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3 years ago

Suppose that in a normal half hour of practice, a tennis player expends 280 calories of energy.

Mathematics

1 answer:

sertanlavr [38]3 years ago

4 0

Answer:

308 Calories

Step-by-step explanation:

So we start off with 280 as usual, but I will focus on the percent. The given percent is 110% "effort". What we would need to do here is, Firstly, change the percent into a decimal, and this is done by moving the decimal spot of 110%. What I mean is that 110.% and you move that little period over 2 times to the left and also remove the percent as for now because we will not need it. After that you would get 1.10. This is what we will multiply by. So if we did 280x1.10 it equals 308, and that is how I got 308

Hope this helps!

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Suppose a population of honey bees in Ephraim, UT has an initial population of 2300 and 12 years later the population reaches 13

Rama09 [41]

Answer:

common ratio: 1.155

rate of growth: 15.5 %

Step-by-step explanation:

The model for exponential growth of population P looks like: $P(t)=P_i(1+r)^t$

where $P(t)$ is the population at time "t",

$P_i$ is the initial (starting) population

$(1+r)$ is the common ratio,

and $r$ is the rate of growth

Therefore, in our case we can replace specific values in this expression (including population after 12 years, and initial population), and solve for the unknown common ratio and its related rate of growth:

$P(t)=P_i(1+r)^t\\13000=2300*(1+r)^{12}\\\frac{13000}{2300} = (1+r)^12\\\frac{130}{23} = (1+r)^{12}\\1+r=\sqrt[12]{\frac{130}{23} } =1.155273\\$

This (1+r) is the common ratio, that we are asked to round to the nearest thousandth, so we use: 1.155

We are also asked to find the rate of increase (r), and to express it in percent form. Therefore we use the last equation shown above to solve for "r" and express tin percent form:

$1+r=1.155273\\r=1.155273-1=0.155273$

So, this number in percent form (and rounded to the nearest tenth as requested) is: 15.5 %

6 0

3 years ago

P l e a s e h e l p p p p !!!

Mandarinka [93]

Answer:

This would be the last option I think, sorry if it's wrong.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Does anyone understand this.

Elodia [21]

Its C. The point is at 3 and goes down, therefore C.

8 0

3 years ago

Read 2 more answers

The coefficient of x is

elena-s [515]

Answer:

coefficient is a number in front of a variable. For example, in the expression x 2-10x+25, the coefficient of the x 2 is 1 and the coefficient of the x is -10. The third term, 25, is called a constant.

3 0

2 years ago

Let f(x)= 7-2x Find a. f(4) b. f(h) c. f(4) + f(h) d. f(3+h)

anyanavicka [17]

Step-by-step explanation:

a) f(4) = 7-2(4)

= -1

b) f(h) = 7-2(h)

= 7-2h

c) f(4) + f(h) = -1 +(7-2h)

= 6-2h

h = 3

d) f(3+h) = 7-2(3+h)

= 7-6-2h

= -1-2h

2h= -1

h = -1/2

p/s = if the real answer is different with my answer, tell me also please. Im just a student that still learning.

4 0

3 years ago