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2 years ago

Suppose that an individual has a body fat percentage of 19.5% and weighs 184

Mathematics

2 answers:

-Dominant- [34]2 years ago

5 0

Multiply to find percentage of a number.

184 x 0.195 = 35.88 pounds or 35.9 pounds of fat.

jok3333 [9.3K]2 years ago

4 0

This is 28.9 glad to help

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A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in day

-BARSIC- [3]

Answer:

The substance half-life is of 4.98 days.

Step-by-step explanation:

Equation for an amount of a decaying substance:

The equation for the amount of a substance that decay exponentially has the following format:

$A(t) = A(0)e^{-kt}$

In which k is the decay rate, as a decimal.

k-value of 0.1392.

This means that:

$A(t) = A(0)e^{-0.1392t}$

Find the substance's half life, in days.

This is t for which $A(t) = 0.5A(0)$ . So

$A(t) = A(0)e^{-0.1392t}$

$0.5A(0) = A(0)e^{-0.1392t}$

$e^{-0.1392t} = 0.5$

$\ln{e^{-0.1392t}} = \ln{0.5}$

$-0.1392t = \ln{0.5}$

$t = -\frac{\ln{0.5}}{0.1392}$

$t = 4.98$

The substance half-life is of 4.98 days.

5 0

2 years ago

The graph of the equation y= ax^2 , where a is > O , is shown below, If a is multiplied by 1/2 , the graph of the new equatio

GenaCL600 [577]

Answer:

wider and opens downward

Step-by-step explanation:

5 0

2 years ago

A population of bacteria is growing according to the exponential model P = 100e.70t, where P is the number of colonies and t is

Reika [66]

T=(log(300÷100)÷log(e))÷0.7
T=1.6

6 0

3 years ago

Read 2 more answers

A trimaran boat, with a top speed of 55 knots, won the tournament cup in 2010. Its top speed is 6 knots more than 3.5 times the

slavikrds [6]

Answer:

14 knots

Step-by-step explanation:

We know the speed (55 knots) is 6 more than 3.5 times the winner of the monohull in the 2007 tournament.

So let's set the variable for the speed of the monohull to <em>m</em>. Now, let's set up an equation:

$55 = 6 + (3.5 * m)$

We can solve this by first subtracting 6 from both sides to get:

$49 = 3.5 * m$

Dividing both sides by 3.5 we get:

$14 = m$

That means that the top speed of the monohull in the 2007 tournament was 14 knots

4 0

2 years ago

Three friends: Lana, Omar, and George shared 22 JDs in the ratio

Mice21 [21]

Answer:

x=5

Step-by-step explanation:

2:x:4

Lana Omar and George

Omar's share is 10 JD

22-10 is 12

2x+4x=12

6x=12

x=2

So put the ratio to

4:2x:8

x=5

x is 5.

Hope this helps Merry Christmas!

7 0

2 years ago