EL QUE ME AYUDE CON ESTO LE DOY CORONA ._.
TEMA : TEORIA DE EXPONENTES
- Al aplicar la ley de exponentes la expresión se reduce a:
Answers
Answer:
S = [tex]\frac{36}{25}[/tex]
Step-by-step explanation:
Given expression is,
S = [tex]\sqrt[3]{[(\frac{3}{2})^{-2}+6^{-3}+(\frac{3}{2})^{-3}-6^{-1}}]^{-2}[/tex]
S = [tex]\sqrt[3]{[(\frac{2}{3})^{2}+(\frac{1}{6})^{3}+(\frac{2}{3})^{3}-(\frac{1}{6})}]^{-2}[/tex]
= [tex]\sqrt[3]{[\frac{4}{9}+\frac{1}{216}+\frac{8}{27}-\frac{1}{6}}]^{-2}[/tex]
= [tex]\sqrt[3]{(\frac{96+1+64-36}{216})^{-2}}[/tex]
= [tex]\sqrt[3]{(\frac{125}{216})^{-2}}[/tex]
= [tex]\sqrt[3]{(\frac{216}{125})^{2}}[/tex]
= [tex]\sqrt[3]{(\frac{216}{125})\times (\frac{216}{125})}[/tex]
= [tex]\sqrt[3]{(\frac{6\times 6\times 6}{5\times 5\times 5})\times (\frac{6\times 6\times 6}{5\times 5\times 5})}[/tex]
= [tex]\sqrt[3]{(\frac{6}{5})^3\times (\frac{6}{5})^3}[/tex]
= [tex]\frac{6}{5}\times \frac{6}{5}[/tex]
= [tex]\frac{36}{25}[/tex]
Related Questions
An experiment examined the impact of THC (the active ingredient in marijuana) on various physiological and psychological variables. The study recruited a sample of 18 young adults who were habitual marijuana smokers. Subjects came to the lab 3 times, each time smoking a different marijuana cigarette: one with 3.9% THC, one with 1.8% THC, and one with no THC (a placebo). The order of the conditions was randomized in a double-blind design. At the start of each session, no subject reported being "high." After smoking the cigarette, participants rated how "high" they felt, using a positive continuous scale (0 representing not at all "high"). For the placebo condition, participants reported a mean "high" feeling of 11.3, with a standard deviation of 15.5. A 95% confidence interval for the population mean feeling of "high" after smoking a placebo marijuana cigarette is
Answers
Answer:
OOO
Step-by-step explanation:
A family goes out to dinner, and their bill before tax costs $68. Tax is 7.5%. They give a tip of 20% of the bill, calculated after adding tax. What was the total cost of their dinner, after-tax, and tip?
Answers
Answer
87.72
Step-by-step explanation:
7.5% of 68 is 5.1 so 68+5.1=73.1
20% of 73.1=14.62 sooooo 14.62+73.1=87.72
3rd Grade Ch 10 Review Homework Name
1. Melissa went to Target at 5:05 P.M. She returned home after 36 minutes. She then
walked her dog Zeke for 10 minutes before going back into her house.
Write the time that Melissa got home and the time she went back into the house.
Explain how you found each time.
Answers
Answer:
5:51 P.M.
Step-by-step explanation:
You first add 36 and 10 which you get 46 then add the 46 to the total so, 46 + 5 is 51 so she will get back at 5:51 P.M
Answer:
u first add 36 to 5:05=5:41 then add 10 more min and that is 51
Please help I’m really need the help (NO LINKS ) (NO LYING ) PART 2 again again again
Answers
Answer:
Step-by-step explanation: i wont tell you the answer but ill thell you how to do it,soo the strat is to count where the line is as a different part then u just add em
example 1:41.6
8-4=4x4=16
8x3.2=25.6
16+25.6=41.6
:)
Answer:
A. 15
B. 25.6
C. 41.6
write 11/12 demoniator 84 to a equivalent fraction
Answers
Answer:
77/84
Step-by-step explanation:
84 ÷ 12 = 7
Multiply the numerator and denominator by 7
[tex]\frac{11}{12}=\frac{11*7}{12*7}=\frac{77}{84}[/tex]
How many triangles can be constructed with angles measuring 110°, 50°, and 20°?
0
1
more than one
Answers
9514 1404 393
Answer:
(c) more than one
Step-by-step explanation:
The shape of the triangle is specified by its angles, but not its size. An infinite number of triangles of various sizes can be constructed with those angles. The appropriate choice is ...
more than one
Triangle LMN, shown below, is a right triangle.
L
13
5
N
M
12
Which of the following is equivalent to sin L?
PLEASE ANSWER I NEED HELP!!
Answers
9514 1404 393
Answer:
D cos(N)
Step-by-step explanation:
In case you haven't remembered the fact that the sine of an angle is equal to the cosine of its complement (the other acute angle in a right triangle), you can always go back to the definitions.
Sin = Opposite/Hypotenuse
sin(L) = NM/NL
and
Cos = Adjacent/Hypotenuse
cos(N) = NM/NL = sin(L)
The equivalent of sin(L) is cos(N).
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answers
Answer:
2nd one is the answer
Step-by-step explanation:
I need help on my trig can someone help me on the question please and thank you
Answers
Answer:
210 degrees
Step-by-step explanation:
Convert the problem from radians to degrees using the ratio 180/ and it will give you 210.
Help me please! Thank you!
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Answer:
the answer is 12
PLEASE HELPPPPPPPPPP ASAPPPPPPPPPPPPP
Answers
Explanation:
DANA : 64% = 0.64
EMILY : 4/7 = 0.571428571428571
LYDIA : 0.615
TAYLOR: 5/8 = 0.625
the rule for being the nth item in a certain sequence is n(n+1)/2. what is the 4th term in this sequence ?
a.) 4
b.)10
c.)16
d.)20
Answers
Answer:
a.) 4
Step-by-step explanation:
a.)4
simplify the following
(4x + 3) (5x + 2)
Answers
Answer:
20x^2+23x+6
Step-by-step explanation:
(4x+3)(5x+2)
(4x)(5x)+2(4x)+(5x)3+3(2)
20x^2+8x+15x+6
20x^2+23x+6
Hope that helps :)
Answer:
20x^2 + 23x + 6
Step-by-step explanation:
4x (5x + 2) + 3(5x + 2)
20x^2 + 8x + 15x + 6
20x^2 + 23x + 6
Select the two figures that are similar to each other.
Answers
The graph of the function g(x) is a transformation of the parent function f(x)=x².
Which equation describes the function g?
a) g(x)=(x+4)²
b) g(x)=x²+4
c) g(x)=x²−4
d) g(x)=(x−4)²
Answers
Answer:
The answer is c)
Step-by-step explanation:
g(x)=x^2-4
Which NCAA college basketball conference has the higher probability of having a team play in a college basketball's national championship game? Over the last 20 years, the Atlantic Coast Conference (ACC) ranks first by having a team in the championship game 10 times. The Southeastern Conference (SEC) ranks second by having a team in the championship game 8 times. However, both conferences have had teams in the championship game only one time, when Arkansas (SEC) beat Duke (ACC) 76–70 in 1994 (NCAA website, April 2009). Use these data to estimate the following probabilities.
a. What is the probability the ACC will have a team in the championship game?
b. What is the probability the SEC will have team in the championship game?
c. What is the probability the ACC and SEC will both have teams in the championship game?
d. What is the probability at least one team from these two conferences will be in the championship game? That is, what is the probability a team from the ACC or SEC will play in the championship game?
e. What is the probability that the championship game will not a have team from one of these two conferences?
Answers
Answer:
A)P(ACC has a team in the championship game) = 0.5
B)P(SEC has a team in the championship game) = 0.4
C)P(both ACC & SEC having teams in the championship games) = 0.05
D)P(ACC or SEC) = 0.85
E)P(not ACC or SEC) = 0.15
Step-by-step explanation:
A) We are told that in the last 20 years, ACC has had a team in the championship game for 10 times.
Thus;
P(ACC has a team in the championship game) = 10/20 = 0.5
B) SEC has a team in the championship game 8 times in the last 20 years;
Thus;
P(SEC has a team in the championship game) = 8/20 = 0.4
C) since both ACC and SEC have had teams in the championship game for the past 20 years, then;
P(both ACC & SEC having teams in the championship games) = 1/20 = 0.05
D) Addition rule of probability is that;
P(A or B) = P(A) + P(B) - P(A & B)
Applying it to this question, we have;
P(ACC or SEC) = P(ACC) + P(SEC) - P(ACC & SEC)
Plugging in the relevant values, we have;
P(ACC or SEC) = 0.5 + 0.4 - 0.05
P(ACC or SEC) = 0.85
E) from complement rule, we can find the probability that the championship game will not a have team from one of these two conferences.
Thus;
P(ACC not SEC) = 1 - P(ACC or SEC)
P(ACC not SEC) = 1 - 0.85
P(ACC not SEC) = 0.15
i am stuck on these two, please help if you can. thank you :)
Answers
Answer:
23) x= [tex]\frac{27}{8}[/tex]
24) x= [tex]8\sqrt{3}[/tex]
Step-by-step explanation:
A lab orders a number of chemicals from the same supplier every 10 days. The lead time is six days. The manager of the lab must determine how much of one of these chemicals to order. Check of stock reviewed that 9 25-milliliter (ml) jars are on hand. Daily usage of the chemical is appropriately normal with a mean of 16 ml per day and a standard deviation of 3.5 ml per day. The desired service level for this chemical is 95%. a) How many jars of the chemical should he ordered
Answers
Answer:
3 jars of the chemical should be ordered
Step-by-step explanation:
Given the data in the question;
Ol = 10 days
d = 16 ml
z = 1.65 at 95% service level
σ = 3.5 ml
Check of stock reviewed that 9 of 25-milliliter (ml) jars are on hand
so inventory in position = 9 × 25 = 225 ml
now,
since this is a fixed-order-internal system;
first we determine our Target inventory
Target inventory = 16 × ( 10 + 6) + 1.65√( 10 + 6 ) × 3.5
Target inventory = 265 + 23.1
Target inventory = 288.1
so
Amount to order = Target inventory - inventory in position
Amount to order = 288.1 - 225 = 63.1 ml
∴ number of jars to order will be;
⇒ 63.1 ml/ 25 ml = 2.5 { approximately 3 jars }
Therefore, 3 jars of the chemical should be ordered
Find the distance between the points (2, 3) and (2.8).
Answers
Answer:
d = 5
Step-by-step explanation:
For:
(X1, Y1) = (2, 3)
(X2, Y2) = (2, 8)
Distance Equation Solution:
d=(2−2)2+(8−3)2−−−−−−−−−−−−−−−√
d=(0)2+(5)2−−−−−−−−−√
d=0+25−−−−−√
d=2–√5
d=5
A cylinder has a base radius of 3m and a height of 20m. What is its volume in cubic m, to the nearest tenths place ?
Answers
Answer:
are we in that same class like...
-jk-
it should be 565.5
Step-by-step explanation:
THe halloween haunt estimated they would make $125,450 this year. They expect to make 23,700 more than last year by the time they close this year. How much money did they make last Year? help due at 11.59
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Answer:
it is at least $300000 good luck
Can anyone help me with my homework
Answers
Answer:
The answers are as follows:
Step-by-step explanation:
A --> (-1,0) , x-axis
B --> (2,-3) , Q IV
C --> (4,2) , Q I
D --> (-1,5) , Q II
E --> (-3,-4) , Q III
Elvin has three sails of different sizes for his model ships. Which of the sails are congruent, and which are similar?
45°
15 in.
3x in.
9 in.
- 10x)
5 in 4593 in.
Fly - 10x)"
EK IF
z in.
255
55°
BK
A 80
R
OR
4 in.
4 in.
Sail 1
Sail 11
Sail III
Answers
Similar means angles are the same
Congruent means angles and sides are the same.
Sail 1 and sail 2 have the same angles but the sides are not the same.
So sail 1 and sail 2 are similar.
Subtract 11x - 4y from the sum of 15x + 15y and - 18x + 15y.
Answers
Answer:
-14x + 34y
Step-by-step explanation:
First, find the sum of the two expressions by adding like terms:
(15x + 15y) + (-18x + 15y)
= -3x + 30y
Now, subtract 11x - 4y, again by combining like terms:
(-3x + 30y) - (11x - 4y)
= -14x + 34y
So, the answer is -14x + 34y
A real estate agent has 1212 properties that she shows. She feels that there is a 50P% chance of selling any one property during a week. The chance of selling any one property is independent of selling another property. Compute the probability of selling no more than 66 properties in one week. Round your answer to four decimal places.
Answers
Answer:
0.6127 = 61.27% probability of selling no more than 6 properties in one week.
Step-by-step explanation:
For each property, there are only two possible outcomes. Either it is sold, or it is not. The probability of a property being sold is independent of any other property. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
12 properties
This means that [tex]n = 12[/tex]
She feels that there is a 50% chance of selling any one property during a week.
This means that [tex]p = 0.5[/tex]
Compute the probability of selling no more than 6 properties in one week.
This is:
[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{12,0}.(0.5)^{0}.(0.5)^{12} = 0.0002[/tex]
[tex]P(X = 1) = C_{12,1}.(0.5)^{1}.(0.5)^{11} = 0.0029[/tex]
[tex]P(X = 2) = C_{12,2}.(0.5)^{2}.(0.5)^{10} = 0.0161[/tex]
[tex]P(X = 3) = C_{12,3}.(0.5)^{3}.(0.5)^{9} = 0.0537[/tex]
[tex]P(X = 4) = C_{12,4}.(0.5)^{4}.(0.5)^{8} = 0.1208[/tex]
[tex]P(X = 5) = C_{12,5}.(0.5)^{5}.(0.5)^{7} = 0.1934[/tex]
[tex]P(X = 6) = C_{12,6}.(0.5)^{6}.(0.5)^{6} = 0.2256[/tex]
[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0002 + 0.0029 + 0.0161 + 0.0537 + 0.1208 + 0.1934 + 0.2256 = 0.6127[/tex]
0.6127 = 61.27% probability of selling no more than 6 properties in one week.
WILL GIVE Brainlst
ANSWER PLSS
Answers
Answer:
1. D
2. D
Step-by-step explanation:
First, find two points on the line that are EXACTLY on the dot. Count how many points the line goes down and to the side. Then put it into a slope which is rise/run or y/x
So since the two points I picked where 2 points down and 3 points to the side. Its 2/3. Also, the line is going down so its negative. Therefore, you make the slope negative. So, -2/3 is the answer.
2. In the equation, she did “1 - 17/ 1 - 20”
This is wrong because while the numerator is right, the original point was (20, 1) for the denominator. Therefore, she used y values where she should of use X-values as the equation should be
1 - 17/ 20 - 1
Simplify
(-8.5) (-5) (-2)
Answers
Answer: -85
Hope this helps!
If there are 2.54 centimeters in one inch, how many square centimeters are in one square inch? Hint: It is not 2.54! How is determining this conversion ratio related to linear and area scale factors for similar shapes?
Answers
Answer: It is related because linear scale factors are also squared for area scale factors.
Step-by-step explanation: Imagine two squares, which are similar (all squares are similar), and one has a side length of two and other has a side length of four. The length ratio is 1:2. But if you calculate the areas the area ratio is 1:4, which is the linear scale factor of two squared to get to 4
Solve the system of equations:
{ x+y=6
y+3x=4
HURRY
Answers
Answer:
(-1,7)
Step-by-step explanation:
Equations:
x + y = 6
y + 3x = 4
Slope-Intercept Form:
y = -x + 6
y = -3x + 4
Graph:
Graph them yourself!
(On the graph they intersect at -1,7)
Another group held a dance to raise money for charity. Pre-Sale tickets were $2.00 Less than tickets purchased at the event. They sold 54 pre-sale tickets and 82 tickets at the event. The group raised $980 from total ticket sales. How much did they charge for tickets at the event ?
Answers
Answer:
for the regular tickets they charged $8 for the pre sale the charged $6