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miskamm [114]
3 years ago
13

Heidi is preparing for the national gymnastics competition. the table below shows the number of hours Heidi spent preparing for

a gymnastics competition over a period of five months:
Month 1 2 3 4 5
Hours 2 3.5 5 6.5 8
Did Heidi increase the number of hours of practice linearly or exponentially?
A. Linearly, because the table shows an equal increase in hours for an equal increase in months
B. Exponentially, because the table shows an equal increase in hours for an equal increase in months
C.Linearly, because the table shows that hours increase by an equal factor for an equal increase in months
D.Exponentially, because the table shows that hours increase by an equal factor for an equal increase
Mathematics
2 answers:
Olegator [25]3 years ago
5 0

Answer:

C.  Linearly, because the table shows that hours increase by an equal factor for an equal increase in months

Step-by-step explanation:

galina1969 [7]3 years ago
4 0
To answer the problem above, we first need to know the difference in hours.
from month 1 to 2 the difference in hour is 1.5.
Month 2 to 3 =  3.5 to 5 = 1.5
Month 3 to 4 = 5 to 6.5 = 1.5
Month 4 to 5 = 6.5 to 8 = 1.5

The answer is C. Linearly, because the table shows that hours increase by an equal factor for an equal increase in months. which is 1.5 hours per month.
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Please help me with 2b ASAP. <br> Really appreciate it!!
Bogdan [553]

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By definition of the derivative,

f'(x)=\displaystyle\lim_{h\to0}\frac{\frac{(x+h)^2}{(x+h)^2+k^2}-\frac{x^2}{x^2+k^2}}h

f'(x)=\displaystyle\lim_{h\to0}\frac{(x+h)^2(x^2+k^2)-x^2((x+h)^2+k^2)}{h(x^2+k^2)((x+h)^2+k^2)}

f'(x)=\dfrac{k^2}{x^2+k^2}\displaystyle\lim_{h\to0}\frac{(x+h)^2-x^2}{h((x+h)^2+k^2)}

f'(x)=\dfrac{k^2}{x^2+k^2}\displaystyle\lim_{h\to0}\frac{2xh+h^2}{h((x+h)^2+k^2)}

f'(x)=\dfrac{k^2}{x^2+k^2}\displaystyle\lim_{h\to0}\frac{2x+h}{(x+h)^2+k^2}

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\dfrac{k^2}{(x^2+k^2)^2} is positive for all values of x and k. As pointed out, x\ge0, so f'(x)\ge0 for all x\ge0. This means the proportion of occupied binding sites is an increasing function of the concentration of oxygen, meaning the presence of more oxygen is consistent with greater availability of binding sites. (The question says as much in the second sentence.)

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Step-by-step explanation:

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4 years ago
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1. Find the area of the polygon
zhannawk [14.2K]

Answer:

1. A = 40 units²

2. A = 72 units²

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Step-by-step explanation:

1.  This shape comprises 4 congruent triangles with base of 5 units and height of 5 units.

Area of a triangle = 1/2 x base x height

Therefore, area of polygon = 4(1/2 x 5 x 4)

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2.  This shape comprises two pairs of congruent triangles.

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Therefore, area of polygon = 2(1/2 x 2 x 6) + 2(1/2 x 10 x 6)

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2 years ago
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