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egoroff_w [7]
3 years ago
15

Evaluate the expression when c=4 and d=48. d-6c​

Mathematics
1 answer:
Rama09 [41]3 years ago
5 0

Answer:

24

Step-by-step explanation:

since c=4 and d=48, we can re-write this equation

48-6 x 4

48 - 24

24

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Consider the functions f(x)=x−7 and g(x)=4x^3.
maxonik [38]

Answer:

I think A is correct

7 0
3 years ago
9. Determine how long it takes for 80% of the material to decay.
Vilka [71]

Using an exponential function, it is found that it takes 18.6 days for 80% of the material to decay.

The amount of a substance after t days is modeled by:

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

In which:

  • k is the decay rate, as a decimal.
  • A(0) is the initial amount.

The half-life is of 8 days, hence A(8) = 0.5A(0), and this is used to find k.

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

0.5A(0) = A(0)e^{-8k}

e^{-8k} = 0.5

\ln{e^{-8k}} = \ln{0.5}

-8k = \ln{0.5}

k = -\frac{\ln{0.5}}{8}

k = 0.08664339757

Hence:

A(t) = A(0)e^{-0.08664339757t}

The time it takes for 80% of the material to decay it t for which A(t) = 0.2A(0), hence:

0.2A(0) = A(0)e^{-0.08664339757t}

e^{-0.08664339757t} = 0.2

\ln{e^{-0.08664339757t}} = \ln{0.2}

-0.08664339757t = \ln{0.2}

t = -\frac{\ln{0.2}}{0.08664339757}

t = 18.6

It takes 18.6 days for 80% of the material to decay.

To learn more about exponential functions, you can take a look at brainly.com/question/24906920

5 0
2 years ago
I am having trouble solving this question. please give me a detailed and elaborate answer and also please attach the plotted gra
serious [3.7K]

Answer:

$ 2000

Step-by-step explanation:

Find the equation. You find the gradient by using the gradient formula (rise/run)

that would be

1600 - 800 over 40 - 20

800/20

m (gradient) = 40

Hence 40x ...

3 0
3 years ago
Read 2 more answers
Write a verbal expression for each algebrec expression 14-9c
ryzh [129]

Answer:

positive fourteen negative nine c

8 0
3 years ago
Please quick help how do we do this. with an explanation
Soloha48 [4]

Answer:

a = 10x - 9

Step-by-step explanation:

l = x + 9

w = x - 1

a = l (w)

a = x + 9 (x - 1)

a = x + 9x - 9

a = 10x - 9

8 0
2 years ago
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