find the least perfect square that is exactly divisible by each of the numbers 5 , 18 , 25 and 27 . ​

Answers

Answer 1
☂︎ Answer :-

8100 ☂︎ Solution :-

LCM of 5 , 18 , 25 and 27 = 2 × 3³ × 5²2 and 3 have odd powers . To get a perfect square, we need to make the powers of 2 and 3 even . The powers of 5 is already even .

In other words , the LCM of 5 , 18 , 25 and 27 can be made a perfect square if it is multiplied by 2 × 3 .

The least perfect square greater that the LCM ,

☞︎︎︎ 2 × 3³ × 5² × 2 × 3

☞︎︎︎ 2² × 3⁴ × 5²

☞︎︎︎ 4 × 81 × 85

☞︎︎︎ 100 × 81

☞︎︎︎ 8100

8100 is the least perfect square which is exactly divisible by each of the numbers 5 , 18 , 25 , 27 .


Related Questions

3.5 is the number in parentheses!
Show all work
Explain♥️

Answers

[tex]\begin{cases} f(x)=x^2\\ g(x)=x-3 \end{cases}\qquad \qquad (g\circ f)(x)\implies g(~~ f(x)~~) \\\\[-0.35em] ~\dotfill\\\\ f(3.5)=(3.5)^2\implies f(3.5)=12.25 \\\\\\ g(~~ f(3.5)~~)\implies g(~~ 12.25~~)=(12.25)-3\implies \stackrel{(g\circ f)(3.5)}{g(~~ 12.25~~)}=9.25[/tex]

If you travel 60 feet in 4 seconds, how fast are you going in yards per minute?

Answers

Answer:

approximately 300 yards per minute

Step-by-step explanation:

The polynomial of degree 3 , P ( x ) , has a root of multiplicity 2 at x = 1 and a root of multiplicity 1 at x = − 2 . The y -intercept is y = − 0.2 .

Answers

Answer:

The polynomial of degree 3 ,P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1 at x=−1. The y-intercept is y=−0.2

Find the area of the figure.

Answers

Answer:

Explanation:

So you want to start by finding the area of the big square.

We know the width to the big square is 60cm. The length to the big square is

19

+

24

+

13

=

56

Big square

A

r

e

a

=

L

W

=

56

60

=

3360

Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.

Little square

A

r

e

a

=

L

W

=

24

34

=

816

The area enclosed is the area of the big square minus the area of the little square.

3360

816

=

2544

So the area enclosed is

2544

c

m

2

Step-by-step explanation:

What’s 9+10 equal to???

Answers

Answer:

19

Step-by-step explanation:

9+10=19

11+8=19

Hope it Helps


19

10+9=19





have an amazing day

A right triangle has side lengths 3, 4, and 5 as shown below.
Use these lengths to flnd sinX, tanX, and cosX.

Answers

Answer:

See below

Step-by-step explanation:

Remember    S-O-H-C-A-H-T-O-A

   Sin = Opp / Hyp

    Cos = Adjacent  / Hyp

      Tan =Opp / Adj

You didn't say WHICH angle is X  , so you will have to finish this !

Find the mean absolute deviation for each data set.
1. The number of kittens in 10 litters: 4, 5, 5, 6, 6, 7, 8, 8, 8, and 9
Med


Answers

Answer:

The mean is 6. When you add all the numbers you get 66 and then youre suppose to divide 66 by 10 in order to get the mean which is 6.

Step-by-step explanation:

4 + 5 + 5 + 6 + 6 + 7 + 8 + 8 + 8 + 9 = 66

66 ÷ 10 = 6

Find the perimeter of the figure below. Notice that one side length is not given.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.

Answers

Answer:

52 cm

Step-by-step explanation:

The only tricky part is getting the not measured side. However, you have a portion of it. 16-11=5, and that is the missing side. Then just add everything together.

Help help help math math math

Answers

Answer:

Equation of straight line is y=Mx+X

or, y-7=-1/5x(x-(-1)

Hence y-7=-1/5x(x-(-1) is the required equation.

Answer:

ok i heres the answer

Step-by-step explanation:

there you go have a nice day

∠A and \angle B∠B are complementary angles. If m\angle A=(x+10)^{\circ}∠A=(x+10)

and m\angle B=(3x+28)^{\circ}∠B=(3x+28)

, then find the measure of \angle B∠B.

Answers

Answer:

67

Step-by-step explanation:

Complementary angles add to 90 degrees

<A + <B = 90

x+10  + 3x+28 = 90

Combine like terms

4x+38 =90

Subtract 38 from each side

4x+38-38 = 90-38

4x = 52

Divide by 4

4x/4 = 52/4

x = 13

We want to find <B

<B = 3x+28

   = 3(13) +28

   = 39+28

  =67

The speed of the jet Alyssa flew on from Boston to London was 480
mph. On her return flight, the speed of the jet was 600 mph with a tail
wind. What was Alyssa's average speed on the round trip? Round your
answer to one decimal place.

Answers

Answer:

540 Mies per hour

Step-by-step explanation:

add 600 and 480 then divide by 2

Alyssa's average speed on the round trip is 540 Mies per hour.

We have given,

The speed of the jet Alyssa flew on from Boston to London was 480

mph.

On her return flight, the speed of the jet was 600 mph with a tail

wind.

What is the average speed?

[tex]average speed=\frac{a+b}{2}[/tex]

a=inital speed

b=final speed

add 600 and 480 then divide by 2

That can be given by

[tex]=\frac{600+480}{2}\\\\=\frac{1080}{2}\\\\=540[/tex]

Alyssa's average speed on the round trip is 540mph.

To learn more about the average speed visit:

https://brainly.com/question/4931057

Find the slope of the line shown in the graph below.

Answers

Answer: The slope is 1

Step-by-step explanation:

We can see that between the two points it goes up 2 units (rise) and right 2 units (run).

Since slope is [tex]\frac{rise}{run}[/tex] we can sub in the values to find the answer

[tex]\frac{rise}{run}=\frac{2}{2} =1[/tex]


helps pls with this math problems . I’ll give Brainly

Answers

The entrance fee is d dollars, and the meal ticket is $4 less than the entrance fee -> Each meal ticket is d - 4

So, the total amount that the friends pay is 5(d-4)

Whoever gets the Question right and first gets 15 points
(275x523)+19x34/3=?

Answers

Answer:

144040.3333

Step-by-step explanation:

275*523 = 143825

19x34/3 = 215.3333333

so add them up to get 144040.3333

Answer:

144040.333333

Step-by-step explanation:

start with parenthesis (275x523)

This would get you, 143825.

Next, you would do, (19x34/3)

That would get you, 215.333333333.

Finally, you would add the two numbers together and get a product of 144040.333333.

ANSWERS FOR THESE!!!

Answers

Answer:

Question 23) 12 x 6√3 = 72√3

Question 24) 672 cm³

Image is attached. Will give brainliest.

Answers

Answer:

outside the circle

sorry if I'm wrong

given f (x)=x-4/x^2+13x+36 which of the following is true

Answers

The function [tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex] is a rational function

The simplified expression of the function [tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex] is [tex]f(x) =\frac{x - 4}{(x + 9)(x + 4)}[/tex]

How to simplify the function?

The function expression is given as:

f(x) =x - 4/x^2 + 13x + 36

Rewrite properly as:

[tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex]

Expand the denominator

[tex]f(x) =\frac{x - 4}{x^2 + 4x + 9x + 36}[/tex]

Factorize the denominator

[tex]f(x) =\frac{x - 4}{x(x + 4) + 9(x + 4)}[/tex]

Factor out x + 9

[tex]f(x) =\frac{x - 4}{(x + 9)(x + 4)}[/tex]

Hence, the simplified expression of the function [tex]f(x) =\frac{x - 4}{x^2 + 13x + 36}[/tex] is

[tex]f(x) =\frac{x - 4}{(x + 9)(x + 4)}[/tex]

Read more about rational functions at:

https://brainly.com/question/1851758

Answer: f(x) is increasing for all x > -4

Proof of validity is shown below.

Hello can someone help me out please

Answers

Answer:

The answers are: 35 hot dogs & 52 sodas.

Solve the equation for x.
-2x = 14
-
Enter the number that belongs in the green box.
x = [?]
Enter
I

Answers

Answer:

[tex]\displaystyle -7[/tex]

Explanation:

[tex]\displaystyle \boxed{-7} = \frac{14}{-2}[/tex]

I am joyous to assist you at any time.

Answer:

[tex]\boxed{\sf{x=-7}}[/tex]

Step-by-step explanation:

To solve this problem, you have to find the value of x to isolate it on one side of the equation.

-2x=14

First, you divide by -2 from both sides.

-2x/-2=14/-2

Solve.

Divide these numbers from left to right.

14/-2=-7

x=-7

Therefore, the final answer is x=-7.

Which proportion could you use to convert 5 gallons to quarts?
Convert.
5gallons=
quarts

Answers

1 gallon is equal to 4 quarts, so there are 20 quarts in a gallon

please help me with this one

Answers

Answer:

36 km^2

Step-by-step explanation:

We will use the way to find the area of trapezoids which is b+b/2 *h and that is 3+5/2 * 9 so 8/2 is 4 and 4*9=36

Use the quadratic formula to solve the equation 9 x 2 + 30 x + 50 = 0 .

Answers

Answer:

I did how you told us to do it and I came up with 98 im not sure if that the right answer but I try to help

The original blueprint of a concrete patio has a scale of 2 inches =3 feet
Victoria want to make a new blueprint of the patio with a length of 16.8 inches

Answers

Scale of the new blueprint: 2 inches = 2.5 feet (or 4 inches = 5 feet)

Width of the new blueprint: 14.4 inches

Compute the flux of the vector field F = xy, 5yz, 6zx through the portion of the plane 3x + 2y + z = 6 in the first octant with the downward orientation.

Answers

The plane has intercepts

y = z = 0   ⇒   3x = 6   ⇒   x = 2

x = z = 0   ⇒   2y = 6   ⇒   y = 3

x = y = 0   ⇒   z = 6

and thus passes through the points (2, 0, 0), (0, 3, 0), and (0, 0, 6).

Parameterize the portion of the plane (call it P) by the vector function,

[tex]\vec r(s,t) = \left\langle 2(1-s)(1-t), 3s(1-t), 6t \right\rangle[/tex]

where 0 ≤ s ≤ 1 and 0 ≤ t ≤ 1.

Compute the normal vector to P :

[tex]\vec n = \dfrac{\partial \vec r}{\partial t} \times \dfrac{\partial \vec r}{\partial s} = -\left\langle 18-18t, 12-12t, 6-6t \right\rangle[/tex]

Then the flux of F through P is given by the surface integral,

[tex]\displaystyle \iint_P \vec F \cdot d\vec S = \int_0^1 \int_0^1 \left\langle 6s(1-s)(1-t)^2, 90st(1-t), 72t(1-s)(1-t) \right\rangle \cdot \vec n \, ds \, dt \\\\ = - \int_0^1 \int_0^1 \left(108(t-1)^3 s^2 + 108(t-1)^2(5t+1) s + 432t(t-1)^2\right) \, ds \, dt \\\\ = - \int_0^1 18(t-1)^2(41t+1) \, dt \\\\ = \boxed{-\frac{135}2}[/tex]

aitlyn has $2500 in a saving account.
She collects 3% annual simple interest.
How many years will it take to collect
$150 in interest?

Answers

Answer:

2 years

Step-by-step explanation:

The interest amount per year is

3% of $2500 = 3*2500/100 = 75

Number of years is

150/75 = 2

Answer:

2 years

Step-by-step explanation:

Simple Interest Formula

I = Prt

where:

I = total interest earnedP = principalr = interest rate (in decimal form)t = time (in years)

Given:

P = $2500r = 3% = 0.03I = $150

Substitute the given values into the formula and solve for t:

⇒ 150 = 2500(0.03)t

⇒ 150 = 75t

⇒ t = 150 ÷ 75

⇒ t = 2

Therefore, it will take 2 years to collect $150 in interest.

what is the answer to this? ​

Answers

Answer:

the answer is c

Step-by-step explanation:

its c i dont know what the words say tho i need to read what it say first.

Write the pair of fractions as a pair of fractions with a common denominator.
1/3 and 3/8

Answers

Answer: 3/24, simplified 1/8

Explanation: 1/3 x 3/8 = 3/24
3/24 divided by 3 equals 1/8

A roller coaster's height is given by the equation h = -0.067t^2 + 7t + 50, where t represents the time in seconds. How long will it take riders to pass over the hill and reach ground level? Hint: Set h = 0

A. 13.40 seconds
B. 50.07 seconds
C. 52.24 seconds
D. 111.19 seconds

Answers

The time it take riders to pass over the hill and reach ground level is 111.19seconds

Functions and values

Given the roller coaster's height expressed by the function below;

h = -0.067t^2 + 7t + 50

where

t is the time in seconds

The driver will hit the ground at the point where h = 0

Substitute

-0.067t^2 + 7t + 50 = 0

Multiply through  by -1
0.067t^2 - 7t +-50 = 0

Factorize

On factorizing, the positive value of "t" is 111.19 seconds

Hene the time it take riders to pass over the hill and reach ground level is 111.19seconds

Learn more on functions here: https://brainly.com/question/25638609

Answer:

D) 111.19

Step-by-step explanation:

Step 1:

set h = 0

0 = -0.067t^2 + 7t + 50

Step 2:

multiply by -1

0 = 0.067t^2 - 7t - 50

Step 3:

My way may differ than your way but my is plug in all answer choices as t. If the answer choice equal to 0 meaning the answer.

A choice

0 = 0.067(13.40)^2 - 7(13.40) - 50

0 = 12.03 - 94.5 -50

0 = - 132.47

It doesn't equal to 0 meaning this choice is wrong answer

B choice

0 = 0.067(50.07)^2 - 7(50.07) - 50

0 = 167.96 - 350.49 - 50

0 = - 232.53

It doesn't equal to 0 meaning this choice is wrong answer

C choice

0 = 0.067(52.24)^2 - 7(52.24) - 50

0 = 182.84 - 365.68 - 50

0 =  - 232.84

It doesn't equal to 0 meaning this choice is wrong answer

D choice

0 = 0.067(111.19)^2 - 7(111.19) - 50

0 = 828.33 - 778.33 - 50

0 = 0

It does equal to 0 meaning this choice is right answer

The answer is D) 111.19

Pls give me brainiest (I worked hard for this)

URGENT HELP 20 POINTS

Answers

I think E? (I’m sorry if I’m wrong, I’m still trying)

Answer:

[tex]ab( {a} ^{2} + {b)}^{2} \\ [/tex]

[tex] {a}^{ 3} b + a {b}^{3} [/tex]

can someone help me out with khan?

Answers

the answer is 10 . hope this is right
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