The graph below shows the relationship between the number of months different students practiced tennis and the number of matches they won:

The title of the graph is Tennis Matches. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 2 and 1, 5 and 2, 8 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 16 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 3.3 and 2, 6.8 and 4, 10 and 6, 13.5 and 8, 17 and 10, 20.5.

Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)

Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points)

Answer:

   26. c. 6 cm

   27. c. 70 cm³

Step-by-step explanation:

Question 26

Question 27

Question 28 (not entirely visible)

Solve:

1)

Find Width

10 * W * 6 = 360

W = 360/60

W = 6 cm

2)

Volume

LWH

(2)(7)(5)

70 cm³

3)

Volume

LWH

(7)(3)(4)

84 m³

If A and B are independent variables, P(A and B) =0.12. Therefore, option B is the correct answer.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

Given that, p(a)=0.60 and p(b)=0.20.

If A and B are independent variables,

P(A and B) =P(P∩B)= P(A) × P(B)

Here, P(P∩B)=0.60×0.20

= 0.12

Therefore, option B is the correct answer.

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Answer:

you will subtract 6 from 5 then your answer will be  g ≥ -1

Step-by-step explanation:

hope this helps

Answer:  [tex]\angle BAD[/tex]

Reason:

The arc goes from ray AB to ray AD. The two rays join at angle A which is the vertex point. When naming an angle, always use the vertex point in the middle. The order of the other two letters does not matter.

We could name this angle as [tex]\angle BAD[/tex] or [tex]\angle DAB[/tex] to mean the same exact thing. All that matters is that "A" is in the middle.

Ignore point C, and ignore ray AC entirely.

Answer:

  (b)  ∠BAD

Step-by-step explanation:

An angle can be named by the names of three points. The first point is on one of the rays that form the angle; the second point is the vertex; the third point is on the other ray.

Apparently the "marked" angle is identified by the arc extending from ray AB to ray AD. Point A is the vertex of the angle, so one possible name for it is ...

  ∠BAD

It can also be called

  ∠DAB

The value of x in the given equation [ √( 1 + (25/144) ) = 1 + (x/12) ] is 5.

An equation is simply a mathematical formula that expresses the equality of two expressions, using the equals sign as a connection between them.

Given that;

First, we square both sides

√( 1 + (25/144) ) = 1 + (x/12)

(√( 1 + (25/144) ))² = (1 + (x/12))²

1 + (25/144) = 1 + ( x²/144)

Collect like terms

1 - 1 + (25/144) = ( x²/144)

25/144 = x²/144

We cross multiply

25 × 144 = x² × 144

Multiply each sides by 1/144

x² = 25

x = √25

x = 5

Therefore, the value of x in the given equation [ √( 1 + (25/144) ) = 1 + (x/12) ] is 5.

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Answer:

f-g=10x+3-(-7x-4)

=10x+3+7x+4

=17x+7

(f-g)(x)= 17x+7

Answer:

17x + 7

Step-by-step explanation:

Subtracting functions: (f - g)(x) is equivalent to f(x) - g(x)

Given:

f(x) = 10x + 3

g(x) = -7x - 4

Simplify:

(10x + 3) - (-7x - 4)

(10x + 3) - (-7x) + - (- 4)

10x + 3 + 7x + 4

17x + 7

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Answer:

[tex]2x - 2y = 24 \\ 2(x - y) = 24 \\ x = 12 + y......eq(1) \\ 4x + 7y = - 40......eq(2) \\ substituting \: the \: value \: of \: x \: in \: eq(2) \\ 4(12 + y) + 7y = - 40 \\ 48 + 4y + 7y = - 40 \\ 11y = - 40 - 48 \\ y = \frac{ - 88}{11} \\ y = - 8 \\ putting \: the \: value \: of \: y \: im \: eq(1) \\ x = 12 - 8 \\ = 4[/tex]

Step-by-step explanation:

3x-2y=24......eqi

x+2y=48........eqii

now solving eq i&ii

4x=72

x=72/4

x=18

now putting the value of x in eqii

18+2y=48

2y=48-18

y=30/2

y=15

Answer: The answer would be (-2,0),(-4,0), and (5,0)

Step-by-step explanation:

Guessing the answer choices are

(-2,0)

(4,0)

(0,10)

(-4,0)

(0,-2)

(0,-10)

(5,0)

Answer:

Step-by-step explanation:

Perimeter

Area

Answer:

Actual volume = 40 cm^3.

Step-by-step explanation:

15% = 0.15 as a decimal fraction.

Let the actual volume be x cm^3, then we have the equation:

x + 0.15x = 46

1.15x = 46

x   = 46 / 1.15  

    = 40 cm^3.

A. Substitute x = 3 into the equation of the line of best fit.

B. Estimate of the inventory on day 3 is: 3 (in hundreds).

The equation of the line of best fit models the relationship between two variables, which can be used for making estimates or predictions.

The equation of the line of best fit given is: f(x) = -1/3x + 4, where:

A. To estimate the inventory after day 3, substitute x = 3 into the equation of the line of best fit.

B. Plug in x = 3 into f(x) = -1/3x + 4

f(3) = -1/3(3) + 4

f(3) = 3

Estimate of the inventory on day 3 is: 3 (in hundreds).

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Given the radius r and the tangent line AB, the length of the line OA is 24 units

The radius r and the tangent line AB meet at a right angle.

By Pythagoras theorem, we have:

AB² = OA² + r²

So, we have:

24² = OA² + 7²

Rewrite as:

OA² = 24² - 7²

Evaluate

OA² = 527

Take the square root of both sides

OA = 23

Hence, the length of OA is 24 units

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Answer:

bottom left

Step-by-step explanation:

when divideing/mult by neg number, sign flips.

Answer:

26

Step-by-step explanation:

a=3

2(5x3-2)

5x3=15

15-2=13

2x13=26

In 5 days the total rental charge is the same for each store.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

Let x be the days. The two-equation will be formed as:-

Total amount = 1.5x   +   12.5  

Total amount = 4x

For the same total amount, we will equate the two equations.

1.5x   +   12.5  =  4x

12.5  =  4x  -  1.5x

12.5  =  2.5x

x  =  12.5  /  2.5

x  =  5 days

Therefore In 5 days, the total rental charge is the same for each store.

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Answer:

10 min = 1/6 hour

Now we make Andrew's average speed v mph so Katherine's average speed is (v-2) mph

a. 8/v - 5/v-2 = 1/6  [distance = speed x time]

b. 8/v - 5/v-2 = 1/6 , v > 2

   8/v - 5/v-2 = 1/6 = 0

48(v-2) -30v-v-(v-2)/6v(v-2) = 0 [transform the expression]

20v-96-v^2/6v(v-2) = 0

20v-96-v^2 = 0

(v-8)(v-12) = 0

{v1=8}

{v2=12}

Step-by-step explanation:

Answer:

The graph will be an exponential function that crosses the y-axis at about (0, -4).

Answer:

x=32

Step-by-step explanation:

Answer:

Step-by-step explanation:

The breadth of your books are perpendicular to the length because they meet at right angles.

The shape of a book is a rectangle. A rectangle has four enclosure. This means they are formed by 4 lines.

The opposite sides are equal in length.

The sides of the book has a pair of breadth and a pair of length.

The breadth and length are straight lines.

When this straight line meets, it forms a right angle(90 degrees). This means the breadth and the length are perpendicular to each other.

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The y-intercept of the correct graph is 185 and  y-intercept of the incorrect graph is 195. The value of average change in distance is -10 for each increase of 1 iron number.

The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the y-axis.

In the graph it can be seen that the correct graph is intersect y-axis at the value 185. Thus, the y-intercept of the correct graph is 185.

c=185

For the incorrect graph this value is 195. Thus, the y-intercept of the incorrect graph is 195.

b=195

Here, the values of y-intercepts are not the same-

c≠b

185≠195

The average change in distance for each increase of 1 iron number is,

[tex]r=\dfrac{155-145}{3-4}\\r=-10[/tex]

Thus, the y-intercept of the correct graph is 185 and  y-intercept of the incorrect graph is 195. The value of average change in distance is -10 for each increase of 1 iron number.

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The value of the function at the right endpoint of the rectangle is 5 +6k/n.

In the question above;

Th width of the interval is said to be  (5 -2) = 3.

So, the width of one of n parts of it = 3/n

To solve for the differences that exist between the left end point of the interval and the value of  x at the right end of the k-th rectangle, one can say that:

 k·(3/n) = 3k/n

Note that the value of x at shows the point of  difference added to the interval's left end and thus it will be:  2 + 3k/n

Therefore, the value of the function for the value of x will be:

 f(2 +3k/n) = 2(2 +3k/n) +1  = (4 +6k/n) +1

 = 5 +6k/n

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Answer:

1.     9 * 5 in.

2.    3 * 15 in.

Step-by-step explanation:

Volume = 1/3 * area of the base * height

120 = 1/3 * A * 8

So A = 120 / (8/3)

= 120 * 3/8

= 45 in^2.

So the dimensions of the base could be 9 * 5 in

or 3 * 15 in.

The possible shapes of the base are a square and a rectangular base.

The volume of a pyramid depends upon the type of pyramid’s base, whether it is a triangle, square or rectangle. A pyramid is a polyhedron figure which has only one base. The base of the pyramid is a poly sided figure.

Given here: A pyramid has a height of 8 inches and a volume of 120 cubic inches. Then we have volume of the pyramid as

120=l×b×8

l×b = 15

Therefore possible dimensions can be 7.5 &7.5 (Square base ) and 5×3 (rectangular base)

Hence, The possible shapes of the base are a square and a rectangular base.

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Answer:

We can identify that the histogram is skewed to the left (more on the left) the center would be 3 and the spread is saying more students are between 58-59 and 60-61 inches were as there is only 3 for the rest

Step-by-step explanation:

I hope this helps I have the same question and this is what I wrote for my answer

Answer:

Its A

Step-by-step explanation:

Its A

Step-by-step explanation:

Proof: equidistance means at an equal distance from two points

so: Take the distance formula and then plug the values in and compare.

Step-by-step explanation:

-4+5

=1

therefore the answer is A.

Answer:

D) x=4

Step-by-step explanation:

-x+5=1

-x=1-5

-x=-4

x=4

Step-by-step explanation:

the positive integer numbers that are divisible by 7 are an arithmetic sequence by always adding 7 :

a1 = 7

a2 = a1 + 7 = 7+7 = 14

a3 = a2 + 7 = a1 + 7 + 7 = 7 + 2×7 = 21

...

an = a1 + (n-1)×7 = 7 + (n-1)×7 = n×7

the sum of an arithmetic sequence is

n/2 × (2a1 + (n - 1)×d)

with a1 being the first term (in our case 7).

d being the common difference from term to term (in our case 7).

how many terms (what is n) do we need to add ?

we need to find n, where the sequence reaches 200.

200 = n×7

n = 200/7 = 28.57142857...

so, with n = 29 we would get a number higher than 200.

so, n=28 gives us the last number divisible by 7 that is smaller than 200 (28×7 = 196).

the sum of all positive integers below 200 that are divisible by 7 is then

28/2 × (2×7 + 27×7) = 14 × 29×7 = 2,842

Answer:

Equation: 1.50x + 10 [tex]\leq[/tex] 34

Amount of rides Dan can go on: 16 rides

Step-by-step explanation:

We can represent this situation using this equation:

1.50x + 10 [tex]\leq[/tex] 34

The $10 Dan has to pay as admission is the fixed number because it doesn't vary and always remains the same, so no x goes next to 10.

Each ride costs $1.50 so this is the variable number as it changes with how many rides Dan goes on, therefore an x will go next to 1.50 to represent the amount of rides Dan goes on.

Lastly, Dan has $34 to spare, so the amount spent has to be less than or equal 34.

Solve the equation for x to find the greatest amount of rides Dan can go on:

1.50x + 10 [tex]\leq[/tex] 34                      Subtract 10 from 34

1.50x [tex]\leq[/tex] 24                             Divide 24 by 1.50

x [tex]\leq[/tex] 16

So, Dan has enough money to go on 16 rides or less.

Let's check this answer:

1.50(16) + 10 [tex]\leq[/tex] 34                   Multiply 1.50 by 16

24 + 10 [tex]\leq[/tex] 34                           Add 24 and 10

34 [tex]\leq[/tex] 34

Hope this helps! Good luck and if you have any questions let me know in the comments!

Answer:

minimum of 5100 mm^2

Step-by-step explanation:

Surface area   2 * ( 70 * 30 + 70 * 4.5 + 30* 4.5) = 5100 mm^2