Select the correct answer. Which expression is equivalent to ^3 square root of 200k^15, if k ≠ 0
Please help I’m in the middle of a test
Answers
The equivalent algebraic expression to [tex]\sqrt[3]{200k^{15}}[/tex] is [tex]2~k^5~\sqrt[3]{25}[/tex]
The correct answer is an option (B)
What is algebraic expression?"It is a mathematical statement which consists of numbers variables and some algebraic operations."
What are exponents?"It refers to the number of times a number is multiplied by itself."
For given question,
We have been given an algebraic expression [tex]\sqrt[3]{200k^{15}}[/tex]
We need to find an equivalent algebraic expression to given expression.
We know that the properties of exponents,
for positive integers a, b, n
[tex]\sqrt[n]{a}=a^{(\frac{1}{n} )}\\\\\sqrt[n]{ab}=a^{(\frac{1}{n} )}b^{(\frac{1}{n} )}[/tex]
We can write algebraic expression [tex]\sqrt[3]{200k^{15}}[/tex] as,
[tex]\sqrt[3]{200k^{15}}\\\\=\sqrt[3]{25\times 8\times k^{15}}\\\\=(25)^{\frac{1}{3} }\times (8)^{\frac{1}{3} }\times (k^{15})^{\frac{1}{3} }\\\\=\sqrt[3]{25}\times 2\times (k)^{\frac{15}{3} }\\\\ =2\sqrt[3]{25} \times k^5\\\\=2~k^5~\sqrt[3]{25}[/tex]
Therefore, the equivalent algebraic expression to [tex]\sqrt[3]{200k^{15}}[/tex] is [tex]2~k^5~\sqrt[3]{25}[/tex]
The correct answer is an option (B)
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Related Questions
To create a unique house paint color, Melton mixes together a sample that is 12 gallons of red, 2.5 gallons of yellow and 0.5 gallons of blue paint. He then mixes a main batch of paint using 30 gallons of yellow paint and enough red and blue paint to maintain the original ratio. How many total gallons of paint did he use to make the main batch of paint?
Answers
Answer:
180
Step-by-step explanation:
total ratio is 15
gallons of red =
[tex] \frac{12}{15} \times 6 \times \frac{15}{0.5 } \\ \\ = 144[/tex]
gallons of yellow
[tex]30[/tex]
gallons of blue
[tex] \frac{0.5}{15} \times 30 \times \frac{15}{2.5} \\ \\ = 6[/tex]
total =144+30+6
=180
Answer:
180
Step-by-step explanation:
the scores on a test for a sample of 34 statistics students are summarized in the following table
Answers
Answer:
80.
Step-by-step explanation:
To find the mean of an amount of numbers, you first add up all of the numbers, in this case, 90 + 80 + 70 = 240. Then, you simply divide the sum of all the numbers by the amount of numbers there are. In this case, there are three. (90, 80, and 70). So to find your answer, the equation would be:
(90 + 80 + 70) ÷ 3 = 80.
helpppppp meeeeeeeeee dadddyyyyy
Answers
Answer:
4m-3 would be the answer
HELLP PLZ... Also MERRY EARLY CHRISTMAS
Answers
Answer:
Step-by-step explanation:
0 would represent the surface of the water
4 seguall
3
2
1 above water
0-surface of the water
-1 in the water
-2
-3
-4
Answer:
on the surface, because 0 represents sea level.
Step-by-step explanation:
Hope this helps and good luck :)
find the value of x then classify the triangle by its angles
Answers
Answer:
x = 134°
Step-by-step explanation:
Let
[tex]\angle A=64^{\circ}\\\\\angle B =70^{\circ}[/tex]
We need to find the value of x.
We can see from the figure that x is exterior angle. To find x we can use exterior angle theorem. According to this theorem,
[tex]x=\angle A+\angle B\\\\x=64+70\\\\x=134^{\circ}[/tex]
Hence, the value of x is 134°
One batch of vegetable soup uses 2 cups of chopped onions 1.5 cups of chopped celery and one cup of chopped carrots select each ratio that will help a chef compare cups of chopped carrots to the total of cups of chopped vegetables circle all that apply
Answers
Answer:
4.5
Step-by-step
2+1=3+1.5+4.5
What is the measure of the smallest angle in degrees?
Answers
Answer:
Step-by-step explanation:
2x-6+3x+5+2x+20=180
7x=180-19=161
x=161/7=23
angles are 2×23-6,3×23+5,2×23+20
or 40,74,86
smallest angle=40°
El suplemento del angulo T es 4 veces la medida del angulo T
Answers
Answer:;0
Step-by-step explanation:
Lol
A grocery store has bananas on sale for 2 pounds for $1.50. What is the cost of 6 pounds of bananas?
Answers
Answer:
$4.50
Step-by-step explanation:
6 / 2 = 3
$1.50 x 3 = $4.50
2/1.5 is equal to 6/x
You cross multiply and you get 4.5
I NEED THE ANSWER ASAP PLZ!!!!!!
Answers
Answer:
its D trust me okkkkkkk
I think its A
I wouldn't go with i say tho
Can someone help me on these questions?
Answers
Answer:
I can give you a few of them, sorry
Step-by-step explanation:
5) obtuse 6)straight 7)right 9) 24°
If f(x)= -x-1, what is f(-4)?
a. -3
b. 3
c. 5
d. -5
Answers
I will give brainliest
The original Ferris wheel introduced at the 1893 World’s Fair in Chicago had a diameter of 125 feet. What is the approximate distance traveled by a person who rode this Ferris wheel for 5 complete revolutions? Use 3.14 for pi to solve.
1,962.5 ft
981.25 ft
625 ft
392.5 ft
Answers
Answer:
B is the answer to your question!
According to a survey conducted by Deloitte in 2017, 0.4702 of U.S. smartphone owners have made an effort to limit their phone use in the past. In a sample of 54 randomly selected U.S. smartphone owners, what is the probability that between 22 and 29 (inclusively) will have attempted to limit their cell phone use in the past?
1) 0.0241.
2) 0.1703.
3) 0.8779.
4) 0.0483.
5) 0.1221.
Answers
Answer: 0.628
Step-by-step explanation:
Probability of U.S. smartphone owners have made an effort to limit their phone use in the past : p = 0.4702
Sample size : n= 54
Mean : [tex]\mu =(54)(0.4702)=25.39[/tex]
Standard deviation:
[tex]\sigma=\sqrt{(54)(0.4702)}=\sqrt{25.39}\\\\\approx5.039[/tex]
The probability that between 22 and 29 (inclusively) will have attempted to limit their cell phone use in the past will be :
[tex]P(22\leq x\leq29)=P(21<x<30)=P(\dfrac{21-25.39}{5.039}<\dfrac{X-\mu}{\sigma}<\dfrac{30-25.39}{5.039})\\\\=P(-0.8712<z<0.914864)\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\=P(z<0.914864)-P(z<-0.8712)\\\\=P(z<0.914864)-(1-P(z<0.8712))\\\\=0.8198685-(1-0.8081775)\ \ \ [\text{ By p-value table}]\\\\=0.628046[/tex]
Hence, the required probability = 0.628
Which of the following are two-step equations? Choose more than
one answers
Answers
Answer:
i think a b d f
Step-by-step explanation:
Understanding how a budget is created will help you develop good financial decision making skills. This is known as: Question 3 options: Financial expertise Financial literacy Accounting Math
Answers
Answer:
True mate
Step-by-step explanation:
The budget is created to develop good financial decision-making skills, is known as Financial literacy. Thus, option 2nd is correct.
What is Budget?Budget refers to the blueprint of the expenses and income of the individual or the corporation. It is the estimation of the net revenue after deducing all losses and expenses for the specific period of time. After the expiry of the specific period, the new budget is prepared.
Government also prepares the budget to calculate the deficit or surplus in the government spending. Therefore, It can be prepared by a person, group, business or government organization.
Financial literacy refers to confident of understanding the concepts regarding the finances of the person and his savings. It is study about the money related affairs.
Therefore, it can be concluded that option 2nd is correct.
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What is the missing value in the proportion? Solve for M and round your answer to the nearest hundredth.
Answers
Answer:
M = 165.66
Step-by-step explanation:
Given the proportion, [tex] \frac{M}{178} = \frac{188}{202} [/tex], gif ind the value of M, start by multiplying both sides by 178
[tex] \frac{M}{178} \times 178 = \frac{188}{202} \times 178 [/tex]
[tex] M = \frac{188 \times 178}{202} [/tex]
[tex] M = \frac{188 \times 178}{202} [/tex]
M = 165.66 (nearest hundredth)
How many ways are there to rearrange the letters ALIVE in such a way that the word EVIL is not contained in the resulting word
Answers
Answer: 118 combinations.
Step-by-step explanation:
In ALIVE we have 5 letters, rearranging it we have the possible options of:
5 options for the first letter.
4 options for the second letter, as one was already chosen for the first one
3 options for the third letter, as 2 were already chosen.
2 options for the fourth letter.
1 option for the last letter.
The total number of combinations will be equal to the product of the numbers of options for each letter, then we have:
5*4*3*2*1 = 120 combinations.
And the combinations where the word EVIL is formed are:
AEVIL
EVILA
2 combinations, then the total number of combinations such that the word evil is not formed are:
120 - 2 = 118 combinations.
if f(x) = x^2 + x , find f(-3) a)-12 b)3 c)6
Answers
(-3)^2=9
9+(-3)=6
Please help me solve this :)
I will give Brainlst !!
Answers
2. Domain
3. Non linear
4. Range
5. Function
6. Linear
7. Y = mx + b is a linear equation where m is the slope and b is the y-intercept.
Please explain how to do this please show work
Answers
Answer:
(x-1)(x+4)
I.e x(x+4)-1(x+4)
Xsquare +4x -x -4
Xsquare +3x -4
Matt got on a scale and weighed 243.28 pounds. After dieting and exercising for several weeks, he lost 17.29 pounds.
Answers
Answer:
Step-by-step explanation:
243.28-17.29=225.99 after the diet
A customer purchase aced items in your store totaling $12.64. They hand you three $5.00 bills. How much change would you owe them?
Answers
Hope this helps:)
The change would you owe them is : 2.528
We have the following information available from the question is:
A customer purchase aced items in your store totaling $12.64.
They hand you three $5.00 bills.
We have to find the how much change would you owe them?
Now, According to the question:
The change would you owe them is :
Then, Divide the store totaling bill is $12.64 by $5.00 bills.
We get :
=> $12.64 ÷ %5.00
=> 2.528
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Which of the following statements are true? Select all that apply.
A triangle is shown.
Answers
Explanation:
how many inches are in 5.00cm (inch=2.54cm
Answers
Answer:
1.9685 in.
Step-by-step explanation:
Answer:
1.9685
Step-by-step explanation:
Takis or Hot cheetos?
Answers
Answer:
Takis
.................
using the order of operations, what should be done first to evaluate 8² + 10 (-5) (3) - 5?
A. Subtract 5 From 3.
B. Divide 10 by -5.
C. Add 6 and 10.
D. Evaluate 8².
Answers
Answer:
D
Step-by-step explanation:
A florist has ordered 632 roses for Valentine's Day. If the roses are divided into 50 bouquets, how many roses will each bouquet
have, and how many roses will be left over?
Answers
Answer:
I believe each bouquet of roses will have 12 roses, and 32 roses will be left.
What is the slope of the graph of
y = -3x + 2?
Answers
Answer: -3
Step-by-step explanation:
WILL GIVE BRAINLEST PLZZZ HELP MEEE
Answers
Answer:
i think its 3
Step-by-step explanation:
thats the only one where the reflection is on the correct axis