2. The velocity of an object in motion is given by the function y(t)=-78.4t + 288 where vt is the velocity of the object in meters per second at time t.

B. After how many seconds does the object momentarily come to rest and then change directions?​

Answers

Answer 1

Answer:

t = 3.7 seconds

Step-by-step explanation:

Linear Modeling

The velocity of an object is modeled by the function

v(t) = -78.4t + 288

Where v is expressed in m/s and t is expressed in seconds.

The velocity is a vector, therefore its sign indicates its direction. If the object is at rest, then its velocity has a magnitude of zero.

To find when the object comes to rest, we set the velocity to 0:

-78.4t + 288 = 0

Now solve for t. Subtracting 288:

-78.4t = -288

Dividing by -78.4:

t = -288 / -78.4

t = 3.7 seconds


Related Questions

In order to make a necklace, Alicia purchased a bag of 80 beads for a total of $39. Some of the beads were sterling silver and cost $.40 each, and the rest were gemstone beads that cost $.65 each. How many of each type of bead were in the bag? Please show your work!

Answers

Answer:

20 in each bag

Step-by-step explanation:

e(x) = -x + -6
Find e(-2)

Answers

Answer:

I'm pretty sure it's -4

Step-by-step explanation:

If you substitute in -2, you get e(-2)= -(-2)+ -6

which is equal to 2-6

2-6=-4

Answer:

e(-2)=-4

Step-by-step explanation:

e(-2)=-(-2)+-6

=2-6

=-4

HELP ME PLEASE I NEED HELP I WILL GIVE BRAINLIST

Answers

Answer:

The second choice. About 1 cup.

Step-by-step explanation:

1/8 + 4/5 = 37/40

Thats around 1 full cup.

            (っ◔◡◔)っ ♥ Hey Honey Here!

Answer:

♥B♥ about 1 cup!

Im pretty sure!

                                    ♥  お力になれて、嬉しいです!

Write the slope intercept form of the equation. PLEASE HELP

Answers

Answer:

8. D

10. D

12. B

if the lines are parallel, then the slopes are the same. if it's a perpendicular line then the slope is the opposite reciprocal.

what does 900+900+900=

Answers

Answer:

2,700

Step-by-step explanation:

thx for da points tee hee

Answer:

2700

Step-by-step explanation:

What is BC?

BC= units

Answers

Answer:

You just typed the answer, it's units

Step-by-step explanation:

Answer:

Heyyy Its me CJ

Step-by-step explanation:

Hshsudidjc

89,235 written in expanded form? (2 points)

a
8 x 10,000 + 9 x 1,000 + 2 x 100 + 3 x 10 + 5 x 1

b
8 x 10,000 + 9 x 1,000 + 2 x 100 + 3 x 10 + 5 x 5

c
8 x 100,000 + 9 x 10,000 + 2 x 1,000 + 3 x 100 + 5 x 10

d
8 x 80,000 + 9 x 9,000 + 2 x 200 + 3 x 30 + 5 x 5

Answers

A because, all the numbers multiplied by those factors equals their spot in the number

c) The first five terms of a sequence are shown below; 13, 9, 5, 1, -3 . Find the nth term of this sequence​

Answers

Answer:

-7

Step-by-step explanation:

because they are going down by 4. So just subtract 4.

Please answer. Have to find what numbers make that equation true

Answers

Answer:

(x+8y)(x-8y)

Step-by-step explanation:

8 squared is 64 and so is y for y^2.

One positive and a negative turns into a negative, so that's why it's only one.

Evaluate this expression:
(5+5)-(5+5)

Answers

Answer:

0

Step-by-step explanation:

=(5+5)-(5+5) <-- Do what's inside the parenthesis first

=10 - 10 <-- Subtract

=0

Question 3: On a recent math quiz, 20 of the 32 students who took the
quiz used a pen and the rest used a pencil. Which of the following is the
ratio of the students who used a pen to those who used a pencil? *
5 to 3
5 to 8
8 to 5
O 13 to 8

Answers

Answer:

5 to 8

Step-by-step explanation:

bc u divide the numerator and denominator by 4

The sum of three times a number (2) and -23 is 28.

Answers

Answer:

x = 17

Step-by-step explanation:

3x + -23 = 28

3x - 23 = 28

3x = 28 + 23

3x = 51

x = 51/3

x = 17

The following system of equations is given below:


\large -5x+y=-18


\large -10x-5y=20


Which of the following steps is not suitable to solve this system by elimination?


a. Multiply the first equation by 2 and then subtract the equations from each other.

b. Multiply the first equation by -5 and then add the equations together.

Selected:c. Multiply the first equation by 5 and then add the equations together.This answer is incorrect.

d. Multiply the first equation by -2 and then add the equations together.

Answers

Answer:

both b and c are correct options

The accompanying data represent the miles per gallon of a random sample of cars with a three-cylinder, 1.0 liter

engine.


32.7, 35.7, 38.0, 38.7, 40.1, 42.3, 34.3, 36.2, 38.1, 39.0, 40.6, 42.9, 34.5, 37.4, 38.3, 39.4, 41.4, 43.4, 35.3, 37.6, 38.5, 39.7, 41.7, 48.9





(a) Compute the z-score corresponding to the individual who obtained 38.1 miles per gallon. Interpret this result.


The z-score corresponding to the individual is __ and indicated the date value is __ standard decoration(s) __(below/above) the __(mean/median)

(b) Determine the quartiles.

(c) Compute and interpret the interquartile range, IQR.

(d) Determine the lower and upper fences. Are there any outliers?

Answers

Answer:

A) Z = -0.24

We can interpret this as the z-score corresponding to the individual who obtained 38. 1 miles per gallon is -0.24.

B) Q1 = 36.8 and Q3 = 41

C)IQR = 4.2

This means that the distance between the first and third quartile is 4.2

D) LF = 30.5 and UF = 47.3

the only outlier is 48.9 which is more than UF

Step-by-step explanation:

We are given the data representing the miles per gallon of a random sample of cars with a three-cylinder as;

32.7, 35.7, 38.0, 38.7, 40.1, 42.3, 34.3, 36.2, 38.1, 39.0, 40.6, 42.9, 34.5, 37.4, 38.3, 39.4, 41.4, 43.4, 35.3, 37.6, 38.5, 39.7, 41.7, 48.9

Sum of data is;

ΣX = 32.7 + 35.7 + 38.0 + 38.7 + 40.1 + 42.3 + 34.3 + 36.2 + 38.1 + 39.0 + 40.6 + 42.9 + 34.5 + 37.4 + 38.3 + 39.4 + 41.4 + 43.4 + 35.3 + 37.6 + 38.5 + 39.7 + 41.7 + 48.9 = 934.7

Formula for mean is;

μ = ΣX/n

μ = 934.7/24

μ = 38.95

Formula for sample standard deviation of is;

s = √[(1/(n - 1))Σ(X - μ)²]

From online calculator, we have a value of;

s = 3.505

A) Formula for z-score is;

Z = (x - μ)/s

We are given x = 38.1

Thus;

Z = (38.1 - 38.95)/3.505

Z = -0.24

We can interpret this as the z-score corresponding to the individual who obtained 38. 1 miles per gallon is -0.24.

B) Arranging the set of given values in ascending order, we have;

32.7, 34.3, 34.5, 35.3, 35.7, 36.2, 37.4, 37.6, 38.0, 38.1, 38.3, 38.5, 38.7, 39.0, 39.4, 39.7, 40.1, 40.6, 41.4, 41.7, 42.3, 42.9, 43.4, 48.9

Number of data; n = 24

First quartile is;

Q1 = ((n + 1)/4)th = ((24 + 1)/4)th = 25/4 = 6.25th term

Thus, we will find the average of the 6th and 7th term;

Q1 = (36.2 + 37.4)/2

Q1 = 36.8

Similarly;

Q3 = ¾(n + 1)th = ¾(24 + 1)

Q3 = ¾ × 25 = 18.75th term

Thus, we will find the average of the 18th and 19th term.

Q3 = (40.6 + 41.4)/2

Q3 = 41

C) Formula for inter quartile range is;

IQR = Q3 - Q1

IQR = 41 - 36.8

IQR = 4.2

This means that the distance between the first and third quartile is 4.2

D) Formula for lower fence is;

LF = Q1 - (1.5 × IQR)

LF = 36.8 - (1.5 × 4.2)

LF = 30.5

Formula for upper fence is;

UF = Q3 + (1.5 × IQR)

UF = 41 + (1.5 × 4.2)

UF = 47.3

Now, an outlier will be any values in the given set less than LF or more than UF.

From the given set, the only outlier is 48.9 which is more than UF

are there instances that rational algebraic equation can be transformed into quadratic equation​

Answers

Answer:

yeah

Step-by-step explanation:

hmm

Answer:

yes you can

Step-by-step explanation:

for example you have a second order algebraic equation, which have the general form ax^2 + bx + c = 0, for any constants a, b, and c, you can use the quadratic equation to find the values of x. However, sometimes it is easier to simply factor the expression into (fx+g)(hx+i) = 0, for any constants f, g, h, and i, and then solve the two resulting equations fx+g = 0 and hx+i=0 for the values of x.

i hope this helps

HELP 50 POINTS

Could I get like an explanation so I know how to do this since its 50 points?

Answers

Answer: #2

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

If on a scale drawing 75 feet are represented by 45 inches, then a scale of 1/5 represents how many feet

Answers

Answer:

1/3 feet

Step-by-step explanation:

We are given that

On a scale drawing

45 inches represented =75 feet

We have to find a scale of 1/5 inch how many feet represents.

To find the value in feet represented by  a scale of 1/5 inch we will use unitary method.

Using unitary method

45 inches represents =75 feet

1 inch represents = feet

1/5 inch represents = feet

1/5 inch represents= feet

Hence, a scale of 1/5 inch represents 1/3 feet

Please mark brainliest, thank you

ANSWER ASAP GIVING BRAINLIEST!
A chemical reaction in a light stick causes it to give off a glowing green light. Explain why the reaction is endothermic or exothermic.

Answers

Answer:

The chemical reaction is due to chemical change in the chemicals within the light stick so it shows off color.

Step-by-step explanation:

The chemicals in the light stick interact with each other. This cause them to come together and give off a color of light.

(X+y)^16 what is the answer


Answers

Use the Binomial Theorem to expand.

Distribution
Save
Score: 0 of 2 pts
4 of 7 (3 complete)
HW Score: 20.83%, 5 of 24 p
17.3.45
Question Help
As part of a research project, the blood pressures of 2000 patients in a hospital are recorded. The systolic blood pressures (given in millimeters) have
an approximately normal distribution with mean y = 122 and standard deviation o = 15. Use the 68-95-99.7 rule to complete the following.
(a) Estimate the number of patients whose blood pressure was between 92 and 167 millimeters.
(b) Estimate the number of patients whose blood pressure was between 92 and 137 millimeters.

Answers

17.4567778844444456899776654

2. Select the solution for the system of linear equations y = 3x + 4 and y = x + 2.
A. (-1,1)
B. (1,-1
C. (-1,-1)
D. (1,1)

Answers

Brainliest please I’m tryna rank up

Which expression is
equivalent to 25x + 12 ?

Answers

Answer:

Step-by-step explanation:

What are the choices?

Here is a list of numbers 15 6 8 7 12 1 5 8 4 3 state the median

Answers

Answer:

The median is 6.5

Some one please answer

Answers

Answer:

A and D

Step-by-step explanation:

0.45 - 0.23 = 0.22

0.45(8) = 3.60

g One card is selected randomly from a standard​ 52-card deck. a. What is the probability of drawing a ​

Answers

Answer:

Probability [Getting a red card] = 1/2

Step-by-step explanation:

Given:

Total number of cards = 52

Find:

Probability [Getting a red card]

Computation:

Total number of red cards = 26

Probability [Getting a red card] = 26/52

Probability [Getting a red card] = 1/2

I need help trying to find any fractions that are not in simplest form. (there should be a screenshot below. I dont know the hidden word that is supposed to go in the box... Reply if you understand..

Answers

Answer:

Denominator is the hidden word.

Step-by-step explanation:

8/18, 9/27, 42/48, 21/70, 14/35, 8/30, 15/39, 18/100, 8/64, 70/98, and 63/81 are all not in simplest form. Their letters (ENAMNIODOTR) unscramble to "denominator."

Let z = 19 + i and w = 4 + 10i.

What is the first step in determining zw?

Replace i2 with –1.
Multiply z by the conjugate of w.
Apply the distributive property or FOIL.
Combine the corresponding real and imaginary parts.

EDGE

Answers

In the first step apply the distributive property or FOIL to find zw. Option C is correct.

Given that,
Let z = 19 + i and w = 4 + 10i.
The first step is to be determined.

What is a complex number?

The number that constitute of real and imaginary numbers are called a complex numbers. Complex number is represents as z = a + ib, where a = real number and bi = imaginary number

z = 19 + i and w = 4 + 10i
in order to find the product of complex numbers z and w following are the steps,
z.w =   ( 19 + i )( 4 + 10i )

Step ⇒ 1
Applying distributive law,
   z.w = 19 * ( 4 + 10i ) + i * ( 4 + 10i )
Step ⇒ 2
opening the parenthesis,
z.w = 19 * 4 + 19*10i + i * 4 + i * 10i
similarly, further steps are
z.w = 76 + 190i +4i + 10i²
since i² = -1
z.w = 76 + 194i - 10
z.w = 66 + 194i

Thus, in the first step apply the distributive property or FOIL to find zw. Option C is correct.


Learn more about complex numbers here: https://brainly.com/question/28007020

#SPJ2

Answer:

C

Step-by-step explanation:

Apply the distributive property of FOIL

1. un numar se mareste cu 4 iar rezultatul se mareste de 4 ori. noul rezultat micsorat cu 4 se imparte la 4 si se obtine 4.aflati numarul

Answers

Răspuns:

1

Explicație pas cu pas:

Fie numărul = x

x + 4 = e - - (1)

e * 4 = f - - - (2)

Ecuația 2 - 4 împărțită la 4 = 4

(f - 4) / 4 = 4

Crucea se înmulțește

f - 4 = 16

f = 16 + 4

f = 20

Rezultatul 1 împărțit la 4 este egal cu 4

Prin urmare,

e = f / 4

f = 20

e = 20/4

e = 5

De la (1)

x + 4 = e

x + 4 = 5

x = 5 - 4

x = 1

Answer:

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

laura spent 2/5 of her money now she has $18 left how much money did she have origanily

Answers

Answer:

Money Laura had originally = $30

Step-by-step explanation:

Let the money Laura had =  x

Money spent = 2/5 of x = [tex]\frac{2}{5}x[/tex]

Remaining money  = $ 18

[tex]x - \frac{2}{5}x = 18\\\\\frac{x*5}{1*5}-\frac{2}{5}x = 18\\\\\frac{5x}{5} - \frac{2x}{5} = 18\\\\\frac{3x}{5}=18\\\\ 3x = 18*5\\\\3x = 90\\\\x = \frac{90}{3}\\\\x = 30[/tex]

Money Laura had originally = $30

50 POINTS!!!!Perpendicular Bisectors meet at the Circumcenter. What is the measure of BD?
20
15
25
24

Answers

Answer:20 degrees

Step-by-step explanation:

I am pretty sure it is 20 degrees
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