which expression is equivalent to the given expression square root of 45

Answers

Answer 1

Answer:

[tex]3 \sqrt{5} [/tex]

Step-by-step explanation:

Solve using Surd

[tex] \sqrt{45} = \sqrt{9 \times 5} \\ = \sqrt{ {3}^{2} \times 5 } \\ = 3\sqrt{5} [/tex]

Answer 2

The expression 3√5 will be equivalent to a square root of 45.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the expression √(45)

⇒ √(9×5)

⇒ √(3²×5)

⇒ √(3²)√(5)

Since the square root of a square is the same number

So,

⇒ 3√5

Hence "The expression 3√5 will be equivalent to a square root of 45".

To learn more about the arithmetic operators,

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Related Questions

7.6g of sugar is needed for every cake made. How much sugar is needed for 10 cakes?

Answers

Answer:76

Step-by-step explanation: The answer is 76 because if you multiply 7.6 by 10 you shall receive 76 cakes.

25 POINTS!!!!! A cruise ship travels at a bearing of N35°E at 18 mph for 3 hours and changes course to a bearing of S66°E. It then travels 15 mph for 2 hours. Find the distance the ship is from its original position. Round your answer to the nearest hundredth.

Answers

Answer:

66.59 is the answer

Answer:

66.95

Step-by-step explanation:

Answer is 66.95

what is the area of a pizza with a 9 inch radius?

Answers

Answer:

254.47

Step-by-step explanation:

A=πr2=π·92≈254.469

22. y =x-v over b solve for x

Answers

Answer:

See Below

Step-by-step explanation:

y = [tex]\frac{x-v}{b}[/tex]

Isolate x

First step, multiply both sides by b to get rid of fraction

y(b) = x - v

+v          +v

y(b) +v = x

Hope this helps!=)

please help me i am so lost

Answers

The Answer is 14175
When it’s Area you multiply the numbers
I hope this helps

Pls help I don’t understand the question

Answers

Answer:It suggests that readers have fun exploring poetry

HOPE IT HELPS:)

Find the volume of the sphere. Use 3.14 for it. Round to the tenths if necessary. Don't forget to include your
label in the answer. Use ^ to show an exponent.

Answers

Hey there! I'm happy to help!

First let's find the radius. The radius is half of the diameter.

9/2=4.5

Here's how to find the volume of any sphere.

You cube the radius.

4.5³=91.125

You multiply by 3.14

91.125(3.14)=286.1325

And finally we multiply by 4/3.

286.1325(4/3)=381.51

We round to the nearest tenth, giving us a volume of 381.5 in^3.

Have a wonderful day! :D

9 in = 3 in

v = 3,14x 3 x 3

= 28,26

answerers about Caca Andika from Indonesia

I have a math test coming up and this geometry stuff is just always confusing me. With that said if you could explain your answer that would be wonderful.
Please make sure to include each step you took!!!
If the image is to blurry please just click on the image it is much easier to read.
I am willing to mark a person branliest!

All help is very appreciated. Good Luck. God Bless. Stay Safe. Thanks Max Larson

Answers

Answer:

a = 1

Step-by-step explanation:

Step 1: Write equation

a - 2(4 - a) = 7a - 12

Step 2: Solve for a

Distribute -2: a - 8 + 2a = 7a - 12

Combine like terms: 3a - 8 = 7a - 12

Subtract 3a on both sides: -8 = 4a - 12

Add 12 on both sides: 4 = 4a

Divide both sides by 4: a = 1

Step 3: Check

Plug in x to verify if it's a solution.

1 - 2(4 - 1) = 7(1) - 12

1 - 2(3) = 7 - 12

1 - 6 = -5

-5 = -5

Answer:

a = 1

Step-by-step explanation:

equation given:   a - 2(4 - a) = 7a - 12

distribute and expand the equation

a - 8 + 2a = 7a - 12

combine similar terms:

a + 2a - 7a = -12 + 8

simplify:

-4a = -4

a = -4 / -4

a = 1

proof that a = 1

a - 2(4 - a) = 7a - 12

1 - 2(4 - 1) = 7(1) - 12

1 - 2(3) = 7 - 12

1 - 6 = -5

-5 = -5  therefore, the a = 1 is correct.

Find two consecutive odd integers such that seven times the first equals five times the second.

Answers

Answer:

Odd integers are always one more that an even integer:

1st: 2n+1

2nd: 2n+3

Step-by-step explanation:

14n+7 = 10n+15

4n = 8

n = 2

------------

1st: 2n+1 = 5

2nd: 2n+3 = 7

7x=5*(x+2)

7x=5x+10

7x-5x=10

2x=10

x=5

5 and 7 are the two consecutive odd integers such that seven times the first equals five times the second.

What are Integers?

Integers are the numbers consisting of whole numbers and the negatives of natural numbers.

Let 2n + 1 and 2n + 3 be the two consecutive odd integers.

We have the relation seven times the first integer equals five times the second.

7 (2n + 1) = 5 (2n + 3)

By distributive property,

(7 × 2n)  + (7 × 1) = (5 × 2n) + (5 × 3)

14n + 7 = 10n + 15

Taking the terms containing unknowns on one side and constants on other side,

14n - 10n = 15 - 7

4n = 8

n = 8 / 4

n = 2

So the first number = 2n + 1 = (2 × 2) + 1 = 5

and the second number = 2n + 3 = (2 × 2) + 3 = 7

Hence the two consecutive odd integers such that seven times the first equals five times the second is 5 and 7.

To learn more about Integers, click :

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The ordered pair (1,0) is a solution to the inequality y Please select the best answer from the choices provided
T
F

Answers

Ffffffffffffffffffffffffffffffffffffffffff

jessica increases the temperature of a block of ice by 20º. Which integer represents the amount by which Jessica must change the temperature for the block of ice to return to its starting temperature?

Answers

Answer:

-20

Step-by-step explanation:

Answer:

it is -20

Step-by-step explanation:

whats the answer
f(-3)= -3^2+1

Answers

The answer to f(-3)= -3^2+1 is 10 !!

Answer: 10

STEP BY STEP STEP BY STEP BY STEP

please help!

4^x*5^y=20, 4^y*5^x=20^2, x+y=?​

Answers

Answer:

x + y are either 2 or 4

Step-by-step explanation:

conclusion x + y = 2 OR 4


[tex] \frac{ - 4}{5} + - 31 \times \frac{3}{5} [/tex]
help​

Answers

Hey there!

ANSWER: [tex]\frac{-97}{5}[/tex]EXPLANATION:

[tex]\frac{-4}{5}+-31*\frac{3}{5}[/tex]

Keep denominator same and add parenthesis to 3/5.

[tex]\frac{-4}{5}+-31*(\frac{3}{5})[/tex]

Here is your answer.

[tex]\frac{-97}{5} (ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

15 divided by 266 I need R

Answers

Answer:

Step-by-step explanation:

You could use a calculator or you could perform long division to find the remainder of 15/266.  There is no integer quotient, other than 0 (zero).  That means 15 is the remainder.

Supposing you were dealing with 266/15 (which is really a different problem).  This division produces an integer quotient and a remainder:

266

------- = 17 r. 11

 15

Double-check to ensure that you've copied this problem down correctly.

If the average baby blue whale grows at a rate of 1.5 inches a day, how many days does a baby whale grow to reach 47.075 inches? (Round to the nearest hundredth of a day)

Answers

x = # of days.

1.5x = 47.075

Divide both sides by 1.5

x = 31.38 days

how many micrograms are in 0.23 kg?

Answers

230000000 micrograms in 0.23 kg.

Which of the statements describes a situation which models growth or decay by an equal factor over equal
intervals?
O
A. A water tank is filled at a rate of 2 gallons per minute.
B. A vine grows 6 inches every week.
o
C. A species of fly doubles its population every month during the summer.
D. A car increases its distance from a garage as it travels at a constant speed of 25 miles per hour.

Answers

Answer:

The statement that describes a situation that can be modeled as a growth or decay over equal interval is;

C. A species of fly doubles its population every month during the summer

Step-by-step explanation:

We have for exponential growth or decay, the following equation;

Exponential growth or decay;

[tex]y = a \cdot b^t[/tex]

Where;

a = The initial amount of the item

1 + r =  The rate of growth in percentage

b = The growth or decay factor

t = The time

For exponential decay, we have;

0 < b < 1

b = 1 - r

[tex]y = a \cdot(1 - r)^t[/tex]

For exponential growth, we have;

b > 1

b = 1 + r

[tex]y = a \cdot(1 + r)^t[/tex]

Therefore, given that the number of the fly population doubles every month, we have the growth rate, r as 100%, which is written as 100/100 = 1, to give;

[tex]y = a \cdot(1 + 1)^t = a \cdot(2)^t[/tex]

Which is expressed as an exponential growth by an equal factor of, r, over equal intervals of, t, time.

Natalie is in the business of manufacturing phones. She pays a cost of $50 per
phone produced for materials and labor and also must pay a daily fixed cost
of $900 to rent the building and equipment. Make a table of values and then
write an equation for C, in terms of p, representing total cost, in dollars, of
producing p phones in a given day.

Answers

Answer:

  C = 50p +900

Step-by-step explanation:

Table: (phones, cost) = (0, 900), (1, 950), (2, 1000).

Equation: C = 900 +50p

__

The fixed cost (900) is the "y-intercept" of the equation in slope-intercept form. The cost per phone (50) is the "rate of change" or slope.

Do two points always, sometimes, or never determine a line? Explain.

Answers

Answer: sometimes

explanation:

if there are two points then there could be a line to connect them, however, there could always be two points that are separate on their own.

Answer:

Always

Step-by-step explanation:

If 2 distinct points lie on the plane then it determines the line. You can also verify if you can find the slope, with these 2 coordinate points, and then find the equation of the line but using point slop form and/or slope intercept form which is y=mx+b

Can someone help me with Case 4?

Answers

Answer:

I think it is 2.94 cm

Answer:

7.4676

Step-by-step explanation:

19.88-16.94=2.94 then convert it to cm 7.4676

Math which one is right? Giving brainlist

Answers

Answer:

Third option.

Step-by-step explanation:

[tex]5-2\left(3x-9\right)=-1[/tex]

Use the distributive law: [tex]a(b-c)=ab-ac[/tex]

[tex]5-2\times3x-\left(-2\right)\times9=-1[/tex]

Double negative = Positive

[tex]5-6x+18=-1[/tex]

4-7x=1-6x can someone please solve and show the work :)

Answers

Answer:

x = 3

Step-by-step explanation:

Simplifying

4 + -7x = 1 + -6x

Solving

4 + -7x = 1 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.

4 + -7x + 6x = 1 + -6x + 6x

Combine like terms: -7x + 6x = -1x

4 + -1x = 1 + -6x + 6x

Combine like terms: -6x + 6x = 0

4 + -1x = 1 + 0

4 + -1x = 1

Add '-4' to each side of the equation.

4 + -4 + -1x = 1 + -4

Combine like terms: 4 + -4 = 0

0 + -1x = 1 + -4

-1x = 1 + -4

Combine like terms: 1 + -4 = -3

-1x = -3

Divide each side by '-1'.

x = 3

Simplifying

x = 3

If she does not make any deposits or withdrawals, what will be the balance in her
account after 2 days?

Answers

Answer:

the same as its been for 2 days

Step-by-step explanation:

can you help please :)

Answers

Answer:

36 miles per gallon of gas

Step-by-step explanation:

Answer:

36 miles per gallon

Step-by-step explanation:

if she drove 216 miles and used 6 gallons of gas then you would divide 216/6=36. so the answer is 36 miles per gallon

What is the value of y in the equation 2(3y + 6 + 3) = 196 − 16?

27
29
30
33

Answers

The value of y is 27. (first option.)

isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

27

Step-by-step explanation:

2(3y + 6 +3)

2(9 + 3y)

18 + 6y

18 + 6y = 196 -16

6y =196 -16 -18  

6y = 162

162 divided by 6 = 27

y =27

“If it is July then it is summer, and it is not July therefore it is not summer” Is this reasoning valid? Why or why not?

Answers

Answer:

No

Step-by-step explanation:

Summer starts in June and ends in August, so this is not valid.

Bam

3<6c+13<5 (Enter your answer in INTERVAL notation, using U to indicate a union of intervals; or enter DNE if no solution exists)

Answers

Answer:

  (-5/3, -4/3)

Step-by-step explanation:

  3 < 6c +13 < 5 . . . . given

  -10 < 6c < -8 . . . . . subtract 13

  -10/6 < c < -8/6 . . . divide by 6

We can express the interval using reduced fractions as ...

  (-5/3, -4/3)


[tex]8 + 3 \times 4[/tex]
idk the answer

Answers

Answer:

20 is correct answer

Step-by-step explanation:

8+3×4

=8+12

=20

Remember always follow bodmas rule

hope it helped you:)

thanks!

Answer :

20

Just apply BODMAS rule and your good

Hope it helps

The product of 7 and j is 91

Answers

Answer:

j = 13

Step-by-step explanation:

7×j = 91

j = 91 : 7

j = 13

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