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Archy [21]
3 years ago
8

Select all the equations where x = 3 is a solution.

Mathematics
1 answer:
34kurt3 years ago
7 0

Answer:

Step-by-step explanation:

X +4=

8x=32

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Problem PageQuestion The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate paramet
asambeis [7]

Answer:

<em>t = 1.51</em>

Step-by-step explanation:

<u>Exponential Model</u>

The exponential model is often used to simulate the behavior of a magnitude that either grow or decay in proportion to the existing amount of that magnitude.

The model can be expressed as

M=M_oe^{kt}

In this case, Mo is the initial mass of the radioactive substance and k is a constant which value is positive if the mass is growing or negative if the mass is decaying.

The value of k is not precisely given in the question, we are assuming k=-0.2

The model is now

M=M_oe^{-0.2t}

We are required to compute the time it takes the mass to reach one-half of its initial value:

\displaystyle \frac{M_o}{2}=M_oe^{-0.2t}

Simplifying

\displaystyle \frac{1}{2}=e^{-0.2t}

Taking logarithms

\displaystyle ln\frac{1}{2}=ln(e^{-0.2t})=-0.2t

Solving for t

\displaystyle t=-\frac{ln\frac{1}{2}}{0.2}=1.51

6 0
3 years ago
Which number has a repeating decimal form?
blondinia [14]

Answer:

<em>D.</em><em> </em><em>\frac{2}{6}</em>

Step-by-step explanation:

<em>2</em><em>÷</em><em> </em><em>6</em><em> </em><em>=</em><em> </em><em>0</em><em>.</em><em>3</em><em>3</em><em>3</em><em>3</em><em>3</em>

<em>As </em><em>you </em><em>can</em><em> </em><em>see</em><em> </em><em>3</em><em> </em><em>is </em><em>repeating</em><em>.</em>

<em>Therefore</em><em> </em><em> </em><em>\frac{2}{6}</em><em> </em><em>as </em><em>repeating</em><em> </em><em>decimal</em><em> </em><em>form</em><em>.</em>

3 0
2 years ago
Find the equation of all tangent lines having slope of -1 that are tangent to the curve y=(9)/(x+1)
fredd [130]

Answer:

f(x)=\frac9{x+1}\\ f'(x)=-\frac9{(x+1)^2}\\ f'(x)=-1\ \iff\ -\frac9{(x+1)^2}=-1\ \to \ \frac9{(x+1)^2}=1\ \to \ (x+1)^2=9\\ |x+1|=3\ \to \ x+1=3\ \vee\ x+1=-3\\ x_1=2\ \vee\ x_2=-4\\ f(x_1)=f(2)=\frac9{2+1}=3\\ f(x_2)=f(-4)=\frac9{-4+1}=-3

First tangent line:

y=f'(x_1)\cdot (x-x_1)+f(x_1)\ \to \ y=-1(x-2)+3\ \to \ y=-x+5

Second tangent line:

y=f'(x_2)\cdot (x-x_2)+f(x_2)\ \to \ y=-1(x+4)-3\ \to \ y=-x-7


Notice: slope of -1 means that both f'(x_1), \ f'(x_2) are equal to -1, so f'(x_1)=-1 \ and \ f'(x_2)=-1


6 0
2 years ago
Read 2 more answers
Which expression is equivalent to -4/7 - 8/9 + 4/7 - 9/8
olya-2409 [2.1K]

Answer:

<em>I misunderstood the question before, but here are two expressions equivalent to -4/7 - 8/9 + 4/7 - 9/8. </em>

71/72 + 70/72 +4/72

-1/7 - 3/7 - 5/9 - 3/9 + 2/7 +2/7 - 4/8 - 5/8

<em>Solved: -2 1/72</em>

Step-by-step explanation:

I could simply take the answer you get when combining all of the fractions, and I can make a new expression out of it. For example, I could use: 71/72+ 70/72+4/72. Or I could break apart all of the original fractions into smaller fractions. Example: -1/7 - 3/7 - 5/9 - 3/9 + 2/7 +2/7 - 4/8 - 5/8.

<em>To solve: Start by combining -4/7 and 4/7 to make 0, shortening your equation. Then continue by making the fractions remaining, 8/9 and -9/8, have a common denominator. To do this, we multiply -8/9 by 8, and -9/8 by 9. Then, we have -64/72 and -81/72. Then, we can combine the numerators of the fractions, as they have common denominators, and we get the fraction -145/72. We can then simplify this to -2 1/72.</em>

<em>Hope this helps!</em>

5 0
2 years ago
Hey! i’ll give brainliest please help.
Naya [18.7K]

Answer:

shah

:) hope this helps!

5 0
2 years ago
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