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Ira Lisetskai [31]
2 years ago
7

Find the length of the side of a square with area 225 square units

Mathematics
1 answer:
Anestetic [448]2 years ago
4 0
A = l^{2};
Then, 225 = l^{2};
l^{} =  \sqrt{225} = 15 unit;
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The population of a small town in Ohio was 3,800 people in I. It has slowly been decreasing at a rate of 25% per year. What will
MrRa [10]

Answer:

676 assuming the population is 3800 in 2019. If it's a different year then change t.

Step-by-step explanation:

P(t) = P_{0} (1+r)^t \\\\P(6) = 3800(1-.25)^6 \\=P(6) = 3800(.75)^6\\=676


3 0
2 years ago
A building casts a shadow that is 50 feet in length. If the distance from the end of the shadow to the top of the building is 25
lozanna [386]

Answer:

The height of the building is of 244.95 feet.

Step-by-step explanation:

We use the Pythagorean Theorem to solve this question.

We have that:

The shadow of 50 feet is one side of the right triangle, while the height h is other side.

The hypotenuse is the distance from the end of the shadow to the top of the building, which is 250 feet.

So

50^2 + h^2 = 250^2

h^2 = \sqrt{250^2 - 50^2}

h = 244.95

The height of the building is of 244.95 feet.

8 0
2 years ago
A game stop membership cost $20 and includes one game A month for five dollars. Nonmembers can get one more game a month for sev
miss Akunina [59]

Answer:

C(x) = 5x + 20 (for members)

C(x) = 3.5x (for non-members)

Step-by-step explanation:

Cost of membership = $20

Price of a game per month = $5

So, the linear equation to compute the total cost for a member can be computed by:

C(x) = 5x + 20

where x is the number of games per month

On the other hand, non-members can get one more game per month for $7 which means they get 2 games for $7. The price for a single game is $7/2 = $3.5 a month.

The linear equation to compute the total cost for a non-member is:

C(x) = 3.5x

where x is the number of games per month.

The following system of equations can be used to decide whether to become a member or not, by substituting the number of games in place of x and finding out the total cost.

C(x) = 5x + 20 (for members)

C(x) = 3.5x (for non-members)

3 0
2 years ago
A small independent organic food store offers a variety of specialty coffees. To determine whether price has an impact on sales,
lorasvet [3.4K]

Answer:

b= -4.68

Step-by-step explanation:

Hello!

We have to study variables:

Y: Monthly coffe sales

X: Price per pound of coffe ($)

The estimate regression line is

^Yi= a + bxi ∀ (i=1,.....,10)

The slope of the estimated regression line is represented by b.

The formula I'll use to calculate it is:

b= [n∑xiyi -(∑xi)*(∑yi)]/ n∑xi²-(∑xi)²

To calculate b we need to do some auxiliary calculations:

∑xiyi= 4213.15

∑xi= 87.47

∑yi= 545

∑xi²= 883.3703

Then we replace the formula:

b= [10*4213.15-(87.47)*(545)]/ n883.3703-(87.47)²

b= -4.68

I hope you have a SUPER day!

5 0
2 years ago
Given that
valentina_108 [34]

Answer: x= -3.25

Step-by-step explanation:

R=4x+6y   11=4x+6(4)     11=4x+ 24     11-24=4x   -13=4x  -13/4=x  x=-3.25

11=4(-3.25)+ 6(4)  11= -13+24

6 0
2 years ago
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