Q2.
a) Is the equality √a^4 = a valid for all values of a? Explain.
Answer:
The equality is only true for [tex]a = 0\ and\ 1[/tex], not for all values
Step-by-step explanation:
Given
[tex](\sqrt a)^4 = a[/tex]
Required
Determine if it is valid
[tex](\sqrt a)^4 = a[/tex]
Evaluate the exponent
[tex](a^\frac{1}{2})^4 = a[/tex]
[tex]a^\frac{1*4}{2} = a[/tex]
[tex]a^2 = a[/tex]
Rewrite as:
[tex]a^2 - a = 0[/tex]
Factorize
[tex]a(a- 1) = 0[/tex]
[tex]a =0\ or\ a - 1 = 0[/tex]
[tex]a =0\ or\ a = 1[/tex]
The equality is only true for [tex]a = 0\ and\ 1[/tex], not for all values
WILL GIVE BRAINLIEST BUT PLEASE ANSWER NOWWWWWWW MUST BE CORRECT
Answer:
1. x = 2, y = -2 prod: -4 / 2 = -2
2. x = 6, y = -6 prod: -36 / 2 = -13
3. x = -1, y = -1 prod: 1 / 2 = 0.5
4. x = -4, y = -1 prod: 4 / 2 = 2
5. x = 10, y = -1 prod: -10 / 2 = -5
Answer:
we need the answer for median
Step-by-step explanation:
Plz help me well mark brainliest if correct!
Answer:
its C
Step-by-step explanation:
What is the domain and the range of: (2,3), (3,5), (2,7), (4,8)
Answer:
Domain: {2, 3, 4 }
Range: {3, 5, 7, 8}
Step-by-step explanation:
hope this helps and is right. p.s. i really need brainliest :)
What is the length of arc LM?
Answer:
C. 9π/2Step-by-step explanation:
Full circle is:
C = 2πr = 2π*6 = 12πArc length of LM is:
12π * (3π/4 ÷ 2π) = 12π*3/8 =9π/2Correct choice is C
Length
rØ3π/4(6)3π/2(3)9π/2A shark was swimming at 300 feet below sea level. He swam 300 feet up toward the surface. How many feet above sea level is the shark now?
Answer: the shark is at sea level
Step-by-step explanation: is you are 300 beneath the sea level that's -300 and if you go up 300 ft that +300. So 300+(-300) gives you 0 making the shark at sea level.
The digit 3 in which number represents a value of 3 tens ?
Answer:
30
Step-by-step explanation:
Answer:
3 times 10 + 5 times 1
Step-by-step explanation:
Evaluate the radical expression. Express your answer as an integer, simplified fraction, or a decimal rounded to two decimal places. If the expression does not represent a real number, indicate not a real number.
Answer:
Hi how are you doing today Jasmine
10 points
Question #5: At Faith's Fabulous Flowers, she uses 3 dozen roses in her
"perfect day" bouquet. If she charges $39.99 for the entire bouquet, what
is the cost per rose?
Your answer
Answer:
i need help on this question
Step-by-step explanation:
pls help me on this !!!
Answer:
9
Step-by-step explanation:
To solve this question you need the formula of hypothenuse theorem, I personally use [tex]a^{2} + b^{2} = c^{2}[/tex].
Since [tex]c^{2}[/tex] is the hypothenuse, and the hypothenuse in this case is 15, the equation will be [tex]12^{2}+ b^{2} = 15^{2}[/tex].
144+[tex]b^{2}[/tex]=225
subtract 144 from both sides
[tex]b^{2}[/tex]= 81
[tex]\sqrt{b^{} } = \sqrt{81}[/tex]
b=9
I NEED HELP ASAP PLEASE HELP
Answer:
a) lilla has 1/5 of the book left to read
b) lilla has 15 pages left to read
Step-by-step explanation:
a) 1/5 + 3/5 = 4/5
b) 75÷ 5= 15
15× 4= 60
75-60= 15
A movie theater charges 7 for an adult ticket and $4 for child ticket. One day the theater 565 tickets for $2920How many child tickets were sold for the movie that day?
Answer:
Adult =$7------x
Child=$4-------y
Total Tickets= 565= $2920
7x+4y = 2920
x+y= 565
x=565-y
7(565-y) + 4y= 2920
3955 - 7y +4y= 2920
-3y=2920-3955
y=1035/3= 345
x= 565-345= 220
child= 345
Which of the following is a rational number but is NOT an integer?
F. 8
G. 24
H. 40/4
J. 6.2
Expert Card has an APR of 16.2% compounded monthly. Passport has a daily periodic interest rate of 0.0398%. Explore has a monthly periodic interest rate of 1.35%. Which card has the higher APR?
Answer:
Explore is Answer
Step-by-step explanation:
A Web music store offers two versions of a popular song. The size of the standard version is 2.5 megabytes (MB). The size of the high-quality version is 4.4 MB. Yesterday, there were 1140 downloads of the song, for a total download size of 4522 MB. How many downloads of the standard version were there?
Answer:
the number of downloads of the standard version is 260
Step-by-step explanation:
Let us assume the downloads of the standard version be x
And, the download of the high-quality version be y
Now as per the question
2.5x + 4.4y = 4522 .........(1)
x + y = 1140
y = 1140 - x .......................(2)
Now put the value of equation 2 in the equation 1
So,
2.5x + 4.4 (1140 - x) = 4522
2.5x + 5016 - 4.4x = 4522
-1.9x = -494
x = 260
Hence, the number of downloads of the standard version is 260
Do the ratios 5/18 and 1/2 form a proportion?
Answer:
No they do not.
5/18 ≠ 1/2
If it did, it would be 9/18
Hope that helps!
Step-by-step explanation:
the kitchen is 20 feet long and 10 feet wine how many square feet of flooring does Bob need to buy
Answer:
200 ft squared of W I N E
Step-by-step explanation:
W I N E
What is 498,235 rounded to the
nearest thousands?
Answer:
498,000
Step-by-step explanation:
give the correct triangle congruence theroen
NEEED HELP ASAP PLEASE
Step-by-step explanation:
[tex]( {m}^{15} )( {m}^{3} ) ^ {- 4} \\ = ( {m}^{15} )( {m}^{3 \times - 4} ) \\ = ( {m}^{15} )( {m}^{ - 12} ) \\ = {m}^{15 + ( - 12)} \\ = {m}^{15 - 12} \\ = {m}^{3} \\ {m}^{x} = {m}^{3} \\ x = 3[/tex]
The area of a rectangle is 1,357 square feet. The length is 59 feet. What is the width?
Answer:
23
Step-by-step explanation:
1357/59
23
1357/59=23
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In 2009 Zambrano's salary was 18,750,000. He pitched in 28 games in 2009. What was his salary per game in 2009? Round to the nearest cent.
Answer:
his salary per game is 669,643
Step-by-step explanation:
The computation of the salary per game in the year 2009 is shown below
Given that
His salary in the year 2009 is 18,750,000
And, he pitched 28 games in the year 2009
Based on the above information
His salary per game is
= 18,750,000 ÷ 28 games
= 669,643
hence, his salary per game is 669,643
The same is relevant
Tom read 20 books, 12 magazines, and 18 newspaper articles last year.
Based on this data, what percentage of the material that Tom read is a magazine?
Answer:
Step-by-step explanation:
20 dude hahah
What is a equivalent expression to 4(x+12)-3y
The coordinate grid shows the plot of four equations.
Which set of equations has (-1, 5) as its solution? (4 points)
1) A and B
2) B an d 3) A and C 4) B and C
Answer:
Your answer would be A and B
Step-by-step explanation:
Simply look for the coordinates on the graph and look for the name of the lines that intersect there.
Simplify 45÷3[90÷45{6+3(19-16)}]
Step-by-step explanation:
45÷3[90÷45{6+3(19-16)}]45÷3[90÷45{6+3(3)}]45÷3[90÷45{6+9}]45÷3[90÷45{15}]45÷3 [90÷675][tex]\frac{\cancel{45}^\ {15}}{\cancel3} * \frac{6}{45}[/tex][tex] \cancel{15} × \frac{6}{\cancel{45}^\ {3}}[/tex]6/32[tex]\\\\\\[/tex]
The equation of [tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right][/tex] is 165.
What is PEMDAS rule?
PEMDAS exists as an acronym for the terms parenthesis, exponents, multiplication, division, addition, and subtraction.
How to simplify the equation of [tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right][/tex]?Given:
[tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right][/tex]
45/3 = 15
Simplifying the given equation, we get
[tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]=15\left[\frac{90}{45}+3(19-16)\right][/tex]
90 / 45 = 2
By simplifying the above equation, then we get
= 15[2 + 3(19 -16)]
By using the PEMDAS rule
15[2 + 3(19 -16)] = 11
[tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]= 15*11[/tex]
= 165
Therefore, the equation of [tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right][/tex] is 165.
To learn more about PEMDAS rule refer to:
https://brainly.com/question/17297306
#SPJ2
Distance between Train 1 and Train 2 = 95 miles.
Average speed of Train 1 = 45 mph.
Average speed of Train 2 = 60 mph.
If both trains leave at the same time and travel toward each other but on parallel tracks, in how much time will their engines be opposite each other? (Hint: When the engines are opposite each other, together the trains will have traveled 95 miles. Their relative speed of travel is the sum of their respective speeds, or 105 mph.)
Travel time = hours.
9514 1404 393
Answer:
19/21 hours, about 54 minutes 17 seconds
Step-by-step explanation:
The time is found from ...
time = distance/speed
time = (95 mi)/(105 mi/h) = 95/105 h = 19/21 h
The trains will meet after 19/21 hours, about 54 minutes, 17 seconds.
Answer:
19
Step-by-step explanation:
WILL GIVE BRAINLIEST IF YOU HELP
There are 12 girls and 13 boys in math class. What percent of the class are girls?
Answer:
Total # of students = 12 + 13 = 25
%-Boys = (12 / 25) x 100% = 48%
Step-by-step explanation:
give me a correct answer, My answer probably wrong.
Hello!
This is a problem about the general solution of a differential equation.
What we can first do here is separate the variables so that we have the same variable for each side (ex. [tex]dy[/tex] with the [tex]y[/tex] term and [tex]dx[/tex] with the [tex]x[/tex] term).
[tex]\frac{dy}{dx}=\frac{x-1}{3y^2}[/tex]
[tex]3y^2dy=x-1dx[/tex]
Then, we can integrate using the power rule to get rid of the differentiating terms, remember to add the constant of integration, C, to at least one side of the resulting equation.
[tex]y^3=\frac{1}{2}x^2-x+C[/tex]
Then here, we just solve for [tex]y[/tex] and we have our general solution.
[tex]y=\sqrt[3]{\frac{1}{2}x^2-x+C}[/tex]
We can see that answer choice D has an equivalent equation, so answer choice D is the correct answer.
Hope this helps!
Ahab counted vehicles in a parking lot. 5 out of 15 were go-carts. If this trend continues and he counts 9 more vehicles, how many of them will be go-carts?