Edgy question please help
What is the true solution to the equation below?
2 in en 2x - In en 10x - In 30
x - 30
O x - 75
OX-150
X-300
Answers
Answer:
B
Step-by-step explanation:
Answer:
x=75
Step-by-step explanation:
2 * ln (e ^ ln (2x)) - ln (e ^ ln (10x)) = ln (30)
Apply exponent rules
2 * ln (2x) - ln (10x) = ln (30)
Apply log rules
2 * ln (2x) - ln (10x) = ln (30)
Apply log rule: logc(ab) = logc(a) +logc (b)
Apply exponent rules
2 * ln (2x) - ln (10x) = ln (30)
Apply log rules
2 * ln (2x) - ln (10x) = ln (30)
Apply log rule: logc(ab) = logc(a) + logc (b)
ln (2x) = ln (2) + ln (2)
2(ln (2) + ln (x)) - ln (10x) = ln (30)
Apply log rule: logc(ab) = logc(a) + logc (b)
ln (10x) = ln (10) + ln (x)
ln (2x) = ln (2) + ln (2)
2(ln (2) + ln (x)) - ln (10x) = ln (30)
Apply log rule: logc(ab) = logc(a) + logc (b)
ln (10x) = ln (10) + ln (x)
Apply log rule: logc(ab) = logc(a) + logc (b)
ln (10x) = ln (10) + ln (x)
2(ln(2)+ln(x))-(ln(10)+ln(x))=]
Expand 2(ln(2) +ln(x)
ln (x) + 2 * ln (2) - ln (10) = ln (30)
Subtract 2 * ln (2) - ln (10) from both sides
In(x) + 2ln(2) - In(10) - (2ln(2) - In
Simplify
ln (x) = ln (30) - 2 * ln (2) + ln (10)
Simplifify ln (30) - 2 * ln (2) + ln 10
ln (x) = ln (75)
Apply log rule: If logb(f(x)) = logb (g(x)) then f(x) = g(x)
x = 75
Verify Solutions: X = 75
Check the solutions by plugging them
into 2 * ln (2x) - ln (10x) = ln (30) Remove the ones that don't agree with the equation.
Plug in x =75
2 * ln (2 * 75) - ln (10 * 75) = ln (30)
2 * ln (2 * 75) - ln (10 * 75) = ln (30)
ln (30) = ln (30)
True
Related Questions
If sin 1/3, what are of the values of cos 0 and tan 0?
Answers
Answer:
B
Step-by-step explanation:
SohCahToa
Sin opposite/hypotenuse
Cos adjacent/hypotenuse
Tan opposite/adjacent
so if sin is 1/3 the opposite is 1 and the hypotenuse is 3
to find cos do a^2+b^2=c^2
1^2 + x^2 = 3^2
1+x^2=9
subtract 1 from both sides
x^2=8
do the square root x=2 sq root 2
that leaves u with
opposite is 1
hypotenuse is 3
adjacent is 2 sq rt 2
cos= 2 sqrt 2 / 3
tan= 1 / 2 sq rt 2 which is also eqal to sq rt 2 / 4
B
In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 9 boys and 9 girls are competing, how many different ways could the six medals possibly be given out?
Answers
Answer:
the six medals possibly be given out by three medals for girl and three medals for boy
Please help!!
Find the value of x
A. 12
B. 6
C. 10
Answers
Answer:
x = 12
Step-by-step explanation:
Let's find the measure of major arc MNB:
360 - arc MB = major arc MNB
Now, let's plug in what we know:
360 - (80 + 60) = major arc MNB
Next, combine like terms, and replace "major arc MNB" with "x."
360 - 140 = x
220 = x
Now, we know that the measure of major arc MNB equals 220 degrees.
Angle MLB is going to be double the measure of major arc MNB, so let's set up an equation for this situation:
2(Angle MLB) = major arc MNB
Now, let's plug in what we know:
2(9x + 2) = 220
Finally, let's solve for x:
18x + 4 = 220
18x = 216
x = 12
Determine whether each of the following sequences are arithmetic, geometric or neither. If arithmetic, state the common difference. If geometric, state the common ratio.
4, 13/3, 14/3, 5, 16/3, …
Is the answer: Neither?
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's see if the sequence is Arithmetic or Geometric :} [/tex]
[tex] \textsf{If the difference between successive terms is } [/tex] [tex] \textsf{equal then, the terms are in AP} [/tex]
[tex] \sf{ \dfrac{14}{3}- \dfrac{13}{3} = \dfrac{1}{3}} [/tex][tex] \sf{ {5}{}- \dfrac{14}{3} = \dfrac{15-14}{3} =\dfrac{1}{3}} [/tex][tex] \textsf{Since the common difference is same, } [/tex] [tex] \textsf{we can infer that it's an Arithmetic progression} [/tex] [tex] \textsf{with common difference of } \sf \dfrac{1}{3} [/tex]
Answer:
Arithmetic with common difference of [tex]\sf \frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\textsf{Given sequence}=4, \dfrac{13}{3}, \dfrac{14}{3}, 5, \dfrac{16}{3},...[/tex]
If a sequence is arithmetic, the difference between consecutive terms is the same (this is called the common difference).
If a sequence is geometric, the ratio between consecutive terms is the same (this is called the common ratio).
[tex]\sf 4\quad \overset{+\frac{1}{3}}{\longrightarrow}\quad\dfrac{13}{3}\quad \overset{+\frac{1}{3}}{\longrightarrow}\quad \dfrac{14}{3}\quad \overset{+\frac{1}{3}}{\longrightarrow}\quad 5\quad \overset{+\frac{1}{3}}{\longrightarrow}\quad \dfrac{16}{3}[/tex]
As the difference between consecutive terms is [tex]\sf \frac{1}{3}[/tex] then the sequence is arithmetic with common difference of [tex]\sf \frac{1}{3}[/tex]
General form of an arithmetic sequence: [tex]\sf a_n=a+(n-1)d[/tex]
where:
[tex]\sf a_n[/tex] is the nth terma is the first termd is the common difference between termsGiven:
a = 4[tex]\sf d=\dfrac{1}{3}[/tex]So the formula for the nth term of this sequence is:
[tex]\implies \sf a_n=4+(n-1)\dfrac{1}{3}[/tex]
[tex]\implies \sf a_n=\dfrac{1}{3}n+\dfrac{11}{3}[/tex]
Last year, jess saw x dramas and y comedies at the movie theater. if she went to the theater no more than 8 times, which inequality best represents the number of movies she saw? x y < 8 x y > 8 x y ≤ 8 x y ≥ 8
Answers
Assuming she went to the theater no more than 8 times. The inequality best represents the number of movies she saw is: x + y ≤ 8.
InequalityThe inequality that represent the number of movies is: x + y ≤ 8
Where:
x represent drama at the movie theater
y represnt comedies at the movie theater
≤ represent less than
8=Number of times
Therefore the inequality is: x + y ≤ 8.
Learn more about inequality here:https://brainly.com/question/24372553
Answer:
c on edge
Step-by-step explanation:
because i took the test and got a 100
Find the surface area of the cone in terms of pi. 15cm 3cm
Answers
54pi or 172.45
Explanation :
check out my attached work
Hope it helps, let me know if you have any questions !
Have a nice rest of your day :)
5- G F -5- Triangle EFG is reflected across the y axis, and then reflected across the x axis. The coordinates of point G before the reflections are (-3.4).
Need a little help!
Answers
Answer:
(3,-4)
Step-by-step explanation:
QI=(+,+)
QII=(-,+)
QIII=(-,-)
QIV=(+,-)
Answer:
(3,-4)
Step-by-step explanation:
you are roating the triangle down (across the y-axis) and then moving to the right (across the x-axis). I hope this helps!
A bakery sold a total of 400 cupcakes in a day, and 184 of them were vanilla flavored. What percentage of cupcakes sold that day were vanilla flavored?
Answers
Answer:
46%
Step-by-step explanation:
184/400=vanilla
184/400=46/100=46%
hope this helps
please answer it correctly
Answers
Answer:
40 degrees
Step-by-step explanation:
if the lines are perpendicular, then they are also sharing the same line so that means, its a simple equation of 180-140=40.
Answer:
The value of angle 2 = 40°
Step-by-step explanation:
Given : angle 1 = 140°
angle 1 + angle 2 = 180° { because they are linear pair }
=> 140 + angle 2 = 180°
=> angle 2 = 180 - 140
=> angle 2 = 40°
Help, question is in the image.
Answers
Answer:
the answers are 0.2, 12/50, -40, -6.44
In ΔFGH, = 440 inches, = 990 inches and ∠G=164°. Find the length of , .
Answers
Answer:
1418 ( Hope this helps! )
Step-by-step explanation:
g= 440+990-2(440)(990) cos 164
g=193600+980100-2
g=193600+980100+837451.1895
g= 2011151.1895 Square root and round
Find the area of the triangle at the right. Round to the nearest tenth as needed.
Answers
Answer:
A ≈ 62.3 ft²
Step-by-step explanation:
the area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] product of 2 sides × angle between them , that is
A = 0.5 × 18 × 11.5 × sin37°
= 103.5 × sin37°
≈ 62.3 ft² ( to the nearest tenth )
I’ll markbrainluest A local water park has two types of season passes. Plan A costs a one-time fee of $140 for admission plus $8
for parking every trip. Plan B costs a one-time fee of $50 for parking plus $23 for admission every trip. How
many visits must a person make for plan A and plan B to be equal in value?
Answers
Answer:
6
Step-by-step explanation:
140+8X=50+23X
8X-23X=50-140
-15X=-90
X=-90/-15
X=6 TRIPS IS THE ANSWER.
PROOF:
140+8*6=50+23*6
140+48=50+138
188=188
To obtain an average (arithmetic mean) of exactly 2/3, what fraction must be added to 1/6, 1/2, and 1/3?
A. 2/3
B. 1/1
C. 3/2
D. 5/3
Answers
Answer:
D. 5/3
Step-by-step explanation:
[tex]\frac{1/6+1/2+1/3+x}{4} =2/3[/tex]
[tex]1/6+1/2+1/3+x=8/3[/tex]
[tex]x=8/3-1/6-1/2-1/3[/tex]
[tex]x=8/3-1/6-3/6-2/6[/tex]
[tex]x=8/3-6/6[/tex]
[tex]x=16/6-6/6=10/6[/tex]
simplified
[tex]x=5/3[/tex]
Hope this helps
Mei runs the same distance 6 days each week. In 4 weeks, she runs 151.68 miles. How many miles does Mei run each day?
Answers
Answer: 6.32
Step-by-step explanation: 6 days a week in 4weeks Is 24days
Divide the total distance by 24
can anyone help me???
Answers
Answer:
6
Step-by-step explanation:
3 3/4 = 15 / 4 = 105 / 28
2 7/28 = 63/28
105/68 + 63/28 = (105 + 63) / 28 = 168/28 = 6
[tex]3 \frac{3}{4 } + 2 \frac{7}{28} [/tex]
to find:the simplest form.
solution:[tex] \frac{15}{4} + \frac{9}{4} [/tex]
[tex] = \frac{(15 \times 4) + (9 \times 4)}{4 \times 4} [/tex]
[tex] = \frac{60 + 36}{16} [/tex]
[tex] = \frac{96}{16} [/tex]
[tex] = 6[/tex]
therefore the correct answer is option C.
simplify the expression -6(3x-4)
Answers
Answer:
-18x + 36 for the -6(3x-4) and 12x - 20 for the one on the image.
Step-by-step explanation:
You have 2 questions so I'll answer both of them (One written and the image as well)
-6 (3x-4)
You need to multiply -6 by 3x and -4
-18x + 36 Is the simplified version
**Remember that when multiplying two negatives they turn into a positive.
-2x (-6 + 10)
You need to multiply -2x by -6 and 10
12x - 20
Please solve and show your work
SA=π(9)²+π9*19
* is how I do the multiplication symbol btw
Answers
Answer:
791.28
Step-by-step explanation:
1. 3.14*9²=254.34
2. 3.14*9*19=536.94
3. 536.94+254.34=791.28
Convert 389.1 L to mL
Answers
PLSSS HELP IF YOU TURLY KNOW THISS
Answers
3*2/3=2
There are 3 Red marbles 4 blue marbles and 6 green marbles find the probability you chose a red marble
Answers
Probability of picking red = number of red / total marbles.
probability = 3/13
Can someone please help me im kinda confused
Answers
explanation: the equation of the snack shop is y=1.25x while for the sports field it is y=1.30x
1.25 < 1.30
Answer:
The Snack Shop
Step-by-step explanation:
The equation given, y=1.25x means this store sells a bar of granola for $1.25.
The other store sells their granola bar for $1.30.
1.25 is less than 1.30.
Hence, the snack shop sells their granola bars for a lower price.
What is the most direct use of a conpass in geometric constructions?
Answers
TO MAKE ANGLE THAT ARE NEEDED IN CONSTUCTION
An appropriate statistical tool for accounting for sampling error in an estimate is A. A scatter chart B. A frequency distribution C. A confidence interval D. A standardized score E. All of the above F. None of the above
Answers
The statistical tool for accounting for sampling error in an estimate is confidence interval.
What is sampling?The term sampling has to do with the selection of a given number of participants from the population in susch a way that reflects the population of the entire population.
Sampling is usually prone to given degree of error. The statistical tool for accounting for sampling error in an estimate is confidence interval.
Learn more about sampling: https://brainly.com/question/11045407
#SPJ1
Find the value of the trigonometric ratio. Express your answer as a fraction in lowest terms.
Answers
Answer:
12/13
Step-by-step explanation:
We know that cosine is the adjacent side divided by the hypotenuse in a right triangle.
The adjacent side to angle C is BC
The hypotenuse is AC because it is opposite to the right angle
So...
cosine is (BC)/(AC)
36/39
12/13
Write the equation of a quadratic function for which the graph opens in the same direction as the graph of y = x ^ 2 , is wider than the graph of y = x ^ 2 and is shifted up compared to the graph of y = x ^ 2
Answers
Answer:
(1/8)x^2 +3
Step-by-step explanation:
in order to widen the quadratic functions you just need to make the coefficient of x^2 less than 1. and to shift the graph upwards you need to add a positive constant at the end like +2.
answer:
(1/8)x^2 +3
A circle has a central angle measuring startfraction 7 pi over 6 endfraction radians that intersects an arc of length 18 cm. what is the length of the radius of the circle? round your answer to the nearest tenth. use 3.14 for pi. 3.7 cm 4.9 cm 14.3 cm 15.4 cm
Answers
The length of the radius of the circle with a central angle measuring 7pi/6 is 4.9cm
How to calculate the length of aan arc?The formula for calculating the legnth of an arc is expressed as:
L = rtheta
r is the radius
Theta is the subtended angle
Given the following
18 = r(7pi/6)
7pi r = 18 * 6
7pi r = 108
r = 108/7pi
r = 4.9cm
Hence the length of the radius of the circle with a central angle measuring 7pi/6 is 4.9cm
Learn more on length of an arc here: https://brainly.com/question/2005046
Answer:
B or 4.9cm
Step-by-step explanation:
Hillsdale Orchard's owners decide to plant 30 new Gala apple trees. Complete the ratio table to find the number of new Fuji apple trees the owner should plant if they want to maintain the same ratio of Fuji apple trees to Gala apple trees.
Ratio table
Fuji apple trees | __ __ 160
Gala apple trees | 30 __ 120
Please fill in the blank spaces in the table
Answers
Hillsdale Orchard's owners decide to plant 30 new Gala apple trees, he needs to pllat 40 new fuji trees so as to maintain the same ratio of Fuji apple trees to Gala apple trees.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the table:
Ratio of Fuji apple trees to Gala apple trees = 160 / 120 = 4/3
Hence, for 30 new galla trees, number of Fuji trees is:
Fuji trees = (4/3) * 30 = 40
Hillsdale Orchard's owners decide to plant 30 new Gala apple trees, he needs to pllat 40 new fuji trees so as to maintain the same ratio of Fuji apple trees to Gala apple trees.
Find out more on equation at: https://brainly.com/question/1214333
I need help if anyone minds helping me
Answers
What is the surface of the prism?
Answers
Given :-
Length :- 8mWidth :- 10Height :- 10mTo find :-
Surface areaSolution :-
formula for Surface Area = 2(LW + WH + HL)
putting the known values,Surface Area = 2(8×10 + 10×10 + 10×8) m²
Surface Area = 2(260) m²
Surface Area = 520m² ( Option C)