Mathematics College

what is the exponent used in cubing a number

Answers

Answer 1
Cubing a number means raising that number to the third power.

So, the answer is 3.

Related Questions

You mow your lawn in 5 hours and earn $45. What is your hourly wage?

Answers

first you divide the total with the amount of hours you worked

45/5 = 9

9 is the amount of money you earn per hour

so your answer is $9 per hour


hope this helps

Simplify the complex number i^39 as much as possible.

Answers

Answer:

-i

Step-by-step explanation:

i = [tex]\sqrt{-1}[/tex]

[tex]i^{2}[/tex] = - 1

Every [tex]i^{x}[/tex] will be equal to -1, when n is even.

Break apart [tex]i^{39}[/tex] into ([tex]i^{38}[/tex])([tex]i^{1}[/tex])

Since 38 is even, [tex]i^{38}[/tex] will be equal to -1

-1*([tex]i^{1}[/tex]) = -i

To simplify i^39, we must use the cyclical pattern of i's powers, which repeats every four. i^39 simplifies to i^3, which is equal to -i.

To simplify the complex number i^39, we should recognize the cycle of powers of i. Since i represents the square root of -1, the powers of i cycle every four powers:

i = ii^2 = -1i^3 = -ii^4 = 1

To find the equivalent of i^39, we can divide 39 by 4 to get a quotient and a remainder: 39 divided by 4 is 9 with a remainder of 3. This means that i^39 is equivalent to i^3, which is -i.

In the 1st generation, there are 4 monkeys on the island.....

Answers

General explicit formula:
[tex]a_n = a_1 (r^{n-1})[/tex]

You are given initial value of 4. 
a1 = 4

The rate of growth is it doubles every generation or multiplies by 2.
r = 2

Answer:
[tex]a_n = 4 (2^{n-1})[/tex]

Answer:

you're answer is letter D.

Step-by-step explanation:


Travis has a savings account that his parents opened for him. It pays 6% annual interest. His uncle also opened an account for him, but it pays 8% annual interest. If there is $500 more in the account that pays 6%, and the total interest from both accounts is $100, how much money is in each of the accounts?

Answers

so let's say the amounts are "a" and "b", at 6% and 8% respectively.

how much is 6% of a?  well (6/100) * a, or 0.06a.
how much is 8% of b?  well (8/100) * b, or 0.08b.

so hmm whatever "a" and "b" amounts are, we know that their yield is $100, thus 0.06a + 0.08b = 100.

now, there's more money in "a" than in "b", 500 bucks more, so whatever "b" is, we know that a = b + 500.

[tex]\bf \begin{cases} 0.06a+0.08b=100\\ \boxed{a}=b+500\\ ----------\\ 0.06\left( \boxed{b+500} \right)+0.08b=100 \end{cases} \\\\\\ 0.06b+0.08b+30=100\implies 0.02b=70\implies b=\cfrac{70}{0.02} \\\\\\ b=3500[/tex]

how much was deposited in the 6% one?  well, a = b + 500.

How are the decimals .009 and .09 related?

Answers

They're related only because they are smaller than .1. They both have 9 and both have at least on zero. They're different though because .09 is a larger number than .009

Answer:

0.09 is ten times of 0.009

Step-by-step explanation:

The two decimals are 0.009 and 0.09

We can rewrite the decimals in the scientific notation.

0.009 = [tex]9\times 10^{-3}[/tex]

And 0.09 = [tex]9\times 10^{-2}[/tex]

Now we divide first decimal 0.09 by 0.009

[tex]\frac{0.09}{0.009}=\frac{9\times 10^{-2} }{9\times 10^{-3} }[/tex]

=[tex]\frac{10^{-2}}{10^{-3}}[/tex]

= [tex]\frac{10^{3} }{10^{2} }=10[/tex]

Therefore, 0.09 is ten times of 0.009

Write 93 11/16 as a decimal

Answers

93 11/16 written as a decimal is 93.6875. Rounded it is approximately 93.7

I hope this helps:)

Which equation has no solution?

4(x + 3) + 2x = 6(x + 2)
5 + 2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
4 + 6(2 + x) = 2(3x + 8)

Answers

4(x+3)+2x=6(x+2) is the right answer

Answer:

B: 5 + 2(3 + 2x) = x + 3(x + 1)

Step-by-step explanation:

Just took it it's correct so leave a like

in order to lose 1 pounds one, must burn off 3500 calories. To burn off 100 calories you must bicycle at 9 mph for 15 minutes. How long do you have to bicycle at 9 mph to lose 7 ponds?

Answers

To burn off one pound,
100 cal * x = 3500
x= 35
You'll need 35 15 minutes to burn off one pound so, 525 minutes per pound, and you need to lose 7 pounds so,
525*7 = 3675 minutes OR 61.25 hours

Final answer:

The student needs to bicycle for a total of 61.25 hours at 9 mph to lose 7 pounds.

Explanation:

The subject of the question is Mathematics, and it relates to calculating the amount of exercise needed to achieve a certain weight loss goal. The student wants to know how long they must bicycle at 9 mph to lose 7 pounds.

First, we know that to lose 1 pound, one must burn off 3,500 calories. Since 15 minutes of bicycling at 9 mph burns 100 calories, we calculate the time required to burn 3,500 calories (for 1 pound) and then multiply by 7 for the 7 pounds.

To lose 1 pound:
3,500 (calories per pound) / 100 (calories per 15 minutes) = 35 (15 minute sessions to lose 1 pound).

35 sessions * 15 minutes = 525 minutes.

To lose 7 pounds:
525 minutes (to lose 1 pound) * 7 = 3,675 minutes.

3,675 minutes can be converted into hours by dividing by 60 minutes per hour:

3,675 minutes / 60 = 61.25 hours.

Therefore, the student needs to bicycle for a total of 61.25 hours at 9 mph to lose 7 pounds.

The difference between 4 and the product of 6x and 40

Answers

Sent a picture of the solution to the problem (s).

If a tire rotates through 250 degrees in 15 seconds, how many degrees does it rotate in 45 seconds?

Answers

Multiply it by three. Look for patterns. 45/15 is 3 therefore the x amount of degrees must be multiplied by three

The Cunninghams are moving across the country. Mr. Cunningham leaves 3 hours before Mrs. Cunningham. If he averages 40mph and she averages 80mph, how long will it take Mrs. Cunningham to overtake Mr. Cunningham?

Answers

recall your d = rt, distance = rate * time

now, if say, by the time they meet, Mr Cunningham has travelled "d" miles, that means Mrs Cunningham must also had travelled "d" miles as well.

However, he left 3 hours earlier, so by the time he travelled "d" miles, and took say "t" hours, for her it took 3 hour less, because she started driving 3 hours later, so, she's been on the road 3 hours less than Mr Cunningham, so by the time they meet, Mrs Cunningham has travelled then "t - 3" hours.

[tex]\bf \begin{array}{lccclll} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ &------&------&------\\ \textit{Mr Cunningham}&d&40&t\\ \textit{Mrs Cunningham}&d&80&t-3 \end{array} \\\\\\ \begin{cases} \boxed{d}=40t\\ d=80(t-3)\\ ----------\\ \boxed{40t}=80(t-3) \end{cases} \\\\\\ \cfrac{40t}{80}=t-3\implies \cfrac{t}{2}=t-3\implies t=2t-6\implies 6=2t-t \\\\\\ 6=t[/tex]

Involves 6 suspects, 6 weapons and 9 rooms. one of each is randomly chosen and the object of the game is to guess the chosen three. how many solutions are possible?

Answers

their would be 21 different solutions for this problem

Answer:

21

Step-by-step explanation:

At
Euclid Middle School, of the 30 girls who tried out for the lacrosse team, 12
were selected and of the 40 boys who tried out, 16 were selected. Are the ratios of number of students on the
team to number of student trying out the same for both boys and girls? How do you know?

Answers

Since the ratio of girls who tried out to the girls that were accepted is 30/12=2.5 and the ratio of boys who tried out to the boys that were accepted is 40/16=2.5, we know that they are the same because 2.5=2.5

Raul and Ruth Are saving for a trip.Raul starts with $350 and saves $15 per week.Ruth starts with $200 and saves $25 per week. When will they have the same amount?

Answers

Develop two linear equations to represent the savings of these two people:
Raul:  rl=$350 + $15x
Ruth:  rh=$200 + $25x
In both cases, x represents the number of weeks elapsed.

When will these two people have saved up the same amount?  Set rl = rh and solve for x, the number of weeks elapsed:

$350 + $15x = $200 + $25x

$150 = $10x           gives us x= 15.  Their savings will be equal after 15 weeks.

Answer:

15

Step-by-step explanation:

What is the equilibrium price per DVD?

Answers

The equilibrium referred to here is the dynamic equilibrium. It means that there is a change happening, but the opposite change are equal so they cancel out. So, we can determine the equilibrium price at the point where the demand and supply curve intersect. That would be at the quantity of 60 units. Therefore, the equilibrium price is $10.

√32 greater or less than 5.1

Answers

The pie of 32 is 5.6 and then there's 5.1

Your answer will be greater because 5.6 is greater than 5.1.

"a man drove 10 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of work. if a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?"

Answers

Answer:

11.2 miles


Step-by-step explanation:

We can create a triangle from the information given.

We can call the starting point (0,0) in the coordinate system.

10 mi east - 10 miles to the right. then,5 mi north - 5 miles above

See the attached picture. The direct distance is labeled as x.


Now we need to find x using pythagorean theorem.

Pythagorean Theorem = leg²+leg²=hypotenuse²

Solving for x:

[tex]10^2+5^2=x^2\\100+25=x^2\\125=x^2\\x=\sqrt{125}\\x=11.18[/tex]


Rounding to nearest tenth, we have 11.2 miles

We have that the distance  is mathematically given as

AB=11.2miles

From the question we are told

"a man drove 10 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of work.if a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?"

Distance  

Generally the equation for the Pythagoras Theorem  is mathematically given as

AB^2=AC^2+BC^2

Therefore

AB^2=10^2+5^2

AB=11.2miles

For more information on distance   visit

https://brainly.com/question/989117

0.04 is 1\10 of what

Answers

0.04 is 1/10 of 0.4

hope this helps

Brainiest to Response. AP Statistics Help on Hypothesis Testing! I have various AP Stats questions I'd like to check with those who completed this course or knows about p-values, Hypothesis Testing, and alphas. If you've taken the course and can help me with some AP Statistics questions, I'd appreciate it.

Answers

ill give it a shot friend.

Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. how many ways can the letters of wsilutawsiluta be​ arranged? identify the correct​ unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.

Answers

The letters wsilutawsiluta have 87178291200 unique combinations. Which we can find via the factorial rule (14x13x12... ect). There are no 14 letter words in english that contain this combination of letters (we can narrow the search by looking for 14 letter words with two W's of which none contain the same combination of letters). Ergo we can conclude the correct unscrambling is more than one word. The letters unscramble to spell 'lawsuit' twice. this is the only correct unscrambling (unless we allow the archaic word williwau). Thus there is a 1 in 87178291200 possibility of randomly unscrambling the letters

Prove that if d|m and d|n, then d|(m+n)

Answers

[tex]d\mid m[/tex] means to say there is some [tex]k_1[/tex] such that [tex]m=dk_1[/tex]. Similarly, [tex]d\mid n[/tex] is equivalent to saying there exists [tex]k_2[/te]x such that [tex]n=dk_2[/tex].

Now, [tex]m+n=dk_1+dk_2=d(k_1+k_2)=dk_3[/tex], i.e. there is some [tex]k_3[/tex] such that [tex]m+n[/tex] is a multiple of [tex]d[/tex], i.e. [tex]d\mid(m+n)[/tex].

How much of a 60% saline solution would you need to add to pure water to create 10 L of a 50% saline solution ?

Answers

so say, we add "x" of the 60% saline solution, now, how much salt is in that solution?  now 60% is salt but the rest is something else, but only salt is 60% of "x", or (60/100) * x, or 0.6x.

likewise, for the 10 Liters, if only 50% is salt, then is just (50/100) * 10 or 5.

now... let's check the water whilst we add "y" amount, the water has no salt at all, freshwater for that matter, so, salinity is 0%.  or (0/100) * y or 0.

[tex]\bf \begin{array}{lccclll} &\stackrel{liters}{amount}&\stackrel{\textit{\% of salt}}{quantity}&\stackrel{\textit{total salt}}{quantity}\\ &------&------&------\\ \textit{60\% sol'n}&x&0.60&0.6x\\ \textit{pure water}&y&0.00&0y\\ ------&------&------&------\\ mixture&10&0.50&5 \end{array}[/tex]

[tex]\bf \begin{cases} x+y=10\\ 0.6x+0y=5 \end{cases} \\\\\\ 0.6x=5\implies x=\cfrac{5}{0.6}\implies x=\cfrac{25}{3}\implies x=8\frac{1}{3}[/tex]

Marty wants to paint a box. He can choose to use either blue, green, yellow, or black paint. Also, he can style the paint by painting with a brush, a roller, or a sponge. How many different combinations of color and painting method can Marty choose?

Answers

Since there are 3 different ways of painting each color, we have 3+3+3+3=12 (because there are 4 different colors) ways to paint this

Answer:

12

Step-by-step explanation:

Marty can choose his paint in 4 ways and his style in 3 ways. Thus there are a total of 4x3=12 different combinations he can choose.

Get confused with all the powers??? Answer??

Answers

Hello There!

The rules with powers or exponents are:
If you multiply, you add them
If you divide, you subtract them
And if you multiply with brackets, you multiply the numbers.
Therefore this is what you get:
49[tex] d^{16} [/tex]

Hope This Helps You!
Good Luck :)
(7d^8)²

7 x 7 = 49

(d^8)² = d^64

d^64 + 49 is your answer

hope this helps

Frances left a 19% tip on a meal, including the tip, it's cost was $27.37. What was the cost of the meal before the tip?

Answers

This is just multiplying and subtracting
So 19% in decimal is 0.19 
so 27.37 x 0.19 = 5.2 (If not rounded it is 5.2003)
5.2 - 27.37 = 22.17 (If not rounded 22.167)

Answer:

$22.17

Step-by-step explanation:

Please see attachment. Calculations executed in black ink. Justification explained in green ink. Solution highlighted in blue.

~~

Thank you!

between which two square roots can u find 3.14

Answers

The square root of 9 is 3
The square root of 16 is 4

Between those square roots lies 3.14

Find 10-3 Write the subtraction fact two ways?

Answers

10 - 3 = 7.
Other ways to write it:
3 + 7 = 10.
7 + 3 = 10.

I hope this helps! :>

There are two ways to write the subtraction fact 10 - 3:

10 - 3 = 7

7 + 3 = 10

What are these two ways?

The first way is to simply subtract the two numbers. The second way is to add the two numbers together to get the original number.

Both ways are correct and can be used in different situations. For example, if you are trying to figure out how many apples are left if you have 10 apples and you eat 3, you would use the first way to subtract the two numbers to get 7 apples.

If you are trying to figure out how many apples you need to buy to have 10 apples if you already have 3 apples, you would use the second way to add the two numbers together to get 7 apples.

Find out more on subtraction fact here: https://brainly.com/question/1726293

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What decimal equivalent of 5/6

Answers

divide 5 by 6 to get0.8333 ( the 3 keeps repeating)

please help
An arithmetic sequence has this recursive formula

Answers

the explicit formula is B

Find the present value of Php 50,000.00 due in 4 years if money is invested at 12% compounded semi-annually.

Answers

In this case, Php 50,000 money invested for 4 years with 12% rates. If the rate is 12% compounded semi-annually that means it would be 6%/ 6 months. Then the amount of money after 4 years would be:

Php 50,000.00 * (100+6)%^(4 years/ 6 months)=
Php 50,000.00 * 106%^(8)= Php 79,692.40
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