Answer:
hope this helps :D
Step-by-step explanation:
Perfect cube factors:
If a number is a perfect cube, then the power of the prime factors should be divisible by 3.
Example 1:Find the number of factors of293655118 that are perfect cube?
Solution: If a number is a perfect cube, then the power of the prime factors should be divisible by 3. Hence perfect cube factors must have
2(0 or 3 or 6or 9)—– 4 factors
3(0 or 3 or 6) —– 3 factors
5(0 or 3)——- 2 factors
11(0 or 3 or 6 )— 3 factors
Hence, the total number of factors which are perfect cube 4x3x2x3=72
Perfect square and perfect cube
If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.
Example 2: How many factors of 293655118 are both perfect square and perfect cube?
Solution: If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.Hence both perfect square and perfect cube must have
2(0 or 6)—– 2 factors
3(0 or 6) —– 2 factors
5(0)——- 1 factor
11(0 or 6)— 2 factors
Hence total number of such factors are 2x2x1x2=8
Example 3: How many factors of293655118are either perfect squares or perfect cubes but not both?
Solution:
Let A denotes set of numbers, which are perfect squares.
If a number is a perfect square, then the power of the prime factors should be divisible by 2. Hence perfect square factors must have
2(0 or 2 or 4 or 6 or 8)—– 5 factors
3(0 or 2 or 4 or 6) —– 4 factors
5(0 or 2or 4 )——- 3 factors
11(0 or 2or 4 or6 or 8 )— 5 factors
Hence, the total number of factors which are perfect square i.e. n(A)=5x4x3x5=300
Let B denotes set of numbers, which are perfect cubes
If a number is a perfect cube, then the power of the prime factors should be divisible by 3. Hence perfect cube factors must have
2(0 or 3 or 6or 9)—– 4 factors
3(0 or 3 or 6) —– 3 factors
5(0 or 3)——- 2 factors
11(0 or 3 or 6 )— 3 factors
Hence, the total number of factors which are perfect cube i.e. n(B)=4x3x2x3=72
If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.Hence both perfect square and perfect cube must have
2(0 or 6)—– 2 factors
3(0 or 6) —– 2 factors
5(0)——- 1 factor
11(0 or 6)— 2 factors
Hence total number of such factors are i.e.n(A∩B)=2x2x1x2=8
We are asked to calculate which are either perfect square or perfect cubes i.e.
n(A U B )= n(A) + n(B) – n(A∩B)
=300+72 – 8
=364
Hence required number of factors is 364.
In a certain year, there were 300 congressional
seats in a country's congress. The population of
one state was 1,312,127 and its standard quota
was 7.2513. Find the country's population in the
given year.
The country's population was
(Type a whole number.)
people.
Answer:
There would be 54,307,200 people
Step-by-step explanation:
(-8, -1); slope = - 3/4
Pleaseee this onee!!
Answer:
y = -3/4x - 7
Step-by-step explanation:
Slope intercept:
y - y1 = m(x - x1)
y + 1 = -3/4(x + 8)
y + 1 = -3/4x - 6
y = -3/4x - 7
help lol sjdnwkfnnsnfnsndnwmdn
Answer:
m<2 = 40°
Step-by-step explanation:
<1 and <2 area corresponding angles. Corresponding angles are congruent.
m<1 = 40° (given)
Therefore,
m<2 = m<1 = 40°
m<2 = 40°
A worm moves forward 3/8 inch every 5 minutes for 1 hour 25 minutes. How far does the worm move in this time? Explain
Answer:
6 3/8 inches
Step-by-step explanation:
let 'x' = distance in 1 hr, 25 minutes (which is 85 minutes)
(3/8 ÷ 5) = x ÷ 85
cross-multiply:
5x = 255/8
40x = 255
x = 6 3/8
Find the value of 24/25 divided by 2/5. Show your reasoning.
Answer:
12/5 or 2 2/5
Step-by-step explanation:
Multiply by the reciprocal then reduce the numbers with the greatest common factor, leaving 12/25*5 then multiply that and get your answer
PLEASE HELP ILL MAKE BRAINLIEST ASAP
The amount of money in a bank account increased by 18.5% over the last year. If the amount of money at the beginning of the year is represented by n, which expression represents the amount of money in the bank account after the increase? Select all that apply.
A
n + 0.185n
B
n + 18.5n
C
1.185n
D
0.185n
E
18.5n
F
19.5n
Answer:
A
Step-by-step explanation:
Question 4 of 25 Use the substitution method to solve the system of equations the correct ordered par x+y=5 y=7
Answer:
x = -2
y = 7
Step-by-step explanation:
x+y=5
y=7
x+y=5
x + 7 = 5
x = -2
x+y=5
-2 + y = 5
y = 7
please help me fast thanks
Answer:
if I am not wrong I think the anwser will be 2.3
Answer:
It's 3
Step-by-step explanation:
7 can't be divided by 3 so you leave it as a fraction
If 20% of a number is 12, then what is 30% of the same number
Answer:
18
Step-by-step explanation:
0.2x = 12
Same as: 1/5x = 12
Multiply both sides by 5
x = 60
0.3 * 60 = 18
can anyone solve these and show work? please help a girl out lol
depressed ppl say here
here
hehbsheheuehebdbd
Answer:
lol are you depressed ..........
Which expression is equivalent to ( + )?
Answer:
No entiendo que es lo que hay qué hacer
who is involved in the stimulus check please help me i really need help please
Answer:
Go on the IRS website and fill out the form.... this is what heard beetween a conversion with my brother and dad
Step-by-step explanation:
Write without exponents (y^2)^4
Answer:
Step-by-step explanation:
Answer: y times y 8 times
Apply Exponent Rule
Simplified Form y^8
To write without exponents is basically just writing out y times itself 8 times.
30 POINTS FOR BRAINLIEST ANSWER!!!!!!!
You want to be able to withdraw $40,000 each year for 15 years. Your account earns 9% interest. How much
do you need in your account at the beginning?
Answer:
40000×1×9%=3 600 this is for year
Recall that a conflict of interest scenario was presented to a sample of 200 marketing researchers and that 109 of these researchers disapproved of the actions taken. (a) Let p be the proportion of all marketing researchers who disapprove of the actions taken in the conflict of interest scenario. Set up the null and alternative hypotheses needed to attempt to provide evidence supporting the claim that a majority (more than 50 percent) of all marketing researchers disapprove of the actions taken.
Answer: Null hypothesis: [tex]p\leq0.50[/tex]
Alternative hypothesis: [tex]p>0.50[/tex]
Step-by-step explanation:
A null hypothesis is a type of hypothesis that states that there is no difference between a particular parameter of a population whereas an alternative hypothesis states that there is a difference.Given: p = Proportion of all marketing researchers who disapprove of the actions taken in the conflict of interest scenario.
n= 200
Sample proportion = [tex]\hat{p}=\dfrac{109}{200}=0.545[/tex]
Claim : p>0.50
Null hypothesis: [tex]p\leq0.50[/tex]
Alternative hypothesis: [tex]p>0.50[/tex]
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
[tex] \sqrt{18 } is \: a \: \: answer \: pls \: follow \: me[/tex]
Answer:
Step-by-step explanation:
-3i Square root of 2
Please help!!! Also if you could show work I need it!
Which segment is the MEDIAN of the triangle?
Answer:
R
Step-by-step explanation:
Find the missing side of this right
triangle.
12
Х
8
X=
V[?]
Enter the number that belongs in the green box.
Answer:
The number 80 should go in the green box
Step-by-step explanation:
To solve this equation you will need to use the pythagorean theorem. Which is a^2 + b^2 = c^2. Also you will need to know where the legs and hypotenuse of the triangle are. The hypotenuse is the longest side of the triangle. So that would be the side marked 12. Then the other two sides are legs.
To solve for x you need to input your known numbers into the pythagorean theorem and solve. To know where the numbers go, a and b of the equation are the legs of the triangle and c is the hypotenuse. I solved the equation for you in the photo I inserted.
Hope that helped you!
Max used 3 7/8 pounds of yellow potatoes and 2 5/8 pounds of sweet potatoes to make a potato salad. How many more pounds of yellow potatoes than sweet potatoes did Max use?
Step-by-step explanation:
[tex]\tt{}3 \frac{7}{8} - 2 \frac{5}{8} [/tex]
[tex]\tt{}(3 -2) + ( \frac{7}{8} - \frac{5}{8} )[/tex]
[tex]\tt{}1 + \frac{1}{4} [/tex]
[tex]\tt{}1 \frac{1}{4} [/tex]
[tex]\tt{} \frac{5}{4} [/tex]
[tex]\tt{}1.25[/tex]
i need help i will crown brainiest
Answer:25 if your looking for the number of ways to order 5 objects
Step-by-step explanation:
If your looking for the probability of 1 number the ways for it to be arranged l believe It is 5x5 hope this helps
Show work please and thanks
A marble is drawn at random from the bag shown below. The bag contains 3 green, 4 yellow, 5 blue, and 8 pink
marbles.
What is P(not yellow)?
A 1/5 B 2/5 C 4/5
Answer: c 4/5
Step-by-step explanation: out of 5 only four are chosen leaving us with an answer of 4/5 :D hope it helped
Someone needs to hear this. So here it is. God will pull you through. You just need to have faith. You just have to keep going. Do not give up. Things will get better. What is important to you is important to the lord. So pray and He will listen.
Answer: thank you
Step-by-step explanation:
Answer:
Thanks!
Step-by-step explanation:
Write An Equation
Write an equation for a parabola that opens up, is narrower than [tex]y=x^{2}[/tex], and has vertex (2, -5)
Write an equation for a parabola that opens down, is wider than [tex]y=x^{2}[/tex], and has vertex (-4, 3)
Answer:
1) y = 2(x - 2)² - 5
2) y = -(x + 4)² / 2 + 3
This question: 00:26 Level 4: Multiplying Mixed and Whole Numbers 16.7% Complete Q. One of your clients at Wills, Trusts & Estates Law, PLLC passes away. His estate is worth $72,000. He leaves half to charity, and to each of his four children. How much will each child receive? $ HINT + A Report Content Errors
The question is stated in such a garbled, convoluted, ambiguous way that it's hard to go to an answer.
With a few reasonable assumptions, it looks to me like each son gets $9,000.
5) If the property tax on a $100,000 home is $1500, what is the tax on a
$ 120,000 home?
Answer:
Calculate property taxes based on assessed value and a tax rate. California property tax calculations with annual assessment increases up to 2% ... Tax Rate: The annual tax rate used to compute your property taxes.
Which property is illustrated by each equation?
a. a + (b + c) = (a + b) + C
b. ab
= ba
c. a (b + c) = ab + ac
Answer:
a. = associative
b. = communitive
c. = distributive