The required expression in terms of logarithm of prim numbers are;
[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]
[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]
Prime numbers are numbers that can only be divisible by 1 and itself.
From the given logarithmic expression, we will need to write 405, 8, and 81 as the product of prime numbers
405 = 3 * 3 * 3 * 3 * 5
405 = 3^4 * 5
8= 2* 2 * 2
8 = 2^3
81 = 3 * 3 * 3 * 3
81 = 3^4
The logarithm expression [tex]log_4405 \ and \ log_7(\frac{8}{81} )[/tex] can be expressed in terms of prime numbers as;
[tex]log_4405=log_4(3^4\times 5)=log_43^3+log_45[/tex]
Similarly;
[tex]log_7(\frac{8}{81} )=log_7(\frac{2^3}{3^4} )=log_72^3-log_73^4[/tex]
Learn more here: https://brainly.com/question/23004769
Kyle started a new job part of the way through last month that pays $7 per hour. he began the month making $5 per hour at his old job. kyle worked a total of 54 hours last month and made $338 before deduction. how many hours did he work at his old job?
Answer:
20hours
Step-by-step explanation:
Old Job hours = 54 -34 = 20 hours
Simplify the expression
8h+(−7.3d)−14+5d−3.7h.
please I need help solving the equation, -2/5c < 9
Answer:
c > -22 1/2
Step-by-step explanation:
Step 1: Multiply both sides by -5/2 and flip the sign.
[tex]-\frac{2}{5}c * -\frac{5}{2} < 9 * -\frac{5}{2}[/tex] [tex]c > -\frac{45}{2}[/tex] [tex]c > -22\frac{1}{2}[/tex]Therefore, the answer is c > -22 1/2.
Help please please urgently
Answer:
I think the answer to the question is 3/10?
A bag of grass seed weighs 5.8 pounds. How many pounds would 2.5 bags weigh
Answer:
Answer: 14.5 pounds
Step-by-step explanation:
Step-by-step explanation: Do 5.8 times 2.5
Answer:
14.5 lb
Step-by-step explanation:
1 bag weighs 5.8 lb.
2.5 bags weight 2.5 × 5.8 lb
2.5 × 5.8 lb = 14.5 lb
please help me woth this
What is the equation in slope-intercept form for the line that passes through the points
-4,3 and 2,-6 (slope intercept form)
Answer:
check the file to see the answer i added a screen shot of the answer
Step-by-step explanation:
I thought of a 2 digit number. The digits of my number are different. The unit digit of my number is the tens digit raised theird power. What is my number?
Answer:
Step-by-step explanation:
I thought of a 2 digit number. The digits of my number are different: [XY]
Then I'm lost. Does "The unit digit of my number is the tens digit raised third power" mean that the X is raised to the third power?:
X^3
But then we need more information. X could be 1, 2,3, or 4. At 5 it becomes a three digit number. All of the other option result in a two digit number with different digits, so all seem possible. I don't know how to answer this without more information.
If the point (2K-3, K+2) lies on the graph of the equation 2x+y+14=0, find the value of k.?
Answer:
k = -2
Step-by-step explanation:
Substitute 2k-3 for x and k+2 for 2
2x + y + 14 =0
2(2k-3) + (k + 2) + 14 = 0
4k - 6 + k + 2 + 14 = 0
4k + k - 6 + 2 + 14 = 0
5k + 10 = 0
5k + 10 - 10 = 0 - 10
5k = -10
[tex]\frac{5k}{5} = \frac{-10}{5}[/tex]
k = -2
I forgot how to do this stuff so please help
Answer:
116 in
Step-by-step explanation:
solve for x
(4/9)^√x=(2/3)^39-√x
Answer:
169
Step-by-step explanation:
(4/9)^√x = (2/3)^39-√x
(2/3)^2√x = (2/3)^39-√x
Comparing the bases ,
2√x = 39-√x
3√x = 39
√x = 13
x = 169
Can you give me the answer?
Answer:
39
Step-by-step explanation:
The inside of a triangle adds up to 180:
90 because that square box is 90 degrees
90+50=141
180-141=39
Help me Pls
NONSENSE=REPORT
REAL ANSWER=BRAINLIEST+HEART
PLACE VALUE. VALUE
6. Hundreds. 200
7. Ones. 1
8. Hundreds. 0
9. Hundreds. 800
10. Tens. 60
What is the equation of the line in slope-intercept form?
y = 1/7x-15/7
y = 1/7x+15/7
y = 15/7x-1/7
y = 15/7x+1/7
NEED IT NOW!!
Answer:
B IS THE ANSWER
Step-by-step explanation:
don’t mind the 28, i literally have no idea. pls help ^^^ thx <3
9514 1404 393
Answer:
(d) 28
Step-by-step explanation:
When you are asked to evaluate g(n) for some value of n, put that value where n is and do the arithmetic.
g(n) = 3n -2
g(10) = 3·10 -2
= 30 -2 = 28
I NEED ANSWER ASP PLEASE
Answer:
n=72x9
Step-by-step explanation:
Because Marley is 9x as much, so that's 72x9.
Amir posts a video trailer
Step-by-step explanation:
He gets five positive reviews
what is the equation in slope intercept form of the line that has a slope of -7 and y intercept of 3/11
Answer:
y = -7x + 3/11
Step-by-step explanation:
There were m balloons at the beginning of a party. By the end of the party, 4 of them had popped. Using m, write an expression for the number of balloons that were left. Please help! <3
Answer:
m - 4
Step-by-step explanation:
So, m amount of balloons at the beginning.
When 4 pop, that means there are 4 less than the beginning.
m - 4
Using the formula find the slope of a line with these two points (2,10) and (5,15).
Answer:
1.66667
Step-by-step explanation:
using online slope calculater
Which set of ordered pairs does not represent a function?
a
O{(-6, -9), (-2, -3), (–9,2), (2, -3)}
O {(-2,0), (-5,8), (7,9), (6,8)}
O {(6,9), (-7,8), (1, –4), (8,8)}
O{(-2, -6), (-1,2), (-2, – 7), (6,6)}
Submit Answer
Answer:
Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)}
Step-by-step explanation:
Definitions:A function is a relation for which no two ordered pairs have the same first component (or x-values) and different second component (y-values). The set of first components is the input, also referred as the domain. The set of second components is the output, also referred as the range.In order to determine whether a given relation is a function, one must always take notice of the x-values ⇒ make sure that an x-value does not have more than one corresponding y-value.
Solution:Option 1: {(-6, -9), (-2, -3), (–9,2), (2, -3)} ⇒ This relation is a function. Each input has one corresponding output.
Option 2: {(-2,0), (-5,8), (7,9), (6,8)} ⇒ This relation is also a function. Each input has one corresponding output.
Option 3: {(6,9), (-7,8), (1, –4), (8,8)} ⇒ This relation is also a function. Each input has one corresponding output.
Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)} ⇒ This relation is not a function. The x-value, x = -2, has two corresponding y-values: y = -6, and y = -7.
Therefore, the correct answer is Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)}.
Answer:
the last one {(-2, -6), (-1,2), (-2, – 7), (6,6)}
Step-by-step explanation:
it has 2 of the same x values with 2 different y coordinates, in other words it fails the vertical line test.
is h correct? someone help
Answer:
No The correct Answer is "G"
Step-by-step explanation:
First lets find 300% as a number which is 3 ok so now
increase 10 by 300%
so 100%+300%=400%
and half of 400 which is 200%
so H is no correct g is
How do you solve this and find x?
Answer:
fraction form
x= 2 + ln(30)/ln(7)
decimal form
x= 3.74786969
Step-by-step explanation:
What I like to call the logarithmic equation solver.
Bring it down turn it around.
First bring down the 7 to a ㏒7 and the x-2 so that ㏒7(x-2)=30
Then change the constants from on another so then it would look like
㏒7(30)=x-2
solve for x
to solve do the log base finder equation ㏒(30)/ln(7)
and add 2
The given bar graph shows the number of rooms, bathrooms, fireplaces, and elevators in the building.
Combined, there are 199 rooms, bathrooms, fireplaces, and elevators. The number of rooms exceeds the
number of bathrooms and fireplaces by 68. The difference between the number of fireplaces and elevators is
23. If the number of bathrooms is doubled, it exceeds the number of fireplaces and elevators by 47. Determin
the number of rooms, bathrooms, fireplaces, and elevators in the building.
Using a system of equations, it is found that there are:
132 rooms.38 bathrooms.26 fireplaces.3 elevators.For the system, we have that:
The number of rooms is x.The number of bathrooms is y.The number of fireplaces is z.The number of elevators is w.Combined, there are 199 rooms, hence:
[tex]x + y + z + w = 199[/tex]
The number of rooms exceeds the number of bathrooms and fireplaces by 68, hence:
[tex]x = y + z + 68[/tex]
The difference between the number of fireplaces and elevators is 23, hence:
[tex]z - w = 23[/tex]
If the number of bathrooms is doubled, it exceeds the number of fireplaces and elevators by 47, hence:
[tex]2y = z + w + 47[/tex]
Replacing the third equation into the fourth:
[tex]z = 23 + w[/tex]
[tex]2y = z + w + 47[/tex]
[tex]2y = 23 + w + w + 47[/tex]
[tex]2y = 2w + 70[/tex]
[tex]y = w + 35[/tex]
Then, from the second equation:
[tex]x = y + z + 68[/tex]
[tex]y + z = x - 68[/tex]
We can solve for w, considering that:
[tex]y = w + 35[/tex]
[tex]z = 23 + w[/tex]
[tex]y + z = x - 68[/tex]
[tex]x = y + z + 68[/tex]
[tex]x = w + 35 + w + 23 + 68[/tex]
[tex]x = 2w + 126[/tex]
[tex]x + y + z + w = 199[/tex]
[tex]2w + 126 + w + 35 + 23 + w + w = 199[/tex]
[tex]5w + 184 = 199[/tex]
[tex]5w = 15[/tex]
[tex]w = \frac{15}{5}[/tex]
[tex]w = 3[/tex]
Then, solving for the other variables:
[tex]x = 2w + 126 = 2(3) + 126 = 132[/tex]
[tex]y = w + 35 = 3 + 35 = 38[/tex]
[tex]z = 23 + w = 23 + 3 = 26[/tex]
There are:
132 rooms.38 bathrooms.26 fireplaces.3 elevators.A similar problem is given at https://brainly.com/question/17096268
Please explain.
No bit links.
Answer:
Top right
Step-by-step explanation:
The equation is saying that x is greater than or equal to the number two. That mean our line will be bold and not dotted and the the shaded area will be everywhere past the 2 line
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!6
Answer:
parami es el A por q no seria basico las demas la B C y D noloson
Measure these angles.
a)
b)
the coordinates of the point of intersection of lines px + y = 3 and x + 2y = q are (2, -3). find the value of p and q
Answer:
p = 3 and q = - 4
Step-by-step explanation:
Substitute the coordinates of the solution (2, - 3 ) into the equations and solve for p and q
px + y = 3 , then
2p - 3 = 3 ( add 3 to both sides )
2p = 6 ( divide both sides by 2 )
p = 3
and
x + 2y = q , then
2 + 2(- 3) = q
2 - 6 = q , so
q = - 4
In order to select new board members, the French club held an election. 70% of the 90 members of the club voted. How many members voted?
Answer:
63 members.
Step-by-step explanation:
70% of the votes means that every 100 people, 70 went to cast their ballot, or 7 every 10. Now in the club there are 9 groups of 10 people, so 9x7 = 63 people
Bethany has a mother, 6 sisters, 3 aunts and 2 grandmothers. How many girls are in this family?
Answer:
13
Step-by-step explanation:
1 plus 1 plus 6 plus 3 plus 2 equals 13