Answers
9514 1404 393
Answer:
C log3(√((x -4)/x)
Step-by-step explanation:
The applicable rules of logarithms are ...
log(a/b) = log(a) -log(b)
log(a^n) = n·log(a)
The base is irrelevant, as long as all logs are to the same base.
__
[tex]\dfrac{1}{2}(\log_3{(x-4)}-\log_3{(x)})=\dfrac{1}{2}\log_3(\dfrac{x-4}{x})=\boxed{\log_3\left(\sqrt{\dfrac{x-4}{x}}\right)}[/tex]
Related Questions
Here is an inequality: -2x>10
List some values for x that would make this inequality true.
Answers
Answer:
The right solution is "[tex]x>-5[/tex]".
Step-by-step explanation:
The given inequality is:
⇒ [tex]-2x>10[/tex]
By solving the above expression, we get
⇒ [tex]x >-\frac{10}{2}[/tex]
⇒ [tex]x>-5[/tex]
Thus the above is the correct answer.
What's the rule for the following sequence?
4, 1, -2, -5, …
Answers
Answer:
7-3n
Step-by-step explanation:
the difference between 4, 1 is 1 -4= -3
the difference between 1, -2 is-2-1=-3
The formula is a + (n-1)d => 4 + (n-1)-3
=> 4 -3n +3
=> 7-3n
Answer:
Subtract -3
Step-by-step explanation:
4--3 is 1, 1--3 is -2, -2- -3 is -5, when subtracting negatives they add together to from a bigger negative.
Does (8,4) make the equation y = x true?
Answers
Answer:
false
Step-by-step explanation:
(8,8) or (4,4)
what are the points when you graph y = -7x -1
Answers
Answer: I believe you mean x and y intercepts? They are (0, -1) and (-1/7, 0)
Step-by-step explanation:
Plug in 0 for x and y (one at a time) for each intercept. eg The x intercept is at y=0 and the y intercept is at x=0.
PLS HELP ILL MARK AS BRAINLIST AND FOLLOW U
Answers
Answer:
[tex]31\:\text{square units}[/tex]
Step-by-step explanation:
We can break the composite figure into two triangles and two trapezoids. The area of a triangle is given by [tex]A=\frac{1}{2}bh[/tex] and the area of a trapezoid is given by [tex]A=\frac{b_1+b_2}{2}\cdot h[/tex] (average of the bases multiplied by the height).
Area of first triangle (larger triangle to the figure's left): [tex]\frac{1}{2}\cdot 4\cdot 4=8[/tex]
Area of second triangle (smaller triangle to the figure's right ): [tex]\frac{1}{2}\cdot 2\cdot 5=5[/tex]
Area of first trapezoid (smaller trapezoid directly underneath second triangle and adjacent to both triangles): [tex]4\cdot 2 =8[/tex]
Area of first triangle (larger triangle to the figure's left): [tex]5\cdot 2=10[/tex]
Thus, the area of the entire figure is:
[tex]8+5+8+10=\boxed{31\:\mathrm{units^2}}[/tex]
What is the approximate measure of the length of the tennis court, x? A. 49.9 ft B. 72.0 ft C. 93.1 ft D. 78.0 ft
Answers
Would you rather (A) Run for 12 minutes at least 10 miles and hour; ... OR ... (B) 20 minutes at 6 miles per hour?
Answers
what is 14.235 rounded to t nearest tenth
Answers
Answer:
14.2
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
THE ANSWER IS 14.2
Step-by-step explanation:
Which of the following sets do NOT represent Equivalent expression?
Answers
Answer:
Only B.
Step-by-step explanation:
Only B because 36/12 does not equal to 12/36!
HELP!
If the volume of the pyramid is 216 cm, and the length of s is 6 cm, what is the length of the altitude, h?
A. 42cm
B. 36cm
C. 35cm
D. 18cm
Answers
The height of the altitude h is 18 cm.
What is an altitude?Altitude is the vertical height of an object above some chosen level.
To calculate the length of the altitude h, we use the formula below
Formula:
h = 3v/l²................ Equation 1Where:
v = Volume of the pyramidl = Length of the baseh = length of the altitudeFrom the question,
Given:
v = 216 cm³l = 6 cmSubstitute these values into equation 1
h = 3×216/6²h = 18 cmHence, the right option is D. 18 cm.
Learn more about altitude here: https://brainly.com/question/27816517
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3. Which of the following is not equal to sin(270°)?
(1) cos(180)
(3) -sin (90)
(2) - cos(0)
(4) sin(360)
Answers
Mr. McGregor has plowed a square plot of land to make a garden. The area of the square garden is 256 ft. To the 2nd power
What is the length of one side of the garden?
Answers:
16 ft
32ft
64ft
128ft
Answers
Answer:
16 ft
Step-by-step explanation:
Area = Side^2 = (s)^2 = 256, Side = 16.
So, 16 ft.
Mark this as Brainliest if this was correct! I really appreciate it! :D
Answer:
16ft
Step-by-step explanation:
pleasee helppppp im so close to being done and this is my last day !!
Answers
ANSWER FOR UR QUESTION!
Graph
Find f(f(x))
Describe the Transformation
Find the Domain of the Composition f(f(x))
Solve for x
Solve the System of Equations
Find the Area Between the Curves
Solve by Graphing
Please help I will give brainliest
Answers
Answer:
52, 60, 68, 76..
Step-by-step explanation:
Please with explanation
Answers
Answer:
7.5 ,9.1 ans. hhfjvfbhhvvnjgvjki
Which of the following is an arithmetic sequence?
Answers
Arithmetic sequences are defined by a common difference between the numbers that’s both constant and consecutive.
To break it down:
The first option is {-1, 3, -3, -1}, which appears to be alternating, and there is more than 1 difference between the n term values. That is:
-1 to 3 = increase of 4
3 to -3 = decrease of 6
-3 to -1 = increase of 2
Therefore does not follow the definition of an arithmetic sequence.
The second option (the answer) {2, -2, -6, -10} is arithmetic, as it consistently and thus consecutively decreases by 4.
Finally, the last two sequences have the same issue with their pattern, {3, 6, 9, 15}
and {4, 14, 24, 32}. In which they stay constant for the first three n terms, but suddenly change in value on the 4th n term. Therefore, they are not arithmetic.
I hope this helped!
Multiply. Express your answer in simplest form. 2/3 x 5/6. Show work.
Answers
Step-by-step explanation:
[tex] \frac{2}{3} \times \frac{5}{6} \\ = \frac{10}{18} \\ = \frac{5}{9} [/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Is the statement true or false?
If x = 6, then x can
only be equal to 6.
True
False
Copyright © 2003 - 2021 Asellus Corporation
Answers
The answer is false
The statement "If |x| = 6, then x can only be equal to 6" is false.
The absolute value of a number represents its distance from zero on the number line.
The expression |x| = 6 means that the distance of x from zero is 6. Therefore, x can be either positive or negative 6.
In this case, x can be either 6 or -6 because both numbers have an absolute value of 6.
Hence, x is not limited to being equal to only 6.
To learn more on Absolute value click:
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which number is a composite number 9 5 2 11? (Need it ASAP)
Answers
Answer:
9
Step-by-step explanation:
A composite number is a number that has factors other than 1 and the number itself.
5 has no factors except 1 and 5. PRIME
2 has no factors except 1 and 2. PRIME
11 has no factors except 1 and 11. PRIME
9 can be multiplied by 3 and 3. COMPOSITE
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hope it helps
WILL GIVE BRAINIEST
Keith writes the numbers 1 to 20 on pieces of paper and places them in a hat. The probability of randomly selecting a number less than 16 is . Choose the likelihood that best describes the probability of this event. A. Neither likely nor unlikely B. Impossible O C. Likely D. Unlikely
Answers
Answer: Likely
Step-by-step explanation: I got it right!
Answer:
C. Likely
Step-by-step explanation:
Hope it helps :)
Josh says that −5/4 has the same quotient as 5/−4 . Is this true or false?
Answers
Answer:
true 100%
Step-by-step explanation:
what is 20% of 90???
Answers
Answer:
answer :
18
Step-by-step explanation:
use calculator it's easy to solve
Answer:
18
Step-by-step explanation:
20% of 90 = (20/100 )* 90
= 1/5 * 90
= 18
What is the inverse of the function g(x) = x + 16?
Answers
Answer:
[tex]g {}^{ - 1} (x) = 2 \sqrt[3]{x - 16} [/tex]
choose (2)
Jordan is baking brownies and chooses to use a round pan. The diameter of the pan is 12 inches. What is the area of the pan? Round to the nearest tenth.
Answers
y is inversely proportional to x.
When x=9, y = 8.
Find y when x= 6.
Answers
Answer:
y = 12 when x = 6
Step-by-step explanation:
The equation for inverse proportion is
xy = k where k is a constant
Let x = 9 and y = 8
9*8 = k
72 = k
The equation is xy = 72
Let x=6
6*y = 72
Divide each side by 6
6y/6 = 72/6
y =12
Find the volume and show work (round to the tenths)
Answers
Answer:
120 km^3
Step-by-step explanation:
the base is a right triangle
A = (leg1 x leg2)/2 = (6 x 8)/2 = 24 km^2
the volume of a prism is base area x height
V = 24 x 5 = 120 km^3
Answer:
2000
Step-by-step explanation:
find the volume of the following prism..helpppp pleasee!!!
Answers
Answer:
Step-by-step explanation :The volume V of a prism is V = Bh, where B is the area of the base, h is the height of the prism.To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Answer:
volume of the prism
(20×12×10)-(8×8×20)
2400-1280
1120 cm³
find the measure of the angle of elevation of the sun to the nearest degree, if a 100ft tall building casts a 150ft shadow.
Answers
Answer:
33.7º
Step-by-step explanation:
tan = opp/adj
tan∅ = 100/150 = 2/3
∅ = arctan 2/3
∅ = 33.690067525979787
33.7º
If these two triangular puzzle pieces are to be made congruent, what must be the measure of angle z?
Answers
Answer:
116
Step-by-step explanation:
180-28=152
152-36=116
Solve graphically: 2x - y = 7 and x - 2y = 5.
Answers
Answer:
(3, - 1)
Step-by-step explanation:
We want to solve the system of equations:
2*x - y = 7
x - 2*y = 5
graphically.
To do it, we need to graph both lines, it will be easier if we rewrite both lines in a more general way, like in the slope-intercept form:
y = -7 + 2*x
y = -(5/2) + x/2
Now, a solution of the system is a point (x, y) such that the point is a solution to both equations, then, when we graph the lines, as that point belongs to both equations, we should see that both lines pass through that point.
Then to find the solution of the system, we just need to graph the lines and find the point where the lines intersect.
Below, you can see a graph of the lines, and is easy to see that the lines do intersect at the point (3, - 1)