Answer: 124
Step-by-step explanation:
As we know, the total number of positive divisors of n is the product of one more than each exponent in the prime factorization of n.
We know this product is equal to 11.
Since 11 is prime, so there can be only one number in this product, so the prime factorization of n must be [tex]$n=p^{10}$[/tex], where p is a prime number.
We take a cube of the prime factorization of n to give us a prime factorization for [tex]n^3[/tex]
[tex]$$n^{3}=\left(p^{10}\right)^{3}=p^{30} .$$[/tex]
We see that [tex]n^{3}\text{ has }$30+1=31$[/tex] positive divisors.
Now, [tex]8n^3=2^3\times p^{30}[/tex]
Totald divisiors = [tex](3+1)(30+1)=4\times31=124[/tex]
Hence, the number of positive divisors of [tex]8n^3=124[/tex]
Frank has $8000 that he plans to split into two investments. He wrote the following two equations to represent the interests he will earn from each of the two investment options.
Answer:
I still think you equations are wrong...
4000/4000 not 400/400
Step-by-step explanation:
2000 A+ 6000B=520
4000A+4000B =480
~~~~~~~~~~~~~~~~~~~~~
2000 A+ 6000B=520
-2000A - 2000B =-240
4000B = 280
B=7%
A=5%
Find (-3/7) / (-1 1/14).
45/98
2/5
2 1/2
-2/5
Answer:
option B . [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
[tex](-\frac{3}{7}) \div (-\frac{15}{14}) = (-\frac{3}{7}) \times (-\frac{14}{15}) = \frac{3 \times 14}{7 \times 15} = \frac{2}{5}[/tex]
Answer:
2/5
Step-by-step explanation:
(-3/7) / (-1 1/14) = 0.4
0.4 = 4/10
simplified = 2/5
I hope this helps uwu.
6 + {1 + [−(3 + 5) − 8] + 2} + 10 pleasee!!!
[tex]6 + (1 + ( - (3 + 5) - 8) + 2 \\ 6 + (1 + 2 - 8) + 2 + 10 \\ 6 + ( - 5) + 2 + 10 \\ 6 - 5 + 2 + 10 \\ \\ = 13[/tex]
Final Answer: 13Step By Step Explanation:
Calculate: Calculate the sumCalculate: Calculate the sum or differenceRemove the parentheses: When there is a + in front of an expression in parentheses, the expression remains the sameCalculate: Calculate the sum or difference☆彡HannaMolly starts riding her bike to school 20 minutes after her brother Jonas
does. Molly pedals 12 miles per hour, and Jonas pedals 9 miles per hour.
How much time will it take for Molly to catch up to Jonas?
Answer:
It will take Molly 1 hour to catch up to Jonas.
Step-by-step explanation:
Since Molly starts riding her bike to school 20 minutes after her brother Jonas does, and Molly pedals 12 miles per hour, and Jonas pedals 9 miles per hour, to determine how much time will it take for Molly to catch up to Jonas the following calculation has to be done:
Jonas = 9 miles per 60 minutes = 3 miles per 20 minutes
Molly = 12 miles for 60 minutes
Jonas = 3 miles + 9 = 12
Molly = 12
Therefore, it will take Molly 1 hour to catch up to Jonas.
Given the graph of the line, choose two points and find the slope. Construct the equations for each of the
points you chose in point slope form. Show your work and explain each step.
*The graph is in the picture *
PLEASE HELP I WILL GIVE BRAINLIST
Step-by-step explanation:
First, given that we must use point slope form, we can define that as
y - y₁ = m (x-x₁), with m being the slope .
To find the slope, we can use the equation
[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]. Two points on the graph are (0, 1) and (1, 3). For these points, when calculating the slope, 0 and 1 represent x₁ and y₁ respectively, while 1 and 3 represent x₂ and y₂ respectively Using this formula, we can plug our points in to get
[tex]\frac{3-1}{1-0} = 2/1 = 2[/tex]
as our slope. Therefore, our equation is
y - y₁ = 2 (x-x₁).
For our first point, (0,1), we can simply plug 0 in for x₁ and 1 in for y₁ to get
y - 1 = 2(x-0) as one equation
Next, for (1,3) we can plug 1 for x₁ and 3 for y₁ to get
y - 3 = 2 (x-1) as our other equation
Please answer thanks! Brainliest
Step-by-step explanation:
The last two answers is correct
Answer:
4
Step-by-step explanation:
The answer to T - H is negative
Find the equation of the parabola that has zeros of x = –2 and x = 3 and a y–intercept of (0,–30).
A)
y = x2 – 5x – 30
B)
y = 5x2+ 5x – 30
C)
y = –5x2 + 5x + 30
D)
y = 5x2 – 5x – 30
It's the letter B y=-5x2+5x+30.
please help me solve this..
Answer:
5
Step-by-step explanation:
Let a = number of pieces of chocolate bought by Amin.
Let b = number of pieces of chocolate bought by Bob.
b = 2a
(a - 3)(b - 3) = 14
ab - 3a - 3b + 9 = 14
a(2a) - 3a - 3(2a) = 5
2a^2 - 3a - 6a = 5
2a^2 - 9a - 5 = 0
(2a + 1)(a - 5) = 0
2a + 1 = 0 or a - 5 = 0
a = -1/2 or a = 5
Amin cannot have bought -1/2 pieces of chocolate, so we discard the soluion a = -1/2.
a = 5
Answer: 5
Solve for x. Assume that lines which appear tangent are tangent. x=
Answer:
this is a long shot( like rly long) but try either -6 or -3
Step-by-step explanation:
Don't co.e for me if I'm wrong im just a poor girl in year 8
2. Select all the irrational numbers. *
A. 6pi
B. - square root of 49
C. -1.405
_
D. -0.3
E. e
F. square root of 2
Answer:
F.
Step-by-step explanation:
Justins rice ball recipe uses 100 grams of rice to make 1 rice ball. Justin has 700 grams of rice. How many rice bals can juctin make with 700 grams of rics?
Answer:Justin can make 7 rice balls with 700 grams of rice
Step-by-step explanation:
IF 100 grams of rice can make 1 rice ball.
Therefore, 700 grams of rice can make 700grams x 1 rice ball/ 100 grams
=7 rice balls
Therefore Justin can make 7 rice balls with 700grams of rice
Cho ∆ABC;phân giác AD,BE,CF cắt nhau tại I . a, Góc IAC+góc IBC+ góc ICA=? b, Kẻ IH vuông góc với BC . C/m Góc BIH=góc CID
9. Estimate the solution to the system
of equations by graphing. Write the
solution.
y=4-X
x + 3y = 5
( , )
Round the following values to 2 significant figures 0.0653
Answer:
The answer is 0.065
Step-by-step explanation:
0 doesn't count if it's before a start of a number when rounding to a significant figure
pa help po............. ............
Answer:
ΔABC
∠9 = ∠19 + ∠21
∠7 = ∠20 + ∠21
∠8 = ∠19 + ∠20
ΔXYZ
∠3 = ∠11 + ∠12
∠5 = ∠10 + ∠12
∠4 = ∠10 + ∠11
ΔNOR
∠1 = ∠5 + ∠6
∠2 = ∠ 4 + ∠5
∠3 = ∠4 + ∠6
Step-by-step explanation:
According to the exterior angle theorem, the exterior angle of a triangle is equal in measurement to the sum of the two interior angles of the triangle;
In triangle ΔABC, we have;
∠9 = ∠19 + ∠21
∠7 = ∠20 + ∠21
∠8 = ∠19 + ∠20
In triangle ΔXYZ, we have;
∠3 = ∠11 + ∠12
∠5 = ∠10 + ∠12
∠4 = ∠10 + ∠11
In triangle ΔNOR, we have;
∠1 = ∠5 + ∠6
∠2 = ∠ 4 + ∠5
∠3 = ∠4 + ∠6
Please help…………………………….
if i'm correct its 7x
Answer:
Domen is [ -2 , infinitely) or can be written as
-2 < x < infinitely in inequality form.
Step-by-step explanation:
if (x+2) is negative than function will be imaginary so to be real function (x+2) should be positive
hence answer is : Domen = -2 < x < infinitely or can be written as [ -2 , infinitely )
if f(x) =4x²+1 and g(x) =x²-5, find (f-g)(x)
Answer:
(f-g)(x)=4x^2+1-x^2+5
=3x^2+6
=3(x^2+2)
make x the subject of the formula
y=a√x
Answer:
y=a√x
y/a=a√x/a a will cancel out on the right side of the equation
therefore, √x=y/a
x=√y/x
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?
The question is incomplete, the complete question is:
The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system?
x + 3y = 42
2x − y = 14
A: Multiply the second equation by -3. The solution is x = 12, y = 9.
B: Multiply the second equation by -2. The solution is x = 12, y = 10.
C: Multiply the second equation by 2. The solution is x = 15, y = 9
D: Multiply the second equation by 3. The solution is x = 12, y = 10
Answer: The correct option is D.
Step-by-step explanation:
The elimination method is a technique wherein we eliminate the coefficient of any one variable.
The given equations are:
x + 3y = 42
2x − y = 14
We multiply the second equation by (3) and the equations formed are:
x + 3y = 42
6x − 3y = 42
The final equation after eliminating the y-term becomes:
7x = 84
x = 12
Putting value of 'x' in any of the original equation, we get:
⇒ 12 + 3y = 42
⇒ 3y = 30
⇒ y = 10
Hence, the correct option is D.
Factorise completely the expression below: 6ax+12by-9ay-8bx
Answer:
Step-by-step explanation:
6ax +12by -9ay -8bx
=6ax -8bx -9ay +12by
=2x(3a -4b)-3y(3a -4b)
=(2x-3y)(3a-4b)
Calculate the area of a circle with a radius of 16.9 centimeters.
a. about 224.32 cm2
c. about 106.19 cm2
b. about 212.37 cm2
d. about 897.27 cm2
Answer:
I'd say 897.27cm². That's the vlosest answer that I see.
1 + 4.25n + 3/2p – 3 + (–2p) + 5/4n simplify
A. 5.5n – 1/2p – 2
B. 9.5n + 1.5p – 2
C. 9/4n − 1.5p − 4
D. 3.75n – p + 1
[tex]\longrightarrow{\green{A.\:5.5 \: n - \frac{1}{2} \: p - 2}}[/tex] ✔
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]1 + 4.25 \: n + \frac{3}{2} \: p - 3 + ( - 2 \: p) + \frac{5}{4} \: n [/tex]
Combining like terms, we have
[tex] = 4.25 \: n + \frac{5}{4} \: n + \frac{3}{2} \: p - 2 \: p + 1 - 3 \\ \\= 4.25 \: n + 1.25 \: n + 1.5 \: p - 2 \: p - 2 \\\\ = 5.5 \: n - 0.5 \: p - 2 \\ \\ = 5.5 \: n - \frac{1}{2} \: p - 2[/tex]
[tex]{\huge{\boxed{\sf{\pink{Mystique35}}}}}[/tex]
the ratio of blue to yellow paint when mixed to make green paint is 3:2 what percentage of the green paint is made from yellow paint
Answer:
40%
Step-by-step explanation:
3 + 2 = 5
Since 2 is the ratio of yellow paint, 2/5 x 100 = 40%
Hope this helped!
Please help me solve my problem!!!
Answer:
FH is the smallest angle since it is lesser than all the other ones.
Could someone help me with 2, 9, 10, 11, 12 13, and 14?
Answer:
13. (1) x + 8x = 32
14. $337.5
Step-by-step explanation:
14. $270 x 0.25 = 67.5
270 + 67.5 = 337.5
I am sorry. I only got these-
Figure A is a scale image of Figure B.
What is the value of x?
NO LINK. OR I WILL REPORT YOU.
Answer:
4.4
Step-by-step explanation:
x / 4 = 11 / 10
x = ( 4 x 11 ) / 10
= 44 / 10
x = 4.4
Answer:
5
Step-by-step explanation:
To measure scale factors, you have to measure how much units apart each triangle is, and apply the same length to x on figure A.
Here is the equation I used:
10-4=6
11-6=5
Both triangles are 6 units in difference.
i want 2 equivalent fractions for 25/90 and for 106/300
Answer:
25/90 there is 150/270 and 5/18
for 106/300 there is 53/150 and 212/600
Answer:
for 25/90 divide by 5 to get 5/18. For 106/30 divide both by 2 to get 53/150.
Can someone help me?It's urgent and thank you!
Answer:
575.71
Step-by-step explanation:
Year 1: 960 x .88 (100%-12%)=844.80
Year 2: 844.80 x .88 =743.424
Year 3: 743.424x.88=654.21
Year 4: 654.21 x .88=575.71
A 12-foot ladder is leaning against a wall. The distance from the base of the wall to the base of the ladder is 6 StartRoot 2 EndRoot feet. Given this information, what can be determined about the triangle formed by the ground, wall, and ladder? Check all that apply.
Answer:
a
b
d
e
Step-by-step explanation:
he triangle is isosceles.
The leg-to-hypotenuse ratio is 1:StartRoot 2 EndRoot.
The leg-to-hypotenuse ratio is 1:StartFraction StartRoot 2 EndRoot Over 2 EndRoot. The nonright angles are congruent. The ladder represents the longest length in the triangle.
Answer:
a,b,d,e
Step-by-step explanation:
answer
Math help please thanks
Answer:
x = 10.5
Step-by-step explanation:
The first thing you have to do is to find out what you multiplied (say) 2 by to get 3.5 and then try it again with another number.
2k = 3.5 Divide by 2
k = 3.5 / 2
k = 1.75
Now try it on another number. What do you multiply 4 by to get 7
4k = 7 Divide by 4
k = 7/4
k = 1.75
So here's what's going on. If you multiply every dimension you are given on the left pentagon (it's not regular) by 1.75, you should get the corresponding number on the right.
To get x you need to multiply 6 by 1.75
x = 6*1.75
x = 10.5