If log10(x^2y^3) =7 and log 10(x/y) =1 then x = blank and y= blank

Answers

Answer 1

Answer: From the second equation we get
$(x)/(y) =10$
Faim the first equation we get:
$x^2y^3=10^7$
We have $x=10y$ then
$(10y)^2y^3=10^7\ny^5=10^5\ny=10$
Then $x=10y=100$

Related Questions

How do you express 30% as a ratio in lowest terms?
If a family member brings you freshly canned fruit and asks you to use it to bake pies at your restaurant, your response should be:
Select the items from the following list that are included in financial literacy.
If there are 7 white t shirts on the shelve for every 3 purple shirts, how many white shirts are there if there are 40 purple and white
Drag these numbers below to put them in order from least to greatest3.2 3.372 3.27 3.364 3.32 3.23

Greg kicked the soccer ball 75 feet .how many yards did he kick the ball

Answers

greg kicked it 25 yards

The graph shows the value of an investment after x years. the initial amount of the investment is $___ , the investment grows at the rate of ___% each year, and the value of the investment after 10 years is $___
NEED HELP!!! I WILL GIVE POINTS IF HELP IS GIVEN!!

Answers

Answer:

$500
6%
$895.42

Step-by-step explanation:

The graph shows the value of an investment after x years.

The initial amount of the investment is $500, the investment grows at the rate of 6% each year, and the value of the investment after 10 years is $895.42

What is the solution?. 1/2x2 – x + 5 = 0

Answers

1/2 x^2 - x + 5 = 0
Multiply through by 2 to get:
x^2 - 2x + 10 = 0
$x= (-b\pm√(b^2-4ac))/(2a)$ ; where a = 1, b = -2 and c = 10
$x=(-(-2)\pm√((-2)^2-(4*1*10)))/(2*1)\n=(2\pm√(4-40))/(2)\n=(2\pm√(-36))/(2)\n=(2\pm6i)/(2)\n=1\pm3i$
Therefore, x = 1 + 3i or x = 1 - 3i

Jacob invested $300 in a savings account and earned $81 in interest at the end of 9 years. What was the interest rate?

A.
3%

B.
3.5%

C.
4%

D.
4.5%

Answers

r = (1/t)(A/P - 1)

r = (1/9)((300/81) - 1)
Reduce the expression by cancelling the common factors.
r=(1/9)(100/27−1)

Combine 100/27 and −1 using a common denominator.
r=(1/9)(100−1⋅27/27)

Simplify the numerator.
r=(1/9)(73/27)

r = 0.30041152

converting r decimal to a percentage
R = 0.30041152 * 100 = 30.0412%/year

A. 3%

Answer:

Step-by-step explanation:

What is the product?
2x(x – 4)
2x2 – 4
2x2 – 8
2x2 – 4x
2x2 – 8x

Answers

2x(x - 4)
2x × x + 2x × -4
2x^2 + 2x × -4
2x^2 + -2x × 4
2x^2 - 8x

The answer is: 2x^2 - 8x.

Answer:

2x^2-8x.

Step-by-step explanation:

Factor completely x2 + 16.(x + 4)(x + 4)
(x + 4)(x − 4)
Prime
(x − 4)(x − 4)

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is C, Prime.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression is a prime function, therefore, its factorisation is not possible. Hence, the correct option is C, Prime.

Learn more about Expression:

brainly.com/question/13947055

#SPJ2

It's prime because the constant term is positive and there is no middle term. If it were x^2 - 16, we could use (x+4)(x-4), but because 16 is positive, it cannot be factored

Other Questions

7 less than three fifths of b is a

What is equevelent to 15/12

Integers are _____ rational numbersA. alwaysB. somtimesC. never

The perimeter of a parallelogram is 50inches. If the length of one side is 15 inches, what is the length of a side adjacent to it?