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3 years ago

What is the greatest common factor of 60,90, and 120?

1 answer:

4 0

The greatest common factor of 60, 90, and 120 is 30.
60-1, 60 2, 30, 3, 20, 5, 12, 6, 10
90-1, 90, 2, 45, 3, 30, 5, 18, 6, 15, 9, 10
120-1, 120, 2, 60, 3, 40, 4, 30, 5, 24, 6, 20, 8, 15, 10, 12

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Which of the following is a solution of x2 + 2x + 4?

RideAnS [48]

Answer:

option-D

Step-by-step explanation:

we are given

$x^2+2x+4$

Let's assume it is equal to 0

$x^2+2x+4=0$

We can use quadratic formula

Suppose, we are given quadratic equations as

$ax^2+bx+c=0$

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

we can compare and find a,b and c

a=1 , b=2 , c=4

now, we can plug values

and we get

$x=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \:4}}{2\cdot \:1}$

now, we can simplify it

and we get

$x=-1+\sqrt{3}i,\:x=-1-\sqrt{3}i$

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3 years ago

Read 2 more answers

Which quantity is proportional to 90⁄2

hoa [83]

Answer:

Step-by-step explanation:

90/2 is proportional to 45

8 0

4 years ago

An old bone contains 80% of its original carbon-14. Use the half-life model to find the age of the bone. Find an equation equiva

Ira Lisetskai [31]

Answer:

An old bone contains 80% of its original carbon-14 in 1844.6479 years

Step-by-step explanation:

We know that

half life time of C-14 is 5730 years

so, h=5730

now, we can use formula

$P(t)=P_0(\frac{1}{2})^{\frac{t}{h} }$

we can plug back h

and we get

$P(t)=P_0(\frac{1}{2})^{\frac{t}{5730} }$

An old bone contains 80% of its original carbon-14

so,

P(t)=0.80Po

we can plug it and then we solve for t

$0.80P_0=P_0(\frac{1}{2})^{\frac{t}{5730} }$

$0.80=(\frac{1}{2})^{\frac{t}{5730} }$

$\ln \left(0.8\right)=\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{5730}}\right)$

$t=-\frac{5730\ln \left(0.8\right)}{\ln \left(2\right)}$

$t=1844.6479$

So,

An old bone contains 80% of its original carbon-14 in 1844.6479 years

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3 years ago

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Verdich [7]

Answer: a^8-b^8

Step-by-step explanation:

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3 years ago

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What do exponential functions model in the real world? How does the

sineoko [7]

They model various situations where there is an increasing curve. An example is if you throw a baseball and it curves back down as gravity has more and more of a affect on it. This would be a different equation than if you threw a basketball as the basketball wouldn't go as high but would have about the same downwards acceleration due to gravity.

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3 years ago