The value of log subscript 6 baseline start fraction 1 over 36 end fraction is -2.
Let x is the unknown value
We have to determine the value of x
[tex]Log_6 ( 1/36) = x....Given[/tex]
What is the meaning of logarithmic function?Logarithmic functions are the inverses of exponential functions, and an exponential function can be expressed in logarithmic form.
[tex]( 1/36) = 36^{-1} = (6^{2})^{-1} = 6^{-1}[/tex]
[tex]Log_6( 1/36) = Log_6 6^{-2} = -2 Log_6 6[/tex]
We know that,
[tex]log_aa=1[/tex]
Therefore by applying the above rule of log we have
[tex]Log_6 6 = 1[/tex]
Therefore we get
[tex]-2 Log_6 6 = -2(1) = -2[/tex]
Therefore option 2 is correct.
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Answer:
2
Step-by-step explanation:
Use x = 2 to identify the value of each expression.
Exponent Value of expression
25
32
82
16
64
Answer:
25/2 = 12.5 32/2= 16 82/2= 41 16/2=8 64/2= 32
Step-by-step explanation:
If corect please give branlieist
Find five rational numbers between -3/5 and 5/3
Answer:
-8/15, -2/15, 1/5, 4/15 and 2/3.
Step-by-step explanation:
-3/5 = -9/15 and 5/3 = 25/15
So 5 rational numbers between these 2 values
= -8/15, -2/15, 3/15, 4/15 and 10/15
= -8/15, -2/15, 1/5, 4/15 and 2/3.
2(4y-9)=14 solve for y
Answer:
y = 4
Step-by-step explanation:
2(4y - 9) = 14
8y - 18 = 14
8y = 32
y = 4
Answer:
y = 4
Step-by-step explanation:
Simplifying
2[4y + -9] = 14
Reorder the terms:
2[-9 + 4y] = 14
[-9 * 2 + 4y * 2] = 14
[-18 + 8y] = 14
Solving
-18 + 8y = 14
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '18' to each side of the equation.
-18 + 18 + 8y = 14 + 18
Combine like terms: -18 + 18 = 0
0 + 8y = 14 + 18
8y = 14 + 18
Combine like terms: 14 + 18 = 32
8y = 32
Divide each side by '8'.
y = 4
Based on the figure, which of the following statements
CANNOT be proven?
Answer:
the final one
Step-by-step explanation:
to figure this equation out it is easier to add numbers to the angles
for 1 we can have it as 100 and for 2 we can have it as 80
that means 3 is 100 and 4 is 80
100 - 80 is also 100 - 80 so the first one can be proven
100 + 80 = 180 so the second one can be proven
80 = 80 so the third one can be proven
80 + 80 = 100 + 100 is not correct because it turns into 160 = 200 which is incorrect so the last one cannot be proven
Answer:
4th option : m∠1 + m∠3 = m∠2 + m∠4Step-by-step explanation:
By VOA theorem, vertically opposite angles are equal.
∠1 = ∠3∠2 = ∠4⇒ You can write : ∠1 + ∠2 = ∠3 + ∠4
⇒ or ∠4 - ∠1 = ∠3 - ∠2
⇒ The 4th option does not give it correctly
Sharon buys a bracelet for $12 plus a 6% tax. What is the total cost for Sharon?
The resting heart rate for a pig is about 100 beats per
minute.
A pig's resting heart rate is about 75 beats per minute
higher than an elephant's resting heart rate.
What is an elephants resting heart rate? Choose the correct equation and
answer.
O A. X+75 = 100
x = 25 beats per minute
O B. X+175 = 100
x= 75 beats per minute
O C. x+100 = 75
x = 175 beats per minute
O D. x+75 = 100
x= 175 beats per minute
Answer:
a
Step-by-step explanation:
pigs are 75 bpm more than elephants
so elephants are x + 75
and pigs are 100 bpm
so this means your answer is a
2.) If ZA = (20 – 2m)º and ZD = (m – 130°, what is the value of m?
Answer:
m = 50
Step-by-step explanation:
∠ D and ∠ A are vertically opposite angles and are congruent , then
m - 130 = 20 - 2m ( add 2m to both sides )
3m - 130 = 20 ( add 130 to both sides )
3m = 150 ( divide both sides by 3 )
m = 50
What is the measure of ∠E, rounded to the nearest degree?
28°
36°
54°
80°
Answer:
```30.
<30`
<98
<`36ok this is your answer....
What statistical technique should be used when testing for differences in the number of athletes and non-athletes in a college population
Answer:Chi-square is a nonparametric statistical procedure for nominal data.
Step-by-step explanation:
Hello, I need help with sample dpace
Answer:1/2 problability for both odd and same for evens.1/8 chance of spinning a 3 .25% chance of a 4 or 6.one eight of a chance of spinning a 7 or 1.part 2. a is false because the chance of spinning and odd is 50% and their is 3 numbers less than 4 .4 numbers would be a 50% chance to buts its not.b is true because he has a chance of spinning any number i think.c is true because there are 4 odd numers and 2 and 4 is half of 4
Step-by-step explanation:
answer this for 25 points and brainliest
Answer:
B
Step-by-step explanation:
For percentage, you take the percent symbol and move it two spaces to the left and make it a decimal, hence the .32 and then you multiply it by the integer you want to find the percent of, 130.
Answer:
0.32 x 130
Step-by-step explanation:
A percentage is out of 100;
32% = 32/100
32/100 = 0.32
32% of 130 is a multiplication problem (of : multiplication).
0.32 x 130 = 41.6
Solve -6x + 18 > -30
A. x < 2
B. x < 8
C. x > 8
D. x > 2
Answer: x < 8
P/s: if -1.x > -a => x < -a/-1
Ok done. Thank to me >:3
[tex] - 6x \: + \: 18 \: > \: - 30[/tex]
We move the term "+18" to clear the unknown of the inequality.[tex] - 6x \: > \: - 30 \: - \: 18[/tex]
We calculate the remainder.[tex] - 6x \: > \: - 48[/tex]
We divide both sides of the inequality by "-6" to solve for the unknown.[tex] \boxed{x \: < \: 8}[/tex]
Answer:[tex] \text{D.} \: \boxed{ \bold{x \: < \: 8}}[/tex]
MissSpanishPLSSSSSSSSS I REALLY NEED HELP DO I PUT A RAY HERE
Four racers are racing on a track.
Raheem covers 26% of the track, Lila covers 38 of the track, Khalid covers 0. 3 of the track, and Juanita covers 0. 24 of the track.
List the people in order by the distance on the track each person covers from least to greatest
Region R is bounded by the curves y = 4x^2 and y = 4. A solid has base R, and cross sections perpendicular to the y-axis are semicircles with the diameter lying in R. The volume of this solid is
A. pi/4
B. pi/2
C. pi
D. 2pi
Each cross section has a diameter equal the horizontal distance between the two "halves" of the parabola. We have
y = 4x² ⇒ x = ±√y/2
so the diameter for some given y would be √y/2 - (-√y/2) = √y.
The volume of a cross section with thickness ∆y is then
π/2 (√y/2)² ∆y = π/8 y ∆y
The total volume of the solid would then be
[tex]\displaystyle \int_0^4 \frac\pi8 y \, dy = \frac\pi8 \times \frac12 y^2 \bigg|_{y=0}^{y=4} = \boxed{\pi}[/tex]
This graph plots the number of wins last year and this year for a sample of professional football teams.
Based on the line of best fit, which is the BEST prediction for wins this year for a team that won 4 games last year?
A. 2
B. 4
C. 5
D. 7
Answer:
C.5, Because when you you add the line of best fit on the graph it goes through the 5 point right over 4 wins won last year.
Quantitative or qualitative
help pls I need this ASAP
Answer:
1. Quantitative data
2. Quantitative data
3. Qualitative data
4. Qualitative data
5. Quantitative data
6. Qualitative data
7. Quantitative data
8. Qualitative data
9. Quantitative data
10. Quantitative data
Step-by-step explanation:
Qualitative data usually answers the question "what kind". Quantitative data answers the question "how many" (or "how much" ).
Answer:
quantitative or qualitative
using law of indices
Answer:
1
Step-by-step explanation:
There are a couple of identities that come into play here:
a³ -b³ = (a -b)(a² +ab +b²)
(x^a)/(x^b) = x^(a-b)
(x^a)^b = x^(ab)
(x^a)(x^b) = x^(a+b)
_____
These mean we can simplify the expression as follows.
[tex]\left(\dfrac{x^{a}}{x^{b}}\right)^{a^2+ab+b^2}\times\left(\dfrac{x^{b}}{x^{c}}\right)^{b^2+bc+c^2}\times\left(\dfrac{x^{c}}{x^{a}}\right)^{c^2+ca+a^2}\\\\=x^{(a-b)(a^2+ab+b^2)}\times x^{(b-c)(b^2+bc+c^2)}\times x^{(c-a)(c^2+ca+a^2)}\\\\=x^{a^3-b^3}\times x^{b^3-c^3}\times x^{c^3-a^3}=x^{(a^3+b^3+c^3)-(a^3+b^3+c^3)}\\\\=x^0=\boxed{1}[/tex]
The expression has a value of 1.
__
Additional comment
For certain values of x and the exponents, the individual factors may exceed the ability of a calculator to express the value. That is, an attempt at numerical evaluation of this may produce a result different from 1. In any event, the expression is undefined for x=0.
Christopher determines the system of s(x) and t(x) has only one solution.Which system is Christopher solving?
Christopher is solving a system of equations that has one solution and can be seen in Option C.
What is a system of equations?A system of equations is more than one equation that can be solved together to get a unique solution. In this situation, the power of the equation must be in one degree.
A quadratic equation is an algebraic equation whose power is raised to the second degree.
However, if their power is not in one degree, they are regarded as a quadratic equation and it usually produces two solutions.
From the given options, we can see that only option c is not a quadratic equation, Hence, it is the right answer.
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What is the greatest common factor of 12xy^5 + 60x^4y^2 – 24x^3y^3??
О6xy^2
о6xy^5
o12xy^2
o3x^4y^5
Answer:
The greatest common factor of 12xy^5 + 60x^4y^2 – 24x^3y^3 is 12xy²
company
assumes each car in their fleet depreciates by
7% per year. If the initial value of a car is
$37,300.00, in how many years will the value
depreciate to $25,949.18?
Answer: 5 years
Step-by-step explanation:
A= P(1-r)^t
A= Depreciation value
P = Initial amount
r= rate = 7/100= 0.07
t= time
t= (Ln(A/P))/Ln(1-r)
= (Ln(25949.18/37300))/Ln(1-0.07)
t= 4.999 approximately 5 years
If (x - 3) 2 = 5, then
need help asap pleaseeeee
Answer:
x = 3 ± [tex]\sqrt{5}[/tex]
Step-by-step explanation:
(x - 3)² = 5 ( take square root of both sides )
x - 3 = ± [tex]\sqrt{5}[/tex] ( add 3 to both sides )
x = 3 ± [tex]\sqrt{5}[/tex]
Answer:
×=5.5
Step-by-step explanation:
exact form would be 11/5
and mixed form is 5 1/2
answeeerrrr ill give brainiest
The measure of angles are opposite angles where ∠2 = 37°'
What are the angles formed by 2 intersecting lines?Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.
Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.
When lines intersect, two angle relationships are formed:
Opposite angles are congruent
Adjacent angles are supplementary
Given data ,
Let the two intersecting lines be m and n
where the measure of ∠4 = 37°
When lines intersect, two angle relationships are formed:
Opposite angles are congruent
Adjacent angles are supplementary
So , the measure of ∠2 = ∠4
On simplifying , we get
The measure of angle ∠2 = 37°
Hence , the angle is ∠2 = 37°
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Help me please this is due in 30 mins!
The perimeter of a square is 68 feet. What is the length of one of its sides? Explain your work.
Answer:
17 feet
Step-by-step explanation:
Since a square has 4 sides, you have to do 68 / 4 to find one of the sides.
68/4 = 17
And to check, if you add up all sides...
17+17+17+17 = 68
nidarians include all of the following EXCEPT:
A. snails
B. jellyfish
C. sea anemone
4. Prove that the two figures in the graph below are similar.
4c-5=2c-9
I can’t solve this
Answer:
-2
Step-by-step explanation:
4c-5=2c-9
2c= -4
c= -2
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{SOLVING FOR THE C-VALUE}\downarrow[/tex]
[tex]\mathsf{4c - 5 = 2c - 9}[/tex]
[tex]\large\text{SUBTRACT 2c to BOTH SIDES}[/tex]
[tex]\mathsf{4c - 5 - \bold{2c} = 2c - 9 - \bf 2c}[/tex]
[tex]\large\text{SIMPLIFY IT!}[/tex]
[tex]\mathsf{ 2c - 5= -9}[/tex]
[tex]\large\text{ADD 5 to BOTH SIDES}[/tex]
[tex]\mathsf{ 2c - 5 + \bold{5} = -9 + \bf 5}[/tex]
[tex]\large\text{SIMPLIFY IT!}[/tex]
[tex]\mathsf{2c = -4}[/tex]
[tex]\large\text{DIVIDE 2 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{2c}{\bf 2} = \dfrac{-4}{\bf 2}}[/tex]
[tex]\large\text{SIMPLIFY IT!}[/tex]
[tex]\mathsf{c = -2}[/tex]
[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{c = -2}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The circumference of a circle is 19π cm. Find its diameter, in centimeters.
Answer:
d = 19 cm
Step-by-step explanation:
Circumference of circle = πd
πd = 19π
d = 19π ÷ π
d = 19 cm
d=19 cm
Solution:Circumference=C=πdπ=3.14d= diameterWe are given the circumference, in terms of pi:C=19πC=πdTherefore, the diameter is equivalent to 19.Hope it helps.
Do comment if you have any query.
GIVE AWAY PLEASE TAKE IT
Answer:
I guess, as long as this is an act of kindness. Thanks?
Answer:
x=7
Step-by-step explanation:
Solution of your latest question
because i can't get any answer option there ....so posting it heree .....
hope you get it before it got deleted
The point (-1,4)is translated five units right and three units down.which rule describes the translation
Answer:
(x, y ) → (x + 5, y - 3 )
Step-by-step explanation:
5 units right means add 5 to the x- coordinate
3 units down means subtract 3 from the y- coordinate
the translation rule is
(x, y ) → (x + 5, y - 3 )