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monitta
3 years ago
14

-2(k+3)<-2k-7 inequality

Mathematics
2 answers:
saul85 [17]3 years ago
7 0

Is this a question? Or it is

uysha [10]3 years ago
4 0
-2k - 6 < -2k - 7

no solution
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What's the difference between R300 and -R300 on a bank statement?​
bogdanovich [222]

Answer:

R300 is positive number but -R300 is negative so, on a bank statement R300is thousand times larger than -R300

3 0
2 years ago
Write the series using summation notation.<br><br> 4 + 8 + 12 + 16 + 20+ . . . + 80
zhannawk [14.2K]

Answer:

\sum ^{20} _{n \to \11} 4n

Step-by-step explanation:

In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;

4, 8, 12, 16, 20...80

The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d

a is the first term = 4

d is the common difference = 21-8 = 8-4 = 4

n is the number of terms

On substituting, Tn = 4+(n-1)4

Tn = 4+4n-4

Tn = 4n

The nth term of the series is 4n.

Since the last term is 80, L = 4n

80 = 4n

n = 80/4

n = 20

This shows that the total number of terms in the sequence is 20

According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80 , we are to take the sum of the first 20terms of the sequence. Using summation notation;

4 + 8 + 12 + 16 + 20+ . . . + 80  = \sum ^{20} _{n \to \11} 4n

4 0
3 years ago
Solve for n 36=13n-4n​
Lana71 [14]

Answer:

n = 4

Step-by-step explanation:

36 = 13n - 4n

<=> 36 = (13-4).n

<=> 36 = 9n

<=> n = 36 / 9

<=> n = 4

8 0
3 years ago
Read 2 more answers
Identify the exact value of 157.5°
steposvetlana [31]
<span>exact value of sin 157.5 without using a calculator
sin(157.5)=sin(315/2)
Identity: sin(x/2)=±√[(1-cosx)/2]
select positive identity since 175 is in the 2nd quadrant where sin>0
sin(315/2)=√[(1-cos315)/2]

cos 315=cos45 in quadrant IV=√2/2
sin(315/2)=√[(1-√2/2)/2]=√[(2-√2)/4]=√(2-√2)/2
sin(157.5)=√(2-√2)/2
check using calculator:
sin157.5º≈0.382...
√(2-√2)/2≈0.382...</span>
8 0
3 years ago
Four points are always coplanar if: Check all that apply. A. they lie in the same plane. B. three of them are coplanar. C. all o
drek231 [11]
<h2>Answer:</h2>

Four points are always coplanar if:

A. They lie in the same plane.

C. all of them are collinear.

<h2>Step-by-step explanation:</h2>

<u>Coplanar--</u>

The points are said to be coplanar if all of them lie in the same plane.

<u>Collinear-</u>

The points are said to be collinear if all of them lie on a straight line.

Also as we know that a line always lie in one plane and so all the points that lie on that line will also lie in the same plane.

Hence, we may say that Four points will be coplanar if all of them are collinear.

      Hence, the correct options are:

         Option: A and Option: C

6 0
3 years ago
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