The equivalent of log base 27 of 9 is 2/3, as 27^(2/3) equals 9.
Thus, the correct answer is b. 2/3 among the provided choices.
To find an equivalent expression for log base 27 of 9, we need to determine the exponent to which 27 must be raised to obtain 9. In other words, we want to find x in the equation 27^x = 9.
Recognizing that 27 is 3^3 (as 3 times 3 times 3 equals 27), we can rewrite the equation as (3^3)^x = 9. Applying the exponent rule (a^b)^c = a^(bc), this simplifies to 3^(3x) = 9.
Now, equating the exponents, 3x = 2 since 3^2 equals 9. Solving for x, we find x = 2/3. Therefore, log base 27 of 9 is 2/3.
Among the provided choices:
a. 1/3
b. 2/3
c. 3/2
d. 0.798
The correct equivalent is b. 2/3, as it matches the determined value of log base 27 of 9.
The question probable may be:
Which of the following is equivalent to log27 9?
answer choices:
a 1/3
b 2/3
c 3/2
d 0.798
The equivalent of log base 27 of 9 is 2/3, as 27^(2/3) equals 9.
Thus, the correct answer is b. 2/3 among the provided choices.
We must ascertain the exponent to which 27 must be raised in order to
achieve 9 in order to discover an analogous formula for log base 27 of 9.
Put otherwise, we wish to determine x in the formula 27^x = 9.
Since 3 times 3 times 3 is 27, we may express the equation as (3^3)^x = 9 since we know that 27 is 3^3.
Applying the exponent rule (a^b)^c = a^(bc), this simplifies to 3^(3x) = 9.
Now, equating the exponents, 3x = 2 since 3^2 equals 9.
Solving for x, we find x = 2/3. Therefore, log base 27 of 9 is 2/3.
Among the provided choices:
a. 1/3
b. 2/3
c. 3/2
d. 0.798
The correct equivalent is b. 2/3, as it matches the determined value of log base 27 of 9.
Question
Which of the following is equivalent to log27 9?
answer choices:
a 1/3
b 2/3
c 3/2
d 0.798
Mark and John were sharing the $10 cost to rent some video games with another friend. Mark paid $3, John paid of the total, and their friend paid the rest. Who paid the most towards the rental?
John paid the most towards the rental.
Explanation:To determine who paid the most towards the rental, we need to find out how much each person paid. Mark paid $3 and John paid <percentage> of the total. Their friend paid the remaining amount. Since the total cost to rent the video games was $10, we can calculate how much John paid by subtracting what Mark paid from $10 and finding the percentage of that remaining amount.
Subtracting $3 from $10 gives us $7. Since John paid the majority, we can say that he paid 70% of the total. Therefore, John paid the most towards the rental.
Learn more about who paid the most towards the rental here:https://brainly.com/question/30285504
#SPJ3
What is 2840 divided by 6 in long division
What does 4.87×10^12 equal?
What is the greatest common factor of 84 and 108?
What is the volume of a rectangular prism that has a length, width, and height of 1/2 m, 1/4 m, and 2/3 m, respectively?
use the remainder theorem to divide 3x2+10x-8 by x-2 what is the remainder
Answer:
Remainder is 24.
Step-by-step explanation:
Given dividend = 3x² + 10x - 8
and divisor = x - 2
To find: Remainder using Remainder theorem.
Remainder Theorem states that let p(x) be any polynomial of degree greater than or equal to one and let a be any real number. If p(x) is divided by the linear polynomial x - a, then the remainder is p(a).
Let p(x) = 3x² + 10x - 8
using remainder theorem,
Remainder = p(2) = 3 × 2² + 10 × 2 - 8
= 3 × 4 + 20 - 8
= 12 + 12
= 24
Therefore, Remainder is 24.
which of the following r one dimensional figures?
check all that apply.
a. ray
b. angle
c. square
d. point
e. segment
f. line
Answer: Segment, line, ray
Step-by-step explanation: too answer was confusing and point was wrong.
The answers are a. ray, e. segment and f. line
In geometry, a one-dimensional figure has only length and no other dimensions such as width or height. Let's analyze each option:
Ray - A ray is one-dimensional as it starts from a point and extends infinitely in one direction.Angle - An angle is formed by two rays meeting at a point, which makes it not one-dimensional.Square - A square is a two-dimensional figure with length and width.Point - A point has no dimensions; it is zero-dimensional.Segment - A segment is one-dimensional as it consists of two endpoints and the line connecting them.Line - A line is one-dimensional as it extends infinitely in both directions.Thus, the one-dimensional figures are the ray, segment, and line.
Hello. Im having problems in Geometry programming and I was wondering if there is anyway for someone to help me
solve the seperable equation:
dy/dx= (sec^2)y/1+x^2
A-Team Corporation issued 1,000 shares of $5 par value stock for land. The stock is actively traded at $9 per share. The land was advertised for sale at $10,500. The land should be recorded at:
A.$4,000.
B.$5,000.
C.$9,000.
D.$10,500.
what would the answer to -|-24| be?
Which expressions are equivalent to the one below? Check all that apply.
10x
A. 50x/5x
B. 10 • 10x - 1
C. 10 • 10x + 1
D. 50x/5
E. (50/5)x
F. x5
The answer is A, B, and E.
Just plot write the equation in a graphing calculator which shows they are the same.
√19 approximated to nearest tenth
The solution set for -p^2 − 11p = 0 is
Answer:
the solution set is {0,-11}
Step-by-step explanation:
The equation is [tex]-p^2-11p=0[/tex]
The GCF of the left hand side of the expression is -p. Hence, factored out the GCF
[tex]-p(p+11)=0[/tex]
Now, apply the zero product property, we get
[tex]-p=0,p+11=0[/tex]
Now, solve the equations for p
[tex]p=0,p=-11[/tex]
Thus, the solution set is {0,-11}
What is the unit rate of max wrote 10 pages of his lab report in 4 hours?
Mary and tom were buying a present for their mother on mothers day. mary spent $12 and tom spent $28 if they wanted to share the cost equally, how much money does mary owe tom?
Which shows the expression below in simplified form?
(7.4 × 10^-1) - (4.1 × 10^-4)
A. 7.3959 × 10^-1
B. 7.39959 × 10^-1
C. 7.359 × 10^-2
D. 7.3959 × 10^-2
2. A bowling alley charges $3.00 to rent shoes and $1.50 per game bowled.
the length of a rectangle is given by 2t+1 and its height is t^(1/2), where t is time in sec. Find the rate of change of the area with respect to time
Solve for x. Type a numerical answer in the space provided. Do not use spaces in your answer. For example, if the answer is x = 15, type 15.
15x + 6 = 10x + 21
Answer correct for brainliest and also a thanks ! Don't answer if you don't know it please . CHOOSE ALL THAT ARE CORRECT .
Answer choices :
A. QP
B. EJ
C. PR
D. RA
E. TQ
Convert 11-4x=(3x-2)^2 1 to standard form?
PLLEEAASSEE HELP ME!!!!! 20 POINTS AND BRAINLIEST ANSWER
Holly made fruit punch for an office party a few months ago; she used 1 gallon of strawberry juice and 3 gallons of watermelon juice, which cost her a total of $8. For today’s party, she used 3 gallons of strawberry juice and 2 gallons of watermelon juice, spending a total of $10. How much does a gallon of each type of juice cost? Write a system of equations to describe the situation and solve using elimination. (use x for strawberry juice and y for watermelon juice)
if Jane has 5 pairs of pants and 7 shirts, how many different combinations of pants and shirts are possible?
Which of the following equations could be used to solve for the tenth term of the following sequence?
15, 13, 11, 9, ...
A(10) = 15 + 10(-2)
A(10) = 15 + 9(-2)
A(10) = 15 + 9(2)
A(10) = 15 + 10(2)
Answer:
Option(B) is correct.
The tenth term is given by [tex]a_{10}=15+9(-2)[/tex]
Step-by-step explanation:
Given : The sequence 15, 13, 11, 9,....
We have to determine the equation that can be used to find the tenth term of the given sequence 15, 13, 11, 9,....
Consider the given sequence 15, 13, 11, 9,..
[tex]a_1= 15, a_2=13, a_3= 11[/tex]
Difference between each term is
[tex]a_2-a_1=13-15=-2\\ a_3-a_2=11-13=-2[/tex]
Since, The difference between each term is constant -2
Thus, The given sequence is an arithmetic sequence with first term 15 and common difference -2.
Thus, The general term is given by
[tex]a_n=a+(n-1)d[/tex]
where a is first term and d is common difference nd n is number of term.
Subsitute, we have,
[tex]a_{10}=15+(10-1)(-2)[/tex]
Simplify, we have,
[tex]a_{10}=15+9(-2)[/tex]
Thus, The tenth term is given by [tex]a_{10}=15+9(-2)[/tex]
If there is 7018 mm, what is the metric unit for 7.018?
What is the value of the function y = 2x + 3 when
x=−1
?
Problem Page A car is traveling at a rate of 63 miles per hour. What is the car's rate in feet per second? How many feet will the car travel in 15 seconds? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers.
Which must be true in order for the relationship △ZYV ~ △XWV to be correct?
∠Z ≅ ∠X and ∠W ≅ ∠Y is the correct answer
D
Alan is putting weed killer on a field to get it ready for planting. The directions on the can say to use 4/5 of a quart for each acre of land. How much weed killer will Alan need for two fields, one that is 22 1/2 acres and one that is 38 1/4 acres?
28 1/8 quarts
47 4/5 quarts
60 3/4 quarts
48 3/5 quarts