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.

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]

Answer:

441km

Step-by-step explanation:

hope this works :)

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.

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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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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The smallest positive integer is 1.

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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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

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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Answer:

280t^2

Step-by-step explanation:

(7t) (5t x 8)

(7t) (5x8t)

(7t) (40t)

280t^2

Hope this helps u ; )

Answer: to the left -7

Step-by-step explanation: -1 + -6 = -7

D) Left one unit, then left another six units.

-1 + (-6) = -7

[tex]Draw\ \overline {AB}\perp\overline {CD}\ at\ point \ A.[/tex]

Answer:

156

Step-by-step explanation:

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

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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Answer:

Step-by-step explanation:

The answer is postulate. That is a rule that is accepted as true without proof.

According to the given data the domain of g[f(x)] is all real numbers.

√2 and -√2.

The correct option is 1.

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.

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 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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According to Mrs. Wendell 's histogram (shown below), 25% of her cows weigh between 800 and 1199 pounds.

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.

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.

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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Based on the information illustrated,

the relation r on s is reflexive. Therefore, it's true.

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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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

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

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:

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

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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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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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

Answer:

360° = 131° + 110° + 107° + 108°

360° = 456° + x

.: x = -96°

Answer:

Her error was saying only negative number s

Hope this helps

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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