Final answer:
The expression log(c) log(20) - log(5) is simplified using the quotient rule for logarithms to log(c) log(4), by subtracting the logs and simplifying the inside expression from 20/5 to 4.
Explanation:
The student's question involves simplifying a logarithmic expression. The initial expression is log(c) log(20) - log(5). To simplify this expression, we can use logarithmic properties, specifically the quotient rule of logarithms, which states that log(a/b) = log(a) - log(b).
Applying this property to the given expression, we combine the two logs that are subtracted:
log(20) - log(5) = log(20/5). Simplifying the division inside the log gives us:
log(4). Therefore, the simplified expression is log(c) log(4).
Plx help me! Identical boxes are stacked on top of each other in a store display. The display uses 6 boxes across, 6 boxes deep, and 6 boxes tall.How many boxes are there in the display?
Answer:
216 boxes
Step-by-step explanation:
6*6*6 or 6^3
Or simply, 6*6 = 36 on one row. 36*6 rows is equal to 216 boxes.
Could i get brainliest?
What are the factors of x^2 + 3x – 4?
0
(x + 4) and (x – 4)
(x + 3) and (x – 4)
(x + 4) and (x - 1)
(x + 3) and (x - 1)
so the right answer is (x+4) and (x-1).
Look at the attached picture⤴
Hope it will help u...
Elena, Jada, and Lin enjoy playing basketball during recess. Lately, they have been practicing free throws. They record the number of baskets they make out of 10 attempts. Here are their data sets for 12 school days.
Elena: 4 5 1 6 9 7 2 8 3 3 5 7
Jada: 2 4 5 4 6 6 4 7 3 4 8 7
Lin: 3 6 6 4 5 5 3 5 4 6 6 7
Calculate the mean number of baskets each player made, and compare the means. What do you notice?
Answer:
They all have the same mean of 5
Step-by-step explanation:
first add up all the numbers in each data set separately and then divide by the total number (12) to find the mean for example
Elena: 4+5+1+6+9+7+2+8+8+3+3+5+7= 60
60 divided by 12 equals 5
all three have the same mean of 5
jason makes $14 per hour mowing lawns if he works 36 hours this week how much mony will he make
Answer:
He will make 504 dollars
Answer:
$504
Step-by-step explanation:
14 has to be multiplied by 36 and it give you the answer of $504
Y varies inversely with x. If y = 5 when x = 3, find the value of y when x = 6.
Answer:
Step-by-step explanation:
Y*1/x
y=k/x where k is the constant of variation
when y=5, x=3
5=k/3
k=5x3=15
k=15
given x=6
y=15/6
y=5/2
note * is used as symbol for varies
What is the average rate of change over the interval between x = 0 and x = 3 of
the function y= 2^x.
Answer:
7/3
Step-by-step explanation:
fb - fa / b - a
which is b=3,a=0
Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers.
The high scores from last week on a video game at an arcade are represented in the box plot below.
What is the interquartile range of the scores?
Give a known data point from the box plot that represents a striking deviation in the data.
Answer:
What is the interquartile range of the scores? 30
Step-by-step explanation:
Give a known data point from the box plot that represents a striking deviation in the data. 65
Answer:
What is the interquartile range of the scores?
30
Give a known data point from the box plot that represents a striking deviation in the data.
-20
Step-by-step explanation:
Amy invests $75 a month in an annuity that earns 3% APR and is
compounded monthly. What is the future value of Amy's account in 5 years?
Answer: $4,848.51
Step-by-step explanation:
A P E X
Answer:4848.51
Step-by-step explanation:
the area of a circle is 36 pie cm^2 what is the radius of the circle?
Answer:
6cm
Step-by-step explanation:
To break down the steps back to radius, the formula is placed reversely in [tex]\pi r^{2}[/tex]
Since 36 is without pie, square root is needed.
[tex]\sqrt{36}[/tex]=6
Therefore, 6 cm is the radius.
Answer:
Step-by-step explanation:
hello :
the area is : A=πr² r : the radius
36π = πr² means : r²=36 so : r= 6
Look at the image to answer.
The correct answer is D
since 3.2222... is a repeating number, it is rational
0.112123123412345 is not repeating and doesn't have a cosistent pattern, so it isn't rational
1.589 is rational because this decimal stops and doesn't continue- it can also be written as a fraction ( [tex]\frac{1589}{1000}[/tex] )
What is the factored from of x^2-4x-5?
its d, I just solved it...
Answer:
(x - 5) (x + 1)
Step-by-step explanation:
Given
x² - 4x - 5
= x² - ( 5 - 1)x - 5
= x² - 5x + x - 5
= x( x - 5) + 1 ( x - 5)
= ( x - 5) ( x + 1)
Hope it will help you :)
32 is 20% of what number?
A) 64
B)89
C)128
D)160
Answer:
D) 160
Step-by-step explanation:
20% × n = 32
20 /100 × n = 32
Multiplying both sides by 100 and dividing both sides by 20,
n = 32 × 100 /20
n = 160
Answer:
D, 160
Step-by-step explanation:
Hello!
To find the answer to this question, we have can represent any number as "n."
Since 20% is the same as [tex]\frac{20}{100}[/tex], we have:
[tex]\frac{20}{100}[/tex] * n = 32
Now we multiply both sides by 100 to get rid of the fraction:
20n = 3200
And divide both sides by 20:
n = 160.
Thus, the answer is [tex]\boxed{160{\text{\:or\:D.}}}[/tex]
Hope this helps!
Help please it’s timed :)
What is the value of h?
H = 20
VALUE OF H IS 20
WHEN YOU ADD 20 AND 20 IT WILL GIVE 40
The value of h using concept of missing angles is: h = 55
How to find the missing angle?We know that the sum of angles on a straight line is 180 degrees.
Thus, the remaining two internal angles of the triangle are:
180 - 2h and 180 - 2h
We also know that the sum of angles in a triangle is 180 degrees. Thus:
180 - 2h + 180 - 2h + 40 = 180
400 - 4h = 180
4h = 400 - 180
4h = 220
h = 220/4
h = 55
Read more about missing angles at: https://brainly.com/question/28969239
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A triangular prism has an equilateral triangle base
whose sides are 6 meters. The height of the prism is
35 meters, and the height of the base is 5.2 meters
What is the lateral surface area of the prism?
Idk 77
Answer:
630 square meters.
Step-by-step explanation:
Given:
A triangular prism has an equilateral triangle base whose sides are 6 meters. The height of the prism is 35 meters, and the height of the base is 5.2 meters.
Question asked:
What is the lateral surface area of the prism?
Solution:
As we know:
[tex]Lateral\ surface\ area\ of\ the\ prism=Perimeter\ of\ the\ base\times height\ of\ the\ prism[/tex]
Perimeter of the equilateral triangle base = 6 + 6 + 6 = 18 meters
The height of the prism = 35 meters
Lateral surface area of the prism = 18 [tex]\times[/tex] 35 = 630 square meters.
Thus, lateral surface area of the prism is 630 square meters.
The Rivera and Patel families each bought a car at the same time.
The resale values, in dollars, of each car are modeled by these functions, where x is the number of years that the family has owned the car.
Options; Pastel or Rivera
Options 2; equal to, faster than, slower than
Answer:
Pastel and faster than
Step-by-step explanation:
The Patel family’s car had the greater initial resale value. During the first six years, the resale value of the Rivera family’s car decreases at an average rate faster than the resale value of the Patel family’s car.
Patel
faster than
1. Two vehicles arrive at an uncontrolled
intersection from different streets at the
same time
a. The driver on the night must yield to the
vehicle on the left
b. The driver on the left must yield to the vehicle
on the right
c. Both vehicles must stop.
d. Neither vehicle must stop.
Help me with this please please
Answer:
f(x) = 2·5^x . . . b = 5; a = 2f(x) = (9/2)(2/3)^x . . . b = 2/3; a = 9/2f(x) = (1/2)4^x . . . b = 4; a = 1/2Step-by-step explanation:
Actually, the lesson is giving you wrong information. The exponential function written in the example does not work for the point (4, 24).
Here's another way to look at it.
Given
two points: (x1, y1) and (x2, y2)
Solution
The exponential function can be written as ...
y = (y1)(y2/y1)^((x -x1)/(x2 -x1))
Example
For the example points, the function would be ...
y = (6)(24/6)^((x-2)/(4-2)) = 6·4^(x/2 -1) = (6/4)(4^(1/2))^x = (3/2)2^x
Check
For x=2, y=(3/2)2^2 = 6. For x=4, y = (3/2)2^4 = 24.
You will notice that we figure out "b" and "a" as a part of the process of simplifying the equation. The equation would work perfectly well without simplification.
_____
1. Given points (2, 50) and (3, 250), the equation is ...
f(x) = 50(250/50)^((x -2)/(3 -2)) = 50·5^(x -2) = (50/25)5^x
f(x) = 2·5^x . . . b = 5; a = 2
__
2. Given points (1, 3) and (2, 9/2), the equation is ...
f(x) = (3)(3/(9/2))^((x -1)/(2 -1)) = (3)(2/3)^(x -1) = (3/(2/3))(2/3)^x
f(x) = (9/2)(2/3)^x . . . b = 2/3; a = 9/2
__
3. Given points (3, 32) and (4, 128), the equation is ...
f(x) = (32)(128/32)^((x -3)/(4 -3)) = (32)4^(x -3) = (32/64)4^x
f(x) = (1/2)4^x . . . b = 4; a = 1/2
_____
Additional comments
The usual rules of exponents are useful in this:
a^(b+c) = (a^b)(a^c)
a^(bc) = (a^b)^c
a^-b = 1/a^b
Jennifer likes to play tennis. Last year, Jennifer played tennis $19$ days in each of the months of January, February, March, and April, she played tennis $20$ days in each of the months of May, June, July, and August, and she played tennis $21$ days in each of the months of September, October, November, and December. How many days did Jennifer play tennis last year?
Answer:
240
19 times 4=76
20 times 4=80
21 times 4=84
Answer:240
Step-by-step explanation:
Bridget bought 10 bags of beans. There are b beans in each bag. Write an expression that shows how many beans Bridget bought.
The plot shows the temperatures (in ºF) for a group of children who visited a doctor’s office.
A plot shows the temperature of children at a doctor's office. 1 child had a temperature of 96 degrees; 2, 97 degrees; 5, 98 degrees; 2, 99 degrees; 1, 100 degrees.
What conclusions can be drawn from the data set? Check all that apply.
The measures of center are the same.
The interquartile range is 4.
There is little variability in the data.
The average temperature is 98.
The data is clustered around the mean.
Answer:
its 1,3,4,5
Step-by-step explanation:
took the test
Answer:
1
3
4
5
Step-by-step explanation:
I took the test, and just got it correct!
Solving equations and the distributive property
Answer:
x=3
Step-by-step explanation:
6(4x+1) = 78
Distribute
24x+6 = 78
Subtract 6 from each side
24x +6-6 =78-6
24x = 72
Divide each side by 24
24x/24 = 72/24
x =3
Answer:
x = 3
Step-by-step explanation:
6 (4x + 1) = 78
4x + 1 = 78 ÷ 6
4x + 1 = 13
4x = 13 - 1
4x = 12
x = 3
What is the length of the base of a right triangle with an area of 20 m and a height of 4 m?
Next
Answer: 5 m
Step-by-step explanation:
height x base = area
4x=20
x=20÷4
x=5
base= 5m
Find the equation of the line that is perpendicular to y = 2x + 8 and passes though the point (8, –8).
Answer:
y= -1\2x-4
Step-by-step explanation:
y=mx+c
perpinicular means you flip the slop and change the sign so the slope(m) become -1\2
y=-1\2x+c
since he gives you (8,-8) meaning x=8 and y= -8
we substitute
-8=(-1\2 x 8) +c
now we isolate c
-8+4=c
c=-4
the equation will be
y= -1\2x-4
Factor the following polynomial: 7x (a - b) - 3y (a - b)
(a-b)(7x-3y)
_________________
HELP! solve the set of equations. SHOW ALL STEPS
Answer:
Step-by-step explanation:
sub 3x+20 into x²+2x
3x+20=x²+2x
x²-x-20
=(x-5)(x+4)
x=5,-4
Plus x values into y=3x+20
When x=5
y=33
When x=-4
y=8
when x=5 y=33
and when x=-4 y=8
Hope it helps!!
A system of
equations with infinitely many solutions would be represented on a graph
by parallel lines.
True
or
False
Answer:
A system of
equations with infinitely many solutions would be represented on a graph
by parallel lines.
True
or
False
It would be True
Step-by-step explanation:
An online media service offers video and music downloads. Each download of a song costs $1.50. Each download of a video costs 2 times as much as the song download. You have a credit of $60. How many songs can you purchase after buying 15 videos?
Answer:10
Step-by-step explanation:
if a song costs $1.50 and a video is 2 times that amount of a song, then the video would cost $3. you have a balance of $60. you by 15 videos to start. i multiplied $3 by 15 to get the cost of the movies, witch is $45. after i got the cost of the movies i subtracted the $45 from the over all amount, i got 15. now to the songs. i have $15 to get music. 2 songs costs $3( 1.50+1.50= 3.00). 4 songs would cost $6. 8 songs would cost $12. after that i just added 1.50 until i hit a total of 15. so you can get 10 songs for $15
After buying 15 videos, you can purchase 10 songs with your $60 credit. Each video costs $3.00 and each song $1.50. After buying the 15 videos for $45, you have $15 left for songs.
Explanation:The subject matter of this question falls under Mathematics, specifically operations involving money and elementary algebra. This kind of problem is typically encountered by middle school students, hence the grade level.
In order to answer the question, here's a step by step solution: First, we need to know the cost of downloading a video. Since each download of a video costs 2 times as much as the song download, and the song download costs $1.50, then the video download costs 2 * $1.50 = $3.00. If you plan to buy 15 videos, the total cost would be 15 videos * $3.00/video = $45.00.
Subtracting this amount from your $60 credit, you'll have $60 - $45 = $15 left. Given that the cost of a song download is $1.50, you can therefore purchase $15 / $1.50/song = 10 songs.
So, after buying 15 videos, you can still purchase 10 songs with your $60 credit.
Learn more about Math Budgeting here:https://brainly.com/question/30478565
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Find values that make the sentence correct 1). 6/8=x/12=x/16
Answer:
x = 9 and 12
Step-by-step explanation:
6/8 = x/12 = x/16
Simplify
3/4 = x/12 = x/16
Multiply 3/4 by 3/3 (does nothing but changes the number)
9/12 = x/12
x = 9
Multiply 3/4 by 4/4 ( also does nothing)
12/16 = x/16
x = 12
There is no values of X that will make the expression correct
The area of the rectangular garden is 38 1/4 square meters the width of the garden is 4 1/2meters find the length of the garden
Answer:
Area = Length * Width
38 1/4 = L * 4 1/2
L = (38 1/4)/(4 1/2) = (153/4)/(9/2) = (153 * 2)/(4 * 9) = 17 1/2
Step-by-step explanation:
(-5,-5) and (3,7)
What is the slope
Step-by-step explanation:
Given
( - 5, -5) and ( 3 , 7)
Slope (m)
= (y2 - y1) / (x2 - x1)
= ( 7 + 5) / (3 +5)
= 12/8
= 3/2
Answer:
The slope is 1.5
Step-by-step explanation:
7 + 5/3+5 = 1.5