Mathematics College

1. We can express the square of any odd number as the sum of two consecutive positive
integers, for example 72 = 49 can be written as 49 = 24 + 25, write each of the followin
Squares of odd numbers, as a sum of two consecutive positive integers.
a. 169
b. 225
c. 289
d. 6561​

Answers

Answer 1

Answer:

a) 169 = 13² = 84+85

b) 225 = 15² = 112+113

c) 289 = 17² = 144+ 145

d) 6561 = 81² =  3280+ 3281

Step-by-step explanation:

Explanation:-

a) Given  169 is an odd number

Squares of odd numbers, as a sum of two consecutive positive integers

169 = 13² = 84+85

b)

Given  225 is an odd number

Squares of odd numbers, as a sum of two consecutive positive integers

225 = 15² = 112+113

c)

Given  289 is an odd number

Squares of odd numbers, as a sum of two consecutive positive integers

289 = 17² = 144+ 145

d)

Given  6561 is an odd number

Squares of odd numbers, as a sum of two consecutive positive integers

6561 = 81² =  3280+ 3281

Related Questions

If f(x)=2x3+4x2, find f(-3)

Answers

Answer:

-72

Step-by-step explanation:

2x^3+4x^2

2(-3)^3+4(-3)^2

-6^3+-12^2

-216+144

-72

1) Une raquette de tennis coûte 170 €.
Calculer son prix après une remise de 35 %.
2) Une tenue de sport coûtant 82 € est affichée à
69,7 € pendant les soldes.
Quel est le pourcentage de réduction?
3) Après une augmentation de 2,5 %, le loyer d'un
appartement est de 533 €.
Quel était le loyer avant l'augmentation

Answers

Answer:

brub

Step-by-step explanation:

brub

whats 18/7 as a mixed fraction

Answers

Answer:

2 4/7

Step-by-step explanation:

Expand. If necessary, Combine Like terms. (5x+1)(5x-1) Pleasure help as soon as possible and PLEASE TAKE YOUR TIME!!

Answers

Answer:

25x^2-1

Step-by-step explanation:

got it of khan academy  yw ;)

Answer:

25x^2-1

that what I got on kan academy

Harry drives 6 miles north while Selma drives 8 miles east. How far apart are Harry and Selma when they stop?

Answers

If you just think of a line graph you could do this on the y axis go up 6 and on the x axis go left 8 and make a right triangle with the 2 points you made and the origin and then use your equation to solve for the missing side

PLEASE HELP ME FAST!

Angela earned 90% on her unit 2 test. If there were 18 questions on the test, how many questions did she answer correctly?

Answers

Answer:

She answered 16.2 of the questions correct.

Step-by-step explanation:

First you have to move the decimal point on the 90% 2 places to the left so it's 0.90 and then you multiply that by 18 to get 16.2.

Rally sold 30 flower baskets at a market. She purchased 30 baskets for $142.65, 185 yards of ribbon for $.07 per yard, and $252.50 of assorted flowers.
a. What was Rally’s cost per basket?
b. What was Rally’s profit if she sold all the baskets for $25.99 each?

Answers

Answer:

She spent 142.65 for baskets, 252.50 for flowers and 185 * 0.07 or 12.95 for ribbons for a total outlay of 408.10. Since she made 30 baskets, that is 408.10/30 = 13.60 1/3 per basket.

If she sold all 30 for 25.99 each, that is 779.70 for a profit of 361.60

Step-by-step explanation:

:)

The base of a right prism is a regular hexagon with side 4. The height of the prism is 6. Find the lateral area and volume.

Answers

Answer:

(i) The lateral area of the right prism is 144 square units

(ii) The volume of the right prism is 249.42 cubic units.

Step-by-step explanation:

The lateral area of the right prism is calculated as;

Lateral area = perimeter of the base x height

Given;

a side of the hexagon base, s = 4

height of the prism = 6

perimeter of the hexagon = 6s

Lateral area = (6 x 4) x 6

Lateral area = 144 square units

Volume of the right prism is calculated as;

V = base area x height

base area of a hexagon = [tex]\frac{3\sqrt{3} \ \times \ s^2}{2}[/tex]

Volume of the right prism = [tex]\frac{3\sqrt{3} \ \times \ s^2}{2} \ \ \times \ \ h\\\\[/tex]

[tex]V = \frac{3\sqrt{3} \ \times \ (4)^2}{2} \ \ \times \ \ 6\\\\V = 249.42 \ cubic \ units[/tex]

The angle measures of a triangle are in the ratio of 5:6:7. Find the angle measures of the triangle.

Answers

Answer:

5x+6x7x=180

18x=180

X=10

if there is 5280 feet in 1 mile, how may feet are in 2 miles?

Answers

There is 10560 feet in 2 miles

HELP ME ASAP FOR BRAINLIEST!!

Mrs. Lopez made 12 ½ gallons of sweet tea for a celebration. How many quarts of sweet tea did Mrs. Lopez make?
(ask for brainliest)

Answers

Mrs. Lopez made 50 quarts of sweet tea

Find the x and y intercepts algebraically.
X + 3y = -3

Answers

Answer:

x=(-3,0)

y intercept= (0,-1)

Step-by-step explanation:

to find the x-intercept you need to substitute 0 for y and solve for x. To find the y intercept, substitute 0 for x and solve for y.

Help PLSSSS!
I need a equation based on the problem

Answers

Answer:

y=20x

Step-by-step explanation:

URGENT: Ashton, Justin and Kader together sold 146 tickets. Ashton sold 14 more than justin while Kader sold 10 more than Ashton. How many tickets did Justin sell?​

Answers

Answer:

i need help tooooooooooooo

Justin sold 64 tickets

Bill needs to get on the roof of his house

Answers

Answer:

okayyyyy tell bill to go and get a ladder thennnn

The drawing shows the irregular figure that is the outline of the swimming pool in Mr. Garcia’s backyard. He wants to place a tile border around the pool. Which is the best estimate of the amount of tile Mr. Garcia will need?
12 m
25 m
35 m
40 m

Answers

Answer:

its 25m  your welcome

Step-by-step explanation:

Answer:

C. 27

Step-by-step explanation:

Other persons wrong^

Someone help me plzz

Answers

Answer:

Its A, 8

Step-by-step explanation:

Answer: i think 24

Step-by-step explanation:

Correlation always implies causation. Is this statement correct?

Answers

Answer:

Correlation does not always imply causation. (It's not correct)

Step-by-step explanation:

Correlation tests 2 variables' relationship, but just because they are related does not mean they necessarily cause each other.

Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be
written using function notation?

Answers

Answer:

Its 12 U^U

Step-by-step explanation:

subtract 9x from each side

3y = 12 - 9x

divide by 3

y = 4-3x

f(x) = 4-3x

Let's say there is man who is 5.10 ft tall who doesn't know how to swim. Let's say he wants to swim in a lake with an average depth of 5.6 ft. What's the probability of his survival assuming that when the the lake depth surpases his height, he dies.

Answers

Answer:

uhhh not a very good chance im guessing.

Help!!?!?!?!?!?!?!?!?!?!?!?!?!?!?!?!?!

Answers

Nolur acil lütfen yalvarırım

I GIVEEEEEEEEE BRAINLISTTTT

Answers

Answer:

(x,y)--> (x+4,y-4)

Step-by-step explanation:

Simply the expression -2.5f + 0.2f - 11= 3

Answers

Answer:

f = ~-6.09 rounded to the hundredth

Step-by-step explanation:

-2.5f + 0.2f - 11= 3

-2.3f - 11 = 3

-2.3f = 14

f = -6.0869

Consider the complementary angles shown below. Find the value of x. X + 4 3x + 2

Answers

Answer:

x = 21

Step-by-step explanation:

For the complementary angles, the sum of two angles is equal to 90 degrees.

ATQ,

3x+2+x+4 = 90

Taking like terms together,

3x+x+6=90

4x+6=90

4x = 84

x = 21

So, the value of x is equal to 21.

I GIVEEEE BRAINLILSTTT

Answers

Answer:

A(3, 0)

B(-5, 6)

C(-2, -3)

Statement J is the answer

Will give brainlist
The radius of a circle is 9 centimeters. What is the length of a 96° arc?

Answers

Wrong answer but unique technique to consider: i think i inversed the ratio but i think its right

Pi = circumference/diameter

X/18 centimeters =pi

X is whole circumference 18pi cm you need to convert radians to degrees and get partial arc1 pi is 180 degrees so ratio of

Was the error inverse ratio 96/180?

180/96*18

Error here factor of 72 not 96

18*2*3*3*10/2*3*12 [edit factor should be 2 4 12 ]cancel out factors to reduce

180/4 =45cm

Correction

180*3/4*4

So answers i got are 45 cm corrected as 33.75 cm still way more than total circumference of 18pi 56cmapprox and 9.6cm both are wrong according to calculator online

Please note I canceled out pi by using is degree ratio

Double check i may be wrong

Step-by-step explanation:

Answer:

Solution, we have,

Degree measure ([tex]\theeta[/tex][tex]\alpha[/tex]) = 96° = 96[tex]\pi[/tex]/180

Radius (r) = 9cm

Length of arc (l) = ?

Now,

∝ = l /r

or, [tex]\frac{96\pi }{180}[/tex]  =[tex]\frac{l}{9}[/tex]

or, l =[tex]\frac{(96\pi )(9)}{180}[/tex]  =4.8[tex]\pi[/tex]cm

What is the exact value that is 23​% of 2302​?

Answers

Answer: 529.46

Step-by-step explanation:

Of means to multiply so multiply 23%  by 2302 to find the number.

23% * 2302   =

0.23 * 2302 = 529.46

Which equation represents a line that is parallel to y = -2x - 5?
OA -2x + y = -5
B. x-2y = -5
O c 2x - y = 0
D. 2x + y = 7

Answers

Answer:-2x+y=-5

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Factor.

Please helppp

Answers

Answer:
( y - 10 )( y - 2 )

Explanation:
First break down the equation y^2 -12y +20.
The equation now becomes y^2 -2y -10y +20. This is called creating and using the sum-product pattern. Now you need to find the common factor between both pairs to simplify the next equation, y ( y - 2 ) - 10 ( y- 2 ). ( y - 2 ) is the common factor. Now all you do is rewrite your equation in factored form. In this case, ( y - 10 )( y - 2 ). Comes out to be your answer.
-10(y-2) check photo!!!!

16. On a scale drawing of an office space floor plan, 1 inch represents 3
feet. The length of the copier room measures 7 inches on the floor
plan. How many feet does that represent?

Answers

Answer:

7

Step-by-step explanation:irk

The number of feet that represents the length of the copier room measures 7 inches on the floor plan will be 21 feet.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

On a scale drawing of an office space floor plan, 1 inch represents 3 feet. Then the scale factor is given as,

Scale factor = 3 / 1

Scale factor = 3 feet per inches

The length of the copier room measures 7 inches. Then the number of feet that represents 7 inches is given as,

⇒ 7 x 3

⇒ 21 feet

The number of feet that represents the length of the copier room measures 7 inches on the floor plan will be 21 feet.

More about the dilation link is given below.

https://brainly.com/question/2856466

#SPJ5

Other Questions
Photosynthesis uses water and _____ _______ to produce sugar and oxygen. Write a letter to the editor of newspaper about the problems of brain drain in Nepal suggesting their solutions. Please help me on this question please? HELP THIS IS WORTH 100 POINTS WILL MARK BRAINLIEST Please help Find x Is sound matter?? Please help me.. Tell one the lines for the given points are parallel, perpendicular, or neither. Just your answer. Line 1: (2, -3), (-4, -6)Line 2: (-3, 2), (2, -8) you want to cook a healthy meal for your family. while shopping for food, you remember that it is important to read the food labels and dates to help you make an informed choice. which statement best describes the "use by date shown on food products 63. What groups of people in foreign lands gave the most trouble to the Roman Empire? Sage Inc. purchased land, building, and equipment from Laguna Corporation for a cash payment of $384,300. The estimated fair values of the assets are land $73,200, building $268,400, and equipment $97,600. At what amounts should each of the three assets be recorded Which of the following BEST explains why Leo Frank was found guilty in the eyes of the public before his trial was completed? A. Antisemitism B. Jim Crow C. Atlanta Race Riot D. Plessy v Ferguson I need help with multiplying fractions factor using x method and foil to prove a 950 N skydiver jumps from an altitude of 3000 m. What is the total work performed on the skydiver? PLEASE I NEED A CORRECT ANSWER ASAPWhich two elements from the advertisement "The Opportunity of a Lifetime" could the speaker of "Voluntourism: An Opportunity Too Good to be True" use to support the point that voluntourists often lack the skills and proper motivation, causing more harm than good?A. The line "If you've always wanted to make a difference, here's your chance."B. The picture of the boy getting access to clean, running waterC. The question "Do you have a passion for travel?"D. The statistics that reveal the need for clean water, schools, and familiesE. The words "The only qualification necessary is a desire to help!" If you know that the value of an asset is $100 today, what concept will tell you what it will be worth in 5 years given a certain interest rate Conflict typically appears when a group is in transition. State several forms of conflict you can expect in the types of groups you will lead. Discuss what problem group members might present in the group setting. How will you attend to these problem group members Ali was asked to simplify the expression 3(x - 6) + (4x + 12) - 6x. His work is shown below. 3(x - 6) + (4x + 12) - 6x3x - 9 + 4x + 12 - 6x(3x + 4x - 6x) + (-9 + 12)x + 3 If you have access to stock solutions of 1.00 M H3PO4, 1.00 M of HCl, and 1.00 M NaOH solution, (and distilled water of course), what volumes of each would you mix before diluting to a final volume of 2.00 L to prepare 2.00 L of pH 7.40 buffer with a final total concentration of 50 mM of phosphorous contains species (e.g. so that [H3PO4] [H2PO4 - ] [HPO4 2- ] [PO4 3- ] Question 2 of 5Scientists predict that the human population will continue to increase. Whichtwo events will likely happen as a result?O A. More trees will be cleared from land.B. More oxygen will form in the atmosphere.C. More fossil fuels will be used for cars.D. More water will flow into watersheds.