Answers
9514 1404 393
Answer:
log₁₂(4)
Step-by-step explanation:
The applicable rule of logarithms (to the same base) is ...
log(a^b) = b·log(a)
__
Then the expression simplifies as follows:
[tex]3\log_{12}(2)+\dfrac{1}{3}\log_{12}(2^3)-\log_{12}(2^2)\\\\=3\log_{12}(2)+\dfrac{3}{3}\log_{12}(2)-2\log_{12}(2)=(3+1-2)\log_{12}(2)\\\\=2\log_{12}(2)=\log_{12}(2^2)=\boxed{\log_{12}(4)}[/tex]
Related Questions
What is c? 1/3c = 3/8;c=3/4
Answers
Answer:16
Step-by-step explanation:
U just mu
Solve: (4hj)^0
A. 0
B. 4h^1j^1
C. 4
D. 1
Answers
Answer:
Any number powered to zero, the answer to the equation will be 1
Hooke’s Law of Elasticity states that the force applied, y, varies directly with the distance a spring stretches, x (assuming the spring is not stretched past its elastic limit). If a force of 160 newtons stretches a spring 800 cm, how far will a force of 368 newtons stretch the same spring? Justify your answer.
Group of answer choices
F. It will stretch the same spring 73.6 cm because the equation is y equals 5x.
G. It will stretch the same spring 73.6 cm because the equation is y equals one fifth x..
H. It will stretch the same spring 1,840 cm because the equation is y equals 5x.
J. It will stretch the same spring 1,840 cm because the equation is y equals one fifth x..
Answers
Answer:
H: It will stretch the same spring 1,840 cm because the equation is y equals 5x.
Step-by-step explanation:
800=y
160and368=x
You find the answer by dividing,
⁸⁰⁰⁄₁₆₀= ʸ⁄₃₆₈800 divided by 160 equals 5 which means the equation is y equals 5x
and 368x5=1,840
also, do you go to college park?
Please answer this questionnnn
Answers
Answer:
it's either 1/1250 or 1250/1 I'm not really sure which way
Which table represents the statement a draft friends at a rate of 32 mph
Answers
Answer:
A.
Step-by-step explanation:
Answer: it is the first choice
Fun fact
are Bananas are curved because they grow towards the sun ☀️
2
true or false
Answers
Answer:
true
Step-by-step explanation:
As bananas grow, the fruits start to become heavy and begin sinking towards the ground. However, fruits naturally seek the sun which means that as they mature, they start to curve upward in search of the sun’s rays. This is because bananas contain a chemical called auxin, a plant hormone that affects how the plant responds to sunlight.
Answer:
That's True
Step-by-step explanation:
Pls help me with this problem
Answers
Answer:
when adding 3
6+3=9
when subtracting 2
9-2=7
7,8,9,10,11,12,13,
assignment
1 of
POSSIBLE POINTS: 2
Two students, Brian and Alexa, both broke their chromebooks. Brian has $50 in his bank account and makes 12 dollars for every driveway
that he shovels. Alexa has 10 dollars in her bank account but makes $20 for every driveway that she shovels. The graph is shown below
20
Answers
Answer:
8267
Step-by-step explanation
Find the slope of the line -x = -3y + 9
Answers
Answer:
m= 1/3
Step-by-step explanation:
work out the difference between 77.5 and 2.27
Answers
77.5-2.27 is equal to 75.23
hope it helps
The difference of our given numbers between 77.5 and 2.27 is 75.23.
What is a polynomial?They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.
We are asked to find the difference between 77.5 and 2.27
Upon converting our given problem as a subtraction problem, we will get:
77.5
- 2.27
Upon subtracting our given numbers, we will get;
77.5
- 2.27
75.23
Therefore, the difference of our given numbers between 77.5 and 2.27 is 75.23.
Learn more about difference here:
https://brainly.com/question/11353501
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Answers
Step-by-step explanation:
Is this some typing error? Please retype your question for assistance
Plz help and I will give brainliest
A family wants to save $100 each month. They record their progress toward this goal at the end of each month. In January they saved $120 and recorded 1$20 at the end of the month. What should they record for the month of February if they only saved $80 that month? Explain.
If you put anything random as the answer I WILL report
Answers
Answer:
200 dollars
Step-by-step explanation:
Answer:
$200.
Step-by-step explanation:
$200 because if they save $120 then $80, $200.
(120+80=200.)
Hope this helps plz hit the crown :D
sorrry for not answering earlier
write an equivalent expression for 8x + 9
Answers
Answer:
8+8+8+8+8+8+8+8+8.
Step-by-step explanation:
Just add 8 nine times.
Answer:
9 + 8x
Step-by-step explanation:
it's the same but backwards
it's called a Palindrome
Hope this helped a little!
How do I do this please help me
Answers
Answer: I think it might be (0,8)
Step-by-step explanation:
Write the equation of the line using slope-intercept form
with the following information:
( 1,9) and (2,3)
Answers
Answer:
its 1290 ans there is the awer
Carlos is making three cakes. One cake requires 3/4 of a cup sugar. How much sugar will he need to make all three cakes?
A. 3
B. 9/12
C. 2 1/4
D. 4
Answers
Answer:B.9/12
Step-by-step explanation:
Answer:
2 1/4 cups
Step-by-step explanation:
3/4 is for one cake, if Carlos is making 3 times that amount of cakes, Carlos needs three times the amount of sugar. So, our equation is:
3/4 x 3 = 9/4
9/4 = 2 1/4 or 2.25
So, Carlos needs 2 1/4 cups of sugar for 3 cakes
A board game uses a bag of 105 lettered tiles. You randomly choose a tile and return it to the bag. The table shows the number of vowels and the number of consonants after 50 draws. Predict the number of vowels in the bag.
This is what the table says:
Vowels Consonants
18 32
Answers
Answer:
38
Step-by-step explanation:
thats the answer
Simplify the exponential expression 48 Superscript one-half.
2 (24 Superscript one-half Baseline)
3 (16 Superscript one-half Baseline)
4 (3 Superscript one-half Baseline)
16 (3 Superscript one-half Baseline)
Answers
Answer:
the answer is C here you go for anyone needing it
Step-by-step explanation:
Answer:
The answer is C. (2)
Step-by-step explanation:
Consider the inequality x> 7.
Answers
Answer:
x is greater than 7, so x can be 8 or more.
Answer:
if x is greater than seven it would be 8 or more can't be 7 because its not >
Step-by-step explanation:
I
A 10 kg box is pulled across the floor at a constant speed. If the force of pull was 70 N at
a 30° angle:
a. What was the force of friction
b. What was the coefficient of friction
Answers
Answer:
Acceleration equals zero because of constant velocity
[tex]f - fr = ma \\ 70 \cos(30) - fr = 0 \\ 70 \cos(30) = fr \\ fr \: = 60.62[/tex]
coefficient
Fr = coefficient × r
60.62= ce ×100
0.60 = coefficient
Which graph represents a function
Answers
Answer:
The top left.
Step-by-step explanation:
You can use the vertical line test in order to prove if something is a function. If you place a vertical line on the graph and it intersects more than one point on the x-axis, it is not a function. Functions do not have overlapping x variables.
please help i need to raise my grade
Answers
Answer:
use brainly
Step-by-step explanation:
The numbers –12, –7, –2, 3, . . . follow a pattern. What are the next three numbers in this pattern? A. 8, 13, 18 B. 5, 10, 15 C. 2, 8, 13 D. 8, 14, 17
Answers
Answer:
A.
Step-by-step explanation:
5 is added each time
3 + 5 = 8
8 + 5 = 13
13 + 5 = 18
Answer:
8,13,18
Step-by-step explanation:
Help!!”A 41-foot rope is stretched from the top of a 40-foot flagpole to the ground. How far is the base of the flagpole from the end of the rope.”
Answers
Answer:
9 feet away
Step-by-step explanation:
40²+b²=41²
1600+b²=1681
b²=81
b=9
The base of the flagpole from the end of the rope is 9 feet.
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
Hypotenuse = 41 foot
Base = x
Height = 40 foot
Applying the Pythagorean theorem.
41² = x² + 40²
1681 = x² + 1600
x² = 1681 - 1600
x² = 81
x = 9
Thus,
The base of the flagpole from the end of the rope is 9 feet.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
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7/2x + 1/2x = 10 + 9/2x
Answers
Answer:
x=-1/20
Step-by-step explanation:
7/2x+1/2x=10+9/2x
We move all terms to the left:
7/2x+1/2x-(10+9/2x)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: 2x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
7/2x+1/2x-(9/2x+10)=0
We get rid of parentheses
7/2x+1/2x-9/2x-10=0
We multiply all the terms by the denominator
-10*2x+7+1-9=0
We add all the numbers together, and all the variables
-10*2x-1=0
Wy multiply elements
-20x-1=0
We move all terms containing x to the left, all other terms to the right
-20x=1
x=1/-20
x=-1/20
Answer:
[tex] \frac{7}{2} x + \frac{1}{2}x = 10 + \frac{9}{2} x \\ ( \frac{7}{2} + \frac{1}{2} - \frac{9}{2} )x = 10 \\ \frac{ - 1}{2} x = 10 \\ - x = (10 \times 2) \\ x = - (10 \times 2) \\ x = -20[/tex]
Which of the following is the slope of the line that passes through the points
(-3, 5) and (1,15) ?
a) 5
b) -3
C)7/3
D)5/2
Answers
Question is in picture below
Answers
Answer:
[tex] \frac{y - 18}{x - 1} = \frac{23 - 18}{1.5 - 1} = \frac{5}{0.5} = 10 \\ y - 18 = 10(x - 1) = 10x - 10 \\ y = 10x + 18 - 10 = 10x + 8 \\ \boxed{f(x) = 10x + 8}[/tex]
A. is the right answer.hope this helps.
please help quick time
Answers
Answer:
[tex]Area = 34.2cm^2[/tex]
Step-by-step explanation:
Let the three sides be a, b and c respectively.
Such that:
[tex]a = 8[/tex]
[tex]b = 9[/tex]
[tex]c= 10[/tex]
Required
Determine the area
This is calculated as:
[tex]Area = \sqrt{s(s-a)(s-b)(s-c)[/tex]
Where
[tex]s = \frac{1}{2}(a + b + c)[/tex]
Substitute values for a, b and c
[tex]s = \frac{1}{2}(8 + 9 + 10)[/tex]
[tex]s = \frac{1}{2}(27)[/tex]
[tex]s = 13.5[/tex]
Substitute values for a, b, c and s in
[tex]Area = \sqrt{s(s-a)(s-b)(s-c)[/tex]
[tex]Area = \sqrt{13.5 * (13.5 - 8)* (13.5 - 9)* (13.5 - 10)[/tex]
[tex]Area = \sqrt{13.5 * 5.5* 4.5* 3.5[/tex]
[tex]Area = \sqrt{1169.4375[/tex]
[tex]Area = 34.2[/tex] -- Approximated
What number is 40% of 160?
Try to explain
Answers
Answer: 64
Step-by-step explanation:
40% of 160
40/100 x 160
6400/100
64
Did I explain this well?
Answer: 64
Step-by-step explanation: So you would start off with the ratio of 40:100 other known as in fraction form 40/100 and you know of means to multiply so you grab the numbers 160 and 40 and mulitiply those digits together and you get 6400. This is where the 100 comes to place and you divide the 6400 by 100 and you get 64.
A cone has a diameter labeled twelve centimeters and a height labeled thirty-two centimeters. Find the area of a vertical cross section through the center of the base of the cone.
Answers
Answer:
[tex]A=0.0192[/tex]
Step-by-step explanation:
Diameter labeled twelve centimetres D =12cm => 0.12
height labeled thirty-two centimetres H= 32cm => 0.32
Generally the vertical cross section of this cone is a triangle
Mathematically solving
Area of vertical cross section through the center of the base of the cone is given by [tex]A=1/2 D*height[/tex]
[tex]A=R*H[/tex]
Therefore
[tex]A=\frac{0.12}{2} *0.32[/tex]
[tex]A=0.06 *0.32[/tex]
[tex]A=0.0192[/tex]