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2 years ago

Henry is a very active teen who weighs 140 pounds. What are his Dailey energy needs in calories?

Mathematics

2 answers:

Nadusha1986 [10]2 years ago

7 0

2469 calories is what a normal teenager that is shorter should need, hope this helps

uysha [10]2 years ago

4 0

A healthy 140 pound boy needs between 2,000 to 2,400 calories a day.
Hope that helps :)

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In an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushel

Liula [17]

Answer:

Option A is correct.

y = 35.4 bushels per acre when rainfall = 7.1 inches

Step-by-step explanation:

An image of the steps to obtain the equation that relates x to y is attached to this answer.

n = number of variables = 9

μₓ = mean of variable x (rainfall in inches)

μᵧ = mean of variable y (yield in bushels per acre)

σₓ = standard deviation of variable x (rainfall in inches)

σᵧ = standard deviation of variable y (yield in bushels per acre)

y = 4.379x + 4.268

when x = 7.1

y = 4.379(7.1) + 4.268 = 35.3589 = 35.4 bushels per acre.

7 0

2 years ago

Samuel's car usually takes about 12.5 gallons of gas to fill it up when it's empty while driving through Canada Samuel notice th

nika2105 [10]

Answer: 47.4 liters

Step-by-step explanation:

From the question, we are informed that Samuel's car usually takes about 12.5 gallons of gas to fill it up when it's empty and while in Canada, he noticed that one liter is equivalent to 0.264 gallons.

The number of liters it'll take to fill Samuels car will be:

= 12.5/0.264

= 47.4 litres

7 0

3 years ago

For what values of θ on the polar curve r=θ, with 0≤θ≤2π , are the tangent lines horizontal? Vertical?

Bond [772]

Given that $r=\theta$ , then $r'=1$

The slope of a tangent line in the polar coordinate is given by:

$m= \frac{r'\sin\theta+r\cos\theta}{r'\cos\theta-r\sin\theta}$

Thus, we have:

$m= \frac{\sin\theta+\theta\cos\theta}{\cos\theta-\theta\sin\theta}$

Part A:

For horizontal tangent lines, m = 0.

Thus, we have:

$\sin\theta+\theta\cos\theta=0 \\ \\ \theta\cos\theta=-\sin\theta \\ \\ \theta=- \frac{\sin\theta}{\cos\theta} =-\tan\theta$

Therefore, the values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are horizontal are:

θ = 0

θ = 2.02875783811043

θ = 4.91318043943488

Part B:

For vertical tangent lines, $\frac{1}{m} =0$

Thus, we have:

$\cos\theta-\theta\sin\theta=0 \\ \\ \Rightarrow\theta\sin\theta=\cos\theta \\ \\ \Rightarrow\theta= \frac{\cos\theta}{\sin\theta} =\sec\theta$

Therefore, the values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are vertical are:

θ = 4.91718592528713

3 0

3 years ago

A school administrator bought 6 desk sets. Each set consists of one table and one chair. He paid $48.50 for each chalr. If he pa

zlopas [31]

The answer is $62.00

Explanation: If you take $48.50 times 6 you get $291 now subtract $291 from $663 you will have an answer of $372 that is how much the total of tables came to now divide 372 by 6 for the number of tables and you will be left with 62

7 0

3 years ago

Apply the markup or markdown to each item and then find the retail sale price of the following items. Round to two decimal plac

Black_prince [1.1K]

Answer:

5.98

Step-by-step explanation:

2.99 * 1= 2.99

2.99+2.99= 5.98

First you had to multiply 2.99 by 1 because 100% in decimal is 1.

You get 2.99 and you add it to the original price.

And that is how you get 5.98

4 0

3 years ago

Read 2 more answers