The function R = 73. 3*/M3, known as Kielber's law, relates the basal metabolic rate R In Calories per day


burned and the body mass M of a mammal In kilograms.


a. Find the basal metabolic rate for a 180 kilogram lion. Then find the formula's prediction for a 80


kilogram human. If necessary round down to the nearest 50 Calories.


b. Use your metabolic rate result for the lion to find what the basal metabolic rate for a 80 kllogram


human would be if metabolic rate and mass were directly proportional. Compare the result to the result


from part a.


a. Kleiber's law for lion


Calories


Kleiber's law for humans


Calories


b. If metabolic rate and mass were directly proportional


Calories


If the metabolic rate were directly proportional to mass, then the rate for a human would be


(select)


than the actual prediction from Kleiber's law. Kleiber's law Indicates that smaller


organisms have a (select) v metabolic rate per kilogram of mass than do larger organisms.

Answer:

2142 inches^2

Step-by-step explanation:

parallelogram's area: base * height

so, 34*63 = 2142

The scale factor required for the dilation of the living room is 1/3.

A scale factor is a multiplicative fraction that can be used to either increase or decrease (i.e resize) the shape of a given object. It is given by the expression:

scale factor = \(\frac{length on the drawing}{length of the original object}\)

Dilation is type of transformation that can be used to resize the dimensions of a given object. So that an image of the object is formed.

Therefore, the required scale factor is;

scale factor = \(\frac{length on the drawing}{length of the original object}\)

                   = 7/21 or 9/27

                   = 1/3

scale factor = 1/3

The scale factor of the dilation as required in the question is 1/3.

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Answer:

681

Step-by-step explanation:

multipy the speed by distance and time

Answer:

681

Step-by-step explanation:

Answer:

3x+8y+13x= 16x+8y= 8×(2x+y)

Answer:

8(2x+y)

Step-by-step explanation:

Collect all the like terms to simplify. 13x+3x is 16x and theres only one y term so 16x+8y is the answer

Answer:

4 hours

Step-by-step explanation:

1 3/4+ 2 1/4= 3 4/4

3 4/4 is equal to 3 and 1

3+1=4

Answer:

5

Step-by-step explanation:

Oranges: 3.46 $

Grapes: 1.36 $

Apple: They didn't leave you with the cost of the apple so I don't know

Add 3.46 plus 1.36 and you get 4.82. Then round that to 5.00.

Answer: 36 degrees

Step-by-step explanation: 180 degrees - 144 degrees = 36 degrees

Answer:

A = 54 d and x = 45 B = 45 so a = 54 and x= 45 and b= 45 and x = 45

There are total 95040 number of different groups of 5 items can be selected from 12 distinct item.

According to the given question.

Total number of items, n = 12

Total numbers of items to be selected, r = 5

Since, we have to determine the number of different groups of 5 items that can be selected from 12 distinct items. So, we will find the number of different groups by permulation formula i.e.

\(^{n} P_{r} = \frac{n!}{(n-r)!}\)

Where,

\(^{n} P_{r}\) is the total number of permutations.

n is the total number of objects.

r is teh total number of objects to be selected.

Therefore,

The number of different groups or permutaions of 5 items that can be selected from 12 distinct group

\(^{12} P_{5}\)

\(= \frac{12!}{(12-5)!}\)

\(= \frac{12!}{7!}\)

\(= \frac{12\times11\times10\times9\times8\times7!}{7!}\)

= 12 × 11 × 10 × 9 × 8

= 95040

Hence, there are total 95040 number of different groups of 5 items can be selected from 12 distinct item.

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i) Michaelangelo's sells small, medium, large, and jumbo pizzas. - Not nominal data.

Nominal data refers to a type of categorical data where values are assigned to distinct categories or labels without any inherent order or numerical significance. In the given options, both i) and ii) involve categorical information, but only option ii) ("Michaelangelo's most-requested toppings are pepperoni, black olives, and mushrooms") describes nominal data.

In option i), the sizes of pizzas (small, medium, large, and jumbo) can be considered ordinal data as they have a specific order and imply a relative size difference. Ordinal data possesses a sequential arrangement where the categories have a meaningful relationship or hierarchy.

On the other hand, option ii) presents toppings (pepperoni, black olives, and mushrooms) as distinct categories without any inherent order or hierarchy.

Each topping represents a separate label or category, making it an example of nominal data.Therefore, option ii) ("Michaelangelo's most-requested toppings are pepperoni, black olives, and mushrooms") accurately describes nominal data.

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Answer:

The right answer is:

(a) 0.4866

(b) 10.3972

Step-by-step explanation:

Let X be the number of days,

X is \(exp(\lambda)\),

⇒ \(\lambda =\frac{1}{15}\)

now,

⇒ \(F_x(x) = P(X \leq x)\)

              \(=1-e^{-\lambda x}\)

              \(=1-e^{-\frac{x}{15} }\)

or,

\(x>0\)

(a)

⇒ \(P(X<10)=F_x(10)\)

                      \(=1-e^{\frac{10}{15} }\)

                      \(=1-e^{\frac{2}{3} }\)

                      \(=0.4866\)

(b)

If the medium be m, then

\(P(X=m) = \frac{1}{2}\)

                 \(=2^{-1}\)

⇒\(1-e^{-\frac{m}{15} } = \frac{1}{2}\)

        \(e^{-\frac{m}{15} } = 2^{-1}\)

             \(m= 15\ ln2\)

                 \(=10.3972\)  

Answer:

The Answer is gonna be 0.2

0.1504 =0.2

well, clearly is 4 :).

now, if we take 25 to be the 100%, what is 4 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 25 & 100\\ 4& x \end{array} \implies \cfrac{25}{4}~~=~~\cfrac{100}{x} \implies 25x=400\implies x=\cfrac{400}{25}\implies x=16\)

The dosage at which the resulting blood pressure is maximized is x at 0.2 and the maximum dosage is 0.0008.

In the question,

The function is \(B(x) = 0. 06x^2 - 0. 2x^3\)

To find the maximum or minimum, take the derivative and set it equal to zero.

⇒ \(B'(x) = 2(0. 06)x - 3(0. 2)x^{2}\)

Setting it equal to zero, we get

⇒ \(0.12x - 0.6x^{2}=0\)

⇒ 0.6x (0.2-x) = 0

⇒ x = 0 or x = 0.2

Now substitute x = 0.2 in B(x), we get

⇒ \(B(0.2) = 0. 06(0.2)^{2} - 0. 2(0.2)^{3}\)

⇒ B(0.2) = 0.0024 - 0.0016

⇒ B(0.2) = 0.0008

To know B(0.2) is maximum, let us find the values for x = 1 and x = 0.01.

For x = 1,

⇒ \(B(1) = 0. 06(1)^{2} - 0. 2(1)^{3}\)

⇒ B(1) = 0.06-0.2

⇒ B(1) = -1.04

For x = 0.01,

⇒ \(B(0.01) = 0. 06(0.01)^{2} - 0. 2(0.01)^{3}\)

⇒ B(0.01) = 0.000006 - 0.0000002

⇒ B(0.01) = 0.0000058

Thus, x = 0.2 is the maximum.

Hence we can conclude that the dosage at which the resulting blood pressure is maximized is x at 0.2 and the maximum dosage is 0.0008.

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Answer:

قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *قصدي لا انا اعرف بشير بس ما اعرف اخوه يعني *

Answer:

b

Step-by-step explanation:

100/5= 20

he was charhed 20

Answer:

35

Step-by-step explanation:

Given

the above lines of code

Required

What's the output

We'll analyze the code line by line

a = 2 + 6

At this point a = 8

b = 7 % 3

At this point b = 1. This is so because, the remainder of 7%3 is 1

c = a - b

At this point c = 7;

This is calculated by c = 8 - 1 = 7

c = c * 5

At this point; c = 35

This is calculated by: c = 7 * 5 = 35

print(c)

The value of c, which is 35 is printed

Answer:

yess!

Step-by-step explanation:

CORRECT

The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°

From the question, we have the following parameters that can be used in our computation:

The transversal lines and the other lines

So, we have

∠1 = 180 - 53

Evaluate

∠1 = 127°

Also, we have

∠5 = 53°

By vertical angles, we have

∠2 = 53°

∠3 = 127°

Next, we have

∠4 = 127 - 90°

∠4 = 37°

Solving further, we have

∠6 = 90°

By corresponding angles, we have

∠7 = 37°

∠9 = 180 - 90 - 53°

∠9 = 37°

∠10 = 90 + 53°

∠10 = 143°

∠8 = 143°

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a) 8.68 x 10^25

b) 1.439 x 10^12

Answer:

(8.6810±0.0013)×10^26 kg

1.439 time 10^12

Step-by-step explanation:

standard for is the whole numer with thousandth's place times 10^n or the number of zeroes

Answer:

ok i will help

Step-by-step explanation:

so she has 4 choices the first time. And each of those four branches off to 5 possibilities. so the answer is 4*5=20

Answer:

10 routes to her home with a stop at the library

Answer:

\(\frac{22}{15}\)

Step-by-step explanation:

The computation of the Julie drink altogether is as follows:

\(= \frac{4}{5} + \frac{2}{3}\\\\= \frac{12 + 10}{15} \\\\= \frac{22}{15}\)

We simply added the total liter of water that she took before going jogging and after her jog

When the spring is stretched and the distance from point a to point b is 5.3 feet, the value of θ is 53.13  degrees

The distance between point a to point b = 5.3 feet

The length of the top side = 3 feet

Therefore, it will form a right triangle

Here we have to use trigonometric function

Here adjacent side and the hypotenuse of the triangle is given

The trigonometric function that suitable for the given conditions is

cos θ = Adjacent side / Hypotenuse

Substitute the values in the equation

cos θ = 3 / 5

θ = cos^-1(3 / 5)

θ = cos^-1(0.6)

θ = 53.13 degrees

Therefore, the value of θ is 53.13  degrees

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Answer:

y= 5x +12

Step-by-step explanation:

y=mx+b is slope intercept form

m = slope

b = y intercept

Answer:

where is the figure? upload the fig too

Answer:

15

Step-by-step explanation:

9*9+12*12=225

12*12=144

15*15=225

108*108=11664

144*144=20736

If the sand falls at a rate of 16 cubic millimeters per second, a player would have approximately 6.25 seconds for their turn.

The rate of sand falling from the hourglass is given as 16 cubic millimeters per second. We need to find out the time available for a turn. Let's assume that the hourglass is filled with 'x' cubic millimeters of sand.

We can use the formula:

Volume = Rate x Time

Here, the volume of sand is 'x' cubic millimeters, the rate is 16 cubic millimeters per second, and we need to find the time available for a turn, which we can represent as 't' seconds.

So,

x = 16t

We can rearrange this equation to find 't':

t = x/16

This means that the time available for a turn is equal to the volume of sand in the hourglass divided by the rate at which the sand falls.

We don't know the exact volume of sand in the hourglass, but let's assume it's 100 cubic millimeters.

Then,

t = 100/16

t = 6.25 seconds

So, in this case, a player would have approximately 6.25 seconds for their turn before all of the sand falls to the bottom of the hourglass.

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The plan that is most useful for demonstrating a new technology or service or to reach a market that is widely spread out is a proof-of-concept website

The statement about the market section of the classic business plan that is not true is that some people prefer to relocate the competition and competitive advantage section from the market section to the industry section.

A critical risk to the success of your business plan is Overlooked competition.

The pitch deck categories that is sometimes given in the form of a user's experience is Problem slide.

There are two goals you can seek in the "ask" of your elevator pitch. One is to build your network and the other is to get the listener to Make a micro-commitment

A good marketing strategy is most likely to focus on the longer-term competitive plan.

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Answer:

10m + 100 = 15m

20 movies

Step-by-step explanation:

Hello!

Let the number of movies watched be m.

The equation for the first movie club would be 10m + 100, as you pay 10 dollars per movie (10*m) and you add the original membership fee (100).

The equation for the second movie club is 15m, 15 dollars per movie. Set the equations equal to each other and solve for m, the number of movies, so the price would be equal.

Therefore, you would need to watch 20 movies in each movie club for the total price to be equal.

Answer:

12 years

Step-by-step explanation:

1/4÷ 3

= 12

Answer:

Heyhey!!! How ya doing?

Step-by-step explanation:

I can feel it on my skin

It's coming down on me

teardrops on my face

Water like misery

Let it wash away my sins

It's coming down on me

Answer:

\(\displaystyle \int^x_0\sin(3t^2)\,dt\approx x^3-\frac{27}{42}x^7\)

Step-by-step explanation:

Recall the MacLaurin series for sin(x)

\(\displaystyle \sin(x)=x-\frac{x^3}{3!}+\frac{x^5}{5!}-...\)

Substitute 3t²

\(\displaystyle \displaystyle \sin(3t^2)=3t^2-\frac{(3t^2)^3}{3!}+\frac{(3t^2)^5}{5!}-...=3t^2-\frac{3^3t^6}{3!}+\frac{3^5t^{10}}{5!}-...\)

Use FTC Part 1 to find degree 7 for F(x)

\(\displaystyle \int^x_0\sin(3t^2)\,dt\approx\frac{3x^3}{3}-\frac{3^3x^7}{7\cdot3!}\\\\\int^x_0\sin(3t^2)\,dt\approx x^3-\frac{27}{42}x^7\)

Hopefully you remember to integrate each term and see how you get the solution!