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3 years ago

What is the initial value of the equation shown? y = −7x − 6

2 answers:

3 0

3) -6 is the correct answer because it's the initial value because that where it started. and increased by -7 as the slope

muminat3 years ago

3 0

The answer is 3) -6…

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What is 2/5+5/3+9/3=

yuradex [85]

The answer is 76/15. The answer can also be written as 5 1/15 or 5.06

7 0

3 years ago

2.The number of grams A of a certain radioactive substance present at time, in yearsfrom the present, t is given by the formulaA

professor190 [17]

Answer:

Given that,

The number of grams A of a certain radioactive substance present at time, in years

from the present, t is given by the formula

$A=45e^{-0.0045(t)}$

a) To find the initial amount of this substance

At t=0, we get

$A=45e^{-0.0045(0)}$ $A=45e^0$

We know that e^0=1 ( anything to the power zero is 1)

we get,

$A=45$

The initial amount of the substance is 45 grams

b)To find thehalf-life of this substance

To find t when the substance becames half the amount.

A=45/2

Substitute this we get,

$\frac{45}{2}=45e^{-0.0045(t)}$

$\frac{1}{2}=e^{-0.0045(t)}$

Taking natural logarithm on both sides we get,

$\ln (\frac{1}{2})=-0.0045(t)^{}$ $(-1)\ln (\frac{1}{2})=0.0045(t)$ $\ln (\frac{1}{2})^{-1}=0.0045(t)$ $\ln (2)=0.0045(t)$ $0.6931=0.0045(t)$ $t=\frac{0.6931}{0.0045}$ $t=154.02$

Half-life of this substance is 154.02

c) To find the amount of substance will be present around in 2500 years

Put t=2500

we get,

$A=45e^{-0.0045(2500)}$ $A=45e^{-11.25}$ $A=45\times0.000013=0.000585$ $A=0.000585$

The amount of substance will be present around in 2500 years is 0.000585 grams

4 0

7 months ago

Solve the system of equations using substitution. Show your work<br> y=2x + 3<br> y=3x + 1

FrozenT [24]

Answer:

x=2 and y=7

Step-by-step explanation:

Step: Solvey=2x+3for y:

y=2x+3

Step: Substitute2x+3foryiny=3x+1:

y=3x+1

2x+3=3x+1

2x+3+−3x=3x+1+−3x(Add -3x to both sides)

−x+3=1

−x+3+−3=1+−3(Add -3 to both sides)

−x=−2

−x

−1

−2

−1

(Divide both sides by -1)

x=2

Step: Substitute2forxiny=2x+3:

y=2x+3

y=(2)(2)+3

y=7(Simplify both sides of the equation)

3 0

3 years ago

There are 12 pieces of fruit in a bowl.Five are lemons and the rest are limes.You choose a piece of fruit without looking. The p

Zielflug [23.3K]

7 is the correct answer

5 0

3 years ago

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Help plz

Ganezh [65]

Answer:

1 pound?

Step-by-step explanation:

4/4 = 1 * 1 = 1

8 0

3 years ago

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