Isolate the variable using algebraic manipulation.
[tex]-4 ln(6x)=2[/tex]
[tex]ln(6x)=-\frac{1}{2}[/tex]
[tex]6x=e^{-\frac{1}{2}}[/tex]
[tex]x=\frac{e^-\frac{1}{2}}{6}[/tex]
[tex]x=0.101[/tex]
Hope this helps.
頑張って!
Answer:
A) 0.101
Step-by-step explanation:
[tex]ln(6x) = -1/2[/tex] [tex]6x = e^(^-^1^/^2^)[/tex] [tex]6x = 1/\sqrt{e}[/tex] [tex]x = 1/(6\times \sqrt{e})[/tex]Using the calculator [tex]x = 0.101[/tex]
Find the midpoint of the segment with the given endpoints. (-10.2) and (0,-7)
Answer:
[tex]=\left(-5,\:-\frac{5}{2}\right)[/tex]
Step-by-step explanation:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-10,\:2\right),\:\left(x_2,\:y_2\right)=\left(0,\:-7\right)\\\\=\left(\frac{0-10}{2},\:\frac{-7+2}{2}\right)\\\\= (\frac{-10}{2} , \frac{-5}{2})\\ \\=\left(-5,\:-\frac{5}{2}\right)[/tex]
A hot air balloon ascended to a height of 25 meters 2 minutes after launch. After some time, the balloon's altitude began to change by -2⅕ meters every minute for 7 minutes. To avoid a tree, the balloon flew up by 8½ meters. What is the new altitude of the balloon? expression for problem?
Answer:
18.1 m
Step-by-step explanation:
For this problem, we will simply use the initial height of 0 meters, the height of 25 meters after 2 minutes, the decline of 2.2 meters every minute for 7 minutes, and a final increase of 8.5 meters to find the final altitude of the ballon.
0m + 25m - 2.2m(7) + 8.5m = ?
25m - 15.4m + 8.5m = ?
9.6m + 8.5m = ?
18.1m = ?
Hence, the final altitude of the ballon is 18.1m.
Cheers.
Which equation describes this line?
(1, 13)
(-2, 4)
Answer:
y =3x+10Step-by-step explanation:
[tex]\mathrm{Line\:passing\:through\:}\left(1,\:13\right)\mathrm{,\:}\left(-2,\:4\right)\\\\(1,13)=(x_1,y_1)\\(-2,4) = (x_2,y_2)\\\\\frac{y-13}{x -1} = \frac{4-13}{-2-1}\\ \\\frac{y-13}{x-1} = \frac{-9}{-3}\\\\ -3(y-13)=-9(x-1)\\\\-3y +39 =-9x +9\\\\-3y =-9x+9-39\\\\-3y =-9x -30\\\\\frac{-3y}{-3} = \frac{-9x}{-3} - \frac{30}{-3} \\\\y = 3x+10[/tex]
Answer:
y - 4 = 3 ( x + 2 )
Step-by-step explanation:
so ,
( 1 , 13 ) and ( - 2 , 4 )
x1 y1 x2 y2
formulae of slope m is y2-y1
over
x2-x1
4-13
/
-2-1
-9/-3
therefore m=3
now to get the equation of line is
y-y1=m(x-x1)
y - 13 = 3 ( x - 1 )
y - 13 = 3 x - 3
y = 3 x - 3 + 13
y = 3 x + 10
y - 4 = 3 x + 6
y - 4 = 3 ( x + 2
Graph f(x) = 2x2 + 12x + 12
Answer:
Step-by-step explanation:
Thirteen plus a number N is greater than fifteen
How many solutions does the system have?
2x+3y=6
-3x+5y=-15
Answer:
one solution
Step-by-step explanation:
2x+3y=6 multiply this equation with 3
-3x+5y=-15 multiply this equation with 2
so
6x+9y=18
-6x+10y=-15
----------------------
add these equation
so 6x-6x+9y+10y=18-15
19y=3
y=3/19
so 2x+3*3/19=6 multiply this equation with 19
2x*19+9=6*19
38x+9=114
-9 -9
38x=105
x=105/38
It's possible to build a triangle with side lengths of 4, 4, and 16
Answer:
Yes it's possible to make a triangle with 4, 4 and 16.
But if it also has 2 equal angles along with the equal sides (4 and 4), you can call it isosceles triangle.
Keena's shirt is $13. She gets a 20% off. What is the price?
Answer:
$10.40
Step-by-step explanation:
Just like any other percent problem, subtract 20%.
$13 - 30% = $10.40
Your answer is $10.40. Hope this helps!
y = 7x - 15
y = 4x - 12
Answer:
Step-by-step explanation:
7x - 15 = 4x - 12
3x - 15 = -12
3x = 3
x = 1
y = 7(1) - 15
y = 7 - 15
y = -8
(1, -8)
What is the solution of log(t-3) = log(17-4t)?
Answer:
t=4
Step-by-step explanation:
Answer:
Solution: 4
Step-by-step explanation:
We are given that log(t - 3) = log(17 - 4t), and need to solve for the value of t. Start off by applying the log rule 'If log(f(x)) = log(g(x)) say, then f(x) = g(x).' Similarly the equation boils down to the following:
t - 3 = 17 - 4t
Solving this equation, we will receive our solution. Let's do it:
t - 3 = 17 - 4t,
t = 20 - 4t,
5t = 20,
t = 20/5 = 4 ✓
The previous solution is correct.
A single-payment loan of $5,955. Interest rate of 8.75 percent. Days of ordinary
interest: 42. Round to the nearest hundredth. What is the interest owed? What is the maturity value?
Answer:
interest owned = PTR/100
= 5955*(42/365)*8.75/100 =59.96
maturity value = 5955+59.96=6054.96
Step-by-step explanation:
(Ticket sales) tickets for a community theater costs $10 for each main floor seat and $8 for each balcony seat. There are 400 seats on the main floor, and these seats were sold out for the evening performance. The total revenue from ticket sales was $5200. How many balcony seats were song?
Answer:
150
Step-by-step explanation:
400*10=4000
5200-4000=1200
1200 divided by 8 =150
Answer:
150 seats were sold.
Step-by-step explanation:
first do 10x400= 4000
then 5200-4000= 1200
divide that by how much balcony tickets cost, so 1200÷8= 150 seats
Linear equation
4X-12+3x+9
Steps to solve:
4x - 12 + 3x + 9
~Combine like terms
(4x + 3x) + (-12 + 9)
~Simplify
7x - 3
Best of Luck!
Answer:
X = 3/7
Step-by-step explanation:
4X - 12 + 3X + 9 = 0 (separate them)
4X + 3X = 12 - 9 (add)
7X = 3 (divide 7 on both sides)
X = 3/7
So uh max points is 100 well whats 2-1 equal im really confused
Answer:I'm confused to
Step-by-step explanation:
Answer:
Can you explain more 2-1 as in a ratio
Step-by-step explanation:
Monica is a lawyer who earns $8,322.65 every month. She spends $830.98 on rent, $210.36 on food, and $120.45 on gas every month. After these expenses, she has $ left from her earnings.
Answer:
Money left from her earning after expenses is $ 7160.86
Step-by-step explanation:
Money earned by Monica every month = $ 8322.65
Money spend on rent = $ 830.98
Money spend on food = $ 210.36
Money spend on gas every month = $ 120.45
Money left from her earning = 8322.65 - ( 830.98 + 210.36 + 120.45 )
= 8322.65 - 1161.79
= $ 7160.86
Answer:
Money left from her earning after expenses is $ 7160.86
Step-by-step explanation:
Money earned by Monica every month = $ 8322.65
Money spend on rent = $ 830.98
Money spend on food = $ 210.36
Money spend on gas every month = $ 120.45
Money left from her earning = 8322.65 - ( 830.98 + 210.36 + 120.45 )
= 8322.65 - 1161.79
= $ 7160.86
Therefore. Money left from her earning after expenses is $ 7160.86
If you have 1,478 squares, can you make a stair-like structure using all of the squares?
A town doubles its size every 44 years. If the population is currently 8,000, what will the population be in 88 years?
Answer:
32,000
Step-by-step explanation:
In 44 years, it will double to 16,000. In 44 more years (88 years from now), it will double again to 32,000.
The population in 88 years will be 32,000.
WHAT IS 100 TIMES GREATER THAN 20
Answer:
2000
Step-by-step explanation:
20 x 100 = 2000
Hope this helps
If FG = 10, GH = 7x, and FH = 9x, what is FH?
F 10
G
H
9x
Answer: FH is 9x, given in the question
It's 45 if you solve for x and plug in x=5
Step-by-step explanation:
FG+GH =FH
10+7x= 9x
10=2x
x=5
FG+GH=FH
10 +7(5) = 9(5)
10 + 35 =45
A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i. What is the student's mistake? Select the two correct answers. A. They multiplied the second number by the real part of the first number. B. In the multiplication of the imaginary parts, the student forgot to square the i. C. The student has only multiplied the real parts and the imaginary parts. D. The student has added the real parts and multiplied the imaginary parts. E. The student has multiplied the second number by the imaginary part of the first number.
Answer:
B. In the multiplication of the imaginary parts, the student forgot to square the i. C. The student has only multiplied the real parts and the imaginary parts.Step-by-step explanation:
Before we figure out the student mistake, let us find the product of the complex numbers ourselves first.
(4+5i) (3-2i)
open the parenthesis
= 4(3)-4(2i)+3(5i)+5i(-2i)
= 12-8i+15i-10i²
Note that in complex number, i² = -1, hence the expression will become;
= 12-8i+15i-10(-1)
= 12-8i+15i+10
collect like terms by separating the real from imaginary part
= 12+10-8i+15i
= 22+7i
From the students answer i.e 12-10i, it can be concluded that;
In the multiplication of the imaginary parts, the student forgot to square the i and the student has only multiplied the real parts and the imaginary parts 4 and 3 to get 12
The scatter plot shows association between the age of a motorcycle and the sale price of the motorcycle because as the age of a motorcycle increases, the sale price of the motorcycle
Answer:
C
Step-by-step explanation:
The answer is C
WILL MARK BRAINLIEST EASY MATH PROBLEM!!! + FREE VBUCKSSS
Answer:
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
Please help marking as brainliest ndbi brought 16 packages of blueberries for 48. how many packages can jacob buy if he has $12.
Answer:
4 packages
Step-by-step explanation:
ndbi bought 16 packages of blueberries for $48, which means he bought 1 package for $3 because 48 / 16 = 3.
jacob has $12, so he can buy 4 packages of blueberries because 12 / 3 = 4.
Suppose that, in 1995, Germany produced 4.719 million computers. The total world production that year totaled 80 million computers. What percent of the world's total production of computers is contributed by Germany? Round your answer to the nearest tenth.
Answer:
To the nearest tenth
Percentage= 5.9%
Step-by-step explanation:
In 1995, Germany produced 4.719 million computers.
In that same year, the total computer production of the whole world was 80 million.
The percentage of the world production contributed by Germany
=Number produced by Germany/Number produced by the whole world * 100
The percentage of the world production contributed by Germany
=( 4.719/80)*100
The percentage of the world production contributed by Germany
=5.89875%
To the nearest tenth
= 5.9%
What is the multiplication 12×4
Answer: 48
12+12=24
24+12=36
36+12=48
12x4= 48
Arrange the numbers one on top of the other and line up the place values in columns.
Starting with the ones digit of the bottom number, the multiplier, multiply it by the last digit in the top number.
Write the answer below the equals line.
:)
You randomly draw twice from this deck of
cards
HCF F||0||D
What is the probability of drawing a D, then
drawing an F, without replacing the first
card?
answer=my buttttttttttttttttttttttttttttttttttttttttttttttttt
How are natural and whole numbers different ?
Answer:
Whole numbers include 0 while natural numbers do not.
Step-by-step explanation:
Natural numbers are 1, 2, 3, 4, etc.
Whole numbers are 0, 1, 2, 3, 4, etc.
Solve the absolute value equation below 3|6-4x|-4=
Answer:
Impossible, not enough to answer the question
Step-by-step explanation:
As you can see because there is no number or variable past the equal sign it is simply an expression, please correct me if I am wrong but even if the other side was 0, I doubt a teacher would give this problem with decimals, but it may just be me.
It takes Ron 3 hours to paint one side of a house. It takes Natalie 6 hours to paint the same area. What is Natalie's rate
of doing a side of a house in an hour
Answer:
the answer is 6x3 which is 18
Step-by-step explanation:multiply to find out the answer
Determine whether the study is an observational study of an experiment. Explain.
In a survey of 1117 adults in a country, 54% said the country's leader should release all medical information that might affect their ability to serve The study is_____because it____a treatment to the adults.
Answer: Observational ; does not
Step-by-step explanation: The main distinguishing factor between an experimental study and an observational study lies in the administration of treatment to the participant of the study. In experimental study, some or all the participant in the study are subjected or exposed to a certain treatment and their response to such treatment. ON THE OTHER HAND, Observational study is usually employed when there is a need to gather information on a particular subject matter without directly influencing the participants. In the scenario above, participants were not given any TREATMENT as they were only required to gather information and not to measure the effect of a treatment.