the graph shows the speed of a vehicle during the final 50 seconds of a journey at the start of the 50 seconds the speed is k metres per second

Answers

Answer 1

Answer:

a) 27 m/s

b) 30 m/s

c)   i) 3

     ii) Deceleration

Step-by-step explanation:

The question is not complete, the correct question is given as:

The graph shows information about the speed of a vehicle during the final 50 seconds of a journey.  At the start of the 50 seconds the speed is k metres per second.  The distance travelled during the 50 seconds is 1.35 kilometres.

(a) Work out the average speed of the vehicle during the 50 seconds

(b) Work out the value of k.

(c) (i) Calculate the gradient of the graph in the final 10 seconds of the journey

    (ii) Describe what this gradient represents

Answer:

The graph is attached. The total time = 50 seconds, total distance = 1.35 km = 1350 m  

a) The average speed is the ratio of the total distance traveled to the total time taken to cover this distance. The average speed is given by the formula:

[tex]Average \ speed=\frac{total\ distance}{total\ time}\\ Substituting: \\ Average \ speed=\frac{1350\ m}{50\ s} = 27\ m/s[/tex]

b) From the graph, the total distance covered is the area of the graph. The graph is made up of a rectangle and triangle, the area of the graph is equal to the sum of area of rectangle and area of triangle.

[tex]Total \ distance=Total\ area=Area\ of \ rectangle+Area\ of \ triangle\\Total \ distance=(length *breadth)+\frac{1}{2}base*height\\1350 \ m=(40*k)+0.5*10*k\\1350=40k+5k\\45k=1350\\k=1350/45\\k=30\ m/s[/tex]c) i) The gradient in the last 10 seconds is the ratio of change in speed to change in time

[tex]Gradient=\frac{change\ in\ speed }{change\ in\ time}=\frac{0-k}{50-40} \\ bt \ k=30\\Gradient=\frac{0-30}{50-40}= \frac{-30}{10} =-3[/tex]

ii) Since the gradient is negative it means it is deceleration. That is in the in the last 10 seconds the vehicle decelerates at a rate of 3 m/s²

The Graph Shows The Speed Of A Vehicle During The Final 50 Seconds Of A Journey At The Start Of The 50
Answer 2

Answer:

Step-by-step explanation:

a)34 m/s

b) 40k=34

k=34/40

k=0.85 m/s


Related Questions

What is the solution set of the quadratic inequality 6x^2+1≤0?

Answers

Answer:

Ss={}

Step-by-step explanation:

6x^2+1<or=0

6x^2<or=-1

x^2<or=-1/6

x<or=root-1/6

There is no number that satisfiey this equation

SS={}

Answer:

no solution

Step-by-step explanation:

James is following this recipe to make flapjacks.
James uses 450 g of sugar.
How many flapjacks is James making?

Recipe: Makes 8 flapjacks
125 ml syrup
90 g sugar
180 g oats
125 g margarine
30 g sultanas

Answers

Answer:

40

Step-by-step explanation:

90/8=11.25 (1 flapjack)

11.25x40=450

What is the contrapositive of the conditional statement? If two variables are directly proportional in the graph is a linear function

Answers

Is there a picture ? This question resolves a picture

Given that Triangle ABC such that
a=8cm, b=7cm and c=9cm
tem and c= 9cm find Cos B​

Answers

Answer:

We use cosine rule also called cosine law which states

c^2=a^2+b^2-2abcosC

given

a=8cm, b=7cm, c=9cm cos C?

9^2=8^+7^2-2*8*7 cos C

expand

81=64+49-112 cos C

like terms together

81-113=-112 cos C

-32=-112cos C

multiply both sides by -1

32=112cos C

divide both sides by 112

32/112=cos C

cosC=0.2857

find cos inverse of 0.2857

angle C= 73.40

pls help me 13 minute left 10 POINTS

Answers

Answer:

The answer is 6.28.

Step-by-step explanation:

The formula for finding the circumference is C=2 times 3.14 times the radius of the circle. 3.14 times 2 equals 6.28 times the radius which is 1 feet (because half of 2 feet equals 1 feet). 6.28 times 1 equals 6.28.

The answer is 6.28 !!!!

evaluated 5x - (x + 3)2 for x = 2, 

Answers

Answer:

0

Step-by-step explanation:

5x - (x+3)2

5x - (2x+6)

5x - 2x -6

3x - 6

3(2) - 6

6 - 6

0

anyone good at maths who can help me?
brainiest will be given, THANK YOU!!!

Answers

Answer:

Step-by-step explanation:

83% of 408:

83/100 x 408 = 338.64 pounds

41% of 53 :

41/100 x 53 = 0.41 x 53 = 21.73 kg

97% of 345m:

0.97 x 345 = 334.65

please mark brainiest

83% of 408 pounds is 338.64 pounds,41% of 53 kg is 21.73kg, 97% of 345 m is 334.65m

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

We need to find

a)83% of 408 pounds

Firstly we need to convert 83% to decimal by dividing with 100.

83/100=0.83

Now multiply 0.83 with 408

0.83×408=338.64

b)41% of 53 kg

Firstly we need to convert 83% to decimal by dividing with 100.

41/100=0.41

Now multiply 0.41 with 53

0.41×53=21.73

c)97% of 345m

Firstly we need to convert 97% to decimal by dividing with 100.

97/100=0.97

Now multiply 0.97 with 345

0.97×345=334.65m

Hence 83% of 408 pounds is 338.64 pounds,41% of 53 kg is 21.73kg, 97% of 345 m is 334.65m

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7x + 14 - 17-3x = 6x - 4z + 2 - 5 find the value of x
3 5 3

Answers

Answer:

when z=3 or 5 , values of x is ; 6 or 10.

I think that there is a lack of information or misspelling in the question.

Step-by-step explanation:

4x-3=6x-4z-3

4z=2x

2z=x

z=3 => x=6

z=5 => x=10

Si en 1950 el 30% de la población global, alrededor de 700 millones de personas habitaban
en zonas urbanas. Calcule mediante procedimiento matemático la población total y la
población rural para la misma época.

Answers

Answer:

zonas urbanas =>  30  % de la poblacion => 700 millones

poblacion total =>  100 % de la poblacion =>   x      =>  2333.3 millones

poblacion rural => 70% de la poblacion => x - 700  => 1633.33 millones

[tex]x = \frac{700 \times100}{30} =2333.3[/tex]

[tex]x-700=2333.3-700=1633.33\\[/tex]

Need help plotting this on a number line

Answers

Answer:

Fill in the long -5/2 on the number line and draw a ray extending to the left

Step-by-step explanation:

In the 30-60-90 triangle below, side s has a length of ____ and the
hypotenuse has a length of

Answers

Answer:

D

Step-by-step explanation:

1×2=2

1×[tex]\sqrt{3}[/tex]=[tex]\sqrt{3}[/tex]

The other leg of right triangle s is √3 units and hypotenuse of the right triangle is 2 units. Therefore, option D is the correct answer.

What are trigonometric ratios?

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In the given right triangle, one of the leg is 1 unit, other leg is s unit and the hypotenuse is h units.

We know that, tanθ=Opposite/Adjacent

So, tan30°=1/s

1/√3 = 1/s

s=√3

We know that, sinθ=Opposite/Hypotenuse

sin30°=1/h

1/2 = 1/h

h=2

Therefore, option D is the correct answer.

Learn more about the trigonometric ratios here:

brainly.com/question/25122825.

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The ratio of x to y is 1 to 2. What is the value of x if y=4x-36?

Answers

Answer:

18 x, 36y.

Step-by-step explanation:

18x, 36y.

The ratio of x to y is 1 to 2. What is the value of x if y=4x-36?

So y: 2x (since its double the x)

So

2x = 4x - 36

Doing the math....

18x. since y= 2*x, 36y.

(I got help for this one, credits to jess :) )

hope this helps! :)

The value of X is 18.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of X and Y = 1 : 2

This means,

X/Y = 1/2

X = x

Y= 2x

Now,

y = 4x - 36

From (2),

2x = 4x - 36

36 = 4x - 2x

36 = 2x

x = 18

Now,

From (1),

X = x = 18

Thus,

The value of X is 18.

Learn more about ratios here:

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10. Salt and sand mixtures are often used on icy roads. When the mixture is 1 point
dumped from a truck into the staging area, it forms a cone-shaped mound
with a diameter of 100 feet and a height of 60 feet. What is the volume of
the salt-sand mixture?*

Answers

Answer:

The volume of the slat-sand mixture is [tex]157000\ \text{feet}^3[/tex].

Step-by-step explanation:

We have,

Diameter of a cone-shaped mound is 100 feet

Height of a cone-shaped mound is 60 feet

It is required to find the volume of the salt-sand mixture. The volume of a salt-sand mixture which is in the shape of cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

r is radius of cone, r = 50 feet

So,

[tex]V=\dfrac{1}{3}\times 3.14\times (50)^2\times 60\\\\V=157000\ \text{feet}^3[/tex]

So, the volume of the slat-sand mixture is [tex]157000\ \text{feet}^3[/tex].

the are of one of the bases of the figure shown above is about 21.2 cm sq. What is the surface area, in cm sq, of the figure? round your answer to the nearest tenth 9,7,7,7 cm

Answers

Answer:

105.4

Step-by-step explanation:

I got the answer wrong when I answered 95 for some reason and it told me. the answer was 105.4

The surface area is 105.4 square centimeters.

What is surface area?

A surface area formula is a mathematical approach to discovering the total place of any 3-dimensional object occupied by means of all of its surfaces.

what are surface area examples?

The surface area is the overall location blanketed by way of all of the faces of a 3-d item. For an instance, if we need to discover the quantity of paint required to paint a dice, then the surface on which the paint can be carried out is its floor place. it is continually measured in rectangular units.

Learn more about the surface area here https://brainly.com/question/76387

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What is the probability of Sunday following Saturday this week?

Answers

Answer:

certain

Step-by-step explanation:

the probability called certain means that is will occur or it's probability is 1

Answer:

Certain or 1/1 - 2/2 - 3/3 - 4/4 ect.

Step-by-step explanation:

Unless the world ends on Saturday (which is looking more and more certain as the year goes on) Sunday will follow after it the next day.

The y-intercept of the graph of y=(x-c)(x-d)^3 is

Answers

Answer:

Just Make x=0

[tex]y_i=(-c)(-d)^3=cd^3[/tex]

Brenden bought 20 bananas and apples, at $1.20 per banana and
$1.40 per apple. The total cost was $26.
How many bananas and apples did he buy, respectively?​

Answers

Answer:

hey so im guessing its 10 bananas and 10 apples

Step-by-step explanation:

1.2x 10=12

1.4x10= 14

12+14=26

Please help! Correct answer only!

Aisha runs a doggy daycare, where 8 dogs are currently enrolled. The collection of dogs includes 6 of Aisha's favorite type of dog, bulldogs.
If Aisha randomly picks 5 dogs to play in the park during the first time slot, what is the probability that all of them are bulldogs?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

Probability ≈ 0.1071

Step-by-step explanation:

Consider steps below;

[tex]Total Possible Outcomes - 8C5,\\\\8! / 5! ( 8 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 / ( 1 * 2 * 3 * 4 * 5 )( 1 * 2 * 3 ),\\\\6 * 7 * 8 / 6 = Combinations - 56,\\\\[/tex]

[tex]Number Of Outcomes - 6C5,\\\\6! / 5! ( 6 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 / ( 1 * 2 * 3 * 4 * 5 ) ( 1 ),\\720 / 120 * 1,\\\\Outcomes - 6[/tex]

[tex]Conclusion ; Solution - 6 / 56 = ( About ) 0.1071\\Hope That Helps![/tex]

Solution; Probability ≈ 0.1071

Please answer this it's pre-algebra I will give brainliest and thanks

A 40-question test has 108 possible points. There are m 4-point questions and n 2-point questions. How many of each type of questions are on the test?

Answers

Answer:

14 4 point questions and 26 2 point questions

Step-by-step explanation:

i just know


A bag has the following 10 colored stones in it. There are 2 red, 2 blue, 1 orange, 2 purple and 3 green stones. What is the probability of a green stone?

Answers

Answer:

30%

Step-by-step explanation:

Think of the 10 as 100%. 2 as 20% and so on. The green makes up 30%.

which of the following descriptions represent the transformation shown in the image? Part 1b​

Answers

Answer: b) 2 units left, 4 units up, reflect across y-axis

Step-by-step explanation:

The easiest way to do this is to graph the black triangle using the the given options to see which one lands on the red triangle.

The second option is the one that works.

In right triangle XYZ, ∠Z is a right angle, m∠Y=16∘, and XZ=7. sin16∘≈0.276 cos16∘≈0.961 tan16∘≈0.287. What is the measurement of YZ?

Answers

Answer: 24.4

Step-by-step explanation:

So lets review a bit about sine, cosine, and tangent.

Look at attachment below

Okay so we have the opposite side of the triangle and are trying to find the length of the adjacent side. The only trig expression that contains both opposite and adjacent is tangent. The equation goes

tanX = opposite(XZ)/adjacent (YZ)

we know what X is X = 16

and we know what opposite is opposite = 7

so now the equation looks like

tan16 = 7/adjacent

and in the question it says that tan16 = 0.287 so lets plug that in

0.287 = 7/adjacent

0.287adjacent = 7

adjacent = 7/0.287

adjacent = 24.4

YZ = 24.4

solve for x
5(x-10)=25
i need help ASAP

Answers

Answer:

x = 15

Step-by-step explanation:

Given

5(x - 10) = 25 ( divide both sides by 5 )

x - 10 = 5 ( add 10 to both sides )

x = 15

Answer:

x=15

Step-by-step explanation:

[tex]5\left(x-10\right)=25[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5\left(x-10\right)}{5}=\frac{25}{5}\\x-10=5\\\mathrm{Add\:}10\mathrm{\:to\:both\:sides}\\x-10+10=5+10\\x=15[/tex]

What is the slope of the line that contains the points (-32, 23) and (-32, -19)?

Answers

Answer:

undefined

Step-by-step explanation:

The slope of a line is given by

m = (y2-y1)/ (x2-x1)

    = ( -19 -23)/(-32 - -32)

     = 42 / 0

Dividing by zero gives us an undefined answer so the slope is undefined

Keeping the properties of exponents in mind to what power must your raise the expression 7 1/2 to get 7 as a result

Answers

Answer:

x=2

Step-by-step explanation:

(7^ (1/2))ˣ = 7¹

1/2 *x =1

x =2

Pedro runs 9/10 of q mile each day how many miles does Pedro run in 6 days

Answers

Answer: 1.35 miles

Step-by-step explanation:

9/10th of quarter mile = 9/40

For 6 days

9/40 x 6 = 27/20 = 1.35 miles

If mr. burts spent $3.87 on grapes from kroger and bought 3.05 pound,How much was each pound? A)1.25 B)$2.80 C)$ PLZ HURRY

Answers

Answer:

A) $1.25

Step-by-step explanation:

If you divide the 3.87 by 3.05 you will approximately get 1.25

What is the volume of the prism? 1080 cm 2700 cm 3240 cm 6480 cm

Answers

Answer:

Volume of prism = 3,240 cm³

Step-by-step explanation:

GIven.

Hexagonal prism.

Side of base(b) = 12cm

Height of prism = 9cm

Height of base (h)= 10cm

Find:

The volume of the prism.

Computation:

Area of base of hexagonal prism = n/2[bh]

Area of base of hexagonal prism = 6/2[(12)(10)]

Area of base of hexagonal prism = 360 cm²

The volume of prism = Area of base of hexagonal prism × Height of prism

The volume of prism = 360 × 9

Volume of prism = 3,240 cm³

The human lung has about 80 million alveoli. Give two features of the alveoli that allow large amounts of oxygen to enter the blood.

Answers

Answer:

Alveoli forms the respiratory surface in human body.Each alveolus is sac like structure bounded by a single layer of epithelial cells.It is bound on the outside by a network of capillaries. The pulmonary artery from the heart containing deoxygenated blood enters the lungs and then becomes oxygenated after passing in the capillaries through the lungs.

a slushy machine fills 25 containers that hold 64 oz of liquid in a day. how many quarts is this?

Answers

Answer:

50 quarts

Step-by-step explanation:

64oz*25=1600oz

1600oz/32=50q

(32oz in each quart)

Your answer would be 50 quarts
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