Determine whether 7^2m · 6^2m is equivalent to each of the following expressions:
42^6m
42^m
42^9m
Answers
Answer:
Not equivalent to any of the options
Step-by-step explanation:
Given:
7^2m * 6^2m
Since, they both have different bases, multiply the bases and add the powers
7^2m * 6^2m
= (7 * 6)^(2m + 2m)
= 42^4m
Therefore,
7^2m * 6^2m is equivalent to 42^4m
A. 42^6m
Not equivalent
B. 42^m
Not equivalent
C. 42^9m
Not equivalent
Related Questions
b)
Four students represented the same pattern with the following equations:
Simon C = 4n + 1
Shania C = 3n + 4 + n-3
Tate C = (6n + 1) + (-2n)
Navdeep C = 2(2n + 3) -5
Use algebra skills to determine which of these four equations are equivalent. Show your work.
Answers
Simon
C = 4n + 1
Shania
C = 3n + 4 + n -3
C = 4n + 1
Tate
C = (6n + 1) + (-2n)
C = 6n + 1 - 2n
C = 4n + 1
Navdeep
C = 2(2n + 3) -5
C = 4n + 6 - 5
C = 4n + 1
Therefore all of them are equivalent.
Answered by Gauthmath must click thanks and mark brainliest
Find the principle that yields and interest of Rs.2240 at the rate of 10% p.a. in a years 6 months.
Answers
Step-by-step explanation:
I=PRT/100
p=I/RT×100
p=2240/10×2×100
p=11200
Which value is the closet approximation of the square root of 27
A 4.5
B 5
C 5.5
D 5.9
Answers
the actual answer is 5.1 so round it down and it is 5
One model of Earth's population growth is P(t)= 64/(1+11e^0.8t)
where t is
measured in years since 1990, and P is measured in years since 1990, and Pis measured in billions of people. Which of the following statements are true? Check all that apply.
Answers
Answer: C and D
Step-by-step explanation:
Using the logistic equation, it is found that options C and D are correct.
The logistic equation for population growth is given by:
[tex]P(t) = \frac{K}{1 + Ae^{-kt}}[/tex]
[tex]A = \frac{K - P(0)}{P(0)}[/tex]
In which:
K is the carrying capacity. P(0) is the initial value. k is the growth rate, as a decimal. The population grows exponentially for a while, but as it gets closer to the carrying capacity, the growth slows down.For this problem, the equation is:
[tex]P(t) = \frac{64}{1 + 11e^{-0.08t}}[/tex]
Which means that:
The carrying capacity is of 64 billion people, as [tex]K = 64[/tex].The growth rate is of 8% per year, but it is not steady.The initial population, in millions of people, is of [tex]P(0) = \frac{64}{1 + 11} = 5.3[/tex].Hence, options C and D are correct.
To learn more about the logistic equation, you can check https://brainly.com/question/25697660
please help asap, see attached photo. This is due in 1 hour!!! please answer both questions. Both 5 and 6
Answers
Answer:
A and C
Step-by-step explanation:
5) logx+log(x+9)=2
log(x(x+9))=2, log(x^2+9x)=2
6) log(x^2+9x)=2
(x^2+9x)=36 or 6^2
exponential form of (30 + 20) x 50
Answers
Answer:
50^(2)
Step-by-step explanation:
(30+20)*50=50*50=50^(2)
What is the product of the polynomials below?
(3x2 - 2x - 3)(5x2 + 4x + 5)
Answers
Answer
15x^4+2x^3+8x^2-15
Answer:
15^4+2^3−8^2−22−15
Step-by-step explanation:
(3^2−2−3)(5^2+4+5)
Distribute:
3(5^2+4+5) ⋅ ^2−2(5^2+4+5) − 3(5^2+4+5)
15^4+12^3+15^2 − 2(52+4+5) − 3(52+4+5)
15^4+12^3+15^2 − 10^3−8^2−10 − 3(52+4+5)
15^4+12^3+15^2 − 10^3−8^2−10 − 15^2−12−15
Combine like terms:
15^4+12^3−10^3+15^2−8^2−15^2−10−12−15
15^4+2^3+15^2−8^2−15^2−10−12−15
15^4+2^3−8^2−10−12−15
15^4+2^3−8^2−22−15
15^4+2^3−8^2−22−15
hope it helps :)
please mark brainliest!
What is the volume of the rectangular prism?
Answers
Answer:
94.5 yd^3
Step-by-step explanation:
The volume of a rectangular prism is given by the formula:
A = lwh
Where:
l = length
w = width
h = height
Volume is how much space a 3d figure occupies.
USE THE FORMULA WITH THE GIVEN DIMENSIONS:
A = (7)(4.5)(3)
= (31.5)(3)
= 94.5
Volume is measured in cubic yards, in this case.
Therefore your answer is 94.5 yd^3
I hope I helped!
Answer:
Step-by-step explanation:
length = 7 yd
Width = 4.5 yd
height = 3 yd
Volume of rectangular prism = length * width * height
= 7 * 4.5 * 3 = 94.5 yd³
1. You are a contestant on the Wheel of Fun. The spinner contains 4 red panels,
5 yellow panels, a bankrupt panel, 7 blue panels and two free spin panels.
Utilize this given information to calculate the following probabilities:
a. Probability of a spin landing on a red panel.
b. Probability of a spin landing on anything but a blue panel.y that
C. Probability of a spin landing on a yellow or red.
d. Probability of a spin landing on a any non-color panel.
Okay
Answers
Answer:
We have:
4 red panels
5 yellow panels
1 bankrupt panel
7 blue panels
2 free spin panels
for a total of:
4 + 5 +1 + 7 + 2 = 19 panels.
And we can assume that all the panels are equal, so the probability of landing on every single one is the same.
a) Probability of a spin landing on a red panel.
This will be equal to the quotient between the number of red panels (4) and the total number of panels (19)
P = 4/19 = 0.211
b) Probability of a spin landing on anything but a blue panel
There are 7 blue panels and a total of 19 panels.
then 19 - 7 = 12 panels are not blue.
The probability of not landing on a blue panel will be equal to the quotient between the number of panels that are not blue (12) and the total number of panels (19)
P = 12/19 = 0.632
c) Probability of a spin landing on a yellow or red.
There are 4 red and 5 yellow ones, so there are 4 + 5 = 9 panels that are either red or yellow.
The probability is computed in the same way as in the above cases, here we have:
P = 9/19 = 0.473
d) Probability of a spin landing on any non-color panel.
The non-color panels are:
1 bankrupt panel and 2 free spin panels, for a total of 3 non-color panels.
The probability is computed in the same way as above, so we get:
P = 3/19 = 0.158
which is the graph of g(x) = sqrt x-16
Answers
Answer:
Step-by-step explanation:
I am not sure if you are asking for the graph of
√(x-16) that has a x intercept at (16,0)
or
√ x -16 that has a y intercept at (0, -16)
solve
f(x)=4x5−8x4+8x2−4x
Answers
Given:
The function is:
[tex]f(x)=4x^5-8x^4+8x^2-4x[/tex]
To find:
The roots of the given equation.
Solution:
We have,
[tex]f(x)=4x^5-8x^4+8x^2-4x[/tex]
For roots, [tex]f(x)=0[/tex].
[tex]4x^5-8x^4+8x^2-4x=0[/tex]
[tex]4x(x^4-2x^3+2x-1)=0[/tex]
[tex]4x((x^4-1)+(-2x^3+2x))=0[/tex]
[tex]4x((x^2+1)(x^2-1)-2x(x^2-1))=0[/tex]
On further simplification, we get
[tex]4x(x^2+1-2x)(x^2-1)=0[/tex]
[tex]4x(x-1)^2(x+1)(x-1)=0[/tex]
[tex]4x(x+1)(x-1)^3=0[/tex]
Using zero product property, we get
[tex]4x=0[/tex]
[tex]x=0[/tex]
Similarly,
[tex]x+1=0[/tex]
[tex]x=-1[/tex]
And,
[tex](x-1)^3=0[/tex]
[tex]x=1[/tex]
Therefore, the zeroes of the given function are [tex]-1,0,1[/tex] and the factor form of the given function is [tex]f(x)=4x(x+1)(x-1)^3[/tex].
Given the mean of a random variable, X, is 10 and P(X < 11) = 0.67. Find the standard deviation.
Answers
Answer:
Step-by-step explanation:
This is the problem we need to solve:
[tex]z=\frac{x_i-\bar{x}}{\sigma}[/tex] and we have everything but the z-score (which we find from a table) with our main unknown being the standard deviation.
If the probability that a random variable that is less than 11 is .67, we first have to find the z-score from the table that is closest to .67, and there are 2:
P(z < .43) = .66640 and P(z < .44) = .67003
We'll use z = .44
[tex].44=\frac{11-10}{\sigma}[/tex] and
[tex].44=\frac{1}{\sigma}[/tex] and
[tex]\sigma=\frac{1}{.44}[/tex] so
σ = 2.27 (check it; it works!)
Can someone help please
Answers
Answer:
[tex]10^{-3}[/tex]
Step-by-step explanation:
Answer:
https://tex.z-dn.net/?f=10%5E%7B-3%7D
Step-by-step explanation:
Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form
(2 • 6) 3/2
Answers
Answer:
24√3
Step-by-step explanation:
(2 • 6)^(3/2) =
= 12^(3/2)
= √(12³)
= √1728
= √(2^6 • 3² • 3)
= 2³ • 3 • √3
= 24√3
10700 by 100 + 5192by 1000 - 412
Answers
Answer:
the answer is -299.808 well that's what I think it's
Answer:
-299.808
Step-by-step explanation:
= 10700/100 + 5192/100 - 412
= 107 + 5.192 - 412
= -299.808
What is the quotient? t +3 t +4 f+7t+12) 0 (t + 3)2 (t+4)2 1 (t-4) 1 (t + 3)?
Answers
Answer:
1
-----
(t+4)^2
Step-by-step explanation:
(t+3)
------- ÷ (t^2+7t+12)
(t+4)
Copy dot flip
(t+3) 1
------- * --------------------
(t+4) (t^2+7t+12)
Factor
(t+3) 1
------- * --------------------
(t+4) (t+4)(t+3)
Cancel
1 1
------- * --------------------
(t+4) (t+4)
1
-----
(t+4)^2
Answer:
answer is b
Step-by-step explanation:
find the measure of the indicated angle to the nearest degree
Answers
[tex]\boxed{\sf sin\Theta=\dfrac{P}{H}}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=\dfrac{16}{26}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=\dfrac{8}{13}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=0.5[/tex]
Convert to p/q form[tex]\\ \sf\longmapsto sin\Theta=\dfrac{5}{10}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=\dfrac{1}{2}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=sin30[/tex]
[tex]\\ \sf\longmapsto \Theta\approx30°[/tex]
A group of three undergraduate and five graduate students are available to fill certain student government posts. If four students are to be randomly selected from this group, find the probability that exactly two undergraduates will be among the four chosen.
Answers
Answer:
[tex]Pr = 0.4286[/tex]
Step-by-step explanation:
Given
Let
[tex]U \to\\[/tex] Undergraduates
[tex]G \to[/tex] Graduates
So, we have:
[tex]U = 3; G =5[/tex] -- Total students
[tex]r = 4[/tex] --- students to select
Required
[tex]P(U =2)[/tex]
From the question, we understand that 2 undergraduates are to be selected; This means that 2 graduates are to be selected.
First, we calculate the total possible selection (using combination)
[tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex]
So, we have:
[tex]Total = ^{U + G}C_r[/tex]
[tex]Total = ^{3 + 5}C_4[/tex]
[tex]Total = ^8C_4[/tex]
[tex]Total = \frac{8!}{(8-4)!4!}[/tex]
[tex]Total = \frac{8!}{4!4!}[/tex]
Using a calculator, we have:
[tex]Total = 70[/tex]
The number of ways of selecting 2 from 3 undergraduates is:
[tex]U = ^3C_2[/tex]
[tex]U = \frac{3!}{(3-2)!2!}[/tex]
[tex]U = \frac{3!}{1!2!}[/tex]
[tex]U = 3[/tex]
The number of ways of selecting 2 from 5 graduates is:
[tex]G = ^5C_2[/tex]
[tex]G = \frac{5!}{(5-2)!2!}[/tex]
[tex]G = \frac{5!}{3!2!}[/tex]
[tex]G =10[/tex]
So, the probability is:
[tex]Pr = \frac{G * U}{Total}[/tex]
[tex]Pr = \frac{10*3}{70}[/tex]
[tex]Pr = \frac{30}{70}[/tex]
[tex]Pr = 0.4286[/tex]
The quotient of five less than a number and six, is -4
Answers
Answer:
(a-5) / 6 = -4
or
-19
Step-by-step explanation:
(a-5) / 6 = -4
multiply by 6
a - 5 = -24
+5 +5
a = -19
Please help
Solve for x
Answers
Answer:
X=15 since it the same
Step-by-step explanation:
X is simply equal to 15 because it an equilateral triangle
Select all the expressions that represent the difference of the length to width ratios for rectangle A and rectangle B, where W is the width of rectangle A.
Answers
Answer:
w+5/w - w+1/2w
w+9/2w
Step-by-step explanation:
Answer:
A&D are corect
Step-by-step explanation:
combine like terms
HELPPPPPPPPPPPPPPPPP PLZ
Answers
Answer:
GH = 8.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan J = opp side / adj side
tan J = HG / HJ
tan 40 = GH / 10
10 tan 40 = GH
8.39099=GH
Rounding to the nearest tenth
GH = 8.4
Andrea paid $9.99 to join an online music service. She purchases 12 songs each month at a cost of $0.79 per song Andrea thinks after six months she will have spent around $40 total is Andrea‘s estimate reasonable?
Answers
Answer:
không
Step-by-step explanation:
Answer:
I have no idea you can use the app paper.
Step-by-step explanation:
Hope it helps.
Double Tower of Hanoi: In this variation of the Tower of Hanoi there are three poles in a row and 2n disks, two of each of n different sizes, where n is any positive integer. Initially one of the poles contains all the disks placed on top of each other in pairs of decreasing size. Disks are transferred one by one from one pole to another, but at no time may a larger disk be placed on top of a smaller disk. However, a disk may be placed on top of one of the same size. Let tn be the minimum number of moves needed to transfer a tower of 2n disks from one pole to another.
a. Find q and t2.
b. Find t3.
c. Find a recurrence relation for t1, t2, t3, ....
Answers
Answer:
a) t1 = 2 , t2 = 6
b) t3 = 14
c) recurrence relation ( Tn ) = 2Tn-1 + 2
Step-by-step explanation:
Tn = minimum number of moves needed
2n disks is moved from one pole to another
a) determine the value of t1 and t2
let n = 1
2n moves = 2 * 1 = 2
∴ t1 = 2
let n = 2
2n moves = 2*2 = 4
∴ t2 = 4 + t1 = 4 + 2 = 6
b) determine value of t3
let n = 3
2n moves = 2 * 3 = 6
∴ t3 = t1 + t2 + 6
= 2 + 6 + 6 = 14
c) Determine th recurrence relation
let n ≥ 2 i.e. n - 1 ≥ 1
number of disk required to be moved = 2n
number disks as follows : 1 to 2n
the recurrence relation = sum of number of moves in each step
Tn = Tn-1 + 2 + Tn -1
hence recurrence relation ( Tn ) = 2Tn-1 + 2 when all integers n ≥ 2
Find the measure of the indicated angle to the nearest degree
Answers
Answer:
19 degrees
Explanation:
The tangent ratio is opposite/adjacent. To find the angle however you need to take the inverse so the answer will be tan^-1(17/50).
y = –2x2 - 4x – 6 has how many real roots?
Answers
Answer:
Step-by-step explanation:
None
They are both imaginary or complex. You can check that out by calculating the discriminate. If you get a minus answer, then there are no real roots. Let's try it.
a = - 2
b = - 4
c = - 6
D = sqrt(b^2 - 4*a * c)
D = sqrt( (-4)^2 - 4*(-2)(-6) )
D = sqrt( 16 - 48)
D = sqrt(-32) which is negative and there are no real roots.
Travel Agency offers vacation packages. Each vacation package includes a city, a month, and an airline. The agency has 3 cities, 3 months, and 1 airline to choose from. How many different vacation packages do they offer?
=___
Answers
ASAP!! I'll mark you as BRAINLIEST Please help me out here I would really appreciate <3
Answers
Answer:
d) 16, 19, 14 + x
e) x + 20, 30, 33, 15, y - 20, x+x+20=60 and James would be 20.
f) 13
g) 120
Step-by-step explanation:
D.
(1) 14 + 2 = 16
(2) 14 + 5 = 19
(3) 14 + x
E.
(1) x + 20
(2) 10 + 20 = 30
(3) 13 + 20 = 33
(4) 35 - 20 = 15
(5) y - 20
(6) x + (x + 20) = 60 | 2x + 20 = 60 | 2x = 40 | x = 20
F.
200 - 148 = 52
52 / 4 = 13 each
G.
500 + 100 = 600
600 / 5 = 120 without the discount
Hope this helps!
please hurry!!
What is the equation, in point-slope form, of the line that
is parallel to the
given line and passes through the point
- 1, - 1)?
Answers
Answer:
y + 1 = 2(x+1)
Step-by-step explanation:
hope this helps
A certain t-shirt costs $10 less than half the cost of a pair of pants. If the t-shirt costs $15, how much is the cost of the pair of pants?
Answers
15 divided by two is 7.5 and ten plus 7.5 is 17.5…. It says less than half the cost so I would round down to get $17 for the pain of pants
The cost of the pair of pants is $17.5 or $17 if the certain t-shirt costs $10 less than half the cost of a pair of pants.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
A certain t-shirt costs $10 less than half the cost of a pair of pants. If the t-shirt costs $15.
Let x be the cost of the pair of pants.
The value of x can be found as follows:
x = 15/2 + 10
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.
x = $17.5
Thus, the cost of the pair of pants is $17.5 or $17 if the certain t-shirt costs $10 less than half the cost of a pair of pants.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
