Answer:
x=2 is the true solution.
Step-by-step explanation:
We have been given the expression:
2\ln 4x=2\ln 8
Using:
n\ln m=\ln m^n
Our given expression becomes:
\ln{4x}^2=\ln{8^2}
Cancel ln from both sides we get:
4x^2=8^2
On simplification we get:
16x^2=64
x^2=4
Final simplification gives the result:
x=2
Answer:
x = 8
Step-by-step explanation:
2 In x=2 ln 8
Divide by 2
ln x = ln 8
Raise to the e base
e^ ln x = e^ ln 8
x = 8
A monkey is swinging from a tree. On each swing, she travels along an arc that is
75%, percent as long as the previous swing's arc. The total length of the arcs from her first 4 swings is 175m.How long was the monkey's 1st swing?
Round your final answer to the nearest meter.
Answer:
Total length of the first swing=64 m
Step-by-step explanation:
The total length of all four swings can be expressed as; Total length of all 4 swings=Length of first swing+length of second swing+length of third swing+length of fourth swing
where;
Total length of all 4 swings=175 m
Length of first swing=x
Length of second swing=75% of length of first swing=(75/100)×x=0.75 x
Length of third swing=75% of length of second swing
Length of third swing=(75/100)×0.75 x=0.5625 x
Length of fourth swing=75% of length of third swing
Length of fourth swing=(75/100)×0.5625 x=0.421875 x
replacing;
Total length of all 4 swings
175=x+0.75 x+0.5625 x+0.421875 x
2.734375 x=175
x=175/2.734375
x=64
Total length of the first swing=x=64 m
Simplify:
a) 6c + 4d - c - 7d =
b) 3x + 5y - x + 2y =
c) 3g + 5h + 4g - 2h =
d) 8t + 3r - 7t - 9r =
Answer:
a) 5c-3d
b) 2x+7y
c) 7g+3h
d) 1t-6r
hope this helps ;)
Answer:
a) 6c + 4d - c - 7d = 5c -3d
b) 3x + 5y - x + 2y = 2x + 7y
c) 3g + 5h + 4g - 2h = 7g + 3h
d) 8t + 3r - 7t - 9r = t - 6r
Step-by-step explanation:
combine like terms:
a) 6c + 4d - c - 7d = 5c -3d
b) 3x + 5y - x + 2y = 2x + 7y
c) 3g + 5h + 4g - 2h = 7g + 3h
d) 8t + 3r - 7t - 9r = t - 6r
Lily wants to buy a new smartphone. She has $500 to spend. List three ways she can get a good deal.
Answer:
get a coupon find a cheap on or steal it or get a discountAnswer:
She could use coupon deals, she could research what stores have it cheapest, see what deals online has
Another khan academy question
First off, notice that this is a right triangle.
You can use this to help write equation.
Equation : x+ (4x-85)=90. The correct answer is "c"
What type of skew does this graph have?
Answer:
Negative skew; skewed right.
Step-by-step explanation:
It is a negative skew, because the peak of the graph is located towards the left (5- 9, respectively). The skewed is on the right, for the tail stretches out to the right of the graph (10-14 all the way to 25 - 29, respectively).
~
Find the length of the base of the following pyramid, given the height of the pyramid is 221 meters and the angle of elevation of the base of the pyramid is 62°. Round to the nearest whole number.
An image of a square pyramid is shown with a right triangle embedded inside it. The face is at an incline of 62 degrees. The height is labeled 211, and the corner of the right angle is marked with a letter P.
75 meters
189 meters
235 meters
416 meters
Answer:I believe it would be answer choice, 235 meters
Step-by-step explanation:
I’m not super good at explain but, the height and incline both go at the right slope when they interact. Have a good day, hope it helps.
The length of the pyramid's base would be:
C). 235 meters
Find the length of the baseGiven that,
Height of the pyramid [tex]= 221[/tex]
Elevation/angle of the base [tex]= 62[/tex]°
Employing the trigonometric function,
Tan 62 [tex]= 221/[1/2 base][/tex]
⇒ Base [tex]= (2[/tex] × [tex]221)[/tex][tex]/Tan[/tex][tex]62[/tex]
[tex]= 2[/tex] × 221/[tex]1.88[/tex]
[tex]= 235.10[/tex]
Thus, option C is the correct answer.
Learn more about "Angle" here:
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Four candidates participated in a school election Bianca received 1/5 of the votes, Chelsea received 0.26 of the votes, Darell received 25% of
the votes, and Francisco received the rest of the votes. What percent of the votes did Francisco receive?
A 29% B 31% C 33% D 35%
Answer:
A - 29%
Step-by-step explanation:
Bianca's 1/5 would be converted to 20%
Chelsea's .26 would be 26%
Darnell's is 25%
Adding these together you get 71. To find the remaining votes that Francisco received you would..
Subtract
100 - 71 = 29%
Therefor, your answer is A.
If Darell earned 25% of the vote and Francisco received the remaining votes, Chelsea would have garnered 0.26 percent of the vote. 29% of the votes were cast in favor of Francisco. Option A is correct.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
Given that there were four candidates running for office in the school election, Bianca won 1/5 of the vote, Chelsea got 0.26, Darell got 25%, and Francisco got the remaining votes.
Bianca's 1/5 would be converted to 20% and Chelsea's .26 would be 26%, Darnell's is 25%
Adding these together you get 71. To find the remaining votes that Francisco received you would be applying the subtraction operations,
100 - 71 = 29%
Thus, if Darell earned 25% of the vote and Francisco received the remaining votes, Chelsea would have garnered 0.26 percent of the vote. 29% of the votes were cast in favor of Francisco. Option A is correct.
Learn more about the percentage here:
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find the output, y, when the input, x, is -5.
Answer:
y = -2
Step-by-step explanation:
When x = -5
Go to the blue line
y = -2
Answer:
There are 2 questions with the same question but with a different graph.
This graphs answer is -2.
But the other graph that people are confused about is 7.
Step-by-step explanation:
Hope this helps! :)
Ms. Sanders put $5,200 in a savings account that pays 4.2% simple interest. Each year she withdraws the interest and treats herself to a visit to a spa. How much can she spend each year?
Answer:
$218.40
Step-by-step explanation:
i=prt
i=(5200)(.042)(1)
Zayne has a bag filled with coins. The bag contains 7 quarters, 8 dimes, 3 nickels, and 9 pennies. He randomly chooses a coins from the bag. What is the probability that Zayne chooses a quarter or a nickel?
Answer:
Q=7/27 N=1/9 which is 10/27
Step-by-step explanation:
you add all the coins together
then if it is quarter then it is 7/27
if it is a nickel then it is 3/27 = 1/9
Help please will give brainly! Clara’s friend Brian decides to find his median as well. Find the median and type it in the answer box. What does the median show us?
Answer:
The median is 88. The median shows that Brian gets on average 88% on his tests.
Step-by-step explanation:
If you put the numbers in order and get the average of the two middle number, it is 88.
giving a lot of pts. Which expression is equivalent to 7(a+2) when a=6
7(6)
9(6)
7(6+2)
7(6+14)
Answer:
9(6)
Step-by-step explanation:
i just took the test and yea!!!!!!!!
Answer:
D. 7(6)+4
Step-by-step explanation:
I tried the answer above me but it was wrong that's why I got 90/100
but here is the REAL ANSWER
You are wakeboarding on a river. You travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to a dock. The boat travels x miles per hour during the entire trip, and the river current is 3 miles per hour.
How long will the trip take when then speed of the boat is 18 miles per hour? Round to the nearest tenth minute.
Answer:
17.3
Step-by-step explanation:
(2+18)=(20mph*2miles)=6 minute
(18-2)=16mph*3miles=11.25
17.25
The price of a car is £15400 before it is reduced by 8%.
How much does it cost after the reduction?
Answer:
14168
Step-by-step explanation:
15400 / 100 x 8 = 1232
1232 = 8%
15400 - 1232 = 14168
If you have a cube with a side length of ¼, how many cubes can fit into your rectangular prism? Explain.
Answer:
Step-by-step explanation:
No of cubes that can fit into rectangular prism = Volume of rectangular prism
Volume of cube
Find the volume of rectangular prism and divide that by the volume of cube
Which point is the centroid of the triangle?
Question 5 options:
A)
D
B)
G
C)
F
D)
C
Answer:
The answer is B) G
Step-by-step explanation:
G is at the center of the triangle. It is a centroid because it is where all the medians meet.
There are 30 marbles in a bag. You randomly choose 20 marbles from the bag. The results are shown in the table. Predict the total number of red marbles.
Color
Blue 6
Red 12
Yellow 2
There are about how many red marbles?
Answer:
12 because if you add 6 and 12
Step-by-step explanation:
hope it helps uou !!
Answer:
It's 12
Step-by-step explanation:
hope it helps you !!
233 is equal to r more than 48?
Answer:
R = 152
Step-by-step explanation:
what i did was if it is talking about more than 48 something plus 48 is 200 so
200 - 48 = 152
r = 152
so 200 is 152 more than 48
Hope this helpsBrainliest plzAsk any more math questions if you wantThe price of a gallon of milk, in dollars, is measured in the
Answer:ones
Step-by-step explanation:
The angular velocity of a fan blade is 6.2 radians per second.
Approximately how many revolutions does the fan blade make in 1.6 minutes?
Enter your answer, rounded to the nearest tenth of a revolution
Answer:
94.7 revolutions
Step-by-step explanation:
In the question above, we are given the following values for the fan
Angular velocity = 6.2 radians per seconds
Time = 1.6 minutes.
Step 1
We would convert the time given to seconds
1 minute = 60 seconds
1.6 minutes = ?
We cross multiply
1.6 minutes × 60 seconds
= 96 seconds
Step 2
Number of revolutions made by the fan is calculated as :
Angular velocity(rad/s)
× time(seconds)
Number of revolutions = 6.2 radians per seconds × 96 seconds
=595.2 radians
Converting from radians to revolution
1 radian = 0.159155 revolutions
595.2 radians =
Cross multiply
= 595.2 radians × 0.159155 revolutions
= 94.729056 revolutions.
Approximately to the nearest tenth = 94.7 revolutions.
Therefore, the number of revolutions the fan blade makes in 1.6 minutes is 94.7 revolutions.
1.6 minutes is 1.6 x 60 = 96 seconds.
Its angular velocity is 6.2 radians per second: 6.2 radians/second x 96 seconds = 595.2 radians.
One revolution of the fan is one circumference of the fan, which is 2pi radians.
Dividing 595.2 radians by 2pi radians gives us an answer of 94.7 revolutions.
PLEASE HELP FAST
Which transformation preserves size and shape. Choose ALL correct answers
A) Dilations
B) Rotations
C) Translations
D) Reflections
Question 2
Which transformations preserve orientation?
A) Translations
B) Rotations
C) Reflections
D) Dilations
Answer:
A) Dilation C)Reflections or B) Rotations
Step-by-step explanation:
3~ Please help. What is m∠BED?
Enter your answer as a number, like this: 42
Answer:
34
Step-by-step explanation:
There is the same opposite arch for both angles so they should be equal.
Hope this is helpful!
I need help with this please ASAP!!!
Answer:
B and c
Step-by-step explanation:
please help
This spinner has 6 equal sections. what are the odds in simplest form against spinning blue or yellow?
A) 1:2
B) 2:3
C) 3:2
D) 2:1
Answer:
D
Step-by-step explanation:
hope this helps!!! good luck:)
Answer: its C 3:2
Step-by-step explanation: see how it has the word AGAINST that means the opposite of the word FAVOR if the Question was. . .
This spinner has 6 equal sections. what are the odds in simplest form FAVOR spinning blue or yellow? then the Answer would be B 2:3
but sense the Question is. . .
This spinner has 6 equal sections. what are the odds in simplest form AGAINST spinning blue or yellow?
your Answer is . . .
C) 3 : 2
Have a wonderful day :D
what is the property for (s + 2) +4
Answer:
s+6
Step-by-step explanation:
You just add 2 and 4.
Answer:
Associative
Step-by-step explanation:
(s+2)+4 = s + (2 + 4)
s + 6 = s + 6
What is the volume of a cube that has a height of 10 inches
Answer:
1000 inches
Step-by-step explanation:
V= a3=103=1000in³
Answer:1,000in3
Step-by-step explanation:
V=LxWxH
V=10x10x10
V= 1,000
The partially filled contingency table gives the frequencies of the data on age (in years) and sex from the residents of a
retirement home.
60-69. 70-79. Over 79. Total
Male: 12. 5. 1
Female: 8. 10. 4
Total
What is the relative frequency for females in the age group 60-69?
a. 3/20
b. 1/5
c. 9/40
d. 2/5
Answer:
b) 8/40 = 1/5
The probability of the relative frequency for females in the age group 60-69 is 0.625.
We know that the probability of a function is the ratio of favorable cases to the total number of cases possible.
here we have to find the probability that a resident is female.
What is the formula for probability?[tex]Probability=\frac{Total \ numbers \ of \females}{Total \ number \of people}[/tex]
here the total number of females are=19+2+4
=25
and the total number of males=1+9+5
=15
Hence, the total number of people=25+15=40
So Probability=25/40
=0.625
Hence option D is correct.
To learn more about the probability visit:
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PLEASE ANSWER THIS ILL GIVE BRAINLIEST AND IM GVING MY LAST POINTS I REALLY NEED THIS FAST AND please be right! PLEASE
Answer:
question 7: 280 and question 8: 86
Step-by-step explanation:
Answer:
1) 70
2) 82
Step-by-step explanation:
Finding Distances from the Mean
The mean of the data is 44.7. Complete the chart to find the distances from the mean.
Of
Temp (°F)
2938
45
31
50
58
62
Distance
from the
Mean
15.7
6.7
13.7
y
13.3
Answer:
x = 0.3, y = 5.3, z = 17.3
Step-by-step explanation:
Since given question is incomplete, so here is the complete table for the distance from the mean.
Temp (°F) 29 38 45 31 50 58 62
Distance from the mean 15.7 6.7 x 13.7 y 13.3 z
It's given that the mean of the data is 44.7
Since distance from the mean of a data is the absolute value of the difference of data and mean,
Therefore, distance from the mean of the data will be,
x = |44.7 - 45| = 0.3 (absolute value of the difference)
y = |44.7 - 50| = 5.3
z = |44.7 - 62| = 17.3
Answer:
x = 0.3
y = 5.3
z = 17.3
Step-by-step explanation:
In a right triangle, sin (40 – x)° = cos (3x).What is the value of x?
Answer:
Value of x = 25
Step-by-Step Explanation:
~ Knowing that, in a right triangle ~
sin(40-x)=cos(3x) ⇒
sin(40-x)=sin(90-3x) ⇒
40 - x = 90 - 3x ⇒
40 - x +3x=90 - 3x +3x =>
40+2x=90 =>
2x=50 =>
x = 25
Now it is proven to be that,
x = 25
