Drag each description to the correct location on the chart. In a large single-elimination basketball tournament, the first round of play begins with 64 teams. In each successive round, the number of teams remaining in the tournament is reduced by half. This relationship can be described by the following exponential function. When this relationship is graphed, determine the quantity and axis that will represent each of the variables. x-axis y-axis Teams Remaining Tournament Round
Drag each description to the correct location on the chart. - 1

Answers

Answer 1
Answer:

After the first round only 32 teams will left.

After the second round 16 teams will left.

After the third round 8 teams will left.

After the fourth round only 4 teams will left.

After the fifth round only 3 teams will left.

After the sixth round only 1 team will left.

What is independent and dependent variable?

If x and y are two variables in an algebraic equation and every value of x is linked with any other value of y, then 'y' value is said to be a function of x value known as an independent variable, and 'y' value is known as a dependent variable.

What is an exponential function?

An exponential function is a mathematical function in the form f(x) = a^(x) where x is a variable, and a is a constant called the base of the function.

According to the given question

We have an exponential function

f(x) = 64((1)/(2) )^(x)

And y-axis  represents the teams remaining and x axis represents the tournaments round

Since, here the values of x are independent variables and values of y are dependent variables.

Now for the

Tournament round 1 ,

y = f(1) = 64((1)/(2) )=32

⇒ 32 teams are remaining

Tournament round 2

y = f(2) = 64((1)/(2)) ^(2)

⇒ y = 16, only 16 teams are remaining

For round 3

y = f(3) = 64((1)/(2)) ^(3) =8

For round 4

y = f(4) = 64((1)/(2) )^(4)= 4

⇒ Only 4 teams are remaining

For round 5

y = f(5) = 64((1)/(2) )^(5) = 2

⇒ only 2 teams are remaining

For round 6

y = f(6) = 64((1)/(2)) ^(6)=1

⇒ only one team is remaining

By using these parameters we will plot a graph for tournament rounds .

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Answer 2
Answer:

Answer: Left column x- axis

Right column : Tournament round

Left column: y-axis.

Right column: number of teams remaining

Step-by-step explanation:

You expect the y -value, teams remaining to decrease as you go from the first round to the last round in the x-values.


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Peyton Manning threw for 1,126 yards in his first four games. At this rate, how many yards will he throw for in sixteen games?

Answers

The answer 4504 yards. You divide 1126 by 4 then multiply that answer by 16.

35 POINTS WILL MARK BRAINLIEST!!!
Please solve it from the picture below!!

Answers

I believe it’s B
Good luck!!!

What is the area of the trapezoid? If necessary, round your answer to the nearest tenth. A trapezoid with bottom side length of 8.5 feet, top side length of 5.5 feet, and height of 6.5 feet. 35.8 feet squared 45.5 feet squared 46.8 feet squared 55.3 feet squared

Answers

Answer:

45.5 sq. feet

Step-by-step explanation:

Area of trapezoid is given by 1/2(sum of parallel sides) * height of trapezoid.

In the problem

Parallel sides are  bottom and top sides with  length of 8.5 feet and 5.5 feet

Thus sum of Parallel sides =  8.5 feet + 5.5 feet = 14 feet

Height =  6.5 feet.

Thus,

area of  trapezoid = 1/2*(14)* 6.5 feet = 7*6.5 feet = 45.5 sq. feet

The area of the trapezoid is whose sides are 8.5 feet and 5.5 feet with a height of 6.5 feet is 45.5 feet squared.

What is the area of a trapezoid?

A trapezoid is a quadrilateral with parallel opposite sides and a height.

Mathematically, the area of a trapezoid can be calculated by using the expression:

\mathbf{Area  \ of\  a \  trapezoid = (1)/(2)(a+b)* h}

where:

  • a and b =the two parallel sides of the trapezoid
  • h = height

\mathbf{Area  \ of\  a \  trapezoid = (1)/(2)(8.5+5.5)* 6.5}

\mathbf{Area  \ of\  a \  trapezoid = (1)/(2)(14)* 6.5}

\mathbf{Area  \ of\  a \  trapezoid = 45.5 \  ft^2}

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A 94-ft tree casts a shadow that is 110 ft long. What is the angle of elevation of the sun?

Answers

Answer:

Step-by-step explanation:

Setting up a diagram would be helpful here, so we should have the vertical leg representing the 84-ft. tree and the horizontal leg representing the 120 ft. shadow.  With the two measurements we are given, we should use the tangent ratio, opp/adj,  to set up an equation to solve for the angle of elevation. So the equation will be:

tan θ = 84/120.  Using the tan inverse function on the calculator, we have tan-1( 84/120) = θ and, rounding our decimal value to the nearest 10th, we have θ =35°.  

Final answer:

The angle of elevation of the sun, formed by a 94-ft tree and its 110-ft shadow, can be found using tangent in trigonometry. The formula tan(θ) = opposite/adjacent is used, where the opposite is the height of the tree (94 ft) and the adjacent is the length of the shadow (110 ft).

Explanation:

In the given problem, the tree and its shadow form a right triangle with the sun forming the angle of elevation. The length of the tree represents the opposite side of the triangle, and the shadow length represents the adjacent side. To find the angle of the sun's elevation, we can use the tangent function in trigonometry, which is the ratio of the opposite side to the adjacent side.

Step 1: Define variables
Let θ be the angle of elevation.
Opposite side (o) = 94 ft.
Adjacent side (a) = 110 ft.

Step 2: Use the tangent function
The formula is tan(θ) = o/a.

Step 3: Substitute the values
We substitute our variables into the formula to get θ = tan-1(94/110).

Step 4: Calculations
You can calculate this using a scientific calculator to find the angle of elevation.

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What two numbers have a least common multiple of 40 and a greatest common factor of 2?

Answers

2 and 40
Common factors
40={1,2,4,5,8,10,20,40}
2 = {1,2}

Greatest common factor =2

Common multiples
40={40,80,...}
2 = {2,4,6,8,10,...,40,42,...}

Least common multiple= 40

I need help on finding the height of a triangular pyramidif there’s no work, I don’t get credit

I will give Brainliest

Answers

Answer:

20 in

Step-by-step explanation:

The formula for the volume of a triangular pyramid is V=1/3 x B x H, in which B is the area of the base and H is the height. You're given the volume and area of the base so you can just plug that into the formula. You will get 120 = 1/3 x 18 x H. You can multiply the 1/3 and 18 so you will get 120 = 6H. In this case, you are solving for H so you need to isolate the variable. You can do this by dividing both sides by 6. You will end up eith 20 = H.