What is the parity of the sum of 80 consecutive natural numbers?

Answers

Answer 1

Answer:

The sum is even :p

Step-by-step explanation:

[tex]\frac{(80+1)80}{2}[/tex]=3240

3240 is even so the parity of the sum of 80 consecutive natural numbers is even!


Related Questions

In ΔQRS, q = 9.4 cm, r = 8 cm and ∠S=151°. Find ∠Q, to the nearest 10th of a degree.

Answers

9514 1404 393

Answer:

  15.7°

Step-by-step explanation:

The law of cosines can be used to find side s:

  s² = r² +q² -2rq·cos(S)

  s² = 8² +9.4² -2(8)(9.4)·cos(151°) ≈ 283.903

  s ≈ 16.849

Then the law of sines can be used to find angle Q.

  sin(Q)/q = sin(S)/s

  sin(Q) = (q/s)sin(S)

  Q = arcsin(q/s·sin(S)) = arcsin(9.4/16.849·sin(151°)) ≈ 15.692°

Angle Q is about 15.7°.

QUICK brainiest ASAP! ive been posting this over and over for days and no response what's up with brainy these days?? Use a trigonometric ratio to find the measure of θ in the triangle below. Give your answer to the nearest degree. You may use the trigonometric functions of the Desmos scientific calculator: SHOW ALL YOUR WORK so I can see if the answer makes sense!

Answers

Answer:

64 degrees

please mark brainliest

Step-by-step explanation:

[tex] \sin( \alpha ) = \frac{opp}{hyp} \\ \sin( \alpha ) = \frac{9}{10} \\ \alpha = { \sin }^{ - 1} ( \frac{9}{10} ) \\ \alpha = 64.15 \\ \alpha = 64[/tex]

Select the expression that has a value of 2.472.

A. 0.824 x 3
B. 8.24 x 3
C. 82.4 x 3
D. 824 x 3

Answers

Answer:

A. 0.824 x 3=2.472

Step-by-step explanation:

hope this helps

How many solutions does this equation have?

6h−(9−3h)=6−3(h+2)

Answers

It has no solution but it has a answer.

Answer:h = 3/4

Exact form: h = 3/4

Decimal form: h = 0.75

Step-by-step explanation:

What I did was Factor and set each factor equal to zero. Also I tried to Find All Complex Solutions and it only has one, and how I came up with the solution is by solving the Inequality for h.

Answer:

no solution

Step-by-step explanation:

A bag contains 2 red, 4 yellow and 6 blue balls. the probability of drawing a blue ball from the bag at random is

Answers

Answer:

1/2

Step-by-step explanation:

because add 2 4 6 it gives 12

blue is 6 divide 6 by 12 it gives 1/2

Please help!! Find the length of the third side. If necessary, write in simplest radical form.

Answers

Answer:  7

============================================================

Work Shown:

[tex]a^2 + b^2 = c^2\ \text{ ... pythagorean theorem}\\\\4^2 + x^2 = \left(\sqrt{65}\right)^2\\\\16 + x^2 = 65\\\\x^2 = 65-16\\\\x^2 = 49\\\\x = \sqrt{49} \ \text{ ... only consider the positive root}\\\\x = 7\\\\[/tex]

p(-2)=-3+4x please help​

Answers

Answer:

first off, this may be completely wrong, but I did try my best. You need to clarify what this is for so I went with the easiest route, solving for variables.

P=0

X= - 3/4

Step-by-step explanation:

P(-2)=-3+4x

Solving for X

-2P=-3+4x

-2(0)=-3+4x

-3=4x

- 3/4=X

Solving For P

P(-2)=3+4(- 3/4)

P(-2)3-3

P=0

Someone please help:)))

Answers

Answer:

y = x + 5

Step-by-step explanation:

The y values are 5 more than the x values.

Denise bought a T-shirt at the sale price of $21.08. This represents a 15% decrease in price. What was the original price of the shirt?

Answers

Answer:

100% - 15 % = 85 %

So, $21.08 represents the 85% sale price

What number represents the other 15% of the original price?

(21.08 x 15) / 85 = 3. 72

$21.08 + $3.72 = $24.80 which is the original price.

Step-by-step explanation:

- 2/3+ 1/3 helpppp lol

Answers

-0.33333333333

Step-by-step explanation:

23+13 = ?

The two fractions already have like denominators, so just add the numerators:

-23+13=-2 + 13=-13

The result is:

-23+13=–13

Answer:

-2/3 + 1/3 = -1/3

Step-by-step explanation:

using addition to solve a fraction with the same base

step 1: take the denominator of both fractions and clear them from the equation

ex: -2/3 + 1/3 = ?   (-2 + 1 = ?)

step 2: solve the new equation -2 + 1 to get your answer of

ex: -2 + 1 = ?   (-2 + 1 = -1)

step 3: since both denominators of the fractions have the same number then our answer will also have a denominator of 3 giving us the answer to the problem -2/3 + 1/3 = ? is -1/3

plz give brain if this helps and is correct. thx

can someone please help me

Answers

Answer:the answer Plane

Step-by-step explanation:

Answer:

Plane is the correct answer

Step-by-step explanation:

Somebody help me please

Answers

Answer:

A and C ....................................

Answer:

the answer is :a and c

Step-by-step explanation:

i did it

Can someone maybe help me on number 6 and 7?

Answers

Answer:

39 and 22

Step-by-step explanation:

your adding by 5 so if you continue that you'll get 39

as for the bottom one it's adding by by 3 so if we continue that we'll get 22

Bus X travels 40 miles per hour for 2 hours; Bus Y travels 60 miles per hour for 1 1/2 hours. What is the difference, in miles, between the number of miles traveled by Bus X and the number of miles traveled by Bus Y?

Answers

Answer:

it should be 250m

Step-by-step explanation:

Bus X travels 40m for 2h which gives you 80m and Bus Y travels 60m for 11/2h which gives you 330m so the difference in miles is 250m

What does m represent in the equation y= mx+b? Iready

Answers

Answer:

"m" represents the slope in the linear equation, y = mx + b

Answer:

The slope of the graph of y = mx + b

Step-by-step explanation:

Fran runs 5.4 miles a day. How far will he run in 6 days?

Answers

32.4 miles in 6 days.

Step-by-step explanation-

Given:-

Fran runs 5.4 miles a day.

To find:-

How far will he run in 6 days.

Solution:-

Multiply using the formula

[tex]d = s \times t[/tex]

So, multiply:-

[tex]5.4 \times 6[/tex]

[tex] => \: 32.4 \: miles[/tex]

Therefore, he ran 32.4 miles in 6 days.

✍️ By Benjemin ☺️

Simplify
8r^0

A. 8
B. 1​

Answers

Answer:

A). 8 is correct answer

Step-by-step explanation:

8 x 1 = 8

(Hope this helps can I pls have brainlist (crown )☺️

A side of the triangle below has been extended to form an exterior angle of 135º. Find
the value of x.
xo
135
115

Answers

Answer:

X = 45

Step-by-step explanation:

x + 135 = 180  {Linear pair}  

       x = 180 - 135          {Subtract 135 from both sides}  

       x = 45

Question 6
What is the slope of the line whose equation is
2y = 3x + 4?

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

y = mx + c

m = the slope

2y = 3x + 4

y = 3x + 4 / 2

y = 1.5x + 2

slope = 1.5

Determine if the sequence 0.2 comma 1 comma 5 comma 25 comma... is arithmetic or geometric. Then identify the next term in the sequence.

A
geometric; 125

B
arithmetic; 75

C
arithmetic; 125

D
geometric; 75

Answers

Answer:

The answer would be C.

Step-by-step explanation:

0.2 x 5 = 1

1 x 5 =5

5 x 5 = 25

So your next number in the sequence should be 125.

I NEED ANSWERS!!

THE POINTS ARE 25

Answers

Answer:

B. 1 1/3

Step-by-step explanation:

Exact Form 4/3

Decimal form 1.3

Mixed Number 1 1/3

Solve each equation
1.0=x^2-7x-18

2. x^2 + 10x = 39

3. 0= x^2-10x+12


4. 2x^2+4x =0

5. 3x^2 -22 +7=0

show work​

Answers

Step-by-step explanation:

1.

[tex]0 = {x}^{2} - 7x - 18 \\ 0 = {x}^{2} + 2x - 9x - 18 \\ 0 = x(x + 2) - 9(x + 2) \\ 0 = (x + 2)(x - 9) \\ \\ \\ (x + 2) = 0 \: \: \: \: or \: \: \: \: (x - 9) = 0 \\ \\if \: \:x + 2 = 0 \\x = 0 - 2 \\ x = (- 2) \\ \\ if \: \:x - 9 = 0 \\ x = 0 + 9 \\ x = 9 \\ [/tex]

Which is the solution set of this
inequality?
- 2n – 7> -25
-
A. n> 16
B. n< 16
C. n>9
7
D. n<9

Answers

Answer: n> 16

:))))))))

please help! Cant find the answer!Thank you!!

Answers

Answer:

The coordinates of A" are (4, 2)

Step-by-step explanation:

7v- 5 ≥ 65 or -3v - 2 ≥ -2​

Answers

The result if the inequality expressions are v ≥ 10 and v < 0

Given the following inequality expression

7v- 5 ≥ 65 or -3v - 2 ≥ -2

Solve the inequality individually

7v - 5 ≥ 65

Add 5 to both sides

7v - 5 + 5 ≥ 65 +5

7v ≥ 70

v ≥ 70/7

v ≥ 10

For the inequality-3v - 2 ≥ -2

Add 2 to both sides

-3v - 2 + 2≥ -2 + 2

-3v ≥ 0

v < 0

Hence the result if the inequality expressions are v ≥ 10 and v < 0

Learn more here: https://brainly.com/question/15816805

Find the exterior angle

Answers

Answer:

x = 128 degrees

Step-by-step explanation:

So we know that a triangle's interior angles should add up to 180 degrees.

We also know that when a triangle has that little square in a corner, that corner is equal to 90 degrees.

With these clues, we can figure out that the last interior angle is equal to:

180 - (38+90) = 52, however this isn't the answer we are looking for.

We also know that a straight line is 180 degrees. Therefore, to find the exterior angle we just subtract the interior angle from 180 degrees:

180 - 52 = 128

x = 128

A shelf 16 5/8
inches wide is to be placed in a space that is
16 3/4 inches wide. Will the shelf fit in the space? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

5/8 is smaller then 3/4(6/8) NOW GIVE ME BRAINLIEST NOW

16 3/4 = 16 6/8 which is bigger than 16 5/8 so it will fit.
I hope this helps
But I’m not like the previous person, I don’t beg for brainliest I help for the sake of it and god will help me because of it.
Thanks

I need help with this question

Answers

Which one is your question???

What is the slope of the line that passes through the points (8, 4)(8,4) and (20, -4) ?(20,−4)? Write your answer in simplest form.

Answers

I think that the answer is

Y= -0.66x+9.33

Which is the better buy?

A 450 g box of cereal for $4.69 or a 600 g box of cereal for $6.49?

Please show ALL of your work.

hint: convert each to a unit rate using "cost / gram", then compare each to see which is cheaper.

Answers

Answer:

450g box of cereal for $4.69 is cheaper

Step-by-step explanation:

450/4.69 = 95.9488272921/1

600/6.49 = 92.4499229584/1

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