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valkas [14]
3 years ago
13

The energy released by metabolism of 1 average candy bar is 1 x 10^6 joules.

Mathematics
1 answer:
Elis [28]3 years ago
3 0

Answer: 32

Step-by-step explanation:

Given: The energy needed for 1 hour of running for an adult =4.5\times10^6\ joules.

Therefore. the energy needed for seven hours of running==7\times4.5\times10^6\ joules.=31.5\times10^6\ joules

Since, he energy released by metabolism of 1 average candy bar =1\times10^6\ joules.

Therefore, the number of candy bars an adult need to eat  to supply the energy needed for seven hours of running.=\frac{31.5\times10^6}{1\times10^6}=31.5\approx32

Hence, the adult need to eat 32 candies to supply the energy needed for seven hours of running.

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Forensic specialists can estimate the height of a deceased person from the lengths of the person's bones. These lengths are subs
Lera25 [3.4K]

Answer:

130.2845\leq h\leq 137.7245

Step-by-step explanation:

Given an inequality that relates the height h, in centimeters, of an adult female and the length f, in centimeters, of her femur by the equation

|h - (2.47f + 54.10)| \leq  3.72

If an adult female measures her femur as 32.25 centimeters, we can determine the possible range of her height by plugging f = 32.25cm into the modelled equation as shown:

|h - (2.47(32.25) + 54.10)| \leq  3.72\\|h - (79.9045 + 54.10)| \leq  3.72\\|h - (134.0045)| \leq  3.72\\

If the modulus function is positive then:

h - 134.0045 \leq  3.72\\h \leq 3.71+134.0045\\h\leq 137.7245

If the modulus function is negative then:

-(h - 134.0045) \leq  3.72\\-h+134.0045 \leq 3.72\\-h\leq 3.72-134.0045\\-h\leq -130.2845\\

multiply through by -1

-(-h)\geq  -(-130.2845)\\h\geq 130.2845\\130.2845\leq h

combining the resulting inequalities, the estimate of the possible range of heights will be 130.2845\leq h\leq 137.7245

8 0
3 years ago
Ax + 4y = 5z, for a​
Stolb23 [73]

Answer:A=5z-4y/x

Step-by-step explanation:

You must bring 4y over first making it negative then to separate the x from the A you have to divide

4 0
3 years ago
Read 2 more answers
Suppose the lengths of two sides of a right triangle are represented by 2x and 3 (x + 1), and the longest side is 17 units. Find
densk [106]

Answer:

x=4

Step-by-step explanation:

<u>Step 1</u>:-

given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.

AB = 2x and BC = 3(x+1) and longest side AC= 17

by using Pythagoras theorem

AC^2 = AB^2 + BC^2

<u>step 2:-</u>

The hypotenuse is longest side is AC = 17 units

(17)^2 = 4x^2 +9(X+1)^2

on simplification, we will use formula

(a + b)^2 = a^2 +2ab+b^2

289 = 4x^2 +9(x^2+2x+1)

13x^2 +18x-280 = 0

finding factors  70 X 52 = 3640

13x^2 +70x-52x-280 = 0

13x^2 -52x+ 70x-280 = 0

Taking common , we get

13x(x-4)+70(x-4)=0

x-4=0 and 13x+70=0

x=4 and 13x =-70

x=4 and x=\frac{-70}{13}

we can not choose negative value so x value is 4

Final answer:- x = 4

<u>verification:-</u>

<u></u>AC^2 = AB^2 + BC^2<u></u>

289 = 4(4)^2+9(4+1)^2

289 = 64 +9(25)

289=289

6 0
4 years ago
Read 2 more answers
Hello what is the answer please 5+30÷10=
Brilliant_brown [7]

Answer:

Mizuki is here to help! The answer is 8!

Step-by-step explanation:

5 + 30 ÷ 10 =

5 + 3 =

8

Remember PEMDAS!

8 0
3 years ago
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GIVING BRAINLESS HELP!!
aliina [53]

Jessica bought 2.25 yards more material than Derek.    Hope this helped!

4 0
3 years ago
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