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2 years ago

Which of the following accurately shows the range of the function defined below?

Mathematics

1 answer:

julia-pushkina [17]2 years ago

6 0

Answer:

we need an image in order to answer the question

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In 1928, when the high jump was first introduced as a women's sport at the Olympic Games, the winning jump for women was 70.0 in

sveta [45]

Answer: year 2194

Explanation:

1) Model the jump of the women:

i) initial jump = 70.0 in

ii) increase rate = 0.48% per year

iii) equation: h = 70.0(1 +0.0048)ⁿ

2) Model the jump of the men:

i) initial jump 86.5 inches.

ii) increase rate, 0.4%.

iii) equation: h = 86.5 (1 + 0.004)ⁿ

3) Equal the two equations (h = h) to find when the jumps will be equal:

i) 70.0(1 +0.0048)ⁿ = 86.5 (1 + 0.004)ⁿ

ii) 70.0(1.0048)ⁿ = 86.5 (1.004)ⁿ

ii) [1.0048ⁿ / 1.004ⁿ] = 86.5/70.0

iii) [1.0048/ 1.0040]ⁿ = 86.5/70.0

iv) n log (1.0048 / 1.0040) = log ( 86.5/70)

v) n = log (86.5/70) / log (1.0048/1.0040) ≈ 266

3) year = 1928 + 266 = 2194

That is in the year 2194

8 0

2 years ago

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a bean plant was 15 centimeters tall one week ago. In 5 days it grew 1 meter. find the current height of the plant.

Likurg_2 [28]

The plant is currently 115 centimeters high

4 0

3 years ago

What dose the hypotenuse=?

Kitty [74]

Hypotenuse by Pythagoras theorem = 407.83.

3 0

2 years ago

Javier bought a 20 ounce smoothie that contains 450 total calories how many calories does this smoothie contain per ounce

Olenka [21]

Answer:

22.5

Step-by-step explanation:

You can just take 450 calories divided by 20 ounces. 450 divided by 20 is 22.5, so that is the answer.

3 0

3 years ago

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Reference attached image for the problem.Please show your work for finding the partial area.

-Dominant- [34]

To find the area of a sector of a circle use the next formula:

$A=\frac{\theta}{360º}*\pi *r^2$

As the given circle has a outside angle 90º (it is not part of the sector of the circle) subtract the 90º from 360º (total angle of a circle) to find the angle of the sector:

$\theta=360º-90º=270º$

Find the area of the sector with angle 270º:

$\begin{gathered} A=\frac{270º}{360º}*3.14*(11in)\placeholder{⬚}^2 \\ \\ A=0.75*3.14*121in^2 \\ \\ A=284.955in^2 \end{gathered}$ Then, the approximate area of the given sector of a circle is 284.955 square inches

7 0

9 months ago