How do i write this quotient as a mixed number?

Answer:

Numerator.

Step-by-step explanation:

(2a¯⁵b²/ab³)¯³

To know if the constant term will be in the numerator or denominator, let us simplify the expression. This can be obtained as follow:

(2a¯⁵b²/ab³)¯³

Recall

m¯ⁿ = 1/mⁿ

Therefore,

(2a¯⁵b²/ab³)¯³ = 1/(2a¯⁵b²/ab³)³

= 1 ÷ (2a¯⁵b²/ab³)³

= 1 × (ab³ / 2a¯⁵b²)³

= (ab³ / 2a¯⁵b²)³

Recall

(mⁿ)ˣ = mⁿˣ

Therefore,

(ab³ / 2a¯⁵b²)³ = a³b⁹ / 2³a¯¹⁵b⁶

Recall

x^m ÷ x^n = x^(m–n)

Therefore,

a³b⁹ / 2³a¯¹⁵b⁶ = a^(3 - - 15)b^(9-6)/2³

= a^(3 +15) b^(9-6)/2³

= a¹⁸b³/2³

Thus,

(2a¯⁵b²/ab³)¯³ = a¹⁸b³/2³

From the above illustration, we can see that the constant term (i.e 'a' and 'b') are in the numerator.

Answer:

(16.75x) + 50

Step-by-step explanation:

Answer:

Step-by-step explanation:

g(n) = 3n + 3

To find g(-3) , substitute the value of n that's - 3 into g(n). That is for every n in g(n) replace it with - 3

We have

g(-3) = 3(-3) + 3

= - 9 + 3

We have the final answer as

Hope this helps you

Answer:

x = 8

Step-by-step explanation:

Answer:

so it would be 90 degrees + 40 degrees = 130

We still need 50 more + 2

48/6 = 8

x = 8 because 48+2 = 50 or 6x + 2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The answer is B because if you move two times to the right it gives you 0.09 like the eqution.

But scientific notation requires number without decimal, so the answer cannot be E because 0.9 is a decimal.

Just reminder: B and D have the same result!! just different coefficient

Step-by-step explanation:

The answer is B) 9 x 10^ -2

Answer:12

Step-by-step explanation:

Simplifying

3x + 15 = 2x + 10 + x + 5

Reorder the terms:

15 + 3x = 2x + 10 + x + 5

Reorder the terms:

15 + 3x = 10 + 5 + 2x + x

Combine like terms: 10 + 5 = 15

15 + 3x = 15 + 2x + x

Combine like terms: 2x + x = 3x

15 + 3x = 15 + 3x

Add '-15' to each side of the equation.

15 + -15 + 3x = 15 + -15 + 3x

Combine like terms: 15 + -15 = 0

0 + 3x = 15 + -15 + 3x

3x = 15 + -15 + 3x

Combine like terms: 15 + -15 = 0

3x = 0 + 3x

3x = 3x

Add '-3x' to each side of the equation.

3x + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0

0 = 3x + -3x

Combine like terms: 3x + -3x = 0

0 = 0

Solving

0 = 0

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

The equation 3x + 15 = 2x + 10 + x + 5 has no solutions.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

3x + 15 = 2x + 10 + x + 5

We need to find the value of x that will make the equation true.

3x + 15 = 3x + 15

We have to combine like terms on one side.

3x - 3x = 15 - 15

0 = 0

This shows that the equation has no solutions.

Thus the equation 3x + 15 = 2x + 10 + x + 5 has no solutions.

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Answer: I think it’s B

Step-by-step explanation:

Answer:

answer b

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

The decimal points moves to the right at a constant pace.

0.006 -> 0.06 -> 0.6 -> 6

In other words, we are just multiplying each one by 10 to get the next value.

Best of Luck!

she has $13.80 every hour because 842 divided by 40 plus 12 equals 61 so then and you cant round anymore.

1.8 that is the best answer

Answer:

0.56

Step-by-step explanation:

A quotient is a quantity produced by the division of two numbers.

5 / 9 = 0.555555556

0.555555556 = 0.56

Step-by-step explanation:

You've got a good start.

The numerator is an order 3 polynomial, and the denominator is an order 1 polynomial.  So the result will be an order 2 polynomial, so there will be 3 terms, plus a possible remainder.

There are 2 terms in the denominator.

So draw a grid 4 boxes wide and 2 boxes tall.

Write each term in the denominator (2x and -3) down the right side.

Write each term in the numerator (2x³, x², -16x, and 15) starting at the left side and continuing along the bottom.

Boxes diagonal of each other must add up to the numerator term.  For example, the top left box is the only box in that diagonal, so that must be equal to 2x³.

Each box is the product of the term in the top row and the term in the right column.  So if the first box is 2x³, and the term at the right is 2x, then the term at the top is x².

x² · 2x = 2x³

And if the term at the top is x², and the term at the lower right is -3, then the term in the bottom left box is -3x².

x² · -3 = -3x²

And since the boxes in that diagonal add up to x², the other box must be 4x².

-3x² + 4x² = x²

Continue this pattern until all boxes are filled.

Answer:

Given :

→x-y=12

→xy= 3²

=9

Equation formed:

[tex] {(x - y)}^{2} = {x}^{2} + {y}^{2} - 2xy[/tex]

Step by step explanation:

[tex] {(12)}^{2} = {x}^{2} + {y}^{2} - 2 \times 9 \\ 144 + 18 = {x}^{2} + {y}^{2} \\ = 162[/tex]

hope it helped you:)

Answer:

560 centimeters³

Step-by-step explanation:

volume formula is length x width x height so when you plug in the numbers

14 x 5 x 8= 560

Answer: C

Step-by-step explanation:

To factor a trinomial, you need to multiply 'a' and 'c' and see what two number add to equal 'b' but also multiply to equal the product of 'a' and 'c'.

So, what two numbers multiply to equal 16 but simultaneously add to equal 8?

That is +4 and +4. Instead of writing (x+4)(x+4), you can write (x+4)^2, or answer C.

Answer:

True

Step-by-step explanation:

∫₀°° f(x) dx = ∫₀¹ f(x) dx + ∫₁°° f(x) dx

We know that ∫₁°° f(x) dx converges, and we know that f(x) is continuous on [0, 1], inclusive.  Therefore, ∫₀¹ f(x) dx converges, so ∫₀°° f(x) dx converges.

Answer:

$33

Step-by-step explanation:

44 x 0.25 = 11

44 - 11 = 33

Answer: f(x)= -76

Step-by-step explanation:

Plug the given value in where you see x

f(x) = 4(-16) - 12

f(x) = -64 - 12

f(x)= -76

Answer:

-76

Step-by-step explanation:

f(-16)=4(-16)-12

f(-16)=-64-12

f(-16)=-76

Answer/Step-by-step explanation:

Given:

m<9 = 97°

m<12 = 114°

a. m<1 = m<9 (both angles are corresponding angles. Corresponding angles are congruent)

m<1 = 97° (substitution)

b. m<2 + m<1 = 180° (linear pair)

m<2 + 97° = 180° (substitution)

m<2 = 180 - 97 (subtracting 97 from both sides)

m<2 = 83°

c. m<3 = m<11 (corresponding angles)

m<11 + m<12 = 180° (linear pair)

m<11 + 114° = 180° (substitution)

m<11 = 180 - 114

m<11 = 66°

m<3 = m<11 = 66°

d. m<4 + m<3 = 180° (linear pair)

m<4 + 66° = 180° (substitution)

m<4 = 180 - 66

m<4 = 114°

e. m<5 = m<2 (vertical angles are congruent)

m<5 = 83° (substitution)

f. m<6 = m<1 (vertical angles are congruent)

m<6 = 97° (substitution)

g. m<7 = m<4 (vertical angles are congruent)

m<7 = 114° (substitution)

h. m<8 = m<3 (vertical angles are congruent)

m<8 = 66° (substitution)

i. m<10 = m<2 (corresponding angles are congruent)

m<10 = 83° (substitution)

j. m<11 = m<3 (vertical angles are congruent)

m<11 = 66° (substitution)

k. m<13 = m<5 (corresponding angles)

m<13 = 83° (substitution)

l. m<14 = m<9 (vertical angles)

m<14 = 97° (substitution)

m. m<15 = m<12 (vertical angles)

m<15 = 114° (substitution)

n. m<16 = m<11 (vertical angles)

m<16 = 66° (substitution)

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

C≈12.57 yd

A≈12.57 yd²

Answer: There are 4 terms in the Algebraic expression.

Answer:

One less bag

Step-by-step explanation:

I just did the assignment

Answer:

one less bag

Step-by-step explanation:

Answer:

well you should firstcalculate the distance then divide by the primary source and you should be able to get the answer after substituting

Step-by-step explanation:

Answer:

they are the same.

Step-by-step explanation:

Answer:

they are equal

Step-by-step explanation:

3/4 is the same thing as 0.75

Answer:

Rick: 2 miles

Tina: 1,5

Step-by-step explanation:

60mn=1h

reck: 1/2x60÷15=2

tina: 1/4x60÷10=1,5

The distance each hiked in 1 hour is for Tina 3/2 miles and for rick 1/2 miles.

The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.

Given:

Rick hiked 1/2 mile every 15 minutes or 1/4 hour.

Tina 10 minutes to hike 1/4 mile.

We have to find the distance each hiked in 1 hour.

According to given question we have

Rick:

1/2 miles= 15 minutes or 1/4 hour

1 miles=  1/4*2=2 hour

2 hour =1 miles

1 hour=1/2 miles

Tina:

1/4  miles = 10 minutes or 10/60=1/6 hour

1 miles=  =1/6*4=2/3 hour

2/3 hour=1 miles

1 hour = 1*3/2=3/2 miles

Therefore, the distance each hiked in 1 hour is for Tina 3/2 miles and for rick 1/2 miles.

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The answer is the Division on the top The multiplication then -14

Step-by-step explanation: I hope this will help you