Note: Consider the base of all is 3 instead of comma.
Given:
Consider the given value is [tex]\log_37=1.77[/tex].
To find:
The value of [tex]\log_363[/tex].
Solution:
Using properties of logarithm, we get
[tex]\log_363=\log_3(9\times 7)[/tex]
[tex]\log_363=\log_3(3^2\times 7)[/tex]
[tex]\log_363=\log_3(3^2)+\log_3(7)[/tex] [tex][\because \log ab=\log a+\log b][/tex]
[tex]\log_363=2+ \log_3(7)[/tex] [tex][\because \log_aa^x=x][/tex]
[tex]\log_363=2+1.77[/tex] [tex][\because \log_37=1.77][/tex]
[tex]\log_363=3.77[/tex]
Therefore, the value of [tex]\log_363[/tex] is 3.77.
Applying logarithm properties, it is found that:
[tex]\log_3{63} = 3.77[/tex]
We want to find [tex]\log_3{63}[/tex], considering that [tex]63 = 7 \times 9 = 7 \times 3^2[/tex], we have that:
[tex]\log_3{63} = \log_3{(7 \times 3^2)}[/tex]
The first property applied is:
[tex]\log{a \times b} = \log{a} + \log{b}[/tex]
Hence:
[tex]\log_3{63} = \log_3{(7 \times 3^2)} = \log_3{7} + \log_3{3^2}[/tex]
The next property is:
[tex]\log_a{a^b} = b[/tex]
Hence:
[tex]\log_3{7} + \log_3{3^2} = 1.77 + 2 = 3.77[/tex]
A similar problem is given at https://brainly.com/question/2620660
What rule would you allow to test weather (x,y) is on line l
Answer:
Step-by-step explanation:
If a point (x, y) lies on a straight line, coordinates of the point will satisfy the equation.
Slope of a line passing through two points C(4, 5) and D(8, 10),
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{10-5}{8-4}[/tex]
m = [tex]\frac{5}{4}[/tex]
Equation of the line passing through C(4, 5) and slope m = [tex]\frac{5}{4}[/tex]
y - y' = m(x - x')
y - 5 = [tex]\frac{5}{4}(x-4)[/tex]
y = [tex]\frac{5}{4}x-5+5[/tex]
y = [tex]\frac{5}{4}x[/tex]
If point B(4, 0) lies on the line CD,
0 = [tex]\frac{5}{4}(4)[/tex]
0 = 5
Which is not true.
Therefore, point B doesn't lie on line CD.
Lee is selling spirit wear for a fundraiser hats cost $8 and shirts $12 lee sold $272 worth of spirit wear in the first month. If lee sold a total of 28 items how many hats did Lee sell
Lee sold 16 hats.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Cost of 1 hat= $8
Cost of shirt = $12
Total cost of spirit wear= $272
let the number of hats sold be x
and, let the number of shirts sold be y
So, 8x+ 12y= 272
and, x+ y= 28
Solving the above equations we get
8(28- y) + 12y= 272
224 - 8y + 12y = 272
4y = 48
y = 12
and x= 28- 12 = 16
Hence, Lee sold 16 hats.
Learn more about equation here:
https://brainly.com/question/10413253
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Triangle FED is the image of triangle ABC. Angle A corresponds with which angle?
A) D
B) E
C) F
D) none of the above
Answer:
C) F
Step-by-step explanation:
If you flip triangle ABC across the y-axis and slide it over top of triangle FED then you can see that angle A corresponds with angle F.
please help me.. if you could explain too that would be great.
Answer:
11 is A
13 is 22
15 is 30
I THINK
SHOW WORK PLEASE!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
add hen sub ten bom anwwerWhat is the point-slope form with the slope -6 and the line through (1,-4)?
Answer:
y-(-4)=-6(x-1)
its is either (x-1), or (x+1). Im not sure on the last part
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
Miranda goes shopping for some new cowgirl boots to wear for her concert. She finds some that are $225.60, and they are on sale for 80% of the original cost. How much will she pay for the boots?
Answer:
$180.48
Step-by-step explanation:
225.60 * .8 = 180.48
Answer:
$45.12
Step-by-step explanation:
100 - 80 = 20
225.60 x .20 = $45.12
i’ll mark brainliest i guess
Answer:
c
Step-by-step explanation:
21.35/7 is 3.05 and that is gas station a which is cheaper than 3.08
The owner of a used car lot wants to buy as many cars at an auction as he can while not spending more than $20,000. if he expects the average price to be $4000, how many would he expect to be able to buy?
Answer:
5 cars
Step-by-step explanation:
If the average of cost of a car is $4,000 there will be enough cash to buy 5 cars. 20,000 divided by 4,000= 5.
PLEase Hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Mr. Ash owns a tree, which is 42 feet tall. He estimates that this tree is 75% as tall now as it will be when fully grown. How tall will the tree be when it is fully grown?
Answer: 56
Step-by-step explanation: Divide 42 by 3 and then multiply by 4
What is the value of n of this data? Type a numerical answer in the space provided. Do not type spaces or decimals in your answer.
3, 12, 15, 25, 30, 40
Answer:
The value of n for this data is 6
Step-by-step explanation:
The given data is:
3, 12, 15, 25, 30, 40
In a set of given data, n is used to represent the number of values in a dataset. The values are also called observations. Hence, the total number of observations in a dataset are denoted by n.
In the given dataset, total values are 6.
So,
n = 6
Hence,
The value of n for this data is 6
What is 2.31 of 5.02
Answer:
11.5962
Step-by-step explanation:
2.31 of 5.02
In mathematics, saying "of" is the same as multiplying the two values, hence the problem is;
2.31 * 5.02
= 11.5962
Answer please
please please please
Answer:
3.25
Step-by-step explanation
Answer: 3.25
Step-by-step explanation:
Find the limit !!!!!!
Answer:
1/8.
Step-by-step explanation:
Use l'Hopitals rule - we find the derivative of top and bottom of the fraction.
Derivative of the numerator = 0 - 1/2 (16 - x)^-1/2 -1
= 1 / [ 2 * (16 - x)^1/2
Derivative of the denominator = 1
When x approaches 0 this is 1 / (2*4)
= 1/8.
Another way to do this is to multiply top and bottom by 4 + (16 - x)^1/2
This becomes 16 - (16 - x) / x(4 + (16-x)^1/2)
= 1 / (4 + (16 + x)^1/2
When x ---> 0
this = 1 /(4 + 4)
= 1/8.
1. What is the value of this expression when c = 4?
4C+ 3c- 2c
Answer:
20
Step-by-step explanation:
4(4)+3(4)-2(4)=20
I attached a file pls answer quick i gotta sleep
Answer:
P(2, 3.5)Step-by-step explanation:
If P partitions AB in the ratio 1:1, then P is the midpoint of AB
Using midpoint formula to find its coordinates
A = (1, 2), B = (3, 5) as per graphFinding P:
P = ((1+3)/2, (2+5)/2) = (2, 3.5)Rectangles P, Q, R, and S are scaled copies of one another. For each pair, decide if the scale factor from one to the other is greater than 1, equal to 1, or less than 1. Four rectangles, labeled P, Q, R and S. Each rectangle is a scaled copy of one another. Ranked in order from least to greatest, the area of the rectangles are as follows: the area of P is equal to S, which are less than the area of Q, which is less than the area of R. From P to Q from P to R from Q to S from Q to R from S to P from R to P from P to S
I attached a diagram that will aid the understanding of the question.
Firstly, I would love to review what a scale factor is before going into the question.
If you have two shapes that are similar, that is they have corresponding angles, then the scale factor of one to the other is simply the ratio of any two corresponding lengths in the two similar geometric figures.
Looking at these figures in the question, we see that R is an enlargement of the other rectangles while Q is an enlargement of P and S. With this information we can answer the questions:
1. From P to Q, the scale factor greater than one because Q is bigger than P.
2. From P to R, the scale factor is greater than one for the same reason.
3. From Q to S, the scale factor is less than one because S is smaller than Q.
4. From Q to R, the scale factor is greater than one because R is bigger than Q.
5. From S to P, the scale factor is equal to one because they are equal.
6. From R to P, the scale factor is less than one because p is smaller than R.
7. From P to S, the scale factor is equal to one because they are equal.
Misaki cut some wood for a bookcase she is building.She needs to find how many 13 ft boards she can make from a 5 ft board.Explain how to model with fraction bars to solve the problem.
Complete question :
Misaki cut some wood for a bookcase she is building.She needs to find how many 1/3 ft boards she can make from a 5 ft board.Explain how to model with fraction bars to solve the problem
Answer:
15
Step-by-step explanation:
Total Size of board = 5 feets
Size of board to be made = 1/3 feets
Number of 1/3 feets board to be made from 5 feets board :
Total size of board / size of board to be made
5 feets ÷ 1/3 feets
5 feets * 3 / 1 feets
= 15
Hence, number of 1/3 feets board that can be made from 5 feets board = 15
pls heeelp i dont want to fail
the domain, range, and x-intercept of a one-to-one function are shown.
Bob can do a job in 5 hours while Bill can do the same job in 8. How many hours would it take them, working together, to do this job?
plesa heap
Answer:
It would take either 13 hours, or there is not enough informatino to solve this problem.
Answer:
It would take them 13 hours to work together on the job.
Step-by-step explanation:
Just add 5 hours + 8 hours.
Ignore the 1 and the 2. That’s just where you put your answer.
Answer:
4500000
40
Step-by-step explanation:
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In the equation, we are told that d(t) = 300,000t, where t is the time in seconds and d(t) is the distance in kilometers.
1. In this part of the question, it asks for the distance after 15 seconds. To solve we plug 15 in for t.
d(t) = 300,000(15)
d(t) = 4500000 kilometers
2. In this part of the question, it is asking for time after going 12,000,000 kilometers (twelve million). To solve, we solve for t by dividing 300,000.
12,000,000 = 300,000(t)
40 = t
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#teamtrees #WAP (Water And Plant)
Nothing but slope.................
Answer:
1. 1
2. 3
3. 4
Step-by-step explanation:
Simplify. 8(2x - 3) + 11x
Answer:
27x-24
Step-by-step explanation:
Using distributive property, we can simplify 8(2x-3) to 16x-24. That becomes 16x-24+11x.
Then, we can add 16x and 11x to get 27x.
The answer will be 27x-24.
I hope you found this helpful, and if it was, please mark this answer as brainliest! Thank you! :)
PLEASE HELP ME. due in a few minutes!!
Answer:
slove is 1
Step-by-step explanation:
if you distribute you get g(x)= x+4
the number invisivble in front of x is 1
Solve: -6y+2(y-6)=12
answer: = -6 mark me brainly
Answer:
Step-by-step explanation:
distribute
=
−
6
Shayla bought 24 cupcakes. Each cupcake cost $0.35, including tax. Of the cupcakes she bought, 2 3 2 3 were vanilla, 1 12 1 12 were chocolate, and the rest were strawberry. What was the total cost of only the vanilla cupcakes?
Answer:
[tex]Vanillas = \$5.6[/tex]
Step-by-step explanation:
Given
[tex]Cup\ Cakes = 24[/tex]
[tex]Cost = \$0.35[/tex] (each)
[tex]Vanilla = \frac{2}{3}[/tex]
[tex]Chocolate = \frac{1}{2}[/tex]
Required
Determine the cost of all vanilla cupcakes
First, we need to determine the number of vanilla cakes.
This is calculated by multiplying the fraction of Vanilla by number of cupcakes
So:
[tex]Vanilla = \frac{2}{3} * 24[/tex]
[tex]Vanilla = \frac{2 * 24}{3}[/tex]
[tex]Vanilla = \frac{48}{3}[/tex]
[tex]Vanilla = 16[/tex]
Since 1 cupcake costs $0.35.
16 would cost 16 * $0.35
So:
Vanillas: ;;;;; [tex]16 * \$0.35 = \$5.6[/tex]
You are given $40 to buy some groceries. As you put
items into the cart, how will you decide how many you
can buy?
Answer:
Use a calculator to add the cost of each item but don’t forget that there is tax!!
Step-by-step explanation:
Answer:
Use a calculator to add the cost of each item but don’t forget that there is tax!!
and usually is 15% of what is the total cost of each item without tax.
Step-by-step explanation:
me need help. xjjd j dsj
Answer:
$4.67
Step-by-step explanation:
John + 2 friends = 3
Total cost = $14
$14/3 = $4.6666
$4.6666 ---> $4.67
Consider Brainliest! Hope I helped!
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