Answers
9514 1404 393
Answer:
(2ac+1)/(abc+2c+1)
Step-by-step explanation:
It helps to understand the factoring of the numbers involved.
63 = 3²·7
140 = 2²·5·7
The "change of base" formula is also useful.
[tex]\log_b{a}=\dfrac{\log{a}}{\log{b}}[/tex]
__
Using this, we can write ...
a = log(3)/log(2) ⇒ log(3) = a·log(2)
b = log(5)/log(3) ⇒ log(5) = b·log(3) = ab·log(2)
c = log(2)/log(7) ⇒ log(2) = c·log(7)
This lets us write everything in terms of log(7):
log(2) = c·log(7)
log(3) = ac·log(7)
log(5) = abc·log(7)
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The desired logarithm is ...
[tex]\log_{140}{}63=\dfrac{\log{63}}{\log{140}}=\dfrac{2\log{(3)}+\log{(7)}}{2\log{(2)}+\log{(5)}+\log{(7)}}\\\\=\dfrac{2ac\cdot\log{(7)}+\log{(7)}}{2c\cdot\log{(7)}+abc\cdot\log{(7)}+\log{(7)}}\\\\\boxed{\log_{140}{63}=\dfrac{2ac+1}{abc+2c+1}}[/tex]
_____
The attachment is a numerical check of this result.
Related Questions
Dane sold a television for$35000 He was paid paid $1,750 in commission for his sale. At what rate was he paid commission for the television?
Answers
2x - 3 + 23 + 128= 180
Answers
Answer:
x = 16
Step-by-step explanation:
2x - 3 + 23 + 128= 180
Combine like terms
2x+148 = 180
Subtract 148 from each side
2x+148-148= 180-148
2x =32
Divide by 2
2x/2 =32/2
x = 16
Answer:
X=16
Step-by-step explanation:
Combine like terms so 3+23+128= 148
Rewrite: 2x + 148= 180
Next subtract 148 from both sides
2x + 148 (-148) = 180 (-148)
Cancel out 148 and you get 2x=32
Divide by 2
2x = 32
2 2
x= 16
Hope this helped have a wonderful day!! <3 :))
Which of the binomials below is a factor of this trinomial? x2 + x-20
Answers
Answer:
the answer is c.x-4
Step-by-step explanation:
x^2+x-20
x^2+5x-4x-20
x(x+5)-4(x+5)
(x-4) (x-5)
WILL GIVE BRANLIEST !!
A bag contains 7 red marbles, 8 blue marbles, and 5 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that all three marbles drawn will be red?
Answers
Answer:
0.031
Step-by-step explanation:
The probability of the first marble being green is 7/20, the second marble, 6/19, and the third, 5/18.
7/20 x 6/19 x 5/18=
0.03070175438
or rounded to
0.031
Hope this helps!
:)
Use substitution to solve the
following system of equations.
- 4y - 5x = 30 AND x= y + 3
Answers
Answer:
The solution to the system of equations is y = -5 and x = -2.
Step-by-step explanation:
The question tells us to use substitution to solve the system. This means that the given value for x (in terms of y) should be substituted into the other equation. This is modeled below:
-4y - 5x = 30
-4y - 5(y+3) = 30
Next, we should use the distributive property to simplify the left side of the equation.
-4y -5y - 15 = 30
The next step is to combine like terms on the left side of the equation.
-9y - 15 = 30
Then, we can add 15 to both sides of the equation.
-9y = 45
Finally, we can divide both sides of the equation by -9.
y = -5
To find the value for x, we substitute in the value we just found for y into either of our original equations.
x = y + 3
x = -5 + 3
x = -2
Therefore, the correct answer is y = -5 and x = -2.
Hope this helps!
A sum of money is shared in the ratio of 2: 5 between Mark and Peter, respectively. If Mark got $200, how much money did Peter receive?
Answers
Answer:
Step-by-step explanation:
Set this up as a proportion of M:P
[tex]\frac{M}{P}:\frac{2}{5}=\frac{200}{x}[/tex] and cross multiply to solve for x:
2x = 1000 so
x = 500. Peter got $500
PLS ANSWER ASAP DUE AT 9:20
Answers
Answer:
option B
Step-by-step explanation:
[tex]16x + 20y = (4 \times 4x) + (4 \times 5y) = 4 \times (4x + 5y)[/tex]
What is the length of the radius, r?
Answers
Answer:
half the length of diameterStep-by-step explanation:
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Question 17 of 33
Which of the following terms best describes a group of equations in which at
least one equation is nonlinear, all of the equations have the same variables,
and all of the equations are used together to solve a problem?
A. System of linear inequalities
B. System of nonlinear equations
C. System of linear equations
D. System of nonlinear inequalities
Answers
Answer:
C
Step-by-step explanation:
i took the test
Which graph shows a polynomial function of an even degree?
Answers
the answer is the first graph, A
Brainliest, 10 points
Answers
Answer:
first option is correct.
Step-by-step explanation:
Answer:
C. -16a(5)b³c²
3. What are the features of an Informative Text?
a. topic sentence, supporting details and clinching sentence
b. introduction, body and conclusion
c. unity, completeness, coherence and emphasis/order
d. informal and incomplete
Answers
keenan got 13/25 for his mathematics test write down two equivalent fractions for this mark
Answers
You’re welcome :)
A jar of marbles has three blue marbles, four red marbles, and two green marbles, what is the possibility of drawing a marble that is green or not red?
1/3
4/9
5/9
2/3
Answers
Answer:
5/9
Step-by-step explanation:
There are 9 marbles total (3+4+2). There are 2 green marbles and 3 blue marbles (not red). The total fraction will be 5/9.
Question
The average of 10 numbers in a list is 16. If two of the numbers in the list are each increased by 5, by how much will the average of the 10 numbers in the list be increased?
[please help]
Answers
Answer:
Step-by-step explanation:
Lets understand what the question says:-
Mean or average in a list=16
Total sum of observations= x
Equation:-
x/10=16
x=160
If 2 numbers are increased by 5 that means
New sum of observations=160+10=170
Therefore,
New average or new mean=170/10=17
Therefore the average gets increased by 1
John spends 22% of his monthly budget on his car payment, which is $400. Which proportion can be used to calculate John’s total monthly budget?
Answers
Answer:
...
5 days ago — John spends 22% of his monthly budget on his car payment, which is $400. Which proportion can be used to calculate John's total monthly
a server received these tips in a given week. how much were her total tips?
Monday-$40.50
Tuesday-$32.95
Wednesday-$44.78
Thursday-$56.94
Friday-$80.42
Answers
EXPLANATION:
“Total tips” means the total of each tip the server received each day:
Add all the money.
SEE IMAGE ATTACHED:
All the money added equals to $255.59
Hope this helps!
-SpaceMarsh
A recipe ofr one cookie requires 3/4 cups of sugar. If Joes has all the other ingreidiants he needs for an endless supply of cakes, how many ckaes can he make if he has a bag of 6 cups of sugar?
Answers
Answer:
ok is this a troll
Step-by-step explanation:
the cake doesnot correspond to the cookie
Which trigonometric ratio is correct?
O
tanA= opp/adj
sinA= adj/opp
COSA= opp/hyp
sinA= opp/adj
Answers
Answer:
tanA = opp/adj
Step-by-step explanation:
In a survey of 3,500 people who owned a certain type of car, 1,225 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answers
So move the decimal to the right 2 places & that gives you 35% of the people were satisfied with the car.
I would not buy that car!
69 POINTS! Answer these 2 questions in the attachment for brain list and 69 points
Answers
Answer:
Q1: I forgot measure of center but I think mean Q2: D
Step-by-step explanation:
What is the smallest perimeter a rectangle of area 12 cm can have?
A.12 cm
B.14 cm
C.16 em
D.26 cm
Answers
Answer:
14 cm
Step-by-step explanation:
The maximum area of a rectangle (actually square) with a perimeter of 14 can have is 12.25 cm². So the smallest perimeter a rectangle of 12 cm² i just a little below 14 cm, namely 4sqrt(12) = 13.86 cm.
A bank account has an initial deposit of $14,000. After 8 years, the bank account
has $18,000. Assuming that compounding interest is done annually and that no
withdrawals are taken, find the annual interest rate on the investment. If the interest is compounded annually what is the approximate interest rate on the investment?
Answers
Answer:
2.3%
Step-by-step explanation:
18000 = 15000( 1 + i)^8
Divide both sides by 15000
1.2 = (1 + i)^8
Take both sides to the 1/8 power
1.2^(1/8) = 1 + i
1.023051875220463 = 1 + i
Subtract 1 from both sides
i = 0.023051875220463
~ 2.3%
A farmer stores chicken feed in cartons. Together, 3 cartons hold 9 cubic feet of space in all. How many cartons does the farmer need to store a total volume of 72 cubic feet of chicken feed?
Answers
Answer:
45
Step-by-step explanation:
because 3 x 9 is 27 and then your gonnna want to subtract 72 and 27 and that really how i got 45 by multiplication and subtraction sorry if it wrong
Billy has 1 gallon of paint. He is going to pour it into a paint tray that measures 10 inches wide, 14 inches long, and 4 cm deep.
(1 gallon = 231 inches cubed , 1 inch = 2.54 cm)
Which of the following scenarios will happen?
Answers
Answer:
The paint will not fill the tray by 10.53 in3.
Step-by-step explanation:
Length = 14 inches
Width = 10 inches
Depth = 4 cm = 1.57 inches
Volume = length x width x depth
Volume = 14 x 10 x 1.57
= 220.47 inches cube
Volume of Gallon = 231 inches cube
Answer correctly please !!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
[tex]v=s^2h/2[/tex]
[tex]v=12.4(5)/3[/tex]
[tex]v=20.7~ft^3[/tex]
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hope it helps...
have a great day!!
Convert 60 degrees to Radians.
Answers
Write a statement to compare the Theoretical and Experimental Probabilities .
Answers
Answer:
Hello!
Step-by-step explanation:
Theoretical probability is what's expected to happen
Experimental probability is what's happen based on the experiment
Daisy gets 20 cats delivered to her shelter in the last month She expects to get 20 this month based on the theoretical probability but she actually gets 15 cats this month so her theoretical probability was 5 more then her experimental probability Hope that helps!
6x-27=-3x
solve for x:D
Answers
Answer:
6×-27=-3×
+3×
9/9×=27/9
×=3
which of the folowing could be the equation for a parabola that opens to the left with vertex (-17, 2)
Answers
Answer:
x = a(y+17)^2 + 2 where a < 0
Step-by-step explanation:
Since the parabola is horizontal, the formula of the parabola is x = a(y-h)^2 + k where (h,k) is the vertex.
Since it opens to the left, a must be negative. The vertex is (-17, 2), so h = -17 and k = 2.
Substituting these in, we find that the equation is
x = a(y+17)^2 + 2 where a is a real number that is less than 0 (i.e. negative)
I hope this helps! :)
