Answer:
x = 125
Step-by-step explanation:
Given equation:
[tex]\log_224-\log_23=\log_5x[/tex]
[tex]\textsf{Apply the Quotient log law}: \quad \log_ax - \log_ay=\log_a\frac{x}{y}[/tex]
[tex]\implies \log_2\left(\dfrac{24}{3}\right)=\log_5x[/tex]
[tex]\implies \log_28=\log_5x[/tex]
Rewrite 8 as 2³:
[tex]\implies \log_2(2^3)=\log_5x[/tex]
[tex]\textsf{Apply the Power log law}: \quad \log_ax^n=n\log_ax[/tex]
[tex]\implies 3\log_22=\log_5x[/tex]
[tex]\textsf{Apply log law}: \quad \log_aa=1[/tex]
[tex]\implies 3(1)=\log_5x[/tex]
[tex]\implies \log_5x=3[/tex]
[tex]\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b[/tex]
[tex]\implies 5^3=x[/tex]
[tex]\implies x=125[/tex]
Quadrilateral Properties
Match the properties to the shape. Properties may be used more than once and shapes may have more than one property.
MANY POINTS FOR HELPING PLEASE!!!
Subtract. (5d+6)–(2d+2)
Answer:
3d+4
Step-by-step explanation:
(5d+6)–(2d+2)
To find the opposite of 2d+2, find the opposite of each term.
5d+6−2d−2
Combine 5d and −2d to get 3d.
3d+6−2
Subtract 2 from 6 to get 4.
3d+4
Hope this helps! :)
MY HEAD IS HURTING I BEG FOR YOUR HELP. I WILL MARK BRAINLIST!!
Answer: No association
Step-by-step explanation:
There is absolutely no pattern going on. This means that the miles ran per week are not really affecting the standing heartbeat. Therefore, I'd say there is no association.
Write 110 as a product of primes
Answer:
The prime factorization of 110 is: 2 x 5 x 11.
Nicholas borrowed $4 from his mother each of the last three months . How much money do owe his mother?
Multiply 4 by 3 to represent the amount he borrowed to the amount of months he did this.
4 x 3 = 12
So, he owes his mother 12 bucks.
Max rode his bike 40 miles in hours.
Answer:
I don't know what you want to know so I assume you want to find out his miles in minutes:
Divide 40 with 60
Which is 2/3
So Max rode 2/3 miles in a minute
Step-by-step explanation:
Answer:
4 hours if going ten mph and 2 hours if going 20 mph
what is the solution to the system of equations graphed below? y=-x+3 y=x-3
Answer:
x-3=-x+3
2x=6
x=3 y=0
the solution is the intersection of those two lines!
What percentage of all water on Earth is freshwater in liquid form?
67%
1%
31%
3%
Answer:
3% freshwater
Step-by-step explanation:
What percentage of all water on Earth is freshwater in liquid form?
67%
1%
31%
3%
Answer:
1%
Step-by-step explanation:
3% is wrong. I took the test and I’ve studied this :)
The function f(x) is graphed below. Determine whether the degree of the function is
even or odd and whether the function itself is even or odd.
Answer:
even
Step-by-step explanation:
$2,000 loan at 8% for 5 years.
Answer:
$2,800 = Principle + InterestStep-by-step explanation:
Using PRT/100, let's find the interest.
=> 2,000 x 8 x 5/100=> 20 x 8 x 5=> $800Conclusion:
Therefore, the interest plus principle is 2,000 + 800, which is $2,800.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Iain serves 3 cups of coffee every 4 minutes.
Answer:
but how many people does she serve
Help me pls imma fail
Answer:
-
Step-by-step explanation:
The sum of -14 and a number is positive. Identify a possible value for that number
Explain your selection
Answer:
15
Step-by-step explanation:
Since, we need a number that if added to -14, it'll give a positive result. The first number is gonna be 15, . Because, it's the first number that can give a positive number if summed up with -14.
1/2-1/3x=-4 solve the equation
Answer: x=-21/2
Step-by-step explanation:
1
2
−
1
⋅
1
3
Answer:
x=27/2
Step-by-step explanation:
1/2-1/3x=-4
subtract 1/2 from both sides
1/2+-1/3x -1/2=-4 -1/2
Group like terms
-1/3 ⋅ x +1/2+(-1/2)=-4 -1/2
Combine the fractions
-1/3 ⋅ x+0=-4 -1/2
Convert the integer into a fraction
-1/3 ⋅ x=-8/2 -1/2
Combine.
-1/3 ⋅ x= -9/2
Isolate the x:
-1/3x ⋅ 3/-1= -9/2 ⋅ 3/-1
1x=-9/2 ⋅ 3/-1
x= -9 ⋅ -3/2
x=27/2 as your answer
Which is a central idea of the Railroad that changed america?
Hey y’all please help me with this question.
Answer:
-g-8>9 answer
since g is -18 and we have (-)g we will have +18
+18-8+10
now we have 10 and it will be bigger the the 9.
Answer:
-g-8≥9
Step-by-step explanation:
Just ask!
Hope this helps.
what is 13 divied it by 2
Answer:
6.5
Step-by-step explanation:
6.5 is 13 divided by 2. You can check your work by adding 6.5 to 6.5 or multiplying 6.5 by 2
factorise: p² - 9
for brainliest
Question in picture!!
Step-by-step explanation:
A. 4+(x-y)
B. 6+xy
C.( x.x.).y
hope it helps.
stay safe healthy and happy.
Answer:
A. 4+(X•Y)
B. 6×xy
C. (X•X)y
the smith family traveled 140 miles from winston salem to asheville they stopped at one rest area the diagram below shows their trip divide into equal segments
Answer:140 because you have to divided by 1
Step-by-step explanation:
1)
Find the value of x.
x=8
Explanation:
the opposite side is 72, which means I have to make 9x end up equaling 72.
72÷9
////
72/9
=8
9×8=72
Therefore
the value of x is 8.
Find the odds for and the odds against the event rolling a fair die and getting a 2, a 3, or a 5.
Answer:
The odds for are 50% and the odds against are 50%.
Step-by-step explanation:
On a die, there is 6 possibilities 2, 3, and 5, are 3 of them.
This means there is a 3/6 chance that it will land on one of those numbers, and there is also a 3/6 chance it will land on 1, 4, or 6.
3/6 is equivalent to 50% and 1/2.
Rani makes a special design called a rangoli for Diwali. Her design is square with
a side length of 15 in. Rani then makes a larger rangoli by tripling this side length.
How many times as large is the area of the new rangoli than the area of the
original rangoli?
Answer: 180
Step-by-step explanation:
• 15 x 4 = 60
• 60 x 3 = 180
Therefore the answer is 180.
Solve 7 ax + 8 ax = 9 ax + 6 for x. Assume a + 0.
Find the slope of the line containing the points (-3, 8) and (-1, 0).
Select one:
a.
zero slope
b.-4
c. -1/4
d.-3
Answer: the slope 4
Step-by-step explanation:
the slop is y^2 - y^1 / x^2 - x^1 = 0 -8 / -1 - - 3 = 8/2 = 4
Hope that helps :)
Brittany is a scientist.She is recording the number of cells in a dish.After each hour,the cell divides into four cells.The sequence shown represents the growth of the cells. 1,4,16,64,256,. . . Which explicit formula represents this situation
Answer:
4^n-1
Step-by-step explanation:
So given sequence is a geometric sequence where terms increase or decrease by a constant common ratio(r)
Formula to find terms in Geometric sequence is " ar^n-1 where a is first term , r is common ratio and n is number of items
In this case , first term (a) is 1 , common ratio(r) is succeeding term/preceding term = 4/1 = 4 and number of items be (n).
Applying "ar^n-1 " we get,
1*4^n-1 which is , 4^n-1
Thats the formula which represents the situation....
Find the equation of the line with slope of 2 passing through (3,1)
please
which ratios make up a proportion
Answer:
2nd option
Step-by-step explanation:
The ratios on both sides must be equal
[tex]\frac{15}{6}[/tex] ( divide numerator/ denominator by 3 )
= [tex]\frac{5}{2}[/tex] ≠ [tex]\frac{3}{2}[/tex] , then not a proportion
[tex]\frac{4}{5}[/tex] ( multiply numerator/ denominator by 3 )
= [tex]\frac{12}{15}[/tex] , this is a proportion
[tex]\frac{9}{21}[/tex] ( divide numerator/ denominator by 3 )
= [tex]\frac{3}{7}[/tex] ≠ [tex]\frac{6}{7}[/tex] , then not a proportion
[tex]\frac{10}{16}[/tex] ( divide numerator/ denominator by 2 )
= [tex]\frac{5}{8}[/tex] ≠ [tex]\frac{2}{8}[/tex] , then not a proportion
Answer:
1. 18/8
2. 16/20
3. 15/28
4. 12/24
What is the equation of a line perpendicular to minus x plus 2 equal y that intersects the line at open parentheses minus 1. 5 comma space 3. 5 close parentheses ?.
The required equation of a line perpendicular is y = x + 5
Given the equation y = -x + 2, the slope of the line is -1
The slope of the line perpendicular will be m -1/-1 = 1.Given the point (-1.5, 3.5)Substitute the slope and the point into the point-slope form of the equation expressed as:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-3.5=1(x-(-1.5))\\y-3.5=x+1.5\\y=x+1.5+3.5\\y=x+5[/tex]
Hence the required equation of a line perpendicular is y = x + 5
Learn more on equation of a line here: https://brainly.com/question/19417700
Solve the equation.
2x - 3 + 4x = 21
O x= -12
O x= -6
O x= 4
O x= 6