Given:
[tex]\log_{a}(3) = 0.477,\log_{a}(5) = 0.699[/tex]
To find:
The value of [tex]\log_{a}(0.6)[/tex].
Solution:
We need to find the value of:
[tex]\log_{a}(0.6)[/tex]
It can be written as
[tex]\log_{a}(0.6)=\log_a\left(\dfrac{6}{10}\right)[/tex]
[tex]\log_{a}(0.6)=\log_a\left(\dfrac{3}{5}\right)[/tex]
By using the property of logarithm, we get
[tex]\log_{a}(0.6)=\log_a(3)-\log_a(5)[/tex] [tex][\because \log \dfrac{a}{b}=\log a-\log b][/tex]
[tex]\log_{a}(0.6)=\log_a(3)-\log_a(5)[/tex]
On substituting the given values, we get
[tex]\log_{a}(0.6)=0.477-0.699[/tex]
[tex]\log_{a}(0.6)=-0.222[/tex]
Therefore, the values of [tex]\log_a(0.6)[/tex] is -0.222.
1.
Given the two equations:
y + x = 5
y-2x = -1
i)
Draw the graphs of both equations on the same pair of axes by using a scale of 1cm to
represent 1 unit on both axes.
Use your graph to determine the point of intersection.
Answer:
The point of intersection is at (2,3)
Step-by-step explanation:
What’s the answer to this
Answer:
Step-by-step explanation:
Use angle bisector theorem
(3x-3)/5x = 24/44
Solve:
x= 6
The value of t varies directly with w. When t = 32, the value of w = 56. What is the value of w when t = 92? A 116 B 126 C 161 D 182
Answer:
(D). 182
Step-by-step explanation:
did the math
What percentage of the pieces was he missing if he had 250 puzzle pieces and was missing 15 What percentage of the pieces was he missing
Answer:
Percentage of missed puzzle pieces = 6%
Step-by-step explanation:
Total number of puzzle pieces = 250
Missed puzzle pieces = 15
Percentage of the missing puzzle pieces = [tex]\frac{\text{Missed puzzle pieces}}{\text{Total number of puzzle pieces}}\times 100[/tex]
= [tex]\frac{15}{250}\times 100[/tex]
= 15 × 0.4
= 6%
Therefore, percentage of missed puzzle pieces = 6%
Peter determined the area, in square miles, of a piece of land using his calculator. The result of his calculation is displayed on his calculator in scientific notation as 7.4e – 4.
Which statement is true of the area of the piece of land?
Answer:
The true statement of the area of the piece of land is;
(C) It is between 0.0007 and 0.007 square mile
Step-by-step explanation:
Using scientific notation, we have the value of a measurement presented as follows;
c × 10ⁿ = ce±n
Where;
c = The coefficient number, less than 10
en = 1 × 10⁺ⁿ
e-n = 1 × 10⁻ⁿ
Therefore, the given number, 7.4 e - 4, can be expressed as follows;
7.4 e - 4 = 7.4 × 10⁻⁴ = 0.00074
0.00074 ≈ 0.0007 and we have;
0.0007 < 0.00074 < 0.007
The correct option is therefore that it is between 0.0007 and 0.007 square mile
The statement that is true of the area of the piece of land is that it is between 0.000074 and 0.00074
The standard form for writing scientific notation is given as A * 10^n
Given the result of his calculation displayed on his calculator in scientific notation as 7.4e^-4.Writing this as a standard value will give:
7.4e^-4 = 0.00074 (Note that the decimal point was shifted back in four placsHence the statement that is true of the area of the piece of land is that it is between 0.000074 and 0.00074
Learn more on scientific notation here: https://brainly.com/question/13526198
Overview
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3
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5
6
7
ag
8
11
12
15
Question Progress
WA
Oilsee
Homework Progress -
26 / 28 Marks
D
S
Here is a list of numbers:
20 29 30 33 37 40
41
46
50
Use four of the numbers to make a sequence and describe the rule
for continuing your sequence.
I
equences - Term-to-Term Rule
Overview
0
Answer:
20 292 02 202 202
Step-by-step explanation:
y = r + 1
4y = 40 + 4
Answer:
Step-by-step explanation:
Move all terms that don't contain
x
to the right side and solve.
x
=
20
−
2
y
Answer:
r = 10
y = 11
Step-by-step explanation:
4y = 40 + 4
4(r + 1) = 40 + 4
4(r) + 4(1) = 40 + 4
4r + 4 = 40 + 4
4r + 4 = 44
4r + 4 - 4 = 44 - 4
4r = 40
4r ÷ 4 = 40 ÷ 4
r = 10
-----------------------------------------
y = r + 1
y = (10) + 1
y = 11
-----------------------------------------
4y = 40 + 4
4(11) = 40 + 4
4(11) = 44
44 = 44
What is the equation of the line that passes through the point (1,3)(1,3) and has a slope of 66?
Answer:
The equation of the line that passes through the point (1,3) with a slope of 66
is
y=66x-63
Please can you help me
Answer:
0.5 (or 0.50)
Step-by-step explanation:
So we have 6, 12, and 6.
Add them all together to get 24
12 of the skittles are green, so find the percentage/decimal.
12/24 = 0.5 (or 50%)
The data shows the ages of some hospital nurses. 33, 35, 23, 39, 23, 24, 34, 21, 57, 45, 57, 60, 45, 24, 31, 42, 61, 45, 35, 38 3. Make a line plot of the data. What age occurs most often?
Answer:
The age which occurs most often is 45 with a frequency of 3
Step-by-step explanation:
Given the data :
33, 35, 23, 39, 23, 24, 34, 21, 57, 45, 57, 60, 45, 24, 31, 42, 61, 45, 35, 38
Using the line graph plotter
HELP!!!! At approximately what value of x do the two lines meet?
At value of x=4
What is coordinate of a point?
A pair of numbers that describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines are called coordinates. General form of coordinate is (x, y)
From the graph we can see , coordinates of that point where both the lines are intersecting is (4, -3)
Because x coordinate is = 4
and y coordinate is = -3
At the value of x=4, the two lines intersect each other
Learn more about coordinate system :
https://brainly.com/question/4726772?referrer=searchResults
#SPJ2
PLS HELP ASAP! GIVING BRAINLY
Answer:
Answer is
option B.
3a+2
Is this right please help me
Answer:
there's nothing there you have to insert a file
Step-by-step explanation:
PLEASE HELP PLEASEEEEE
Answer:
pi r^2 h/3, height =6, r=10, 100*6=600pi/3=200pi
Question 42 points)
Tell whether the triangles
are similar.
Yes or No
Answer:
yes
Step-by-step explanation:
Answer:
yes. 81+51+48 = 180
I hope this helps
What is a name for the marked angle?
A: CAD
B: CDA
C: FAB
D: FDA
Answer:
A.) Angle CAD
Step-by-step explanation:
Hope this helps! :)
Is this triangle a AA SAS or SSS or Not Similar
PLS HELP PLS PLS
Answer:
AA (similar)
Step-by-step explanation:
<Q = <U
64 + 37 = 101°
180 - 101 = 79°
<S is a reflexive angle, congruent on both sides.
AA similarity
During hockey season, Pete scored goals on 15% of the shots he took. If he scored 75 goals, how many shots did he take?
Answer:
86 shots
Step-by-step explanation:
There are 5 red and 3 black balls in a bag. Find the probability of drawing a black ball.
Answer:
5 : 3 (8 total)
3/8 or 0.375 or 37.5%
Answer:
the probability of drawing a black ball Pr( B)=3/8
Step-by-step explanation:
The total number of balls =5+3
=8
probability of drawing a Red ball=Pr(R)
=5/8
probability of drawing a Black ball=Pr(B)
=3/8
Send me the answers
Answer:
sending you my book i answered it
Step-by-step explanation:
Answer:
DEEZNUTZ
Step-by-step explanation:
URMOM
Solve the inequality for y
Answer:
12
Step-by-step explanation:
[tex]6y \geqslant 72 \\ divide \: both \: side \: by \: 6 \\ y \geqslant \frac{72}{6} \\ y \geqslant 12[/tex]
Answer:
6y > 72
Inequality Form: y > 12
Interval Notation: (12,infinite loop)
I have answered have a good day.
11 is 62% of what number? Round to the nearest tenth.
Answer:17.74
Step-by-step explanation:
Combine the like terms to create an equivalent expression 10k + 4k
Answer:
14k
They both have the same variable, so use the communitive property and there is your answer!
solve the system of equations by adding. checking your answer
2x+2y=2
3x-2y=43
the solution of the system is ( , )
Answer:
Step-by-step explanation:
This is very easy, because the coefficients of the y terms are 2 and -2. You can easily eliminate the y terms by adding the equations together:
2x + 2y = 2
3x - 2y = 43
-----------------
5x + 0y = 45, so x = 9
Use the value of x to solve for y:
2(9) + 2y = 2
y = -8
(x,y) = (2, -8)
what is x and y? help
HELP HELP HELP HELP
Pythagorean Theorem -
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {14}^{2} + {13}^{2} = {x}^{2} [/tex]
Simplify the expression!
[tex]365 = {x}^{2} [/tex]
Find x alone.
[tex]x = \sqrt{365} [/tex]
This alone is already simplified, so this is the answer.
Answer: Square Root Of 365
Answer:
19.10 is the answer to the question
Legends will get a heart ❤️ if they get this right
Answer:
3a. Angles q,r, and u are 105 degrees.
b. Angles p,s, and t are 75 degrees.
Step-by-step explanation:
Vertical angles, or angles that are across from each other, are congruent, meaning they are the same angle. When you shrink it, its angles are still the same.
Hope this helps:)
Given acd and abe, what is ab?
Answer:
AB = 8
Step-by-step explanation:
Using the similarity theorem of a triangle;
AC/AD = AB/AE
AC = AB + BC and AD = AE + ED
AB + BC/AE + ED = AB/AE
Substitute the given values
AB+12/15 = AB/6
Cross multiply
6(AB+12) = 15AB
6AB + 72 = 15AB
15AB - 6AB = 72
9AB = 72
AB = 72/9
AB = 8
this is algebra 1 please find the answer to this problem.
Answer:
3.) it is a quadratic
4.) it is an absolute function
Step-by-step explanation:
3 has an exponent
4 has absolute values in it
Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line
with a slope of 5.7. See the figure below.
With 46 gallons of fuel in its tank, the airplane has a weight of 2162.2 pounds. What is the weight of the plane with 18 gallons of fuel in its tank?
Answer:
total plane weight with 82gallons fuel is 2424.80 lbs.