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3 years ago

1. Simplify

1 answer:

4 0

Answer is C

2(x-5) -3(4x+4)

Multiply (x-5) by the 2
This makes it (2x-10) -3(4x+4)
Then do the same with the -3
This makes it 2x-10-12x-12
Simplify to make it -10x-22

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It is known that the graph of the function y= x goes through the point A(4, −.5). Find k and plot its graph.

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I will need to see a picture. I feel like I’m missing information.

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4 years ago

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

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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.

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3 years ago

Javier and his study group designed a word problem, equation, table, and graph that were all supposed to represent the same info

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3 years ago

What is the unit rate of 320 to 16

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Answer:

Step-by-step explanation:

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4 years ago

Bob's age is 4 times greater than Susanne's age. Dakota is three years younger than Susanne. The sum of Bob's, Susanne's, and Da

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<span>Susanne is 16 years old.</span>

b = Bob's age

s = Susanne's age

d = Dakota's age

Bob's age is 4 times greater than Susanne's age:

b = 4s

Dakota is three years younger than Susanne:

d = s - 3

The sum of Bob's, Susanne's, and Dakota's ages is 93:

b + s + d = 93

solve these equations:

b = 4s

d = s - 3

b + s + d = 93

and get:

b = 64 years

s = 16 years

(remember that s = Susanne)

d = 13 years

6 0

3 years ago