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enot [183]
3 years ago
14

Order the expressions from least value to greatest value.

Mathematics
1 answer:
pashok25 [27]3 years ago
7 0

Answer:

I think the answer is the first one.

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The first two terms in an arithmetic progression are -2 and 5. The last term in the progression is the only number in the progre
Rudik [331]

Given:

The first two terms in an arithmetic progression are -2 and 5.

The last term in the progression is the only number in the progression that is greater than 200.

To find:

The sum of all the terms in the progression.

Solution:

We have,

First term : a=-2

Common difference : d = 5 - (-2)

                                      = 5 + 2

                                      = 7

nth term of an A.P. is

a_n=a+(n-1)d

where, a is first term and d is common difference.

a_n=-2+(n-1)(7)

According to the equation, a_n>200.

-2+(n-1)(7)>200

(n-1)(7)>200+2

(n-1)(7)>202

Divide both sides by 7.

(n-1)>28.857

Add 1 on both sides.

n>29.857

So, least possible integer value is 30. It means, A.P. has 30 term.

Sum of n terms of an A.P. is

S_n=\dfrac{n}{2}[2a+(n-1)d]

Substituting n=30, a=-2 and d=7, we get

S_{30}=\dfrac{30}{2}[2(-2)+(30-1)7]

S_{30}=15[-4+(29)7]

S_{30}=15[-4+203]

S_{30}=15(199)

S_{30}=2985

Therefore, the sum of all the terms in the progression is 2985.

6 0
3 years ago
Point M is the midpoint of segment QR. If QM = 16 + x and MR = 2(x + 2), find the length of QM.
pav-90 [236]
Just add them
QM+MR=QR
16+x+2(x+2)=QR
16+x+2x+4=QR
20+3x=QR
6 0
3 years ago
Can anyone help me please i dont understand this
Katena32 [7]

Answer:

try doing this for each quesion

so you see the negative? well negative means less than more. then use your signs and try to get it done reply if you still dont understand

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Exponents solve this for 50 points and brainlist
Zepler [3.9K]

Answer:

<u></u>\frac{10m^{10}n^{6}p^{9}}{y}

Step-by-step explanation:

Simplifying the numerator :

⇒ (-5m⁷n⁰p⁵)(2m⁴n³p²)³

⇒ (-5m⁷p⁵)(8m¹²n⁹p⁶)

⇒ (-5)(8)(m)⁷⁺¹²n⁹(p)⁵⁺⁶

⇒ <u>-40m¹⁹n⁹p¹¹</u>

<u />

Dividing by the denominator :

⇒ \frac{-40m^{19}n^{9} p^{11}  }{-4m^{9}n^{3}p^{2}y} }

⇒ \frac{10m^{10}n^{6}p^{9}}{y}

7 0
2 years ago
Look at the problems 2.3×3.68 and 23×368. How are they similar? Which problem has a greater product?
Margarita [4]

Here is your answer:

1. These equations are similar because they "both share the same numbers but one is a decimal and the other is a whole number."

2. You have to solve each equation in order to determine which number is greater:

  • 2.3\times 3.68
  • 2.3 \times 3.68 = 8.464
  • = 8.464

And:

  • 23 \times 368 =
  • 23 \times 368 = 8464
  • = 8464

Finally:

  • 8.464 < 8464

Therefore "8,464 is greater than 8.464."

Hope this helps!

3 0
3 years ago
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