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trasher [3.6K]
4 years ago
10

How many terms does the following linear expression have?

Mathematics
1 answer:
sertanlavr [38]4 years ago
3 0

Answer:

4 terms.

Step-by-step explanation:

x^2 has 2 terms/

3x is one term.

1/5x is one term.

Basically the number of x's.

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Find the sum of series 4/(4n-3) (4n+1)
ANTONII [103]
\dfrac4{(4n-3)(4n+1)}=\dfrac1{4n-3}-\dfrac1{4n-1}

Assuming the sum starts at n=1, the Nth partial sum is

\displaystyle\sum_{n=1}^N\left(\frac1{4n-3}-\frac1{4n-1}\right)=\left(1-\frac15\right)+\left(\frac15-\frac19\right)+\cdots+\left(\frac1{4N-7}-\frac1{4N-3}\right)+\left(\frac1{4N-3}-\frac1{4N+1}\right)
\displaystyle\sum_{n=1}^N\left(\frac1{4n-3}-\frac1{4n-1}\right)=1-\frac1{4N-1}

As N\to\infty, you're left with simply 1.
8 0
3 years ago
Find the volume of the cube. *<br> Answer choices: 30 1/2, 33 3/4, 31 1/4, 32 1/3
steposvetlana [31]

Answer:

volume = wide x length x deep

            = 3{1/3} ft x 2{1/2} ft x 3{3/4}ft

             = 10/3ft  x 5/2ft    x 15/4ft

             = (10 x 5 x 15)/(3 x 2 x 4) ft^3

              = 125/4 ft^3

               = 31{1/4} ft^3

Step-by-step explanation:

5 0
3 years ago
Who failed to support civil rights for freed slaves? (wrong category by mistake, not mathematics)
dangina [55]

Answer:

The Supreme Court.

Step-by-step explanation:

After the end of the Civil War and the enactment of the Thirteenth Amendment in 1865, slavery was officially abolished in the United States. Thus, the millions of African American slaves that inhabited the southern states of the country won their freedom and equality before the law against whites.

Now this situation began to dismember in 1877, when federal troops left the southern states and Reconstruction officially came to an end. From then on, Democratic governors and legislators began to sanction the Black Codes and Jim Crow Laws, aimed at curtailing the civil and political rights of African-Americans.

This situation was tested before the Supreme Court in 1896 in the case Plessy v. Ferguson. But in the ruling of said case, the Supreme Court established that racial segregation was constitutional and therefore neglected African Americans and their rights.

8 0
4 years ago
Add the following complex numbers:
V125BC [204]

Answer:

B. 7 - 9i

Step-by-step explanation:

1) Remove Parentheses.

2 - 8i + 5 - i

2) Add 2 and 5.

7 - 8i - i

3) Subtract i from -8i.

7 - 9i

6 0
3 years ago
Read 2 more answers
The bear population in RI has been increasing by 8% each year. In the year 2010 there were only 20 bears spotted in RI. Based on
makkiz [27]

Answer:

See below in bold.

Step-by-step explanation:

a.  The factor of growth = 1.08 per year so

P =  20(1.08)^t   where P = the bear population and t = the time in years since 2010.

b.  It is 10 years after 2010 so:

In 2020:  P = 20 * (1.08)^10

= 43 bears.

c. When P = 100 we have:

100 = 20 * (1.08)^t    

(1.08)^t = 100/20 = 5

t ln 1.08 = ln 5

t =  20.9  years.

So there will be more than 100 bears in the year 2010 + 21

= 2031.

7 0
3 years ago
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