Use the properties of logarithms and the values below to find the logarithm indicated. Do not use a calculator to evaluate the logs. Show your work on the right using the draw tool. Log rules are included for reference at the bottom of the slide.
Answers
Answer:
02.
Step-by-step Explanation
[tex]log \frac{3}{2} \\ \\ = log \frac{3 \times 4}{2 \times 4} \\ \\ = log \frac{12}{8} \\ \\ = log 12 - log 8 \\ \\ = 1.1 - 0.9 \\ \\ = 0.2 \\ \\ \huge \red{ \boxed{log \frac{3}{2} = 0.2}}[/tex]
Answer: 0.2
Step-by-step explanation:
We have to find [tex]log \frac{3}{2}[/tex].
We are given log 12 and log 8, the farthest.
Subtract to find the number you have to multiply by.
3 x 4 = 12 and 2 x 4 = 8.
Our next fraction will be [tex]log \frac{12}{8}[/tex]
Now, subtract log 12 (1.1) by log 8 (0.9)
1.1 - 0.9 = 0.2
So, the answer to the question is 0.2
Related Questions
Find three consecutive odd integers such that the sum of the smallest number and middle number is 27 less than 3 times the largest number
Answers
Answer:
x+(x+2) = 3(x+4) -27
Step-by-step explanation:
Let's look at all the parts.
Consecutive odd integers... that means that if x is the first one, then x+2 will be the next largest one, and x+4 will be the largest one. So if x is 5, x+2 is 7, and x+4 is 9.
Jaiden wants to buy a new pair of jeans. If the jeans were originally $80.00, but are on sale with a 25% discount, how much will Jaiden have to pay for the jeans?
Answers
Answer:
he would have to pay $60
Step-by-step explanation:
The price of jeans that Jaiden has to pay after the discount will be equal to $60.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Original price of jeans = $80
Percentage discount on sale = 25%
Then, the discount of price on the jeans will be,
80 × 25/100 = $20
Then, the price of jeans after the discount will be,
$80 - $20 = $60
To know more about Percentage:
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ball is thrown 40 meters above ground. the height of the ball from the ground level after t seconds is defined by using the function h(t)=40t-5t^2. how long will the ball take to hit the ground
Answers
Answer:
The ball will take 8.90 seconds to hit the ground.
Step-by-step explanation:
The height of a ball after t seconds is given by:
[tex]h(t)=40t-5t^2[/tex]
Determine how long will the ball take to hit ground level. Since the gound is 40 meters below the throwing point:
[tex]40t-5t^2=-40[/tex]
Rearranging:
[tex]5t^2-40t-40=0[/tex]
Simplifying by 5:
[tex]t^2-8t-8=0[/tex]
Solving the quadratic equation with the formula:
[tex]\displaystyle t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
With a=1, b=-8, c=-8
[tex]\displaystyle t=\frac{8\pm \sqrt{64+32}}{2}[/tex]
[tex]\displaystyle t=\frac{8\pm \sqrt{96}}{2}[/tex]
There are two solutions:
t=8.90 sec, t=-0.90 sec
Due to the nature of the problem, t cannot be negative, thus:
The ball will take 8.90 seconds to hit the ground.
Ac=20 bc=2x+12 ab=2x+8find x
Answers
40 + 4x
Answer:
x = 0
Step-by-step explanation:
AB + BC = AC
therefore
2x+8 + 2x+ 12 = 20
combine like terms
4x+ 20 = 20
Subtraction property of equality
4x + 20 - 20 = 20 - 20
4x = 0
Division property of equality
4x/4 = 0/4
x=0
Show work please.... thanks
Answers
Answer:
[tex]x=-155/6[/tex]
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write equation
[tex]\frac{x}{5} -7=\frac{2x+3}{4}[/tex]
Step 2: Solve for x
Convert 7 to fraction: [tex]\frac{x}{5} -\frac{35}{5} =\frac{2x+3}{4}[/tex]Combine fractions: [tex]\frac{x-35}{5}=\frac{2x+3}{4}[/tex]Cross multiply: [tex]4(x-35)=5(2x+3)[/tex]Distribute: [tex]4x-140=10x+15[/tex]Subtract 4x on both sides: [tex]-140=6x+15[/tex]Subtract 15 on both sides: [tex]-155=6x[/tex]Divide both sides by 6: [tex]-155/6 = x[/tex]Rewrite: [tex]x=-155/6[/tex]Answer:
x = -25.83333333
or as a fraction
-155/6
Step-by-step explanation:
Which pair of angles are corresponding angles?
Answers
Answer:
Corresponding Angles
Step-by-step explanation:
Both [tex]\angle 4[/tex] and [tex]\angle 8[/tex] are Corresponding Angles, they are in the same side of the transversal line, and where a line crosses two other lines.
Step-by-step explanation:
<4 and <8 are corresponding angles because they are on the same side of the transversal and are at the same location and they are congruent meaning they are equal
During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by the equation s = 10│x - 4│+ 50 where s represents the sound level in decibels and x represents the number of measures of music played. Explain in words each step to find the following question:
At what number(s) measures played would the sound level be at 80 decibles?
( I need the answers, plus the steps please and thank youuu :)
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the model:
s = 10│x - 4│+ 50
s represents the sound level in decibels and x represents the number of measures of music played
To find x at s = 80
The equation becomes /
80 = 10│x - 4│+ 50
Subtract 50 from both sides of the equation
80 - 50 = 10 |x - 4| + 50 - 50
30 = 10 | x - 4 |
Divide both sides by 10
30/10 = 10|x - 4| / 10
3 = |x - 4|
|x - 4| is an absolute value expression
±3 = |x - 4|
x = 3 + 4 = 7
x = - 3 + 4 = 1
Are the ratios 15:10 and 3:2 equivalent? yes no
Answers
Answer:
yesss they are
Answer:yes
Step-by-step explanation:
find two numbers adding to 40 such that the sum of their square is as small as possible
Answers
Answer: 20+20
Step-by-step explanation: The sum of their square is 800 which is the lowest i've found so far
Compared to its parent function the transformation of the following : y= -3x - 3 + 4
a) reflected respect to x-axis, stretched vertically, moved 3 to the left and 4 up
b) stretched horizontally, moved 3 to the right and 4 up
c) reflected with respect to x-axis, stretched vertically, moved 3 to the right and 4 up
d) stretched horizontally, moved 3 to the left and 4 down
Answers
Hope it helps!!
10. Emmilynn gets paid $975 each month. If she opens a savings account with a $100 check she
received for her birthday and deposits her pay checks each month after that, write a function for the
total amount of money in her savings account based on how many months the account has been open.
Then tell what the domain (x values) and range (y values) represent.
Function:
Domain:
Range:
11. Kevin needs to get his truck fixed. The mechanic tells Kevin the part he needs will cost $75 and
there will be a fee of $60 per hour for labor. If the total cost to fix his truck is a function of the number
of hours the mechanic has to work (labor) on the truck, write a function to represent this situation.
Then tell what the domain (x values) and range (y values) represent.
Function:
Domain:
Range:
Answers
Answer:
uh uh uh uh uh I'll try uh uh uh uh uh
QUIZ
Active
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2
3
4
8
10
Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?
y = 2x - 2
y = 2x + 2
y = x + 2
y = x-2
Answers
It starts out at (0,2) which means it needs to be up 2 from the parent graph (y = x). Then using the slope equation, the slope is 1
write 23.4571 correct to ,
a,4 significant figure
b,the nearest 10
Answers
Answer:
I would say B
Step-by-step explanation:
what is 32.72 rounded to the nearest tenth
Answers
Answer:
32.7
Step-by-step explanation:
Two doesn't round up seven, so it just gets knocked off the end.
HELP PLEASE ANSWER ALL THREE OF THEM IM TIMED AND IM SUPPOSE TO DO THEM NOW
Answers
Answer:
35.72 is the answer to the problem
From the diagram below, if the measure of < <= 30°, and side AB = 16, then side AC =
Select one:
a.
b.8
C.32
d. 16
plsss help it’s for geometry 2
Answers
Answer:
32
Step-by-step explanation:
The length of AC as per he sine of an angle is 32.
What is the sine of an angle in a right angle triangle?The sine of an angle is the ratio of the height and the hypotenuse of the triangle.
Given, ∠C = 30°
AB = 16
Therefore, sin ∠C = (AB/AC)
Therefore, sin (30°) = 16/AC
⇒ (1/2) = 16/AC
⇒ AC = 2 × 16
⇒ AC = 32
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Can someone help me out with this problem
Answers
Answer:
x = 117°
Step-by-step explanation:
Vertically opposite angles are equal
One of the triangle's properties is that the exterior angle is the sum of the opposite angles (interior angles)
i don’t know how much she need to make
Answers
Answer:
4
Step-by-step explanation:
She can make 4. Have an amazing day
If the distance between opposite numbers on a line is 8 units, what are the opposite numbers? Pls hurry
Answers
Answer:
-4 and 4
Step-by-step explanation:
You count between the zeros like when you jump on a number line or just don't count the zero
_ _ _ _ _ _ _ _
-4, -3, -2 ,-1, 0, 1, 2 ,3, 4
I'm not 100% so plz tell if right!! I'm 90% sure.
Answer:
1 and -7
Step-by-step explanation:
What is the GCF of 18x^2, 6x
Answers
Answer:
6x - Goes both into 18x^2 and 6x evenly.
What’s 6•5+-36 divided by 6
And the dot is multiplication!
Answers
Answer:
the answer is -1 this is correct because a calculator is alwayd your frie d
Answer: -1
Step-by-step explanation:
6 times 5 is 30, then you add negative 36, which is really subtraction, so you get -6 divided by a positive 6 (negative divided by a positive is negative) which gives you -1
Simplify.
3/4 squareroot -48
Answers
Answer:
3i √3
Step-by-step explanation:
you can't have the square root of a negative number
so we use "i"
At a charity fund raiser , adult tickets were sold for 8$ children each and children’s tickets were sold at 2$ each. write an algebraic expression for the total amount raised from the sale of tickets. How much money was raised if the fundraiser sold 238 adult tickets and 375 children’s tickets?
Answers
Answer:
2,654$
Step-by-step explanation:
8a + 2c
8 x 238 = 1,904
2 x 375 = 750
750 + 1,904 = 2,654
2,654$
Hopefully this helps you
pls mark brainlest
72.4 divided by 4 please help!!!!
Answers
Answer:18.1
Step-by-step explanation:
Evaluate 6p - 3 when p = 2
Answers
Answer:
9
Step-by-step explanation:
since you replace the p with 2 the 6 and 2 are close to each other so that means you multipli so 6x2=12-3=9
What is the side length,s,of the square?enter your answer in the box
3. How would you classify the
number 125?
A) perfect square
B) perfect cuber one
C) both a perfect square and a
perfect cube
D) neither a perfect square nor a
perfect cube
Answers
This is my question
Answers
[tex]f(x) = (x - 4)(x - 3) \\ g(x) = \frac{7}{(x - 4)(x + 4)} \\ f.g = (x - 4)(x - 3) \times \frac{7}{(x - 4)(x + 4)} \\ (x-4)s \: are \: simplified \\ f.g = \frac{(x - 3) \times 7}{x + 4} = \frac{7x - 21}{x + 4} \\ (f.g) (x) = \frac{7x - 21}{x + 4} [/tex]
To be honest, everything!
Answers
Answer:
?
Step-by-step explanation:
Answer:
same
Step-by-step explanation:
same
Please help I’m stuck
Answers
Answer: your answer would be c (-12,-24)
Step-by-step explanation: the coordinates of R is (-2,-4) so you do 6 times -2 which gives you -12 and then 6 times -4 which gives you -24. You put the numbers together which makes (-12,-24).
I hope this helps you out stay safe.
a+c=r- d Solve for a .
A a =p+d-c
B
a=c+p-d
C a = d+r+c
D a=r-d-c
Answers
Answer:
D
Step-by-step explanation:
a + c = r - d
a = r - d - c