A journey between two towns, Pietermaritzburg and Durban, is exactly 90 km 3.1 Use a graph (with at least 5 different speeds in km/h) to model how variation in speed (x) over the journey causes variation in time taken (y) to complete the trip. ​

Answers

Answer 1

Answer:

Speed in km/hr Time in Minutes

90                       60

45                         120

30                         180

15                      360

10                      540

time Decrease when speed increase

Number of times the speed is increased the number of times time taken is reduced  so it is not possible to take no time at all

as we can see from the graph that it is exponential  , reduction in time keep reducing with increase in speed

Step-by-step explanation:


Related Questions

Quieres un chocolate?
Please help reply correctly in Spanish

Answers

Answer:

sí, (yo) quiero un chocolate

The mean of eight numbers is 41.  The mean of two of the numbers is 29. What is the mean of the other six numbers​

Answers

Answer:

45

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Given the mean of 8 numbers is 41 , then

[tex]\frac{sum}{8}[/tex] = 41 ( multiply both sides by 8 )

sum of 8 numbers = 328

Given the mean of 2 numbers is 29 , then

[tex]\frac{sum}{2}[/tex] = 29 ( multiply both sides by 2 )

sum of 2 numbers = 58

The sum of the remaining 6 numbers = 328 - 58 = 270 , so

mean = [tex]\frac{270}{6}[/tex] = 45

The mean of the other 6 numbers = 45

Find the perimeter of quadrilateral ABCD. Round to the nearest tenth.

Kite A B C D on a coordinate plane with coordinates A 3 comma 5, B 1 comma 3, C 3 comma negative 1, and D 5 comma 3.
11.3 units
14.6 units
17.4 units
56.0 units

Answers

Answer:

14.6 units

Step-by-step explanation:

AB = [tex]\sqrt{(1-3)^2+(3-5)^2}[/tex]

AB =[tex]\sqrt{8}[/tex]

BC = [tex]\sqrt{(3-1)^2+(-1-3)^2}=\sqrt{20}[/tex]

CD = [tex]\sqrt{(5-3)^2+(3-(-1))} = \sqrt{20}[/tex]

DA = [tex]\sqrt{(5-3)^2+(3-5)^2} = \sqrt{8}[/tex]

Primeter = [tex]\sqrt{8} + \sqrt{20} + \sqrt{20} +\sqrt{8} = 14.6[/tex]

Help me please I don’t understand

Answers

Answer: A) around 80 cm

=========================================

Explanation:

The perimeter around the circle, aka circumference, is found through this formula

C = 2*pi*r

That's for a full circle. However, we're dealing with semicircles here, so we cut that in half to get pi*r to represent the curved distance around half the circle.

For the outer larger semicircle, that curved distance is exactly 14pi

For the inner smaller semicircle, that curved distance is 7pi, since 7 is half of 14.

The total curved portions is 14pi+7pi = 21pi

Then we add on the last straight line portion that's 14 cm long to get a total perimeter of 21pi+14

This is the exact perimeter in terms of pi.

The last thing to do is replace pi with 3.14 and simplify

21pi+14 = 21*3.14+14 = 79.94

This value rounds to 80

-6 - (-8) x 5 ÷ (-10)

Answers

Answer:

- 10

Step-by-step explanation:

-6+8×5÷-10

-6+40÷-10

-6-4

-10

Answer and Step-by-step explanation:

According to PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction),

First we multiply, then divide, then finally add/subtract.

-8 times 5 is -40.

-40 divided by -10 is 4.

-6 - 4 = -10

The answer to the expression is -10.

#teamtrees #PAW (Plant And Water)

In two half-lives, how much of a 400-gram sample of a radioactive element will remain un-decayed?

Answers

Answer:

100 grams

Step-by-step explanation:

1/2 * 1/2 = (1/2)² = 1/4

1/4 * 400 = 100

What is the answer to this??

Answers

Answer:

C

Step-by-step explanation:

What is the perimeter of ABC?

Perimeter = ___ units.​

Answers

Answer:

12 units

Step-by-step explanation:

From the given figure,

AB=4 units & BC=3 units

By Pythagoras Theorem, [tex]AC^{2} = AB^{2} + BC^{2}[/tex]

Here, [tex]AC^{2} = 4^{2} + 3^{2}[/tex]

Thus, AC=5 units

Now, perimeter of triangle is equal to the sum of all sides.

Perimeter = AB + BC + AC = 4 + 3 + 5 = 12 units

A committee must be formed with 3 teachers and 3 students. If there are 10 teachers
to choose from, and 15 students, how many different ways could the committee be
made?

Answers

Answer:

54,600 ways

Step-by-step explanation:

i hope you understand this

i need help please on this question

Answers

104.7 should be the correct answer
104.7 is the answerrrr

Look at the triangle below which of the following represents two of the angle measures of the triangle

Answers

Answer:

C. 60° and 80°

Step-by-step explanation:

Sum of triangle = 180°

Therefore,

8x + 4 + 6x - 2 + 10x + 10 = 180

Add like terms

8x + 6x + 10x + 4 - 2 + 10 = 180

24x + 12 = 180

24x = 180 - 12

24x = 168

x = 168/24

x = 7

Find each measure of the angles by substitute x = 7 into each expression

8x + 4 = 8(7) + 4 = 60°

6x - 2 = 6(7) - 2 = 40°

10x + 10 = 10(7) + 10 = 80°

The answer is 60° and 80°

Find the dimensions of a cube with a
volume of 125 cubic cm. (Hint: Remember
that a cube has equal dimensions
because all the sides are squares.)

Answers

5cm x 5 cm x 5 cm
I hope this helps


5) 63 peaches in 7 bowls
Rate :
Unit Rate :
6) 480 hours of work in 12 weeks
Rate :

Answers

Answer:

9 peaches per bowl

40 hours each week

Answer:

Your mom

Step-by-step explanation:

tan(pi/2)=_
A. -1
B. 0
C. 1
D. Undefined
AP3X

Answers

Answer: Tan(pi/2)= ∞︎︎

Answer:

I don't know the answer

Step-by-step explanation:

c.1

The following ordered pairs represent a function. (-2,-1) (-1,0), (0,1), (1,2), (2,3)
help quick

Answers

Answer:

c

Step-by-step explanation:

your welcome! :) ❤❤❤❤❤❤❤❤❤❤❤❤

3/4(2x-6)-2(1/2x+1)-1+5x

Answers

Answer:

Distribute:

=(

3

4

)(2x)+(

3

4

)(−6)+(−2)(

1

2

x)+(−2)(1)+−1+5x

=

3

2

x+

−9

2

+−x+−2+−1+5x

Combine Like Terms:

=

3

2

x+

−9

2

+−x+−2+−1+5x

=(

3

2

x+−x+5x)+(

−9

2

+−2+−1)

11

2

x+

−15

2

Step-by-step explanation:

Candace invests $636 in an investment that pays 7% interest compounded quarterly. What is her annual effective yield? Input answer as a percentage to two decimal places.

Answers

Answer:

7.19%

Step-by-step explanation:

let i be the effective rate

[tex](1+\frac{.07}{4})^4=(1+i)\\.071859031[/tex]

The annual effective yield will be 7.19% for the investment.

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Given that Candace invests $636 in an investment that pays 7% interest compounded quarterly.

The annual effective yield will be calculated as below:-

[ ( 1 + ( 0.07 / 4 )⁴ ] = ( 1 + i)

Solve the equation:-

i = 0.0718

i = 0.0718 x 100 = 7.19%

Therefore, the annual effective yield will be 7.19% for the investment.

To know more about compound interest follow

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If post are space 5 feet apart and how many posts are needed for 60 feet of straight line fence

Answers

Step-by-step explanation:

Math is a language

say you plant two posts that are 5ft apart and you want to get up to 60ft

right now you've covered 5ft and now have 60 - 5 = 55ft to go.

you plant the next one: 55 - 5 = 50ft to go

instead of subtracting many times and counting hiw many times we've subtracted, we can use division

60ft / 5ft = 12 posts

to verify, you can multiply 5 and 12 which is the same as adding 5 + 5 + 5 + 5 +... + 5 = 5ft x 12 Posts= 60ft in total length

There are 12 posts for 60 feet of straight line fence.

Here,

Given that,

Post are space 5 feet apart.

We have to find number of posts for 60 feet of straight line fence.

What is Division method?

This method of distributing a group of things into equal parts is termed as division.

Now,

We can division method to find number of posts for 60 feet of straight line fence.

Here, Post are space 5 feet apart.

Number of posts = [tex]\frac{60}{5} = 12[/tex]

Hence, There are 12 posts for 60 feet of straight line fence.

Learn more about the Division method visit:

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#SPJ2

can someone help me with this please ​

Answers

Answer:

B

Step-by-step explanation:

This is because the difference of two squares follows the general equation of (x-a)^2 - a^2 - c

Answer:

It's a

Step-by-step explanation:

[tex] \frac{1}{4} {x}^{2} - 1[/tex]

[tex]{( \frac{1}{2} x)}^{2} - {1}^{2} [/tex]

Find X round to the nearest 10th 21 and 52°

Answers

Answer:

x is triangle

Step-by-step explanation:

sudsy baka

Help plzzz and no links plz and thank you

Answers

Answer:

It's B, Points a and f. -5 and 5

What is the point-slope form of a line with slope 3 that contains the point
(2, 1)?
O A. y-2 = 3(x-1)
O B. y-2 = 3(x + 1)
O c. y-1 = 3(x - 2)
O D. y + 1 = 3(x + 2)
SUBMIT

Answers

Answer:

y-1 = 3(x-2)

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y-1 = 3(x-2)

I need help Thank you i will give brinalist

Answers

Answer:

the answer to this is c no association.

Answer:

C

Step-by-step explanation:

The scatter plot doesn't look linear at all. Therefore, there is no association to game attendance and games won.

Bonjour, je suis en 4e et j’aimerais que vous m’aidiez avec cette feuille d’exercice s’il vous plaît ? (en précisent vos réponses).
Merci d’avance.

Answers

Step-by-step explanation:

1. Soit

T = le coût d'un ticket

5T + 1.8 = 35

T = (35-1.8)/5 = 6.64

On ne sait pas le coût d'un ticket de tramway! :(

2.

a.

1 h : 60 min

x : 18

x = 1*18/60 = 0.3, ou 0.3h

b. => 1h18m = 1.3h

3. 16 L : 4 h

a.

x L : 365*24

x = 365*24 * 16/4 = 35040 L

b.

1 m^3 = 1000 L : 5.2 euros

35040 L : y euros

y = 5.2*35040/1000 = 182.21 euros (au centième)

4.

a. Voir graphique ci-attachée.

b. On voit bien que tous les points tombent sur la droite passant par l'origine, donc la relation est linéaire, ou proportionnelle.

c. La hauteur requise pour 270L est de 100 cm, approximativement, selon la graphique.

Notez la ligne bleue horizontale.

d. L'équation de la capacité (C) versus la hauteur (h) est

C(h) = (8/3)h

Pour C=270, 270 = (8/3)h  => h=270*(3/8) = 101.25

5. et plus

Désolé, on vous conseil de soumettre une question de 4 parties ou moins.

What is the net price if a purchase would have come to $1,500 at the regular price, but a 3% discount applies to this purchase.

Answers

Step-by-step explanation:

100%-3%=97%

$1500*97%=$1455

C=(7,-4) and D= (-8,5) CD=?

Answers

Answer:

Step-by-step explanation:

[tex]x_{1}=7 \ ; y_{1} = -4\\\\x_{2} = -8 \ ; y_{2}=5\\\\CD = \sqrt{(-8-7)^{2}+(5-[-4])^{2}}\\\\=\sqrt{(-15)^{2}+(5+4)^{2}}\\\\=\sqrt{225+(9)^{2}}\\\\=\sqrt{225+81}\\\\=\sqrt{306}\\\\=\sqrt{3*3*2*17}\\\\=3\sqrt{34}[/tex]

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}-(y_{2}-y_{1})^{2}}[/tex]

What is the equation of the line that passes through the given point and is perpendicular to the given line?

Point: (1,1)
Line: y=1/5x+4/5

Answers

Step-by-step explanation:

Hey there!

The equation of a line which passes through the point (1,1) is (y-1) = m1 (x-1)...............(i) {using one point formula}

Also, another equation which is perpendicular to the line is y = 1/5 x + 4/5..........(ii)

Comparing equation (ii) with y= mx+c, we get;

Slope (m2) = 1/5.

Now, As per the condition of perpendicular lines,

m1*m2 = -1

or, m1 * 1/2 = -1

or, m1= -2

Therefore, m1 = -2.

Keeping the value of m1 in equation (i) we get;

y-1 = -2(x-1)

y-1 = -2x+1

or, y+2x-2= 0

Therefore, the required equation is 2x+y-2= 0.

Hope it helps!

X Cube - 5x Square - 2 x + 24​

Answers

Answer:

(x+2)(x-4)(x-3)

(x²-4x+2x-2)(x-3)

(x²-2x-2)(x-3)

=x³-5x²-2x+24

So the answer true

Josef got 80% on a true/false science quiz. He got 20 questions right. How many questions were on the test? (Show all of your calculations)

Answers

21/26 might be the answer

A boat heading out to sea starts out at Point A, at a horizontal distance of 639 feet from a lighthouse/the shore. From that point, the boat's crew measures the angle of elevation to the lighthouse's beacon-light from that point to be 11 degrees . At some later time, the crew measures the angle of elevation from point B to be . Find the 3 degrees distance from point A to point B. Round your answer to the nearest foot if necessary .

Answers

9514 1404 393

Answer:

  1731 ft

Step-by-step explanation:

The tangent relation is useful in this problem.

  Tan = Opposite/Adjacent

The height of the light is found to be ...

  tan(11°) = height/(639 ft)

  height = (639 ft)·tan(11°) . . . . . solve for height

Then the distance from the light to point B is ...

  tan(3°) = height/(B distance)

  B distance = height/tan(3°) = (639 ft)·tan(11°)/tan(3°) ≈ 2370 ft

Then the distance from point A to point B is ...

  2370 ft -639 ft = 1731 ft . . . AB distance

Tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance between points A and B is 1731 feet.

What is Tangent (Tanθ)?

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

As it is given that the distance between the lighthouse and point A is 639 feet, while the angle of elevation from that point is 11°. therefore, using the tan function, the height of the lighthouse,

[tex]\rm Tan(\theta) = \dfrac{Perpendicular}{Base}\\\\Tan(11^o) = \dfrac{CD}{CA}\\\\Tan(11^o) = \dfrac{CD}{639}\\\\Tan(11^o) \times 639 = CD\\\\[/tex]

As we know that CD is the height of the lighthouse, now

In Δ BCD

The tan function for the distance between the lighthouse and point B can be written as,

[tex]\rm Tan(\theta) = \dfrac{Perpendicular}{Base}\\\\Tan(3^o) = \dfrac{CD}{CA}\\\\Tan(3^o) = \dfrac{Tan(11^o) \times 639}{CA}\\\\CA = 2370\ ft.[/tex]

Hence, the distance between the lighthouse and Point B is 2370 ft.

Now, we know the distance between the lighthouse and Point A, and the distance between the lighthouse and Point B, therefore,

The Distance between Point A and B (AB) = CB - CA

                                                                       = 2370 - 639

                                                                       = 1731 ft.

Learn more about Tangent (Tanθ):

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