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Anestetic [448]
2 years ago
9

Solve 2 s^3 − 4r^ 2 if r = 1 and s = 5 . step by step

Mathematics
1 answer:
Ulleksa [173]2 years ago
3 0

Answer:

246

Step-by-step explanation:

2(5)^3 - 4(1)^2

250 - 4

246

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2. Find the 20th term of an arithmetic sequence if its 6th term is 14 and 14th term is 6.
Fudgin [204]

Answer:

\sf t_{20}= 0

Step-by-step explanation:

<h3>Arithmetic sequence:</h3>

      \sf \boxed{\bf n^{th} \ term = a + (n-1)d}\\\\\text{Here, a is the first term ; d is the common difference }

6th term is 14 ⇒ \sf t_6 = 14

                a + (6 - 1)d = 14

                    a  +  5d = 14  --------------(I)

14th term is 6 ⇒\sf t_{14} = 6

             a + (14-1)d = 6

                  a + 13d = 6 ----------------(II)

Subtract equation (II) from equation(I)

        (I)          a + 5d = 14

        (II)         a + 13d = 6

                    <u>-    -          -</u>

                            -8d = 8

                               d  = 8 ÷(-8)      

                              \sf \boxed{\bf d= (-1)}

Plugin d = -1 in equation (I)

a + 5(-1) = 14

      a -5  = 14

             a = 14 + 5

             \sf \boxed{\bf a = 19}  

20th term:

 \sf t_{20}= 19 + 19*(-1)

       = 19 - 19

   \sf \boxed{\bf t_{20} = 0}

8 0
1 year ago
Read 2 more answers
Find the sum of the even integers from 20 to 50.<br><br><br>with solutions please help​
alina1380 [7]

Answer: 560

Step-by-step explanation:

There are [20, 22, 24, 26, 28]: 5 even integers for each ten numbers.

The 20's set can be written as 5*20 + (2+4 + 6 + 8) = 5*20 + (20) = 120

The 30's can be written: 5*30 + 20 = 170

40's: 5*40+20 = 220

50's: 5*50+20 = 270

60's: 5*60+20 = 320

Each set is incremented by 50

We want the sets for 20, 30, and 40, plus the number 50.

(120+170+220+50) = 560

You can also do this in Excel (attached). Set the first cell to 20, the next cell below equal to the cell above plus 2. Then draw the second cell down until you've reached 50. Then sum the cells to arrive at 560.

7 0
2 years ago
2y-____=0;y=0 HELPPPPPPP
AVprozaik [17]

Answer:

<em>D.)  0</em>

Step-by-step explanation:

Its not A.  cause 2y−2=0  is y = 1

Its not B. cause 2y−1=0  is y = 1/2

Its not C. cause 2y−3=0  is y = 3/2

Soo... The only option left is D.

It IS D. cause 2y − 0 = 0  is y=0

<em>So you are Correct!!!</em>

<em>hope I helped... <3</em>

<em>Good luck dear :)</em>

4 0
3 years ago
Which of the following illustrates the truth value of the given conditional statement?
AleksandrR [38]

Answer:

it looks like its c

Step-by-step explanation:

sorry if im wrong

5 0
3 years ago
How do I subtract 4m^2 + 2mn + 8n^2 from 2m^2 + 6mn + 2n^2 ?
SVETLANKA909090 [29]
-2m^2+4mn-6n^2

1) Let's write out both expressions subtracting 4m²+2mn+8n² from 2m²+6mn+2n²

\begin{gathered} 2m^{2}+6mn+2n^{2}-(4m^{2}+2mn+8n^2)_{} \\ 2m^2+6mn+2n^2-4m^2-2mn-8n^2 \\ -2m^2+4mn-6n^2 \end{gathered}

2) Note that when we subtract 4m^2 + 2mn + 8n^2 from 2m^2 + 6mn + 2n^2 we need to swap the sign by placing -1 outside the parentheses and then combine like terms adding those terms algebraically.

4 0
1 year ago
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