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castortr0y [4]
2 years ago
11

More and more businesses and homeowners are installing solar panels on their roofs to draw energy from the sun's rays. According

to the U.S. Department of Energy, the solar cell kilowatt-hour use in the United States (in millions) is projected to be S(t) = 0.73t2 + 15.8t +2.7 (0 < t < 8) in year t, with t = 0 corresponding to 2000.
What was the number of projected solar cell kilowatt-hours used in the United States for 2001? For 2002?
Mathematics
1 answer:
4vir4ik [10]2 years ago
5 0

Answer:

S(2001) = 19.23

S(2002) = 37.22

Step-by-step explanation:

Given that;

S(t) = 0.73t^2 + 15.8t +2.7

t = 0 corresponding 2000

t = 1 then, its mean year 2001

so

S(2001) = 0.73(1)^2 + 15.8(1) +2.7

= 0.73 + 15.8 + 2.7

S(2001) = 19.23

also

t = 2 then, it means 2002

so

S(2002) = 0.73(2)^2 + 15.8(2) +2.7

= 2.92 + 31.6 + 2.7

S(2002) = 37.22

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4. A cruise ship travels in the direction of 55degrees for 40 miles, then changes course to a direction of 100 degrees for 35 mi
olga2289 [7]

Answer:

69.3 mi

Step-by-step explanation:

Let x represent the distance of the ship from its original position.

x²= 40² + 35² -2(40)(35)cos(135)

x^{2} =4804.9

\sqrt{x} ^{2}  = \sqrt{4804.9}

x= 69.3 mi

8 0
1 year ago
Express x in term of y:x/7+2y=6​
lions [1.4K]

Answer:

You have to multiply the denorminator to both sides in order to make x the subject :

\frac{x}{7 + 2y}  = 6

x = 6(7 + 2y)

8 0
2 years ago
the costume designer decides to make the sashes a little smaller, so that each of the 8 dresses can have a sash. What fraction o
Gre4nikov [31]
The costume designer should use 1/8 of the fabric dedicated to sashes for each dress.
8 0
2 years ago
a museum employee surveys a random sample of 350 visitors to the museum. Of those visitors, 266 stopped at the gift shop. Based
Naddika [18.5K]

1748 people are expected to stop at the gift shop out of 2300.

Step-by-step explanation:

Given,

Number of random sampled people = 350

Number of people who stopped at shop = 266

Percentage = \frac{People\ stopped}{Total\ people}*100

Percentage = \frac{266}{350}*100=76\%

Therefore,

76% people would stop at the gift stop.

Number of people = 2300

Expected number = 76% of total

Expected number = \frac{76}{100}*2300

Expected number = 1748

1748 people are expected to stop at the gift shop out of 2300.

4 0
2 years ago
A solid cylindrical metal is melted and recast into cubes of metal of sides 3cm . The base radius of the initial cylindrical met
belka [17]

Answer:

808

Step-by-step explanation:

The volume of the initial cylindrical metal must be equal to the total volume of the cubes.

Let the number of cubes made be x. Therefore:

V_C = V_c * x

where V_C = volume of the cylinder

V_c = volume of each cube

Each of the cubes have sides of length 3 cm.

The volume of a cube is given as:

V_c = L^3

where L = length of side of cube

Therefore, the volume of each cube is:

V_c = 3^3 = 27 cm^3

The volume of a cylinder is given as:

V_C = \pi r^2h

where r = radius

h = height of the cylinder

The volume of the cylinder is:

V_C = \pi * 10.5^2 * 63 = 21823.55 cm^3

Therefore:

21823.55 = 27 * x

=> x = 21823.55 / 27

x = 808.27

Since the number of cubes can only be a whole number, the number of cubes that will be made is 808.

8 0
2 years ago
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