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

Probability: Please help me answer the question attached.

Answers

Answer:

most probably A part 1 by 12 . and i think it's also . d part 1 by 3

Can someone help me with this question?
It's geometry.
Will mark you as brainliest if answer is correct.

Answers

Answer:

angle ABE and DBC

Step-by-step explanation:

They are both greater than 90 degrees

<ABE & <DBC

obtuse angle: more than 90 degrees and less than 180 degrees

Help me please I need help!!!!

Answers

Answer:

Answer B (proportional)

Step-by-step explanation:

The variable y and x are related by the constant of proportionality "6" in the expression

y = 6 x

Such means that if x adopts whatever value, y is always proportional to that x-value, by the multiplicative factor 6.

y is proportional to x via the proportionality constant (it has to be always a multiplicative constant) "6"

Complete the missing parts of the table for the following function.
y=(1/6)^x

Answers

36,6,36

and btw what episode u on on naruto yah weeb

100 Points competitions and whoever finishes this gets 100 points. (ON THE TOP OF QUESTION 12 IS ANSWERS QUESTION ANSWERS TO QUESTION 11 TOO!)

Answers

Answer:

1)25%

2)likely

3)1/4

4)46

5)10%

6)I am so sorry I have no clue

7)1/4 or 1/12

8)1/8 or 1/12

9)80%

10)80%

1/15

Step-by-step explanation:

I hope this helps.

Answer:

1)25%

2)likely

3)1/4

4)46

5)10%

6) second choice

7)1/4 or 1/12

8)1/8 or 1/12

9)80%

10)80%

1/15

Step-by-step explanation:

Segment AB has length "a" and is divided by points P and Q into AP, PQ, and QB, such that AP = 2PQ = 2QB.
a) Find the distance between point A and the midpoint of segment QB
b) Find the distance between the midpoints of segments AP and QB

Answers

Answer:

a) 7a/8; b) 5a/8  

Step-by-step explanation:

Given:

AP = 2PQ = 2QB

Calculations:

1. A to the midpoint of QB

        a = AP + PQ + QB

If 2PQ = 2QB.

    PQ = QB and

    AP = 2PQ

∴      a = 2PQ + 2PQ = 4PQ

    PQ = a/4

    AP = 2PQ = a/2

Let M be the midpoint of QB.

AM = AP + PQ + QM

     = a/2 + a/4 + a/8

     = 7a/8

2. Midpoints of AP and QB

Let N be the midpoint of AP

NM = NP + PQ + QM

      = a/4 +a/4 + a/8 =

      = 5a/8

 

I need more assistance :D Instructions: Using the image, find the distance between the points given on the graph.

Answers

Answer:

I usually explain even in the answer.

So we use som[tex]\sqrt{x}[/tex]ething called distance formula which is branched of Pythagorean theorem.

But we dont need to as it just makes it more complicated. We need to find split into 2 vectors, one vertical, and horizontal. The horizontal is 5 long.

The vertical is 1, you can find them by calculating how long is it and how tall.

Use pythogorean theorem from the formula and do 5^2+1^2 = c^2

25+1 = 26, so the answer is √26

I am pretty sure answer is right. Always take abolute value

√26

3 x 4 x 5 x m x n = ???????

what does it equal???

Answers

3 x 4 x 5 x m x n = 60mn

The equivalent expression for the given expression is 60mn.

The given expression is 3×4×5×m×n.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Here, 3×4×5×m×n = 60mn

Therefore, the equivalent expression for the given expression is 60mn.

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What happens when you see 42 (17 – 15) / (3 + 1) – 5 ? What do you do first? The mnemonic PEMDAS or Please Excuse My Dear Aunt Sally can help you remember the order of operations: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction. If your expression doesn't have every type of operation, the order of operations is still the same. If it is missing one, just skip it and move on to the next operation. Which operation is done first to evaluate this expression: 5 + 7 x 2 - 9

Answers

Answer:

The operations done first are:

a)  42 (17 – 15) / (3 + 1) – 5 ; (17 -15) or (3 + 1) (parenthesis) are done first

b)  42 (17 – 15) / (3 + 1) – 5 ; 7 × 2 (multiplication) is done first

Step-by-step explanation:

from the mnemonic PEDMAS, the order of operations are: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

hence in the first expression : 42 (17 – 15) / (3 + 1) – 5, the parenthesis (bracket is simplified first as follows:

(17 - 15) = (2) ;  and (3 + 1) = (4) ;  hence the expression will be simplified as follows: 42 (2) / (4) - 5.

Next, since there is no exponent in the expression, Multiplication follows:

42 (2) = 42 × 2 = 84 ; hence he expression becomes: 84 / 4 - 5

Next division follows : 84/4 = 21, therefore the expression becomes

21 - 5.

Finally, subtraction follows : 21 - 5 = 16

b)  5 + 7 x 2 - 9;

first, multiplication is done: 7 × 2 = 14, hence the expression becomes :

5 + 14 - 9.

Next in the order is addition : 5 + 14 = 19, hence, the expression becomes:

19 - 9.

Finally, subtraction follows: 19 - 9 = 10

Answer:

multiply

Step-by-step explanation:

Solve 2 - x= -7.
O A. x=-9
O B. x= 5
O C. x= -5
O D. x= 9

Answers

Answer:

x = 9

Step-by-step explanation:

2 - x= -7

Subtract 2 from each side

2- 2 - x= -7-2

-x = -9

Multiply by -1 on each side

x = 9

Jade buys a blouse and a skirt for 3/4 of their original price. Jade pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt?

Answers

Answer:

The skirt was originally 24 dollars

Step-by-step explanation:

3/4 ( b+s) = 31.50  

where b is the original price of the blouse and s is the original price of the skirt

b = 18

3/4 ( 18+s) = 31.50  

Multiply each side by 4/3

4/3 * 3/4 ( 18+s) = 31.50  *4/3

18+s =42

Subtract 18 from each side

18+s-18 = 42-18

s =24

The skirt was originally 24 dollars

The diagram shows a regular pentagon with centre O.

Answers

Answer:

56

Step-by-step explanation:

The size of angle x is 54°.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

All the diagonals of a pentagon are equal so, their opposite angles of equal diagonals are also equal.

The angle  'O' is a complete angle

∴ ∠O = 360°

Angle between diagonals =360/5= 72°

The sum of all interior angles of triangle is 180°

x+x+ 72°=180°

2x=180-72

2x=108°

x=54°

Hence, the size of angle x is 54°.

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How do I find the arc of a circle?\

Answers

Answer:

google

Step-by-step explanation:

Step-by-steP

LA FÓRMULA ES:

arc = πrΘ/180

A pilot is flying from Thunder Bay, Ontario to Dryden, Ontario a distance of approximately 320 km. As the plane leaves Thunder Bay, it flys 20° off course for exactly 80 km. After flying off-course how far is the plane from Dryden?

Answers

Answer: The plane is 246.4 kilometres from Dryden (approximately)

Step-by-step explanation: Please refer to the picture attached for further details.

The pilot was meant to fly from Thunder Bay which is marked as point T to Dryden which is marked as point D. The distance is given as approximately 320 kilometres as shown.

However upon departure, the pilot goes off course at an angle of 20 degrees and flies for 80 kilometres. When he has traveled for exactly 80 kilometres, he would find himself at point P as shown in the diagram. The plane which is now at point P, is t kilometres from Dryden (point D). To calculate the distance t, we shall apply the cosine formula, having been given two sides and an angle between.

The cosine rule states as follows;

c² = a² + b² - 2abCosC

Substituting for the given variables in this question, the formula can be expressed as follows;

t² = d² + p² - 2dpCosT

Substituting for the known values, we now have,

t² = 80² + 320² - 2(80*320)Cos20

t² = 6400 + 102400 - 2(25600)0.9396

t² = 108800 - (51200) * 0.9396

t² = 108800 - 48107.52

t² = 60692.48

Add the square root sign to both sides of the equation

√t² = √60692.48

t = 246.3584

t ≈ 246.4

Therefore, the plane is approximately 246.4 kilometres from Dryden.

Solve the equation: −4(+6)=−8

Answers

Answer: m=-4

Step-by-step explanation:

The problem we are given is -4(m+6)=-8. We want to solve for m. To do so, we first need to distribute the -4 to m and 6.

-4m-24=-8

Now that we have distributed, we can go ahead and solve for m.

-4m=16

m=-4

Answer: m= -4

step-by-step explanation:

The problem we are given is -4(m+6)=-8. We want to solve for m. To do so, we first need to distribute the -4 to m and 6.

-4m-24=-8

Now that we have distributed, we can go ahead and solve for m.

-4m=16

m=-4

What is an equation example?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

What is an equation easy definition?

1: a statement of the equality of two mathematical expressions. 2: an expression representing a chemical reaction by means of chemical symbols.

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Please answer !!!!!!!! Will mark brainliest correct answer !!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

I had that same answer. I did it with my teacher and he said it was b

Find the unknown measures. Round lengths to the nearest tenth and angle measures to the nearest degree.
AC =


BC=


∡C=
degrees

Answers

Answer:

AC= 6.3 units (nearest tenth)

BC= 2.8 units (nearest tenth)

∠C= 64°

Step-by-step explanation:

Please see attached picture for full solution.

Triangle ABC has vertices at A(-4, -2), B(1, 7) and C(8, -2)

A) Determine the exact value of the area of Triangle ABC.

B) Determine the perimeter of Triangle ABC to the nearest tenth.

Answers

Answer:

a). Area = 54 square units

b). Perimeter = 33.7 units

Step-by-step explanation:

Vertices of the triangle ABC are A(-4, -2), B(1, 7) and C(8, -2).

(a). Area of the triangle ABC = [tex]\frac{1}{2}[x_{1}(y_{2}-y_{3})+x_{2}(y_{3}-y_{1})+x_{3}(y_{1}-y_{2})][/tex] (Absolute value)

By substituting the values from the given vertices,

Area = [tex]\frac{1}{2}[(-4)(7+2)+(1)(-2+2)+8(-2-7)][/tex]

        = [tex]\frac{1}{2}[-36+0-72][/tex]

        = [tex]\frac{1}{2}(-108)[/tex]

        = (-54) unit²

Therefore, absolute value of the area = 54 square units

(b). Distance between two vertices (a, b) and (c, d)

        d = [tex]\sqrt{(a-c)^{2}+(b-d)^2}[/tex]

     AB = [tex]\sqrt{(-4-1)^{2}+(-2-7)^{2}}[/tex]

           = [tex]\sqrt{106}[/tex]

           = 10.295 units

     BC = [tex]\sqrt{(1-8)^2+(7+2)^2}[/tex]

           = [tex]\sqrt{130}[/tex]

           = 11.402 units

     AC = [tex]\sqrt{(-4-8)^2+(-2+2)^2}[/tex]

           = 12 units

     Perimeter of the triangle = AB + BC + AC = 10.295 + 11.402 + 12

                                                                          = 33.697

                                                                          ≈ 33.7 units

factorize Factor 25x² - 16y²

Answers

Answer:

Since both terms are perfect squares, factor using the difference of squares a^2-b^2=(a+b)(a-b) where a=5x and b=4y

(5x+4y)(5x-4y)

Un padre para estimular a su hijo para estudiar matemáticas le dice: por cada ejercicio que resuelvas bien te daré 7 € y por cada uno que hagas mal me darás 1 €. Después de hacer 45 ejercicios, el muchacho se encuentra con 19 €. ¿Cuántos ejercicios ha resuelto bien?

Answers

Answer:

8 ejercicios

Step-by-step explanation:

De acuerdo a la información dada, puedes plantear las siguientes ecuaciones:

x+y= 45 (1)

7x-1y= 19 (2)

x= ejercicios que resolvió bien

y= ejercicios que resolvió mal

Primero, puedes despejar x en (1):

x= 45-y (3)

Segundo, debes reemplazar (3) en (2):

7(45-y)-1y=19

315-7y-1y= 19

315-8y= 19

315-19= 8y

296= 8y

y= 296/8

y= 37

Tercero, debes reemplazar el valor de y en (3) para encontrar x:

x= 45-37

x= 8

De acuerdo a esto, la respuesta es que el hijo ha resuelto bien 8 ejercicios.

Use the vertical line test to determine which graph does not represent a function. On a coordinate plane labeled Graph A, a parabola opens up. On a coordinate plane labeled Graph B, a parabola opens to the right. On a coordinate plane labeled Graph C, a graph decreases, then increases, and then decreases again.

Answers

Answer:

b

Step-by-step explanation:

5. The distance from the shovel to the treasure chest is
60 yards and the distance from the treasure chest to the
boat is 50 yards. How far is the boat from the shovel?​

Answers

Answer: 110 yards

Step-by-step explanation:

From the question, the distance from the shovel to the treasure chest is

60 yards while the distance from the treasure chest to the boat is 50 yards. We are to calculate the distance from the boat from the shovel.

The distance from the boat from the shovel will be the addition of the distance from the shovel to the treasure chest which is 60 yards with the distance from the treasure chest to the boat is 50 yards.

= 60 yards + 50 yards

= 110 yards

what is the solution of equations graphed below?
A. (2,4)
B. (4,2)
C. (0,6)
D. (6,0)​

Answers

Answer:

(4,2)

Step-by-step explanation:

The solution to the system is where the two graphs overlap

The two graphs cross at x=4 y =2

(4,2)

Answer & Step-by-step explanation:

To find the solution of equations graphed on a line, the solution is going to be the point where the two lines meet or cross.

So, in the diagram, we can see that the equations do cross at a certain point. This point is (4,2).

So, the solution of the equations graphed is (4,2)

At the corner store near Billy’s
house, loose mixed nuts cost
$1.75 per 100 g. Write an
equation to represent the amount
of mixed nuts, n, he can buy if he
has d dollars. Then, use your
equation to determine how many
grams of mixed nuts Billy can buy
if he has $5.

Answers

Answer:

d = 0.0175n    ---> required equation

Billy can buy 285.714 gram nut with $5

Step-by-step explanation:

cost of 100g loose nut = $1.75

dividing LHS and RHS by 100

cost of 100/100g loose nut = $1.75

Thus, cost of 1 gm loose nut = $0.0175

let the weight of loose nut be n gm

Multiplying LHS and RHS by n

cost of x g loose nut = $0.0175*n =  $0.0175n

It is given that Billy spent d dollars to buy n gm nuts

thus,

d = 0.0175n    ---> required equation

________________________________________________

He spent $5 to buy nuts

substituting value of d as 5 we have

0.0175n = 5

=>n = 5/0.0175 = 285.714

Thus, Billy can buy 285.714 gram nut with $5.

Which division problem would have an estimated quotient of 3.5 if the divisor and dividend were rounded to the nearest whole number?

Answers

Answer:

Step-by-step explanation:

Weren't there possible answer choices from which to choose?  If so, please share them.

7                             3 + 4

-- is equivalent to ---------- and has an estimated (and exact) quotient of 3.5.

2                                2

If the divisor (2) and the dividend (7) were rounded to the nearest whole number (which would be 7), the estimated quotient would still be 3.5.

Answer:

7                             3 + 4

-- is equivalent to ---------- and has an estimated (and exact) quotient of 3.5.

2                                2

Step-by-step explanation:

PLEASE HELP ASAP the question is in the picture

Answers

can you please rotate the picture

Divide 140 in the ratio 1:2:7

Answers

Answer:14:28:98

Step-by-step explanation:

To divide a value by a ratio, we first find the total number of parts:

1+2+7 = 10

Then, we divide the value by the number of parts and multiply it by the number of parts in each section of the ratio:

140 divided by 10 = 14.

Part 1: 14 x 1 = 14

Part 2: 14 x 2 = 28

Part 3: 14 x 7 = 98

Grace orders groceries worth $49.65. About how much should she spend for 12% home delivery charges?

Answers

Answer:

$5.96

Step-by-step explanation:

To find 12% of 49.65 you multiply 49.65*0.12 (decimal equivalent of 12%) = 5.958. Since it's money, you need to round to the nearest cent.

Suppose f(x)=x^2 Find the graph of f(x-2) *Will make Brainliest If answered asap*

Answers

Answer:

the root is 2 . thus, the correct graph is graph 2

Picture attachment is below

Answers

Answer:

0.04

Step-by-step explanation:

Answer:0.04

Step-by-step explanation:4/100

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A box is filled with9 yellow cards,2 red cards, and 9 blue cards. A card is chosen at random from the box. What is the probability that the card is not red? Write your answer as a fraction in simplest form. Read and choose the option with the correct verb for the blank and with the correct price that matches the word or words in bold type. Your friends are shopping for furniture today. This is what they are told at the store: La cama ________ mil trescientos noventa dlares. cuestan; 1.390 cuestan; 1.280 cuesta; 1.390 cuesta; 1.280 Which treatment is best for a person with persistent diarrhea PLEASE HELP WILL MARK BRAINLIESTDraw the reflection of the figure over the line shown. A solution of Co(NO) is electrolyzed using a 15.0A current for 1.00 hour and Co(s) is produced at the cathode. Calculate the moles of electrons that was used to electrolyze the solution? Calculate the moles and mass of Co(s) produced at the cathode? A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions. A solution is made by mixing 114.g of benzene C6H6 and 83.g of acetyl bromide CH3COBr. Calculate the mole fraction of benzene in this solution. Round your answer to 3 significant digits. Lily likes to collect records last year she had15 records in her collection this year shehas 24 records what is the increase of hercollection PLEASE ANSWERIn a dysfunctional family children are socialised and taught the acceptable norms and values of society???? True or False???? What is the volume of a cone with a height of 27 cmand a radius of 13 cm? Round your answer to thenearest tenth.V= Jose makes custom bicycles. He sells each bicycle for $400.A)How much revenue does he make if he sells 1 bicycle?B)How much revenue does he make if he sells 2 bicycles?C)How much revenue does he make if he sells X bicycles?D)What is her revenue equation? Why do authors reinterpret familiar stories The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation A. 10; your car travels for 10 hours. B. 260 your car travels 260 miles. C.1/65; your car travels 65 miles every 1 hour. D.65/1 Your car travels 65 every 1 hour Which describes a similarity between Puerto Rico and Guam after the Spanish-American War?They both achieved independence from the United States.They both became territories of the United States.They both remained territories of Spain.They both achieved independence from Spain. whats ur fav anime show and name the character u like from that show mine is toyko ghoul and the character is ken kaneki The following question is based on your reading of A Midsummer Nights Dream by William Shakespeare.Why are the Royals in the woods?a.They are hunting.c.They are drunk.b.They are celebrating the wedding.d.They are lost.Please select the best answer from the choices providedABCD How can I Simplify -(x+5)+3x Briefly describe and identify theStages of interphase and mitosis WHAT IS A VOLUME OF THE BOX WITH A HEIGHT OF 3\2 WIDTH OF 5\2 AND LENGHT OF 7\2 Consider the following dice game, as played at a certain gambling casino: players 1 and 2 roll a pair of dice in turn. the bank then rolls the dice to determine the outcome according to the following rule: player i,i=1,2, wins if his roll is strictlyIi={1 if i wins, 0 otherwise}and show that I1 and I2 are positively correlated. Explain why this result was to be expected.