Answer: [tex]\frac{x^{20}}{y^{15}}[/tex]
This is the same as writing (x^20)/(y^15)
===================================================
Work Shown:
[tex]\left(x^{-4}y^3\right)^{-5}\\\\\left(x^{-4}\right)^{-5}*\left(y^3\right)^{-5}\\\\x^{-4*(-5)}y^{3*(-5)}\\\\x^{20}y^{-15}\\\\\frac{x^{20}}{y^{15}}[/tex]
In the second step, I used the rule that (a*b)^c = (a^c)*(b^c)
In step 3, I used the rule (a^b)^c = a^(b*c)
In the last step, I used the rule a^(-b) = 1/(a^b)
4 people will equally split 142.6 acres of land. How much land will each person get? acres
Answer:
35.65 acres
Step-by-step explanation:
Answer:
35.65 acres
Step-by-step explanation:
Just divide 142.6 by 4 for the (four people)
Are the ratios 9:18 and 1:2 equivalent?
Answer:
yes
Step-by-step explanation:
(1:2)x2=9/18
yes the ratios 9:18 and 1:2 equivalent
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
We need to check whether the ratios 9:18 and 1:2 are equivalent.
Equivalent ratios are the ratios that are the same when we compare them.
Two or more ratios can be compared with each other to check whether they are equivalent or not.
Here the two ratios are 9:18 and 1:2
We can write 9:18 as fraction 9/18
When we simplify it we get 1/2
Hence, yes the ratios 9:18 and 1:2 equivalent
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GIVING BRAINLIEST AND 100 POINTS! (Only if you include explanation)
6- 1 4/6?
Answer:
4 1/3
Step-by-step explanation:
6-1 4/6
5 6/6-1 4/6
66-4/6=1/3
4+1/3
=4 1/3
Answer:
[tex]\sf 4\dfrac{1}{3}[/tex]
explanation:
[tex]\hookrightarrow \sf 6 - 1\dfrac{4}{6}[/tex]
turn mixed to improper fraction
[tex]\hookrightarrow \sf 6 - \dfrac{10}{6}[/tex]
make the denominators same
[tex]\hookrightarrow \sf \dfrac{6(6)}{6} - \dfrac{10}{6}[/tex]
expand
[tex]\hookrightarrow \sf \dfrac{36}{6} - \dfrac{10}{6}[/tex]
simplify, join both fractions together
[tex]\hookrightarrow \sf \dfrac{36-10}{6}[/tex]
simplify
[tex]\hookrightarrow \sf \dfrac{26}{6}[/tex]
[tex]\hookrightarrow \sf \dfrac{13}{3}[/tex]
change improper to mixed fraction
[tex]\hookrightarrow \sf 4\dfrac{1}{3}[/tex]
The polynomial equation x^(3)-x=0 has exactlty one positive root and exactly one negative real root. Please select the best answer from the choices provided T F
Answer: T
Step-by-step explanation:
A jar contains 1200 ml of milk.
How many litres and ml of milk is in
the jar?
Answer:
1.2 liters
Step-by-step explanation:
I really need help answering this question, the question is the attachment below.
Answer:
49.6
Step-by-step explanation:
Answer:
Please mark as brainliest;)
Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
A bag contains 8 white, 5 red and 7 black balls. If three balls are picked out one at a time at random and not returned to the bag (i.e. without replacement). What is the probability that in the sample there will be 3 red balls.
Answer:
15 percent
Step-by-step explanation:
3/20 multiply the fraction by 5 to equal 100, thus creating 15/100
On each of ner birthdays. Bernadette blew out a number of candles
equal to her age in years. She lived to be 107. How many candles
did she blow out during her lifetime? (She had some help the first
few years but they all count)
Answer:
5778
Step-by-step explanation:
1+2+3+4+5+....+105+106+107
The sequence of numbers (1, 2, 3, … , 107) is arithmetic and when we are looking for the sum of a sequence, we call it a series. Thanks to Gauss, there is a special formula we can use to find the sum of a series:
S=n(n+1)/2=11556÷2=5778
S is the sum of the series and n is the number of terms in the series, in this case, 107
There are other ways to solve:
This is an arithmetic series, for which the formula is:
S = n[2a+(n-1)d]/2
where a is the first term, d is the difference between terms, and n is the number of terms.
For the sum of the first 107 whole numbers:
a = 1, d = 1, and n = 107
Therefore, sub into the formula:
S = 107[2(1)+(107-1)(1)]/2 =
107(2+106)/2=107*108/2=5778
so she blow out 5778 candless during her lifetime
Can someone help me with my homework need to divide fractions
Answer:
yeah sure
Step-by-step explanation:
. Andrew is deciding whether to purchase Car A or Car B. He wants
to buy the car that has the best mileage per gallon of gas. Car A
gets 23.7 miles per gallon of gas. Car B can travel 374 miles on
17 gallons of gas. Which car has the better gas mileage?
A. Car A
B. Car B
C. They have the same mileage. D. You need more information. .
Answer:
B. Car A
Step-by-step explanation:
To find the unit rate divided 374 and 17
374 ÷ 17 = 22
Car B 22 miles per gallon
Car A 23.7 miles per gallon
Car A is a better by because it has more mileage.
PLEASE PLEASE HELP ASAP!!
Answer: B
Step-by-step explanation:
Group the variables together: 3i + 2i -3i = -4i
Then for the fractions: 3/4 - 9/3 = -9/4
Answer:
B. (-9/4 -4i)
Step-by-step explanation:
I need really good support in this!
Answer:
○ D. [tex]\displaystyle -8, -3, 1, 5[/tex]
Explanation:
The greatest negative quantity will ALWAYS be the least. That is all there is to it. ♂️
I am joyous to assist you at any time.
Find the distance between the points (-7,-6) and (4,-6)?
Answer:
Step-by-step explanation:
the distance between the two points are 11.
the slope is m=0
Answer:
11 units
Step-by-step explanation:
[tex]Solution,\\\\Let,\\\\(x_1,y_1)=(-7,-6)\\\\(x_2,y_2)=(4,-6)\\\\Now,\\\\Using\:distance\:formula,\\\\\hookrightarrow d=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2} } \\\\\hookrightarrow d=\sqrt{(4-(-7))^{2} +(-6-(-6))^{2} } \\\\\hookrightarrow d=\sqrt{(11)^{2} +(0)^{2} }\\\\\hookrightarrow d=\sqrt{121} \\\\\hookrightarrow d=11\: units[/tex]
a motorist left home at 10 a.m. to travel to a cityof a distance of 260 km he reckoned hecould average 80km/ h at what time would he arrive at the city
Answer:
He would get there at 1:15 (I did this in my head, may be wrong)
Step by step solution:
We know the motorist left home at 10. We can divide the 260/80 and we get 3 hrs, we still have 20 km left over, keep on dividing and you get 1:15 p.m.
write an equation that you can use to determine the number of hours for which it would cost $270 to hire brian then solve the equation
Answer:
How do you write an equation for problem solving?Here are some steps to follow:Understand the problem. Understand all the words used in stating the problem. Understand what you are asked to find. ... Translate the problem to an equation. Assign a variable (or variables) to represent the unknown. ... Carry out the plan and solve the problem.
Step-by-step explanation:
What is the probability the student rolls a 6 and flips the quarter on tails?
Answer:
1/12
Step-by-step explanation:
the probability of landing on 6 is 1/6 and the probability of a tails is 1/2, so 1/6*1/2=1/12
Which equation is true for x = 1.8?
Answer:
I found the full question online, the answer is 5.4 = 3.6 + x
What role do plants play in the nitrogen cycle?
Answer:
Plants absorb nitrates from nearby soils to create proteins. Fertilizer also helps because it makes the soil even richer, allowing for more nitrates, which means more proteins.
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
V=72
Step-by-step explanation:
4x6=24
24x3=72
WxBxH=V
B=6
W=3
H=4
Find the height of a cone with a diameter of 12 m whose volume is 904 m3.
Use 3.14 for 1 and round your answer to the nearest meter.
A. 24 m
B. 8 m
C. 48 m
D. 6 m
Answer:
24 m that is the answer to the question
The height of the cone is 24 meters.
Option A is the correct answer.
What is a cone?It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.
We have,
The formula for the volume of a cone.
V = (1/3)πr²h
Where r is the radius of the base and h is the height.
The diameter of the cone = 12 m.
So,
The radius is half of the diameter:
r = 12/2
r = 6 m
Now,
The volume of the cone is 904 m³.
Substituting the known values into the formula.
904 = (1/3) × 3.14 × 6 x 6 × h
Simplifying the equation.
904 = 37.68 h
Dividing both sides by 37.68.
h = 23.99
h = 24
Therefore,
The height of the cone is 24 meters.
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A 12-ounce box of cereal costs $3.29. An 18-ounce box of cereal
costs $4.59. Which box of cereal is the better deal?
A. The 18-ounce box
C. Both boxes cost the same
per ounce.
B. The 12-ounce box
D. You need more information.
72
Answer:
12 ounce of cereal it will be a far one
[tex]\rm \lim \limits_{n \to \infty } {n}^{ - \frac{1}{2} ( \frac{n + 1}{n} )} (1 \times {2}^{2} \times {3}^{2} \times \dots \times {n}^{n} {)}^{ \frac{1}{ {n}^{2} } } [/tex]
[tex]\rule{200pt}{2pt}[/tex]
[tex] \rm I= \sum \limits_{k = 1}^{98} \int_{k}^{k + 1} \frac{k + 1}{x (x+ 1)} \: dx, then \\ [/tex] [tex] \rm[A] \phantom{gg}I>log_e99 \\ \\ \rm [B] \phantom{gg}I < log_e99 \\ \\ \rm[C] \phantom{hffgg} I < \frac{49}{50} \\ \\ \rm[D] \phantom{gfffg} I > \frac{49}{50} \\ [/tex]
Using the exp-log technique,
[tex]\displaystyle \lim_{n\to\infty} \frac{\left(1 \times 2^2 \times 3^3 \times \cdots \times n^n\right)^{\frac1{n^2}}}{n^{\frac{n+1}{2n}}}[/tex]
[tex]\displaystyle = \exp\left(\lim_{n\to\infty} \frac{\ln\left(\prod\limits_{k=1}^n k^k\right)}{n^2} - \frac{n+1}{2n} \ln(n)\right)\right)[/tex]
[tex]\displaystyle = \exp\left(\lim_{n\to\infty} \frac{\sum\limits_{k=1}^n k\ln(k)}{n^2} - \frac{n+1}{2n} \ln(n)\right)\right)[/tex]
We have ln(k) = ln(k/n) + ln(n), and so we can rewrite the limand as
[tex]\displaystyle = \exp\left(\lim_{n\to\infty} \left(\frac1n \sum\limits_{k=1}^n \frac kn \ln\left(\frac kn\right) + \frac{\ln(n)}{n^2} \sum_{k=1}^n 1 - \frac{n+1}{2n} \ln(n)\right)\right)[/tex]
Then the first sum converges to a definite integral,
[tex]\displaystyle \lim_{n\to\infty} \frac1n \sum_{k=1}^n \frac kn \ln\left(\frac kn\right) = \int_0^1 x \ln(x) \, dx = -\frac14[/tex]
while the remaining terms vanish since
[tex]\displaystyle \frac{\ln(n)}{n^2} \sum_{k=1}^n 1 = \frac{\ln(n)}{n^2} \times \frac{n(n+1)}2 = \frac{n+1}{2n}\ln(n)[/tex]
So the limit is [tex]\boxed{e^{-1/4}}[/tex].
Since
[tex]\dfrac1{x(x+1)} = \dfrac1x - \dfrac1{x+1}[/tex]
it's easy to show that the integral reduces to
[tex]\displaystyle \int_k^{k+1} \frac{k+1}{x(x+1)} \, dx = (k+1) \ln\left(\dfrac{(k+1)^2}{k(k+2)}\right)[/tex]
so we can write the sum as
[tex]I = \displaystyle \sum_{k=1}^{98} \int_k^{k+1} \frac{k+1}{x(x+1)} \, dx = \sum_{k=2}^{99} k \ln\left(\frac{k^2}{k^2-1}\right)[/tex]
We have k²/(k² - 1) > 1 for all k, so that ln(k²/(k² - 1)) > ln(1) = 0. We can see the first 3 terms of the sum already exceed 1 > 49/50, so (D) is true.
Numerical computation of the sum suggests I < ln(99), but I have yet to come up with an analytical solution for this bound...
What is the value of tan(A) in the diagram?
Emma spent $60.20 on 5 dozen bagels and a gallon of iced tea. The price of the gallon of iced tea was $5.25. The following equation can be used to find d, the price of each dozen of bagels. 5d + 5.25 = 60.2 What was the price of each dozen of bagels?
23.23 - 5.25 = 17.98
d = 17.98 ÷ 2
d = 8.99
The answer is B. $8.99
Grade 7 lesson 5 terminating and repeating decimals quiz
Answer:
I need more context.
Step-by-step explanation:
Josiah downloads 44 songs, including 16 songs by his favorite band. A. Express as a decimal the amount of songs by his favorite band that Josiah downloaded our od the total number of downloads
Need help please please
Answer:
A
Step-by-step explanation:
Translates up 2 right 3.
Rotates 180 degrees.
1/3 equivalent fraction
Answer:
Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value. For example, 2/4 and 3/6 are equivalent fractions, because they both are equal to the ½. A fraction is a part of a whole.
2/6
3/9
4/12
Step-by-step explanation:
1 × 2 / 3 × 2 = 2/6
1 × 3 / 3 × 3 = 3/9
1 × 4 / 3 × 4 = 4 /12
Answer:
2/6
Step-by-step explanation:First, you multiply both numbers then you have 2/6. :)
Determine the absolute value. Type the numerical answer only. -l12l
Answer:
-12
cause l12l is 12 then u add the negative sign.
Step-by-step explanation: