The equations best verifies the reasonableness of the solution will be log₃ 2187 = 7 and log₃ (3⁷) = 7. Then the correct options are A and E.
What is a logarithm?Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.
The equation is given below.
log₃ x = 7
Take anti-log on both side, then we have
x = 3⁷
x = 2187
Then the equation is satisfied by 2187. Then we have
log₃ 2187 = 7
log₃ (3⁷) = 7
Then the correct options are A and E.
The complete question is attached below.
More about the logarithm link is given below.
https://brainly.com/question/7302008
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What is the highest common factor of 36 and 56???
Answer:
4
Step-by-step explanation:
Greatest common factor (GCF) of 36 and 56 is 4.
Step-1: Prime Factorization of 36
Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:
36 = 2^2 × 3^2
Step-2: Prime Factorization of 56
Prime factors of 56 are 2, 7. Prime factorization of 56 in exponential form is:
56 = 2^3 × 7^1
Step-3: Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18
Step-4: Factors of 56
List of positive integer factors of 56 that divides 36 without a remainder.
1, 2, 4, 7, 8, 14, 28
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 36 and 56. The biggest common factor number is the GCF number.
So the greatest common factor 36 and 56 is 4.
The highest common factor of 36 and 56 is 4 after using division algorithm, the answer is 4.
What is LCM?It is defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.
It is given that:
The two numbers are: 36 and 56
As we know GCF means highest common factor, the factor which presents the in both numbers:
The GCF(36, 56) can be found using the Division Lemma:
56 = 36x1 + 20
36 = 20x1 + 16
20 = 16x1 + 4
16 = 4x4 + 0
The value of GCF(36, 56) :
GCF(36, 56) = 4
Thus, the highest common factor of 36 and 56 is 4 after using division algorithm, the answer is 4.
Learn more about the LCM here:
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SOMEONE HELPPPP PLS!!!?
Answer:
1
Step-by-step explanation:
:)
Answer:
1
Step-by-step explanation:
3(2x+1)=9 *multiply 3 to 2x and 1*
6x + 3 = 9 *subtract 3 from both sides*
6x = 6 *divide each side by 6
x=1
Q:
What is 9.687-3.699?
Answer:
5.988
Step-by-step explanation:
_9.687
3.699
=5.988
what's the answer to this one ?
Answer:
59 degrees
Step-by-step explanation:
There are 360 degrees in a circle. Each arc with a known measure adds up to 242 degrees. To find the measure of the third remaining arc DC, we have to subtract 242 from 360, which leaves us with 118 degrees. The inscribed angle theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. This means we have to divide 118 by 2 to find the value of DC's associated inscribed angle. This leaves us with 59 degrees.
in the graph below what is the unit rate ken paid to rent a go kart create a table to help finding the unit rate
The graph is missing, so i have attached it.
Answer:
$0.40 per minute
Step-by-step explanation:
From the attached graph, we can see that it is a linear graph.
Thus, to find the unit rate paid by Ken, we will calculate the slope by picking two coordinate points with thick dots on the blue and calculating it.
Point 1 = (15, 6)
Point 2 = (35, 14)
Slope = (y2 - y1)/(x2 - x1)
Slope = (14 - 6)/(35 - 15)
Slope = 8/20
Slope = $0.40 per minute
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
B.
Step-by-step explanation:
For problem 5, use the ordered pairs to answer the following
question. SHOW YOUR WORK FOR FINDING SLOPE.
Answer:
no
Step-by-step explanation:
Because the lines are parallel
plz help :: y - 4 = -3(x - 3) in slope internet form and show the work
Answer:
Step-by-step explanation:
y-4=-3x+9
y=-3x+13
URGENT PLEASE !!! answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!
Answer:
B is (-2,-4)
Step-by-step explanation:
someone help
thank you
Answer:
i dont see the question
Step-by-step explanation:
Are natural numbers, whole numbers and integers also rational numbers
Answer:
yes they are rational
Step-by-step explanation:
in mathematics rule numbers that are positive are usually in rational form❤
helpppppp please.....
Answer:
124
Step-by-step explanation:
42+82=? (ext ∠'s of triangle equal to int opp)
42+82= 124°
PLEASE HELP ASAP I HAVE 10 MINUTES
Answer:
4, -3
Step-by-step explanation:
I believe it'd be 4, -3 due to the shape moving seven units downwards, though I've only messed with triangles so I may be wrong. Sorry if I am.
what is your first step when solving x/15 = 3/5? Explain
I need this by tonight
Answer:
Let's solve your equation step-by-step.
x
15
=
3
5
Answer:
x=9
Step-by-step explanation:
Which statement is true about the following pair of rectangles?
Two rectangles are shown. To the left, a larger rectangle has a lower side labeled 60 centimeters and a left side labeled 30 centimeters. To the right, a smaller rectangle has an upper side labeled 6 centimeters and a right side labeled 3 centimeters.
A. They are not similar because Start Fraction 6 over 60 End Fraction≠ Start Fraction 30 over 3 End Fraction.
B. They are not similar because Start Fraction 30 over 3 End Fraction = Start Fraction 60 over 6 End Fraction.
C. They are not similar because Start Fraction 3 over 6 End Fraction ≠ Start Fraction 30 over 60 End Fraction.
D. They are similar because Start Fraction 3 over 6 End Fraction = Start Fraction 30 over 60 End Fraction.
Answer:
probably D
Step-by-step explanation:
I cannot solve this.. i want to solve this
In right triangle angles L and M are complementary find the measure of angle L
Answer and Step-by-step explanation:
90 - 51 = 39.
Angle L is equal to 39, since angle M is equal to 51.
The angles are complementary, so they add up to 90, which is why we subtract 51 from 90 to get 39.
Have a great day!
#teamtrees #PAW (Plant And Water)
sarah needed 1 by 3 cup of flour to make 1 apple pie. I if she made 9 apple pies, how many cups of flour sarah need?
Answer:
1/3 times 9 so just do that math and there's your answer ;)
Answer: do the math kid 1/3 times 9 theres your answer
Step-by-step explanation:
What is the slope between the points (-1,3) and (2, 5)?
Answer:
2 is the slope
you have to use this: y2-y1
x2-x1
y2= 5 y1= 3
x2= 2 x1= -1
5-3=2
2-1=1
If five times a whole number increased by 3 is less than 13, then find the solution set.
Find the missing exponent: 5^11/5?=5^4
✨✨Answer number 7please ✨✨
Answer: A
Step-by-step explanation: This is a rotation. An easy way to tell the difference between a rotation and a reflection is that the order of the points will not change in a rotation. For this problem, pre-image ABCD is still in the order of ABCD when mapped to the image. (You can still follow along the points in that order). When something is reflected, the points swap orders and you would not be able to follow the points in order.
Now that we know this is a rotation, Notice A’ B’ C’ and D’ are all left of the pre-image. This means the mapped image moves counter clockwise.
A black mamba snake crawls along the ground at a rate of 10 miles per hour. Convertthis rate to kilometers per hour. (1 mile = 1.6 kilometer) (You must use a unit multiplier!)
Answer:
dcelfijiwq
Step-by-step explanation:
ddnwjw s20 x 60w qlk _
Answer: 16
Step-by-step explanation: If 1 mile is 1.6 km 10 times 1.6 is 16.
I need help ASAP!!!!!!!!!!!!!!!!!!!
Answer: Length of each side of the building block will be 1 feet.
Answer:
23/45
Step-by-step explanation:
3) The cost of a movie ticket and a candy bar is $5. The cost of 2 tickets
and a candy bar is $8.75. How much is a candy bar? *
Answer:
$1.25
Step-by-step explanation:
Given data
let the movie ticket be x and the candy bar be y
x+y= 5-------------1
also
2x+y= 8.75--------2
solve 1 and 2
x+y= 5
2x+y= 8.75
from 1
x= 5-y
put this inplace of x in 2
2(5-y)+y=8.75
10-2y+y= 8.75
10-y= 8.75
10-8.75=y
y= 1.25
Hence candy bar is $1.25
HELP THIS BS IS DUE IN 20 MINS!!!!!!!
Answer: 5.5
Step-by-step explanation:
If each sandwich is $5.5 then the slope must be y=5.5x
What’s the value of x?
Answer:
6*15 = 5(x+5)
90 = 5x + 25
65 = 5x
x = 13
Step-by-step explanation:
I've gone ahead and labeled some points.
There is a formula that says PA*PB = PC*PD, this is what you use. If you would like me to show why this works I would be happy to.
So what we have is PA = 6, PB = 9+6 = 15, PC = 5 PD = 5+x so let;s writ ethe formula with these values
6*15 = 5(x+5)
90 = 5x + 25
65 = 5x
x = 13
EDIT: Here is the explanation for the formula
If you form triangles PCB and PAD you can find angle D and angle B are the same, because they are inscribed angles that intersect the same arc of the circle. Also angle P is the same on both triangles since they are the same angle, so this means both triangles are similar.
This means DA is similar to BC, AP is similar to CP and PD is similar to PB. Similar sides means if you can multiply one side by a number to get to its similar side, then you can multiply all sides by that value to get all sides of that similar triangle.
This also means if you divide one side by its similar side you get the scale value, so this means if you do it to two different sets of similar sides you get the same number
[tex]\frac{PA}{PC}=\frac{PD}{PB}\\PA*PB = PC*PD[/tex]
consider two circular ferris wheels. Ferris wheel A has a radius of 7.5 feet, and wheel B has a diameter of 180 inches. Which Ferris wheel has a greater circumference
Answer:
trick question
Step-by-step explanation:
if ferris wheel A has a radius of 7.5ft=90in which you would multiplied by 2 which give a diameter of 180in and ferris wheel B has a diameter of 180in they would have the same circumference.
Please help!!!!.................,
Answer:
I think it's 45 lmk if I'm wrong lol
HELP!! I DON't HAVE MUCH TIME