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bekas [8.4K]
3 years ago
14

The distributive law requires

Mathematics
1 answer:
katovenus [111]3 years ago
6 0

Answer:

The Distributive Law says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately.

Step-by-step explanation:

Example:  "3" can be "distributed" across the "2+4" into 3 times 2 and 3 times 4.

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What is the value of x?
ryzh [129]

Answer:

Step-by-step explanation:

The top triangle is similar to the whole triangle because of AAA

Then we know that the corresponding sides are similar

9/81=(3x-20)/(3x-20+56)

1/9=(3x-20)/(3x+36)

cross multiply

9(3x-20)=3x+36

27x-180=3x+36

24x=216

x=9

8 0
3 years ago
Select the correct answer. What is the solution to this equation?
S_A_V [24]

Answer

C. x=2

Step-by-step explanation:

This is due to 2(2) = 4

then 3^4=81

81*4=324

8 0
3 years ago
A youth group has a yard sale to raise money for a charity. The group earns $800 but decides to put its money in the
VladimirAG [237]

Answer:

The amount of money you will receive is $927.419

Step-by-step explanation:

Consider the provided information.

A youth group has a yard sale to raise money for a charity. The group earns $800 but decides to put its money in the  bank for a while.

We need to calculate the amount of money if hot bank pays an interest rate of 3% compounded annually, and the youth group leaves the money in for 5  years.

Future value can be calculated as:

FV=PV(1+r)^n

Substitute PV=800, r=0.03 and n=5 in above equation.

800(1+0.03)^5

800(1.03)^5=927.419

Hence, the amount of money you will receive is $927.419

4 0
3 years ago
What is the relationship between the changes in the radii and the volume?
avanturin [10]

Answer:

The relationship between the volume of a cylinder and its radius. To see that as the radius changes, the volume changes in proportion. Be able to comfortably use the volume of a cylinder formula. π is a constant and height, h, is a constant in this task.


5 0
3 years ago
A biologist observed a population of bacteria that grew at a rate expressed by the exponential equation
bearhunter [10]

Answer:

<em>It will take 26.34 minutes for the population to reach 5 times its initial value</em>

Step-by-step explanation:

<u>Exponential Growing</u>

The population of bacteria grows at a rate expressed by the equation:

f(t)=256e^{0.06111t}

Where t is in minutes.

We need to know when the population will reach 5 times its initial value. The initial value can be determined by setting t=0:

f(0)=256e^{0.06111\cdot 0}=256\cdot 1=256

Now we find the time when the population is 5*256=1,280. The equation to solve is:

1,280=256e^{0.06111t}

Dividing by 256:

e^{0.06111t}=1,280/256=5

Taking natural logarithms:

ln\left(e^{0.06111t}\right)=ln5

Applying the logarithm properties:

0.06111t=ln5

Solving for t:

t=ln5/0.06111=26.34

It will take 26.34 minutes for the population to reach 5 times its initial value

6 0
4 years ago
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