A bug is moving back and forth on a straight path. The velocity of the bug is given by vt=t2-3t. Find the average acceleration of the bug on the interval 1, 4.

Answers

Answer 1

Answer:

2 unit/time²

Step-by-step explanation:

Given the equation:

v(t) =t^2-3t

At interval ; 1, 4

V(1) = 1^2 - 3(1)

V(1) = 1 - 3

V(1) = - 2

At t = 4

V(4) = 4^2 - 3(4)

V(4) = 16 - 12

V(4) = 4

Average acceleration : (final - Initial Velocity) / change in time

Average acceleration = (4 - (-2)) ÷ (4 - 1)

Average acceleration = (4 + 2) / 3

Average acceleration = 6 /3

Average acceleration = 2


Related Questions

How do I factor this using foil (factoring trinomials)

Answers

Hello there,

To factorise such type of trinomial :-

First multiply first and third term of that trinomial.Then Factorise the Product of those two terms.After doing that You have to Just arrange the Factors of the product in such a way that you get the middle term.

A circular pool has a diameter of 25 feet. A 2-foot-wide sidewalk borders the entire pool. What is the approximate circumference of the outside edge of the sidewalk?

Answers

Answer:

84.834 in

Step-by-step explanation:

Given data

Diameter of pool= 25 ft

Width of side walk= 2ft

Hence the diameter of the pool and the sidewalk combined= 25+2= 27ft

The radius of the pool and the sidewalk combined= 27/2= 13.5ft

Circumference= 2πr

Circumference= 2*3.142*13.5

Circumference= 84.834 in

Hence the circumference is 84.834 in

3. Which name does not apply to the angle pair?
A. vertical
C. supplementary
B. adjacent
D. right angles
12

Answers

C.supplementary is the right one

Answer:

D. right angle

Step-by-step explanation:

I think D is because

right angle is a an angle of exactly 90°

*adjacent angle is two angles with a common vertex, sharing a common side and no overlap

*supplementary angle is two angle, the sum of who's measure is 180

* vertical angle is two angle who's sides form two pairs of opposite rays (straight line)

Will mark brainliest

Answers

11) reflection
12) rotation
13) transition
14) yes 180 rotation

Hope it’s right
Best luck with your studying

The ratio on a keyboard of number keys to letter keys is 5:13. If a manufacturer produced 156 letter keys , then how many number keys would need to be produced?

Answers

Answer:

60 number keys would need to be produced

Step-by-step explanation:

5 : 13

? : 156

156 / 13 = 12

5 x 12 = 60

[ASPS]WILL GIVE BRAINLIEST

Answers

Answer:

hi

Step-by-step explanation:

you should know that the sum of interior angles of a hexagon is 720 so

[tex]4x - 10 + 2x + 8 + x - 12 + 7x + 3x + 135 = 720 \\ 17x = 121 \\ x = \frac{121}{17} = 7.11764[/tex]

Shed A and Shed B are both rectangular prisms. Shed A has a length 6½ feet, width 6½ feet, and height 8½ feet. Shed B has length and width twice as long as Shed A, but has the same height. What is the volume of Shed B?

Answers

Answer:

1436.5 ft^3

Step-by-step explanation:

Shed B

L = 2* 6.5 = 13

W = 2*6.5 = 13

H = 8.5

Formula

Volume = L*w*h

Solution

Volume = 13 * 13 * 8.5

Volume = 1436.5

8x – 3 = -19

Who give it fast they have branliest
Give the correct answer step by step​

Answers

Answer:

x= -2

Step-by-step explanation:

[tex]8x - 3 = - 19[/tex]

Collect like terms and simplify

[tex]8x = - 19 + 3 \\ 8x = - 16[/tex]

Divide both sides of the equation by 8

[tex] \frac{8x}{8} = \frac{ - 16}{8} [/tex]

Simplify

[tex]x = - 2[/tex]

Answer:

x=2

Step-by-step explanation:

hope it helps :)

Round 1 of a tennis tournament starts with 64 players. After each round, half of the players have lost and are eliminated from the tournament. Therefore, in round 2 there are 32 and in round 3 there are 16 players and so on. Can this relationship be modeled by a linear function? Provide evidence to support your claim.

Answers

Answer:

It can not be modeled by a linear function

Step-by-step explanation:

The given parameters can be represented as:

[tex](x_1,y_1) = (1,64)[/tex]

[tex](x_2,y_2) = (2,32)[/tex]

[tex](x_3,y_3) = (3,16)[/tex]

Where: x = rounds and y = players

Required:

Determine if it can be represented by a linear function

To do this, we simply calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

and

[tex]m = \frac{y_3 - y_2}{x_3 - x_2}[/tex]

Using: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex], we have:

[tex]m = \frac{32 - 64}{2 - 1}[/tex]

[tex]m = \frac{-32}{ 1}[/tex]

[tex]m = -32[/tex]

Using [tex]m = \frac{y_3 - y_2}{x_3 - x_2}[/tex], we have:

[tex]m = \frac{16 - 32}{3 - 2}[/tex]

[tex]m = \frac{-16}{1}[/tex]

[tex]m = -16[/tex]

Since both slopes are not the same, the relationship be modeled by a linear function

Change 0.2 into a fraction in its lowest terms with working

Answers

Answer:

1/5

Step-by-step explanation:

0.2

=2/10

=1/5

Answer:

1/5

Step-by-step explanation:

2/10 ÷ 2/2 = 1/5 and 0.2 equals 2/10 or 1/5

I need help with this can anyone please help

Answers

Answer:

56

Step-by-step explanation:

4*7*2 is 56

Hope that helps and please tell me if I am wrong

convert to scientific notation.
0.00000000000078432
a) 7.8432×10^13
b) 8×10^-12
c) 7.8432×10^-13
d) 7×10^-13​

Answers

Answer:

7.8432 × 10^-13

Step-by-step explanation:

You and your friend are selling tickets to a charity event. You sell two adult tickets and six student tickets for $12. Your friend sells for adult tickets and 15 student tickets for $27. What is the cost of each ticket?

Answers

Your friend sells "for"adult tickets and 15 student tickets for $27, I think you meant "four" adult tickets and 15 student tickets for $27.

Answer:Adult ticket costs $3

Student ticket cost $1

Step-by-step explanation:

Let the cost adult ticket be represented as X

And cost student tickets be represented as y

Such that two adult tickets and six student tickets for $12 would be expressed as

2x+6y=12

And

four adult tickets and 15 student tickets for $27.

4x+15y=27

The equations to solve becomes

2x+6y=12-----equation 1

4x+15y=27------equation2

Solving

Multiply equation 1by 4 and equation 2by 2

8x+24y=48---equation 3

8x+30y=54-----equation4

Subtracting equation 3from equation 4

6y=6

Y=6/6

Y=1

Putting the value of y=1in equation 1and solving for x becomes

2x+6y=12

2x+6x1=12

2x=12-6

2x=6

X=6/2=3

Adult ticket costs $3

Student ticket cost $1

Solve for the variable

Answers

Answer:

1.5

Step-by-step explanation:

Answer:

2/3 or 0.6 equals x

Step-by-step explanation:

8) help pls I have the answer I just need to show the work

Which trigonometric function would you use to find “h”, the height of the tree?

Answer: C

Answers

Answer:

C

Step-by-step explanation:

Sine: Opposite / Hypotenuse

Cosine: Adjacent / Hypotenuse

Tangent: Opposite / Adjacent

75 = The adjacent of 40

H = The opposite of 40

Tan40 = 75 / h

H = 75Tan40

H ≈ 62.93

The trigonometric function which will be used to determine the height of the tree when the base is 75 ft. is tan(40)

What is trigonometric function?

The trigonometric function are the ratio of the sides of the right angled triangle. The functions are sine, cos, tan , cot, cosecant, secant.

How to find the height of the tree?

We can easily see that the base is 75 ft. and the height of the tree is h So the height of the tree can be found with the help of tangent function.

tan(40)=h/75

0.84=h/75

h=63 ft.

Hence the height of the tree is 63 ft.

Learn more about the trigonometric functions at  https://brainly.com/question/24349828

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John bought a crate of floor tiles $100. The crate had 5 boxes pf floor tiles. Each box contained 40 floor tiles. Write an
equation to determine the cost per tile, t.

Answers

Answer:

i feel like were in the same school because we have the same answers, but check my recent question since people answered mine

Step-by-step explanation:

How can you use a line graph to display and analyze real- world data?

Answers

Answer:

its to show data like rainfall how many people does the teacher get per year

Step-by-step explanation:

Ms. Rivera runs a house cleaning business. To save money, she bought a 1-gallon container of concentrated cleaner. She mixed the cleaner with 10 gallons of water. Then, she filled as many 1-pint spray bottles as she could. How many spray bottles did she fill?

Answers

Answer:

88 bottles

Step-by-step explanation:

Given

[tex]Cleaner =1\ gallon[/tex]

[tex]Water =10\ gallon[/tex]

Required

Determine the number of 1-pint spray bottles used

First, we get the total gallons of the cleaner and water.

[tex]Total = Cleaner + Water[/tex]

[tex]Total = 1\ gallon + 10\ gallon[/tex]

[tex]Total = 11\ gallon[/tex]

Convert to pints:

[tex]Total = 11 * 8\ pints[/tex]

[tex]Total = 88\ pints[/tex]

To get the number of spray bottles, we divide 88 pints by the size of the pint bottle.

[tex]Number = \frac{88\ pints}{1\ pint}[/tex]

[tex]Number = \frac{88}{1}[/tex]

[tex]Number = 88[/tex]

Find the missing side:

Answers

66.13!
Hope this helps

The height, h, of a plant (in inches) w weeks since it was planted is represented by the equations h=3w+3. How many weeks will it takes the plant to reach one foot.

Answers

Answer: 3 weeks

Step-by-step explanation:

We have to note firstly that 12 inches = 1 foot.

The equation given to represent the height in the question, h = 3w + 3.

The number of weeks that it will take the plant to reach one foot will then be:

h = 3w + 3

12 = 3w + 3

3w = 12 - 3

3w = 9

w = 9/3

w = 3

It'll take 3 weeks


Please help!!! Will give brainlist!!!

Answers

Answer:

[tex]\frac{9}{14} \ chance[/tex]

Step-by-step explanation:

1. Approach

Probability is a way of predicting a future outcome based on given data. In essence, the formula for finding the probability is, [tex]\frac{desired\ outcomes}{total\ outcomes}[/tex].

It is given that

- (63) paid with cash

- (22) paid with a debit card

- (13) paid with a credit card

First, add all of these numbers up to find the total number of customers. Then set up the probability, finally, simplify the fraction by diving both the numerator and denominator by a common factor.

2. Find the total number of customers

Add up all of the given customers, regardless of their payment type.;

[tex](cash)+(credit)+(debit)\\\\= 63 + 22 + 13\\\\= 98[/tex]

(98) total customers.

3. Find the probability

Now set up the probability, remember, the formula for finding the probability is,

[tex]\frac{desired\ outcomes}{total\ outcomes}[/tex]

The desired outcome is the number of customers who pay with cash = (63)

The total outcome is the number of customers who when to the business; (98)

Substitute in the numbers and simplify,

[tex]\frac{desired\ outcomes}{total\ outcomes}[/tex]

[tex]\frac{63}{98}[/tex]

Both of these numbers are divisible by (7), hence divide the fraction by (7)

[tex]\frac{9}{14}[/tex]

Can someone help me with this

Answers

Answer:

B

Step-by-step explanation:

i think its B because the your line is in the negatives and to be specific in -5

and the line that is going to the right that means it is going to the positive so its positive infinet

Hope it's correct

Answer:

hi

Step-by-step explanation:

i think its B

you should inverse the function from x=y line

i cant explain in enlish better than this

hope this helps

if have more questions just ask

What is this supplementary angle?

Answers

Answer:

Step-by-step explanation:

Supplementary angles sum to 180 degrees.

x+118=180

x=62 degrees

Answer:

62°

Step-by-step explanation:

A supplementary angle is 180°.

180-118= 62

Layla, Eliana and Nature each carried 10 pound bag of soil into the backyard. After putting soil in the first flower bed, Layla's bag was ⅝ full, Eliana's bag was ⅖ full, and Nature's bag was ¾ full. How many pounds of soil did they put in the first flower bed altogether?

Answers

Answer: 17.75 pounds

Step-by-step explanation:

After putting soil in the first flower bed, Layla's bag was ⅝ full. The pound of soil will be: = 5/8 × 10 = 6.25 pounds

Eliana's bag was ⅖ full. The pound of soil will be: = 2/5 × 10 = 4 pounds

Nature's bag was ¾ full. The pound of soil will be: = 3/4 × 10 = 30/4 = 7.5 pounds

The number of pounds of soil that they put in the first flower bed altogether will be:

= 6.25 + 4 + 7.5

= 17.75 pounds

Two-dimensional and three-dimensional objects can be represented with
a scale drawing or __________

Answers

Answer:

three dimensional figure in which we have height breadth and length

and two dimensional figure in which two unit breadth and lenght

two dimensional has only two measurements, such as length and height and three-dimensional (3D) shape has three measurements, such as length, width, and height

What is Mensuration?

The branch of mathematics that studies the measurement of geometric figures and their parameters like length, volume, shape, surface area, lateral surface area, etc

A two-dimensional (2D) shape has only two measurements, such as length and height. A square, triangle, and circle are all examples of a 2D shape.

and three-dimensional (3D) shape has three measurements, such as length, width, and height

The example of two dimensional are triangle, circle.

The example of three dimensional are cuboid, cone , cylinder.

Hence two dimensional has only two measurements, such as length and height and three-dimensional (3D) shape has three measurements, such as length, width, and height

To learn more on mensuration click:

https://brainly.com/question/14312097

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6. John predicted that gas prices would raise 3.5% in the month of
January. If gas prices actually rose from $2.25 to $2.30, what was his
percent of error? Plzzz answer

Answers

Answer:

37.5%

Step-by-step explanation:

Given data

Initila Price= $2.25

3.5% of  $2.25

=3.5/100* 2.25

=0.035*2.25

=0.07875

Hence the expected new price is

=0.07875+2.25

=$2.33

The expected increase

=2.33-2.25

=$0.08

The actual increase

=2.25-2.30

=$0.05

Hence the error is

% error= Actual -Expected/Expected*100

% error= 0.05-0.08/0.08*100

% error= 0.03/0.08*100

% error=0.375*100

% error=37.5%

Hence the error is 37.5%

Khawla works mowing lawns and babysitting. She earns an hour for mowing and an hour for babysitting. How much will she earn for hours of mowing and hours of babysitting?

Answers

m = 37.5

b = 43.8

mowing = m

babysitting = b

in all 81.3

what's
[tex] \sqrt{ {25}^{2} - 15 {}^{2} } [/tex]

Answers

I’m pretty Sure that the answer would be 20 because 25 to the power of 2 would be 50 and 15 to the power of 2 is 30 and 50 - 30 =20

Answer:

20 Ans ..

Step-by-step explanation:

Given:

=25²-15²

Solution:

= √625-225

= 20 ans .....

Need help solving this !

Answers

Answer:

Step-by-step explanation:

To start of u have to subtract 150 with 180 which is 180 (cuz its a straight line and E to get angle S

Now that we know that 180-150= 30

We add S and R then subtract by 180

so 80+ 30= 110

then we said subtract 180

180-110= 70

Now we know that angle Q is 7-

Then the bottom is RS & SE (NOT REALLY SURE)

It is a Remote Interior Angle

IF RIGHT PLZ GIVE BRAINLIEST  

THANK U  

HAVE A GREAT DAY AND BE SAFE :)

XD

A shark is swimming 35 feet below sea level. If the angle of depression from a boat on the water to the shark is 16°, what is the horizontal distance between the boat and the shark? Round to the nearest tenth.

Answers

Answer:

https://lhssullivan.weebly.com/uploads/8/6/7/8/86783260/unit_7_-_trig_-_practice_test_ans_key.pdf

Step-by-step explanation:

answer key :)

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