Answer:
7) [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]
9) [tex]5log_4(7) - 5log_4(12)[/tex]
11) [tex]5log_5 \ (x) - log_5 \ (y)[/tex]
Step-by-step explanation:
[tex]log_3 (\frac{x}{y})^{4}[/tex]
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Use Logarithm of a Quotient which states
[tex]log_b \frac{M}{N} = log_b M-log_bN[/tex]
And also use Logarithm of a Power which states
[tex]log_b\ M^{n} = n\log_bM[/tex]
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So using these two properties,
7. [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]
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For #9, use the same logarithm propertied
[tex]log_4(\frac{7}{12})^5 = 5log_4(7) - 5log_4(12)[/tex]
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#11 is also the same concept
[tex]log_5\ \frac{x^5}{y} = 5log_5 \ (x) - log_5 \ (y)[/tex]
It is not - 5 log5(y) since only x is to the power of 5 not y
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Hope this is what you were looking for and helps you! Have a nice day/night :)
Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?
Answer:
2/3
Step-by-step explanation:
Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?
1 decametre = 10 metres
Hence,
10 meters = 6 pieces of ribbon
1 meter = x pieces
Cross Multiply
10x = 6
x = 6/10
x = 2/3 (1 meter pieces of ribbon)
Write 200 as a product of primes.
Use index notation when giving your answer.
Answer:
Step-by-step explanation:
The prime factorization of 200 is as follows: 200 = 2 × 2 × 2 × 5 × 5.
The prime factorization of 200 will be equal to 2 × 2 × 2 × 5 × 5 or 2³ × 5².
It is given that a number is 200.
We have to find out the prime factorization of 200.
What do you mean by prime factorization ?
Prime factorization is a way to find the prime factors of a number, such that the original number is evenly divisible by the prime numbers.
As per the question ;
The given number is 200.
We have to find the prime factors of 200.
This meant to find out the prime numbers we should multiply together to make the original number which is 200.
So ;
200
= 2 × 100
= 2 × 2 × 50
= 2 × 2 × 5 × 10
= 2 × 2 × 2 × 5 × 5
or
= 2³ × 5²
Thus , the prime factorization of 200 will be equal to 2 × 2 × 2 × 5 × 5 or 2³ × 5².
To learn more about prime factorization click here ;
https://brainly.com/question/1081523
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people in here again and again. I think this is the last question
Answer:
2.4 cm
Step-by-step explanation:
We know the length of segment AB and the length of segment BC. To find their midpoints, we can divide their length by 2.
Let's find the midpoint of AB.
Segment AB: 10 cm Midpoint of AB: 10/2 = 5 cmNext let's find the midpoint of BC.
Segment BC: 5.2 cmMidpoint of BC: 5.2/2 = 2.6 cmIn order to find the difference between these midpoints, we can subtract the midpoint of AB by the midpoint of BC.
5 cm - 2.6 cm = 2.4 cmTherefore, the difference between the midpoints of AB and BC is 2.4 cm.
y/3 + 2 = 14 I need help
Answer:
y = 36
Step-by-step explanation:
[tex]\frac{y}{3}+2 = 14\\\\\frac{y}{3}=14-2\\\\\frac{y}{3}=12\\\\y = 12*3\\\\y = 36[/tex]
Write ways to represent the fraction 10/9.
Answer:
mixed number form 1 1/9
decimal form 1.11111111111111 it goes on forever
percent form 111.111111111111% it goes on forever (again)
Step-by-step explanation:
i hope that helps!
Answer:
1 1/9
Step-by-step explanation:
10/9, you get 1 as the whole number.
You have a 1 left over when dividing 10 and 9. the 1 will be over 9.
Giving you 1 as the whole number and 1/9 next to it.
5x + 3y = -15 + y= 2/3x + 9
What is the equation of a line .........
Answer:
y = -x + 2, B is the answer
Step-by-step explanation:
If slope is -1, the equation is y = -x+b
Plug in (3,-1) into that equation.
-1 = -3 + b
b = 2
Graph the equation
y = -3. Determine the
slope of the line
Answer:
The slope is 0
Step-by-step explanation:
The line is horizontal. All horizontal lines have a slope of 0.
The graph is attached.
if a parallelogram is 1.9ft at its base and 1.5 at its height what's its area?
Answer:
2.85 ft²
Step-by-step explanation:
1.9 x 1.5
HELP ASAP PLEASE EXPLAIN THOUGH
Answer:
35 times, or D
Step-by-step explanation:
A bag contains 5 red marbles, 6 blue marbles, 3 green marbles, 4 black marbles, and 2 yellow marbles. A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?
A quick lesson on probability:
The probability of an event is: (the number of ways what you want can happen) / (total number of outcomes possible). For example, in a coin flip, there is 1 way to get heads, and 2 possible outcomes. Thus, the possiblity of flipping a coin and getting heads is:
(1 way to get heads) / (2 possible outcomes) = 1/2
Then, if we were to flip the coin 100 times, we would expect about 1/2 of the times to be heads, so we should expect heads 50 times.
On to the problem.
There are 3 green marbles and 4 black marbles, so there are 7 ways to draw a green or black marble.
Then, there are 5 + 6 + 3 + 4 + 2 = 20 possible outcomes.
Using the formula to find the probability, substitute the values we just found.
(the number of ways what you want can happen) / (total number of outcomes possible) =
(7 ways to draw a green or black marble) / (20 marbles that can be drawn) = 7/20 chance of getting a green or black marble.
Then, because there is a 7/20 chance of getting what we want, and there are 100 draws, we can say that an we should get green or black
7/20 * 100 = 35 times, or D
Feel free to ask any questions! :)
please help i don't know what I'm doing
Answer:
11 is the answer
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
to find one of the addend
subtract another one of the addend by the sum
eg : 9 + __= 20
20 - 9 = 11
now we can check
9 + 11 = 20
hope this helps
thanks bye
Pl S help pls np helps helpss
Answer:
2 dollars each I think........
Which number line shows the solution to the inequality n + 6 < 4?
Answer:
D) The very last one
Step-by-step explanation:
n + 6 < 4
n < -2
< means it's an open circle and goes in the LEFT direction
identify the zeros of each function please
Answer:
6 zeros in total
Step-by-step explanation:
Answer:29. (-5,0) 30. (-1,0) (3,0) 31. (0,0) (2,0) (8,0)
Step-by-step explanation:
Find the points that lie on the x axis
Describe the behavior of the function ppp around its vertical asymptote at x=-2x=−2x, equals, minus, 2.
Answer:
[tex]x->-2^{-}, p(x)->-\infty[/tex] and as [tex]x->-2^{+}, p(x)->-\infty[/tex]
Step-by-step explanation:
Given
[tex]p(x) = \frac{x^2-2x-3}{x+2}[/tex] -- Missing from the question
Required
The behavior of the function around its vertical asymptote at [tex]x = -2[/tex]
[tex]p(x) = \frac{x^2-2x-3}{x+2}[/tex]
Expand the numerator
[tex]p(x) = \frac{x^2 + x -3x - 3}{x+2}[/tex]
Factorize
[tex]p(x) = \frac{x(x + 1) -3(x + 1)}{x+2}[/tex]
Factor out x + 1
[tex]p(x) = \frac{(x -3)(x + 1)}{x+2}[/tex]
We test the function using values close to -2 (one value will be less than -2 while the other will be greater than -2)
We are only interested in the sign of the result
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As x approaches -2 implies that:
[tex]x -> -2^{-}[/tex] Say x = -3
[tex]p(x) = \frac{(x -3)(x + 1)}{x+2}[/tex]
[tex]p(-3) = \frac{(-3-3)(-3+1)}{-3+2} = \frac{-6 * -2}{-1} = \frac{+12}{-1} = -12[/tex]
We have a negative value (-12); This will be called negative infinity
This implies that as x approaches -2, p(x) approaches negative infinity
[tex]x->-2^{-}, p(x)->-\infty[/tex]
Take note of the superscript of 2 (this implies that, we approach 2 from a value less than 2)
As x leaves -2 implies that: [tex]x>-2[/tex]
Say x = -2.1
[tex]p(-2.1) = \frac{(-2.1-3)(-2.1+1)}{-2.1+2} = \frac{-5.1 * -1.1}{-0.1} = \frac{+5.61}{-0.1} = -56.1[/tex]
We have a negative value (-56.1); This will be called negative infinity
This implies that as x leaves -2, p(x) approaches negative infinity
[tex]x->-2^{+}, p(x)->-\infty[/tex]
So, the behavior is:
[tex]x->-2^{-}, p(x)->-\infty[/tex] and as [tex]x->-2^{+}, p(x)->-\infty[/tex]
WILL GIVE BRAINLIEST!!
(LOOK AT PHOTO)
Answer:
Five less than the number than....... 8/n - 5 +7
Eight more than the product........ 8 +7n - 2
Five times the sum..... 5(n+7)
Twice the difference.... 2 (8-n)
Answer:
Blue:
[tex] \frac{8}{n} - 5 + 7[/tex]
Green:
[tex]8 + 7n - 2[/tex]
Orange:
[tex]5(n + 7)[/tex]
Purple:
[tex]2(8 - n)[/tex]
please help me with this it is practice and I'm confused
Answer:
D
Step-by-step explanation:
A function is any line that does not repeat in x-value (doesn't repeat on the x-axis).
Please help!!
Find the value of x to the nearest tenth.
Answer:is it 1
Step-by-step explanation:
please help
find the value of x in the isosceles triangle shown below.
V80
V80
Answer:
Option A. x = 8
Step-by-step explanation:
Please see attached photo.
From the attached photo,
we shall determine the value of y. This can be obtained by using pythagoras theory as illustrated below:
(√80)² = 8² + y²
80 = 64 + y²
Collect like terms
80 – 64 = y²
16 = y²
Take the square root of both side
y = √16
y = 4
Finally, we shall determine the value of x. This can be obtained as follow:
From the attached photo,
x = 2y
but:
y = 4
Therefore,
x = 2y
x = 2 × 4
x = 8
100% of what number is 27? Provide an exact fraction answer
Answer:
Your answer is 27
I hope I helped, would appreciate brainliest! ;)
Step-by-step explanation:
'Percent (%)' means 'out of one hundred':
27% = 27 'out of one hundred',
p% is read p 'percent',
27% = 27/100 = 27 ÷ 100
Calculate percentage:
'Percentage' is obtained by multiplying 100 by 27%
27% of 100 is equivalent to multiplying them:
27% × 100 = ?
27% × 100 =
(27 ÷ 100) × 100 =
(27 × 100) ÷ 100 =
2,700 ÷ 100 =
27
Proof.
How do we check the result?
If 27% × 100 = 27 =>
Divide 27 by 100...
... And see if we get as a result: 27%
Note:
100/100 = 100 ÷ 100 = 100% = 1
Multiply a number by the fraction 100/100,
... and its value doesn't change.
n/100 = n%, any number.
Calculate the percent value:
27 ÷ 100 =
0.27 =
0.27 × 100/100 =
(0.27 × 100)/100 =
27/100 =
27%
So we have proved that the calculations are correct.
Answer:
Percentage of
27% of 100 = 27
Answer:
27%
Convert fraction (ratio) 27 / 100 Answer: 27%
HELP HELP HELP HELP HELP!
Distribute the following expression, and type the equivalent expression into the text box.
3(12x-6)
Answer: thanks for brainly points kid
Step-by-step explanation:
What do you call an alligator in a vest?
Answer:
An InVESTtigator
Step-by-step explanation:
I've heard this before
Answer:
An Investigator.
g(x)=-(x+1)(r-1)(-4)
In standard form?? Please help!
Answer:
g(x) = 4rx + 4r - 4x - 4
Step-by-step explanation:
g(x)= -(x+1)(r-1)(-4)
please tell me answers I am given you brainliest
Answer:
what is the question or whatever
Prove \triangle ABE\cong\triangle ACE△ABE≅△ACE. Be sure to state any congruencies and the criteria used to determine them.
Answer:
The answer is below
Step-by-step explanation:
Two triangles are congruent if they have the same shape and their corresponding sides are equal to each other.
1) AB = DC, BE = CE (given)
2) ∠AEB≅∠DEC (vertical angles are congruent)
3) ΔABE ≅ ΔACE (side angle side congruence theorem)
If the two sides and an included angle of one triangle is equal to two sides and one included angle of another triangle, then the two triangles are congruent by SAS congruence theorem.
Now use the length of the vertical line segment and the horizontal line segment to find the distance between G and H. Substitute these values in the equation for the Pythagorean Theorem.
Answer:
please first tell me the numbers written
Is the following expression greater than, less than, or equal to zero? (a^2+b^2)/(a^2+b^2+1)
so I think it's equal to but can someone verify it for me?
Answer:
is equal cuz a will be cut and be will be cut so what is left 1 is left so it is equal plz Mark me as the brainliest and thank me
If y = x² + 2x + 3, find the value of y when x = -1
Answer:
y = 2
Step-by-step explanation:
Given
y = x² + 2x + 3 ← substitute x = - 1
y = (- 1)² + 2(- 1) + 3 = 1 - 2 + 3 = 2
a b c or d thanks for helping me
Answer:
either A,B,C, or D?
Step-by-step explanation:
9 m
3 m
3 m
What is the area, in square meters, of the shaded region in the diagram?
Answer:
Notice that the side length of the square is 38 m.
area of square = (side length)2 = (38 m)2 = 1444 m2
Notice that the diameter of the circle is 38 m .
And its radius = diameter / 2 = 38m / 2 = 19 m
area of circle = pi * radius2 = pi * (19m)2 = pi * 361 m2 ≈ 1133.54 m2
So......
area of shaded region = area of square - area of circle
area of shaded region ≈ 1444 m2 - 1133.54 m2
area of shaded region ≈ 310.46 m2
Step-by-step explanation:
Notice that the side length of the square is 38 m.
area of square = (side length)2 = (38 m)2 = 1444 m2
Notice that the diameter of the circle is 38 m .
And its radius = diameter / 2 = 38m / 2 = 19 m
area of circle = pi * radius2 = pi * (19m)2 = pi * 361 m2 ≈ 1133.54 m2
So......
area of shaded region = area of square - area of circle
area of shaded region ≈ 1444 m2 - 1133.54 m2
area of shaded region ≈ 310.46 m2