When leaving a town, a car accelerates from 30 kmh-1 to 60 kmh-1 in 5 s. Assuming the
acceleration is constant, find the distance travelled in this time.
A. 6 m
B. 62.5 m
C. 41.7 m
D. 20.8 m

Answers

Answer 1

Answer:

B .62.5 m

Step-by-step explanation:

convert Kmh-1 in to ms-1

30 Kmh-1 = (30×1000) ÷3600 = 8.3ms-1

60 Kmh-1 = (60×1000) ÷3600 = 16.6 ms-1

acceleration = (16.6 - 8.3) ÷ 5 = 1.66 ms-2

V^2 = U^2 +2aS

(16.6)^2 = (8.3)^2 + 2×1.66 ×S

S = 62.5 m


Related Questions

Helpppp and explain pls and ty

Answers

Step-by-step explanation:

2 gallons are needed for 10 galloms of lemonade

HELP ME PLS ITS PYTHAGOREAN THEOREM

Answers

Answer:

a= [tex]\sqrt{19}[/tex]

Step-by-step explanation:

Pythagorean Theorem: a^2+b^2=c^2

a^2+9^2=10^2

a^2+81=100

a^2=19

a=[tex]\sqrt{19}[/tex]

Answer:

b = 4.4 meters

A spherical ball has a radius of 4 inches. What is the volume of this sphere, to the
nearest cubic inch.

Answers

Answer:

V = 267.9 in^3

Step-by-step explanation:

V = 4/3 * (pi) * r^3

V = 4/3 * 3.14 * 4^3

V = 4/3 * 3.14 * 64

V = 256/3 * 3.14

V = 803.84/3

I need help please!!!!

Answers

a. 122.5 g

M(t) = 300(1/2)^(31/24) = 122.5

The dot plot below represents this set of data:
30, 29, 30, 28, 28, 27, 22, 28, 28, 22, 27, 26, 25, 27

Answers

Answer:

True

Step-by-step explanation:

All of them match up

if the probability of winning the netball game is 0.7, what is the probability of not winning the game?

Answers

Explanation:
Just like any simple addition 93 + 7 Is 100 right? so Imagine 99.3 + 0.7 = 100%

Answer:
99.3

Given:
f(x) = -4x + 2
g(x) = 2x^2 + 4x - 5

Find:(f + g)(x)

Answers

Answer:

2x^2-3

Step-by-step explanation:

f(x) = -4x + 2

g(x) = 2x^2 + 4x - 5

(f+g)(x) = -4x + 2+ 2x^2 + 4x - 5

Combine like terms

       = 2x^2-4x+4x+2-5

      =2x^2-3

Answer:

2x ^ 2 - 3

Step-by-step explanation:

f(x) = -4x + 2

g(x) = 2x ^ 2 + 4x - 5

(f + g)(x) = -4x + 2 + 2x ^ 2 + 4x - 5

= 2x ^ 2 - 4x + 4x + 2 - 5

= 2x ^ 2 - 3

Solve for . Round to the nearest tenth of a degree, if necessary.
3.9
2.2
Answer: 2 =
Submit Answer
attempt 1 out of 2
PLSSS HELp

Answers

Answer:

x = 60.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan x = 3.9/ 2.2

Taking the inverse tan of each side

tan ^-1 (tan x )=  tan ^-1(3.9/ 2.2)

x=60.57254

To the nearest tenth

x = 60.6

Need help asap, thanks :)

Answers

Answer:

937

425

Step-by-step explanation:

9 is the square of 3

7 is 1 more than 6, the double of 3

4 is the square of 2

5 is 1 more than 4, 2x 2

Is there more?

Answer:

425

Step-by-step explanation:

1st = 2^2

3rd = 2*2 + 1

<3 and <6 can be classified as:
a. alternate exterior angles
b. same side interior angles
c. corresponding angles
d. alternate interior angles

Answers

Answer: d. alternate interior angles

Note how the two angles are inside, or interior, of the lines L1 and L2. For me, I tend to think of such lines like train tracks. So that takes care of the "interior" portion.

As for the "alternate" portion, we can see that the angles are on either side of the transversal line T.

So that's why angles 3 and 6 are alternate interior angles.

If L1 and L2 are parallel, then angle 3 = angle 6.

3. In a primary election, 35% of voters voted for Goron, 15% voted for Smith, 40% voted for Fishman, and 10% voted for other candidates. (a) It was estimated that 280 people were going to vote. If this was true, how many people would have voted for Goron? Show your work. (b) Forty people voted for "Other." Was the estimate of total voters from Part (a) accurate? Explain.

Answers

Answer:

98 ppl voted for Gordan

Step-by-step explanation:

a) 35% of 280=98

b)  15% of 280=42

   40% of 280=112

    10% of 280=28

Add 98, 42, 112, and 28 and you get 280! Hope this helps :)

The bill before tax at a restaurant is $32, and the sales tax is 10%. You decide to leave a 15% tip based on the pre-tax amount. What will be the amount of the total bill, including tax and tip?

Answers

Bill before tax = $32

Tax = 10/100×32

= $3.2

Tip = 15/100×32

= $4.8

Total cost = 32 + 3.2 + 4.8

= $40

Answered by Gauthmath must click thanks and mark brainliest

URGENT+Brainliest. Convert r=2sin(2theta) into rectangular cords.

Answers

Answer:

try 14n

Step-by-step explanation:

Answer:

[tex]r \: = 2sin2 \theta \\ = > r = 2.2sin\theta.cos\theta \\ = > r = 4sin\theta.cos\theta \: \\ \\ \sf \: we \: know \: that \: \\ x = r \: cos\theta \: \therefore \: cos\theta = \frac{x}{r} \\ \\ y = r \: sin\theta \: \therefore \: sin\theta = \frac{y}{r} \\ \\ \sf \: now \\ \\ r = 4 \times \frac{y}{r} \times \frac{x}{r} \\ = > {r}^{3 } = 4xy \\ \\ \sf \: again \: \: r = \sqrt{ {x}^{2} + {y}^{2} } \\ \\ = > {( \sqrt{ {x}^{2} + {y}^{2} } })^{3} = 4xy \\ = > {( {x}^{2} + {y}^{2} })^{ \frac{3}{2} } = 4xy \\ = > {( {x}^{2} + {y}^{2} })^{3} = 16 {x}^{2} {y}^{2} [/tex]

Please mark me as Brainliest

A fruit seller bought 160 kg of apples at Rs. 32 per kg. He sold one fourth of them at Rs. 40 per kg and sold the rest at Rs. 31 per kg. Find his profit or loss.​

Answers

Answer:

A fruit seller bought 160 kg of apples at Rs. 32 per kg. He sold one fourth of them at Rs. 40 per kg and sold the rest at Rs. 31 per kg. Find his profit or loss.

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Which of the following is a point-slope equation of a line that passes through
the points (-1,4) and (8, -2)?
O A. y-1--3(x-1)
O B. y 4 = {(x+1)
O C. y-4--(x+1)
O D. y-4--2(x+1)

Answers

Answer:

y - 4 = -2/3 (x + 1)

Step-by-step explanation:

y2 - y1 / x2 - x1         -2 - 4 / 8 - (-1)      -6/9     = -2/3

y - 4 = -2/3 (x + 1)

Bond and DePaulo (2006) analyzed the results from 384 studies that tested the lie-detecting ability of more than 24,000 people and found that: Group of answer choices about 50% of people are especially clairvoyant and able to discern truths from lies. the accuracy rate of most people is barely above the 50% guessing level. most people can rather accurately guess whether they are told the truth or a lie. training people can substantially increase their lie-detecting ability.

Answers

Answer:

B: the accuracy rate of most people is barely above the 50% guessing level

Step-by-step explanation:

Bond and DePaul carried out a research and analysis on the accuracy of deception judgments in 2016.

This research involved synthesizing of results gotten from 206 research documents as well as a total of 24483 judges.

In this research and analysis, there were a couple of discoveries when people tried to discriminate lies from the truth and these discoveries include; average percentage of correct lie-truth judgments, percentage of those who correctly classified lies as deception and also percentage of those who classified truths as non-deceptive e.t.c. In conclusion, part of their discoveries was that the accuracy rate of most people is barely above the 50% guessing level.

This corresponds to option B.

find the value of the trigonometric ratio​

Answers

The answer is 12/5 or 2.4

tan c =opposite÷ adjacent

tan c =36÷15

tan c = 12÷5

A fair spinner has 12 equal sections: 5 red 4 blue and 3 green. its Spun twice what is the probability of getting the same colour twice?​

Answers

Answer:

25/72

Step-by-step explanation:

P( blue) = blue / total = 4/12 = 1/3

P ( blue, blue) = 1/3 * 1/3 = 1/9

P ( red) = red / total = 5/12

P ( red, red) = 5/12 * 5/12 = 25/144

P ( green) = green /total = 3/12 =1/4

P ( green , green) = 1/4 * 1/4 = 1/16

Add these together to get

P( same colour twice) = 1/9+ 25/144 + 1/16

                                      =16/144 + 25/144 + 9/144

                                      =50/144

                                     =25/72

Each side of a pentagon is 10 cm greater than the previous side. If the perimeter of this pentagon is 500 cm, find the lengths of the sides.

Answers

Answer:

(I'll leave cm out to save space and time in the answer)

the perimeter is 500, there are 5 sides. so on average a side will be 100.

that's already the important key idea.

it's indeed 100 for the third side, the second will be 10 less, the fourth 10 more (making the 2and and the 4th side 200 in sum, and therefore still 100 on average).

repeat this for the 1. and 5. side and we get:

80

90

100

110

120

What is the equation of a parabola that has a vertical axis, passes through the point (–1, 3), and has its vertex at (3, 2)?

= –216+616–4116


= –216+616–4116


=216–616+4116


=216–616+4116

Answers

Answer: y= x^2/16-6x/16+41/16

Step-by-step explanation:

The equation of a parabola will be; y = x^2/16 - 6x/16 + 41/16

What is vertex form of a quadratic equation?

If a quadratic equation is written in the form

y=a(x-h)^2 + k

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

Otherwise, we had to use calculus to get critical points, then second derivative of functions to find the character of critical points as minima or maxima or saddle etc to get the location of vertex point.

This point (h,k) is called the vertex of the parabola that quadratic equation represents.

WE need to find the equation of a parabola that has a vertical axis, passes through the point (–1, 3), and has its vertex at (3, 2)

Thus, the equation of a parabola will be;

y = x^2/16 - 6x/16 + 41/16

Learn more about vertex form of a quadratic equation here:

https://brainly.com/question/9912128

#SPJ2

In Natalie's class, 18 children listed math as their favorite subject while 15 said English was their favorite
subject. Eleven children liked both subjects equally well and 3 children didn't like either math or English. How
many children are in the class?

Answers

25 is your answer if i am sure, the question was confusing tho.

Hope made 3 different yo-yo's. She used 1 3/4 meters of string for the first yo-yo, 1 meter of string

Answers

Answer:

See explanation

Step-by-step explanation:

Your question is different from the attachment

Statement 1

1 adult + 5 Children

$4 for adult and total of $16 for both adult and children

Let

Cost of children skating = x

The equation is

4 + 5x = 16

Statement 2:

Cost of making a bike bag= $4

Selling price of the bike bag = $5

Profit = $16

Let x = number of bike bag

Profit = selling price - cost price

16 = 5x - 4x

16 = x(5 - 4)

Also written as

(5 - 4)x = 16

Statement 3:

Initial temperature = 16°C

Change in temperature per hour = 4°C

Final temperature = 5°C

Let

x = number of hours it changes

16 - 4x = 5

Hope made 3 different yo-yos. She used 1 3/4 meters of string for the first yo-yo, 1 meter of string for the second yo-yo, and a total of meters of string 4 1/3

length of first yo-yo = 1 3/4

length of second yo-yo = 1

Length of third yo-yo = x

Total = 4 1/3

Total length = length of first yo-yo + length of second yo-yo + length of third yo-yo

4 1/3 = 1 3/4 + 1 + x

4 1/3 = 2 3/4 + x

4 1/3 - 2 3/4 = x

13/3 - 11/4 = x

(52-33) / 12 = x

19/12 = x

x = 1 7/12

square root by prime factorisation method of 324​

Answers

Step-by-step explanation:

find the square root

√324

=18

Thirty- five out of sixty students preferred to eat their lunch at school rather going home in lunch break. Express the numbers in decimal.

Answers

Answer:

0.583

Step-by-step explanation:

Use a caluclator

solve for w: 7w < -56

Answers

Lets solve

[tex]\\ \sf\longmapsto 7w<-56[/tex]

Take 7 to right side

[tex]\\ \sf\longmapsto w<dfrac{-56}{7}[/tex]

Simplify

[tex]\\ \sf\longmapsto w<-8[/tex]

Answer:

[tex]\boxed {\boxed {\sf w < -8}}[/tex]

Step-by-step explanation:

We are given an inequality and asked to solve for the variable w.

[tex]7w < -56[/tex]

In order to solve for w, we must isolate the variable. It is being multiplied by 7. The inverse of multiplication is division, so we divide both sides of the inequality by 7.

[tex]\frac {7w}{7} < \frac {-56}{7}[/tex]

[tex]w < \frac{-56}{7}[/tex]

[tex]w < -8[/tex]

w is less than -8 or w < -8.

find the missing side lengths answers are in simplest radical form with the denominator rationalized​

Answers

Answer: Choice C

Explanation:

For any 30-60-90 triangle, the short leg is half of the hypotenuse. The short leg is opposite the smallest angle 30 degrees.

So this means n = 10/2 = 5

Because n = 5, there's only one answer choice that fits and it's choice C.

The sampling distribution of a statistic _________. Group of answer choices gives all the values a statistic can take gives the probability of getting each value of a statistic under the assumption it had resulted due to chance alone is a probability distribution all of the options

Answers

Answer:

all of the options

Step-by-step explanation:

A sampling distribution is a probability distribution, gives the probability of getting each value and all values a statics can take. It is arrived out through a repeated sampling form of a large population. It truly exists as a population.

Which form of payment can you lose and NOT get your money back?

Answers

Answer: Tax?

(I'm just here bc I need 20 words to soobmit)

Answer:

its cash

Step-by-step explanation:

Rita offers to pay for 8 of her friends to play laser tag, but 3
of them don't want to play.
If laser tag costs $5 per person, how much will Rita spend on her friends?
Choose the correct expression and solution to this problem,

Answers

Last Option

Rita will spend $25

5(8-3)

Answered by Gauthmath must click thanks and mark brainliest

Answer:  The correct answer is D.

Step-by-step explanation:

Since 3 of Rita's 8 friends don't want to play laser tag, Rita only has to pay for 5 of her friends to go.

So, the expression would be:

5 (8 - 3)

= 5 (5)

= $25

Hope this helps! :)

One side length of a rectangle is 1/3 of a foot. The second length is 1 2/3 times the length of the first. Find the area of the rectangle.

Answers

Answer:

5/27 ft²

Step-by-step explanation:

a = 1/3

b = 1/3 × 5/3 = 5/9, as 1 2/3 = 5/3

the area of the rectangle is a×b

Ar = 1/3 × 5/9 = 5/27 ft²

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