Answers
Answer:
x = 698.771
step-by-step explanation:
[tex]\sf \rightarrow \log _{2x}\left(5^{\dfrac{3}{2}}\right)=\dfrac{1}{3}[/tex]
apply ln rules
[tex]\sf \rightarrow \dfrac{\ln \left(5^{\dfrac{3}{2}}\right)}{\ln \left(2x\right)}=\dfrac{1}{3}[/tex]
cross multiply
[tex]\sf \rightarrow \ln \left(5^{\dfrac{3}{2}}\right)\cdot \:3=\ln \left(2x\right)\cdot \:1[/tex]
simplify using calculator
[tex]\sf \rightarrow 7.24247 = ln(2x)[/tex]
shift sides
[tex]\sf \rightarrow e^{7.24247 }= 2x[/tex]
divide both sides by 2
[tex]\sf \rightarrow 698.771= x[/tex]
Answer:
[tex]x=698.771[/tex]
Step-by-step explanation:
[tex]log_{2x} (5\frac{3}{2})=\frac{1}{3}[/tex]
[tex](5\frac{3}{2})*3=In(2x)*1[/tex]
[tex]7.24247=In(2x)[/tex]
[tex]e^{7.24247}=2x[/tex]
÷ [tex]2[/tex] ÷ [tex]2[/tex]
[tex]698.771=x[/tex]
Related Questions
Calculate the slope of the line that passes through (2,0) and (1,5).
Answers
Answer:
m= -5
Step-by-step explanation:
WILL GIVE BRAINLIEST FAST!! Will Give Brainliest if you show all the steps. 8x - 6 / 2 = x + 12
Solve for X
Answers
Answer: 15/7 2 1/7
Step-by-step explanation: First divide 8x-3=x+12 Then add 3 to both sides.
8x=x+15 Subtract x from both sides. 7x=15 Then divide again so 7/7 and 15/7. If you simplify it become 2 1/7
Answer:
x = 15/7
Step-by-step explanation:
Reduce the fraction with 2
8x - 3 = x + 12
Move variable to the left-hand side and change its sign
8x - x - 3 = 12
Move constant to the right-hand side and change its sign
8x - x = 12 + 3
collect like terms
7x = 12 + 3
Add the numbers
7x = 15
Divide both sides of the equation by 7
Solution: x = 15/7
Alternate form
x = 2 1/7, x = 2.142857
On the diagram below, find the measure of each angle show all your work
Answers
Answer:
3
Step-by-step explanation:
from angles on a line = 180°
therefore
(14x + 70 + 20x +8)°= 180°
34x + 78 =180
34x = 180-78
34x= 102
x = 102/34
x= 3
Answer:
3
Step-by-step explanation:
!
A shirt cost $74.89 and the sales tax is 10.25%. How much will the shirt cost?
Answers
Answer:
cost for the shirt: $74.89
Sales tax(10.25%): 7.68
total: $82.57
Step-by-step explanation:
hannah bought a pack of 12 cookies for $3.50 from the grocery store. how many packs of cookies can she buy for $17.50?
Answers
Answer:
60 Cookies
Step-by-step explanation:
Set up a proportion
12 / 3.50 = x/ 17.50
Cross multiply
3.5x = 210
x = 60
It takes Jamil 40 minutes to drive to work, plus or minus 8 minutes depending on traffic. What equation could be solved to find the shortest or longest times she might drive?
Answers
Answer:
Step-by-step explanation:
to find the longest it would be 40+8=48
to find the shortest it would be 40-8=32
What are the solutions for x when y is equal to 0 in the quadratic function
y = x2 +9x?
Answers
Answer:
C) x = 0 or x = - 9
Step-by-step explanation:
[tex]y = {x}^{2} + 9x \\ \\ plug \: y = 0 \\ 0 = {x}^{2} + 9x \\ \\ x(x + 9) = 0 \\ \\ x = 0 \: \: or \: \: x + 9 = 0 \\ \\ x = 0 \: \: or \: \: x = - 9 [/tex]
See picture for math work and answer.
Teacher takes about 25 minutes to make out a test for a mathematics class. How long will it take to make out tests for all five classes?
Answers
Answer:
2h 5min
Step-by-step explanation:
1 class: 25 min
5 classes: 25 x 5 = 125 min = 2h 5min
Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p − m∠o = 90 degrees (alternate interior angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p
Step 4: So, m∠m + m∠n = m∠p
In which step did the student first make a mistake and how can it be corrected?
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)
Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)
Answers
Answer:
they messed up on step one
Step-by-step explanation:
Answer:
Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)
Step-by-step explanation:
Took the exam and got it right. Hope this helps! <3
someone helppp lol.
Answers
Answer:
dam thats wat yall learn in whatever grade u r ik highter for sure but dam im scared now
Step-by-step explanation:
The volume of a cubical box is 64cm³ . What is its side?
Answers
Answer:
4 cm
Step-by-step explanation:
x = the side of a cubical box
x^3 = 64
But 4^3 also = 64
=> x = 4
Answer:
Volume of a cube = a³
64 = a³
3 root 64 = a
4 cm = a
POINTS!! I NEED HELP WITH THIS, WILL GIVE BRAINLIEST TO BEST ANSWER
(6)
Answers
conclusion = it is hot
Answer:
Hypothesis: it is hot
Conclusion: It is July.
Lerola and her younger sister Kiara are jogging around a circular track. Lerola jogs far enough from the center of the circle that her laps are half a mile long. Kiara runs around a circle whose circumference is as long as Lerola's. How far from the center of the circle is Kiara running, in feet? Use 3.14 for pi. 3 2There are 5280 feet in a mile.
Answers
Circumference of circular track, C = 0.5 miles = 0.5×5280 feet = 2640 feet.
We know, circumference in circle is given by :
[tex]C = 2\pi r[/tex]
( Here, r is radius i.e distance of centre from track )
Putting values in above equation :
2 × 3.14 × r = 2640
6.28 × r = 2640
r = 420.38 feet
Therefore, distance between centre and track is 420.38 feet .
Hence, this is the required solution.
Find the distance between
the points (3,-2) and (6,4).
Answers
Answer:
(3,6)
Step-by-step explanation:
First you find the difference between the y values.
6 - 3 = 3.
Then the x values.
4 - -2 = 6
Now form a triangle and use a^2 + b^2 = c^2
3^2 + 6^2 = x^2
9 + 36 = x^2
x = √(45), or 3√(5)
The distance is 3√(5).
Use the interactive number line to find -3.2 - 4.
Answers
Answer:
-7.2
Step-by-step explanation:
Since -3.2 is the first number, this will be the starting point in the number line.
Since we are subtracting, we are going to go 4 units to the left.
-3.2 - 4 = -7.2
Best of Luck!
Answer:
-7.2
Step-by-step explanation:
Roses are red
Violets are blue
I hate Edgenuit y
and so do you
For the month of April, a checking account has a balance of $523 for 23 days, $2340 for 4 days, and $238 for 3 days. What is the account's mean daily balance for
April?
The account's mean daily balance for April is approximately $
(Round to two decimal places as needed.)
Answers
Answer:
Approximately $103.37 per day
Step-by-step explanation:
As April has 30 days, we have to add together $523, $2340, and $238 to get the total balance for the entire month. In this case, the total balance is $3101. Now, referring back to April having 30 days, $3101÷30 days=$103.366666666 a day, when rounded to two decimal places, it equals $103.37 a day. So, the account's mean daily balance for April is approximately $103.37 a day.
Hopefully the explanation and the answer helps!
The mean daily balance will be 736.77
What is weighted mean?Weighted mean is the mean where some of the value contributing more than the other values.
Weighted mean can be calculated by dividing the sum of frequencies and value by the sum of the frequencies.
weighted mean= ∑fₙxₙ/∑fₙ
where f is the frequency and x is the value.
So according to asked question,
in April, balance is in such a way that $523 for 23 days, $2340 for only 4 days, and $238 for only 3 days.
x₁=$523 , f₁=23
x₂=$2340 , f₂=4
x₃=$238 , f₃=3
weighted mean= sum of the product frequency and value/sum of frequency
= ∑fₙxₙ/∑fₙ
= ((523*23)+(2340*4)+(238*3))/(23+4+3)
=22103/30
=736.7666≅736.77
Therefore the mean daily balance will be $736.77.
Learn more about weighted mean
here: https://brainly.com/question/23902866
#SPJ2
The graph shows the amount of savings over time in Eliane's account. , Lana meanwhile, puts $35 each week into savings account. If they both begin with $0, who is saving at the greater rate The graph shows the amount of savings over time in 's account. , meanwhile, puts $ each week into savings account. If they both begin with $0, who is saving at the greater rate?
Answers
Answer: $37 for Eliane's account and $35 for Lana's account
Step-by-step explanation:
simple algebra problem!!! please helpp i will mark you brainliest
Answers
Answer:
y = 2x+4Step-by-step explanation:
Find the slope in the given equation
[tex]y = 2x-8\\\\m = 2x\\\\(3,10)=(x_1,y_1)[/tex]
Substitute values into point-slope form
[tex]y-y_1=m(x-x_1)\\\\y -10=2(x -3)[/tex]
Simplify
[tex]y -10=2x -6\\\\y =2x -6+10\\\\y = 2x +4[/tex]
Find the distance between the two points.
8. (-1,0), (-8, 4)
Answers
Answer:
65
Step-by-step explanation:
what is 4.6783 x 10 to the third power
Answers
4.6783x10^3 P.E.M.D.A.S. exponent before multiplication 10^3 =1000
1000x4.6783= 4,678.3
Johanna’s mom paid $2.40 for a -pound box of cereal. How much would 1-pound of that cereal cost? Sorry I really don’t understand
Answers
Answer:
It would cost $2.40 because 1 pound is $2.40
Step-by-step explanation:
There are 13 sixth grade classrooms at LMMS. Each class has about 28 students.
About how many students are there in the whole sixth grade?
Answers
Answer:
364 students
Step-by-step explanation:
multiply 13 by 28
What is the value of x!
Answers
because 18/12 = 1.5
so 15/1.5 =10
The table represents a linear function.
What is the slope of the function?
-3
-2
3
х
-2
-1
0
1
2
у
-2
1
4
7
10
Answers
The slope of the table is 2
How to determine the slope?From the table, we have the following points:
(x,y) = (0, 4) and (1,7)
The slope is then calculated as:
m = (y2 - y1)/(x2 - x1)
Substitute known values
m = (7 - 4)/(1 - 0)
Evaluate the differences
m = 3/1
Divide
m = 2
Hence, the slope of the table is 2
Read more about slopes at:
https://brainly.com/question/3493733
How many less students had 4 or more colds than 3 or lesscolds last winter?
Answers
The ratio of a rectangle's length to its width
is 2 : 1. If the length is 14 cm, what is its
width?
Answers
Answer:
2/1 = 14/x
cross mulitply
2x=14
2x/2=14/2
x=7
The width is 7 cm
Step-by-step explanation:
How do the measures of the angles of ABC compare with those of A'BC'when A'B'C coinddes wth the other three triangles? What can you say about the presenvation of the angle measurements of a shape during a rotation?
Answers
Answer:
The measure of each angle of abc is equal to the corresponding angle of a'b'c' when coincides with the other three triangles. The measures of the angles of the triangle are preserved as the figure rotates.
Step-by-step explanation:
Find the distance between the point x = (-1,9) and y = (-2,8)
Answers
Answer:
1.4
Step-by-step explanation:
use distance formula
How many solutions does the equation have?
4(2n - 4) + 3 +8n - 19
A. 0
B. 1
C. Infinitely many
Answers
Answer:
A
Step-by-step explanation:
Answer:
A. 0
Step-by-step explanation:
what is the solution to the system of equations graphed below?
y=x+3
y=3x+1
Answers
Answer:
(1, 4)
Step-by-step explanation:
y=x+3
y=3x+1
y=x+3
x+3=3x+1
x=3x-2
-2x=-2
x=1
y=1+3
y=4