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3 years ago

Which property does each equation demonstrate

Mathematics

1 answer:

sveticcg [70]3 years ago

7 0

Answer:

Step-by-step explanation:

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What is -3(-6+8)^3-2(1-3)^3

marin [14]

Assignment: $\bold{Solve \ Equation: \ -3\left(-6+8\right)^3-2\left(1-3\right)^3}$

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Answer: $\boxed{\bold{-8}}$

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Explanation: $\downarrow\downarrow\downarrow$

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[ Step One ] Follow PEMDAS Order Of Operations; Calculate Within Parenthesis

Note: $\bold{PEMDAS: \ Parenthesis, \ Exponents, \ Multiply, \ Divide, \ Add, \ Subtract}$

$\bold{-6+8: \ 2}$

[ Step Two ] Rewrite Equation

$\bold{-3\cdot \:2^3-2\left(1-3\right)^3}$

[ Step Three ] Calculate Within Parenthesis

$\bold{1-3: \ -2}$

[ Step Four ] Rewrite Equation

$\bold{-3\cdot \:2^3-2\left(-2\right)^3}$

[ Step Five ] Calculate Exponents

$\bold{2^3: \ 8}$

[ Step Six ] Rewrite Equation

$\bold{-3\cdot \:8-2\left(-8\right)}$

[ Step Seven ] Multiply

$\bold{2\left(-8\right): \ -16}$

[ Step Eight ] Rewrite Equation

$\bold{-24-\left(-16\right)}$

[ Step Nine ] Subtract

$\bold{-24-\left(-16\right): \ -8}$

[ Step Ten ] Rewrite Equation

$\bold{-8}$

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$\bold{\rightarrow Mordancy \leftarrow}$

8 0

3 years ago

Which of the following is the equation of a circle with a radius of 10 cm and center at (–3, 6)?

Volgvan

The equation of the circle:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have:

$r=10\\(-3,\ 6)\to h=-3,\ k=6$

Substitute:

$(x-(-3))^2+(y-6)^2=10^2\\\\(x+3)^2+(y-6)^2=100$

4 0

3 years ago

A sample of bacteria is decaying according to a half-life model. If the sample begins with 800 bacteria, and after 13 minutes th

nikklg [1K]

Answer:

56.42 minutes

Step-by-step explanation:

The initial sample= y0 = 800

After 13 minutes , amount = 320

Y= y0e-kt

320 = 800e-k(13)

320/800 = e-k13

0.4 = e-k13

In0.4 = -k13

-0.91629= -k13

0.07048= k

Y = 800e-0.07048t

Minutes when the bacterial present will be 15

15 = 800e-0.07048t

15/800= e-0.07048t

0.01875 = e-0.07048t

In 0.01875 = -0.07048t

-3.97656 = -0.07048t

-3.97656/-0.07048= t

56.42 = t

56.42 minutes

3 0

3 years ago

D=a+b+c solve for b<br> I need some help

Hoochie [10]

Hi Walker

d=a+b+c

Flip

a+b+c=d

Add -a to both sides

a+b+c-a=d-a

b+c=-a+d

Now add -c to both sides

b+c-c=-a+d-c

b= -a-c+d

I hope that's help:0

4 0

2 years ago

ILL GIVE BRAINLIEST ON THIS QUESTION!!!!!!!!!!!!!!!!!!!!!!!!!!!

DochEvi [55]

Answer:

15.25 or 15 if you need it to be rounded.

Step-by-step explanation:

-11 on both sides to get 5x=1x+61. Then, -1x on both sides to get 4x=61. Then to find x you do 61 divided by 4 which is 15.25.

8 0

2 years ago