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2 years ago

What is the simplified expression of 5(3m+7) - 4?

Mathematics

2 answers:

Misha Larkins [42]2 years ago

5 0

Answer:

15m +31

Step-by-step explanation:

5(3m+7) - 4 = 15m + 35 - 4 = 15m +31

Mademuasel [1]2 years ago

4 0

15m+31
use distributive property to get 5x3m= 15m and 5x7=35. Now the equation is 15m+35-4. Your final answer is 15m+31! :)

You might be interested in

Find a power series representation for the function x(1+x)/(1-x)^2

Serga [27]

This is a fun problem to solve!

First we find the series representation of the basic, 1/(1-x).
If you already know the answer, it is 1+x+x^2+x^3+x^4...., easy to remember.
If not, we can use the binomial expansion:
1/(1-x) = (1-x)^(-1) = 1+((-1)/1!)(-x)+(-1)(-2)/2!(-x)^2+(-1)(-2)(-3)/3!(-x)^3+...
which gives 1+x+x^2+x^3+x^4+...

Then 1/(1-x)^2 is just (1/(1-x))^2, or
(1+x+x^2+x^3+x^4+...)^2=
x+x^2+x^3+x^4+x^5+x^6+...
x^2+x^3+x^4+x^5+x^6+...
+x^3+x^4+x^5+x^6+...
+x^4+x^5+x^6+...
+x^5+x^6+...
....
....)
=1+2x+3x^2+4x^3+5x^4+6x^5+....

Similarly,
(1+x)/(1-x)^2 can be considered as
=1/(1+x)^2+x(1+x)^2
=1+2x+3x^2+4x^3+5x^4+6x^5+....
+x+2x^2+3x^3+4x^4+5x^5+...
=1+3x+5x^2+7x^3+9x^4+11x^5+...

Finally,
x(1+x)/(1-x)^2 can be considered as
=x*(1+x)/(1-x)^2
=x*(1+3x+5x^2+7x^3+9x^4+11x^5+...)
=x+3x^2+5x^3+7x^4+9x^5+11x^6+....+(2i-1)x^i+...

Therefore
x(1+x)/(1-x)^2 = x+3x^2+5x^3+7x^4+9x^5+11x^6+...+(2i-1)x^i+... ad infinitum

3 0

3 years ago

Complex numbers are used in electronics to describe the current in an electric circuit. Ohm's law relates the current in a circu

nekit [7.7K]

Answer:

E = (28 + 66i) Volts

Step-by-step explanation:

Note that: i = √-1 ; i² = -1

Ohm's law: E = IR

E = (16+ i) (2 + 4i)

Expand the equation.

E = 16x2 + 16x4i + ix2 + ix4i

E = 32 + 64i + 2i + 4i²

E = 32 + 64i + 2i + 4(-1)

E = 32 + 64i + 2i - 4

Collect like terms:

E = 32 -4 + 64i + 2i

E = (28 + 66i) Volts

6 0

2 years ago

If 2000 dollars is invested in a bank account at an interest rate of 6 percent per year, find the amount in the bank after 7 yea

AfilCa [17]

Answer:

$3007.26

Step-by-step explanation:

Step one:

given data

Principal= $2000

rate= 6%= 0.06

time= 7years

Required:

The final amount A

Step two:

the expression for the compound interest is

$A= P(1+r)^t$

substituting we have

$A= 2000(1+0.06)^7\\\\A= 2000(1.06)^7\\\\A=2000*1.50363\\\\A=3007.26$

6 0

2 years ago

Hello can someone help me please

Nadusha1986 [10]

Add the three different amounts she gets to find the total:

450 + 300 + 500 = 1250 mg total.

1250 is greater than 1200, so yes, she is getting enough.

8 0

3 years ago

Read 2 more answers

In a statistics class, the standard deviation of the heights of all students was 3.8 inches. The standard deviation of the heig

goblinko [34]

Answer:

The reason why standard deviation of the entire class is greater than standard deviation of males and females considered separately, is that mean values for males and females are different from each other.

Step-by-step explanation:

The concept of mean is well represented by the following formula

mean = $\frac{(x1 + x2 + x3 + ..... + xn)}{N}$ , where x1, x2, xn are the observations and N is the number of observations (population).

Standard deviation represents the distance between each observation and the mean of the population (all observations). The formula for this parameter is:

Standard deviation =√[((x1 - x)² + (x2-x)² + ....+ (xn-x)²)/N-1], where x1, x2,..., xn are the observations and x is the mean value.

In this case you have that each height registered is an observation and the number of observations represents the N value. As you can see if the mean for males is different from that of females their standard deviation will be different too. Usually males have heigths greater than that of females (1.77 vs 1.64, in USA for example), and heights inside each group will be more similar than between groups. Then, when you mix all observation there will be an increase in standard deviation, because you are mixing very different heigths

4 0

3 years ago