A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds. The motorcycle then travels at a constant speed of 1.2u m/s for 15 seconds. Assuming that the acceleration is constant, express the total distance, D in metres, traveled by the motorcycle.

Answers

Answer 1

Answer:

Step-by-step explanation:

A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds

V = U + at

1.2u  = u  + a*10

=> a = 0.02u

S= ut + (1/2)at²

Distance in 1st 10 secs

S = u(10) + (1/2)(0.02)(10)²

=> S = 10u + u

=>  S = 11u  m

Constant speed 1.2u for 15 secs

S = 1.2u * 15

=> S = 18u m

Total Distance Covered d  = 11u + 18u = 29u  m


Related Questions

factorise m²-14m+49​

Answers

Answer:

(m-7[tex])^{2}[/tex]

Step-by-step explanation:

Simplify the expression below. (–7x + 4) – (2x – 8)

Answers

Answer:

- 9x + 12

Step-by-step explanation:

Given

(- 7x + 4) - (2x - 8) ← distribute parenthesis by 1 and - 1

= - 7x + 4 - 2x + 8 ← collect like terms

= - 9x + 12

123
12
a
d
3
and which term are like terms?

Answers

Answer:

3ad3 will be the answer

Step-by-step explanation:

Answer:

3ad3

Step-by-step explanation:

CORRECT AND CLEAR ANSWER WILL BE GIVEN BRAINLIEST An object of mass 0.30 kg is thrown vertically upwards and reaches a height of 8.0 m. Calculate: (a) it's final potential energy (b) The velocity with which it must be thrown, neglecting air resistance ( assuming g = 10m/s²)

Answers

Answer:

Final potential energy = 24 Joule

The velocity with which object must be thrown = [tex]4 \sqrt{10}[/tex] m/s

Step-by-step explanation:

Given:

Mass of object, m = 0.30 Kg

Height of object, h = 8 m

Acceleration due to gravity, g = 10 [tex]ms^{-2}[/tex]

a) Formula for Potential Energy:

[tex]E_p =mgh[/tex]

Where m is the mass of object

g is acceleration due to gravity and

h is the height of object

Putting the values of m, g and h

[tex]E_p = 0.3 \times 10 \times 8\\\Rightarrow E_p =24 J[/tex]

b) Formula for initial and final velocity:

[tex]v^{2} =u^{2} +2gh[/tex]

where v is the final velocity

u is the initial velocity with which the object is thrown

g is acceleration due to gravity and

h is the height obtained by object

here v = 0 at the height 8 m because it will come to rest at the point it attains the maximum height.

h = 8m

g = -10 [tex]ms^{-2}[/tex] (negative because the object's velocity is decreasing)

Putting the values to find 'u':

[tex]0^{2} =u^{2} +2 \times -10 \times 8\\\Rightarrow u^{2} = 160\\\Rightarrow u = 4 \sqrt{10}\ m/s[/tex]

Which ratios is equivalent to 12 over 2 ?

Answers

Answer: 12:2, 6:1, 24:4

Step-by-step explanation:

what is 15 minutes to 1 hour

Answers

Answer:

1:4 or 25% or 1/4

Step-by-step explanation

There are 60 minutes in an hour and 60 divided by 15 is four. So basically, 15 minutes is 1/4 of an hour, 25% of an hour, and 1:4 of an hour.

Solve for x. -7x= -8x+7

Answers

Answer:

x = 7

Step-by-step explanation:

-7x= -8x+7

Add 8x to each side

-7x+8x= -8x+8x+7

x = 7

Answer:

The value of [tex]x[/tex]:

[tex]x = 7[/tex]

Step-by-step explanation:

Solve for [tex]x[/tex]:

[tex]-7x = -8 x + 7[/tex]

Add both sides by [tex]8x[/tex]:

[tex]-7x + 8x = -8x + 8x + 7[/tex]

[tex]x = 7[/tex]

So, the final answer is [tex]x = 7[/tex] .

please answer asap for brainliest

Answers

Answer:

5/8

Step-by-step explanation:

count the squares between one point to the other

Answer:

slope= 7/4

Step-by-step explanation:

It is better to find a couple of line points on the plane whose coordinates are easy to read. two such points are: (-1,-3) and (3, 4) (see attached image).

Then use the slope formula with them:

[tex]slope=\frac{y_2-y_1}{x_2-x_1} =\frac{4-(-3)}{3-(-1)} =\frac{7}{4}[/tex]

What point is located 4 points from point M?

A. Point A


B. Point B


C. Point C


D. x-axis


E. y-axis

Answers

A. Point A. If you count (9,0) in the x axis you find Point A 4 points away from M

Simplify the expression 3x(2x2).
O A.
5x²
OB.
m
5
OC.
m
OD.
6x6

Answers

Answer:

6 x^3

Step-by-step explanation:

3x(2x^2).

3*2 = 6

x * x^2 = x^3

6 x^3

I know this is a SUPER easy question, i’m just dumb. Question in photo.

Answers

Answer:

Quadrant III (Answer C)

Step-by-step explanation:

(4, 7) is in Quadrant I.  Rotating it 180 degrees around the origin places it in Quadrant III (Answer C).

Answer:

Quadrant 3 (Answer C)

At summer camp, some people collected pine cones.
1
2
3
4
5
6
Pine cones found


What is the range of the numbers?

Answers

Answer:

5

Step-by-step explanation:

The range is the largest minus the smallest; 6-1= 5

Plss brainliest

First, subtract the minimum from the maximum to find the range

6 - 1 = 5

so your range is 5

Choco pies are cookies made from chocolate (c), sugar (s), and flour (. Chocolate costs $5 per pound, sugar costs

$3 per pound, and flour costs $2 per pound. You spend $50 on 18 pounds of food and buy twice as much flour as

sugar

Calvin wants to invest $12,000 in deposits. For tax purposes, he wants his total interest to be $600. He wants to put

$1000 more in a 2-year deposit than in a l-year deposit and invest the rest in a 3-year deposit. How much money

should he invest in each deposit?

Number of Years

Rate

2.0%

5.09

6.0%

1-year: $2200, 2-year: $3200, 3-year: $6600

1-year: $4000, 2-year: S5000, 3-year: $3000

1-year: S3200, 2-year: $4200, 3-year: $4600

1-year: $1000, 2-year: S2000, 3-year: $9000

Answers

Question :

justinapace7446

Yesterday

Mathematics

High School

+5 pts

Choco pies are cookies made from chocolate (c), sugar (s), and flour (. Chocolate costs $5 per pound, sugar costs

$3 per pound, and flour costs $2 per pound. You spend $50 on 18 pounds of food and buy twice as much flour as

sugar

Calvin wants to invest $12,000 in deposits. For tax purposes, he wants his total interest to be $600. He wants to put

$1000 more in a 2-year deposit than in a l-year deposit and invest the rest in a 3-year deposit. How much money

should he invest in each deposit?

Number of Years

Rate

2.0%

5.0%

6.0%

Answer:

1-year: $2200, 2-year: $3200, 3-year: $6600

Step-by-step explanation:

Assume y = Amount invested for 1 year.

y + 1000 = investment amount for 2 years

12000 - (y + y + 1000 ) = amount invested for 3 years

11000 - 2y = amount invested for 3 years

Total interest

Multiplying each by its corresponding rate

(0.02 × y) + (0.05 × (y+1000)) + (0.06 × (11000-2y)) = 600

0.02y + 0.05y + 50 + 660 - 0.12y = 600

-0.05y + 710 = 600

-0.05y = 600 - 710

-0.05y = - 110

y = 2200

Therefore first year = y = $2200

Investment for 2 years =y + 1000 = 2200 + 1000 = $3200

Investment for 3 years = 11000 - 2y = (11000 - (2*2200)) = (11000 - 4400) = $6600

Please help! Correct answer only!


In a raffle, one ticket out of 1,000 will win a $870 prize, one ticket will win a $820 prize, and one ticket will win a $740 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?

Answers

Answer:

" Expected Payoff " ⇒ $ 1.56 ; Type in 1.56

Step-by-step explanation:

Consider the steps below;

[tex]Tickets That Can Be Entered - 1 Ticket,\\Total Tickets Entered - 1000 Tickets,\\\\Proportion - 1 / 1000,\\Money One ( First Ticket ) = 820 Dollars,\\Money One ( Second Ticket ) = 740 Dollars,\\\\Proportionality ( First ) - 1 / 1000 = x / 820,\\Proportionality ( Second ) - 1 / 1000 = x / 740\\\\1 / 1000 = x / 820,\\1000 * x = 820,\\x = 820 / 1000,\\x = 0.82,\\\\1 / 1000 = x / 740,\\1000 * x = 740,\\x = 740 / 1000,\\x = 0.74\\\\Conclusion ; " Expected Payoff " = 0.82 + 0.74 = 1.56[/tex]

Solution; " Expected Payoff " ⇒ $ 1.56

I don't understand this math problem need help plz!

Answers

Answer:

A' (-4, - 7), B' (-5, -4), C' (-4, -3), D' (-3, -4)

Step-by-step explanation:

When rotating about the origin at an angle of 90° in the counterclockwise direction, the given values of (x, y) are interchanged with y also taking a negative sign. That is ;

(x, y) - - - -> (-y, x)

Therefore, in the question above ;

Translation = (x-2, y+3)

A =(-5, 1) = (-5 - 2, 1 + 3) = (-7, 4) - - -> A' = (-4, - 7)

B =(-2, 2) = (-2 - 2, 2 + 3) =(-4, 5) - - -> B' = (-5, -4)

C =(-1, 1) = (-1 - 2, 1 + 3) = (-3, 4) - - -> C' = (-4, -3)

D =(-2, 0) = (-2 - 2, 0+3) =(-4, 3) - - -> D' = (-3, -4)

Which statement correctly describes the slope of the linear function that is represented by the data in the table?
Х
8
8
8
8
8
у
-8
4
0
4
8
O The slope is positive.
O The slope is negative.
O The slope is zero.
O There is no slope.

Answers

there is no slope. boom

Answer:

there is no slope :)

Step-by-step explanation:

give the other person brainliest bc theyre swag

Which expressions have a positive product? *




–(5)(–0.2)(–1.9)(9)



–(2.14)(1.6)(14)



(6.3)(–8.7)(0.7)



(8.5)(–0.4)(–2.7)

Answers

Answer:

The fourth choice is the correct one.

Step-by-step explanation:

If the count of negative signs is even, the product is even (positive).

This does not apply to the first choice; this expression is odd.

Same for the second choice.

Same for the third choice.  The expression is odd.

The fourth choice is POSITIVE because there are an even number (2) of negative signs.

Prove that

(1 + cot A + tan A) (sin A - cos A) = sin A tan A - cot A cos A

Answers

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tan A = [tex]\frac{sinA}{cosA}[/tex] , cot A = [tex]\frac{cosA}{sinA}[/tex]

Consider the left side

(1 + cotA + tanA)(sinA - cosA)

each term in the second factor is multiplied by each term in the first factor.

1(sinA - cosA) + cotA(sinA - cosA) + tanA(sinA - cosA)

= sinA - cosA + cosA - [tex]\frac{cos^2A}{sinA}[/tex] + [tex]\frac{sin^2A}{cosA}[/tex] - sinA ( collect like terms )

= [tex]\frac{sin^2A}{cosA}[/tex] - [tex]\frac{cos^2A}{sinA}[/tex]

= ( sinA × [tex]\frac{sinA}{cosA}[/tex] ) - ([tex]\frac{cosA}{sinA}[/tex] × cosA )

= sinAtanA - cotAcosA

= right side ⇒ proven

how do you multiply decimals like whats 6.8 times 1.6.

Answers

Answer:

10.88

Step-by-step explanation:

u do it like long multiplication just with decimals

6.8 times 1.6 = 10.88

Answer: 10.88

Step-by-step explanation:

6.8 x 1.6 = 10.88

you can multiply them without the decimals first then when you got the answer, you can count how many decimal places are there and place a decimal place where shoud be

why is 8.8 a rational number

Answers

Answer:

See below

Step-by-step explanation:

8 is classified as a rational number because it can be made into a fraction. 8.8 = 8 8/10 = 88/10

the volume of a cube whose edge is 6cm long is ​

Answers

Answer:

216 cm^3

Step-by-step explanation:

Volume of a cube=s^3

6 cm^3=216 cm^3

If X || Y and Y || Z, then ____

Answers

Answer:

If X || Y and Y || Z, then X_|| Z___

Step-by-step explanation:

This is transitive property

Traci is collecting donations for a dance marathon. One group of sponsors will donate $36 for each hour she dances. Another group of sponsors plans to donate $75 no matter how long she dances. Traci plans to dance until she has raised at least $1,200. Let h represent the number of hours that Traci dances. Write and solve an inequality to determine the minimum number of hours that Traci needs to dance in order to raise $1,200.

Answers

Answer:

36h + 75 < 1200

solve:

36h + 75 = 1200

36h = 1125

h = 1125 divided by 36 = 31.25.

Therefore, Traci has to dance a minimum of 31.25 hours to raise $1200

Solve for x.
8(x + 1) - 31x + 4) = 7(2 - x)

Answers

Answer: -8.5625

Step-by-step explanation:

Use the distributive property....   ex: 8(x+1)= 8x+1 (by multiplying both by 8)

8x+1-31x-124=14-7x

Combine like variables

-23x-123=14-7x

Bring like variables to the same side of the equation by changing the sign(+,-)

-16x=137

Divide -16 by both sides

x=-8.5625

Here are two similar rectangles. Work out the area of the larger rectangle

Answers

Answer:

take the picture please or give the measurements of the rectangles

Answer:

see attachment for measurements

Step-by-step explanation:

Why is it important to consider multiplicity when determining the roots of a polynomial equation? Write your response, citing mathematical reasons and providing examples that you create In order to receive full credit for this prompt, please answer the following questions: What it multiplicity? What does it tell us? Why must we take multiplicity into account when talking about the number of roots a polynomial has? What does multiplicity tell us about how the graph behaves at the roots?

Answers

Answer:

Step-by-step explanation:

The multiplicity of a root of a polynomial equation is the number of times it appears in the solution.

Multiplicity is important because it can tell us two things about the polynomial that we work on and how it is graphed. first: it tells us the number repeating factor a polynomial has to determine the number of the real (positive or negative) roots and complex roots of the polynomial.

About graph behaves at the roots : Behavior of a polynomial function near a multiple root

The root −4 is a 'simple' root (of multiplicity 1), and therefore the graph crosses the x-axis at this root. The root 1 is of even multiplicity and therefore the graph bounces off the x-axis at this root.

Sean is travelling. He has a flight of 4 hours 20 minutes, a stopover of 35 minutes and then another flight of 3.75 hours. What is his total travel time? Give your answer in hours and minutes.

Answers

3:45 hour flight on the last travel?

Answer:

Th=8[tex]\frac{2}{3}[/tex]h Tmin=520min

Step-by-step explanation:

4h 20min = 13/3h = 260min

35min = 7/12h

3.75h = 15/4h = 225min

Total in min: 225+260+35=520min

Total in h: 520/60=52/6=8[tex]\frac{4}{6}[/tex]=8[tex]\frac{2}{3}[/tex]h

Ann increased the quantities of all the ingredients in a recipe by 60%, percent. She used 80 grams , of cheese. How much cheese did the recipe require?

Answers

Answer:

The recipe originally required 50 grams of cheese.

Step-by-step explanation:

1.6x=80

x=50

In December, Sara's Sodas produced 4.0 million liters of the beverage. Manufacturing overhead was $1,435,000 and the cost per liter was $0.47. Labor costs were 25 percent of materials cost. Required: a. Calculate the materials cost for December.

Answers

Answer:

The material cost for December = $356,000

Step-by-step explanation:

The manufacturing overhead is the sum of the indirect costs that come from the manufacturing process except labor and materials

Hence, whereby the cost per liter = $0.47, we have;

Total volume produced = 4.0 million liters

Manufacturing overhead = $1,435,000

Total cost = Cost per liter × Total volume produced

∴ Total cost = 4 × 10⁶ × $0.47 = $1,880,000

Hence the cost of labor + materials = Total cost - Manufacturing overhead

the cost of labor + materials = $1,880,000 - $1,435,000 = $445,000

Labor cost = 25% material cost = 0.25 × material cost

∴ 0.25 × material cost + material cost = $445,000

1.25 × material cost = $445,000

material cost = $445,000/1.25 = $356,000

Which gives labor cost = 0.25 × $356,000 = $89,000

The material cost for December = $356,000.

John shifted the decimal point of a number twice to the left to obtain a new number. The difference between the new number and the original number was 136.62. What is the sum of the 2 numbers?

Answers

Step-by-step explanation:

From a, the original number is 100x the new number.

So,if the new number is 1unit --> the original is 100x 1unit --> 100units

Add the two numbers together --> 1unit + 100units --> 101 units

We also know that the difference between the two numbers is 136.62

So 100units - 1unit --> 136.62

99units -> 136.62

1unit --> 1.38

101units --> 139.38

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