15. Pat and Camilla are working with expressions with rational exponents. Listed below are what each
believes to be correct. Use the properties of exponents to determine the correct answer. Write
the correct answer in the space provided.
Answers
Answer:
Step-by-step explanation:
Pat believes that [tex]\sqrt{2}+\sqrt{8}=(2)(2)^{\frac{1}{2}}[/tex]
[tex]\sqrt{2}+\sqrt{8}=\sqrt{2}+\sqrt{4\times 2}[/tex]
[tex]=\sqrt{2}+2\sqrt{2}[/tex]
[tex]=3\sqrt{2}[/tex]
[tex]=3(2)^{\frac{1}{2} }[/tex]
But [tex]2(2)^{\frac{1}{2}}\neq 3(2)^{\frac{1}{2}}[/tex]
Therefore, Pat's belief is not correct.
Camilla believes that [tex]\sqrt{2}+\sqrt{8}=3\sqrt{2}[/tex]
Which is correct as we have calculated above.
Therefore, [tex]\sqrt{2}+\sqrt{8}=3\sqrt{2}[/tex] will be the correct answer.
Related Questions
PLZZ HELP Will give brainlist plz help its for my 9 week exam
Which property of addition is demonstrated in Step 1 of the problem solution shown below?
A. Associative Property
B. Commutative Property
C. Distributive Property
D. Identity Property
Answers
Answer:
Its commutative property
Step-by-step explanation:
It means u can move stuff around so ya
which list shows the triangles in order from greatest area to least area
Answers
Answer:
H - Triangle Z, Triangle X, Triangle Y
Step-by-step explanation:
Triangle X area = rad(66.5) cm^3 ≈ 8.155cm^3
Triangle Y area = 8.15cm^3
Triangle Z area = (17.5/2)cm^3 = 8.75cm^3
8.75cm^3 > 8.155cm^3 > 8.15cm^3
Therefore:
Triangle Z area > Triangle X area > Triangle Y area
16. A section of an exam contains four True-False questions. A completed exam paper is selected at random, and the four answers are recorded. a. List all outcomes in the sample space. b. Assuming the outcomes to be equally likely, find the probability that all the answers are the same. c. Assuming the outcomes to be equally likely, find the probability that exactly one of the four answers is "True." d. Assuming the outcomes to be equally likely, find the probability that at most one of the four answers is "True."
Answers
Answer:
a
[ FFFF] , [FFFT] , [FFTF] , [FFTT]
[FTFF] , [FTFT] , [FTTF], [FTTT]
[TFFF] , [TFFT] , [TFTF] , [TFTT]
[TTFF] , [TTFT],[TTTF] , [TTTT]
b
[tex]P(A) = \frac{1}{8}[/tex]
c
[tex]P(B) = \frac{1}{4}[/tex]
d
[tex]P(C) = \frac{5}{16}[/tex]
Step-by-step explanation:
From the question we are told that
The number of True - False question is n = 4
The number of answers recorded are k = 4
Generally the outcomes in the sample space are 16 and they are listed below
[ FFFF] , [FFFT] , [FFTF] , [FFTT]
[FTFF] , [FTFT] , [FTTF], [FTTT]
[TFFF] , [TFFT] , [TFTF] , [TFTT]
[TTFF] , [TTFT],[TTTF] , [TTTT]
Generally from the list of the possible outcome we see that the number of outcome where the answers are the same is 2 i.e [TTTT] and [FFFF]
So the probability that all the answers are the same is mathematically represented as
[tex]P(A) = \frac{2}{16}[/tex]
=> [tex]P(A) = \frac{1}{8}[/tex]
Generally from the list of the possible outcome we see that the number of outcome where exactly one answer is true is 4 i.e [FFTF] , [FFFT],[TFFF] , [FTFF]
So the probability that exactly one of the four answers is "True." is mathematically represented as
[tex]P(B) = \frac{4}{16}[/tex]
=> [tex]P(B) = \frac{1}{4}[/tex]
Generally from the list of the possible outcome we see that the number of outcome where at most one of the four answers is true is 5 i.e [FTFF] , [FFFF] , [FFTF] , [FFFT] ,[TFFF]
So the probability that at most one of the four answers is mathematically represented as
[tex]P(C) = \frac{5}{16}[/tex]
The probabilities of all same, exactly one true, and most one of the four are true is 0.125, 0.25, and 0.3125 respectively.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
A section of an exam contains four True-False questions.
A completed exam paper is selected at random, and the four answers are recorded.
Total event = 16
A. The sample space will be shown in the table below.
[tex]\rm Sample \ space = 16 \ \begin{Bmatrix}FFFF & FFFT & FFTF & FFTT \\FTFF & FTFT & FTTF & FTTT \\TFFF & TFFT & TFTF & TFTT \\TTFF & TTFT & TTTF & TTTT\end{Bmatrix}[/tex]
B. The probability that all the answers are the same will be.
Favorable event = 2 ={(TTTT, FFFF}
Then we have the probability,
[tex]\rm P(B) =\dfrac{2}{16} =\dfrac{1}{8} = 0.125[/tex]
C. The probability that exactly one of the four answers is "True".
Favorable event = 4 {(FFFT, FFTF, FTFF, TFFF}
Then we have the probability,
[tex]\rm P(C) =\dfrac{4}{16} =\dfrac{1}{4} = 0.25[/tex]
D. The probability that at most one of the four answers is "True".
Favorable event = 5 {(FFFF, FFFT, FFTF, FTFF, TFFF}
Then we have the probability,
[tex]\rm P(D) =\dfrac{5}{16} =0.3125[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
y = 3 in two variable
Answers
Step-by-step explanation:
If Y = 3 is treated as an equation in one variable, then it has a unique solution y= 3. So it is a point on the number line. Given equation Y equal to 3 can be written as 0. x + y = 3, which is a linear equation in two variables x and y.
5/9 is rational or irrational
Answers
Plzz do correctly also worth a lot of points
Answers
Answer:
I believe the Answer is B
I'm really sorry if this is wrong.
Step-by-step explanation:
I tried my best :)
Robert I'm $10 which was 4less than twice which Eric earned how much money did Eric earn
Answers
Answer: Eric earned $7
Step-by-step explanation:
Let's define:
R = money that Robert earned.
E = Money that Eric earned.
Now we want to find how much money did Eric earn.
We know that:
R = $10 = 2*E - $4
Whit this equation, we can find the value of E. So we must isolate the variable E in one side of the equation:
2*E = $10 + $4 = $14
E = $14/2 = $7
Eric earned $7
Joe told Mickey he got an hourly raise at work and his new rate will be $10.25 per hour. Mickey wants to know what Joe’s hourly rate was before his raise. If r represents the amount of the raise, which expression represents Joe’s hourly rate before his raise?
r minus 10.25
10.25 minus r
10.25 + r
r + 10.25
Answers
Answer:
10.25 minus r
Step-by-step explanation:
because amount of money minus how much the raise was equals what he had before.
Answer:
✨b✨
Step-by-step explanation:
⅔+(-⅓)=?????????????????????
Answers
Answer:
1/3
Step-by-step explanation:
2/3 - 1/3
Since the denominators are the same, we subtract the numerators
1/3
Answer:
1/3
Step-by-step explanation:
The graph of y=|x−1|+ 7 is reflected across the y-axis and then translated up 1 unit. What is an equation of the transformed graph?
Answers
Answer:
y = |-x-1| + 8.
Step-by-step explanation:
A reflection across the y axis gives the equation y = |-x -1| + 7.
Then a translation up 1 unit gives the equation y = |-x-1| + 8.
A container holds 13 pencils, 5 black pens, and 3 blue pens. What is the ratio, in fraction form, of pens to all writing tools?
Answers
Answer:
8/21
Step-by-step explanation:
Casey has 8 1/2 yards of fabric she uses 2 1/2 yards to make a pillow and 3 yards to make curtains how much fabric is remaining
Answers
Answer:
3 yards
Step-by-step explanation:
8 1/2 - 2 1/2 = 6
6 - 3 = 3
Your answer is 3.
Please mark as brainliest.
Simplifying radicals maze
Answers
Answer:
sihdhdhdjjdjdjdjdjsjjsjejdjje
The solution to the radical expression √36 is 6.
What is a radical expression?A radical expression is a mathematical expression that contains a radical symbol (√), which represents the square root (or nth root) of a number or variable. The radical symbol is typically followed by a number or expression inside a set of parentheses, which indicates what is being rooted.
The square root of 36 is a number that, when multiplied by itself, equals 36. In this case, we know that the number is 6, because 6 x 6 = 36.
The square root of 36 is simply:
√36 = 6
So the solution of the given radical expression √36 is 6.
To know more about radical expression follow
https://brainly.com/question/28476926
#SPJ2
The complete question is given below.
Solve the radical expression: √36.
Which choice is equivalent to the expression below? √-49
btw its 7i
Answers
Answer:
7
Step-by-step explanation:
Helppppppppppp?????!!!!!!
Answers
i’m so happy to help you!
so here’s what we got:
4/5. so we know that 5 is a factor of 100. so when trying to find a decimal, you have to make your fraction a 10 or 100. so in this case, we only have to make the number to 10.
5x2=10, and whatever we do to the top, we mist do to the bottom. (or vice versa) so we now multiply 4x2 to get 8. so your decimal will be 0.8 or 0.80.
have a wonderful day!!
cookiebrookie∞☻
Find j. 6 + 2(3j – 2) = 4(1 + j)
Answers
Answer:
j=1
Step-by-step explanation:
What is .82 written as a percent?
-8.2%
- 82%
-820% ANSWER QUICK PLS
Answers
Answer:
82
Step-by-step explanation:
get rid of dicemal
Answer: 82%
0.82 as a percent can be written as 82%. Just make 0.82 into an 82%.
0.82 as a fraction can be 82/100.
The answer to the question is 82%.
Hope this helps you!
Help please
What is the slope of the line:
3y - 4 = 5 (x + 2)
Answers
Answer:
The answer is m = 5/3
Step-by-step explanation:
Minerva is trying to estimate v 55. She uses this table of values:
Square 7.02 7.12 7.22 7.32 7.42 7.52
Value
49.0 50.4 51.8 53.3 54.8 56.3
Square 7.62 7.72 7.82 7.92 8.02
Value
57.8 59.3 60.8 62.4 64.0
What should she do next to find 55 to the nearest hundredth?
Answers
Answer: B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Test!
complete the division. The quotient is 3x^2+__x+__.
Answers
Answer: 3x^2+ -2x+5. I hope this helped
Step-by-step explanation:
Alta dove 9 meters below the ocean’s surface. She then dove 15 meters deeper. She then rose 19 and one-fourth meters. What was her position in relation to the surface of the water?
Answers
Answer: -4 3/4
Step-by-step explanation:
Above is the answer if you have a drop down menu, because I have a drop down menu.
Answer:
B
Step-by-step explanation:
i got it right
Please hurry it’s urgent Thank you
Answers
Answer:
D
Step-by-step explanation:
the answer is the graph on the bottom right corner, 400 pages on the y axis and 16 days on the x axis. 25 pages a day.
hope this helped!
PLZZZZ ANSWER QUICKKKKKK BY MIDNIGHTTTT
Answers
45/3 = 15
75/5 = 15
120/8 = 15
150/10 = 15
What does
non-proportional and
proportional
Answers
Answer: i don’t understand the question... are you asking what eacg of them mean?
Step-by-step explanation:
Answer:Proportional: ... How to tell the difference: A proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.
Step-by-step explanation:
Which equation has a pair of equivalent ratios?
Answers
Answer:
Option (3)
Step-by-step explanation:
If the two ratios are equivalent then the value of the ratios will be equal.
[tex]\frac{x_1}{y_1}=\frac{x_2}{y_2}[/tex]
Option (1)
[tex]\frac{11}{12}=\frac{44}{46}[/tex]
Simplified form of the fraction [tex]\frac{44}{46}[/tex] is,
[tex]\frac{44}{46}=\frac{22}{23}\times \frac{2}{2}=\frac{22}{23}[/tex]
Therefore, [tex]\frac{11}{12}=\frac{22}{23}[/tex]
Which is not true,
Therefore, option (1) doesn't show the equivalent ratio.
Option (2)
[tex]\frac{36}{40}=\frac{4}{9}[/tex]
Simplified form of [tex]\frac{36}{40}[/tex] is,
[tex]\frac{36}{40}=\frac{9}{10}\times \frac{4}{4}=\frac{9}{10}[/tex]
Therefore, [tex]\frac{4}{9}= \frac{9}{10}[/tex]
Which is not true.
Therefore, option (2) doesn't show the equivalent ratio.
Option (3)
[tex]\frac{1.5}{3}=\frac{12}{24}[/tex]
Since simplified form of [tex]\frac{1.5}{3}[/tex] is,
[tex]\frac{1.5}{3}=0.5[/tex]
And simplified form of [tex]\frac{12}{24}[/tex] is,
[tex]\frac{12}{24}=0.5[/tex]
Therefore, [tex]\frac{1.5}{3}=\frac{12}{24}=0.5[/tex]
Option (3) shows the equivalent ratios.
Option (4)
[tex]\frac{8}{12}=\frac{4}{24}[/tex]
Since, [tex]\frac{8}{12}=\frac{2}{3}\times \frac{4}{4}=\frac{2}{3}[/tex]
And [tex]\frac{4}{24}=\frac{1}{6}\times \frac{4}{4}=\frac{1}{6}[/tex]
But [tex]\frac{2}{3}\neq \frac{1}{6}[/tex]
Therefore, equation in this option doesn't show the equivalent ratios.
In crest view middle school, 12 out.of 16 students are right handed. If there are 400 students in the school, how many are right handed?
Answers
What ratios are equivalent to 27:9
Answers
Answer:
3:1,
Step-by-step explanation:
because if you multiple 3x9=27, and 1x9=9 you get 27:9
4
X,
f(x) = (2x -6,
{
x < 2
x > 2
8. f(-2) =
9. f(3) =
10. f(5) =
Answers
Answer:
Step-by-step explanation:
Hope it helps
Lesson 3 Practice Problems Ratios
Answers
Answer:
1. 6 to 2 and 9 to 3
2. Any ratio that is not equivalent to 3 to 1. For example, 4 to 11.
Step-by-step explanation:
1. Sebastian lived in France and Canada for a total of 21 months in order to learn French. He learned an average of
150 words per month when he lived in France, and an average of 210 words per month when he lived in Canada. In
total he leamed a total of 3,450 new words.
How long did Sebastian live in France? How Long did he Live in Canada?
Answers
Answer:
Step-by-step explanation:
He took 21 months in total.
150 per month in France and 210 per month in Canada
So, He learned in France in 10 months and canada in 11 months