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3 years ago

Solve for x. x2 + 8x + 15 = 0

Mathematics

1 answer:

likoan [24]3 years ago

7 0

Answer: x=−3 or x=−5

Step-by-step explanation:

Step 1: Factor left side of equation.

(x+3)(x+5)=0

Step 2: Set factors equal to 0.

x+3=0 or x+5=0

x=−3 or x=−5

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3 years ago

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Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am

zheka24 [161]

SOLUTION

We have been given the equation of the decay as

$\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}$

So we are looking for the time

Plugging the values into the equation, we have

$\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}$

Taking Ln of both sides, we have

$\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}$

Hence the answer is 4308 to the nearest year

8 0

11 months ago

A, B and C are collinear points. B is between A and C. AB=12 BC=18 AC=3x Find X.

SCORPION-xisa [38]

Answer:

$x =10$

Step-by-step explanation:

Given

$AB = 12$

$BC = 18$

$AC = 3x$

Required

Solve for x

Since B is in between both points, then:

$AC = AB + BC$

This gives

$3x = 12 + 18$

$3x = 30$

Divide by 3

$x =10$

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3 years ago

the unit digitsof a two numberis 1 less than twice the ten digit. if the sum of tje digits is 9, find the number.

Amiraneli [1.4K]

Are you sure this is written correctly? Any number whose digits add to 9 is divisible by 9. For a 2 digit number then, your choices are
18, 27, 36, 45, 54, 63, 72, and 81. None of these has the property that for the 2 digit number AB that B=2A-1. Solving your question algebraically is possible but you get fractional digits.

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3 years ago

13/17% of a quantity is equal to what fraction of the quality

Nookie1986 [14]

Answer:

13/1700

Step-by-step explanation:

so you do 13/17 x 1/100 which is 13/1700 please mark brainliest

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3 years ago

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