Answer:

### What is independent and dependent variable?

### What is an exponential function?

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.

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**.

An exponential function is a mathematical function in the form f(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**

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) =

⇒ 32 teams are remaining

Tournament round 2

⇒ y = 16, only 16 teams are remaining

For round 3

For round 4

⇒ Only 4 teams are remaining

For round 5

⇒ only 2 teams are remaining

For round 6

⇒ only one team is remaining

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

Learn more about the **exponential function **here:

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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.

You have 14 gallons of lemonade to sell. You use cone-shaped cups that are 9 centimeters in diameter and 11 centimeters tall. Eachcustomer uses one paper cup. How many paper cups will you need if you sell all of the lemonade? (1 gal = 3785 cm)

The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 36843684 grams and a standard deviation of 448448 grams. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 43564356 grams. Round your answer to four decimal places.

Solve for the given variable: 4. 24 - 9x = -3x 5. 4(5x + 2) + 11 = 18x + 3 6. 3x - 8x = -27 – 13 Show Your Work

In the expression 4X +2, what do we call the 2

Can someone help me pls

The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 36843684 grams and a standard deviation of 448448 grams. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 43564356 grams. Round your answer to four decimal places.

Solve for the given variable: 4. 24 - 9x = -3x 5. 4(5x + 2) + 11 = 18x + 3 6. 3x - 8x = -27 – 13 Show Your Work

In the expression 4X +2, what do we call the 2

Can someone help me pls

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

Please solve it from the picture below!!

I believe it’s B

Good luck!!!

Good luck!!!

**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.**

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:

where:

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

Learn more about calculating the **area **of a **trapezoid **here:

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**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°.

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).

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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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

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 will give Brainliest

**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.