Find the square root of 1764 using prime factorization with explanation and solution.

Answers

Answer 1

Answer:

42

Step-by-step explanation:

The product of the prime factors of 1764 is

1764 = 2² × 3² × 7² , thus

[tex]\sqrt{1764}[/tex]

= [tex]\sqrt{2^{2}(3^{2} )(7^{2} ) }[/tex]

= [tex]\sqrt{2^{2} }[/tex] × [tex]\sqrt{3^{2} }[/tex] × [tex]\sqrt{7^{2} }[/tex]

= 2 × 3 × 7

= 42


Related Questions

Copy and fill in the charts.

Answers

Answer:

15% = 3/20 = 0.15

1.25 =125% =5/4

12 3/8 = 12.375 = 1237.5%

Step-by-step explanation:

15% to fraction , then decimal ;

[tex]15\% = \frac{15}{100} \\Cross\:cancel\:common\:factor ; 5\\\\15\div 5 = 3\\100\div 5 = 20\\\\= \frac{3}{20}\\\\\frac{3}{20} = 0.15[/tex]

1.25 to fraction , then percentage

[tex]1.25 = \frac{1.25}{1} \times \frac{100}{100} \\\\1.25\times 100 =125\\1\times 100 = 100\\\\= \frac{125}{100} \\= \frac{5}{4} \\\\1.25\times 100\\= 125\%[/tex]

12 3/8 to decimal then percentage

[tex]12\frac{3}{8} =\frac{99}{8} = 12.375\\\\12.375\times 100\\\\= 1237.5\%[/tex]

11> -13+6n Another solve for the inequality ?

Answers

The answer is 4 > n.

24 >6n

4 > n

Answer:

4>n

Step-by-step explanation:

11+13>6n

24>6n

4>n

A grocery store sells a bag of 3 oranges for $2.79. How much would it cost for 4 oranges?

Answers

Answer:

$3.72

Step-by-step explanation:

$2.79 divided by 3 equal 0.93.

0.93 times 4 equals 3.72.

Answer:

$3.72

Step-by-step explanation:

Step 1:

$2.79 ÷ 3 = 0.93

Step 2:

0.93 × 4

Answer:

$3.72

Hope This Helps :)

Find (fog)(x). f(x) = 2x
g(x) = x + 6

write your answer as a polynomial in simplest form.
(f•g)(x)=​

Answers

Answer: (f•g)(x)=​2x²+12x

Step-by-step explanation:

(f•g)(x) is the same as saying f(x)•g(x). Since we have f(x) and g(x), we can just multiply them together.

(f•g)(x)=​2x(x+6)                [distribute by FOIL]

(f•g)(x)=​2x²+12x              

Now, we know that (f•g)(x)=​2x²+12x.

- 32x - 40
What is the first step that I should do

Answers

I take it that you're trying to solve for the variable (x), so by using the order of operations (PEMDAS), the first step is to add 40 to both sides of the equation as addition cancels out subtraction.

[tex] - 32x - 40 = 0[/tex]

[tex] - 32x = 40[/tex]

From there you will divide by -32 and simply the fraction.

[tex]x = - \frac {40}{32} [/tex]

[tex]x = - \frac{5}{4} [/tex]

I hope this helps, but please let me know if this is not what you're trying to do.

1. Which conditional statement has a true truth value? a. If a shape is a quadrilateral, then it is a square. b. If the sum of two numbers is positive, then both the addends are positive. c. If an angle has a measure of 180 degrees, then it is an acute angle. d. If a figure is a square, then it has four sides.

Answers

Answer:

B I believe

Step-by-step explanation:

the graphs show how many words per minute 2 students read

Answers

Answer:

Step-by-step explanation:

first student read 120 words words per minute.

second student read 185 words per minute.

185 word in the right graph
120 word in the left graph

HELP ME PLEASE!

Delbert needs to mix a 20% acid solution with a 50% acid solution to create
100 milliliters of a 26 % solution. How many millileters of each solution must Delbert use?

Answer: Delbert must mix

_____ milliliters of the
20% solution and

_____ milliliters of the 50% solution.

Answers

Answer:

Step-by-step explanation:

26% is (26-20)/(50-20) = 6/30 = 1/5 of the way between 20% and 50%. That means 1/5 of the solution is 50% acid.

50% acid: 1/5 · 100 mL = 20 mL

20% acid: 100 mL -20 mL = 80 mL

Delbert must mix 80 mL of 20% acid and 20 mL of 50% acid.

_____

Maybe you'd like to see an equation. Let x represent the amount of 50% acid required. Then 100-x is the amount of 20% acid needed.  The amount of acid in the mix is ...

  0.50(x) +0.20(100 -x) = 0.26(100)

  (0.50 -0.20)x = (0.26 -0.20)100 . . . . subtract 0.20(100)

  x = (0.26 -0.20)/(0.50 -0.20)×100 = 20

This last expression should look a lot like the one we started with in this answer. It shows you how you can almost write down the answer to mixture problems without a lot of work.

Find the value of each variable (x in this case)

Answers

2x and 4x + 108 are supplementary angles and that means they add up to 180 degrees.

2x + 4x + 108 = 180

Combine like terms

6x + 108 = 180

Subtract 108 from both sides.

6x = 72

Divide both sides by 6

x = 12

Describe the 6 ways to transform a function.

Answers

Translate it up, translate it down, translate it to the right, translate it to the left, stretch it vertically, stretch it horizontally

please solve 6 number​

Answers

Answer:

5

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Here sum = 75, mean = 15 and let n be count, thus

[tex]\frac{75}{n}[/tex] = 15 ( multiply both sides by n )

75 = 15n ( divide both sides by 15 )

5 = n ← number of terms

Answer:

The answer to 6 is 5

Step-by-step explanation:

The formula for the volume of a cylinder is V = 2trh. Solve the formula for h.

Answers

Answer:

V/(2tr)=h

I think, its been a while since i had to do a problem like this

Mr Chan bought 20 computers and 25 printers for $30 000. Each computer costs $1250. At a promotion sale, Mr Chan sold each computer at $1700 with a free printer. The selling price of each printer when sold separately was $250.
Find the cost price of each printer.​

Answers

Answer:

$200.

Step-by-step explanation:

Each computer costed $1,250.

Mr. Chan bought 20 computers.

20 × $1,250 = $25,000

$25,000 out of the $30,000 was spent on computers. That leaves $5,000. Which means $5,000 was spent on the printers.

$5,000 ÷ 25 = $200

(25 = amount of printers.)

So each printer was $200.

Predict how much money can be saved without having a negative actual net income. Monthly Budget Budgeted Amount Actual Amount Income Wages $1025 $675 Expenses Rent Utilities Food Cell Phone Savings $300 $100 $175 $75 $300 $300 $100 $200 $75 $____ Net Income $75 $____ a. It is not possible to save any money this month without having a negative actual net income. b. $350 can be saved resulting in an actual net income of $0. c. $200 can be saved resulting in an actual net income of $75. d. Because there is a $75 budgeted net income, that $75 can be put towards savings.

Answers

Answer:

a. It is not possible to save any money this month without having a negative actual net income.

Step-by-step explanation:

Answer:

Predict how much money can be saved without having a negative actual net income.

a.   It is not possible to save any money this month without having a negative actual net income.<<<---CORRECT

b.   $350 can be saved resulting in an actual net income of $0.

c.   $200 can be saved resulting in an actual net income of $75.

d.   Because there is a $75 budgeted net income, that $75 can be put towards savings.

Step-by-step explanation:

See pic. Edge 2021

Mr. Alfred’s car gets 12 miles per gallon. He drives to West Harlem for a weekend to visit his grandmother. He uses 6 gallons of gas. How many miles did he drive?

Answers

Answer:

72 miles.

Step-by-step explanation:

If he uses 6 gallons of gas, you would do 6 (gallons he used) x 12 (miles per gallon) equaling 72.

if someone weighs five times as much as someone else and the total weight of the two people is 132 pounds how much does each person weight

Answers

Answer:

The heavier person weighs 110 pounds, and the lighter person weighs 22 pounds.

Step-by-step explanation:

Let the weight of the lighter person be 1 unit.

The weight of the heavier person will be [tex]1\times 5=5u[/tex]

Total weight: [tex]1u+5u=6u[/tex]

6 units = 132

Divide 6:

[tex]1u=\frac{132}{6}[/tex]

[tex]1u=22[/tex]

The weight of the lighter person is 22 pounds.

Weight of the heavier person [tex]= 5\times 22=110[/tex]

The weight of the heavier person is 110 pounds.

Step-by-step explanation:

someone= 5x

someone + x= 132

5x + x = 132

6X=132

x=22

One person ("someone") weighs x× 5 = 110.

the other person ("x) weighs x = 22

3. Multiply
(5 points)
O
33
-6
40
O
mo
O

Answers

Answer: -7920

Step-by-step explanation: 33x-6x40= -7920

-7920 is the answer

plz can some answer it will be appreciated ​

Answers

Answer:

22 cm

Step-by-step explanation:

A hexagon has six sides. Since it is a regular hexagon, all of the sides have equal length, so we can multiply the length of one side, 3.6 by 6 to get the perimeter. 3.6 x 6 = 21.6. To the nearest centimeter, the upper bound is 22.

Which decimal is equivalent to 56?

Answers

Answer:

0.56

Step-by-step explanation:

0. 56 i’m pretty sure

Without solving, determine whether the equation has one solution, no solution, or infinitely many solutions. 6x+6=6(x+1)

Answers

Answer:

Infinite Solutions

Step-by-step explanation:

6x+6=6(x+1)

6x+6=6x+6

If both sides of the equations are equal, it will ALWAYS be infinite solutions:)

Answer:

Infinite solutions.

Step-by-step explanation:

You have to distribute the 6 to the x and the 1. You'll then realize that both sides have 6x+6, and since 6x-6x=0 and 6-6=0,  If you solve this your answer would be 0=0 this means the problem has an infinite number of solutions.

write another name for < 5​

Answers

Answer:

less than 5

x < 5

less than five x < 5

Round to the nearest thousandth: 4.3218 →​

Answers

Answer:

4.322

Step-by-step explanation:

You would round up because of 8.

Hope this helps!! :D

Answer:

4.322

Since 8 is greater than 5, you round upwards.

Please Help :)
What is the distance between the points in the image below?

Answers

Answer:

5?

Step-by-step explanation:

You start from negative -1 and you got all the way to 4, so the distance in-between the objects are 5

5 distance between the points

Which is the graph of the inequality: y< (1/2x -2)^3

Answers

Step-by-step explanation:

Rearrange the equation so "y" is on the left and everything else on the right. or below the line for a "less than" (y< or y≤).

ALOT OF POINTSALOT OF POINTS ALOT OF POINTS ALOT OF POINTS ALOT OF POINTS The graph shows the motion of a train on a railroad. Which statement describing the motion of the train is best supported by the graph? Math item stem image CLEAR CHECK The train is traveling on a level surface. The train is moving at a constant positive speed. The train is not moving. The train track is straight.

Answers

Answer:

Step-by-step explanation:

2,3

Answer:

The train is moving at a constant positive speed.

Hope this helped :)

What’s the distance between (6,4) , (-5,-1) round to the nearest ten

Answers

Answer:

The answer is

12.1 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(6,4) and (-5,-1)

The distance between them is

[tex]d = \sqrt{ ({6 + 5})^{2} + ( {4 + 1})^{2} } \\ = \sqrt{ {11}^{2} + {5}^{2} } \\ = \sqrt{121 + 25} \\ = \sqrt{146} \\ \: \: \: \: \: \: \: \: \: \: \: = 12.0830459[/tex]

We have the final answer as

12.1 units to the nearest tenth

Hope this helps

What is an equation of the line that’s passes through the the point (-6,-6) and is parallel to the line x-3y=18

Answers

Answer:

y = 1/3x -4

Step-by-step explanation:

solve x-3y=18 for y

3y=x-18

divided both  by 3 so  y = 1/3x - 6

The parallel line has the same slope so you have to find the y-intercept of the line passing through (-6,-6)

so y = 1/3x -4

Dan earns £400 over the course of a five-day week. How much is that per day?

Answers

Answer:

80

Step-by-step explanation:

Answer:

80 dollars a day

Step-by-step explanation:

400 divided by 5

= 80

hope this helps

You sold 60 units of candy. The amount
you got from seling candy is $210. How
much are you selling candy for?

Answers

Answer:

$3.50

Step-by-step explanation:

Solve for a brainlist
(Goes to first person)

7•3=?

Answers

Answer:

21

Step-by-step explanation:

[tex]7\cdot \:3\\\mathrm{Multiply\:the\:numbers:}\:7\cdot \:3=21\\=21\\[/tex]

Answer:

21

Step-by-step explanation:

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