What is the value of log27 165
The solution of the logarithmic function log₂₇165 found using logarithmic properties is :
(1 + log ₃55)/3.
What is a logarithmic function?
The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. The usage of logarithmic functions makes it simple to determine some of the non-integral exponent values. The common logarithmic function, which has a base of 10, is identified by the symbols log₁₀ or log.
We are asked to solve the following logarithmic function.
log₂₇165
Here the base of the log is 27.
According to logarithmic properties, we can write the above functions as:
log₂₇165 = log 165 / log 27
If we are dividing the numerator and denominator by log 3, then the new base will become 3.
(log 165 / log 3) / (log 27/log3) = log ₃165 / log₃ 27
Now we can solve as follows,
log ₃165 / log₃ 27 = log ₃(3*55) / log₃ (3³) = [log ₃(3)+log ₃(55)] / 3log₃3
= (1 + log ₃55)/3
Therefore the solution of the logarithmic function log₂₇165 is
(1 + log ₃55)/3.
To learn more about logarithmic functions, follow the link.
https://brainly.com/question/13473114
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log 7 (x2 + 11) = log 7 15
x = 2
Step-by-step explanation:
Since sides have the same base (7), then we can simply write
[tex] {x}^{2} + 11 = 15[/tex]
[tex] {x}^{2} = 4[/tex]
or
[tex]x = 2[/tex]
Part A
Monique’s group will design a float for the I love my city parade. They plan to highlight the city’s train system by making a float of the MetroPass.
*SEE PICTURES FOR ACTUAL MEASURES*
The actual MetroPass is 2.1 inches wide and 3.4 inches long. Moniques group wants the MetroPass float to be 74.8 ft long. Her group needs to find the width of the MetroPass float.
How wide, in feet, will the MetroPass float be? Round you answer to the nearest tenth. Show your work.
*WILL BE MARKED BRAINLIEST*
Answer:
Width = 64.4 feet
Step-by-step explanation:
A scale is a representative faction that can be used to either increase or decrease the dimension of a given object.
scale = [tex]\frac{nem length}{actual length}[/tex]
But,
1 feet = 12 inches
For the actual MetroPass;
length = 3.4 inches = 0.2033 feet
width = 2.1 inches = 0.175 feet
The MetroPass float has a length of 74.8 feet.
scale = [tex]\frac{74.8}{0.2033}[/tex]
= 367.93
So that;
the width of the MetroPass float = 0.175 x 367.93
= 64.388
Therefore, the width of the MetroPass float is 64.4 feet.
I think it’s B but im not sure
Answer:
19
Step-by-step explanation:
-9b -5 -7b = -309
-16b - 5 = -309
16b = 309 - 5
16b = 304
b = 304 ÷ 16
b = 19
I need the surface area and volume
Answer:
this is a cylinder and it volume is =2pie r²h
PLEASE HELP MEEE
–h = 14
Answer:
Step-by-step explanation:
We know that h must be a negative number. In this case, h is equal to -14.
X + 3( x + 2) + 2 in the simplest form
Answer:
4x+8
Step-by-step explanation:
X + 3( x + 2) + 2
Distribute
x +3x+6+2
Combine like terms
4x+8
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]4x + 8[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the expression:}}\\\\\underline{x+3(x+2)+2}\\\\\rightarrow x + 3x + 6 + 2\\\\\rightarrow 4x + 6 + 2\\\\\rightarrow \boxed{4x + 8}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
hELP ME WITH THIS!!!
Answer:
5196
Step-by-step explanation:
So it's 5040+(-156)
We have to find the absolute value
|-156|=156
5040+156=5196
Answer:
5196 m
Step-by-step explanation:
The sea is level = 0
If Punack Jaya, is 5040 m above sea level then it would be = + 5040 m
If Lake Assal is 156 m below sea level then it would be = - 156 m
The difference between the two elevations:
= 5040 - (-156)
= 5040 + 156 --> two negatives create a positive
= 5196 m
If a quadratic equation is given to you in vertex form, what is the vertex?
If for example, you were given y = 2(x-3)^2 + 5, then the vertex is (3,5)
As another example, the equation y = 7(x+1)^2 + 10 has the vertex (-1,10)
The general vertex form is y = a(x-h)^2 + k with the vertex (h,k)
Answer:
(-h,k)
Step-by-step explanation:
vertex form:
y＝a(x-h)^2+k
switch sign of h and you get the x
keep sign of k and you get y
ex- 3(x-5)+7
vertex＝（5,7）
If c is the number of cats, which variable expression represents the phrase
below?
The sum of the number of cats and 15 dogs
A. C+15
B. C-15
C. c. 15
D.
15
the answer would be A.) C+15
if i got a F this quarter but all passing grades last quarters yall think i would have summer school ?
Answer:
I dont know
Step-by-step explanation:
Answer:
Maybe. But look at me, I have two F's and all D's in the last quarter when I had A's a B's and one C for the 1st, 2nd, and 3rd quarter. I am going to get kicked out if I have ONE F. Yay.... :,)
Step-by-step explanation:
I need your math skills or I go to summer school!
Answer:
First image:
C, D, and E are true.
Second image:
30 tbsp
Step-by-step explanation:
1 cup = 8 ounces
A is false.
1 quart = 4 cups
7 qt = 28 cups
28 + 4 = 32
32 < 34
B is false.
1 gallon = 8 pints
4 gallons = 32 pints
31 < 32
C is true.
1 gallon = 4 quarts
5 gallons = 20 quarts
20 < 21
D is true.
1 quart = 2 pints
15 quarts = 30 pints
30 = 30
1 ounce = 2 tablespoons
15 ounces = y tablespoons
[tex]\frac{1}{2}: \frac{15}{y}[/tex]
1 × y = 15 × 2
y = 30
30 tbsp
Which graph matches the equation y+3=2(x+3)?
A (0,3) (-3,-3)
B (0,6) (-3,0)
C (0,-3) (-3,-9)
D (3,3) (0,-3)
Answer:
A (0,3) (-3,-3)
Step-by-step explanation:
A graph will match the equation if both the coordinates points replaced in the equation generate a identity.
When x = -3
[tex]y + 3 = 2(x + 3)[/tex]
[tex]y + 3 = 2(-3 + 3)[/tex]
[tex]y + 3 = 0[/tex]
[tex]y = -3[/tex]
So (-3,-3) is part of the graph.
When x = 0
[tex]y + 3 = 2(x + 3)[/tex]
[tex]y + 3 = 2(0 + 3)[/tex]
[tex]y + 3 = 6[/tex]
[tex]y = 3[/tex]
So (0,3) is part of the solution.
(-3,-3) and (0,3), so option A.
Pls answer this is due very soon!
Answer:
option C
Step-by-step explanation:
Since three sides of the triangle are same , the triangle is equilateral.
Again every equilateral triangle is also an isosceles triangle.
The angles of an equilateral triangle are the same and is 60°. Therefore it is acute ( < 90°)
How do I calculate the probability of the next win for a team that won 12 out of 20 soccer games?
Answer:
3/5
Step-by-step explanation:
12/20 = 3/5
Find the future value for a $100,000 investment for 12 years at a compounded continuously at 2.1%?
Answer:
128659.6037
Step-by-step explanation:
contiously compounding interest formula:
PV(e^(i*t))
100000e^(.021*12)=128659.6037
Help please help I don’t know this
Answer:
option d is the correct answer.
Step-by-step explanation:
Which expression is equivalent to this quotient? 3x^2 -3/x^2+3x/ x+1/ x(x+3)
It's a bit tedious, but it's just a bunch of factoring and manipulation.
Find the exact value of the following.
Find -xy, for x = -75.9 and y = 2.6.
-xy =
Answer:
197.34
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
x = -75.9
y = 2.6
-xy
Step 2: Evaluate
Substitute in variables: -(-75.9)(2.6)Multiply: (75.9)(2.6)Multiply: 197.34What steps do i have to take to get the proven
Answer:
I can't really see I wish I can help
Brainliest, 10 Points, 5 stars. Solving & Graphing Systems Of Equations. Find the solution of this system of equations.
9514 1404 393
Answer:
(x, y) = (-7, 5)
Step-by-step explanation:
I find a graphing calculator to be useful for solving equations by graphing. The graph shows the solution to be ...
(x, y) = (-7, 5)
__
In these equations, the y-coefficients are the same, so we can eliminate y by subtracting the first equation from the second.
(4x -6y) -(-2x -6y) = (-58) -(-16)
6x = -42 . . . . . . . . . simplify
x = -7 . . . . . . . . divide by 6
Substituting into the first equation gives ...
-2(-7) -6y = -16
6y = 30 . . . . . . . . . . add 16+6y to both sides
y = 5 . . . . . . . . .divide by 6
The solution is (x, y) = (-7, 5).
If the price of ice cream changes by 30 percent and the quantity demanded changes by 75 percent, what is the absolute value of demand elasticity?
Can someone help me and explain because i don’t understand.
Answer:
y=33 degree
Step-by-step explanation:
y = 33 degree (the relation between y and 33 is they are vertically opposite angles anf verticelly opposite angles are always equal)
If you apply the changes below to the quadratio parent function, f(x) = x2
what is the equation of the new function?
• Shift 1 unit right.
• Vertically stretch by a factor of 5.
• Reflect over the x-axis.
Answer:
[tex]f(x) = -5(x+1)^2[/tex]
Step-by-step explanation:
We are given the following function:
[tex]f(x) = x^2[/tex]
Shift 1 unit right.
Shifting a function a units to the right is finding f(x+a). So
To shift one unit right:
[tex](x+1)^2[/tex]
Vertically stretch by a factor of 5.
To vertically stretch by a factor of 5, we multiply the function by 5. So
[tex]5(x+1)^2[/tex]
Reflect over the x-axis.
To reflect over the x-axis we multiply the function by -1. So
[tex]f(x) = -5(x+1)^2[/tex]
If your house was worth $250,000.00 and you had to pay 2% of that amount to the town for local property tax. How much tax would you have to pay?
Answer:
5000
Step-by-step explanation:
250,000 x .02 (2%)=5000
A rectangular piece of plywood 7.00 ft by 10.00 ft is cut from one comer to an opposite comer. What are the angles between the edges of the resulting pieces? Include
all resulting angles
The angle(s) is/are degrees
(Round to the nearest tenth as needed. Use a comma to separate answers as needed. Do not include the degree symbol in your answer. Type each answer only
once.)
Answer:
Step-by-step explanation:
let one angle=a°
second angle=(90-a)°
tan a=7/10=0.7
a=tan^{-1}(0.7)≈35.0°
other angle=90-35=55.0°
PLEASE HELP ASAP!! WILL MARK BRAINLIEST
Answer:
y = 7.
Step-by-step explanation:
The work for this is in the attachment. Since WXY = ZOP, then sides OP and XY are congruent.
Therefore, you can use XY on the other side of the equal sign to figure out the variable.
A meteorologist reports that there is a 30% chance the temperature will fall below freezing tomorrow. On any given day, the bus has a 60% chance of being late.
Assuming the bus travels independently of temperature, what is the probability that a passenger would be waiting for a late bus in freezing weather?
===========================================================
Explanation:
Convert each percentage to decimal form
30% converts to 0.3060% converts to 0.60Then multiply the decimal values
0.30*0.60 = 0.18
That converts to 18%
So there's an 18% chance that both events happen at the same time. In other words, there's an 18% chance of the temperature falling below zero and the bus being late.
which fraction does not belong? 2\3. 6\9. 4\6 6\8
Answer:
6/8
hope this helps
have a good day :)
Step-by-step explanation:
I'LL GIVE YOU BRAINLEST IF YOU GET IT RIGHT AND EXPLAIN
I work at a restaurant and earn tips each night.On a busy Saturday night,I predict that i will earn $200 in tips for the night.When i get hom and i count up my total tips,I realize that the percent error is less than 10%.Select all of the following that could represent the amount I earned in tips?
$160
$180
$200
$220
$240
Ok.
You predicted that your tip will be $200.
You realised that you were wrong by less than 10%.
So,
10% of $200
= (10/100) × $200
= $20
So, your actual tip can be less or more by less than $20.
$160 (less than $200 by $40, so error = 20%)
$180 (less than $200 by $20, so error = 10%)
$200 (equal to $200, so error = 0%)
$220 (more than $200 by $20, so error = 10%)
$240 (more than $200 by $40, so error = 20%)
So, your possible actual tips can be:
$200 (equal to $200, so error = 0%)
Hope it helps!!!Have a great day. ^_^