1- The acceleration of a particle is defined by the relation a = 6 ft/s 2. Knowing
that s =-32 ft when t = 0 and v= -6 ft/s when t = 2 s, determine the velocity, the
position, and the total distance traveled when t = 5 s.
help fast​

Answers

Answer 1

Answer:

The initial velocity of the particle is

v' = -6 - 6.2 = -18 ft/s

at t = 5s, the velocity is v = -18 + 6.5 = 12 ft/s

the position is

[tex]x = - 32 - 18 \times 5 + \frac{1}{2} \times 6 \times 5 {}^{2} = - 47 \: ft[/tex]

the total distance traveled is

[tex]s = | \frac{12 {}^{2} - 18 {}^{2} }{2 \times 6} | = 15 \: ft[/tex]


Related Questions

Pls help me pls pls I beg you

Answers

Answer:

3/32 in³

Step-by-step explanation:

To find the volume of a rectangular prism, multiply the length, width, and height.

[tex]\frac{3}{4} *\frac{1}{2} *\frac{1}{4} =\frac{3}{32}[/tex]

Therefore, the volume is 3/32 in³.

HELP! PLEASEE I’ve been stuck!! I WILL GIVE BRAINLY,,, THANK YOU SM

Answers

Answer:

$119

Step-by-step explanation:

08:00 - 12:15 = 4hrs 15mins

13:00 - 17:15 = 4hrs 15mins

Total hours worked = 8hrs 30 mins

$14/hr

14 × 8 = 112

30 mins is half of an hour so 14/2 = 7

$7 for 30 mins

112 + 7 = 119

$119

hope this helps ^^

HELLO CAN SOMEONE HELP ME WITH THIS! MATH IM FAILING NO FAKE ANSWERS PLZ!

Answers

Answer:

45 square ft^2

Step-by-step explanation: The formula of the area of the trapezoid is A=(a+b)/2 x h. A represents the top while b represents the bottom. 15+3=18 and 18/2=9. If multiply the result by 5, you get 45 as the answer.

Write the equation in either slope-intercept or point-slope form for the
line that goes through (1,1) and (3,-5). *

Answers

Answer:

y = mx + b

m = (-5-1)/(3-1)

m = -3

1=(-3)1 + b

b= 4

y= -3x + 4

100 POINTS !!!! Let f(x)=√3x and g(x)=x-6 What's the smallest number that is in the domain of fog?

Answers

Answer:

6

Step-by-step explanation:

fog(x) = √3(x-6)

Domain => 3(x-6) ≥ 0

<=> x-6≥ 0

=> x ≥ 6

so, the smallest number is 6

As

(fog)(x)=f(g(x))

g(x)=x-6

f(g(x))

f(x-6)√3(x-6)

So

x-6≥0x≥6

Smallest no is 6

A point with a positive x-coordinate and a negative y-coordinate is reflected over the y-axis.
Which sentence describes the coordinates of the new point?

Answers

The x-coordinate is negative, and the y-coordinate is negative.

This is because the y-axis is vertical, so reflecting across it means you will change the sign of the x-value, and the sign of the y-value will stay constant. Since we start off with a positive x and negative y, we will end up with a negative x and negative y.

HI CAN I GET SOMEONE TO HELP ME WITH MATH IM FAILING TY! :)

Answers

Answer:

20 square meters

Step-by-step explanation:

area = length x width

area of grass = 4 x 4 = 16

area of grass and cement = 6 x 6 = 36

Now you subtract to find the area of the cement.

36 - 16 = 20

PLEASE ANSWER CORRECTLY WILL GIVE BRAINLIEST

Answers

Answer:

r = [tex]\sqrt{x} A/4\pi[/tex] , or the third option :)

Step-by-step explanation:

Answer:c

Step-by-step explanation:

In a certain​ city, the average​ 20- to​ 29-year old man is 69.6 inches​ tall, with a standard deviation of 3.1 ​inches, while the average​ 20- to​ 29-year old woman is 64.1 inches​ tall, with a standard deviation of 3.9 inches. Who is relatively​ taller, a​ 75-inch man or a​ 70-inch woman?

Answers

Answer:

the 20-29 year old man are relatively taller.

Step-by-step explanation:

for the old man we have next z- score=75-69.6/3.1=1.74

for the old women we have next z-score=70-64.1/3.9=1.51

Find the 12th term of the geometric sequence 5, 20, 80, ...5,20,80

Answers

Answer:

a₁₂ = 20971520

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 5 and r = a₂ ÷ a₁ = 20 ÷ 5 = 4 , then

a₁₂ = 5 × [tex]4^{11}[/tex] = 5 × 4194304 = 20971520

25. The sides of the base of the square prism drawn below have been doubled, but its height has not been changed. Determine the ratio of the prism's new volume to its original volume.

A.8:1
B.2:1
C.4:1
D.16:1​

Answers

Do you have a picture to go with it

Answer:4:1

Step-by-step explanation:

HELPPP
PLLS
DUE RN



WILL


GIVE BRAINLIST



X
X
X
X

Answers

It’s the last one which is 33%

Answer:

33% of the people preferred onions

can i get brainliest now lol

Rewrite the expression using exponents.
7 • 4 • 4 • 4

(Type whole numbers.)

Answers

Answer: 7×4³

Step-by-step explanation:

Answer:

7 x 4³

Step-by-step explanation:

using exponents to my understanding,

the answer vis supposed to be;

7 x 4³

PLZ HELP PLZ PLZ this is my last final plz

A restaurant sells soups and salads. Soup costs $5.50, and a salad costs $8. On a particular day, the restaurant sells 58 items and makes $371.50.
Which system of equations can be used to find the amount of soup, x, and salad, y, the restaurant sold?
OA
5.50x = 58
8y = 371.50
OB.
5.50x = Sy
58x = 371.50y
x + y = 58
Oc.
5.50x + 8y = 371.50
x+y = 371.50
OD.
5.50x + 8y = 58

Answers

Answer:

b

Step-by-step explanation:

Write an equivalent expression for -24 + 54n.​

Answers

Answer:

30n

Step-by-step explanation:

-24+54=30×n=30n

I needed 20 more letters so ya lol

Answer:

-6 (4-9n)

Step-by-step explanation:

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The number of Internet users in Latin America grew from 40.8 million in 2009 to 85.6 million in 2016. Use the geometric mean to find
the annual growth rate. (Round your answer to 2 decimal places.)
2
points
Mean annual growth rate
S 02 21:50
References

Answers

OH WOW STEP BY STEP









CMON DAWG





The sixth-grade class is raising money to have a
class trip at the end of the year. They began the year
with $1,500. Now they have $1,650 in the account.
What is the percent increase for the money the class
has raised?

Answers

Answer:

There is a 10 percent increase

The scores of 10 golfers were 77; 74; 78; 72; 70; 85; 71; 76; 80; 70. Calculate the mean of the dataset.

Answers

Answer:

The mean should be 75.3.

Step-by-step explanation:

[tex]\frac{77+74+78+72+70+85+71+76+80+70}{10}\\\\\frac{753}{10}\\\\\boxed{75.3}[/tex]

Hope this helps!

HELP PLZZZ I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!


A survey found that 40% of shoppers at Max-a-mart like chocolate ice cream. If 20 shoppers like chocolate ice cream, how many people were surveyed?
a) 20

b) 30

c) 50

d) 100

Answers

The answer is C 50 people because if you multiply the 40 percent by 2 you get 40 people then you can divide the 40 percent and add it to the 80 percent to get 50 ( ik it’s a lot)
The answer there is 50

Find the distance between points F and H.

Answers

Answer: 8

Since both are within the same “line”—just count the squares and that’ll be the distance
Just count the square but not the lines

What is 787,452 rounded to the nearest ten thousand?

Answers

Answer:

790000

Step-by-step explanation:

Answer:

790,000

Step-by-step explanation:

A. G(X) > -6
B. All real numbers
C. G(X) < 0
D. G(X) < 10

Answers

Answer:

can't explain how but i'm confident the answer is:

A. G(X) > -6

Solve for r.

K=4r-7s

r=

Answers

Answer:

[tex]r=\frac{k+7s}{4}[/tex]

Step-by-step explanation:

6 There were 35 children and 10 adults at a cookout. What is the ratio of children to total people at the cookout?

Answers

7:9 because there are 35 children and 10 adults. Add 35 and 10 you get 35:45 then you simplify the ratio to get 7:9.

Which of the following statements best describes the difference between net income and gross profit? a. Gross profit considers operating expenses while net income does not. b. Net income considers operating expenses while gross profit does not. c. Gross profit deducts taxes while net income does not. d. Net income deducts taxes while gross profit does not. Please select the best answer from the choices provided A B C D

Answers

D. Yeah I’d say D since Gross profit does actually include operating expenses.

Answer:

its b

Step-by-step explanation:

edg 20/21

18. If an apprentice can do a piece of work in 24 days, and the apprentice and
instructor together can do it in 6 days, how long would it take the instructor to do
the work alone?
18. If an apprentice can do a piece of work in 24 days, and the apprentice and
instructor together can do it in 6 days, how long would it take the instructor to do
the work alone?

Answers

Answer:

the number of days when instructor do the work alone is 8 days

Step-by-step explanation:

Given that

The apprentice can do the work in 24 days

And, the apprentice and  instructor together can do it in 6 days

We need to find out the number of days when instructor do the work alone

So,

[tex]= \frac{1}{6} - \frac{1}{24} \\\\= \frac{4 - 1}{24} \\\\= \frac{3}{24} \\\\= \frac{1}{8} \\\\= 8[/tex]

hence, the number of days when instructor do the work alone is 8 days

PLS HELP!
Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.
6 cm
9 cm
K
5 cm

Answers

Answer:

135cm^3

Step-by-step explanation:

In desperate need. for answer 11 and 12.
Question 11 has to have an answer with explanation and
Question 12 has 3 parts. I need answers to all three with explanations for all three.

Answers

11. The answer would be 3:30 because in all it took her 3:50 minutes so subtract from 7:20 you get 3:30

Which equation is true?

Answers

Answer:

The third option

Step-by-step explanation:

[tex]\frac{-56}{8} = -7[/tex]

(-56/8)=-7 this is the correct equation because it’s just 56 divided by 8 (it’s 7) and the negative gets carried over

Given f(x) =
2 cos(7x), for x < -1
2
for x > -1
COS (1x)
What is lim f(x)?
X - - 1

Answers

Answer:

A

Step-by-step explanation:

We are given the function:

[tex]\displaystyle f(x) = \left\{ \begin{array}{ll} 2\cos(\pi x) \text{ for } x \leq -1 \\ \\ \displaystyle \frac{2}{\cos(\pi x)}\text{ for } x > -1 \end{array} \right.[/tex]

And we want to find:

[tex]\displaystyle \lim_{x\to -1}f(x)[/tex]

So, we need to determine whether or not the limit exists. In other words, we will find the two one-sided limits.

Left-Hand Limit:

[tex]\displaystyle \lim_{x\to-1^-}f(x)[/tex]

Since we are approaching from the left, we will use the first equation:

[tex]\displaystyle =\lim_{x\to -1^-}2\cos(\pi x)[/tex]

By direct substitution:

[tex]=2\cos(\pi (-1))=2\cos(-\pi)=2(-1)=-2[/tex]

Right-Hand Limit:

[tex]\displaystyle \lim_{x\to -1^+}f(x)[/tex]

Since we are approaching from the right, we will use the second equation:

[tex]=\displaystyle \lim_{x\to -1^+}\frac{2}{\cos(\pi x)}[/tex]

Direct substitution:

[tex]\displaystyle =\frac{2}{\cos(\pi (-1))}=\frac{2}{\cos(-\pi)}=\frac{2}{(-1)}=-2[/tex]

So, we can see that:

[tex]\displaystyle \displaystyle \lim_{x\to-1^-}f(x)=\displaystyle \lim_{x\to -1^+}f(x) =-2[/tex]

Since both the left- and right-hand limits exist and equal the same thing, we can conclude that:

[tex]\displaystyle \lim_{x \to -1}f(x)=-2[/tex]

Our answer is A.

Answer:

AAAAAAAAAAAAAAAAA

Step-by-step explanation: EDGE 2022

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