At time t ≥ 0, the velocity of a body moving along the s-axis is v = t² -5t +4. When is the body moving backwards

Check comments for multiple choice answers

Answers

Answer 1

Answer:

A

Step-by-step explanation:

The velocity of a moving body is given by the equation:

[tex]v=t^2-5t+4 ,\, t\geq0[/tex]

Is the velocity is positive (v>0), then our object will be moving forwards.

And if the velocity is negative (v<0), then our object will be moving backwards.

We want to find between which interval(s) is the object moving backwards. Hence, the second condition. Therefore:

[tex]v<0[/tex]

By substitution:

[tex]t^2-5t+4<0[/tex]

Solve. To do so, we can first solve for t and then test values. By factoring:

[tex](t-4)(t-1)=0[/tex]

Zero Product Property:

[tex]t=1, \text{ and } t=4[/tex]

Now, by testing values for t<1, 1<t<4, and t>4, we see that:

[tex]v(0)=4>0,\, v(2)=-2<0,\,\text{ and } v(5)=4>0[/tex]

So, the (only) interval for which v is <0 is the second interval: 1<t<4.

Hence, our answer is A.


Related Questions

The temperature in Tampa increased from 4 a.m. to 4 p.m. on one day in February the tables of values below represents temperatures as a function of time

Answers

Answer:

from 6:53 a.m. to 8:53 a.m.

Step-by-step explanation:

:)

Divide. Give the Divide. Give the quotient and remainder.
254 divided 8

Quotient:

Remainder:

Answers

Step-by-step explanation:

254 = 8 * 30 + 8 * 1 + 6

= 8(30 + 1) + 6

= 8 * 31 + 6.

Hence the quotient is 31 and the remainder is 6.

Answer:

254/8=31.75

Step-by-step explanation:

The remainder of 254 divided by 8 is 6

Write -4.74 as a mixed number

Answers

Answer:

4.75 = 475/100 = 19/4 = 4 3/4

Approximate value(s):

4.75 =~ 4 (error = -15.789473%)

[tex] - 4.74[/tex]

[tex] = - 4 + 0.74[/tex]

[tex] = - 4 + \frac{74}{100} [/tex]

[tex] = - 4 + \frac{37}{50} [/tex]

[tex] - 4 \frac{37}{50} [/tex]

Javier is considering two options for college.
Option A: Complete the first two years of schooling at a community college
and then transfer to a university.

Option B: Complete all four years of schooling at the university.
Community College Financial Analysis
Costs per Year
Financial Aid Package per Year
Tuition & Fees
Scholarships & Grants
$3,000
$1,000
Room & Board

$1,000


University Financial Analysis
Costs per Year
Financial Aid Package per Year
Tuition & Fees
Scholarships & Grants
$10,000
$15,000
Room & Board
Work-Study
$11,500
$4,000

Which statement about the cost of the options is true?
Option B will save him $1,000.
Option B will save him $2,000.
Option A will save him $14,000.
Option A will save him $17,500.

Answers

Answer:

A

Step-by-step explanation:

I got it right in Edginuity.

Answer:

A

Step-by-step explanation:

HELP PLEAASE I AM GOING TO EXPLODE WITH SAD WILL GIVE BRAINLIEST

Answers

Answer:D

Step-by-step explanation:i don’t know I’m guessing

Two cars start from the same point and move in a straight line, one east at a speed of 60 km per hour and the other west at a speed of 80 km per hour. After what time will they live at a distance of 770 km?

Answers

Answer:

5.5 hours

Step-by-step explanation:

Given that :

Speed of A = 60 kmphr

Speed of B = 80 kmphr

After what time will distance = 770 km

Speed * Time = Distance

Let time = x

Distance A + Distance B = 770

(60 * x) + (80 * x) = 770

60x + 80x = 770

140x = 770

x = 770 / 140

x = 5.5 hours

Four points are labeled on the number line.Which point represents the value |-1 1/2|?

Answers

Answer: -1

Step-by-step explanation:

i really don't know but i was taking a test and i guessed it and it was right

Answer:

Point Q   -0.5

Step-by-step explanation:

Negative 1/2 is equal to -0.5

A family on vacation traveled 180 miles in 3 hours. If their rate of speed was constant,
how many miles did they travel in one hour?
O 180 miles
O 540 miles
60 miles
54 miles

Answers

Answer:

Step-by-step explanation:

180/3=60

so 60 miles

Answer:

60 miles

Step-by-step explanation:

Since their speed is constant, you just do 180 miles divided by 3 hours to get 60 miles per hour.

On Saturday, Mrs. Colton buys 2
soda cans for $1.50. On Sunday.
she spends $2.52 on a 4-pack.
Which is a better deal?

Answers

Jerry bud the 4 pack is better

Help me I am stuck ❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️❕❗️

Answers

Answer:

8. x=-5 and y=7

9. x=-2 and y=0

10. x=-6 and y=-10

11. x=8 and y=-4

12. x=9 and y=-9

13.x=4 and y=10

14. x=5 and y=-7

Step-by-step explanation:

Answer:

8. x=-5 and y=7

9. x=-2 and y=0

10. x=-6 and y=-10

11. x=8 and y=-4

12. x=9 and y=-9

13.x=4 and y=10

14. x=5 and y=-7

Step-by-step explanation:

In the expression -3g + 12, how many terms are in the expression? *
1
2
3
4
Which expression has three terms? *
5x + kr
3ab
6 + x - 2y
4p + 2

Answers

Answer:

There are 1 terms.

5x+kr has 3 terms

Step-by-step explanation:

-3g has 1 term. 12 has none. so it is 1

5x has 1 term and kr has 2 terms and 2+1 is 3 terms.

Determine whether each sequence is arithmetic, geometric, or neither. Then find a formula for the nTh term of the sequence 2/5,3/6,4/7,5/8

Answers

Step-by-step explanation:

3/6 - 2/5 = 0.1

4/7 - 3/6 = 0.071

5/8 - 4/7 = 0.053

Since there is no common difference d, the sequence is not arithmetic.

(3/6) / (2/5) = 1.25

(4/7) / (3/6) = 1.14

(5/8) / (4/7) = 1.09

Since there is no common ratio, the sequence is not geometric.

Hence the sequence is neither an AP or GP.

Formula for nth term: (n + 1)/(n + 4).

Answer:

Try!

Step-by-step explanation:

10 x 1/2+(-6)(-3) simplified in steps

Answers

Answer:

23

Step-by-step explanation:

Remember PEMDAS/order of operations (Parentheses, exponent, multiplication, division, addition, subtraction)

10*1/2+(-6)(-3)

10*1/2+18

5+18

23

Determine the x-intercept of the line whose equation is given: Y = 4x + 2

a. (0, 2)
b. (-2, 0)
c. (0, - 1/2
d. (- 1/2, 0)​

Answers

Answer:

d

Step-by-step explanation:

Your boss sends you an email and explains that your fourth location is to Ellis Island to visit the Statue of Liberty. She emails you a scale drawing that one of the architectures in Spain created. On the scale drawing, a scale of 1/61 <—(a fraction) (inches to feet) was used, the height of the statue was 5 inches. How tall is the Statue of Liberty?

(Please explain thoroughly step by step on how you solved the problem.If you can,please provide an image on how you solved the problem.)

Answers

Answer:

305 feet

Step-by-step explanation:

We can name the actual height x so we get the equation [tex]\frac{1}{61}x = 5[/tex]. Multiply both sides by 61 to get [tex]x=305[/tex]. The answer would be feet because it wouldn't make sense if the statue of liberty was 305 inches

I GIVEEEEEE BRAINLILSTER

Answers

D , he will travel 54 miles

Answer:

D 54 I did this

Step-by-step explanation:

Identify whether each phrase is an expression, equation, or inequality​

Answers

Answer:

Top stays the same

Middle and bottom switch

Step-by-step explanation:

Which statement is true about the value of 1-512
It is the distance that -5 is from 0 on the number line,
It is the distance that -5 is from 5 on the number line.
O It is less than 5.
It is greater than 5.

Answers

Answer:

It is the distance that -5 is from 0 on the number line

Step-by-step explanation:

I learned this last month

Hope this helps

Answer:

A. It is the distance that -5 is from 0 on the number line.

Step-by-step explanation:

The question should read:Which statement is true about the value of |-5| ?Solution

This is about absolute value. It is always positive. The choices:

A. It is the distance that -5 is from 0 on the number line.

Correct, the distance 0 to -5 is actually 5 and its true.

B. It is the distance that -5 is from 5 on the number line.

Incorrect, it would make 5 - (-5) = 10 units

C. It is less than 5.

Incorrect, its exactly 5

D. It is greater than 5

Incorrect, its exactly 5.

drag the dot (-5,-9),amd then select its location on the coordinate plane .


Answers

Answer:

The diagram is attached below which shows the location of the point (-5, -9)

Step-by-step explanation:

Given the point

(-5, -9)

The location of the point (-5, -9) can be determined by locating the point at x=-5 and y = -9.

Please check the attached diagram where I located the point (-5, -9).

From the attached diagram, it is clear that:

Moving 5 units to the left from the origin (0, 0) and then moving 9 units down would get us to the location x = -5 and y = -9.

The diagram is attached below which shows the location of the point (-5, -9)

what is the diameter of a circle of area 3850 m square​

Answers

Answer:

70.01

steps by-step explanation:

What is the awnser please!! -5r + 6 < -5(r + 2)

Answers

Maybe the answer is “no solution” or “false”? If you try solving it, you end up with 6<-10 which is false for any value of x so yeah! Hope this helps! :)

Fran used a graphics program to reduce a
digital image. The original dimensions of the
image were 20 cm wide by 12 cm long. She
used a scale factor of 0.6. What are the
dimensions of the reduction?

Answers

Answer:

The reduced dimensions are:

Width = 12 cm

Length = 7.2 cm

Step-by-step explanation:

Original dimensions of Image:

Width = 20 cm

Length = 12 cm

Fran reduced the dimensions using a scale factor of 0.6

We need yo find dimensions of reduction.

We would multiply the original dimensions by 0.6 to find the new dimensions.

So, Width = 20 * 0.6 = 12

length = 12 * 0.6 = 7.2

So, the reduced dimensions are:

Width = 12 cm

Length = 7.2 cm

the standard ratio of a photo's width to it's length is 2/3. what is the length of a photo that has a width of 14 inches?

A. 9.3
B. 17
C. 20
D.21​

Answers

l: w

Equation

2/3 = 14/ x

Cross multiply

2xX = 14x3

2x = 42

Eliminate

2x/2 = 42/2

X = 21

Answer:

The answer is D.21.

Step-by-step explanation:

You have to divide 14 by 2/3 and you get 21.

PLZ mark me Brainliest!

geometry help please!!

Answers

Answer:

a. 75°

Step-by-step explanation:

[tex] m\angle A = m\angle C... (given) [/tex]

[tex] (2x+15)\degree = (3x - 15)\degree [/tex]

[tex] 2x+15 = 3x - 15 [/tex]

[tex] 2x - 3x=-15-15[/tex]

[tex] - x=-30[/tex]

[tex] x=30[/tex]

[tex]\because m\angle A = (2x+15)\degree [/tex]

[tex]\therefore m\angle A = (2\times 30+15)\degree [/tex]

[tex]\therefore m\angle A = (60+15)\degree [/tex]

[tex]\therefore m\angle A = 75\degree [/tex]

Simplify to create an equivalent expression6(7-3y)+6(y+1)

Answers

Answer:

48-12y

Step-by-step explanation:

6(7-3y) + 6(y+1)

distribute the 6 on both parentheses

42-18y+6y+6

combine like terms

42-12y+6

combine like terms again

48-12y

The probability of selecting 3 female employees and 7 male employees to win a promotional trip a company with 10 female and 50 male employees would best be modeled with the _______.

Answers

Answer:

The best model is hypergeometric distribution.

Step-by-step explanation:

The probability would be best modeled with hypergeometric distribution.

Hypergeometric distribution is a discrete probability distribution that describes the probability of successes in draws, without replacement, which is often employed in random sampling for statistical quality control.

The hypergeometric distribution differs from the binomial distribution in the lack of replacements.

Thus, the best model is hypergeometric distribution.

Given ΔMNO, find the measure of ∠MNO.
Triangle MNO with segment LM forming a straight angle with segment MO and segment OP forming a straight angle with segment MO, the measure of angle NOP is 104 degrees, and segment MN and NO are marked congruent.
28 degrees
38 degrees
52 degrees
76 degrees
I know the answer is 28 degrees , I just am not sure how to work out this problem .

Answers

Answer:10907

Step-by-step explanation 10907

Answer:

The answer is 28

Step-by-step explanation:

Hope this helps,

have a great day

John runs a computer software store. Yesterday he counted 137 people who walked by the store, 56 of whom came into the store. Of the 56, only 25 bought something in the store.
A) Estimate the probability that a person who walks by the store will enter the store.B) Estimate the probability that a person who walks into the store will buy something.C) Estimate the probability that a person who walks by the store will come in and buy something.D) Estimate the probability that a person who comes into the store will buy nothing.

Answers

Answer:

John's Computer Software Store

A) Probability that a person who walks by the store will enter the store:

= 41%

B) The probability that a person who walks into the store will buy something:

= 45%

C) The probability that a person who walks by the store will come in and buy something:

= 18%

D) The probability that a person who comes into the store will buy nothing:

= 55%

Step-by-step explanation:

a) Data and Calculations:

Number of people who walked by the store yesterday = 137

Number of those who came into the store = 56

Number of people who came into the store and bought something = 25

Number of people who came into the store and bought nothing = 31 (56 - 25)

A) Probability that a person who walks by the store will enter the store:

= 56/137

= 0.4087

= 0.41

= 41%

B) The probability that a person who walks into the store will buy something:

= 25/56

= 0.4464

= 0.45

= 45%

C) The probability that a person who walks by the store will come in and buy something:

= 56/137 * 25/56

= 0.41 * 0.45

= 0.1845

= 0.18

= 18%

D) The probability that a person who comes into the store will buy nothing:

= 31/56

= 0.5536

= 0.55

= 55%

Find the distance between the points (-12.3, 15.1) and (17.5, 2). Round your answer to the
nearest hundredth.

Answers

Answer:

32.55

Step-by-step explanation:

d = 32.552266

For:

(X1, Y1) = (-12.3, 15.1)

(X2, Y2) = (17.5, 2)

Distance Equation Solution:

d=(17.5−(−12.3))2+(2−15.1)2−−−−−−−−−−−−−−−−−−−−−−−−−√

d=(29.8)2+(−13.1)2−−−−−−−−−−−−−−−√

d=888.04+171.61−−−−−−−−−−−−−√

d=1–√059.65

d=32.552266

could be confusing.

Maya's penny bank is 3/4 full. After she removes 280 pennies, it is 1/2 full. How many pennies can Maya's bank hold?

Answers

Answer:

1120

Step-by-step explanation:

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