapping paper required to cover the gift is equal to the surface area of the figure.

The figure is made with different sides, The area of all the sides is equal to the surface area of the figure. The surface area of it is,

[tex]A=2(5\times8)+(15\times8)+(15\times10)+2(\dfrac{1}{2}3\times8)+(15\times5)+(15\times11)\\A=614\rm\;in^2[/tex]

Thus, the minimum amount of wrapping paper, in square inches, needed to cover the gift shown in the figure is 614 square inches.

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find the perimeter of the rectangle

Answers

Answer:

22x + 24

Step-by-step explanation:

7x+9+7x+9+4x+3+4x+3

11x + 18 + 11x + 6

Mark brainliest please!

Answer:

perimeter of a rectangle

=2(L+B)

Therefore...

=2(7x+9+4x+3)

collect like terms

=2(7x+4x+9+3)

=2(11x+12)

using 2 to multiply everything in the bracket

=2×11x + 2×12

=22x + 24

I need some help. i dont know what to do, and its very hard for my smol brain

Answers

Check the picture below.

[tex]\begin{cases} (12x)+(5x-10)+\theta =180\\ ~\hfill \theta +16x = 180 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large 180}}{(12x)+(5x-10)+\theta}~~ = ~~\stackrel{\textit{\Large 180}}{\theta +16x}\implies 17x-10+\theta =\theta +16x \\\\\\ 17x-10=16x\implies 17x=16x+10\implies \boxed{x=10} \\\\[-0.35em] ~\dotfill\\\\ \theta +16x = 180\implies \theta +16(10)=180\implies \theta +160=180\implies \stackrel{\measuredangle C}{\theta} =20[/tex]

If you know the volume of a rectangular prism and the area of the base, how can you find the height?

Answers

I hope I can help you:)

REASONING The table shows the weights (in pounds) and the prescribed dosages (in milligrams) of medicine for six patients.

Weight (lb), x Dosage (mg), y
94 72
119 90
135 103
150 115
185 140
202 156
a. Find an equation of the line of best fit. Round the slope and the $y$ -intercept to the nearest tenth, if necessary.

y=

Identify the correlation coefficient. Round your answer to the nearest thousandths.

Interpret the correlation coefficient.

b. Interpret the slope of the line of best fit.

c. A patient who weighs 140 pounds is prescribed 135 milligrams of medicine. How does this affect the line of best fit? Explain.

Answers

The equation of the line of best fit in the table given regarding the weights will be y = 0.77x - 1.1

How to illustrate the table?

From the information given, the equation of the line of best fit in the table given regarding the weights is given and the correlation coefficient is 0.99.

The relationship is strongly positive as it's close to 1. The slope of the best fit gives the change in dosage for for an increase in the weight of the patient.

When a patient who weighs 140 pounds is prescribed 135 milligrams of medicine, it affects the line of best fit as it increases the intercept but decreases the slope.

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If 3 inches equals 4 feet how much does 4 inches equal

Answers

Step-by-step explanation:

so, hypothetically,

3 in = 4 ft

4 in = 4 × 1 in = 4 × 3 in / 3 = 4 × 4 / 3 = 16/3 =

= 5.333333333... ft or 5 1/3 ft

Does anyone know how to solve this hard question without using a calculator

Answers

[tex]\bold{FULL ANSWER:}[/tex]

Answer:

sq rt 2/2

Step-by-step explanation:

Use unit circle to find the answer.

In the triangle, angle RST is 90°. RS= 4cm and ST=3 cm. What is the length of RT? R 4 cm S T 3 cm​

Answers

Step-by-step explanation:

RT^2=RS^2+ST^2

RT^2=16+9=25

RT=√25=5

The answer is 5

URGENT PLEASE HELP !

Answers

Answer:

8/4 Square Inches

Step-by-step explanation:

I think so

8/4 !!!!!!!!!!!!!!!! I

What are the solutions to the quadratic equation 4x2 = 64?

x = −16 and x = 16
x = −8 and x = 8
x = −4 and x = 4
x = −2 and x = 2

Answers

Answer:

x = −4 and x = 4

Step-by-step explanation:

if you do divide its all the opposite 8÷64=8 4×2=8 8×32=4 or 8÷-2=-4

Scarlett is designing a package for a candy her company makes. She has cut several cardboard equilateral triangles, squares, rectangles, and regular pentagons to try out her ideas for the package. Which 3-D figure and combination of shapes can Scarlett use?

Equilateral triangle prism with two equilateral triangles and three rectangles

Pentagonal prism with one pentagon and five rectangles

Rectangular prism with four rectangles

Square prism with four squares

Answers

To create a 3D figure, Scarlett can use two equilateral triangles and three rectangles, which leads to an equilateral triangle prism.

What is a prism?

This is a solid or 3D figure that has two faces made up of polygons.

How to create different prisms?Square prism: Six squares.Rectangular prism: Two squares and four rectangles.Pentagonal prism: Two pentagons and five rectangles.Equilteral triangle prism: Two equilateral triangles and three rectangles.

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Answer: The answer is Equilateral triangle prism with two equilateral triangles and three rectangles

Step-by-step explanation:
I took the test
Oh and I am good like that.

10
Which inequalities are true? Select the four correct answers.
O V5 <2.3 0 V5 <24 < V6
O Vac5c √5.5
OVE <3 <3
O V <2.9 <
O4 <4.5<5

Answers

Answer:

  A, B, C, E

Step-by-step explanation:

Here, you're being asked to put sets of three numbers in order. In many cases, two of the three numbers are irrational square roots. It can work well here to recognize that the order doesn't change if the numbers are squared. By squaring the numbers involved we can make an easier comparison of rational numbers.

__

a) √5 < 2.3 < √6   ⇒   5 < (2.3² = 5.29) < 6 . . . . true

b) √5 < 2.4 < √6   ⇒   5 < (2.4² = 5.76) < 6 . . . . true

c) √4 < √5 √5.5   ⇒   4 < 5 < 5.5 . . . . true

d) √8 < 3 < √9   ⇒   8 < (3² = 9) < 9 . . . . false

e) √8 < 2.9 < 9   ⇒   8 < (2.9² = 8.41) < 9 . . . . true

f) √4 < 4.5 < √5   ⇒   4 < (4.5² = 20.25) < 5 . . . . false

A boxplot is also known as a/an
A. side plot
B. box and whisker plot
C. stem and leaf plot
D. stemplot

Answers

B. box and whisker plot

A boxplot—sometimes called a box and whisker plot—is a dense display that aims to provide lots of context for any given dataset. The chart visually represents several summary metrics in a single view: minimum: the smallest value maximum: the largest value

A shopkeeper sold 12 bags on the first day. The number became four times
every subsequent day. Find the total number of bags sold in seven days.
48
84
65,532
65,535

Answers

The total number of the bags sold by the shopkeeper will be 65532.

What is number series?

The sequence formed by using the numbers is termed as the number series.So in this question from day one to day seven each day the sold items are multiplied by 4.

So the mathematical expression will be given as:

[tex]=(12\times 4^0)+(12\times 4^1)+(12\times 4^2)+(12\times 4^3)+(12\times 4^4)+(12\times 4^5)+(12\times 4^6)[/tex]

[tex]=12+48+192+768+3072+12288+49152\\\\=65532[/tex]

Hence the total number of the bags sold by the shopkeeper will be 65532.

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A function g is given as g(x) = ax + bx + c. It is known that g(0) = 1, g(1) = 2 and g(-1) = 4. (a) Find the values of a, b and c.

Please show detailed steps. (Don't just write down the final answers) Tq​

Answers

Answer:

{2;-1;1}.

Step-by-step explanation:

it is possible to make up the system of three equations:

a) g(0)=1: c=1;

b) g(1)=2: a+b+c=2;

c) g(-1)=4: a-b+c=4;

2) the system has the only solution:

[tex]\left[\begin{array}{ccc}c=1\\a+b+c=2\\a-b+c=4\end{array} \ = > \ \left[\begin{array}{ccc}a= 2\\b=-1\\c=1\end{array}[/tex]

4) finally, a=2; b=-1 and c=1.

what is the missing term in the pattern?2, ?,18,54,162.... a.3 b.6 c.8 or d.9​

Answers

b.6 because 2 * 3 it will give us six then * it with 3 again it will give you 18

Find the following given f(x) = 10x- + 9.
a. f(4)
b. f(- 6)
c. f(0)
D. F(1/5)

Answers

Answer:

c

Step-by-step explanation:

c

In the figure below, trapezoid WXYZ is isosceles, with WZ XY.
If mXWZ = 125° and mWXZ = 27°, what is mXZY?
A.
27°
B.
35°
C.
20°
D.
55°

Answers

Answer: the answer is 27 degrees .

Selecting a black vehicle with a leather interior​

Answers

The answer is 1/8 hope this helps


Justin is on a road trip. Over the past 2 days, he has driven a total distance of 715 miles at an average speed of 65 miles per hour. If
Justin drove 2 hours today, how many hours did he drive yesterday?

Answers

Answer:

1 hour did he drive yesterday

the mean temperature in Glens Falls for the month of february is 23 degrees with a standard deviation of 4.2 degrees. What is the z scores for temperature of 17 degrees?

Answers

Your answer is -1.43

Quadrilateral QRST is dilated by a factor of 2 with the center of dilation at the origin. What are the coordinates of quadrilateral Q'R'S'T'?

A) Q' (4, 4), R' (-4, 4), S' (-4, -4), T' (4, -4)

B) Q' (-1, 1), R' (1, 1), S' (1, -1), T' (-1, -1)

C) Q' (-4, 4), R' (4, 4), S' (4, -4), T' (-4, -4)

D) Q' (-3, 3), R' (3, 3), S' (3, -3), T' (-3, -3)​

Answers

Answer:

C) Q' (-4, 4), R' (4, 4), S' (4, -4), T' (-4, -4)

Step-by-step explanation:

Original:

Q = (-2, 2)

R = (2, 2)

S = (2, -2)

T = (-2, -2)

After multiplying each coordinate by 2:

Q' = (-4, 4)

R' = (4, 4)

S' = (4, -4)

T' = (-4, -4)

A room is 3m high and has a volume of 60m3 calculate area of floor of the room

Answers

given:

[tex]height = 3m[/tex]

[tex]volume = 60 {m}^{3} [/tex]

to find:

the area of the room.

solution:

[tex]l \times w \times h = 60[/tex]

[tex]l \times w \times 3 = 60[/tex]

[tex]l \times w = 20 {m}^{2} [/tex]

therefore, the area of the room is 20 square meters.

What is the value of this expression? [(9+5) x (4-2)] X (5-1) A 108 B112 C148 D336

Answers

Answer:

B

Step-by-step explanation:

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