How to find the smallest integer k such that 60k is a perfect square

Answers

Answer 1

9514 1404 393

Answer:

  k = 15

Step-by-step explanation:

Look for the missing factors that make all of the factors of 60k be squares.

  60 = 2² × 3 × 5

The factors 3 and 5 each have an odd exponent (1), so those two factors must be part of k.

  60k = 2² × 3 × 5 × k

is a perfect square when ...

  3 × 5 = k = 15

For k = 15, 60k = 900 = 30²


Related Questions

The area of a rectangle is given by the tri nominal y^2+4y-45. If the Length of the rectangle is y+9, what is the width of the rectangle

Answers

Answer:

width = y - 5

Step-by-step explanation:

area = y^2 + 4y - 45

(y + 9)(y - 5)

a) 2x – 7x +3y if x= 3, y= -4
b) y + 3xy if x= 7, y= 5
c) 5x3 + 2y2 if x= 2, y =3

Answers

a) 2(3) - 7(3) + 3(-4)
=6 - 21 + (-12)
=-27
b) (5) + 3(7)(5)
=5 + 105
=110
c) is 3 and 2 an exponent? if so
5(2)^3 + 2(3)^2
=40 + 36
=76

A 14
B 8
C 11
D 20
I'm pose to simplify it ​

Answers

try photo math it shows you the answer
Hopes this helps:

Answer: 11

1. Simplify 3^2 to 9.
9 + 1 • 2


2. Simplify 1 • 2 to 2.
9 + 2


3. Simplify.
11


PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ?

Answers

Answer:

C. Alternate Interior angles.

Step-by-step explanation:

Alternate interior angles are inside parallel lines, and on opposite sides of the transversal line that crosses the parallel lines.

It's not A, because corresponding angles are in the same position on parallel lines. Angles 2 & 6 are corresponding angles. It's not B, because the two are not next to each other, forming a straight line. 6&7 are straight angles, and 5&6 are straight angles.

Please help As Soon As Possible

Answers

Answer:

12, sorry if I'm wrong

Step-by-step explanation:

hope it helps

Answer:

Both are correct

Step-by-step explanation:

Tan = Opposite / Adjacent

Tan A = 3/4....... therefore she is correct

Tan C = 4/3........therefore she is also correct

Please mark as brainliest for further answers :)

A. Without using pencil and paper to actually find the products, how will the product of 3 x 10.6 compare to the product of 2.7 x 10.6? Explain your answer.

B. How will the product of 2.7 X 10.6 compare to the product of 3 X 10.6? Explain your answer.


how do i answer these i forgot all this-​

Answers

Answer:

Step-by-step explanation:

in A , because we are multiplying a number by the same number in each case, 10.6  we know, that the 3  as compared to the 2.7 , will make a bigger number 3*10.6  is greater than  2.7 * 10.6    ,  it's just a quick way to make sure our answer is good

in B,  as above, we know that 2.7*10.6 will be less than 3*10.6      see?

PLEASE ANSWER ASAP FOR BRAINELST!!!!!!!!!!!!!!!!!!!!! :D
please show work if you can. thank you in advance! (NO LINKS OR YOU WILL BE REPORTED!!!!)

Answers

Answer:

C.

Step-by-step explanation:

Frosted:

6*6*6+10*10*6

This equals 816

Not frosted:

6*6+10*10

This equals 136

Subtract

816-136= 680 sq inches

Find the slope and y-intercept from the following graph of a linear equation.

Answers

The y intercept is -2

A food truck at the fair had 24 pies to sell. Each pie was cut into pieces and each piece was cut into 1/8 of a pie. How many pieces of pie did the food truck have to sell?

Answers

Answer:

192

Step-by-step explanation:

What is the period of f(x) = sin(x)?
Pi over 2
Pi
3 pi over 2
2 pi

Answers

Answer:

2pi

2pi radians are equal to 360 degrees. After this point, the function f(x) = sin(x) repeats its values again. Each cycle is 2pi radians long.

Step-by-step explanation:

Select all of the solutions to the original equation X=4X equals -16 X equals minus 4X equals 16 X equals minus 8X equals minus 1X equals one X equals eight

Answers

Answer: i don´t know the answer sorry

Step-by-step explanation:

Ben ate 3/8 of a pizza. The remaining fraction of the pizza is ____​

Answers

Answer:

fnndmd

Step-by-step explanation:

cnbbzbznznzxjjdjdjdkkxkxnxndnxnxnxnnxnxjxjxnxkxkxkkxmxmzmzmzmxmxmbald mfmd

how do you do stuff like 20 x 0.4?? i forgot ​

Answers

Answer: the answer is 8.0

Step-by-step explanation: what i do is 20*4 which is 80 and i just add the decimals back in hoped this helped :))

Deena works at a customer service call center. She fields an average of 5 calls per hour. Employees are encouraged to field more
than 200 calls per week Deena has already fielded 75 calls this week.
How many more hours, x, does Deena need to work this week to reach the weekly goal of fielded calls if she continutes to field an
average of 5 calls per hour? Select the inequality that includes the fewest number of hours Deena can work this week and still
reach the weekly goal.

Answers

1. She needs to field 240 calls, but has already done 96. => 240-96=144

2. She fields six calls per hour, and how many hours will it take. This is a hint for division. 144/6=24

3. Therefore, x, where x is the minimum number of hours Deena will need to answer 144 more calls, is at least 144.

4. Answer: c. x>24

No scams. Show your work. write answer as a percent and round the nearest whole number if needed.​

Answers

Answer:

Step-by-step explanation:

we will find the area of the inner circle and then the area of the outer circle and see what the ratio is between those 2

area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]  (where r is the radius, NOT the diameter, easy to confuse)

the radius of the inner circle is 2.5. which  is half of the diameter of 5

inner circle = [tex]\pi[/tex]*(2.5)^2

inner circle =  19.6349...

outer circle = [tex]\pi[/tex]*(10^2)

outer circle = 314.1592...

the ratio is    19.6349... /  314.1592...  = 0.0625

0.0625 = 6.25%

= 6% ( rounded to nearest whole number )

Please help, brainliest for correct answer

Answers

Answer:

800

Step-by-step explanation:

3/4*3.14*(14/2)^3 = 807.77

Answer:

1435.99 rounded.

Step-by-step explanation:

Remark

Just as a note, you would be better off using 22/7 for pi

Formula

V = 4/3 * pi * r^3

Givens

Pi = 3.14

d = 14 units

Solution

r = d / 2

r = 14/2

r = 7

Volume = 4/3 * 3.14 * 7^3

Volume = 1.3333 * 3.14 * 7^3

Volume = 1.3333 * 3.14 * 343

Volume = 1435.99 rounded to the nearest 1/100 th.

HELP NEEDED ASAP WILL GIVE BRAINLIEST.NO TROLLS

Answers

Answer:

what t f do u need?

Step-by-step explanation:

Answer:

WHATS THE QUESTION

Step-by-step explanation:

Find the mean for the scores: 3.850; 5,300: 8,540; 4.300; 5,360. ​

Answers

Answer:5470

Step-by-step explanation:The mean is the average of the data collected in the graph.Step one add everthing together which is 3,850+ 5,300+ 8,540+ 4,300+5,360=27,350, Step two divide 27,350 with the total amount of numbers that's in the graph which is 5 if you divide those two number together you will get on average 5,470.

Distributive property 3x(x - 1)
how do u do this?step by step

Answers

I can’t do this step by step but the answer is 3x^2 -3x

plz help I will give the brainlist David drew this diagram of a picture frame he is going to make. Each square represents 1 square inch. What is the area of the picture​ frame?

Answers

Answer:

32

Step-by-step explanation:

jackson spent 8.55 for 3 bags of chips.how many bags of chips can he got for $30

Answers

Answer:

10

Step-by-step explanation:

Decide whether the integral is improper.
[infinity]
â« ln(x3) dx
0

Answers

Answer:

Yes, It is improper.

Step-by-step explanation:

Your answer is correct. The limits of integration are finite. The integrand is not continuous on [1, ∞). At least one of the limits of integration is not finite. The integrand is continuous on [1, ∞).

Find the exAct length of a line segment whose endpoints are (4,-5) and (6,-2).

Answers

Answer:

Square root of 13

Step-by-step explanation:

distance between two points = under root (x2-x1)^2 + (y2-y1)^2

here, (x1,y1)=(4,-5) & (x2,y2)=(6,-2)

Substitute values and finally you can get it..

Find the missing angle

Answers

Answer:

x+63=90(complementary angle)

x=90-63

x=27

X = 27 both sides need to equal 90 in a angle like this so 27+63=99

A sphere has a radius of 2 m. Calculate its surface area. Round to the nearest whole number
a
b.
50 sq.m
113 sq.m
C.
d.
212 sq.m
103 sq.m
Please select the best answer from the choices provided
A

Answers

Answer:

50 square meters should be your answer

Step-by-step explanation:

The formula of the Surface Area of a sphere is 4πr2 (4*r*squared)

if the radius of the sphere is 2 m, our formula will become 4π(2)[squared]

let us break this down into two pieces:

4π = 12.5663706144

2[squared] = 4

Then when we multiply our answers:

12.5663706144 * 4 = 50.2654824576

since it says to round it to the nearest whole number, we can round this to 50

I HOPE YOU HAVE A WONDERFUL DAY AND GET THIS CORRECT!!!

Please rate and heart if my answer helped you!!!!

C and D are mutually exclusive events. Find P(C or D).
P(C)= 3/7= P(D)= 4/7
P(C or D)

Answers

Answer:

[tex]P(C\ or\ D) = 1[/tex]

Step-by-step explanation:

Given

[tex]P(C) = \frac{3}{7}[/tex]

[tex]P(D) = \frac{4}{7}[/tex]

Required

[tex]P(C\ or\ D)[/tex]

Since the events are mutually exclusive, then:

[tex]P(C\ or\ D) = P(C) + P(D)[/tex]

So, we have:

[tex]P(C\ or\ D) = \frac{3}{7} + \frac{4}{7}[/tex]

Take LCM

[tex]P(C\ or\ D) = \frac{3+4}{7}[/tex]

[tex]P(C\ or\ D) = \frac{7}{7}[/tex]

[tex]P(C\ or\ D) = 1[/tex]

The variables x and y vary inversely, and x = 12 when y = 6. Use the inverse variation formula, k = xy, to
find y when x = 3.

Answers

Answer:

D=24

Step-by-step explanation:

y inversely as x

x=k/y

By cross multiplication

k=xy

k=12*6

k=72

finding y

72=3y

y=24

The value of y given the inverse proportional relationship between the variables is b24.

What is the inverse proportion?

When two variables vary inversely, as one of the variable increases, the other variable decreases.

The equation that represents inverse proportion : x = k / y

where b = constant of proportionality

k = xy

k = 12 x 6 = 72

y = k / x

72 / 3 = 24

To learn more about inverse proportion, please check: https://brainly.com/question/27233899

$? Kim spent 41/100 ​

Answers

Answer:

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used

Step-by-step explanation:

Answer:

$0.27

Step-by-step explanation:

In total, Kim has .68 cents to spend.

She spend .41 cents.

0.68-0.41=0.27

Therefore, Kim has a total of .27 cents left over.

I have the answer for this geometry question just how to I solve it. Quickest and correct and semi-long explanation gets brainliest and 100 points. HURRY PLEASE!!!

Answers

Answer:

75

Step-by-step explanation:

If the area of ABCD is equal to 45, then the perimeter of EFG is equal to x * 1.5 = 45. 45 / 1.5 = 30, so the perimeter of EFG is equal to 30. This means that each side is equal to 10.

The height of the equilateral triangle EFG creates two 30-60-90 triangles, each with a hypotenuse of 10 and a short side equal to 5. We know that the long side of the 30-60-90 triangle (here the height of EFG) is equal to √3 times the short side, or 5√3.

We then apply the formula for the area of a triangle, which is 1/2 * b * h. We get 1/2 * 10 * 5√3 = 5 * 5√3 = 25√3.

In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4.

$1400 is placed in account with an animal interest-rate of 7.25% to the nearest 10th of a year how long will it take for the account value to reach 4600$

Answers

Answer : 17

Explanation
Other Questions
What is (3x^3 2x^2 +6x1) subtracted from the sumof (2x^3 3x+2) and (5x^2 +4x6)? What does a standard deviation of 2.0 mean? Read the excerpt.People who think clearly would never vote against year-round school. The only people arguing against it selfishly want to take long summer vacations. Year-round school will instead address the very serious problem of students falling behind in school during the summer. Teachers will waste less time reteaching what students learned the year before. Shorter but more frequent breaks will give students the time off they need and teachers time to plan. There are really no downsides. What bias is most evident about year-round school in this excerpt?The author thinks that year-round school is unfair to teachers, not students. The author believes that year-round school will benefit teachers and students. The author thinks that year-round school will provide more breaks. The author believesthat year-round school causes time to be wasted. Which solution will freeze at the lowest temperature? Which of the following statements is true regarding Laura, an individual taxpayer who dies in 2022 with a gross estate of $10,000,000? What was wrong with Executive Order 9066? I NEED HELP ASAP!!! Imagine that you are the lead advertiser for a fashion company. Describe an advertisement or advertising campaign you would create in an effort to attract consumers and sales. Make sure to identify at least FOUR practices you would use in the ads or ad campaigns to ensure that they were successful. Name a country that has an isthmus located within its borders What kinds of cases do the district courts hear ? Why was the 18th century called the Age of Reason? What was one of the duties of the Freedmen's Bureau following the Civil War? What are the exact solutions of x2 4 7x 1 point X X X X? Was the Roosevelt Corollary successful? How do you graph inequalities on a calculator? a positive point charge q is released from rest at point x. if the magnitude of the electric field at point x is e, what is the kinetic energy of the charge at point y? (a) (b) (c) (d) (e) qed 2qed 2qed 2 2qed 4qed which feature of romanesque architecture is present in this image? large exterior windows numerous windows sense of visual lightness rounded arches save A supply curve slopes upward because O the quantity supplied of most goods and services increases over time. O an increase in price gives producers an incentive to supply a larger quantity. O as more is produced, total cost of production falls. O an increase in input prices increases supply Consider the spreadsheet below. You are to determine how many products have a unit price that is less than $50 and also have a quantity greater than 3. Which of the following Excel formulas will give the correct result? O =COUNTIF(B2:B12,AND("3")) O =COUNTIF(B2:B12,"3") O =COUNTIFS(B2:B12,"3") O =COUNTIF(B2:B12,"3") Which is the coefficient form of X 1 *? How many terms are there in the following expression 7x 5x 5 *?