-0%
Here is the velocity-time graph of a car
for 40 seconds.
a) Work out the average
acceleration during the
40 seconds.
Give the units of your answer.
30
Velocity
(m/s)
20
10
b) Estimate the time during the
40 seconds when the
instantaneous acceleration
is equal to the
average acceleration
You must show your working
on the graph to get full marks.
Answer seconds
Give your answer to
the nearest second
0-
0
10
30
40
20
Time (s)
Answers
Answer:
a) 0.75m/s^2
b)10
Step-by-step explanation:
a) gradient is change in y/change in x
30/40= 3/4
=0.75m/s^2
Related Questions
Which of the following expressions is equivalent to 5 + 2(10 – 3)?
1. 7(10 – 3)
2. 70 – 3
3. 5 + 20 – 3
4. 5 + 2(7)
Answers
Answer:
4
Step-by-step explanation:
1. 7(10-3)
7×7
49
2. 70-3
67
3. 5+20-3
25-3
22
4.5+2(7)
5+14
24
5+2(10-3)
5+2×7
5+14
24
I GIVEEE BRAINLISTTTTT
Answers
Answer:
the ones with 16 dollar jeans
The sum of two numbers is 56, and their difference is 10. What are the numbers?
A. 33 and 23
B. 30 and 26
C. 20 and 26
D. 20 and 30
Answers
Answer:
A
Step-by-step explanation: If you add 33 and 23 it'll give you 56.If you subtract them you will get 10.
Therefore, you're answer is A.
Certain pieces made by an automatic lathe are subject to three kinds of defects X, Y, Z. A sample of 1000 pieces was inspected with the following results: 2.1% had type X defect. 24% had type Y defect. 2.8% had type Z defect. 0.3% had both type X and type Y defects. 04% had both type X and type Z defects. 0.6% had both type Y and type Z defects. 0.1% had type X, type Y, and type Z defects. Draw a Venn Diagram, then find:
(a) What percent had none of these defects?
(b) What percent had at least one of these defects?
(c) What percent were free of type X and/or type Y defects?
(d) What percent had not more than one of these defects?
Answers
Answer:
a) % age of samples containing none of these defects = 93.9%
b)% age of samples containing at least one of these defects = 6.1%
c) % age of samples free of type X and/or type Y defects = 95.8%
d) %age of samples with not more than 1 defect = 98.9%
Step-by-step explanation:
Data Given:
Number of Samples = 1000
Type X defect = 2.1% = 21 samples
Type Y defect = 2.4% = 24 samples
Type Z defect = 2.8% = 28 samples
Both Type X and Y defect = 0.3% = 3 samples
Both Type X and Z defect = 0.4% = 4 samples
Both Type Y and Z defect = 0.6% = 6 samples
Type X and Y and Z defect = 0.1% = 1 sample
Venn Diagram is attached in the attachment below. Please refer to attachment for the Venn Diagram.
a) % age of samples containing none of these defects.
Solution:
Number of samples containing none of these defects = Total - Samples with defects
Number of samples containing none of these defects = 1000 - { (Type X) + (Type Y) + (Type Z) - (Both X and Y) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }
Number of samples containing none of these defects = 1000 - { (21) + (24) +(28) - (3) -(4) - (6) + (1) }
Number of samples containing none of these defects = 1000 - 61
Number of samples containing none of these defects = 939
% age of samples containing none of these defects = 939/1000 x 100
% age of samples containing none of these defects = 93.9%
b) % age of samples containing at least one of these defects:
We have already calculated this above, number of samples containing at least on of these defects:
number of samples containing at least on of these defects = { (Type X) + (Type Y) + (Type Z) - (Both X and Y) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }
number of samples containing at least on of these defects = { (21) + (24) +(28) - (3) -(4) - (6) + (1) }
number of samples containing at least on of these defects = 61
% age of samples containing at least one of these defects = 61/1000 x 100
% age of samples containing at least one of these defects = 6.1%
c) % age of samples free of type X and/or type Y defects.
For this find, we need to find the samples with only Z Type defect.
Number of Samples with Only Z type defects = { (Type Z) - (Both X and Z) - (Both Y and Z) + (All defects X and Y and Z) }
Number of Samples with Only Z type defects = { (28) -(4) - (6) + (1) }
Number of Samples with Only Z type defects = 19
Now, we also know the number of samples without any defects = 939
Now,
The number of samples free of type X and/or type Y defect = Sum of Number of Samples with Only Z type defects and number of samples without any defects
The number of samples free of type X and/or type Y defect = 19+939
The number of samples free of type X and/or type Y defect = 958
% age of samples free of type X and/or type Y defects = 958/1000 x 100
% age of samples free of type X and/or type Y defects = 95.8%
d) %age of samples with not more than 1 defect:
For this find, we need to find number of samples with only X type and with only type Y and with only type Z.
We have already found the number of samples with only Z type defect = 19
Now,
number of samples with only X type defect = { (Type X) - (Both X and Z) - (Both X and Y) + (All defects X and Y and Z) }
number of samples with only X type defect = { (21) -(4) - (3) + (1) }
number of samples with only X type defect = 15
Similarly,
number of samples with only Y type defect = { (Type Y) - (Both Y and Z) - (Both X and Y) + (All defects X and Y and Z) }
number of samples with only Y type defect = { (24) -(6) - (3) + (1) }
number of samples with only Y type defect = 16
For,
samples with not more than 1 defect = number of samples with only Y type defect + number of samples with only X type defect + number of samples with only z type defect + number of samples without any defects
samples with not more than 1 defect = 939 + 16 + 15 + 19
samples with not more than 1 defect = 989
%age of samples with not more than 1 defect = 989/1000 x 100
%age of samples with not more than 1 defect = 98.9%
On planet Umpt, there are 8 mimstoons to every 11 hoots. If farmer grapple has 60 hoots on his Kent farm, how many mimstoons are on the farm?
Answers
Answer:
480/11
Step-by-step explanation:
8:11 as x:60
480 = 11x
x= 480/11
Pls mark Brainiest :)
The value of A is? The value of B is?
Answers
Answer:
C+B
Step-by-step explanation:
you add A + B = C
Answer:
A=10
B=35
Step-by-step explanation:
total cost of food and drink was less than $116. if $80 was spent on food and 12 bottles of fruit drink were bought for d dollars per bottle. solve the inequality help me please i’ll give 100 points
Answers
Step-by-step explanation:
We have Cost for food + Cost for drinks = Total cost of food and drinks.
=> $80 + 12d < $116
=> 12d < $36
=> d < $3
Hence the drink bottles cost less than $3 each.
Answer:
those are 3 each
Step-by-step explanation:
The function d (t)=65t models the total distance (in miles) that a truck travels from aurora, where d (t) represents the total distance traveled and t represents the number of hours traveled.
a. What is the y-intercept? What does it represent?
b. What is the slope? What does it represent?
c. Is the function increasing or decreasing?
d. What is the distance traveled after 10 hours, d(10)?
Answers
Which do one we answer?
( 2 5/8 + 1/6) + 1 3/8
Answers
Answer:
25/6
Step-by-step explanation:
Answer:
25/6 or 4 1/6
a) Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8/
8 = 16/8
b) Add the answer from previous step 16 to the numerator 5. New numerator is 16 + 5 = 21
Write a previous answer (new numerator 21) over the denominator 8.
Two and five eighths is twenty-one eighths
Add: 21/8 + 1/6= 21 · 3/8 · 3 + 1 · 4/6 · 4= 63/24 + 4/24 = 63 + 4/24 = 67/24
Hope this helps!!
Milan made $156 for 12 hours of work.
At the same rate, how many hours would he have to work to make $117?
Answers
Answer:$117 over 9 hours of work
Step-by-step explanation:
$156 over 12 and then divide those two numbers which gets you 13 now we know you earn $13 per hour. Now, divide 117 by 13 and gets you 9 therefor you earn $117 from 9 hours of work.
What is the answer I need help ?
Answers
Answer:
4
Step-by-step explanation:
Matherson made a wooden triangular pencil holder with an opening at the top. It has a height of 5 inches with the base being an equilateral triangle with sides of 3.5 inches. If the height of the triangle is 4 inches, how much surface area is needed to be painted?
Urgent PLS
Answers
Answer:
Step-by-step explanation:
2.5 surface area
lindsay sounds a spinner once and then flips a fair coin twice, the spinner is shown below. what is the probability of the spinner landing on an odd number and the coin landing on tails both times
Answers
Answer: The probability is that it has a 50/50 chance of landing on either side
Step-by-step explanation:
Carpeting costs $9.95 per yard. If Jamie buys 8 yards, how much will it cost him?
Answers
Answer:
$79.6
Step-by-step explanation:
9.95 x 8 = 79.6
1 A rectangular picture frame has perimeter
70 cm.
a The width of the frame is x cm. Find an
expression, in terms of x, for the height
of the frame.
b Find an equation for the area of the
frame, Acm?, in terms of x.
c Plot the graph which shows how A
varies with x. Use a suitable domain and
range. Hence sketch the graph on paper.
d Find the x-intercepts of the graph in part c.
e State what these two values of x represent.
f Hence find the equation of the graph's
line of symmetry, and state what this
tells you in the context of the problem.
Answers
40 POINTSSS AND BRAINLIEST 40 POINTS
-4y + 6x = -48
The x-intercept is ______
The y-intercept is ______
Answers
Answer:
the x intercept is x=-8
the y intercept is y=12
Step-by-step explanation:
Kayla reads for 45 minutes. Round how long Kayla spends reading to the nearest 10 minutes.
Answers
Answer:
50
Step-by-step explanation:
WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES
Answers
Answer:
the answer is
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
it is A
4x - 2 - 8x = 22
help
Answers
Answer:
x = -6
Step-by-step explanation:
4x - 2 - 8x = 22
-4x - 2 = 22
-4x = 24
4x = -24
x = -6
Steps:
4x-2-8x=22
4x-8x-2=22. (Combine like terms)
-4x-2(+2)=22 (+2). (Subtract 4x and 8 then add 2 on both sides which will cancel the negative 2)
-4x/-4=24/-4(divide -4 on both sides which leaves x)
X=-6 (answer)
Suppose you have $245. If you decide to spend it all on ice cream, you can buy 70 pints. If the price of a glass of lemonade is 2.7 times less than the price of ice cream, how much lemonade can you buy if you decide to spend all your money on it
Answers
Answer:
198
Step-by-step explanation:
From the equation, the number of lemonade will be 306.
How to solve the equation.Since when the person has $245 and decide to spend it all on ice cream, the person can buy 70 pints, the cost of one will be:
= $245/70
= $3.5
The price of a glass of lemonade is 2.7 times less, the price will be:
= $3.5 - $2.7
= $0.8
Therefore, the number of lemonade that can be bought will be:
= 245/0.8
= 306
Learn more about equations on:
https://brainly.com/question/13763238
There are 40 children and 12 adults going on a trip to New York City by car. Each car can hold a maximum of 5 people. What is the least number of cars needed for the trip?
Answers
Answer:
Number of cars needed for the trip = 11
Step-by-step explanation:
Given that:
Number of children = 40
Number of adults = 12
Total number = 40 + 12 = 52 people
Each car can hold 5 people.
Number of cars = [tex]\frac{52}{5}[/tex]
Number of cars = 10.4
Rounding off to next whole number as one car can hold a maximum of 5 people.
Number of cars = 11
Hence,
Number of cars needed for the trip = 11
find the GCF AND LCM OF 25 AND 75
Answers
Answer:
GCF : 5 LCM :75
Step-by-step explanation:
Answer:
GCF is 25 and LCM is 75
Step-by-step explanation:
_____
A customer buys an item that costs $20. The customer pays $1.20 in tax.
What is the tax rate?
A.6%
B.9%
C.8%
D.7%
Answers
Answer:
A. 6%
Step-by-step explanation:
A bag contains 8 blue marbles, 6 red marbles, and 5 green marbles. The marbles are drawn one at a time.
Find the probability, the third marble is red, given that the first two are green and blue and not replaced
Answers
Answer:
6.3% chance
Step-by-step explanation:
The measure of an angle is 60°. What is the measure of its supplementary angle?
Answers
Answer:
120
Step-by-step explanation:
supplementary equal up 180
Maya's test score average decreased by 18 points this semester.
Write a signed number to represent this change in average.
Answers
Answer: -18
Step-by-step explanation:
It is decreasing so the now will become negative since it is same as losing some points.
Question 3
The circumference of a circle is
112.8 millimeters. Calculate the diameter
of the circle.
Answers
question 4/3 y=1 what is y?
Answers
Answer:
y= 3/4
Step-by-step explanation:
Answer:
y=3/4
Step-by-step explanation:
4/3y=1
divide both sides by 4/3
1 divided by 4/3 is 3/4 so:
y=3/4
i’ll give brainliest!!!
Answers
14a. =
15b. 2/3 is less than 0.667
16c. 3 7/8 is greater than 3.375
17d. 3/8 is less than 1/2
if f(x) = x^2 and g(x) = 2x + 1, WHICH EXPRESSION IS EQUIVALENT TO (F O G)(X),
Answers
Answer:
(2x+1)^2 or 4x^2+4x+1
Step-by-step explanation:
I'm going to assume you need to find f(g(x)) when f(x)=x^2 and g(x)=2x+1
You first need to find g(x) which is 2x+1
You then take the f(x) function and replace x with 2x+1
This means our new equation is
(2x+1)^2
Your teacher may or may not want you stop here, really only you know the answer to that
But if we expand this we'll find that (2x+1)^2=4x^2+4x+1
The equivalent expression of (f o g) is 4x² + 4x + 1.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Two functions are given.
f(x) = x²
g(x) - 2x + 1
Now,
(f o g)(x) = f(g(x))
g(x) - 2x + 1
So,
f(g(x)) = f(2x + 1)
Now,
f(2x + 1)
= (2x + 1)²
= 4x² + 4x + 1
Thus,
The expression of (f o g) is 4x² + 4x + 1.
Learn more about functions here:
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