The velocity-time graph for a cycle is shown.
Velocity (m/s)
Time (seconds)
a) Work out the distance travelled on the cycle in the first 14 seconds.
b) Work out the acceleration in the first 4 seconds.
Answers
The answers to both the subparts are as follows:
(A) In the first 14 seconds, the cycle traveled 96 meters.(B) The acceleration is 2m/s² for the first 4 seconds.What is velocity?Velocity is the direction at which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time (for example, 60 km/h northbound). In kinematics, the area of classical mechanics that deals with the motion of bodies, velocity is a fundamental idea.A physical vector quantity called velocity must have both a magnitude and a direction in order to be defined. Speed, a coherent derived unit whose quantity is measured in the SI (metric system) as meters per second (m/s), is the scalar absolute value (magnitude) of velocity.So, the cycle's velocity-time graph:
The area under the curve will therefore be the distance traveled.A trapezium is formed in the 0–14 second period.With sides that are 14 and 10 in parallel.While there is an 8-mile gap between them.Now,
Area = (1/2)(14 + 10) * 8 = 24 * 4 = 96 So, the distance traveled is 96 meters.Then,
(A) The cycle covered 96 meters in the first 14 seconds.(B) Acceleration in the first four seconds is equal to ((8-0)/(4-0)) = 8/4 = 2 m/s².Therefore, the answer to both the subparts are as follows:
(A) In the first 14 seconds, the cycle traveled 96 meters.(B) The acceleration is 2m/s² for the first 4 seconds.Know more about velocity here:
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Related Questions
Simplify. Express your answer using positive exponents. (7t)(5t8)
Answers
Answer:
280t^2
Step-by-step explanation:
(7t) (5t x 8)
(7t) (5x8t)
(7t) (40t)
280t^2
Hope this helps u ; )
let r be a relation defined on set s where s is the set of all people in usa, and x r y means that x and y can communicate using the same spoken language. the relation r on s is reflexive.
Answers
Based on the information illustrated,
the relation r on s is reflexive. Therefore, it's true.
How to explain the information?If every component of a set X is related to one another, then a relation R over that set is said to be reflexive.
If (a, a) R for all A, that is, if every element of A is R-related to itself, or if aRa for every a A, then R is set to be reflexive.
In the example question, S is the set of all Park students, and R is a relation over S.
When a relationship is described as xRy, it signifies that x and y have the same biological mother.
This relation is obviously a reflexive relation. xRx means x and x has the same biological mother. In this case, the relation satisfies the requirement for all aR (a,a) R.
Therefore, it's true.
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Hellpp asappp broooooo
Answers
46 days
46 bc 414/9=46 hope this helped :)
if $n$ is a positive integer, then let $f(n)$ be the sum of the digits of $\frac{1}{5^{{}^n}}$ that are to the right of the decimal point. what is the smallest positive integer $n$ such that $f(n) > 10$?
Answers
The smallest positive integer is 1.
What is positive integer?Positive Numbers definition the meaning of positive whole numbers in numerical states that "Numbers that are more noteworthy than zero are positive numbers". Numbers can be grouped into three kinds: negative whole numbers, zero, and positive whole numbers. Normal numbers are extremely normal to people since they come from counting objects like apples or sheep.
If s is integer
S = n (a + l)/2
Normal numbers can be utilized to assess your assets, the amount of you possess. There is no biggest regular number. The following regular number can be found by adding 1 to the ongoing normal number, creating numbers that go on "for eternity". Every one of the numbers we use for counting are positive whole numbers. Positive numbers are entirely of a bigger gathering of numbers called whole numbers. Numbers are the entire numbers, both positive and negative. By entire numbers we mean numbers without divisions or decimals.
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To show -1 + (-6) on the number line, which directions would you move? A right one unit, then left six units B left one unit, then right six units C right one unit, then right another six units D left one unit, then left another six units
Answers
Answer: to the left -7
Step-by-step explanation: -1 + -6 = -7
D) Left one unit, then left another six units.
-1 + (-6) = -7
Tom travelled at constant speed of 147 km/h for 3 hours.
Find the distance Tom has travelled.
0
Submit Answer
km
Answers
Answer:
441km
Step-by-step explanation:
hope this works :)
just simplify help for math
Answers
Answer:
156
Step-by-step explanation:
Which pair of figures shows two shapes that each have opposite sides of equal length?
Answers
The box with rhombus and rectangle are the two shapes that each have opposite sides of equal length.
In the options given, the first box has a rhombus and a rectangle.
We know that a rhombus has all four sides of equal length.
This means that opposite sides are of equal length.
We also know that a rectangle has opposite sides of equal length.
In this option, both of them have opposite sides of equal length.
So, this is the correct answer.
The second box has a quadrilateral and a trapezoid.
The trapezoid is a quadrilateral with one pair of opposite sides parallel, but the length of the sides is not equal. A trapezoid might have right angles, then it is called a right trapezoid.
A quadrilateral is a two-dimensional shape that has 4 sides.
In this option, both shapes do not have opposite sides of equal length. So, this is not the right answer to the given question.
The third box has a trapezoid and a parallelogram.
A trapezoid is a quadrilateral with one pair of opposite sides parallel, but the length of the sides is not equal. A trapezoid might have right angles, then it is called a right trapezoid.
We know that a parallelogram has opposite sides of equal length.
In this option, one shape has opposite sides equal but not the other.
So, this is not the right answer to the given question.
The fourth box has a rhombus and trapezoid.
We know that a rhombus has all four sides of equal length.
This means that opposite sides are of equal length.
A trapezoid is a quadrilateral with one pair of opposite sides parallel, but the length of the sides is not equal. A trapezoid might have right angles, then it is called a right trapezoid.
In this option, one shape has opposite sides equal but not the other.
So, this is not the right answer to the given question.
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Which expression is equivalent to 4(−3.7b − 3.1) − (4b + 0.4)?
18.8b + 2.7
−18.8b − 2.7
18.8b − 12.8
−18.8b − 12.8
Answers
Answer:
D. −18.8b−12.8
Step-by-step explanation:
4(−3.7b − 3.1) − (4b + 0.4)
Use distributive property.
4(−3.7b − 3.1) − (4b + 0.4)=
=−14.8b−12.4−4b−0.4
Combine like terms.
14.8b−12.4−4b−0.4=
=−18.8b−12.8
Hope this helps!
Please mark as brainliest if correct!
Answer:
D
Step-by-step explanation:
i had this question and got it right
In simplified form, the square root of 18 is _____. i need help ASAP i will give brainliest
Answers
The Answer is 4.25
hope fully this helps
Answer:
√18 = 3√2
Step-by-step explanation:
√18
√(9×2)
√9 × √2
3 ×√2
= 3√2
What is the value of x, if 32x+11x=172
Answers
Answer:
I think x=4
Step-by-step explanation:
Add 32x+11x
and the answer of that divided by 172.
Hope is correct and can help you.:)
Answer:
x=4
Step-by-step explanation:
Find the coordinates of the centroid of the triangle with the given vertices. (Lesson 5-2)
A(1,7), B(4,2), C(7,7)
Answers
The triangle with vertices located at A(1 , 7), B(4 , 2), and C(7 , 7) has its centroid located at (4 , 16/3).
The centroid of a triangle is the point inside the triangle where the three medians intersect. The median of a triangle is the line the connects the midpoint of a side and the opposite vertex.
To get the centroid of a triangle, use the formula given by:
C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]
where C is the centroid of the triangle located at (x , y)
x1, x2, and x3 are the x-coordinate of the vertices of the triangle
y1, y2, and y3 are the y-coordinate of the vertices of the triangle
Let Point 1(x1 , y1) = A(1 , 7)
Point 2(x2 , y2) = B(4 , 2)
Point 3(x3 , y3) = C(7 , 7)
Plug in the values in the formula.
C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]
C(x ,y) = [(1 +4 + 7)/3 , (7 + 2 + 7)/3]
C(x ,y) = (12/3 , 16/3)
C(x ,y) = (4 , 16/3)
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Find the length of a rectangle with a perimeter of 32 meters and a width of 5 meters
Answers
Answer:
Length is 11 meters
Step-by-step explanation:
Formula we use,
→ P = 2(l + w)
Then the length of rectangle will be,
→ 32 = 2(L + 5)
→ 2L + 10 = 32
→ 2L = 32 - 10
→ L = 22/2
→ [ L = 11 m ]
Hence, the length is 11 meters.
of the 505050 u.s. states, 444 have names that start with the letter \text{w}wstart text, w, end text. what percentage of u.s. states have names that start with the letter \text{w}wstart text, w, end text?
Answers
The required percentage of US states having their names starting with W is 8 %. This is gained by using the concept of percentage.
What do you mean by percentage?
The percentage is usually denoted by the symbol '%'. It is defined as the quantity or ratio which is being expressed in a fraction of 100, where 100 is the denominator.
Calculation of the percentage of US states having their names starting with W
Given:
Total states in US = 50
US states that start with the letter W = 4
Fraction in favour of the names of states starting with the letter W is given by = 4 / 50
Therefore the percentage of US states having their names starting with the letter W is equal to the fraction in favour * 100 %
= 4 / 50 * 100 %
= 4 * 2 %
= 8 %
Hence, the percentage of US states having their first letter as W is 8 %.
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i need drawing ideas
Answers
Answer:
Try drawing whatever makes you feel satisfaction or happiness. There is inspiration all around you. :)
LIST ON WHAT TO DRAW
just draw something colourful
draw something you that you like or admire
or if my options aren't helpful just look for something at the internet
draw anything that you might be in your mind
HOPE IT HELPS
4n square + 5n - 636 split the middle term
Answers
Step-by-step explanation:
4n² + 5n - 636
splitting the middle term
4n² + 53n - 48n - 636 = 0
n(4n + 53) - 12(4n + 53) = 0
(n - 12) (4n + 53) = 0
n = 12 and n = -53/4
Stocks ms. patel invested a total of $825 in two stocks. at the time of her investment, one share of stock a was valued at $12.41 and a share of stock b was valued at $8.62. she purchased a total of 79 shares. select the system of equations that model the situation. solve by using substitution.
Answers
Ms Patel purchased 38 shares of stock a and 41 shares of stock b
Total amount invested in the two stocks = $825
Value of stock a = $12.41
Value of stock b = $8.62
Let the number of shares of stock a be x
Let the number of shares of stock b be y
Therefore, forming the equation we get:
x + y = 79------(1)
12.41x + 8.62y = 825
1241x + 862y = 82500 ------(2)
Multiplying equation (1) by 862 we get,
862x + 862y = 68098------(3)
Equating equations (2) and (3) we get
379x = 14402
x = 38
Putting x = 38 in (1) we get
y = 41
Hence, she purchased 38 shares of stock a and 41 shares of stock b
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What does the symbol BC represent
Answers
Answer:
Step-by-step explanation:
The answer is postulate. That is a rule that is accepted as true without proof.
Does anyone know this answer???
Answers
Answer:
slope = - [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A (- 6, - 5 ) and (x₂, y₂ ) = B (- 4, - 8 )
m = [tex]\frac{-8-(-5)}{-4-(-6)}[/tex] = [tex]\frac{-8+5}{-4+6}[/tex] = [tex]\frac{-3}{2}[/tex] = - [tex]\frac{3}{2}[/tex]
Question
What is the value of x in this figure?
Enter your answer in the box.
x =
Answers
Answer:
360° = 131° + 110° + 107° + 108°
360° = 456° + x
.: x = -96°
What is the distance between (-3, 6) and (5, 2)
Answers
The distance between (-3, 6) and (5, 2) is 4√5 by using the distance formula.
Distance between two points in x y plane by distance formula is:
= √{(x₁ - x₂)² + (y₁ - y₂)²}
Substituting the values of the points:
= √{( -3 - 5 )² + ( 6 - 2 )²}
Solving it further:
= √{( -8 )² + ( 4 )²}
= √{ 64 + 16 }
= √80
= √(2× 2 × 2 × 2 ×5 )
= 2×2× √5
= 4√5
So, the distance between (-3, 6) and (5, 2) is 4√5 by using the distance formula.
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atie said, “Negative numbers are integers.” What was her error?
Answers
Answer:
An integer is any positive or negative number.Her error was saying only negative number s
Hope this helps
Good luck ✅ A bag contains 3 blue chips, 7 red chips, 4 yellow chips, and 5 green chips. A chip is randomly drawn from the bag. Find probability.
P (yellow)
Answers
The probability, P (yellow), that a yellow chip is drawn from the bag is 4/19.
Probability is a term used in mathematics to determine the likelihood that an incident will take place as in this case is the likelihood that a yellow chip is drawn from the bag.
Probability can be given by the formula:
probability= Number of favorable outcomes ÷ Total number of possible outcomes
Hence, in this problem, the formula for probability will be:
P (yellow) = Number of yellow chips / Total number of chips in the bag
The total number of chips in the bag will be equal to the sum of the chips of all colors.
That is, total number of chips = 3 blue chips + 7 red chips + 4 yellow chips + 5 green chips
Total number of chips = 19 chips
So the probability of a yellow chip being drawn out will be:
P ( yellow) = 4/19
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Which angle is supplementary to ∠NPI?
Answers
Answer:
Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180
a piece of wire 100 inches long is cut into two pieces and each bent into the shape of a square. if the sum of the areas of the two squares is 400 in2, find the length of each piece of wire.
Answers
For the given wire, the length of each piece of wire will be 76inch and 24 inch and quadratic equation will be x² - 100x + 1800 = 0
What is a quadratic equation?An algebraic equation of a second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.
Given,
Length of wire = 100 inches
Sum of the areas of two squares = 400 inch²
let length of one wire - x
the length of other wire will be - 100-x
Now, the area of the square = Side²
⇒ (x/4)² + ((100 - x)/4)² = 400
⇒ (1/4)² (x² + 10000 + x² - 2(100)(x)) = 400
⇒ 10000 + 2x² + - 200x = 400 × 16
⇒ 2x² - 200x = 6400 - 10000
⇒ 2x² - 200x = - 3600
⇒ x² - 100x + 1800 = 0
⇒On solving for the value of x, we have x= 76 and 24
Now,
76/4 = 19,
24/4 = 6
So, we have the length of each wire as 76inch and 24inch
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Can anyone help me with this?
Answers
[tex]Draw\ \overline {AB}\perp\overline {CD}\ at\ point \ A.[/tex]
mrs.wendell has a farm with a hard of 159 cows. the weights of her cows are shown in the histogram. mrs. wendell sells all the cows that weigh between 800 and 1199 pounds approximately what percent of her cows does ms. wendell sell?
Answers
According to Mrs. Wendell 's histogram (shown below), 25% of her cows weigh between 800 and 1199 pounds.
What exactly is a histogram, and why is it useful?A popular charting tool is a histogram. On an interval scale, it is used to describe either discrete or continuous data. It is widely used to show the key properties of distribution of the data in an easy-to-understand fashion.
How do you interpret a histogram?Examine the histogram to see if it shows a normal distribution. Once you've plotted all of the frequencies here on the histogram, it will take on a shape. If the shape resembles a bell curve, it indicates that perhaps the frequencies are evenly distributed. A peak would appear on the histogram.
Briefing:Ms. Wendell sells 25% of her her cows. While purchasing a cow, it is important to remember that weight is an important factor. While there may be some exceptions, the majority of cows sold in the United States weigh between 800 and 1200 pounds.
So, if your farm falls within this range, it would be wise to consider buying a cow from Mrs. Wendell .
Additionally, based on these numbers alone, it would make sense for you to purchase one or more cattle from Mrs. Wendell.
Therefore,
according to Mrs. Wendell 's histogram (shown below), 25% of her cows weigh between 800 and 1199 pounds.
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which description best explains the domain of ? the elements in the domain of f(x) for which g(f(x)) is defined
Answers
According to the given data the domain of g[f(x)] is all real numbers.
√2 and -√2.
The correct option is 1.
What is domain?The collection of potential inputs into a function, or the set of input values for which the function is defined, is known as the domain of the function. The collection of things that the machine will accept as inputs is known as the domain in the function machine paradigm.
According to the given information:We will respond to this question using two functions:
f(x) = x² and g(x)
= x²/ x-2
Because the domain of f(x) is the set among all real numbers,
Except for 2, the domain of g(x) is all real integers.
Now
g[f(x)]= g(x²)
= x²/ x-2
Except for real numbers, the domain of g[f(x)] is all real numbers.
√2 and -√2.
The following is the best definition of the domain of g[f(x)]:
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I understand that the question you are looking for is:
Which description best explains the domain of (g(f(x))?
the elements in the domain of f(x) for which g(f(x)) is definedthe elements in the domain of f(x) for which g(f(x)) is not zerothe elements in the domain of g(x) for which g(f(x)) is definedthe elements in the domain of g(x) for which g(f(x)) is not zeroMolly us playing softball. Early in the game she has 12 catches. For the game Molly had -5 catches. How many catches did she drop?
Answers
There are 17 biscuits in a packet.
There are 24 packets of biscuits in a box.
How many biscuits are there in a box in total
Answers
Answer:
408 buiscuits
Step-by-step explanation:
it easy you will just multiply 17(no of buiscuits) × 24(packets of buiscuits)
total = 17×24
total = 408 buiscuits in a box
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