Answers
Answer:
[tex]x=45 \sqrt{5}[/tex]
Step-by-step explanation:
[tex]2 \log_3x+\log_35=4\log_315[/tex]
[tex]\textsf{Apply power log law}\quad n\log_ab=\log_ab^n:[/tex]
[tex]\implies \log_3x^2+\log_35=\log_315^4[/tex]
[tex]\textsf{Apply product log law}\quad \log_ab+\log_ac=\log_abc:[/tex]
[tex]\implies \log_35x^2=\log_315^4[/tex]
[tex]\textsf{Apply equality log law}\quad \log_ab=\log_ac \implies b=c:[/tex]
[tex]\implies 5x^2=15^4[/tex]
[tex]\implies x^2=10125[/tex]
[tex]\implies x=\pm \sqrt{10125}[/tex]
[tex]\implies x=\pm \sqrt{2025 \cdot 5}[/tex]
[tex]\implies x=\pm \sqrt{2025} \sqrt{5}[/tex]
[tex]\implies x=\pm 45 \sqrt{5}[/tex]
As we cannot take logs of negative numbers,
[tex]\implies x=45 \sqrt{5}\quad \sf only[/tex]
Related Questions
Which quantity could go in the blank to make the equation below true?
x + 2x +_____=5x
Answers
If you - x from each side of the equation you get: 2x + ____ = 4x
Then we can -2x from each side to get: ____ = 2x
Jim took 2 hours to take a test. He figured it took him 4
minutes to answer a multiple choice question, 8 minutes to
do a problem of just calculations, and 12 minutes to
complete a word problem. There were 15 questions and
he answered the same number of calculation problems as
word problems. How many multiple choice questions did
he answer?
Answers
Answer: it would be 5
Step-by-step explanation: i hope this helps
A tessellation could be created using parallelograms like the one shown below.
True or False?
Answers
Answer:
A. : True hope this helps someone
Step-by-step explanation:
A tessellation could be created using parallelograms like the one shown below is true.
What is a parallelogram?Parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
We have,
Tessellations can be created using a variety of shapes, including parallelograms.
A tessellation is a repeating pattern of shapes that completely covers a plane without any gaps or overlaps.
In a parallelogram tessellation, the parallelograms would fit together like puzzle pieces to fill the plane.
Thus,
A tessellation could be created using parallelograms like the one shown below is true.
Learn more about parallelograms here:
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Find the circumference of the circle to the nearest tenth. Use 3.14 for π. It is Zeny’s birthday. Teddy wants to buy a round cake for his presents. The radius of the cake is 11cm. What is the circumference of the cake?
Answers
Work Shown:
C = 2*pi*r
C = 2*3.14*11
C = 69.08
C = 69.1
This is the approximate distance around the circle, aka the perimeter.
Answer:
Circumference of cake (69.08cm)Rounding nearest to tenth is 69.1cm
Step-by-step explanation:
Given:
Radius of the cake :- 11cmTo find:
Circumference of the cakeSolution:
To find the circumference of the circle we are require radius and which is already mentioned in the Ques.
Formula
Circumference of circle =2πrCircumference of cake = 2*3.14*11
Circumference of cake= 22*3.14
Circumference of cake = 69.08cm
Hence, the circumference of cake is 69.08cm.
Circumference of cake (69.08cm)Rounding nearest to tenth is 69.1cm
Please help!!
Find the measure of the arc or angle indicated.
A. 60°
B. 90°
C. 30°
Answers
Answer: A
Step-by-step explanation:
WILL GIVE BRAINLIEST The solution to 12x = 36 is x =___. (Only input whole number)
Answers
Answer:
3
Step-by-step explanation:
12 x 3 = 36
Answer: if im not wrong it is 3 the other person who already answered is correct
Step-by-step explanation:
Please solve this!!!
Answers
Answer:
I believe A has the proper quartiles and the approx median marked correctly
Step-by-step explanation:
3+(-0.8)+0.25+(-0.75)
Answers
By simplifying the expression we get
1.7
factor using the greatest common factor (GCF)
4x² + 14
Answers
Answer:
2(2x^2 + 7)
Step-by-step explanation:
The GCF is 2.
2(2x^2 + 7)
Find the geometric mean between 20 and 30. If necessary, round to the nearest tenth
A) 17.3
B) 7.1
C) 24.5
D) 25
Answers
Can someone help me solve these??
Answers
Answer:
m < FGH = 83
mPM = 139
Bottom left:
x = 16
Bottom right:
x = 5
Step-by-step explanation:
The measurement value (which is sometimes referred to simply as the measurement) is the value given by a measuring instrument and the true value is the actual value of the property being measured.
Based on a survey of U.S. residents completed in 2014, ___________ percent of respondents agreed that global warming is occurring
Answers
Using the percentage concept, supposing 520 out of 1000 respondents believe in global warming, 52% of respondents agreed that global warming is occurring.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem, we suppose that 520 out of 1000 respondents believe in global warming, hence a = 520, b = 1000, and the percentage is of:
[tex]P = \frac{520}{1000} \times 100\% = 52\%[/tex]
More can be learned about the percentage concept at https://brainly.com/question/10491646
Simplify
2/3 - 5/6•8
A) -4
B) -6
C) -22/3
D) -4/3
Answers
Answer:
B) -6
Step-by-step explanation:
5/6 x 8 = 5/6 x 8/1 = 40/6 / 2 = 20/3 = 2/3 - 20/3 = -18/3 / 3 = -6
also please answer this it makes no snese
Answers
Answer:
? = 106°
Step-by-step explanation:
the 2 angles marked with double arcs are equal
the sum of the interior angles of a quadrilateral = 360° , then
63° + 85° + 2? = 360° , that is
148° + 2? = 360° ( subtract 148° from both sides )
2? = 212° ( divide both sides by 2 )
? = 106°
Use the regression calculator to compare the teams’ total home runs with their number of wins. a 2-column table with 9 rows. column 1 is labeled h r with entries 200, 158, 149, 146, 138, 137, 131, 116, 103. column 2 is labeled w with entries 93, 94, 66, 81, 86, 75, 61, 69, 55. what is the average rate of change of the trend line? round to the nearest hundredth.
Answers
The average rate of change of the trend line is 0.39
How to determine the average rate of change of the trend line?The points are given as:
hr =>200, 158, 149, 146, 138, 137, 131, 116, 103.
w => 93, 94, 66, 81, 86, 75, 61, 69, 55.
Using a graphing calculator, we have the following calculation summary:
Sum of X = 1278Sum of Y = 680Mean X = 142Mean Y = 75.5556Sum of squares (SSX) = 6044Sum of products (SP) = 2355The average rate (m) is then calculated using:
m = SP/SSX
This gives
m = 2355/6044
Evaluate the quotient
m = 0.38964
Approximate
m = 0.39
Hence, the average rate of change of the trend line is 0.39
Read more about trend lines at:
https://brainly.com/question/2589459
Answer:
0.39
Step-by-step explanation:
Megan randomly throws a dart at the square. Assuming the dart lands within the square, what is the probability that the dart lands within the dartboard? round your answer to the nearest tenth of a percent. %
Answers
The probability that the dart lands within the dartboard given the area of the dartboard and the square is 78.6%.
What is the probability?
Probability is the odds that an event would happen. The odds the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the dart lands within the dartboard = area of the dartboard / area of the square
25π / 100
(25 x 3.14) / 100 = 78.6%
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Answer:78.5 is the answer
Step-by-step explanation:
Does anyone know #13????
Answers
Roy worked part time over the summer and charged $15 an hour to mow lawns. How much money would he have made if it took him three hours to mow the Robertson's lawn? (help me pls)
Answers
Answer:
$45
Step-by-step explanation:
Since he charches $15 per hour you just multiply 15 and 3 and you get $45.
mildred has a bag of coins. the bag contains 10 dimes, 5 nickels, and 1 penny. she will randomly select 2 coins from the bag one at a time without replacement.what is the probability that mildred will select a dime first and then a penny.
Answers
Answer:
1/24
Step-by-step explanation:
10/16 × 1/15
the probability of her picking a dime first is one by twenty four
Can someone solve this now please
Answers
Remember to see the points of intersection of the graphs test for discriminant [b^2 - 4ac]
e.g. you have y = x^2 - 6x + 9, compare this to the general quadratic equation y=ax^2 + bx + c
Discriminant = (-6)^2 - 4(1)(9) = 0
For the graph to only touch x axis at one point discriminant must be equal to 0 so D is the answer as it is the only equations whose discriminant is equal to 0
Hope this helped :)
i am stuck i need help on this one
Answers
Answer:
B is the answer you were right
so sorry if I am wrong but I am really sure that is the answer
The approximate salary, in thousands, earned each year for the first five years is $400, $420, $441, $463, and $486. explain how you can evaluate the fifth partial sum. what does the fifth partial sum represent?
Answers
The fifth partial sum represents the sum of the first 5 terms in the sequence is equal to 2210.
The fifth partial sum represents the sum of the first 5 terms in the sequence.
What is the partial sum of sequence?The partial sum of a sequence gives the sum of the first n terms in the sequence.
Thus, the fifth partial sum represents the sum of the first 5 terms in the sequence.
The given geometric sequence :
$400, $420, $441, $463, and $486.
The fifth partial sum of the above sequence will be :
$400+ $420+ $441+$463+$486=$2210
Therefore, the fifth partial sum represents the sum of the first 5 terms in the sequence equal to 2210.
To learn more about the sequence visit:
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Answer:
Add the five terms.
Use the formula for the fifth partial sum.
The fifth partial sum represents the total amount of money the athlete earns over the first five years.
Step-by-step explanation:
ax2 + bx + c
Use the X method to find the solutions of
6x2 + 2x - 20 = 0.
X=
ac
X=
Answers
Answer:
X=-1/2 or x=5/3
Step-by-step explanation:
1. is -2
2. 5/3
i got it right
Please answrer Thank you
Answers
Answer:
x° = 48°
Step-by-step explanation:
The triangle is isosceles where two angles and sides are the same.
We know that the triangle equal to 180°.
So
x° + 66° + 66° = 180
x° + 132° = 180°
x° = 48°
Kip is using a recipe that calls for 1/4 cup of lemon juice. He has a 6-fluid- ounce bottle of lemon juice. There are 8 fluid ounces of lemon juice in 1 cup. How many batches of the recipe can Kip make?
Answers
Answer:
3
Step-by-step explanation:
What is the slope of the line in the graph below?
Answers
Explanation: if you use rise/run you start on the dot to the right, rise 1, then go left meaning negative 4. Which gives you -1/4
In Manchester, 3 of the 18 radio stations play country music.
What is the probability that a randomly selected station will play country music?
Write your answer as a fraction or whole number.
P(country) =
Answers
Answer:
There is a one in six chance that a randomly selected radio plays country music.
Step-by-step explanation:
There is a 3/18 chance but that can be simplified if you divide both sides by 3 to get 1/6
How many license plates can be made using three uppercase English letters followed by four digits
Answers
Because all three digits can be randomized and all of the following four digits can also be put into different place orders so that would mean since there are three uppercase English letters and four digits combined those together that makes seven in total randomize it seven times and you get 49 license plates
Alicia is mixing paint. She has a bucket that contains 5 1/2 pints of paint. She adds 1/4-pint containers of paint to the bucket until she has at most 8 3/4 pints of paint in the bucket.
Answers
Answer:
13 times?
Step-by-step explanation:
From 5 1/2 to 8 1/2 she needs to add 3 * 4 = 12 times since 1 paint = 4 pint
then she just needs to add 1 more to become 8 3/4
12 + 1 = 13
The order is 0 -> 1/4 -> 1/2 -> 3/4 -> 1
The shaded parts of the fraction bar below represent a fraction.
A fraction bar is divided into 3 parts. 1 part is shaded.
Which bar models an equivalent fraction?
Answers
The answer is the last bar model.
The orignal model is 1/3 and the last model has 4/12 shaded and divide that by 4 you get 1/3 have a good day.