Find the least 2-digit whole number N so that the sum 2^9+2^4+N is a perfect square.

Answers

Answer 1

Answer:

N=48

Step-by-step explanation:

2^9+2^4+48=576

576 is a perfect square

Answer 2

The least value of N that makes [tex]2^9 + 2^4 + N[/tex] a perfect square is 48

The number is given as:

[tex]2^9 + 2^4 + N[/tex]

Evaluate the exponents

[tex]2^9 + 2^4 + N = 512 + 16 + N[/tex]

Add 512 and 16

[tex]2^9 + 2^4 + N = 528 + N[/tex]

The above equation means that:

The sum of 528 and N is greater than 537 (this is so because N is 2-digit i.e. the possible value of N starts from 10).The smallest perfect square greater than 537 is 576.

So, the smallest value of the equation is 576.

The equation becomes

[tex]528 + N = 576[/tex]

Subtract 528 from both sides

[tex]N = 576 - 528[/tex]

[tex]N = 48[/tex]

Hence, the least value of N is 48

Read more about perfect squares at:

https://brainly.com/question/1538726


Related Questions

Please help! take a pic and put a dot with the drawing tools on ur snipping tool/snip and sketch. Please i cant fail these questions!

Answers

take a pic of what and where are the questions???

Convert 84 grams into milligrams.

Answers

Answer:

The answer is 84000 milligrams

Step-by-step explanation:

The formula is to multiply the mass value by 1000

Answer:

84000 mg

Step-by-step explanation:

1 gram = 1000 mg so 84 times 1000 is 84000

Find the lateral surface area and total surface area of each figure. Only 12 and 13

Answers

Answer: 55

Solution: 1x 5



Answer accended: 55

You need to raise a total of $1,000 for your trip. There are 20 days before you leave. You estimate that you will be able to sell 25 candy bars per day. How much should you charge for each candy bar?

Answers

Answer:

1,000 ÷25 = 40 so 40÷20= $2.00

your answer is $2.00 hope this helps

- 2/7 divided by - 8/21

Answers

I like to use the way flip the second fraction then cross cancel then multiply.

(-2/7)/(-8/21)

= (-2/7)(-21/8) (cross cancel) so 8 / 2 = 4 and 21 / 7 = 3. The 7 and 2 becomes 1.

= (-1/1)(-3/4)

= 3/4 or decimal 0.75

Answer:

3/4

Step-by-step explanation:

(-2/7) / (-8/21)

= (-2/7) * (-21/8)

=(-2*-21) / (7*8)

=42/56

= 3/4 -simplified

At a sale this week, a suit is being sold for $274.40. This is a 72% discount from the original price.

Answers

Answer:

Your new total with the sale is 76.83 dollars

Step-by-step explanation:

What is the absolute value of - 2 2/3

Answers

Answer:

2 2/3

Step-by-step explanation:

absolute value means the distance between a number and 0 so therefore the absolute value s 2  2/3

Ann made a scale drawing of a theater. The scale she used was 1 inch : 7 feet. The stage is
28 feet wide in real life. How wide is the stage in the drawing?
inches

Answers

Answer:

4 in

Step-by-step explanation:

Use ratios and solve:

1 in ÷ 7 ft = x in ÷ 28 ftx = 28/7 inx = 4 in

When 21 is subtracted from the square of a number, the result is 4 times the number.
Find the positive solution.

Answers

Answer:

7

Step-by-step explanation:

7^2 =49

49 -21 =28

28÷7 = 4

A printing company sells small packages of personalized stationery for $7 each, medium
packages for $12 each, and large packages for $15 each. Yesterday, the company sold 9
packages of stationery, collecting a total of $86. Three times as many medium packages
were sold as large packages.

Can someone set up the question? I’m unsure of what the equations would be.

Answers

Step-by-step explanation:

what's the question ? it does not say.

I assume it is "how many packages of what size were sold ?"

x = number of small packages

y = number of medium packages sold

z = number of large packages sold

x + y + z = 9

7x + 12y + 15z = 86

y = 3z

these are the 3 equations we get out of the question.

we put the third equation into the other two :

x + 3z + z = x + 4z = 9

7x + 12×3z + 15z = 7x + 36z + 15z = 7x + 51z = 86

it of this first equation we get

x = -4z + 9

and putting that into the other equation :

7×(-4z + 9) + 51z = 86

-28z + 63 + 51z = 86

23z = 23

z = 1

y = 3z = 3×1 = 3

x = -4z + 9 = -4×1 + 9 = -4 + 9 = 5

so, 5 small, 3 medium and 1 large packages were sold.

Carefully evaluate f (1)

Answers

Answer:

it should be f

Step-by-step explanation:

4. Solve for x, and explain which theorem or
postulate that helps you find the answer.

Answers

Answer:

x = 4°         Alternate Exterior Angles

Step-by-step explanation:

[tex]\begin{array}{cc}Statement&Reason\\21x + 6= 90&Alternate -Exterior -Angles\\\end{array}\right][/tex]

Solve for x:

21x + 6° = 90°

21x = 84°

x = 84°/21

x = 4°

[tex]\begin{array}{ccc}Statement&Reason\\21x + 6= 90&Alternate -Exterior -Angles\\x = 4&Algebra\end{array}\right][/tex]

-Chetan K


Francis's rectangular lawn has a length of 2x + 1 feet and a width of x + 1 feet. She plants a square garden with a side length of x + 2 feet
in the lawn. What is the area of the lawn not covered by the garden?

Answers

Answer:What is the slope of the line through (-5,-10)(−5,−10)left parenthesis, minus, 5, comma, minus, 10, right parenthesis and (-1,5)(−1,5)left parenthesis, minus, 1, comma, 5, right parenthesis?

Step-by-step explanation:

Answer:x^2-x-3

Step-by-step explanation:

step 1-find area of rectangular lawn

(2x+1)(x+1)=2x^2+3x+1

step 2-find area of garden

(x+2)(x+2)=x^2+4x+4

step 3- subtract the two

=x^2-x-3

PLEASE HELP URGENT!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

3x^2-2x+4-5x^2+6x-8 = -2x^2-8x+12

Can you please give me the domain and the rage of the graph below? And not in (-∞,∞) form please, thank you

Answers

Answer:

d:-3, -2, -1, 0, 1

r: all numbers that are 4 and below

Step-by-step explanation:

PLEASE HELP ! what is f(5)
A) 0
B) 5
C) -7
D) -5

Answers

[tex]⇒[/tex][tex]f(x) = f(5) \\ = 5f[/tex]

- BRAINLIEST answerer

the answer is C. -7

f(5) = -7

A town’s population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?

Answers

Answer:

percentage change divided by real value, *100.

421-376 = 45

45/421 = approx. 0.10688361

*100 = 10.6%

Step-by-step explanation:

for a brainlist pls answer
+ accurate explanation

Answers

The answer is (-2, 1) Step-by-step explanation

please helpppppppppoppo

Answers

Step-by-step explanation:

360_90_110=1602a+3a=160a=32°


There are four springs stretched by the same mass.
Spring A stretches 25 cm.
Spring B stretches 10 cm.
Spring C stretches 100 cm
Spring D stretches 1 cm.

Which spring has the largest spring constant?
Ο Α
O B
O C
O D

Answers

Answer:

C is my answer

You cam correct me if im wrong in the comments

I have "Write an equation for each problem. Then solve the equation.

The opposite of a number is -9. What is the number? I know the opposite is 9 but I don't understand how to make this an equation

Answers

Answer:

9

Step-by-step explanation:

if the opposition of a number is equal to -9.

hence the expression above....

Find the slope between the following points: (6,-2) and (-18,4)

Answers

Answer:

[tex]-\frac{1}{4}[/tex]

Step-by-step explanation:

1. Use the slope formula:

[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

2. Using the x and y values from both points (it doesn't matter which order you choose the points in as long as you keep their numbering consistent, i.e. point 1 = [tex](x_1, y_1)[/tex] and point 2 = [tex](x_2, y_2)[/tex]) plug into the formula.

[tex]slope=\frac{4-(-2)}{-18-6}[/tex]

3. Simplify the fraction.

[tex]slope=\frac{6}{-24} =-\frac{1}{4}[/tex]

please answer the question fast i need it

Answers

Answer:

[tex]\frac{6}{5}[/tex]

Step-by-step explanation:

The similarity ratio is the ratio of corresponding sides, image to original

ratio = [tex]\frac{LK}{FG}[/tex] = [tex]\frac{24}{20}[/tex] = [tex]\frac{6}{5}[/tex] ( = 1.2 )

-2x+9y=-41
-2x-5y=1

Process of elimination

Answers

-2x+9y=41.... equation 1

-2x-5y=1 ....equation 2

________________

14y=43

y=43/14

y=43/14 in equation 1

-2x+9(43/14)=41

-2x+387/14=41

-2x=41-387/14

-2x=187/14

x=187/-28

x=187/28 , y=43/14

if you want to check your answer

-2(187/28)+9(43/14)=41

i just wanna make sure yall, when it says find the coordinates does mean
to find x and y?

Answers

Answer:

it means to graph the x and the y are horizontal and vertical lines that you use in graphs to graph the number or to reach it ,, hope this helps ..

Step-by-step explanation:

The currency in China is the Yuan. The
exchange rate is approximately $1 for
every 8 Yuan. At this rate, how many
Yuan would you get if you exchanged $10?

Answers

Answer:

80 Yuan for 10 Dollars

Step-by-step explanation:

1 dollar = 8 yuan

10 x 8 = 80

Answer:

80 yuan

Step-by-step explanation:

$1= 8

you have $10

10*8= 80

10 x f(7) +9 x g(-1)=

Answers

the answer is 78

Step-by-step explanation:

10×7+9x-1=78

Answer: The answer is -1

Step-by-step explanation:

which absolutely value inequality represents the given graph? A. |-3x| < 15 B. |-3| > 15

Answers

Answer:

B.|-3x| > 15

Step-by-step explanation:

A drive-through car wash can wash 10 vehicles in 45 minutes. At this rate, how long would it take to wash 4 cars?

Answers

Answer:

18

Step-by-step explanation:

First we need to know how many vehicles they can wash in a minute.

1. So you do 10/45. You get 4.5

2. Now that you know that they wash 1 vehicle in 4.5 minutes, you mulitply that by 4. And you get 18.

Hope this helps! :D

answer:

7.5

I'm not good at don't hate me pls???

These are already solved but can someone explain how we got them, steps please! I really need it..

Answers

Answer:

1A,) 5x 2 and 3x are unlike terms and 9x 3 and 2x 2 are also unlike term

* so you have to put the like terms together to solve the equation

*then you say 9x 3 first because it is the biggest number (I think)

* then you put 5x 2 and 2x 2 together and 3x and x together too

* then you will get : 9x 3+ (5x 2 + 2x 2) + (3x -x)

:9x 3 + 7x 2 +2x

Note:

in algebra 3x -x is like saying 3-1 aka x is seen as 1 but the one is invisible

haha

and unlike terms are terms that do not have the same variables or powers while like terms are terms that have the same variables or powers

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