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3 years ago

find the sum of even numbers between 1001 and 10,000 (Arithmetic progressions) DO STEP BY STEP PLEASE

Mathematics

1 answer:

love history [14]3 years ago

7 0

Step-by-step explanation:

arithmetic progression

even numbers between 1001 and 10000

1002,1004,.......9998

Tn=a+(n-1)d

Tn = 9998 last term in the progression of even numbers

a = 1002 first term

d = 2 distance

9998=1002+(n-1)(2)

8996=2n-2

8998=2n

n = 4499 the number of terms

sum = n/2 (a+Tn) = 4499/2(1002+9998)

= (4499/2)(11000) = 24744500

Logic:

notice what happens when you add the first and last terms

1002+9998=11000

1004+9996=11000

.......

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Find C.

nasty-shy [4]

Answer:

$C=69.1^{\circ}$

Step-by-step explanation:

The Law of Cosines is given as:

$c^2=a^2+b^2-2ab\cos C$ .

Plugging in given values, we get:

$16^2=8^2+17^2-2\cdot 8\cdot 17\cdot \cos C,\\\cos C=\frac{-97}{-272},\\C=\arccos(\frac{97}{272}),\\C=\fbox{$69.1^{\circ}$}$ .

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3 years ago

you go to Frontier City with your parents, brother and sister. The cost for adults is $12.50, and the cost for children is $8.00

noname [10]

9514 1404 393

Answer:

cost for adults: 2×$12.50

cost for children: 3×$8.00

total cost: 2×$12.50 +3×$8.00

$49.00

Step-by-step explanation:

Assuming I, my brother, and my sister qualify for children's tickets, we have ...

cost for adults: 2×$12.50

cost for children: 3×$8.00

total cost: 2×$12.50 +3×$8.00

Evaluation:

$25.00 +24.00 = $49.00 . . . . . . . multiplication is performed first

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3 years ago

A mountain climber climbed down a cliff 50 feet at a time. He did this 5 times in one day. What was the overall change in his ev

PSYCHO15rus [73]

You just multiply 50 by 5 to get 250 feet

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3 years ago

Can somebody help me with this

neonofarm [45]

The sum of the expression (–x² + x) and (x² – 3x – 1) will be –2x – 1. Then the correct option is D.

<h3>What is Algebra?</h3>

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The expression can be written as

(–x² + x) and (x² – 3x – 1)

Then the sum of the expression (–x² + x) and (x² – 3x – 1) will be

(–x² + x) + (x² – 3x – 1) = –2x – 1

Then the correct option is D.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

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2 years ago

Does the inequality sing mean equals in an equasion

shtirl [24]

Here are the 4 inequality signs.

$a < b$      ---> a is less than b
$a \le b$     ---> a is less than or equal to b
$a > b$      ---> a is greater than b
$a \ge b$     ---> a is greater than or equal to b

For the second and fourth lines above, the two sides may or may not be equal.
For the first and third lines above, the two sides cannot be equal.

6 0

2 years ago

find the sum of even numbers between 1001 and 10,000 (Arithmetic progressions) DO STEP BY STEP PLEASE ​

find the sum of even numbers between 1001 and 10,000 (Arithmetic progressions) DO STEP BY STEP PLEASE