Answer:E,D,A
Step-by-step explanation:
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
If an object moves in uniform circular motion in a circle of radius R = 2.00 meters, and the object takes 5.00 seconds to complete ten revolutions, calculate the centripetal acceleration. ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements. a= _____ m/s2 39.4 m/s 2 100. m/s 2 158 m/s 2 50.2 m/s 2
2. Write the equation of the circle with a center at
(-2, -8) and a radius of v10.
A. (x + 2)^2 + (y + 8)^2 = 25
B. (x - 2)^2 + (y – 8)^2 = 10
C. (x + 2)^2 + (y + 8)^2 = 10
D. (x + 2)^2 + (y + 8)^2 = 100
E. (x - 2)^2 + (y - 3)^2 = 100
Answer:
C. [tex] (x +2) ^2 +(y+8)^2 =10 [/tex]
Step-by-step explanation:
Center of the circle (h, k) = (-2, - 8)
Radius [tex] r=\sqrt {10}[/tex]
Equation of circle in center radius form is given as:
[tex] (x - h) ^2 +(y-k) ^2 =r^2 [/tex]
Plugging the values of h, k and r in the above equation, we find:
[tex] [x - (- 2)] ^2 +[y-(-8) ]^2 =(\sqrt {10})^2 [/tex]
[tex] (x +2) ^2 +(y+8)^2 =10 [/tex]
Stacy started with $40 In a savings account that earns 5% annually. How much interest will she get in one year?
Answer:
$2
Step-by-step explanation:
She procures 5% of $40 every year. To discover the amount she makes in 1 year, increase 5% and 40,40*5%.Convert 5% to a decimal by isolating by 100.5%/100=0.05 40*0.05=2
please help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: -7
Step-by-step explanation: -7 x -7 equals 49
What is a equivalent expression to 4(x+12)-3y
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
What is the probability of choosing a red card or a face card from a deck of cards? Type your answer as a fraction.
The probability of choosing a red card or a face card from a deck of cards will be 19/26.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
Then the probability of choosing a red card or a face card from a deck of cards will be
We know that there are 52 cards in a deck of cards.
Then the total event will be
Total events = 52
And we know that a face card means a king, queen, or jack.
And the favorable event will be
Favorable event of face card = 12
Favorable event of red card = 26
Then the probability will be
P = 12 / 52 + 26 / 52
P = 3 / 13 + 1 / 2
P = 19 / 26
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ1
Write an equation that you will use to solve for x. Solve for x.
Answer:
Step-by-step explanation:
7x + 5 = 215
give the correct triangle congruence theroen
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
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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A 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.
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:
how many 5/8 pound bags does it take to get 16 pounds of soil?
Answer:
10
Step-by-step explanation:
What is the slope of (2,3) and (5,-3)
Answer:
-2
Explanation:
Slope formula:
y2 - y1 ÷ x2 - x1
-3 - 3 = -6
5 - 2 = 3
-6 ÷ 3 = -2
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
A medical researcher wants to determine whether a drug changes the body's temperature. Seven test subjects are randomly selected, and the body temperature (in degrees Fahrenheit) of each is measured. The subjects are then given the drug and after 20 minutes, the body temperature of each is measured again. The results are listed below. At α=0.05, is there enough evidence to conclude that the drug reduces the body's temperature? Subject 1 2 3 4 5 6 7 Initial Temperature 103.4 102.5 101.1 103.4 102.9 100.2 100.9 Second temperature 99.2 98.4 98.2 99 98.6 99.7 97.8
Answer:
Step-by-step explanation:
help fast please i’m bad with math
Answer:
FALSE, TRUE, FALSE, FALSE
Step-by-step explanation:
pi/2>2 - FALSE
3pi>9 - TRUE
2pi-1<5 - FALSE
pi+8<11 - FALSE
Find the total surface area:
Answer:
612 cm²
Step-by-step explanation:
Total surface area = area of all the nets in that make up the shape
✔️There are 2 equal rectangles of the following dimensions:
L = 10 cm
W = 4 cm
Area = 2(10*4) = 80 cm²
✔️There are 2 equal rectangles of the following dimensions:
L = 10 cm
W = 17 cm
Area = 2(10*17) = 340 cm²
✔️There are 2 equal rectangles of the following dimensions:
L = 4 cm
W = 17 cm
Area = 2(17*4) = 136 cm²
✅Total surface area = 80 + 340 + 136 = 612 cm²
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]
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:
Which of the following is a rational number but is NOT an integer?
F. 8
G. 24
H. 40/4
J. 6.2
Help mehhhh plz ASAP
Answer:75
Step-by-step explanation:2 1/2 is equal to 5 halves. If each half is equal to 15 then all you do is multiply 15 by 5
Plz help me well mark brainliest if correct!
Answer:
its C
Step-by-step explanation:
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
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:
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:
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/2