If z>0, what is the quotient of 20√z6 ÷ √16z7 in simplest radical form
Answer:
5√z/z
Step-by-step explanation:
i took the test(:
The quotient of [tex]20\sqrt{z^{6} }[/tex] ÷ [tex]\sqrt{16z^{7} }[/tex] in simplest radical form is [tex]\frac{5\sqrt{z} }{z}[/tex].
How to express a simplest radical form?Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.
Given
[tex]20\sqrt{z^{6} }[/tex] ÷ [tex]\sqrt{16z^{7} }[/tex]
Rewrite as fraction: [tex]\frac{20\sqrt{z^{6} } }{\sqrt{16z^{7} } }[/tex]
Factor and rewrite the radicand in exponential form: [tex]\frac{20\sqrt{z^{6} } }{\sqrt{4^{2}. z^{6} .z} }[/tex]
Rewrite the expression using [tex]\sqrt[n]{ab} =\sqrt[n]{a} \sqrt[n]{b}[/tex] :
= [tex]\frac{20\sqrt{z^{6} } }{\sqrt{4^{2} .\sqrt{z^{6}.\sqrt{z} } } }[/tex]
Simply the radical expression, we get:
= [tex]\frac{20z^{3} }{4z^{3}\sqrt{z} }[/tex]
Reduce fraction to the lowest term by canceling the greater common factor, we get
= [tex]\frac{5}{\sqrt{z} }[/tex]
Rationalize the denominator
= [tex]\frac{5\sqrt{z} }{\sqrt{z} .\sqrt{z} }[/tex]
= [tex]\frac{5\sqrt{z} }{z}[/tex]
Hence, the quotient of [tex]20\sqrt{z^{6} }[/tex] ÷ [tex]\sqrt{16z^{7} }[/tex] in simplest radical form is [tex]\frac{5\sqrt{z} }{z}[/tex].
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5,1,0,4,0 what is the range?
Answer:
range: 4
Step-by-Step Explanation:
A chemist has a solution of 65% pure acid and another solution of 30% pure acid. How many gallons of each will make 350 gallons of 55% pure acid solution?
Answer:
250 of 65% acid
100 gallons of 30% acid
Really sorry if this is incorrect, I had this question on my Lesson 16 test, and I don't know if it's correct or not...
Answer:
250 of 65% acid
100 g of 30% acid
Step-by-step explanation:
Р
D
Which of the statements describe the transformation on
the left? Check all that apply.
NOPQR-N'O'P'Q'R'
ONOPQR-→ NOPQR
O QRNOP → R'N'O'P'Q'
NOPQR maps to N'O'P'Q'R'
O QPONR maps to Q'P'O'N'R'
N
R
N
R
The statements which describe the transformation on the left are:
NOPQR → N'O'P'Q'RNOPQR maps to N'O'P'Q'R'QPONR maps to Q'P'O'N'R'What is a transformation?A transformation refers to the movement of a point from its original position to a new location. Hence, when an object is transformed, all of its points would also be transformed.
Based on the image of these geometric figures (see attachment), we can infer and logically deduce that the following statements describe the transformation on the left:
NOPQR → N'O'P'Q'RNOPQR maps to N'O'P'Q'R'QPONR maps to Q'P'O'N'R'Read more on transformation here: https://brainly.com/question/12040896
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Answer: a,b,d that´s the answer
Step-by-step explanation
Write the relation as a set of ordered pairs.
A relation. An arrow goes from negative 2 to 4, 0 to 0, 2 to 4.
a.
ordered pairs: {(4, –2), (0, 0), (2, 4)}
b.
ordered pairs: {(–2, 4), (0, 0), (4, 2)}
c.
ordered pairs: {(–2, 4), (0, 0), (2, 4)}
d.
ordered pairs: {(4, –2), (0, 0), (4, 2)}
Answer:
Write the relation as a set of ordered pairs.
Step-by-step explanation:
A relation. An arrow goes from negative 2 to 4, 0 to 6, 2 to 8.
a.
ordered pairs: {(4, –2), (0, 6), (2, 8)}
b.
ordered pairs: {(–2, 4), (0, 6), (2, 8)}
c.
ordered pairs: {(4, –2), (0, 6), (8, 2)}
d.
ordered pairs: {(–2, 4), (6, 0), (8, 2)}
Fiona, Peter and Angad share some sweets in the ratio 5:1:2. Fiona gets 33 more sweets than Angad. How many sweets are there altogether?
Eugene sold half of his comic books and then bought eight more. He now has 32. With how many did he begin?
Answer:
48 books
Step-by-step explanation:
32-8 = 24
24= 1/2 of total
24x2=48
Answer=48 books
Check:
48/2=24
24+8=32
YAY!!
Answer:
48 comic books
Step-by-step explanation:
Let's use x as the amount that he originally had.
If he sold half of them, that would be:
(1/2)x
Then he bought 8 more, so you would add 8 to that total.
(1/2)x + 8
If he now has 32 then we need to set that equation to equal 32.
(1/2)x + 8 = 32
Subtract 8 from each side.
(1/2)x = 24
Then you will divide 24 by 1/2. That is the same thing as multiplying by 2.
So,
x = 48
Check work
(1/2)x + 8 = 32
(1/2)(48) + 8 = 32
Half of 48 is 24.
24 + 8 = 32.
32 = 32.
Onii-Chan help me whit 5-8
HURRY FAST PLEASEEE..........On a coordinate plane, point Q is 0.5 units to the left and 1.25 units up. Point R is 1.25 units to the right and 0.5 units up. Point S is 0.25 units to the right and 0.25 units up. Point U is 0.25 units to the left and 0.25 units down. Point W is 0.5 units to the left and 1.25 units down. Point V is 0.5 units to the right and 1.25 units down. Which point is located at (–0.50, –1.25)? Point
Answer:
Point W, it is going left 0.5 units which is -0.5 and then he is going down 1.25 units which is -1.25 UNits. So your answer is Point W, I hope that this helped you!
Step-by-step explanation:
Answer:
Point W
Step-by-step explanation:
For the given fact below, which subsequent true/false statement is true?
Answer:
Step-by-step explanation:
Mel passed the math class.
Mel failed the math class.
Mel likes math.
Mel took math this semester.
Question 15
10 Points
Indicate the most appropriate if-then statement that the English sentence represents:
People 25 years or older do not pay an additional car rental fee.
If a person is 25 years old or older, then the person does not pay an additional car rental fee.
If a person is 25 years old or younger, then the person does not pay an additional car rental fee.
If a person does not need to pay an additional car rental fee, then the person is 25 years old or older.
Unknown
Question 16
10 Points
Given: If X, then Y. If Y, then Z.
Y is true. So:
X is unknown, Z is unknown
X is unknown, Z is true
X is false, Z is true
X is true, Z is true
Question 17
10 Points
Using everyday knowledge, which of the following statements is an if-then statement whose reverse is also correct?
If the TV is unplugged, then the TV will not turn on.
If the light bulb was recently on, then the light bulb is hot.
If an ambulance has emergency lights on, then cars on the road pull over.
If the wind is blowing, then the weather is chilly.
Question 18
10 Points
Using everyday knowledge, indicate whether the if-then statements are correct forward-only or both forward and reverse.
Statement 1: If Bo is Mel’s sibling, then Mel is Bo’s sibling.
/ Statement 2: If the sprinklers are on, then the grass is wet.
Forward-only / Forward-only
Forward-only / Forward and reverse
Forward and reverse / Forward-only
Forward and reverse / Forward and reverse
Question 19
10 Points
Given: If A AND B, then C. Given: The if-then statement's reverse is also correct. Given A is false, B is false. What is C?
True
False
Both true and false
Unknown
Question 20
10 Points
What pages will be favored for the given search? Search terms: Michael OR Jordan
Pages about Michael Jordan
Pages about Michael, plus pages about OR, plus pages about Jordan
Pages about Michael, plus pages about Jordan
Pages about Michael, plus pages about Jordan, plus pages about both
Question 21
10 Points
The rules for a soccer player receiving a yellow card are as follows:
IF a player
delays-restart
OR (dissents-by-word OR dissents-by-action)
OR ((enters OR re-enters OR leaves) AND NOT (had-permission))
OR ((corner-kick OR free-kick OR throw-in) AND fails-respect-distance)
OR commits-persistence-offences
THEN the player should receive a yellow card
A player leaves the field with permission. Later, the player re-enters the field without permission. The player:
Should receive a yellow card
Should not receive a yellow card
Should receive a yellow card only if the player also delays the restart
Should receive a yellow card only if committing all the other 4 offenses too
Question 22
10 Points
What percentage of people partake in physical activity and abstain from smoking, but do not eat fruit and vegetables?
1%
5%
10%
14%
Question 23
10 Points
Given the true/false statements are true (facts), select the best logical induction made from those statements:
Mo likes oranges. Jai likes oranges. Ben likes oranges.
People don't like apples
People only like oranges
People like oranges
People like fruit
Question 24
10 Points
Given a function described as the table below, what is y when x is 2?
0
1
2
4
Question 25
10 Points
Given a function described as the graph below, what is y when x is 3?
1
3
6
10
Question 26
10 Points
The figure below shows total costs for three gym memberships. Which is the most accurate statement?
Of the 3 memberships, Monthly is cheapest for under 5 months, while Standard is cheapest for over 10 months.
Platinum is costliest for any duration
Monthly is cheapest for any duration except for 5-10 months
Standard is cheapest for a duration between 5-10 months; other plans are cheaper for shorter or longer durations.
Question 27
10 Points
The figure shows estimated medical costs versus what a user actually pays for three health insurance plans with different deductibles. For which plan does the user pay the least for estimated medical costs of $4,000?
$500 deductible plan
$1,000 deductible plan
$2,000 deductible plan
The user pays the same for all three plans.
Question 28
10 Points
What is the value of cell C2?
2
24
50
64
Question 29
10 Points
What formula should be entered in A3 to compute A1 divided by C3?
=A3/A1
=A1/C3
=A1*C3
=C3/A1
Question 30
10 Points
Based on the vertical bar chart below, in which of the following months were approximately 10% of professional European soccer players born?
January
April
October
December
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Details & Information
Assessment due date
2/2/21, 1:59 AM (EST)
Goals & standards
Aligned with 2 goals
Attempts
1 attempt left
Grading
Maximum points
300 points
Description
Complete the midterm exam. You have one attempt at the exam. So, be sure you review all previous course
Hence , correct option is Option B i.e. Mel did pass the class.
How to Solve:The statement says that Mel scored C+ is Chemistry.
We will approach our answer logically by examining each option.
Option A says Mel does not like chemistry. This Cannot be true because maybe Mel likes chemistry but he just has scored less or maybe this C+ is an achievement for Mel.
Option B says that Mel did pass the class. This is possible because a student is considered as not qualified if he/she scores D or below, but Mel has scored C+ which is above the qualifying criteria.
Option C says that Mel did not achieve a passing grade for the class which is false because C+ is a passing grade scored by Mel.
Option D is Mel took math this semester which doesn't makes any sense.
hence, Option B is correct.
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999 pencils cost \$7.74$7.74dollar sign, 7, point, 74.
Which equation would help determine the cost of 666 pencils?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\dfrac{6}{x} = \dfrac{9}{\$7.74}
x
6
=
$7.74
9
start fraction, 6, divided by, x, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction
(Choice B)
B
\dfrac{x}{6} = \dfrac{9}{\$7.74}
6
x
=
$7.74
9
start fraction, x, divided by, 6, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction
(Choice C)
C
\dfrac{9}{6} = \dfrac{x}{\$7.74}
6
9
=
$7.74
x
start fraction, 9, divided by, 6, end fraction, equals, start fraction, x, divided by, dollar sign, 7, point, 74, end fraction
(Choice D)
D
\dfrac{6}{x} = \dfrac{\$7.74}{9}
x
6
=
9
$7.74
start fraction, 6, divided by, x, end fraction, equals, start fraction, dollar sign, 7, point, 74, divided by, 9, end fraction
(Choice E)
E
None of the above
Answer:
A= 6/x=9/$7.74
Step-by-step explanation:
Khan Academy
The system shown has (blank)
solution(s).
y= -x+1
2y - x = 2
Answer:
x=0 and y=1
Step-by-step explanation:
--6x = 48 (solving equations)
So if I have 3000 student and 1234 leave how many should I have left
Determine what type of sequence this is:
6.5, 5.3.5, 2....
Arithmetic or
Geometric
What is the common difference or common ratio of this sequence?
6.5, 5.3.5. 2....
Answer:
6.5=30, 5.3.5.2=150
It is a geometric series.
30, 150,......
a1=30
common ratio
r= 150/30= 5
an=ar^(n-1)
Rewrite in simplest terms: -2(3g-8g+8)-9g−2(3g−8g+8)−9g
Answer: 2g - 32
Step-by-step explanation:
-2 (3g - 8g + 8) - 9g - 2 (3g - 8g + 8) - 9g
First step is to use the distributive property to distribute 2.
The expression is now:
-6g + 16g - 16 - 9g - 6g + 16g - 16 - 9g
Now you put the like terms together..
-6g + 16g - 9g - 6g + 16g - 9g -16 - 16
All that is left to do is combine them!
(-6g + 16g - 9g - 6g + 16g - 9g) + (-16 - 16)
2g + (-32)
2g - 32
Hope that helped!
Please answer this:
Will give more points after answered thank you.
Answer:
a 31
b 1
c she could eat it herself
I hope it helps!!!
Step-by-step explanation:
Answer:
a) no.of chocolates each person recieved = 900/29
= 31.03
for second question, we have to round it to get 31 coz we want a perfect number there
b)remaining chocolates = (31 x 29) - 900
= 899-900 = 1
c) Only one candy is left with her, so I would insist she to have that chocolate
Hope it helped u,
mark as the brainliest Celina
^v^
What is the missing side length?
Answer:
12
Step-by-step explanation:
5^2+12^2=13^2. It is a right triangle
Find the x-Intercept and the y-Intercept of the line below. Click on "None" if applicable.
None
Answer: X-intercept is (2,0)
Y-intercept is (0,-2)
Step-by-step explanation:
Answer:
X-intercept is (2,0)
Y-intercept is (0,-2)
Step-by-step explanation:
The x intercept is the point at which the line hits the x-axis
in this picture, you can see that the given line hit the x-axis at (2,0)
The y intercept is the point at which the line hits the y-axis
so in this case you can see the the line hits the y-axis at (0,-2)
Bonus: if a line is horizontal it will not have an x intercept, and if a line is vertical, it will not have ay intercept
PLEASE HELP What is the x value. (Remember to round to the nearest tenth.)
Answer:
the answer might be 71.9
Step-by-step explanation:
add 12.8 and 5.3 =18.1 then
90-18.1=71 9
Simplify the expression:
Question 20 options:
A)
B)
2
C)
4
D)
select the correct answer
Answer:
A
Step-by-step explanation:
If g is equal to 8, then we can rewrite the fraction as 8/2+3. We can simplify this to 8/5. That means A is correct.
I don't understand this math at all plz help me
The next term in the sequence is obtained by subtracting 4 from the previous term:
13 = 17 - 4
9 = 13 - 4
5 = 9 - 4
and so on.
Recursively, we can describe the n-th term in the sequence (denoted a(n)) as a function of the (n - 1)-th term:
a(n) = a(n - 1) - 4
starting with a(1) = 17. So we have, for instance,
a(2) = a(1) - 4 = 17 - 4 = 13
We want to find an explicit formula for a(n), meaning we want a way to determine the n-th term only as a function of n, and not any other known term in the sequence. We can iteratively apply the recursive rule above:
a(n) = a(n - 1) - 4
a(n - 1) = a(n - 2) - 4
→ a(n) = (a(n - 2) - 4) - 4 = a(n - 2) - 2×4
a(n - 2) = a(n - 3) - 4
→ a(n) = (a(n - 3) - 4) - 2×4 = a(n - 3) - 3×4
a(n - 3) = a(n - 4) - 4
→ a(n) = (a(n - 4) - 4) - 3×4 = a(n - 4) - 4×4
and so on, down to
a(n) = a(1) - (n - 1)×4
The first term is a(1) = 17, so
a(n) = 17 - 4 (n - 1) = 21 - 4n
Jeffrey is 5 years older than his brother. If j represents Jeffrey’s age, the expression j−5 can be used to find his brother’s age. If Jeffrey is 23, how old is his brother?
If j=23 and j-5 is how old Jeffery's brother is then Jeffrey's brother is 17 years old.
So j=17
An arithmetic sequence is given below. 4, 9, 14, 19, Write an explicit formula for n^th term a v n.
Answer:
4 + 5(9) = a
Step-by-step explanation:
4 is the starting term, 5 is the constant term, and 9 is the amount of times you go farther into the sequence, and a is the total number you get
Simplify: 5w^5-(-4w^5)
Answer:
9w^5
Step-by-step explanation:
Simplify the expression: -2x + 3 - (5-6x)
Answer:
4x+3
How: -2x - (-6x) = 4
3 cannot be added there you go
A rectangular prism shaped book has a base area of square inches and a height of inch. What is the volume of the book?
Answer:
See Explanation
Step-by-step explanation:
The question has missing details, as the base area and height of the prism is not given.
To solve further, I'll assume that:
[tex]Base\ Area = 12\ in^2[/tex]
and
[tex]Height = 5in[/tex]
Using the above parameters, as point of reference.
The volume is:
[tex]Volume = Base\ Area * Height[/tex]
[tex]Volume = 12\ in^2 * 5\ in[/tex]
[tex]Volume = 60\ in^3[/tex]
Dave leaves his house and bikes directly east for 3 miles. He then turns and bikes directly
south for 4 miles. How many miles is Dave from his house?
Answer:
12
Step-by-step explanation:
Find the difference.