ln(40) + 2ln(1/2) + ln(x)
First, you should take the 2 and put it back in the argument. Since it's a coefficient, when you put it back it in would be a power. That changes 2ln(1/2) to ln(1/2 ^ 2), which is ln(1/4).
ln(40) + ln(1/4) + ln(x)
Then, to add these, we just multiply the arguments, meaning we just have:
ln(40 * 1/4 * x)
Multiply and then we're done.
ln(10x)
Using logarithmic function, the condense of Ln 40 + 2 ln 1/2 + ln x is ln(10x).
What is logarithmic function?Logarithmic function is function is an " inverse of an exponential function so that the independent variable appears logarithmic function".
According to question,
Ln 40 + 2 ln 1/2 + ln x
Properties of Logarithmic function [tex]x ln (a) = ln(a^x)[/tex].
Using above properties we can write [tex]2 ln \frac{1}{2}[/tex] [tex]= ln(a^(\frac{1}{2})^2)[/tex] [tex]=ln(a^\frac{1}{4})[/tex].
Properties of Logarithmic function [tex]ln(a) + ln(b) = ln(ab)[/tex]
Using above properties we can write Ln 40 + 2 ln 1/2 + ln x as [tex]ln(40 . \frac{1}{4}.x)[/tex].
= [tex]ln(10x)[/tex]
Hence, Using logarithmic function, the condense of Ln 40 + 2 ln 1/2 + ln x is ln(10x).
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Quadrilateral GHJK is a rectangle.
Find the measure of angle 1, given that the measure of angle 4 is 54°. *
(1 Point)
54°
46°
126°
134°
Answer:
126 degrees
Step-by-step explanation:
The sum of adjacent side of the rectangle is 180 degrees
Hence <1 + <4 = 180 degrees
Given
<4 = 54 degrees
<1 = 180 - <4
<1 = 180 - 54
<1 = 126degrees
Hence the value of <1 is 126 degrees
Can someone Help me please ?
9514 1404 393
Answer:
1) c, f
2) a, e
3) b, d
Step-by-step explanation:
If you think about the units associated with a coordinate (feet, for example), then you may recognize the following
a) each difference is of "feet", so each difference will have units of "feet". The ratio of "feet" to "feet" cancels the units, leaving a pure number. In this case, it is called "steepness" in selection e. Steepness is given by the slope formula (2).
__
b) The difference in parentheses has units of "feet" (as in (a)), so the square will be "square feet". The sum of two of those will still be "square feet" and the square root of that will be "feet". The units of the formula are those of distance, or length, matching selection d. Distance is given by the distance formula (3).
__
c) The form shown is an ordered pair. That is the same as the representation of a coordinate point, selection f. Coordinates of a point are given by the midpoint formula (1).
A pound of apples cost $1.35 a pound of cherries cost $3.62. How much will it cost to by 1.6 pounds of apples and 2.5 pounds of cherries?
Answer:
apples cost a total of 2.16
cherrys cost a total of 9.05
Step-by-step explanation:
1.35*1.6=2.16
3.62*2.5=9.05
Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 4x^2 16y^2
Answer:
The answer is below
Step-by-step explanation:
Find the dimensions of the rectangle of maximum area with sides parallel to the coordinate axes that can be inscribed in the ellipse 4x² + 16y² = 16
Solution:
Given that the ellipse has the equation: 4x² + 16y² = 16
let us make x the subject of the formula, hence:
4x² + 16y² = 16
4x² = 16 - 16y²
Dividing through by 4:
x² = (16 - 16y²)/4
x² = 4 - 4y²
Taking square root of both sides:
[tex]x=\sqrt{4-4y^2 }\\[/tex]
The points of the rectangle vertices is at (x,y), (-x,y), (x,-y), (-x,-y). Hence the rectangle has length and width of 2x and 2y.
The area of a rectangle inscribed inside an ellipse is given by:
Area (A) = 4xy
A = 4xy
[tex]A=4(\sqrt{4-4y^2} )y\\\\A=4y\sqrt{4-4y^2}=4\sqrt{4y^2-4y^4} \\\\The\ maximum\ area\ of\ the\ rectangle\ is\ at\ \frac{dA}{dy}=0\\\\ \frac{dA}{dy}=4(\frac{4-8y^2}{\sqrt{4-4y^2} } )\\\\4(\frac{4-8y^2}{\sqrt{4-4y^2} } )=0\\\\4-8y^2=0\\\\8y^2=4\\\\y^2=1/2\\\\y=\frac{1}{\sqrt{2} }\\\\x=\sqrt{4-4(\frac{1}{\sqrt{2} })^2}=\sqrt{2}[/tex]
Therefore the length = 2x = 2√2, the width = 2y = 2/√2
The two figures are similar. Identify the similar sides, and then write the similarity statement. Fill in each blank, then complete the sentence by explaining your reasoning.
• AB is similar to ____ because:
• AC is similar to ____ because:
• CB is similar to ____ because:
Step 2: Write the similarity statement.
Answer:
- AB is similar to YZ because all the sides from triangle ABC got multiplied by 3/4, and 40 times 3/4 = 30.
- AC is similar to YX because 50 times 3/4 = 37.5.
- CB is similar to XZ because 60 times 3/4 = 45.
hope this helps!
what is 7.42 divded by 1.75
Answer:
4.24
Step-by-step explanation:
the calculator says otherwise (but yea its 4.24
Please answer the geometry question
Answer:
300 feet
Step-by-step explanation:
CAN SOMEONE HELP WALLAHI THIS IS SO HARDDDDDD
Answer:
3[tex]\sqrt{5}[/tex]
13-6=3x-14 whats the value of x
Answer:
x=9
Step-by-step explanation:
13+14=3x
27=3x
27/3=x
9=x
Which system of linear equations appears to have a solution of (3,0)?
Answer:
C
Step-by-step explanation:
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Emma Drew 13 hearts and 20 circles what is the ratio of hearts to all shape
9514 1404 393
Answer:
13 : 33
Step-by-step explanation:
hearts : all shapes = hearts : (hearts + circles) = 13 : (13 +20) = 13 : 33
Verbally describe what each ordered pair in the first row of your table (when s = 10) means in terms of the situation. Use complete sentences in your answer.
The description of what each ordered pair means is; as described below
How to interpret Ordered Pairs?The table is missing but from online sources, we can say the following;
An ordered pair such as (2,4), is a short form of writing two variables, such as x = 2 and y = 4. The order of the numbers in the pair is important because x always comes before y.
An ordered pair is simply a composition of the x coordinate called abscissa while the y coordinate is called the ordinate.
Thus, the Ordered Pair is (x,y)
Where,
x is the distance measure of a point from the primary axis "x"
y is the distance measure of a point from the secondary axis "y"
In the Cartesian plane, the point where the two lines meet at “0” is the origin.
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Translate this phrase into an algebraic expression. 78 less than Amaris test score. Use C to represent Amari's test score PLEASE HURRY!!
Answer:
it's 78<C. < means less than
6n + 13 = 43
a
6
b
-5
c
5
d
-5
Answer:
C) n=5
Step-by-step explanation:
6n+13=43
6n+13-13=43-13
6n=30
6n/6=30/6
n=5
Answer:
Your answer is c
Step-by-step explanation:
Here you go mate
Step 1
6n+13=43 Equation/Question
Step 2
6n+13=43 Simplify
6n+13=43
Step 3
6n+13=43 Subtract 13 from sides
6n=30
Step 4
6n=30 Divide sides by 6
5
Answer
n=5
Hope this helps
144 ÷ a = 16
Find the value of a.
Answer:
9
Step-by-step explanation:
Move the variable to the other side of the equation
144 ÷ 16 = a
9 = a
Check:
144 ÷ a = 16 (Correct)
manda made $270 for 18 hours of work. At the same rate, how many hours would she have to work to make $165?
4. The ratio of the measures of the three angles in a triangle is 7:8:5, what is the
measure of the smallest angle?
Your answer
Step-by-step explanation:
let the angles be ' 7x, 8x and 5x'
as we know, the sum of all the angles of a triangle is 180 degree, so,
7x + 8x + 5x = 180
20 = 180
x = 180/2
x = 90 degrees
7x = 7 × 90 = 630 degree
8x = 8 × 90 = 720 degrees
5x = 5 × 90 = 540 degrees
therefore, 5x is the smallest degrees
I really need help please
Answer:
50°
Step-by-step explanation:
the angles should add up to 180. there is a 90° angle abd a 40° angle which adds up to 130. 180-130 gives you rour missing angle if 50°.
Which ordered pair is on the graph of 7x - y = 2?
whats the GCF for 1248
Answer:
None or 12 depending on what the question is. See explanation below.
Step-by-step explanation:
If the number is 1248:
A single number cannot have a GCF. The GCF has be for at least two numbers.
If the numbers are 12 and 48, then the GCF can be calculated.
Since 12 is a factor of 48, then the GCF of 12 and 48 is 12.
In general, to calculate the GCF do this:
To calculate it, find the prime factors of 12 and 48.
12 = 2^2 * 3
48 = 2^4 * 3
GCF is the product of common factors with lower exponent.
GCF = 2^2 * 3 = 12
Please help me answer this with the correct answer :)
Explain your answer
I will give braisnlt :)
Answer:
Hey
Step-by-step explanation:
Where is the question
Select the correct answer.
Which equation is true for the value b= 10?
O A. 2(b + 4) = 16
OB.
2(b + 2) = 40
OC. 316 - 2) = 24
OD. 2(8 + b) = 42
O E. 3(b - 4) = 20
Answer:
C. 3(b - 2) = 24Step-by-step explanation:
b = 10
Substitute b in every equation below and compare the results
A. 2(b + 4) = 16
2(10 + 4) = 2(14) = 28 ≠ 16, incorrectB. 2(b + 2) = 40
2(10 + 2) = 2(12) = 24 ≠ 40, incorrectC. 3(b - 2) = 24
3(10 - 2) = 3(8) = 24, correctD. 2(8 + b) = 42
2(8 + 10) = 2(18) = 36 ≠ 42, incorrectE. 3(b - 4) = 20
3(10 - 4) = 3(6) = 18 ≠ 20, incorrectAnswer:
C. 3(b - 2) = 24..
please give me the right answer i’ve been having trouble for an hour now
Answer:
B
Step-by-step explanation:
(x+4)(3x^2-7)
multiply and get 3x^3 +12x^2 -7x -28 which is anwser choice b
flocabulary multplying fractions
Answer:
don't know what you need
Step-by-step explanation:
82 - 2x - 10 factor each polynomia
l
PLEASE HELP FOR 20 POINTS, Yesterday, Chang planted 6 trees that were each 8 feet tall in his yard. Chang projects the trees to grow at the following annual rates over the next 5 years. Assume that x represents the amount of years from when Chang planted the trees. Which of the following equations represent the height of each of the trees in 5 years? Select all that apply.
Answer:
Its oka linden
Step-by-step explanation:
Just cause
y = 3.915(1.106)x.
In terms of the water lily population change, the value 3.915 represents:
Answer: the initial number of water lily’s
Step-by-step explanation:
the value 1.106 represents the population increase rate
edge 2021
The value 3.915 represents the initial population of water lilies
Expoenential equationsThe standard exponential equation is given as y = ab^x
where;
a is the initial populationb is the rate (growth or decline)Given the exponential equation y = 3.915(1.106^x
On comparison, we can see that;
a = 3. 915
This shows that the value 3.915 represents the initial population of water lilies
Learn more on exponential equation here: https://brainly.com/question/2456547
Let 3x + 9 = 5x – 3. What is the value of 4x ?
Answer: 24
Step-by-step explanation:
3x + 9 = 5x - 3
9 = 2x - 3
12 = 2x
x = 6
6 * 4 =24
4x = 24
What is the quotient?
-4/5➗2
