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).
Learn more about Logarithmic function here
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Last night you went to a restaurant, and the bill for 3 adult meals and 2 children’s meals was £73.
Last week you went to the same restaurant and paid £89 for 2 adult meals and 5 children’s meals.
Let a = cost of an adult meal,
and c = cost of a child meal.
A) Form an equation for last night’s meal
? = ?
B) Form an equation for last week's meal
? = ?
Answer: 3a + 2c = 73 (last night)
2a + 5c = 89 (last week)
Step-by-step explanation:
PLEASE I NEED IT ASAP
find the value of t if t - 7 = 12
Answer:
19
Step-by-step explanation:
t-7=12
or,t=12+7
or,t=19
Define altitude in a geometric way. (in geometry)
the volume of a rectangular prism is 72 cubic centimeters. the prism is 2 centimeters wide and 4 centimeters high.
Answer:
9 cm
Step-by-step explanation:
Answer:
it is 9 cm because 9 x 8 is 72
Step-by-step explanation:
(05.05) On a coordinate plane the coordinates of vertices R and T for a polygon are R(-7, 3) and T(3,3). What is the length of Side RT of the polygon?
4 units
6 unts
10 units
15 units
PLEASE HELP!!
Answer:
c) 10 units
The length of side RT of the polygon RT = 10
Step-by-step explanation:
Step(i):-
Given the coordinates of vertices R and T
R( -7 ,3) and T (3 ,3)
we have to find the length of side RT
We will use distance formula
RT = [tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]
Step(ii):-
RT [tex]= \sqrt{(3-3)^{2} +(3-(-7))^{2} }[/tex]
[tex]RT = \sqrt{0+(10)^{2} }[/tex]
RT = √100
RT = 10
The length of side RT of the polygon RT = 10
Suki is making lemonade to bring to the beach. She has two containers. One holſis one gallon and the other
holds 6 quarts. If she fills both containers, how many cups of lemonađe will she have?
She will have
cups of lemonade.
Answer:
40 cups of lemonade
Step-by-step explanation:
you turn the 1 gallon in to quarts(qt) which would give you 4qt and you add that to the 6qt to get 10qt of lemonade then you turn that in to cups to get 40 cups
A simple random sample of size n is defined to be a sample of size n chosen in such a way that every unit in the population has the same chance of being selected. a sample of size , n, chosen in such a way that every unit in the population has the same chance of being selected. a sample of size n chosen in such a way that every unit in the population has a known nonzero chance of being selected. a sample of size , n, chosen in such a way that every unit in the population has a known nonzero chance of being selected. a sample of size n chosen in such a way that every set of n units in the population has an equal chance to be the sample actually selected. a sample of size , n, chosen in such a way that every set of , n, units in the population has an equal chance to be the sample actually selected. a sample of size n chosen in such a way that each selection is made independent of every other selection. a sample of size , n, chosen in such a way that each selection is made independent of every other selection. all of the above. They are essentially identical definitions. all of the above. They are essentially identical definitions.
Answer: a sample of size n chosen in such a way that every unit in the population has the same chance of being selected
Step-by-step explanation:
A simple random sampling technique represents the most basic Sample representation or selection method with very less bias and it makes affords all observations an equal chance or probability of being a part of the selected sample. Hence, samples selected using this technique are regarded as being representative of the population or larger sample from which the sample was drawn. This is because sampling bias in a simple random variable is extremely minimal.
Can someone please help me answer this!!!
Answer:
32 to 40 minutes
Step-by-step explanation:
what is the measure of the angle?
5
a 53.1°
b. 36.9°
C. 30.10
d. 590
Answer:
a
Step-by-step explanation:
Which of the following statements can be assumed from the diagram?
Answer:
the last answer choice is one of them for sure.
Step-by-step explanation:
Line A and F intersects line BC
The Jordan's Michael wanted were on sale for 20% off. The original price of the sneakers is $185.00. How much is the sale? Show your work
The price will be $148. $185 - 20% =$148.
Solve the Equation
P + 75 = 100.
Answer:
P= 25 so
25+75= 100
Step-by-step explanation:
100-75
Answer:
P=25
Step-by-step explanation:
P+75=100
-75 -75
_________
P=25
Kara sells bracelets for $5 each. She represents the price of x bracelets with the expression 5 x. Which expression represents another way Kara could determine the price of x bracelets?
a: x 10/2
b: x+5
c:(x divided by 5) times 5
d: (x divided by 2 ) times 10
Answer:
C. x divided by 5 times 5
Answer: A
Step-by-step explanation: X is a variable is does not actually have a value also because 10/2 =5 and that's the same as x 5 or 5 x
find the average rate of change over the interval [-1,2] (from x = -1 to x = 2) for the graph below
What is the coordinate where x=-1 ?
What is the coordinate where x=2?
What is the rate of change between those two points?
Hello!
Find the coordinate where x = -1:
At x = -1, y = 1, so the coordinate is (-1, 1).
Find the coordinate where x = 2:
At x = 2, y = -2, so the coordinate is (2, -2).
Find the rate of change between the points using the slope formula:
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Plug in the coordinates above:
[tex]slope = \frac{-2-1}{2-(-1)}[/tex]
Simplify:
[tex]slope = \frac{-3}{3} = -1[/tex]
Thus, the rate of change between the points is -1.
Two students drive separate cars.
• Student 1 begins driving 90 minutes before student 2.
• Student 1 drives at a speed of 48 miles per hour.
• Student 2 drives at a speed of 64 miles per hour.
For how many hours has student 1 been driving when both students have driven exactly the same distance?
O 1 hour 30 minutes
3 hours 0 minutes
6 hours 0 minutes
7 hours 30 minutes
Student take 7hours30 mins to drive.
10 MINUTES UNTIL I HAVE TO TURN TEST IN
HELP PLS :)
Answer:
10) Total Discount = $15 dollars; New Amount = $60 dollars.
11) Total Markup = $3,750 dollars; New Amount = $28,750 dollars.
12a) Percent Increase from $100 to $150: 50% increase.
12b) Percent Decrease from $150 to $100: 33.33% decrease.
Step-by-step explanation:
I would be more than happy to show my work, but I see that you have to submit your test soon, so I will just leave it at this for now. If you need any clarification, I am more than happy to help. Feel free to give me Brainliest if you feel this helped! Have a good day, and good luck on your test. :)
Which of the following equations can be used to find three consecutive odd integers whose sum is 147?
n+n+1+n+3=147
n+n+1+n+2=147
n+n+n=147
n+n+2+n+4=147
Answer:
It’s the last one
Step-by-step explanation:
Plz mark me brainliest
Please someone help?
Answer:
C
Step-by-step explanation:
C is congruent to A
which expression is equilvalent to (5g-2h)-(3h+8-4g). RIGHT ANSWER GETS 13 POINTS AND BRAINLIST
Answer:
4(2h + g)
4h + 4h +3g + g
2(4h + 2g)
- 6х + Зу = 15 solve for y?
Step-by-step explanation:
[tex] - 6x + 3y = 15 [/tex]
[tex]3y = 15 + 6x[/tex]
[tex]y = \frac{15 + 6x}{3} \\ [/tex]
[tex]y = 5 + 2x[/tex]
Solve using equivalent ratios.
Leila and Jo are two partners in a business. Leila makes $7 in profits for every $8 that Jo makes. If their
total profit on the first item sold is $120, how much profit does Leila make?
Leila will make $ [ in profits.
Answer: 1010$
Step-by-step explanation:
Pls help me ASAP I’ll brainlest for the right answer
Answer:
I would say the answer is 13.5
Step-by-step explanation:
Times 7.5 (hours) and $1.80 (dollars).
The reason why this works:
It is $1.80 per hour so if you multiply it by 7.5 the amount of hours that would make it so you'd get the answer $13.5
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
Mr. Johnson buys 50 pencils and gives 30 of them to his students.
Which percent of the pencils did he give to his students?
A
16%
B
20%
С
60%
D
80%
1
2.
3
4
Answer:
c
Step-by-step explanation:
how we represent decimal number into hexadecimal
9514 1404 393
Explanation:
In base 10, the digits we use to represent numbers are 0 to 9. Each location in a base-10 number has a place-value. That is, the value of the digit is dependent upon its place in the number.
Any number in base 10 can be written in expanded form like this:
8765.432
= 8·10³ +7·10² +6·10¹ +5·10⁰ +4·10⁻¹ +3·10⁻² +2·10⁻³
We hope you recognize that in this form, the place value of a digit is a power of the base, and that those powers increase to the left and decrease to the right. The "units" place has a power of 0.
__
Hexadecimal works the same way. In that base-16 number system, the digits 0-9 and A-F are used. The corresponding decimal values are ...
A = 10, B = 11, C = 12, D = 13, E = 14, F = 15
As above, an expanded hexadecimal number would use powers of the number system base:
A73B.16E
= 10·16³ +7·16² +3·16¹ +11·16⁰ +1·16⁻¹ +6·16⁻² +14·16⁻³ . . . (all numbers decimal)
_____
The method of converting a number from hexadecimal is generally to evaluate the expanded form, as just shown. (The base-10 value of the number shown is 42,811.08935546875.)
There are a number of methods for converting numbers to hexadecimal. For integers, one can work right to left, with each successive digit of the hex number being the remainder from division by 16. The quotient is then used for developing further digits to the left.
Example:
9243/16 = 577 11/16
577/16 = 36 1/16
36/16 = 2 4/16
9243₁₀ = 241B₁₆
In the above, we have identified the base of the numbers being used with a subscript. If the base is understood, that is unnecessary. (However, it is useful in ambiguous cases.)
__
Some calculators have modes for converting and/or calculating with hexadecimal integers. They are generally limited to 48 bits (12 hex digits) or less. I have not seen any that convert or calculate fractions in non-decimal bases. There may be apps or web products that will do fraction conversion—generally for the purpose of showing you the IEEE-754 representation used internally by digital computers.
Abdul earns $13.00 in interest each month for six months. How much interest will Abdul have earned at the end of six months?
answer:
78
-- please mark the brainliest and click the thanks button if correct :)
Answer:
$78
Step-by-step explanation:
13 * 6 is 78
I hope that helps broski
d) Did you have to make an exchange?
Rosie had 56 pencils to share between 4 pots
Answer:
Your answer is 14
Step-by-step explanation
56÷4=14
Will make you brainlistt if it is right
Answer:
The amount of weeks is your independent variable, or X variable, and the height is you dependents variable.
Step-by-step explanation:
I don't know what this question is about so I'm gonna use plants as an example. The amounts of weeks that you are growing a plant is not dependent on anything. Nothing can cause change to that variable, so it would be your X. The height that your plant has grown DOES depend on how long you've grown it, so the amount of weeks, making it your Y variable.
Complete the following proof.
Given: Points R, S, T,Q on circle o
Prove: mRS + mST + mTQ
=
mRQ
Answer:
Step-by-step explanation:
I'll try
arc = angles of radii endpoints.
angle ROS=arc RS
angle SOT=arc ST
angle TOQ=arc TQ
angles ROS + SOT + TOQ =angle ROQ
angle ROQ=arc RQ
I belive the answer is arc = angles of radii endpoints.
angle ROS=arc RS
angle SOT=arc ST
angle TOQ=arc TQ
angles ROS + SOT + TOQ =angle ROQ
angle ROQ=arc RQ
64 people ordered a veggie burger at a local hamburger stand out of 160 people in an hour. What percentage of the customers ordered a veggie burger ?
A 40%
B 60%
C 64%
Answer:
A
Step-by-step explanation: