whose perfect square should be added to the sum of the greatest three-digit prime number and the smallest two-digit prime number, so that the resultant number is perfect square of 32?​

Answers

Answer 1

The greatest 3 digit prime number is 997 and the smallest 2 digit prime number is 11. 997+11 = 1008

32^2 = 1024

1024-1008 = 16.

root(16) = 4


Related Questions

A rectangular box contain 782 apples. If there are 23 rows in a box, how many columns are there?

Answers

Answer:

34

Step-by-step explanation:

This is because you will have to simply divide 782 by 23.

782 / 23 =

34 :D

Find the area of the triangle.​

Answers

Answer:

B

Step-by-step explanation:

area=1/2×32×6.1=16×6.1=97.6 yd²

Answer:

Choice B. 97.6 yd^2

Step-by-step explanation:

B×W×.5= A

convert 123000000 milligram into gram​

Answers

Answer:

123,000 grams

Step-by-step explanation:

1000 mg is equivalent to 1 gram.

Answer:

123000g

Step-by-step explanation:

1000mg=1g

123000000mg= xgrams

cross multiplying,

you'll have

[tex] \frac{123000000}{1000} = 123000[/tex]

Rectangle ABCD is similar to rectangle JKLM. AB = 12, BC = 8, CD = 12, DA = 8, and JK = 15. What is the scale factor from JKLM to ABCD? Reduce all answers.

Answers

Answer:

4/5 or 0.8

Step-by-step explanation:

this problem description is not very precise. it leaves out the definition what corners or sides of JKLM correspond to corners and sides of ABCD.

I assume J and K correlate to A and B, and JK is a long side of JKLM.

so, we are going from JKLM to ABCD.

that means we are going from larger to smaller (as JK = 15 and therefore larger than AB = 12).

what is the scale factor to go from 15 to 12 ?

15 × x = 12

x = 12/15 = 4/5 or 0.8



** I NEED HELP PLEASE AND THANK YOU***

Instructions : X,Y,and Z are midpoints. Find the length of each segment.​

Answers

Answer:

MZ = 10

ZO = 10

MO = 20

XZ = 9

YZ = 7

Step-by-step explanation:

Triangles are all the same, proportionally.

X is midpoint of 14, so 7

Y for 18, so 9

Triangle with 10 is 7, 9, 10

Full triangle is double at 14, 18, MO

Since angle N is same angle, MO is double 10, so 20

Z is midpoint, so both halves are 10

Because of midpoints, XZ and YZ with 10 form same triangle as half triangle at 9, 7, and 10 respectively.

The question is "find the lowest common multiple of 4 and 6"
with step by step explaination

Answers

Answer:

12

Step-by-step explanation:

4s multiples:

4,8,12,16,20,24

6s multiples:

6,12,18,24,30,36

lowest number that is a common multiple between both 4 and 6:

12

Answer: 2

Step-by-step explanation:

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Data should be analyzed using each of the following except:
A. measures of central tendency
B. shape
C. population size
D. spread

Answers

The answer seems to be d

Writing equations in standard form:

(1,-6) and (-7,2)

How would I write this in standard form? I already tried but I keep getting x+y=7 and it says it’s wrong so could someone help?

Answers

Answer:

[tex]x + y = - 5[/tex]

Step-by-step explanation:

hopefully it is clear and makes sense

:)

here is another question i need help

Answers

the one you have selected is correct

The population of a large U.S. city is 2,707,210. Which of the following best expresses this population?
A 2.7 × 106 C 2.707 × 106
B 2.7 × 107 D 27.07 × 106

Answers

Answer:

2.707 * 10^6

i think it is the best expression

Find the volume of each figure. Round your answers to the nearest tenth, if necessary​

Answers

Answer:

1.92

hopefully this answer can help you to answer the next question.

Evelyn earned a score of 86 on Exam A that had a mean of 71 and a standard deviation of 20. She is about to take Exam B that has a mean of 550 and a standard deviation of 40. How well must Evelyn score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally distributed.

Answers

Answer:

580

Step-by-step explanation:

Assuming that the answer should be in terms of z scores, we can calculate the z score as

z = (observed value - mean)/(standard deviation)

For the first exam, the observed value is 86, the mean is 71, and the standard deviation is 20. The z score fot that exam is

z = (86-71)/20 = 0.75

Then, for the second exam, Evelyn has to do equivalently well, so the z score must be the same. Therefore, we have

0.75 = (observed score - 550)/40

multiply both sides by 40 to remove a denominator

0.75 * 40 = observed score - 550

add 550 to both sides to isolate the observed score

0.75 * 40 + 550 = observed score = 580

Use the quadratic formula to find the solutions to the quadratic equation below. Check all that apply. 5x2-X-4 = 0 A. -4/5 B. 5/4C. 2/3 D. 1 E. -1 F.3/2​

Answers

Hi

5x²-x-4 = 0  

Δ= (-1)² - 4*5*(-4)

Δ =  1 -4*-20

Δ = 1  +80

Δ = 81  

√Δ=  9

as Δ ≥ 0 , so 2 solutions exist in R

S1 is :    ( 1+9) /2*5  =   10/10 = 1

s2 =      (1 -9)/2*5 =  -8/10 = -4*2 /2*5  = -4/5

Corrects answers are  A  and  D

Answer:

A. -4/5 And D. 1

Step-by-step explanation:

i just got it right

Two sides of a right triangle measure 5 inches and 6 nches, and the third side measures 61 inches.
The length of the third side is about
inches _ . The perimeter of the triangle is about
inches. __

Answers

Answer:

The length of the third side is 7.81 inches and the perimeter of the triangle is about 18.81 inches

Step-by-step explanation:

I need help to find x=

Answers

Answer:

x=12

Step-by-step explanation:

Since the polygons are similar, we can write a ratio to solve

red side / yellow side

4      2

--- = ---

x       6

Using cross products

4*6 = 2x

24 = 2x

Divide by 2

24/2 =2x/2

12=x

Answer:

12

Step-by-step explanation:

When two shapes are similar, you need to find the scale factor of two existing corresponding sides.

For example, you can do 6 and 2.

Divide:

6/2 = 3

The scale factor: 3

Now multiply 4 and the scale factor (3):

4 × 3 = 12

So, x = 12.

Hope this helped.

Х
49°
X =
degrees
What do I do

Answers

Answer:

x = 139

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angle

x = 49 +90

x = 139

An exterior angle of a triangle is equal to the sum of its interior opposite angles.

[tex] \bf \large \implies \: x \: = \: 49 \degree \: + \: 90 \degree[/tex]

[tex] \bf \large \implies \: x \: = \: 139 \degree [/tex]


Last year, Mary opened an investment account with $5400. At the end of the year, the amount in the account
had decreased by 6%.

Answers

6/100*5400
324
5400-324
5076 final answer

[tex]\frac{3}{2x}[/tex]-[tex]\frac{11}{5}[/tex]=[tex]\frac{7}{8}[/tex].[tex]\frac{64}{49}[/tex]

Answers

Answer:

x=35/78

Step-by-step explanation:

3/2x-11/5=(7/8)*(64/49)

3/2x-11/5=8/7

3/2x=8/7+11/5

3/2x=117/35

x=(35*3)/(2*117)

x=35/78

Please help me
A person starts walking from home and walks: 6 miles East 6 miles Southeast 3 miles South 5 miles Southwest 2 miles East This person has walked a total of 22Correct miles Find the total displacement vector for this walk: If this person walked straight home, they'd have to walk miles

Answers

Answer:

1) The total displacement vector is ((16 + √2)/2, -(6+11·√2)/2)

2) The number of miles they'd have to walk is approximately 13.856 miles

Step-by-step explanation:

1) The distance, direction, and location of the path of the walk the person takes,  are listed as follows;

Start location, (0, 0)

6 miles East walk to location, (6, 0)

6 miles Southeast to location, (6 + 3·√2, -3·√2)

3 miles South to location, (6 + 3·√2, -3·√2 - 3)

5 miles Southwest to location, (6 + 3·√2 - 2.5·√2, -3·√2 - 3 - 2.5·√2)

2 miles East to location, (6 + 3·√2 - 2.5·√2 + 2, -3·√2 - 3 - 2.5·√2)

(6 + 3·√2 - 2.5·√2 + 2, -3·√2 - 3 - 2.5·√2) = ((16 + √2)/2, -(6+11·√2)/2)

Therefore the destination coordinates is ((16 + √2)/2, -(6+11·√2)/2)

The total displacement vector, [tex]\underset{d}{\rightarrow}[/tex] = ((16 + √2)/2, -(6+11·√2)/2)

d =  (16 + √2)/2)·i - (6+11·√2)/2)·j

2) If the person walked straight home, the number of miles they'd have to walk, [tex]\left | \underset{d}{\rightarrow} \right |[/tex], is given as follows;

[tex]\left | \underset{d}{\rightarrow} \right | = \sqrt{\left(\dfrac{16 +\sqrt{2} }{2} \right)^2 + \left(-\dfrac{6 + 11 \cdot \sqrt{2} }{2} \right)^2 } = \sqrt{134 + 41 \cdot \sqrt{2} }[/tex]

Therefore;

If the person walked straight home, the number of miles they'd have to walk [tex]\left | \underset{d}{\rightarrow} \right | \approx 13.856 \ miles[/tex]

**URGENT PLEASE HELP**
Find g(x), where g(x) is the translation 2 units right and 13 units down of f(x) = -2x + 5.​

Answers

Answer:

g(x)=x+9

Step-by-step explanation:

When translating a graph, adding the number of units shifts the graph to the left and subtracting the number of units shifts it to the right. Since you need the graph translated 9 units to the left, you will need to add that many units to x

therefore, g(x)=x+9

Answer:

g(x)=x-8

Step-by-step explanation:

-2+2 = 0, so g(x) = x

5-13 = -8

someone please help me with this question​

Answers

Answer:

Step-by-step explanation:

The diagram is given to you below. I could not change <C so that it was theta. So C = theta.

So C is the reference angle. Call it theta when you think of it. The diagram shows you how cos(C) must be set up.

The adjacent side is 7

The hypotenuse is 18

theta = C = cos-1(7/18) = 67.11

To the nearest degree 67.11 = 67

Plz help me out with this ;)

Answers

I have the same problem with you

Find a recursive rule for the nth term of the sequence.

-8, 3, 14, 25, ...

Answers

Answer:

Step-by-step explanation:

a1=-8

a2=3

D=11

n=-8+11(n-1)


A1=-8
A2=3
D=11. n=-8+11(+1)

Find the missing length the triangles are similar.

Answers

Answer:

Step-by-step explanation:

The missing length is 13 because,

Lets say the top triangle is A and the bottom triangle is B.

Triangle A gives us the side GF, and Triangle B gives us the sides TU and ST. Since the triangles are similar(as stated in the problem), we can pair 2 sides GF(A) and TU(B) which is 11:22.(one way I usually figure which sides are similar is by first- matching the hypotenuse, then checking which of the remaining two is longer.. if that made any sense). You can see that their relationship is x2 or /2 (In another word, from A to B is multiplication- ex: 11 * 2 is 22, and from B to A is division- ex 22/2 is 11.) Since the missing number is the hypotenuse of triangle A and you know the Hypotenuse of triangle B all you have to do is divide side TS by 2 to get side SF. So the missing side is 13.

Answer: 13

Click the photo to solve the photo

Answers

Answer:

A=2

B=4

C=6

D=5

E=7

F=8

G=3

H=1

Step-by-step explanation:

explanation is in the picture!

BRAINLIEST Which equation could be solved using this application of the quadratic formula?



A.
x2 + 1 = 2x − 3
B.
x2 – 2x − 1 = 3
C.
x2 + 2x − 1 = 3
D.
x2 + 2x − 1 = -3

Answers

The quadratic equation that could be solved using the given application of the quadratic formula is x² + 2x - 1 = 3, which in standard form is x² + 2x - 4 = 0. Hence, option C is the right choice.

What is the quadratic formula?

A standard quadratic equation of the form ax² + bx + c = 0, can be solved using the quadratic formula, which is given as:

[tex]x = \frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

How to solve the question?

In the question, we are asked for the quadratic equation, which could be solved using this application of the quadratic formula:

[tex]x = \frac{-2\pm\sqrt{2^2-4(1)(-4)} }{2(1)}[/tex]

To find the quadratic equation for which we use the quadratic formula

[tex]x = \frac{-2\pm\sqrt{2^2-4(1)(-4)} }{2(1)}[/tex]

we compare this equation with the standard quadratic formula,

[tex]x = \frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

to get a = 1, b = 2, and c = -4, to get the standard quadratic equation, ax² + bx + c = 0, as (1)x² + (2)x + (-4) = 0, or x² + 2x - 4 = 0.

Now, we convert the given options in the standard form to check for the correct choice:

A. x² + 1 = 2x - 3 ⇒ x² - 2x + 4 = 0, which is not the correct choice.B . x² - 2x - 1 = 3 ⇒ x² - 2x - 4 = 0, which is not the correct choice.C. x² + 2x - 1 = 3 ⇒ x² + 2x - 4 = 0, which is the correct choice.D. x² + 2x - 1 = -3 ⇒ x² + 2x + 2 = 0, which is not the correct choice.

Thus, the quadratic equation that could be solved using the given application of the quadratic formula is x² + 2x - 1 = 3, which in standard form is x² + 2x - 4 = 0. Hence, option C is the right choice.

Learn more about the quadratic formula at

https://brainly.com/question/1214333

#SPJ2

In a survey of women in a certain country the mean height was 62.9 inches with a standard deviation of 2.81 inches answer the followinv questions about the specified normal distribution

Answers

The question is incomplete. The complete question is :

In a survey of women in a certain country ( ages 20-29), the mean height was 62.9 inches with a standard deviation of 2.81 inches.  Answer the following questions about the specified normal distribution.  (a) What height represents the 99th percentile?  (b) What height represents the first quartile?  (Round to two decimal places as needed)

Solution :

Let the random variable X represents the height of women in a country.

Given :

X is normal with mean, μ = [tex]62.9[/tex] inches and the standard deviation, σ = [tex]2.81[/tex] inches

Let,

[tex]$Z=\frac{X - 62.9}{2.81}$[/tex] , then Z is a standard normal

a). Let the [tex]99th[/tex] percentile is = a

The point a is such that,

[tex]$P(X<a)=0.99$[/tex]

[tex]$P \left( Z < \frac{a-62.9}{2.81} \right) = 0.99$[/tex]

From standard table, we get : [tex]P( Z < 2.3263) =0.99[/tex]

∴ [tex]$\frac{(a-62.9)}{281} = 2.3263$[/tex]

  [tex]$a= (2.3263 \times 2.81 ) +62.9$[/tex]

     = 6.536903 + 62.9

     = 69.436903

     = 69.5 (rounding off)

Therefore, the height represents the [tex]99th[/tex] percentile = 69.5 inches.

b). Let b = height represents the first quartile.

It is given by :

[tex]P( X < b) =0.25[/tex]

[tex]$P \left( Z < \frac{(b-62.9)}{2.81} \right) = 0.25$[/tex]

From the standard normal table,

[tex]P( Z < -0.6745) =0.99[/tex]

∴ [tex]$\frac{(b-62.9)}{2.81}= 0.6745$[/tex]

[tex]$b=(0.6745 \times 2.81) +62.9$[/tex]

  = 1.895345 + 62.9

   = 64.795345

   = 64.8 (rounding off)

Therefore, the height represents the 1st quartile is 64.8 inches.

find the distance of gap d

Answers

Answer:

[tex]\displaystyle d \approx 15.8768[/tex]

Step-by-step explanation:

We want to find the distance of d or AB.

From the right triangle with a 35° angle, we know that:

[tex]\displaystyle \tan 35^\circ = \frac{50}{PB}[/tex]

And from the right triangle with a 42° angle, we know that:

[tex]\displaystyle \tan 42^\circ = \frac{50}{PA}[/tex]

AB is PA subtracted from PB. Thus:

[tex]\displaystyle d = AB = PB - PA[/tex]

From the first two equations, solve for PB and PA:

[tex]\displaystyle \frac{1}{\tan 35^\circ } = \frac{PB}{50} \Rightarrow PB = \frac{50}{\tan 35^\circ}[/tex]

And:

[tex]\displaystyle \frac{1}{\tan 42^\circ } = \frac{PA}{50} \Rightarrow PA = \frac{50}{\tan 42^\circ}[/tex]

Therefore:

[tex]\displaystyle d = AB = \frac{50}{\tan 35^\circ} - \frac{50}{\tan 42^\circ}[/tex]

Using a calculator:

[tex]\displaystyle d= AB \approx 15.8768[/tex]

. Doanh nghiệp dự tính đầu tư góp vốn liên doanh với số tiền ban đầu là 500 trđ, trong vòng 4 năm, lãi suất dự kiến là 12%/năm. Tính tổng số lãi của hoạt động đầu tư liên doanh thu được sau khi kết thúc liên doanh ?

Answers

i dont understand nun of that

what is the value of the smallest of five consecutive integers if the least minus twice the greates equals -3

A. -9
B. -5
C. -3
D. 5

Answers

Answer: (b)

Step-by-step explanation:

Given

There are five consecutive integers and the least minus twice the greatest equals to -3

Suppose [tex]x,x+1,x+2,x+3,x+4[/tex] are the five consecutive integers

According to the question

[tex]\Rightarrow x-2(x+4)=-3\\\Rightarrow x-2x-8=-3\\\Rightarrow -x=8-3\\\Rightarrow x=-5[/tex]

option (b) is correct.

Other Questions
Story of the dog and 2 crow Mr. Grammatica has made a pointed effort to gauge students' prior knowledge of how to calculate percentages. He has had the repeated experience of students holding onto prior schemes despite their inaccuracy. So on the first day of class he passes around a worksheet to gauge their understanding. Which effective strategy of mathematics instruction is Mr. Grammatica focusing on 1. Half the world's rain forests have already been ___________.a. endangered b. eroded c. found d. destroyed2. Try to eliminate fatty foods from your diet.a. limit b. get rid of c. move d. add3. Acid rain has caused severe _______ on the hillside.a. erosion b. pollution c. destruction d. floods4. This channel allows rainwater to run off.a. keep inside b. move around c. flow into d. flow out of5. A large hydroelectric __________was built on the River Danube.a. power b. dam c. bank d. wall6. Water can be held on the land by vegetation.a. plants and trees b. grown trees c. the growth of plantsd. plants used as food 7. _________air makes people unpleasant to breathe.a. Pollute b. Pollution. c. Polluted d. Polluting The graph shows the supply and consumption of forests when theconsumption rate and population growth rate are both low.When does consumption begin to surpass supply? What would it be tho 300 doesnt show up in my options my options are 1/49 -1/49 -49 and 49 The author of the editorial "It's Time for a Nation to Return the Favor" claimsthat New Orleans must be protected from:A. the U.S. Army Corps of Engineers.B. politicians who want to move the city.C. more terrible storms.D. shipping on the Mississippi River. Emily, Yani and Joyce have a total of 3209 stickers. Yani has 2 timesas many stickers as Joyce. Emily has 279 more stickers than Yani. Howmany more stickers does Emily have than Joyce? Just a young gun with a quick fuseI was uptight, wanna let looseI was dreaming of bigger things andWanna leave my own life behindNot a "Yes sir", not a followerFit the box, fit the moldHave a seat in the foyer, take a numberI was lightning before the thunderThunder, thunderThunder, thun-, thunderThun-thun-thunder, thunderThunder, thunder, thun-, thunderThun-thun-thunder, thunderThunder, feel the thunderLightning and the thunderThunder, feel the thunderLightning and the thunderThunder, thunderThunderKids were laughing in my classesWhile I was scheming for the massesWho do you think you are?Dreaming 'bout being a big starYou say you're basic, you say you're easyYou're always riding in the backseatNow I'm smiling from the stage whileYou were clapping in the nosebleedsThunder, thunder, thun-Thunder, thun-thun-thunderThunder, thunderThunder, thun-, thunderThun-thun-thunder, thunderThunder, feel the thunderLightning and the thunderThunder, feel the thunderLightning and the thunderThunderThunder, feel the thunderLightning and the thunderThunderThunder, feel the thunderLightning and the thunder, thunderThunder, feel the thunderLightning and the thunder, thunderThunder, feel the thunderLightning and the thunder, thunderThunder, feel the thunder (feel the)Lightning and the thunder, thunder How does the formation of sea ice impact the density of the surrounding seawater?A. The formation of sea ice removes freshwater, leaving dissolved solids behind and increasing the density of seawater.B. The formation of sea ice removes freshwater, leaving dissolved solids behind and decreasing the density of seawater.C. The formation of sea ice removes freshwater and dissolved solids from seawater, leading to a decrease in density.D. The formation of sea ice removes freshwater and dissolved solids from seawater, leading to an increase in density SAT/ACT What is the solution of 1,200 5(3x + 30) = 600? A 30 B 50 C 150 D 200 E 250 SOMEONE BE SMART AND ANSWER THIS ILL BRAINLIST What is the purpose of government rules and regulations in a mixed economy?A. Rules and regulations ensure that manufacturers follow fair and competitive practices.B. Rules and regulations force manufacturers to agree on interstate taxation and shipping policies.C. Rules and regulations require manufacturers to write guidelines in cooperation with other manufacturers.D. Rules and regulations help manufacturers agree on what percentage of the market they will sell to. I NEEDDD HELPPP ITSSSSSS URGENTTTTT!!! Find the length of x The system of linear equations x y + 2 = 0 and 2x + y -14 = 0 The executives __________ an argument at the present. which of the following cannot be increased by using a machine of some kind? work, force, speed, torque Given 12 consecutive integers, how many ways can three of these integers be selected to give a sum which divides by 4.Disclaimer: A lot of points to be given, Full explanation required. Not only answer. Remember the sum of the number must be divisible by 4. I think modular arithmetic is the way to solve it, but who knows??? Lilian is building a swimming pool in the shape of a right rectangular prism. The area of the base of the swimming pool is 72 square meters. The depth of the swimming pool is 3 meters. What is the volume of the swimming pool? 5) Which two sentences contain a metaphor?A) Janice walked quickly and purposefully toward the ice cream shop.B) The children were a parade of mice moving silently past the sleeping teacher.C) Olivia usually is a rock, but the sudden sound of thunder made her jump.D) We studied for four straight days, and I still didn't feel ready for that test. que es la iniciacin de un cultivo