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MatroZZZ [7]
3 years ago
13

Find the sum of the arithmetic series........... 3 + 5 + 7 + 9 + 11 + for 100 terms.

Mathematics
1 answer:
tatyana61 [14]3 years ago
4 0

Answer:

Step-by-step explanation:

3 + 5 +7 +9 + 11 + ....

n = 100

a = 3

d = 5 - 3 = 2

S_{n}=\frac{n}{2}(2a + (n-1)d)\\\\S_{100}=\frac{100}{2}(2*3+99*2)\\\\=50*(6+198)\\\\= 50 * 204\\= 10200\\

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A right triangle has a base that measure 39 inches and a height that measures 80 inches. What is the length of its hypotenuse?
guajiro [1.7K]
The Pythagorean Theorum formula is a(squared) + b(squared)= c(squared). If you plug in the numbers, the equation is 39(squared) + 80(squared)= c(squared). That simplifies to 1521+6400=c(squared). Adding results in 7921=c(squared). Finally, when you take the square root of both sides, you are left with 89=c (aka the hypotenuse)
5 0
3 years ago
What is six minus negative two x?
GalinKa [24]

Answer:

Therefore the Expression will be.

6-(-2x)

6+2x ...As minus - minus sign becomes plus.

Step-by-step explanation:

What is six minus negative two x?

Solution:

It is the Algebraic Expression in Statement form.

Algebraic Expression is given in the form numbers and variables with the operands such as

  • ' + ' Plus Sign
  • ' - ' Minus Sign
  • ' × ' Multiplication Sign
  • ' ÷ ' Division Sign, etc.

Hence Our Statement is " six minus negative two x "

i.e. Number 6 minus sign then again a minus sign of 2x.

Therefore the Expression will be.

6-(-2x)

Also equals

6+2x ...As minus - minus sign becomes plus.

5 0
3 years ago
A scientist removed a sample of 39.1 grams of a chemical from a container. The sample was 5 3/4 grams less than 3/10 of the tota
Oksanka [162]

The first thing we must do for this case is to define variables:

x: the total mass of the chemical in the container

y: a sample of a chemical from a container

We have the following equation:

y = (3/10) x - 5 3/4

Then, for y = 39.1 we have:

39.1 = (3/10) x - 5 3/4

Clearing x:

(3/10) x = 39.1 + 5 3/4

(3/10) x = 44.85

x = (10/3) * (44.85)

x = 149.5 grams

Answer:

the total mass in grams of the chemical in the container before the scientist removed the sample of 39.1 grams was:

x = 149.5 grams.

3 0
3 years ago
11 less than the product of a number and -4
denpristay [2]

Answer:

-4n - 11

Step-by-step explanation:

Step 1:  Convert words into an expression

11 less than the product of a number and -4

(n * -4) - 11

<em>-4n - 11</em>

<em />

Answer:  -4n - 11

<u>If needed solve</u>

-4n - 11 + 11 = 0 + 11

-4n / -4 = 11 / -4

<em>n = -2.75</em>

7 0
3 years ago
I only need number 11 in the picture please help and show work ​
IgorLugansk [536]

Answer:

1 = 115°

2 = 115°

3 = 65°

Step-by-step explanation:

P=65, so S (3) =65

360-65-65=230

230/2=115

Q (1) = 115

R (2) = 115

3 0
3 years ago
Read 2 more answers
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