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GuDViN [60]
4 years ago
6

59.952 rounded to the nearest tenth

Mathematics
1 answer:
Trava [24]4 years ago
6 0
Rules for rounding is if the previous place is 5 or more, you round up. If it is less than 5, you round down. The thousandths place is five, so you would round up. Now you would also round the ones, since the tenths is at 9. So it would be 60.0
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Select the linear equation represented in the graph
zubka84 [21]

Answer:

what's the graph because you have no image

6 0
3 years ago
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The value of a professional basketball player's autograph rose 30% in the last year. It is now worth $325.00. What was it worth
ANEK [815]
$227.50. First, you convert 30% into a decimal: 0.30. Then, you multiply 325.00 by 0.30. This equals 97.50. 97.50 is 30% of 325, so you need to subtract 97.50 from 325.00. This equals $227.50.
3 0
4 years ago
Find the height, please! need asap
sp2606 [1]

Answer:

Height = 8 cm

Step-by-step explanation:

Volume of cylinder = π×r²×h

288π = π × 36 × h

(Divide both sides by π)

288 = 36 × h

(Divide 288 by 36)

8 = h

5 0
3 years ago
Suppose a home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 288 cub
ratelena [41]

Answer:

The minimum cost is $17.30c

Step-by-step explanation:

Given

V = 288 --- Volume

C_1 = 0.06 --- cost of wall paint

C_2 = 0.16 ---cost of ceiling paint

Required

Minimum cost of paint

The volume is calculated as:

V =xyz

Substitute 288 for V

288 =xyz

Make z the subject

z = \frac{288}{xy}

The surface area is calculated as:

Area = 2(yz + xz) + xy

Because xy represent the dimension of the ceiling and the opposite of the ceiling (the floor) will not be painted. Hence, it does not require a coefficient of 2

The cost is:

C = 0.06 * 2(yz + xz) + 0.16 * xy

Substitute z = \frac{288}{xy}

C = 0.06 * 2(y*\frac{288}{xy} + x*\frac{288}{xy}) + 0.16 * xy

C = 0.06 * 2(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy

C = 0.12(\frac{288}{x} + \frac{288}{y}) + 0.16 * xy

C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 * xy

C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy

Differentiate w.r.t x and y

C_x = -\frac{34.56}{x^2} + 0.16y

C_y = -\frac{34.56}{y^2} + 0.16x

By comparison: x = y

Set them equal to 0

C_y = -\frac{34.56}{y^2} + 0.16x=0

-\frac{34.56}{y^2} + 0.16x=0\\

Substitute x for y

-\frac{34.56}{x^2} + 0.16x=0

0.16x=\frac{34.56}{x^2}

Cross multiply

0.16x^3 = 34.56

x^3 = \frac{34.56}{0.16}

x^3 = 216

Take the cube root of both sides

x = \sqrt[3]{216}

x = 6

x=y= 6

Substitute 6 for x and for y in C = (\frac{34.56}{x} + \frac{34.56}{y}) + 0.16 xy

C = (\frac{34.56}{6} + \frac{34.56}{6}) + 0.16 * 6* 6

C = (\frac{2*34.56}{6}) + 5.76

C = 11.52 + 5.76

C = 17.28

C = 17.3 --- approximated

8 0
3 years ago
A pool estimate that 43% of likely voters are in favor of additional restrictions on teen drivers the Poll has a margin of error
MissTica

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Estimated number of voters in favor of additional restriction = 43%

Margin of Error = ±4%

Write and solve the absolute value equations to find the minimum and maximum percent of voters that support the restriction:

Minimum percentage of voters = 4% lesser than the estimated number of voters

Maximum percentage of voters = 4% greater than the estimated number of voters

Let number of voters = v

|v - 43%| = ±4%

v = - 4% + 43% = 39% = minimum percentage

v = +4% + 43% = 47% = maximum percentage

39% ≤ v ≤ 47%

6 0
4 years ago
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