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3 years ago

11

You want to know how many calories you burn when you exercise. Look at the calories / exercise table below.

1 answer:

EleoNora [17]3 years ago

3 0

First question answer :

cycle for 3 hour = 384*3=1152 calories burn

swim for 1 hour = 303

then, total cycle for 3 hour and 1 hour swim burn = 303+1152 = 1455 calories.

second question answer:

cycle for 5 hour burns = 384 *5 =1920

calories

cycle 5 hour for 6 days burns = 1920*6 =11520 calories

run 1 hour burns = 390 calories

Then,

total 11910 (11520+390) calories burn in a week

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A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

$x_{max}=-b/2a$
$f(x)_{max}=f(x_{max})$

Since our function is A(L)=640L-2L², we get

a=-2
b=640

plug in the value of a and b into the first formula:

$L_{max}=-(640)/2(-2)\implies 160$

$A(L)_{max}=640(160)-2(160)^2\implies 76800$

hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>

and we're done!

3 0

3 years ago

P(Q) = 12/17<br> P(R) = 3/8<br> If Q and Rare independent events, find the PQ and R).

kodGreya [7K]

Answer:

9/34

Step-by-step explanation:

P(QnR) = P(Q) * P(R)

= 12/17 * 3/8

= 9/34

6 0

2 years ago

Suppose a population of deer in the state is 10, 289 and is growing 1% each year. Predict the population after 5 years

eimsori [14]

Answer: the population after 5 years is 10814

Step-by-step explanation:

The population growth of the deer is exponential. We would apply the formula for determining exponential growth which is expressed as

A = P(1 + r)^t

Where

A represents the population after t years.

n represents the period of growth

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 10289

r = 1% = 1/100 = 0.01,

t = 5 years

Therefore,

A = 10289(1 + 0.01)^5

A = 10289(1.01)^5

A = 10814

3 0

3 years ago

2968 Divided. By. 56. What. Is the answer to this problem please show your work

Sladkaya [172]

Answer:

53

Step-by-step explanation:

i had to use this old method (pic related).

8 0

3 years ago

Robert borrowed $750 from his parents. He promised to repay the loan by giving his parents at least $67 from his paycheck each w

Luda [366]

To answer this question we can propose the following equation:

$d=750 -x(67)$

Where:

x is the number of weeks elapsed.

d is the debt depending on the weeks.

Robert promised to pay at least $ 67 each week.

Therefore, after 5 weeks the debt of rober should be:

$d\leq750-5*67$

$d\leq415$

Then scenario A) is possible because $150$ .

After 6 weeks:

$d\leq750-6*67$

$d\leq348$

Then scenario B) is possible because $200$ .

After 7 weeks

$d\leq750-7*67$

$d\leq281$

Then scenario C) is possible because $250$ .

After 8 weeks

$d\leq750-8*67$

$d\leq214$

So scenario D) is NOT possible because $300>214$

Finally the correct answer is option D.

3 0

3 years ago