T varies inversely as the square root of u.t = 3 when u = 4.Find t when u = 49.​

To find the desired amount, compare the home runs to the wins to demonstrate the impact of homers on the winning outcomes

. Use x for the wins and y for the number of home runs each time they win

. Initially, you can create a bar graph, followed by a line graph to illustrate how home runs influence victories

. I hope this is useful.

Answer:

It is necessary to invest $5,000 in the 8% option

And, $15,000 in the 12% option

Step-by-step explanation:

Let’s begin by calculating the total expected return.

With an anticipated total return of 11%, the expected amount back is;

11/100 * 20,000 = $2,200

Let x represent the amount put into the 8% investment, and y represent the investment in the 12% option

From this, we have the equation;

x + y = 20,000 ••••••(i)

Now considering the interest portion;

The interest for the 8% portion is 8/100 * x

For the 12% part, it’s 12/100 * y

Thus, we express that as;

(8/100 * x) + (12/100 * y) = 2,200

Consolidating, we have;

8x/100 + 12y/100 = 2,200

Multiplying throughout by 100 gives us

8x + 12y = 220,000 ••••••(ii)

Next, we can solve this system of equations;

x + y = 20,000

8x + 12y = 220,000

Using i, we find x = 20,000 - y

Substituting into ii yields;

8(20,000-y) + 12y = 220,000

160,000-8y + 12y = 220,000

Combining yields 4y = 220,000 - 160,000

Thus, 4y = 60,000

So, y = 60,000/4

y = $15,000

From this, x can be calculated as follows:

x = 20,000 - y

x = 20,000 - 15,000

x = $5,000

B. and D. represent functions

A rectangle is defined as a two-dimensional figure that features two pairs of equal, parallel sides. Its dimensions consist of length (L) and width (W). The area of a rectangle can be calculated using the formula that multiplies these two dimensions together. The perimeter can be expressed as

P = 2L + 2W.

Given that
A = LW = 64
therefore, W = 64/L.
Substituting this value into the perimeter formula yields

P = 2L + 2(64/L)
P = 2L + 128/L.

Answer:

Gus must fill the cylindrical bucket three times to get it filled for the tank

Step-by-step explanation:

Extracting essential details from the query:-

*** A fish tank has a volume of 4710 inches^3

*** The tank owner utilizes a cylindrical bucket for filling the tank

*** The bucket has a radius of 5 inches and a height of 20 inches

*** We need to compute how many times Gus has to fill the bucket to fully fill the fish tank.

Since the container used for filling the tank is cylindrical, we will apply the formula for finding a cylinder's volume to derive the bucket's volume used for filling the tank.

Volume of a cylinder = π × r^2 × h. The radius of the cylindrical bucket is stated as 5 inches while the height is mentioned as 20 inches.

The bucket's volume is therefore calculated as 3.14 × 5^2 × 20 = 1570 inches^3

Next, it is given that the fish tank’s capacity is 4710 inches^3. To find out how many times the bucket can fill the tank, we must divide the tank's volume by the bucket's volume:

4710/1570 = 3 full buckets.

Thus, Gus has to fill the bucket three times for filling the fish tank completely without spillage.