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3 years ago

Simplify. Assume that all variables represent positive real numbers. sqrt[45][x]^[7][y]^[8]

Mathematics

2 answers:

Lisa [10]3 years ago

4 0

Answer:

3 x^3 y^4 sqrt(5x)

Step-by-step explanation:

sqrt(45x^7y^8)

We know that sqrt(ab) = sqrt(a)sqrt(b)

sqrt(45)sqrt(x^7) sqrt(y^8)

sqrt(9*5) sqrt(x^2 *x^2 * x^2* x) sqrt(y^2 *y^2 *y^2 *y^2)

We know that sqrt(ab) = sqrt(a)sqrt(b)

sqrt(9)sqrt(5) sqrt(x^2)sqrt(x^2) sqrt(x^2) sqrt(x) sqrt(y^2)sqrt(y^2)sqrt(y^2)sqrt(y^2)

3 sqrt(5) x*x*x sqrt(x) y*y*y*y

3 x^3 y^4 sqrt(5)sqrt(x)

3 x^3 y^4 sqrt(5x)

AVprozaik [17]3 years ago

3 0

Answer:

3 x^3 * y^4*√(5x)

Step-by-step explanation:

Factor

45: 3 * 3 * 5

y^8 = y * y * y * y *y * y * y * y

x^7 = x *x *x *x *x *x *x

Now underline every pair.

Rule: for every pair, take 1 outside the square root sign and throw the other one away. If any of the bases are left over, leave them under the square root sign.

3 * y * y * y * y * x * x * x * √ (5 * y)

Answer: 3 x^3 * y^4*√(5x)

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Which angles below are complementary?

tigry1 [53]

9514 1404 393

Answer:

∠KXN and ∠QXT

Step-by-step explanation:

The measure of each angle is the difference of the scale values that the rays intercept. (The same scale needs to be used for each ray.) Of course, complementary angles have a sum of 90°.

Here, we'll refer to angle aXb as "ab".

NP = 95 -35 = 60

PQ = 35 -20 = 15 . . . not complementary to NP

KN = 165 -95 = 70

QT = 20 -0 = 20 . . . complementary to KN ⇒ your answer

JK = 180 -165 = 15

PQ = 35 -20 = 15 . . . not complementary to JK

JK = 15

NK = KN = 70 . . . not complementary to JK

6 0

3 years ago

Simplify the following expression. -14x^2+9x-4x^2+5

Naya [18.7K]

Answer:

i think the answer is -18x^(2)+9x+5

-18x^(2)+9x+5

Subtract 4x^2 from −14x^2

3 0

3 years ago

Given that 5W = 2P + 3R find the value of P when W = 4 and R = −4

Olenka [21]

Answer:

P = 16

Step-by-step explanation:

Given

5W = 2P + 3R ← substitute W = 4 and R = - 4 into the equation

5(4) = 2P + 3(- 4), that is

20 = 2P - 12 ( add 12 to both sides )

32 = 2P ( divide both sides by 2 )

16 = P

5 0

3 years ago

What is 250/363 in its simplest form

zaharov [31]

You find the GCF of 250 and 363 by factoring. 250 = 5^4 * 2. 363 = 3 * 11^2, and they have no common factors, so 250/363 is already in its simplest form!

8 0

3 years ago

SOLVE

Ber [7]

Answer:

Step-by-step explanation:

Numer 1: The answer to this problem is 4 pounds

Numer 2: 13 cups

Explanation:

Four jars of sauce with 26 oz would be a total of 104 ounces

4 x 26 = 104

1 cup contains 8 ounces.

104 oz x $\frac{1cps}{8oz}$ =13 cups

Numer 3: Since, 1 quartz = 33.307 ounces ( approx )

⇒ 3 quartz = 99.921 ounces

If the total number of players = 16,

And, the given fluid is divided equally among these players,

Then the total quantity of fluid each player get

$\frac{toral quality od drink }{ total players}$

= $\frac{99.921}{16}$

=6.24505625= 6.245

Hence, each player will get around 6.245 ounces of the drink.

Number 4:

36 inches or 3 feet is the correct answer

Number 5 ;

The correct answer for the question that is being presented above is this one: "10 pounds." An office supply company is shipping a case of wooden pencils to a store. There are 64 boxes of pencils in the case. If each box of pencils weighs 2.5 ounces, then...

There are:

64 boxes of pencils

1 box weighs 2.5 ounces

Find its total weight in pounds.

1 ounce = 0.0625 pounds

64 boxes * 2.5 ounces = 160 ounces

160 ounces * 0.0625 pounds/1 oz = 10 pounds.

The 64 boxes of pencils weigh 10 pounds.

8 0

3 years ago