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3 years ago

6

Which expression is a perfect cube?

2 answers:

madreJ [45]3 years ago

7 0

Answer: Answer is D on edg-enuity

Step-by-step explanation:

i don't know the step by step process but i know the answer is D

uranmaximum [27]3 years ago

6 0

Answer:

-64 $x^{64}$ $y^{64}$ is perfect cube.

Step-by-step explanation:

Given : Different expressions.

To find : Which expression is a perfect cube.

Solution : We have given that different expressions.

We need to find perfect cube

We know that 64 is cube of 4

(4)³ = 64

$(x^{4})^{3}$ = $x^{64}$ .

$(y^{4})^{3}$ = $y^{64}$ .

Therefore, -64 $x^{64}$ $y^{64}$ is perfect cube.

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NO LINKS!!! Kim invested $5000 in Mutual fund at 6% compounded quarterly. Write an equation to represent this situation. When wi

Ira Lisetskai [31]

Answer:

Equation is A = 5000(1.015)^(4t)

Her investment will be worth $10,000 in about <u>11.63888 years</u>

Rounding up to the nearest whole number gets to <u>12 years</u>

==========================================================

Explanation:

Part 1) Finding the equation

The compound interest formula is

A = P(1+r/n)^(n*t)

Here are the variables

A = final amount
P = starting amount, or deposit, or principal
r = interest rate in decimal form
n = number of times money is compounded per year
t = number of years

In this case,

P = 5000
r = 0.06 from the 6% annual interest
n = 4 times a year is the compounding frequency
t = unknown amount of time

Therefore, the equation is

A = P(1+r/n)^(n*t)

A = 5000(1+0.06/4)^(4t)

A = 5000(1.015)^(4t)

The decimal value is exact.

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

Part 2) Let's plug in A = 10,000 and solve for t.

You'll need to use logarithms to isolate the exponent.

A = 5000(1.015)^(4t)

10,000 = 5000(1.015)^(4t)

10,000/5000 = (1.015)^(4t)

2 = (1.015)^(4t)

Log[ 2 ] = Log[ (1.015)^(4t) ]

Log(2) = 4t*Log( 1.015 )

4t = Log(2)/Log(1.015)

4t = 46.5555256308062

t = 46.5555256308062/4

t = 11.6388814077015

t = 11.63888

It takes about 11.63888 years for the investment to reach $10,000.

Therefore, at the 12 year mark is when the investment is more than $10,000.

7 0

2 years ago

Read 2 more answers

Geometry multiple choice question

kakasveta [241]

It’s the 3rd one 10.3

7 0

3 years ago

Through: (-3,0), perp. to y = 3x - 1

Marrrta [24]

Answer:

$y=-\dfrac{1}{3}x-1$

Step-by-step explanation:

<u>Given: </u>

line y=3x-1

point (-3,0)

<u>Write:</u> equation of the line that is perpendicular to the given and passes through the point (-3,0)

<u>Solution:</u>

The slope of the given line is $m=3$

If $m_1$ is the slope of perpendicular line, then

$m\cdot m_1=-1\\ \\3m_1=-1\\ \\m_1=-\dfrac{1}{3}$

So, the equation of the needed line is $y=-\dfrac{1}{3}x+b.$

Find b. This line passes through the point (-3,0), so its coordinates satisfy the equation:

$0=-\dfrac{1}{3}\cdot (-3)+b\\ \\0=1+b\\ \\b=-1\\ \\y=-\dfrac{1}{3}x-1$

7 0

3 years ago

Wendy has $27 to buy seed for her birdfeeders. Each bag of seed costs $5.

Alekssandra [29.7K]

Answer:

5

Step-by-step explanation:

If Wendy has $27 to buy seeds, and each seed bag costs $5, then:

5 · 5 = 25

5 · 6 = 30

27<30

27>25

So, Wendy is able to buy 5 bags and remain with 2 dollars.

5 0

2 years ago

Read 2 more answers

HELP ME OUT HERE! PLS TELL ME HOW U GOT THE ANSWER TOO!

IgorC [24]

Answer: Choice C

$\begin{array}{|c|c|} \cline{1-2}x & y\\\cline{1-2}0 & 1\\\cline{1-2}2 & 2\\\cline{1-2}4 & 3\\\cline{1-2}6 & 4\\\cline{1-2}\end{array}$

=========================================================

Explanation:

There are four marked points on the line.

Each point is of the form (x,y)

The first or left most point is (0,1)
The second point is (2,2)
The third is (4,3)
The fourth is (6,4)

Each of these points is then listed in the table format as shown above.

There are infinitely many other points on the line; however, we only select a few of them to make the table (or else we'd be here all day).

Extra side notes:

The slope of this line is m = 1/2 = 0.5
The y intercept is 1 located at (0,1)
The equation of this line is y = 0.5x+1

8 0

2 years ago

Read 2 more answers