Answers
Answer:
Simplify each term.
Rewrite 125x10y13 as (5x3y4)3(xy).
Step-by-step explanation:
5x3y43√xy+3√27x10y13
Rewrite 27x10y13 as (3x3y4)3(xy).
Add 5x3y43√xy and 3x3y43√xy to get 8x3y43√xy.8x3y43√xy
i think.
The required simplified solution of the given expression is [tex]135x^{10}y^{13}\sqrt{15}[/tex].
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
[tex]= 3\sqrt{125x^{10}y^{13}}.3\sqrt{27x^{10}y^{13}}[/tex]
Simplifying
[tex]= 9x^{10}y^{13}[\sqrt{125}.\sqrt{27}} ]\\= 9x^{10}y^{13} \times 5\times3\sqrt{5}.\sqrt{3}\\=135x^{10}y^{13}\sqrt{15}[/tex]
Thus, the required simplified solution of the given expression is [tex]135x^{10}y^{13}\sqrt{15}[/tex].
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Related Questions
May painted 4 out of 8 equal parts of a poster board blue Jared painted 2out of 4 equal parts of a same size poster dosed red write traction’s to show which part of the poster board each person painted
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Mario has $100 in a savings account. The interest rate is 5% per year and is not compounded. How much interest will he earn in 1 year?
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What is the approximate volume of the cylinder use 3.14 for TT
Answers
[tex]\pi {r}^{2} [/tex]
with r representing the radius. In this case
[tex]\pi \times {8}^{2} = [/tex]
[tex]64\pi[/tex]
To find the volume of the cylinder we have to multiply this outcome with the height.
[tex]64\pi \times 25 = [/tex]
[tex]64 \times 3.14 \times 25 = [/tex]
[tex]5024[/tex]
Hence, the volume of the cylinder is about 5024 cubic cm.
Kim paycheck was $257.20. She put 1/4 of her paycheck into a savings account and used 1/3 of what was left to pay bills. How much money does she have remaining from her paycheck
Answers
257.2 / 4 = 64.3
A fourth of Kim's paycheck is $64.30; this is the amount she put into her savings account.
Since Kim now has 1/3 of her paycheck, we know that the 1/3 of what was left which she used to pay bills is equal to the amount she put into her savings account: $64.30.
Now, since we know that Kim had took out two equal amounts of money from her paycheck which were fourths, we know that whatever she has left will be half of that:
257.2 / 2 = 128.6
Answer:
Sue has $128.60 remaining from her paycheck.
If you know two corresponding sides of two triangles and you know that the corresponding angles are equal, how can you find out if they are similar triangles?
a.
the other angles are proportional
c.
ratios of the sides will be equal
b.
the vertical angles will be congruent
d.
ratio of the sides will not be equal
Answers
Two triangles can be shown to be similar if it can be proven that they have two sets of corresponding sides in equal proportion and that the corresponding angles, which they include are congruent.
Answer:
the answer is C
Step-by-step explanation:
i got it right on edg 2020-2021
Hurry!!
Determine which of the following exponential formula(s) represents I, V, VI in the graph above.
Answers
We have functions of the type:
f (t) = a * (b) ^ t
Thus,
For I, we have:
f (t) = 30 * (1.05) ^ t
For V we have:
f (t) = 30 * (0.95) ^ t
For VI we have:
f (t) = 30 * (0.85) ^ t
Answer:
option c.
Option: c is the correct answer.
c. φ, ε and δ
Step-by-step explanation:From the graph given to us we see that the graph passes through the same initial point that is the starting point is same i.e. when t=0.
Also, they attain the maximum value at t=0.
α: [tex]10(1.2)^t[/tex]
Now when t=0 we have:
Value=10
β : [tex]10(1.5)^t[/tex]
Now when t=0 we have:
Value=10
χ: [tex]20(1.2)^t[/tex]
Now when t=0 we have:
Value=10
δ: [tex]30(0.85)^t[/tex]
Now when t=0 we have:
Value=30
ε: [tex]30(0.95)^t[/tex]
Now when t=0 we have:
Value=30
φ: [tex]30(1.05)^t[/tex]
Now when t=0 we have:
Value=30
Hence, we see that δ , ε and φ are the three functions such that they have the same initial value.
Which point names the ordered pair (–5, –3)? A. Point A B. Point B C. Point C D. Point D
Answers
how many nickels have the same value as a half dollar.?
Answers
A half-dollar has the monetary worth of $0.50
0.50/0.05 = 10
you will need 10 nickels to have the same monetary worth as a half dollar
hope this helps
Which is the best estimate for the length of a piano keyboard?
Answers
explain why the graph of the function y = 3x + 40 will never intersect the graph of the function y = 3x + 35 .
Answers
Complete the number sentence to solve. Enter the answer in simplest form. Two students share 3 granola bars equally. How many granola bars does each student get?
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A shooting gallery game awards the player 2 points for hitting a stationary duck-target, and 3 points for hitting a moving duck-target. Escobar hit ten targets, and scored 23 points. How many stationary targets did he hit? How many moving targets did he hit?
Answers
3m + 2s = 23
substitute first equation into second equation:
3m + 2(10 - m) = 23
3m + 20 - 2m = 23
m = 3
using first equation:
s = 10 - 3 = 7
check using second equation:
3(3) + 2(7) = 23
9 + 14 = 23 checks
He hit 7 stationary and 3 moving targets.
Henry is making a recipe for biscuits. A recipe calls for 5/10 kilogram flour and 9/100 kilogram sugar .
If Henry measures correctly and combines the two amounts , how much flour and sugar will we have
Answers
Answer:
5/10 + 9/100 = (50 + 90)/100 = 140/100
= 1.4 kilograms
Best Answer gets brainliest, measurement isn't my cup of tea in math.
Answers
5/8 of the 64 musicians in a music contest are guitarists. Some of the guitarists play jazz solos, and the rest play classical solos. The ratio of the number of guitarists in the contest is 1:4. How many guitarists play classical solos in the contest?
Answers
Now, create an equation. x + 4x = 40
5x = 40
x= 8
There are 8 jazz solos and 32 classical solos.
How do u know that the sum of -2(3/4) and 5/6 is rational?
Answers
A cylinder shaped water tank has a diameter of 10m and a height of 10m what volume of water does the tank contain when it’s 75% full use 3.14 to approximate pi
Answers
----------
The volume of the cylinder shaped water tank when it's 75% full is 588.75^3 m.
----------
WORK: 3.14*5^2*10=785
785*.75=588.75
----------
Have a great day!
Answer: The person top is correct.
Step-by-step explanation:
Which would you measure in kilograms?
a. the mass of a butterfly
b. the capacity of a bottle
c. the mass of a basketball
d. the length of a river
Answers
Final answer:
Mass of a basketball is measured in kilograms.
Explanation:
Mass is a measure of the amount of matter an object contains, and in this case, the mass of a basketball would be measured in kilograms.
Kilograms are the appropriate unit for measuring mass as they are based on the SI unit of mass, which is the kilogram.
A restaurant buys a freezer in the shape of a rectangular prism. The dimensions of the freezer are shown. What is the volume of the freezer?
Dimensions- 36 in, 24 1/2 in, 72 1/2 in.
Please explain clearly how you got your answer
Answers
In a bicycle store, $500 bicycle is marked get a "30% discount". What is the sale price of the bicycle?
Answers
30% times 500 is 150
150 minus 500 is 350
The sale price of the bicycle in a store is $350.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
The marked price of bicycle = $500
Discount percentage = 30% = 0.30
Now, discount price = 500(0.30)
⇒ $150
The sale price of the bicycle can be found as
Sale price = Marked price - discount price
⇒ Sale price = 500 - 150
⇒ Sale price = $350
Hence we can conclude that the sale price of the bicycle in a store is $350.
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Aliyah had $24 to spend on seven panicles after buying them she had $10. How much did each pencil cost
Answers
Subtract the $10 from the amount of money Aliyah had to spend because we already know that she will NOT use the $10 towards the pencils.
24 - 10 = 14
This is how much money Aliyah spent on seven pencils. Now, we must find the cost of each individual pencil.
Next, divide this by the amount of pencils Aliyah bought (7):
14 ÷ 7 = 2
ANSWER:
Each pencil cost $2.00.
the quotient of 300 and the quantity of x times 2
Answers
The actual mechanical advantage of a machine
A.cannot be less than 1
B. decreases as the input distant increases
C. increases with greater friction
D. is less than the ideal mechanical advantage of the machine
Answers
2.B
3.C
4.B
5.C
Hope this helps
FRIST ANSWER WILL MARK BRAINLIEST!!! what is 5/12 X 26
Answers
5/12×26
5/12×26 = (5×26)/12:
(5×26)/12
The gcd of 26 and 12 is 2, so (5×26)/12 = (5 (2×13))/(2×6) = 2/2×(5×13)/6 = (5×13)/6:
(5×13)/6
5×13 = 65:
Answer: 65/6
Is this right? Thanks for helping
Answers
Hansel makes the following statement:
"I have an 80% chance of being selected as the captain of the baseball team and a 10% chance of being elected student body president."
What is the probability that Hansel will be selected as the captain of the baseball team and will be elected student body president?
Answers
You multiply 80% by 10%
25 is 125% of what number
Answers
Hope this helps!
Juan lives 2.5 miles from the park. It took him 12 minutes to ride his bicycle to the park. What was Juan’s average speed in miles per hour?
Answers
12x = 150
x = 12.5 mph
Juan's average speed was found to be 12.5 mph, calculated by dividing the distance of 2.5 miles by the time of 0.2 hours.
Juan lives 2.5 miles from the park, and it took him 12 minutes to ride his bicycle there. To find Juan's average speed in miles per hour, we need to follow a few steps. First, we convert the time taken into hours because speed is often expressed in miles per hour (mph).
12 minutes is equal to 12 / 60 hours, which is 0.2 hours. Then, we use the formula for average speed:
Average speed = Total distance / Total time
So for Juan's trip, we get:
Average speed = 2.5 miles / 0.2 hours = 12.5 mph.
Therefore, Juan's average speed was 12.5 mph.
A restaurant has 26 tables in its dining room. It takes the waitstaff 10 minutes to clear and set 4 tables. At this rate, how long will it take the waitstaff to clear and set all the tables in the dining room?
Answers
The time it will take the waitstaff to clear and set all the 26 tables in the dining room is;
1 hour 5 minutes
We are told that the waitstaff takes 10 minutes to clear and set 4 tables.Thus, rate of clearing and setting 1 table = 10/4
rate of clearing and setting 1 table = 2.5 minutes per table
Now, we want to find out how long it will take her to clear and set 26 tables at the rate we got above.By use of proportions, we can find it as;
Time it takes to clear and set 26 tables = 2.5 × 26
Time it takes to clear and set 26 tables = 65 minutes
We know that 60 minutes make 1 hour, thus converting the time to hour and minute gives us;
1 hour 5 minutes
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multiply the number of letters in the alphabet by the number of noses on a rabbit. What's the product