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padilas [110]
3 years ago
11

Please help !! I would really appreciate it

Mathematics
1 answer:
Savatey [412]3 years ago
6 0

Answer:

Runner 1

Step-by-step explanation:

Runner 1's speed is the slope of the line = (20-0)/(2-0) = 10

Runner 2's speed is the slope of the line = 8.5 (the coefficient of t)

Runner 3's speed is slope = (36-18)/(4-2) = 9

The fastest pace, therefore is of runner 1, because 10>9 AND 10>8.5

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Since 1972 the US. inflation rate has averaged 4.8 % per year . Use the approximate doubling time formula to estimate the doubli
Artemon [7]

Answer:

14  3/4 years

Step-by-step explanation:

Let's assume compound inflation.  The appropriate formula for that is:

A = P(1 + r)^t.

If we represent current prices by P, then double that would be 2P:

2P = P(1 + 0.048)^t    Find t, the time required for prices to double.

Then:

2   =  1.048^t

Taking the natural log of both sides, we get:

ln 2 = t·ln 1.048, so that:

t = (ln 2) / (ln 1.048)   =   14.78

At 4.8 inflation, with annual compounding, prices will double in approx. 14 3/4 years.

3 0
3 years ago
Determine the mass of a solid steel ball that has a diameter of 10 cm. The density of pure steel is 8.09 g/cm3
Basile [38]

Answer:

<em>The mass of the steel ball is 4,235.9 gr</em>

Step-by-step explanation:

<u>Density</u>

The density ρ of a substance is a measure of its mass per unit volume:

\displaystyle \rho=\frac{m}{V}

If the density and the volume are given, the mass can be calculated by solving the above formula for m:

m=\rho.V

We know the density of pure steel ρ=8.09 gr/cm3 and the diameter of a solid steel ball d=10 cm.

We need to calculate the volume of the sphere:

The volume of a sphere of radius r is given by:

\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3

The radius is half the diameter: r= 10/2 = 5 cm. Thus:

\displaystyle V=\frac{4}{3}\cdot \pi\cdot 5^3

Calculating:

V=523.6\ cm^3

The mass is:

m=8.09 gr/cm^3 \cdot 523.6\ cm^3

m=4,235.9 gr

The mass of the steel ball is 4,235.9 gr

4 0
2 years ago
Once a year, a store offers a free frozen yogurt to its customers. Each customer can choose one flavor of frozen yogurt and one
Alex73 [517]

Answer:

HERE YA GO MA BOO, lol just messin dont hate

The answer is B

Step-by-step explanation:

2 times 4 = 8

Kono Dio Da!!!

7 0
3 years ago
Read 2 more answers
(11x + 8) + (8x + 12) =27
Tju [1.3M]

Answer:

11x + 8 +8x +12 =27  (drop the parenthesis, there's no actual need for them)

19x +20 =27 (i combined like terms and then subtracted 20 from both sides)

19x = 7  (divide both sides by 19 to get x alone)

x= 7/19 or 0.36842105 (the answer)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find the area of the unshaded part of the figure
Tcecarenko [31]
<h3>Answer:</h3>

  unshaded area = 25(4 -π) in^2 ≈ 21.46 in^2

<h3>Step-by-step explanation:</h3>

Each of the shaded circles has a diameter of (20 in)/4 = 5 in, which also is the width of the enclosing rectangle. Then each circle has a radius of 2.5 in, and an area of ...

  A = πr^2 = π(2.5 in)^2 = 6.25π in^2

The four circles together have an area of ...

  4A = 4·(6.25π in^2) = 25π in^2

The area of the rectangle is the product of its length and width:

  A = LW = (20 in)(5 in) = 100 in^2

Since the circles are shaded, the unshaded area is the difference between the rectangle area and the total area of the four circles:

  unshaded area = (100 in^2) - (25π in^2) = 25(4 -π) in^2 ≈ 21.46 in^2

7 0
3 years ago
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