[tex]\huge \rm༆ Answer ༄[/tex]
The value of x is ~
[tex] -0.8 [/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve for x ~
[tex] \sf \: log_{6}(36) = 5x + 6[/tex][tex] 2 = 5x + 6[/tex][tex]5x = 2 - 6[/tex][tex]x = - 4 \div 5[/tex][tex]x = - 0.8[/tex]I hope it helped ~
[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
The value of x in the given equation is [tex]-\frac{4}{5}[/tex]
From the question,
We are to solve the given equation
The given equation is
[tex]log_{6}(36) = 5x +6[/tex]
This becomes
[tex]log_{6}(6^{2} ) = 5x +6[/tex]
From one of the laws of logarithms, we have that
[tex]log_{x}(x^{2} ) = 2log_{x}(x)[/tex]
and
[tex]log_{x}(x) = 1[/tex]
∴ [tex]log_{6}(6^{2} ) = 5x +6[/tex] becomes
[tex]2log_{6}(6) = 5x +6[/tex]
and
[tex]2(1)= 5x +6[/tex]
[tex]2 = 5x +6[/tex]
Now, subtract 6 from both sides
[tex]2-6 = 5x +6-6[/tex]
[tex]-4 = 5x[/tex]
∴ [tex]x = -\frac{4}{5}[/tex]
Hence, the value of x in the given equation is [tex]-\frac{4}{5}[/tex]
Learn more on solving equations here: https://brainly.com/question/11802986
Which is the equivalent of 0.00000000989 in proper scientific notation?
Answer:
9.89×10^-9
Step-by-step explanation:
0.000 000 009 89 = 9.89×10^-9
__
We have introduced spaces in the number to make the digits easier to count. (Some technical publications will write the number with thin spaces for just that reason.) The most-significant digit is in the 9th place to the right of the decimal point, so has a place value of 10^-9.
At the beginning of spring, Eva planted a small sunflower in her backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 2.5 inches per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after
w
w weeks
Answer:
A=15 inches. B=h=5+2.5w inches
Step-by-step explanation:
Our starting height is 5 inches.
It grew at a constant rate of 2.5 inches per week.
A. How tall after 4 weeks?
Well, we can solve by making an equation.
height=5inches+2.5(x)
In this situation, x is 4.
Height will be 15 inches.
B. This is just asking for the equation.
We already did that in part a!
We just need to switch x out with w.
h=5+2.5w
What is the x-value of the vertex of f(x) = -x2 + 9x - 11 ?
Answer:
at the vertex x = 4.5
Step-by-step explanation:
hope this helps! :)
Answer:
at the vertex x = 4.5
Step-by-step explanation:
Which of the following correctly shows the quotient of 75 divided by 5
Answer:
answer is when u will multiply 5 with 15 then u will got your answer
just kidding answer is 75
so 75 is quotient
but have written which of the following ( in the question)
so where is the options .Evaluate the expression
[3(15+4)2 +2(20+5)2]0
0
5
1
2
0, 5, 5, 1, 2
is evaluate
What does y= -3x+3 equal
Answer:
Solving for x, the answer is x = 1 - y/3
Hope this helps :D
Answer:
Step-by-step explanation:
y= -3x+3 is the equation of a straight line with slope -3 and y-intercept 3. The x-intercept is found by letting y = 0 and solving for x: x = 1.
y= -3x+3 can be re-written in "standard form:" 3x + y = 3.
Enter the number that belongs in the green box
Answer:
128 degrees
Step-by-step explanation:
Opposite interior angles
Help I need help solving this!
Answer:
Step-by-step explanation:
8 x 10*-3
is how many times as great as 4 x 10*-6?
2 x10*3
2 x 10 *9
2 x 10 *-9
2 x 10-*_•-3
Answer:
[tex]\huge\boxed{2\times10^3}[/tex]
Step-by-step explanation:
[tex](8\times10^{-3})\div(4\times10^{-6})=\dfrac{8\times10^{-3}}{4\times10^{-6}}=\dfrac{8}{4}\times10^{-3-(-6)}=2\times10^{-3+6}=2\times10^3[/tex]
Used:
[tex]\dfrac{a^n}{a^m}=a^{n-m}\ \text{for}\ a\neq0[/tex]
Solve the equation :
In(5-x) = In5 - Inx,
giving your answers correct to 3 significant figures.
[tex]\ln(5-x) = \ln 5 - \ln x\\\\\implies \ln(5-x) + \ln x = \ln 5\\\\\implies \ln[(5-x)x] =\ln 5\\\\\implies \ln(5x -x^2) = \ln 5\\\\\implies 5x -x^2 = 5\\\\\implies x^2 -5x +5 =0\\\\\implies x = \dfrac{-(-5) \pm \sqrt{(-5)^2 - 4 \cdot 1 \cdot 5}}{2(1)}\\\\\implies x = \dfrac{5 \pm \sqrt{5}}{2}\\\\\text{Hence} ~x = \dfrac 12\left(5 + \sqrt 5\right)=3.62~~ \text{and}~~ x =\dfrac 12 \left(5-\sqrt 5\right) =1.38[/tex]
Answer:
x1 = 3.618, x2 = 1.382
Step-by-step explanation:
ln(5-x) = ln5 - lnx
ln(5-x) + ln(x) = ln5
ln(5x-x^2) = ln5
5x-x^2=5
0=x^2-5x+5
x = -(-5)±√((-5)²-4(1)(5)) / 2(1)
x = 5±√(25-20) / 2
x = 5±√5 / 2
x1 = 3.618, x2 = 1.382
John is selling sets of knives and makes a 10% commission on all sales. What would his commission be on the sale of a $3250 set of knives?
Monroe uses a microscope observe specimens in science class. The Microscope enlarges objects to 100 times their actual size. Find the size of each specimen as seen in the microscope. Monroe Teacher wants each student to draw a sketch of the longest specimen? Seen through the microscope, a specimen is 0.75 cm long. What is it actual length?
Answer:
0.0075 centimeters long
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
L x 100 = 0.75 cm
The actual length of the specimen = L
The actual length of the specimen is 0.0075 cm
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Seen through the microscope, a specimen is 0.75 cm long.
The Microscope enlarges objects to 100 times their actual size.
This means,
Let the actual length of the specimen = L
Now,
L x 100 = 0.75 cm
The actual length of the specimen.
L x 100 = 0.75 cm
L = 0.75 / 100
L = 75/10000
L = 0.0075 cm
Thus,
The actual length of the specimen is 0.0075 cm
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
A traffic study determined that a larger city population indicates a
longer commute time for drivers. What can we say from this
information?
Answer:
There must he a circulation. May not be causation.
which of the following points does not lie on the graph of y=1/2x+3?
A. (10,8)
B. (-2,2)
c. ( 0,3)
d. (-6,-3)
Answer:
B
Step-by-step explanation:
The sum of two numbers is 30. Their difference is 12. Use substitution to solve a system of equations to solve for the two numbers.
Answer:
9 and 21
Step-by-step explanation:
setting up the equation
let x and y represent the two numbers
this means that x + y = 30
x - y = 12
using substitution to solve
if x - y = 12, that can be rearranged to x = y + 12.
substitute x = y + 12 into x + y = 30
you get (y + 12) + y = 30
simplify
2y + 12 = 30
2y = 18
y = 9
plug this into the original equation x + y = 30. this would be
x + 9 = 30
x = 21
the numbers are 21 and 9.
The mass of 100 tins of corned beef is 34 g. What is the mass, in grams (g), of 1 tin of corned beef?
Answer:
solution
100 tins of corned beef =36 g
1 tin of corned beef = 36÷100=0.36
so, 1 tin of corned beef is 0.36 g.
The owner of a retail store is tracking his inventory for an annual report. The graph shows the remaining inventory for a particular item and the number of days that have passed since the stock was replenished. Which type of function best models the relationship between the number of days and the inventory remaining? A. a linear function with negative slopes
Natasha has a job putting letters in envelopes to be mailed. In 1 hour she put 42 letters
Answer:
In a period of time of 24 hours...
Step-by-step explanation:
In a period of time of 24 hours, she would have put 1008 letters. Good job Natasha
What is the value of y?
Answer:
80° because 50° 60° 70° and 80°
Consider the sequence: -7, -2, 3, 8…. What is f(7)?
In the figure, what would be represented by c^2
A the sum of the lengths of legs a + b
B the area of the rectangle with diagonal
c the length of the hypotenuse of the triangle
D the area of a square constructed on the hypotenuse
Answer:
D
Step-by-step explanation:
We can go through each answer to see if it's right
A
In a right triangle, with c opposite the right angle, we know that
a²+b² = c²
The answer is stating that a+b = c². Unless both a and b are either 0 or 1, this is incorrect
B
The area of a rectangle is equal to length * width, or in this case, a* b. Compare this with our equation of
a²+b² = c² and this is incorrect
C
The hypotenuse, or the side opposite the right angle, is c. The answer is stating that c = c². This is incorrect unless c = 1 or c = 0
D
The square constructed on the hypotenuse would have a side length of c. The area of a square is length², or in this case, c². c² = c² so this is correct
Help me please i really need it
=======================================================
Explanation:
The ratio we want is in the format green:red:total which means we list the number of green first, then the number of red next, then the number total last. The order is very important. This is because we'll simply list the numbers without saying the color name or "total". So the reader will imply what the numbers refer to, based on this order mentioned.
We have:
50 red70 green42 yellow50+70+42 = 120+42 = 162 totalThe ratio of green to red to total is 70:50:162
To reduce the ratio, we divide all three parts of that ratio by the GCF 2
70/2 = 3550/2 = 25162/2 = 81The ratio 70:50:162 fully reduces to 35:25:81 which is the final answer.
This says that for every 35 green marbles, we have 25 red marbles and 81 total marbles.
Can someone help me??
Answer:
The answer is B
Step-by-step explanation:
Which term of the AP 21, 18, 15 ...... is -81 ?
Given AP is 21 ,18,15,...
First term = 21
Common difference = 18-21 = -3
Let an = -81
We know that
an = a+(n-1)d
⇛21+(n-1)(-3) = -81
⇛ 21-3n+3 = -81
⇛24-3n = -81
⇛ 24+81 = 3n
⇛ 105= 3n
⇛ n = 105/3
⇛ n = 35
35th term of the AP is -81.
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Which term of the AP:3, 8, 13, 18,...,is 78?
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Which expression is equivalent to w • 35?
Answer:W= B-3 or 3=B-W
Step-by-step explanation:
What is the x-value of the vertex of f(x) = -x2 + 9x - 11 ?
Answer:
I believe it would be 9/2 !
Step-by-step explanation:
1. The total amount of what you eam during the pay period before taxes and deductions are taken out is known as what?
Wage
Net pay
Salary
Gross pay
Answer:
net pay if im not mistaking
Step-by-step explanation:
35 devide 28 with decimals pls help
Answer:
1.25
Step-by-step explanation:
The answer in decimal is 1.25
35/28= 1.25
= 35 ÷ 28
by 1
=35 - 28 = 7
Introducing decimals
= 70 to 28
by 2
= 70 - 56 = 14
adding zero to 14
= 140 to 28
by 5
= 140 - 140 =0
the answer is 1.25
I did it this way through division hope you'll understand. All the best.
What is the probability of rolling a number greater than 1?
Type a fraction
Step-by-step explanation:
A die has six faces numbered from one to six. Five of the faces have numbers greater than one so the probability of rolling a number greater than one is 5 out of six or as a fraction,
[tex]\dfrac{5}{6}[/tex]
5.3mm, 5.0cm, 4.9cm, 5.32cm Which of these following reading is more precise
Answer:
5.32
Step-by-step explanation:
it had a more exact reading than the others
