MATHEMATICS HIGH SCHOOL

In 2004, it was reported that "the relationship between body mass, M, and standard metabolic rate, B, among living organisms remains controversial. However, in many cases B is approximately proportional to the three-quarters power of M. a.he average mass of an African forest elephant is 4.6 metric tons, and that of a typical mouse is 25 grams. Use part (a) to determine how many times greater the metabolic rate of an elephant is than that of a mouse. Recall that 1 metric ton = 1,000,000 grams.

Answers

Answer 1
Answer: The answer is 8884.37 times

In many cases, B is approximately proportional to the three-quarters power of M:
B= M^(3/4)

Elephant:
M1 = 4.6 mt = 4.6 * 1,000,000 g = 4,600,000 g
B1= 4600000^(3/4)=99327.24

Mouse 
M2 = 25 g
B2= 25^(3/4)=11.18

determine how many times greater the metabolic rate of an elephant is than that of a mouse:
B1/B2 = 99327.24 / 11.18 = 8884.37 times

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ΔCAR has coordinates C (2, 4), A (1, 1), and R (3, 0). A translation maps point C to C' (3, 2). Find the coordinates of A' and R' under this translation. A' (4, −2); R' (2, −1) A' (−2, 2); R' (2, −2) A' (2, −1); R' (4, −2) A' (−1, 0); R' (−2, 2)

The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x^2 + 4x – 60. The cost, in dollars, of producing the toy cars can be modeled by 3x^2 – x + 200. The number of toy cars sold is represented by x.If the profit is the difference between the revenue and the cost, what expression represents the profit?
3x – 260
3x + 140
5x – 260
5x + 140

Answers

Answer:

The expression which represents profit is:

                             5x-260

Step-by-step explanation:

The number of toy cars sold is represented by: x.

Now, the revenue, in dollars of a company is given by the polynomial function:

R(x)=3x^2+4x-60

and the cost, in dollars of producing the toy car is given by the polynomial expression:

C(x)=3x^2-x=200

Also, let P(x) denote the profit function.

It is given that:

Profit is the difference between the revenue and the cost.

i.e.

Profit=R(x)-C(x)\n\ni.e.\n\nP(x)=R(x)-C(x)\n\ni.e.\n\nP(x)=3x^2+4x-60-(3x^2-x+200)

( Now we know that if the sign before the parentheses is negative then the terms inside the parentheses open up with opposite signs)

i.e.

P(x)=3x^2+4x-60-3x^2+x-200\n\ni.e.\n\nP(x)=3x^2-3x^2+4x+x-6-200

( Since, on combining the like terms)

i.e.

P(x)=5x-260
Hello,

P(x)=3x²+4x-60-(3x²-x+200)=5x-260

Answer C

Dr. Black is standing 13 feet from a streetlamp. The lamp is making his shadow 9 feet long. He estimates that the angle of elevation from the tip of his shadow to the top of the streetlamp is 50. To the nearest foot, the streetlamp is about _____.

Answers

Distance from tip of shadow to lamp post = 13 +9 feet = 22 ft Height of lamp post = x tan 50 = x /22 = 1.192 x = 22 * 1.192 =.26.2 ft. rounded = 26ft

Answer:

26 ft height

Step-by-step explanation:

The distance between the streetlamp and the tip of his shadow is 9 + 13 = 22 ft.

A rectangle triangle is formed in which one side is 22 ft long and the other side is the streetlamp height. The angle between the 22 ft side and the hypotenuse is 50°. From tangent definition:

tan(50°) = (streetlamp height)/(22 ft)

tan(50°) * (22 ft) = streetlamp height

26 ft  = streetlamp height

Ratio between 16 hours
and 2 days​

Answers

Answer: 1:3

Step-by-step explanation:

2 Days = 48 hours

16 : 48 hours

1:3

Answer:

1:3

Step-by-step explanation:

16 hours:2 days

2 days = 48 hours

16:48

48/16=3

1:3

The problem is in the picture.

Answers

Answer:

  • an = 5 + 10(n -1)
  • a7 = 65

Step-by-step explanation:

The explicit formula for the n-th term of an arithmetic sequence is ...

  an = a1 + d(n -1)

where a1 is the first term and d is the common difference.

The sequence of seat counts has a1=5 and d=10, so the explicit formula is ...

  an = 5 +10(n -1)

___

The 7th term is ...

  a7 = 5 +10(7 -1) = 65

Which one of the following statements contains a simile?A. The maple wears a gayer scarf.
B. The soaring bird quickly disappeared from our sight.
C. The woods went up in flame.
D. I think that I shall never see a poem lovely as a tree.

Answers

the statement that contain simile is : D. i think that i shall never see a poem lovely as a treeSimile is a writing technique which compares a thing with another thing from a different kind.In sentence D, the writer compare a 'poem' which is a form of artwork, with a 'tree' which is a form of living organism

Answer:

D. I think that I shall never see a poem lovely as a tree.

Step-by-step explanation:

A simile is an explicit comparison of people or things with the help of special comparison words (like, as, resembles, than).

As we see, only the last statement contains this special word (as), so D would be the correct choice.

If you can please help me with this question~ the question is the image :)

Answers

Answer:

B

Step-by-step explanation:

Start by using the distance formula to find the raidus

The two points are (-2,1) and (-4,1)

√((-4+2)²+(1-1)²)= 2

The radius is two and we have our center which means we can write

(x+2)²+(y-1)²=4

now it's just a matter of expanding everyhting

x²+4x+4+y²-2y-3=0

x²+y²+4x-2y+1=0

This is equal to B
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