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3 years ago

I need it in (Expand and factor linear equations)

Mathematics

1 answer:

djyliett [7]3 years ago

7 0

Answer:

Step-by-step explanation:

1. 3(x+4)=3x+12

2. 2(5x-9)=10x-18

3. -2(6x-1)=-12x+2

4. 3(-x+y+3)=-3x+3y+9

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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

4 0

3 years ago

Read 2 more answers

Pls help! I'm confused. Can you explain this if you can.

alexdok [17]

Answer:

From a table, for an ordered pair (0, y), y will not be zero. From a graph, the y-intercept will not be zero. From an equation, it will have the form, y = mx + b where b is ≠ 0.

Step-by-step explanation:

From a table, for an ordered pair (0, y), y will not be zero. If there is not a constant rate of change in the data displayed in a table, then the table represents a nonlinear nonproportional relationship.
From a graph, the y-intercept will not be zero. This means that it doesn't contain or go through the origin.
From an equation, it will have the form, y = mx + b where b is ≠ 0. (not equal to zero). If an equation is not a linear equation, it represents a nonproportional relationship. A linear equation of the form y = mx + b may represent either a proportional (b = 0) or nonproportional (b ≠ 0) relationship. Therefore, when b ≠ 0, the relationship between x and y is nonproportional.

7 0

3 years ago

Yo what’s 11/4 subtracting by 6 and 1/2

Kruka [31]

-3 3/4
Decimal form: -3.75

3 0

3 years ago

If DM=35, what is the value of r ?

balu736 [363]

Answer:

r=12.5 units

Step-by-step explanation:

Well assuming that DM means diameter of a circle, then r should be the radius of the circle.

Diameter of a circle is twice the radius of the circle, hence with the value of Diameter, you should half it to get the value of radius.

Given diameter =25

Radius will be= 25/2 = 12.5 units

7 0

3 years ago

Please help me, I need help so bad. make sure to write the full calculation please. If you want bonus points please answer the s

cluponka [151]

Answer:

1. About 9 left. 2. £21 left

Step-by-step explanation:

First, you do 65 ÷ 3 = 21.7 if rounding to the tenths, 21.67 if to the hundredths, and so on. Then you do 21.67 - 12 = 9.67. But since it is cards, I would say about 9 left.

First you add the £20 to the £70 to get £90. then you multiply 7×3 to get £21 spent on books. After that, multiply 12×4 to get £48 spent on games. then do 48 + 21 = 69. 90-69= 21.

Here is the equation....

(70+20)-[(7×3)+(12×4)] = £21

6 0

3 years ago