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2 years ago

Simplify the expression 9^7/ 9^9 60 points

Mathematics

1 answer:

KATRIN_1 [288]2 years ago

5 0

Answer:

1/9^2

Step-by-step explanation:

simplify

9^(7-9)

simplify further

9^-2

simplify even more

1/9^2

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One store sells milk for $3.00 per gallon. A second store sells milk for $0.80 per quart. Formulas If you need two gallons, whic

Darya [45]

Answer:

You should buy from the first store

Step-by-step explanation:

Since there are 4 quarts in a gallon, we will need to multiply .80 by 8 to figure out how much it costs for 2 gallons. This will be $6.40 for the second store, and in order to find out how many the first store offers, we multiply 3 by two, which is six.

So, the first store charges $6.00 for two gallons, and the second store does $6.40 for two gallons of milk

8 0

3 years ago

Read 2 more answers

Find the derivative of <img src="https://tex.z-dn.net/?f=%20y%20%3D%20%5Csqrt%5B3%5D%7Bx%7D%20" id="TexFormula1" title=" y =

MAXImum [283]

Answer:

$\displaystyle y'(27) = \frac{1}{27}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Exponential Rule [Root Rewrite]: $\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}$
Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$

Calculus

Derivatives

Derivative Notation

Basic Power Rule

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

y = ∛x

x = 27

Step 2: Differentiate

[Function] Rewrite [Exponential Rule - Root Rewrite]: $\displaystyle y = x^{\frac{1}{3}}$
Basic Power Rule: $\displaystyle y' = \frac{1}{3}x^{\frac{1}{3} - 1}$
Simplify: $\displaystyle y' = \frac{1}{3}x^{-\frac{2}{3}}$
Rewrite [Exponential Rule - Rewrite]: $\displaystyle y' = \frac{1}{3x^{\frac{2}{3}}}$

Step 3: Solve

Substitute in x [Derivative]: $\displaystyle y'(27) = \frac{1}{3(27)^{\frac{2}{3}}}$
Evaluate exponents: $\displaystyle y'(27) = \frac{1}{3(9)}$
Multiply: $\displaystyle y'(27) = \frac{1}{27}$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

8 0

3 years ago

If two lines are perpendicular, then they form:

Alexandra [31]

A cross because they are intersecting each other at the center of each line.

7 0

3 years ago

Read 2 more answers

El precio de costo de “x” artículos es 60x + 4 000, además el precio de venta de los mismos es 80x. Determinar la cantidad de ar

Citrus2011 [14]

Answer:

800 artículos.

Step-by-step explanation:

Sea x = la cantidad de artículos vendidos

De la pregunta,

Precio de costo = 60 x + 4000

Venta (precio de venta) = 80x

También nos dieron ganancias como S12000

Para determinar la ganancia

Precio de venta: precio de costo = beneficio (cuando el precio de venta es más alto que el precio de costo)

Por lo tanto,

12,000 = 80x - (60x + 4000)

12,000 = 80x - 60x - 4000

Recolectando términos similares

12,000 + 4,000 = 80x - 60x

16,000 = 20x

x = 16,000 / 20

x = 800

Por lo tanto, la cantidad de artículos que se venderán si desea obtener una ganancia de S12,000 es de 800 artículos.

7 0

3 years ago

If one gallon is the same amount as 4 quarts, how many quarts are in 5 gallons?

wlad13 [49]

If one gallon = 4 quarts
Then 5 gallons = x quarts

To solve this we can set up a porportion

1/4 = 5/x

To solve the porportion we need to find the rule so how to we get to 4 from 1? Well we can multiply 1 by 4 to get one right?

So if this is true, 1 x 4 = 4 then 5 x 4 must equal x

5 x 4 = 20 so the answer would be 20 quarts are in 5 gallons

Another way to look at this is that you have 5 gallons and in each gallon is 4 quarts to if there is 4 quarts in every one gallon then that’s just 4 + 4 + 4 + 4 + 4 or 5 x 4

I hope this helps! <3

So i

6 0

3 years ago

Read 2 more answers