A cyclist is stationary when a second cyclist passes travelling at a constant speed of 8 m s−1. The first cyclist then accelerates for 5 s at a constant rate of 2 m s−1 before continuing at constant speed until overtaking the second cyclist. By sketching both graphs, find the equations of the two straight line sections of the graphs and hence find how long it is before the first cyclist overtakes the second.

The school store is in $42 loss , Option B is the correct answer.

When the sales is more than the expenses then it is called profit and vice versa is called Loss.

The sales and expenses for three months are given

To calculate overall Profit/Loss

Total Expenses = $125 + $0 +$ 57 = $182

Total Sales = $47 +$65 + $28 = $140

Therefore as sales is less than the expense , The school is in loss

Loss = $ 182 -$ 140 = $42

Thus Option B is the correct answer.

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Answer:

here is answer try this type

value of a = 3

value of b = 2

a + b = 3 + 2 = 5 .

Answer:

xhdvuvzxvzvkkzv jzh jhj,

Step-by-step explanation:

Answer:

6.4

Step-by-step explanation:

It's stated that the shapes are similar.

We can use similarity ratio to find the value of x:

LM/CD = KL/BA

x/4 = (11.2)/7 cross multiply expressions

7x = 44.8 divide both sides by 7

x = 6.4

Answer:

A. 3/4

Step-by-step explanation:

1. Square both sides:
5x + 3 = 9x
2. Subtract 5x from both sides:
3 = 4x
3. Divide 4 from both sides:
3/4 = x
Answer: A

Answer:

3/4

Step-by-step explanation:

it's correct

Answer:

534

Step-by-step explanation:

The solution is in the image

Answer:

The slope is undefined

Step-by-step explanation:

[tex]m=\frac{9-3}{2-2}[/tex]

The denominator leads to 0 so it would not be possible to find the answer

Answer:

undefined

Step-by-step explanation:

anything divided by zero is undefined since you cant logically give (for example) 2 apples to 0 people.

For slopes not so obvious, the formula is (slope)m= (rise)y/(run)x

Step-by-step explanation:

[tex] - \frac{3}{4} x + 2 \frac{1}{4 } = \frac{1}{2} x + 1[/tex]

[tex] - \frac{3}{4} x + \frac{9}{4} = \frac{1}{2} x + \frac{2}{2} [/tex]

[tex] \frac{ - 3x + 9}{4} = \frac{2x + 4}{4} [/tex]

[tex] - 3x + 9 = 2x + 4[/tex]

[tex] - 3x - 2x = 4 - 9[/tex]

[tex] - 5x = - 5[/tex]

[tex]x = \frac{ - 5}{ - 5} [/tex]

[tex]x = 1[/tex]

The answer is C.

Step-by-step explanation:

please mark me as brainlest

Answer:

33 eggs

Step-by-step explanation:

1 Dozen = 12 units

2 dozen = 2*12 = 24 units

3/4 dozen = 12*3/4 = 36/4 = 9 units

2 3/4 = 2 + 3/4 = 24 + 9 = 33 units

The statement; Approximately 120 families turned on their televisions for less than 37 hours is true.

From the task content, since the 10% percentile of the data corresponds to 24 families, it.follws that the total number of families sampled is; 24 × 10 = 240 families.

On this note, after the first 120 data points, the median is determined to be 33.2 hours which is less than the mean. Conclusively, it follows that approximately 120 families turned on their televisions for less than 37 hours.

Hence, the statement is true.

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Answer: 165

Step-by-step explanation: If you calculate the 3 different choices and the total of 11 different objects, you get 165 total combinations.

Answer:

45 possible combinations

Step-by-step explanation:

since there are 5 options of flavour (chocolate, strawberry, vanilla, cookies 'n' cream, and peanut butter) then you must multiply your flavours by your next option.

the size options come in 3 options (small, medium, and large) therefore we multiply the flavours (5) by sizes (3)

5 * 3 = 15

then multiply the result (15) by the cup options (3)

15 * 3 = 45

your answer is 45

hope this helps:)

Answer:

[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

we require 2 equations with the repeating digits placed after the decimal point.

let x = 0.888.. (1) ← multiply both sides by 10

10x = 8.888.. (2)

subtract (1) from (2) thus eliminating the repeating digits

9x = 8 ( divide both sides by 9 )

x = [tex]\frac{8}{9}[/tex]

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[tex]\text{\textbf{Hello!} In this question, we are trying to figure out the \underline{equation} of the line}\\\text{with the given information.}[/tex]
__________________________________________________________

[tex]\textbf{Explanation:}\\\quad{}\\\text{In the question, we were given our \emph{slope} (gradient) and a \emph{point}. This will help}\\\text{us solve our problem.}\quad{}\\\\\text{Slope: 2 }\\\\\text{Point: (1, 4)}\\\quad{}\\\text{In order to find the equation, we will be using the \underline{point-slope formula:}}\\\quad{}\\y - y1 = m(x - x1)\\\quad{}\\\text{With this equation, we would plug in our given values to its}\\\text{correct variable and solve.}[/tex]
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[tex]\textbf{Solve:}\\\\\text{Use the point-slope formula to solve.}\\\\y - y1 = m(x - x1)\quad{}\\\\\text{Plug in 2 to m, 1 to x1, 4 to y1 and then solve.}\\\\y - 4 = 2(x - 1)\\\\\text{Use the \underline{distributive property} to distribute the 2.}\\\\y - 4 = 2x - 2\\\\\text{Add 4 to both sides to cancel the 4 on the left and move the remainder}\\\text{to the right side of the equal sign.}\\\\y = 2x + 2\\\\\text{Since we can't simplify any further, our answer is: \fbox{y = 2x + 2}}[/tex]
__________________________________________________________

[tex]\textbf{Answer:}\\\\\text{Therefore, the equation of the line (our final answer) would be \fbox{y = 2x + 2}}[/tex]
__________________________________________________________

Answer:

Each pizza was $12.55.

Step-by-step explanation:

et's take it piece by piece.

Salad and the tip together is 4.95 + 5 = 9.95, right?

47.60 - 9.95 = 37.65 spent on pizza

37.65/3 = 12.55

Function: y = 3x - 2

To find x-intercept, set [y = 0]:

[tex]\rightarrow \sf 3x - 2 = 0[/tex]

[tex]\rightarrow \sf 3x = 2[/tex]

[tex]\rightarrow \sf x = \dfrac{2}{3}[/tex]

The x-intercept: (2/3, 0)

To find y-intercept, set [x = 0]

[tex]\rightarrow \sf y = 3(0) - 2[/tex]

[tex]\rightarrow \sf y = - 2[/tex]

The y-intercept: (0, -2)

When [y = 5], x is:

[tex]\rightarrow \sf 3x - 2 = 5[/tex]

[tex]\rightarrow \sf 3x = 5 + 2[/tex]

[tex]\rightarrow \sf 3x = 7[/tex]

[tex]\rightarrow \sf x = \dfrac{7}{3}[/tex]

[tex]\rightarrow \sf x = 2 \dfrac{1}{3}[/tex]

Value of x is 2.33...

When [x = 0.5], y is

[tex]\rightarrow \sf y =3(0.5) - 2[/tex]

[tex]\rightarrow \sf y =-0.5[/tex]

Value of y is -0.5

Graph shown:

Answer:

The answer options seem to be missing their exponents for the 10 unit.

Answer is:  5.435778 x [tex]10^{6}[/tex]

Step-by-step explanation:

5,435,778

Move the decimal point to the left until it is between the 5 and 4.  Scientific notation means rewriting the number with only one digit to the left of the decimal point and adding the "x [tex]10^{x}[/tex] after to account for the number of positions the decimal point was moved.  

Count the number of places required for the move.

5,435,778     0

543577.8      1

54357.78      2

5435.778      3

543.5778      4

54.35778      5

5.435778      6

Each move reduces the number by a factor of 10.  This means that the final move to make the number 5.435778 required dividing the original number by 10 a total of 6 times.  By multiplying this last number by 10 a total of 6 times, we obtain the original number.  

We could write this as:    (5.435778)*(10)*(10)*(10)*(10)*(10)*(10)

but that defeats the purpose of scientific notation, which is to simplify the number so that it is 1) easier to read, 2) saves printers paper and ink, and 3) reduces transcription errors.

So scientific notation is the process of writing this as:

5.435778 x [tex]10^{6}[/tex]

The best conclusion for her to come to: D. this could easily happen with a fair coin after only 3 flips.

A fair coin can be defined as an idealized type of coin that has an equal probability of revealing both heads and tails when randomly tossed.

This ultimately implies that, the best conclusion for her to come to is that this could easily happen with a fair coin after only 3 flips considering 2 of the three coins come up tails.

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By applying concepts related to matrices and their dimensions, the element of the matrix that belongs to the 2nd row and 3rd column is 6.

Matrices are constructions studied by linear algebra, are a particular case of tensors. This kind of constructions are characterized by two dimensions: (i) Number of rows - Horizontal rows, (ii) Number of columns - Vertical rows.

Each element of an matrix A has an associated index with the following form:

[tex]a_{i,j}[/tex]

Whose meaning is "element of the matrix A that belongs to the i-th row and j-th column".

In this case, we find that the element of the matrix that belongs to the 2nd row and 3rd column is 6.

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Answer:

[tex]\sf Shaded \: Area=14 \pi r+49 \pi[/tex]

Step-by-step explanation:

Area of a circle

[tex]\sf A=\pi r^2 \quad \textsf{(where r is the radius)}[/tex]

To find the area of the shaded area, subtract the area of the unshaded circle from the larger circle.

Area of the larger circle

[tex]\implies \sf A=\pi (r+7)^2[/tex]

Area of the smaller (unshaded) circle

[tex]\implies \sf A=\pi r^2[/tex]

Therefore, the area of the shaded area is:

[tex]\implies \sf A=\pi (r+7)^2-\pi r^2[/tex]

Expand and simplify the expression:

[tex]\implies \sf A=\pi (r+7)^2-\pi r^2[/tex]

[tex]\implies \sf A=\pi (r^2+14r+49)-\pi r^2[/tex]

[tex]\implies \sf A=\pi r^2 +14 \pi r +49 \pi -\pi r^2[/tex]

[tex]\implies \sf A=14 \pi r+49 \pi[/tex]

OUTER CIRCLE AREA

Inner circle area

Area of shaded one

The reasoning that may be used for finding the measure of m∠12, is the

same side interior angles theorem.

The correct options using the drop-down menu are;

The sum of ∠1, ∠7, and ∠8 is 180°

∠8 and ∠12 are the same side interior angles

The measure of ∠12 must be = 120°

Stuart is not correct

The complete question is given below:-

In the diagram, line x is parallel to line y,m21= 65°, and m27 = 55°. Stuart says that m212 = 60°. His reasoning is shown. Step 1: mZ8 = 60°, because m21+ m27 +m28 = 180º. Step 2:28 212, because 28 and 212 are corresponding angles. Step 3: So, mZ12 = 60° Use the drop-down menus to explain whether or not Stuart is correct.​

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Given parameters;

Line x ║ line y

m∠1 = 65°, m∠7 = 55°

m∠12 = 60°

Stuart states ∠12 = 60°

The reasoning is presented as follows;

Step 1: m∠8 = 60°, because m∠1 + m∠7 + m∠8 = 180°

Step 2: ∠8 ≅ ∠12, because ∠8 and ∠12 are corresponding angles

Step 3: So, m∠12 = 60°

Using the drop-down menu, we have;

The sum of ∠1, ∠7, and ∠8 is 180° (Sum of angles in the triangle)

∠8 and ∠12 are same side interior angles (by definition)

Same side interior angles are supplementary, therefore;

∠8 +∠12 = 180°

∠12 = 180°  - ∠8

Which gives;

The measure of ∠12 must be 180° - ∠8 = 180° - 60° = 120°

The measure of ∠12 must be = 120°

Stuart is not correct

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Horizontal and Vertical translations can transform f(x) to g(x).                                                                                                                                                                                                            

Equations to transform f(x) to g(x) are: g(x) = f(x) + k, and g(x) = f(x + k).

In vertical translation k = 18, and horizontal translation k = 6.

Equations of the two st. lines

Select two points on the line f(x) viz. (1,2), (2,5).

The equation of the line f(x) is

[tex]\frac{y-2}{x-1} = \frac{5-2}{2-1} \Rightarrow \mathbf{y=3x-1}.[/tex]

Select two points on the line g(x) viz. (-5,2), (-4,5).

The equation of the line g(x) is

[tex]\frac{y-2}{x+5} = \frac{5-2}{-4+5} \Rightarrow \mathbf{y=3x+17}.[/tex]

Ways to transform

The two lines, f(x) and g(x), are parallel to each other so their orientation w.r.t. each other is not changed. f(x), thus, can be translated to obtain g(x).

The translation of f(x) can be done in two ways: Vertical translation, and Horizontal translation.

Horizontal translation

f(x) can be translated horizontally to obtain g(x) by the relation of type g(x) = f(x + k).

Using the above relation for the two lines,

3x + 17 = 3(x + k) -1  ⇒  k = 6.

The horizontal translation relation is g(x) = f(x + 6).

Vertical translation

Vertical translation can be done with the relation g(x) = f(x) + k.

Using the above relation for the two lines,

3x + 17 = 3x - 1 + k  ⇒  k = 18.

The vertical translation relation is g(x) = f(x) + 18.

The two transformation relations are: g(x) = f(x + 6), and g(x) = f(x) + 18.

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Using proportion, the equivalent units of the following units are as follows:

Using proportion,

1.60934 km = 1 miles

6 km = ?

cross multiply

distance(m) = 6 / 1.60934 = 3.7282364199 = 3.73 miles

1 litre = 0.264172 gallons

2.5 litres = ?

volume(gallons) = 2.5 × 0.264172 = 0.66 gallons

1 pounds = 0.453592 kg

90 pounds  = ?

weight(kg) = 40.82328 = 40.82 kg

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Answer:

4J = 52

Step-by-step explanation:

If Jenny's height is J:

4J = 52

Answer:

7

Step-by-step explanation:

9 plues 12 = 21

21 divide by 3

= 7

Answer:

7

Step-by-step explanation:

9 + 12 = 21

one third of 21 is the same as 21 divided by 3

so 21 divided by 3

= 7

so 7 is the answer

OR

9 divided by 3 = 3

12 divided by 3 = 4

3 + 4 = 7

Answer:

Positive Linear Association

Step-by-step explanation:

A positive/negative association can be determined by seeing if the slope of the line of best fit is positive or negative. A positive slope indicates a positive relationship and a negative slope indicates a negative relationship.

If y increases as x increases => positive

If y decreases as x increases => negative

In the graph, the line of best fit clearly has a positive slope. I.e. as x increases, y also increases. Therefore, the association is positive.

Next determine if the relationship is linear or nonlinear. A linear relationship can be modeled strongly with a straight line. Anything else is nonlinear. In the graph, a straight line can be draw through the points with a strong correlation, therefore the association is linear.

Therefore, the best answer is Positive Linear Assosciation

The equation that represents the relationship between the radius, r, and arc length, s is s = Θ * r

See attachment for the complete question

From the complete question, we have:

The angle is given in radians.

So, the arc length is calculated using

Arc length = Angle * Radius

Substitute known values

s = Θ * r

Hence, the equation that represents the relationship between the radius, r, and arc length, s is s = Θ * r

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Answer:

A

Step-by-step explanation:

On Edge