6^-6/6^-5 in the form 6^n
Answers
Answer:
6⁻¹
Step-by-step explanation:
6⁻⁶ = [tex]\frac{1}{6^6}[/tex] and 6⁻⁵ = [tex]\frac{1}{6^5}[/tex]
[tex]\frac{1}{6^6} * \frac{6^5}{1} = \frac{6^5}{6^6} = \frac{6^0}{6^1} = \frac{1}{6}[/tex] ** top & bottom same base 6, subtract exponent
[tex]\frac{1}{6}[/tex] = 6⁻¹
Related Questions
Solve the system of equations algebraically.
5x - 3y = 6
6x - 4y = 2
a. many solutions
C.
no solution
b. (8, 14
d. (9. 13)
Please select the best answer from the choices provided
Ο Α
ОВ
О С
Answers
Answer:
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=9,\:y=13[/tex]
the option 'd' is correct.
Step-by-step explanation:
Given the system of the equations
[tex]\begin{bmatrix}5x-3y=6\\ 6x-4y=2\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}5x-3y=6\mathrm{\:by\:}6\:\mathrm{:}\:\quad \:30x-18y=36[/tex]
[tex]\mathrm{Multiply\:}6x-4y=2\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:30x-20y=10[/tex]
[tex]\begin{bmatrix}30x-18y=36\\ 30x-20y=10\end{bmatrix}[/tex]
[tex]30x-20y=10[/tex]
[tex]-[/tex]
[tex]\underline{30x-18y=36}[/tex]
[tex]-2y=-26[/tex]
[tex]\begin{bmatrix}30x-18y=36\\ -2y=-26\end{bmatrix}[/tex]
solve for y
[tex]-2y=-26[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-2[/tex]
[tex]\frac{-2y}{-2}=\frac{-26}{-2}[/tex]
[tex]y=13[/tex]
[tex]\mathrm{For\:}30x-18y=36\mathrm{\:plug\:in\:}y=13[/tex]
[tex]30x-18\cdot \:13=36[/tex]
[tex]30x-234=36[/tex]
[tex]30x=270[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}30[/tex]
[tex]\frac{30x}{30}=\frac{270}{30}[/tex]
[tex]x=9[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=9,\:y=13[/tex]
Therefore, the option 'd' is correct.
Find the variable :
4t + 5.25 = 35.25
Answers
4t + 5.25 = 35.25
4t = 30
t = 30/4 or 7.5
35.25 - 5.25= 30
30/ 4 = 7.5 or 15/2
What are three expressions that have the sum or difference of 3/4
Answers
Answer:
-11/12 − 1/6
-3/5 + 3/20
-2/3 + 1/12
Step-by-step explanation:
Two cards are drawn in succession from a standard 52-card deck.1. What is the probability that the first card is red and the second card is black(A) If the cards are drawn without replacement?(B) If the cards are drawn with replacement?2. Two balls are drawn in succession out of a box containing 3 red and 5 white balls. Find the probability that at least 1 ball was red, given that the first ball was(A) Replaced before the second draw(B) Not replaced before the second drawContext Header: Conditional ProbabilityContext Section:Conditional Probability is a calculation of the likelihood of an occurrence provided that another event has already occurred. Conditional probability A provided B is generally written as:P(A/B)=P(A∩B)P(B)
Answers
Answer:
52 cards:
26 red and 26 black
P(R) = probability of picking a red card
P(B) = probability of picking a black card
P(R) = P(B) = ¹/₂
If with replacement:
P(R∩B) = (¹/₂)(¹/₂) = ¹/₄
If without replacement:
P(R∩B) = (¹/₂)(²⁶/₅₁) = ¹³/₅₁
8 Balls:
3 red and 5 white
P(R) = probability of picking a red ball
P(W) = probability of picking a white ball
P(R) = ³/₈
P(W) = ⁵/₈
If with replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₈) + (⁵/₈)(³/₈)
= ¹⁵/₆₄ + ¹⁵/₆₄
= ³⁰/₆₄
= ¹⁵/₃₂
If without replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₇) + (⁵/₈)(³/₇)
= ¹⁵/₄₂ + ¹⁵/₄₂
= ³⁰/₄₂
= ⁵/₇
PLZ Help Urgent. 15 POINTS, BRAINLY Guaranteed.
Plz Answer honestly or you will be reported.
Multiply.
15 ⋅ 1/3
1/45
1/5
5
45
Answers
Answer:
5
Step-by-step explanation:
[tex]\frac{15}{1}[/tex] multiplied by [tex]\frac{1}{3}[/tex]
which makes: [tex]\frac{15}{3}[/tex]
simplify: 5
6 cm
8 cm
8 cm
12 cm
The perimeter of the polygon above is
Answers
Answer:
12 cm !!!
hope you mark me bainliest or your friend
What is the slope of the line that contains these points?
Answers
Answer:
-5/4
Step-by-step explanation:
Slope = (y2-y1)/(x2-x1)
Slope = (5-10)/(49-45)
1. Adjacent angles are two angles in the same plane with a common
and a common
but no common interior points.
Answers
Answer:
Adjacent angles are two angles in the same plane with a common VERTEX and a common SIDE but no common interior points.
Step-by-step explanation:
Adjacent angles share a common side on the same vertes, but they do not overlap each other.
In the attached image, ∠ABD is adjacent to ∠DBC, but ∠ABC is not adjacent to any of them.
3x+4y=2, find 27x•81v
Answers
simplify ...........x^4/3+1=3
Answers
Answer:
2 3/4 or 2.75
Step-by-step explanation:
giving brainliest !!!!
Answers
Answer:
please mark me as brainlist
help brainliest will be given 8 only
Answers
b. 26 vehicles
c. 10 vehicles
d. About 27%
Answer:
a)37
b)10
c)0 beacuse if there 11 then they would be speeding and also if it wrond try 10
d)28.571428571429%Step-by-step explanation:
What number can be replaced with K to make
this a function?
(-5,8) (4,9) (K, 9) (9,9)
A)-5
B)4
C)-9
D)9
Answers
-9 because a function is when an input has only one output
you don’t want to repeat the first numbers in the bracket
and there’s -5, 4 and 9 already so its -9
it takes two pizzas to feed five people how much pizza does it take to feed 45 people
Answers
Answer:
18 pizzas
Step-by-step explanation:
5x9=45
2x9=18
Welcome to Brainly :)
Answer:
18
Step-by-step explanation:
if it takes 2 pizzas to feed 5 people you 5 by 9 to get 45. You do the same with the 2 and 2 * 9 = 18
66,722 Cincinnati residents over the age of 25 have a bachelor's degree or higher. What percentage of Cincinnati residents who are over the age of 25 have a bachelor's degree or higher
Answers
Answer:
we are missing some information, so I looked for a similar question and found the attached image:
Cincinnati's total population = 298,957 people
Cincinnati's population over age 25 = 193,638
I added all the people that were up to 24 years old and then subtract that number from 298,957 - 105,319 = 193,638
Percentage of Cincinnati residents over age 25 that have a bachelor's degree or higher = 66,722 / 193,638 = 0.3446 = 34.46%
Element X decays radioactively with a half life of 9 minutes. If there are 610grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 124 grams?
y = a(.5) t/h
Answers
A half-life of 9 minutes corresponds to a decay factor k such that
[tex]\dfrac12=e^{9k}\implies k=-\dfrac19\ln\left(\dfrac12\right)[/tex]
Then the time it takes for the substance to decay from 610 g to 124 g is time t such that
[tex]124\,\mathrm g=(610\,\mathrm g)e^{kt}[/tex]
Solve for t :
[tex]\dfrac{62}{305}=e^{kt}[/tex]
[tex]\ln\left(\dfrac{62}{305}\right)=kt[/tex]
[tex]t=\dfrac1k\ln\left(\dfrac{62}{305}\right)\approx20.686[/tex]
so it takes about 20.7 min for the 610 g sample to decay down to 124 g.
Hamburger meat sells for $6 for every 3 pounds. If Alicia buys 10 pounds of hamburger meat, how much will she pay?
Answers
Every pound is $2
6*3+2
Answer:
20
Step-by-step explanation:
A bag contains two coins, one for which the probability of heads is equal to 1 and one for which the probability of heads is equal to p. A coin is selected at random, and three independent tosses of this coin result in three heads. What is the probability that a further independent toss of this coin will produce a head?a. p4/1 + p3.b. p3 - p2/1 + p3.c. p3/1 - p.d. 1/1 + p3.e. 1 + p4/1 + p3.
Answers
Answer: Option E is the correct answer; (1 + p⁴) / (1 + p³)
Step-by-step explanation:
P (3 head) = P(first and 3 heads) + P(second coin and 3 heads)
= (1/2)×1³ + (1/2)× p³ = (1/2) × (1 + p³)
therefore P(first coin given 3 heads) = (1/2)×1³/ ((1/2)×(1 + p³))
= 1 / (1 + p³)
Also P( second coin given 3 heads) = p³ /(1 + p³)
therefore P(4th toss in heads given first 3 are heads) will be;
= P(first and 4th toss heads) + P(second and 4th toss heads)
=(1/( 1 + p³ )) × 1 + p³ / (1+p³) × p
= (1 + p⁴) / (1 + p³)
Therefore Option E is the correct answer
Cole's soup recipe is shown in the table above. What is the ratio of water to chicken stock? Express the ratio as a fraction in simplest form.
Answers
Answer:
2:3
Step-by-step explanation:
4:6, you would have to divide both sides by 2 to get the simplest answer which is 2:3, hope this helps
Alright Soldier I need help, Solve for Percent Error, Calculate the percent error if the experimental value of the density of gold is 18.7 g/cm^3 and the accepted value is 19.3 g/cm^3
Answers
Answer:
Step-by-step explanation:
so the steps to doing this are as follows :
Subtract the accepted value from the experimental value.
Take the absolute value of step 1.
Divide that answer by the accepted value.
Multiply that answer by 100 and add the % symbol to express the answer as a percentage.
|18.7-19.3|/19.3 = 0.031088 * 100% = 3.1%
In a five-card poker hand, what is the probability of being dealt exactly one nine and no picture cards?
Answers
Answer:
0.0907
Step-by-step explanation:
There are 12 picture cards
There are 4 9's
There are 52-12-4 = 36 cards that are not 9's and not picture cards
(5*58905)/(52C5)
Ebony's bank balance first reached $400 on Day 4. The last day her balance was $400 was Day 8. Look at the picture. Brainliest Answer. Only answer if your 100% sure .
Answers
Answer:
It stays true because it stays the same amount so B would be the correct answer.
Step-by-step explanation:
Which inequality has the graph shown below?
Oy > 2x – 3
O y < 2x - 3
oy > 2x - 3
O y < 3x + 1
Answers
Answer:
The answer is y < 2x -3
Step-by-step explanation:
You can read this as all values on the graph will be the value of x times 2 minus 3..
For example, if we wanted to know what the value of y would be if x =2, we would plug in 2 and get 2(2) - 3 or just 1. We can see at the graph that when x = 2 y does equal 1. **In this situation we are pretending that the < symbol is the equal symbol..
To actually find the answer you can graph each equation until you find it or do it this way:
1) Find the slope and determine if it it works for the given graph.
We can see that the slope of the given graph is positive and if we look closer we can see that the slope is 2 over and that we have a y-intercept of (0,-3).
2) We know that it is Option 2 instead of the first option because o the < sign. If it was option 1, then the shaded part of the graph would be on the other side of the line.
The inequality has the graph shown in the question. is to be considered as the y < 2x -3.
Calculation of an inequality function:Since
First determine the slope
So we can see that the slope of the given graph should be positive and then the slope should be 2 over and there is y-intercept of (0,-3).
So based on this, we can say that The inequality has the graph shown in the question. is to be considered as the y < 2x -3.
Learn more about y-intercept here: https://brainly.com/question/15587122
Solve Algebraically 2^3-x=565
Answers
x = 3 − log 565/ log 2 = − 6.142107057
Step-by-step explanation:
2^3-x =565
Log 2^3-x = log 565
(3-x) times log 2 = log 565
3 − x = log 565 / log 2
3 − log 565 / log 2 = x
x = 3 − log 565/ log 2 = − 6.142107057
Answer:
x = -557
Step-by-step explanation:
2^3 is 2x2x2 which equals 8. 8 - x = 565. Move the constant to the right-hand side and change its sign. -x = 565 - 8. This is 557. Now change the negative sign on the x to a positive and the positive sign on the 557 to a negative. x= -557.
Is m || n? Which theorem (which tool) did you use to decide?
Answers
Answer:
Yes. m is parallel to n. Since the 2 angles labelled are equal, by alternate angles rule, m is parallel to n.
Step-by-step explanation:
This is a question on angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Answer:
yes
Step-by-step explanation:
Yes m is parallel to n because the alternate interior angles are equal .
Isabel company offers other programs and incentives to help employees with their savings and expenses.
Answers
Answer:
dependent care FSA
Health FSA
IRA
Step-by-step explanation:
Order the following integers from least to greatest -25,-41,36,28,and16
Answers
find the rate of change (2,15.50) (4,31.00)
Answers
Answer:
The answer is 7.25
Step-by-step explanation:
I suggest you search for, "khan academy slope."
Hope this helps :)
Which steps can be used to solve StartFraction 6 Over 7 EndFraction x + one-half = StartFraction 7 Over 8 EndFraction for x? Check all that apply.
Divide both sides of the equation by StartFraction 7 Over 8 EndFraction.
Subtract One-half from both sides of the equation.
Use the LCD of 2 to combine like terms.
Divide both sides by StartFraction 6 Over 7 EndFraction.
Multiply both sides by StartFraction 7 Over 8 EndFraction.
Answers
Answer: the answer is 2,4,5
Step-by-step explanation:
Answer:
B, D, E
Step-by-step explanation:
Took the test
can somone help me please
Answers
Answer:
The slides is 36 and the angle is 180.
Step-by-step explanation:
14.4m+15.6m+6m=36
90+30+50=180
If they ask why it is 180 because when adding all the angles it has to give you a total of 180.