What is 3lna+lnb−lnc written as a single logarithm?
Answers
Answer: here's the answer
Related Questions
A local car dealer has 150 cars on the lot. 30% of the cars are sedans. How many of the cars are NOT sedans?
Answers
Answer:
105 cars
Step-by-step explanation:
150cars=100%
and if 30% of the cars are sedans then the cars which are not sedans is
100%-30% =70%
if 150 cars=100%
? cars=70%
if less more devides
70%/100%×150cars
all zeros cancel which would be left with
7× 15
105 cars.
Answer:
The answer is 105
So that 30% of those cars are 45 Sedans of the 150 cars.
Now we need to find out how many cars are in that remaining 70%
In order to do this we need to subtract 45 from 150
So 150 minus 45 is 105
Finally, we know that that remaining 70% is 105 cars that aren't Sedans.
So 105 cars are not Sedans.
1. Using the figure below, what is the measure of angle ABE?
Answers
Answer:
The angle of ∠ABE is 40°.
Step-by-step explanation:
Given that ∠ABE and ∠CBD are opposite vertical angles so they have the same measure of angles.
Because ∠ABE and ∠CBD are vertical angles, ∠ABE = ∠CBD = 40°.
please mark me brainliest :)
The ratio of the measurement of an angle to its supplement is 3:5. Find the measurement of the angle and its supplement.
-7th grade math
Answers
Answer:
The measurements of the two angles are 67.5° and 112.5°
Step-by-step explanation:
We can set up the equation just like a normal equation when you are finding x. Once we know what x is, then we can use that number and multiply it to 3 and 5 to find the measurements of the angles.
3x + 5x = 180
Combine like terms.
8x = 180
Divide 180 by 8.
x = 22.5
Now, we plug in x to 3 and 5.
3 * 22.5 = 67.5
5 * 22.5 = 112.5
Just to make sure our work is correct, let's add these numbers together.
67.5 + 112.5 = 180
The measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.
What is supplementary angle?When the sum of the two angle are equal to the 180 degrees, then these angles are called the supplementary angle of each other.
The ratio of the measurement of an angle to its supplement is 3:5. Let, the ratio,
[tex]\dfrac{3}{5}=x[/tex]
As, these angles are supplementary to each other. Thus,
[tex]3x+5x=180\\8x=180\\\x=\dfrac{180}{8}\\x=22.5[/tex]
Thus, the measurement of the angle is,
[tex]3x=3\times22.5\\3x=67.5[/tex]
The measurement of the supplement of the angle is,
[tex]5x=5\times22.5\\5x=112.5^o[/tex]
Hence, the measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.
Learn more about the supplementary angle here;
https://brainly.com/question/12919120
there are 18 animals in a pet store some are birds and others are dogs. there are 50 legs in total. how many dogs are there
Answers
Answer:
I believe the answer will be 36 for the dog legs.
Step-by-step explanation:
first you get a calculator
then you type in 18 divided by 50
then you hit enter
then the answer will come up as 0.36
Consider the function and its inverse. and When comparing the functions using the equations, which conclusion can be made? The domain of f(x) is restricted to x ≥ 0, and the domain of f–1(x) is restricted to x ≥ 0. The domain of f(x) is restricted to x ≥ 0, and the domain of f–1(x) is restricted to x ≤ 0. The domain of f(x) is restricted to x ≤ 0, and the domain of f–1(x) is restricted to x ≥ 4. The domain of f(x) is restricted to x ≤ 0, and the domain of f–1(x) is restricted to x ≤ 4.
Answers
Answer:
It’s actually C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Find x in the given figure if m∠AOC = 130°. Question 7 options: A) –14 B) 8 C) 10.5 D) 14
Answers
Answer:
B) x=8
Step-by-step explanation:
To solve, we must find x like so:
We know that angle AOC = 130, so adding AOB and BOC will equal 130, then we solve for x.
[tex](6x-5)+(8x+23)=130\\6x-5+8x+23=130\\14x+18=130\\14x=130-18\\14x=112\\x=\frac{112}{14}\\x=8[/tex]
Does the point (4, 0) satisfy the equation y = –5x + 4?
Answers
Answer:
no
Step-by-step explanation:
y = –5x + 4
Substitute the point into the equation
0 = -5(4) +4
0 = -20+4
0 = -16
This is not true so it is not a solution to the equation
So...
0 = -5(4) + 4
0 = -20 + 4
0= - 16
So no this is wrong as they do not equal.
Hope this helps! :)
Does (3, 3) make the equation y = x true?
Answers
Answer:
yes
Step-by-step explanation:
Substitute the points into the equation
y =x
3=3
This is true so (3,3) is a solution
What is the slope of the line shown below?
10
(6,2)
10 (-2,-3)
10
10-
O
A.
olm
O
B.
LOCO
O c.
D.
O
100
Helpppppp
Answers
Find the rate of change for each linear function
decrease of 22 m/min
Decrease of 22 min/m
Increase of 22 m/min
Decrease of 20 m/mm
Answers
Answer:
Answer = decrease of 22 m/min
A sloth is climbing down a tree at a constant speed. The sloths height changes by -55 feet in 11 minutes. Which expression represents change in the sloths height each minute?
-55•(-11)
-55•11
-55 divided by 11
-55 divided by (-11)
Answers
-55 divided by (-11)
Because you can have a negative minute after dividing
Which type of line is shown below
Answers
Type of lines ? Not the best question.
Answer: Perpendicular, first choice
The little 90 degree angle indicator at the intersection marks these lines as meeting at a right angle, which is called perpendicular.
HURRY HELP PLEASE THANKS
Solve the equation. Don't forget to first simplify each side of the equation, if possible. Check each solution.
[tex]\frac{2}{3}x+1=-\frac{1}{3}x+9[/tex]
Answers
Answer:
x = 8
Step-by-step explanation:
Add [tex]\frac{1}{3}x[/tex] to both sides.
x + 1 = 9
Subtract one on both sides.
x = 8
Answer:
x = 8
Step-by-step explanation:
2/3x + 1 = -1/3x + 9
x + 1 = 9
x = 8
Five of Teddy’s six cousins can
do 15 push-ups in one set. Which
decimal is equivalent to the fraction
of Teddy’s cousins who can do
15 push-ups?
Answers
Answer: 0.83
Step-by-step explanation:
The fraction of Teddy's cousins what can do push-ups is [tex]\frac{5}{6}[/tex]. We get this fraction because the problem states that 5 of Teddy's 6 cousins can do 15 push-ups. Now that we have our fraction, we divide to get our decimal.
[tex]\frac{5}{6} =0.83[/tex]
Answer:
0.83 with the 3 as the repeating number (3 with the line over it)
Step-by-step explanation:
5 divided by 6
Which statement is true about the right angles ABC and DEF
Answers
Which equation can be used to find the measure of angle LKJ?
cos−1(StartFraction 8.9 Over 10.9 EndFraction) = x
cos−1(StartFraction 10.9 Over 8.9 EndFraction) = x
sin−1(StartFraction 10.9 Over 8.9 EndFraction) = x
sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x
Answers
Answer:
fourth option
Step-by-step explanation:
Using the sine ratio in the right triangle.
sin JKL = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{JL}{KJ}[/tex] = [tex]\frac{8.9}{10.9}[/tex] , thus
x = [tex]sin^{-1}[/tex] ([tex]\frac{8.9}{10.9}[/tex] )
Answer:
D. [tex]sin^{-1} (\frac{8.9}{10.9} ) = x[/tex]
Step-by-step explanation:
Sin is used to find the side length of a right triangle using angle degrees. However, this is using the inverse. The ratios are still the same, though.
sin(x) = 8.9/10.9 because it is the opposite side's length over the hypotenuse length. Making it the inverse would make it D.
pls help fast this is khan academy
Answers
Answer:
A
Step-by-step explanation:
The two angles given are vertical angles because they are opposite of each other
Hey!!
<a and <b are vertically opposite angles.
Vertically opposite angles are always equal.
Hope it helps..
Good luck on your assignment
If you had an additional 1.65 pounds to download songs, how many more songs could you have downloaded? Write and solve an equation to solve the problem. Describe the step-by-step process you used to solve the problem
Answers
you could download 2 more songs.
X.59, where X stands for the number of songs downloaded, and .59 for the price of the song. 2*.59=1.18, or you could add .59+.59+.59=1.77, and 1.77 > 1.65, meaning you wouldn't afford the third song
For question 25 please pick 1,2,3 or 4
Answers
Answer:
4.
[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]
Step-by-step explanation:
[tex]18x^2-24x+87=0[/tex]
Using Quadratic Formula
[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]
[tex]$x=\frac{-\left(-24\right)\pm \sqrt{\left(-24\right)^2-4\cdot \:18\cdot \:87}}{2\cdot \:18}$[/tex]
Solving the discriminant:
[tex]\Delta = \left(-24\right)^2-4\cdot \:18\cdot \:87\\\Delta = 576-6264\\ \Delta=-5688[/tex]
[tex]$x= \frac{24 \pm \sqrt{-5688} }{36} $[/tex]
[tex]$x= \frac{24 \pm \sqrt{5688i} }{36} $[/tex]
Once [tex]\sqrt{5688} =\sqrt{2^3\cdot \:3^2\cdot \:79}=6\sqrt{158}[/tex]
[tex]$x=\frac{24\pm6\sqrt{158}i}{36}$[/tex]
Dividing the denominator and numerator by 6
[tex]$x=\frac{4\pm \sqrt{158}i}{6}$[/tex]
Now rewrite it:
[tex]$x=\frac{4}{6} \pm i\frac{\sqrt{158}}{6}$[/tex]
[tex]$x=\frac{2}{3} \pm i \frac{\sqrt{158}}{6}$[/tex]
or
[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]
Solve for x and y adding
2x + 4y = 16
-5x-4y = 16
Show work
Answers
Answer:
x = -32/3
y =28/3
Step-by-step explanation:
2x + 4y = 16
-5x-4y = 16
Add the equations
2x + 4y = 16
-5x-4y = 16
--------------------
-3x = 32
Divide each side by -3
x = -32/3
Now solve for y
2x+4y = 16
2(-32/3) +4y = 16
-64/3 +4y = 16
Multiply each side by 3 to get rid of the fractions
-64 +3*4y = 16*3
-64 + 12y = 48
Add 64 to each side
12y = 112
Divide by 12
12y/12 = 112/12
y =28/3
help me i’m in need
Answers
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Example: (View attached image below). Table A is a function because each x value has only 1 y value. But Table B is not a function because the x value of 4 has 2 y values.
Answer:
D No, because on x values corresponds to two different y values
Step-by-step explanation:
This is not a function because an input has two different outputs
x=5 has two different y values
The circumference of the earth is given.
What is the diameter of earth? Round your answer to the nearest tenth. Use 3.14 for π.
Enter your answer in the box below.
____miles
Answers
Answer:
Diameter of the earth is 7930.25 miles
Step-by-step explanation:
To find the diameter of the earth, we will follow the steps below:
first write the formula of the circumference
c = 2πr ---------------------------------------------------------------------------------------------(1)
where r is the radius and c is the circumference
from the diagram below, circumference is given to be 24901 miles
π = 3.14
substitute the value of c and π into equation (1) and solve for r
c = 2πr
24901 = 2 × 3.14× r
24901 = 6.28 r
Divide both-side pf the equation by 6.28
24901/6.28 = 6.28 r/6.28
3965.1274≈ r to the nearest tenth
r≈ 3965.1274 miles
But diameter = 2r
diameter = 2 × 3965.1274
diameter ≈ 7930.25 to the nearest tenth
Diameter of the earth is 7930.25 miles
Answer:
7930.3milesStep-by-step explanation:
The earth is spherical in shape. The formula for calculating the circumference of a sphere is πd where d is thee diameter of the earth.
C = πd
Given C = 24, 901miles and π = 3.14, on substituting,
24, 901 = 3.14d
d = 24,901/3.14
d = 7930.255
d ≈ 7930.3miles to the nearest tenth
Applying the translation (x, y) → (x – 3, y + 7) maps the point (–4, 7) onto the point ________. Question 16 options: A) (–7, 14) B) (14, –7) C) (7, –14) D) (14, 7)
Answers
Answer:
A
Step-by-step explanation:
(-4-3, 7+7)
(-7, 14)
Answer: A
Step-by-step explanation:
this is khan academy and i need it fast thx
Answers
Answer:
C
Step-by-step explanation:
The angles are supplementary because all the angles add up to 180 and they form a straight line together.
951/3 i dont under stand
Answers
Answer:
317 IS THE ANSWER
Step-by-step explanation:
The right answer is 317
please see the attached picture for full solution.
hope it helps
good luck on your assignment
What does this mean and can someone give me an example for number 1 ?
Answers
Sarah is making lemonade where she adds 2 parts lemon juice to 3 parts water.
a. Write the ratio of lemon juice to water as a fraction and in ratio form.
b. Sarah has 1 1/2 cups of lemon juice, write and solve a proportion to find out how much water she needs.
c. Write and solve a proportion to find out how much lemon juice she should add to 9 cups of water.
d. What percent of the lemonade is lemon juice? What percent is water?
e. She makes the lemonade, but her friend complains that it is too weak. Write a ratio of lemon juice to water that may fix the problem
f. Does Sarah need more lemon juice than water to make it stronger?
Answers
Answer:
a. 2/5 and 2:3
b.
c. 6
d. 40% and 60%
Step-by-step explanation:
a) The ratio of lemon juice to water as a fraction can be expressed as: 2/3.
b) The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice, is: 2.25 cups
c) The amount of lemon juice Sarah should add to 9 cups of water is: 6 Cups
d) 40% of the lemonade is lemon juice, and 60% is water.
e) She should increase the ratio to 3:2
f) Yes, Sarah would need more lemon juice than water to make the lemonade stronger.
How to solve Ratio Problems?a. The ratio of lemon juice to water as a fraction can be expressed as: 2/3.
b. The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice, is solved as:
1¹/₂ cups of lemon / water = 2/3
³/₂ cups of lemon / water = 2/3
Cross multiply to get:
water = 9/4
water = 2.25 cups
c. The amount of lemon juice Sarah should add to 9 cups of water is as follows:
lemon juice / 9 = 2/3
Cross multiply to get:
lemon juice = 18 / 3
lemon juice = 6 cups
d. The percentage of lemon juice and water in the lemonade if the total volume is 5 cups is:
Lemon juice: (2/5) * 100% = 40%
Water: (3/5) * 100% = 60%
e. What Sarah can do is to increase the ratio of lemon juice to water. One possible ratio could be 3 parts lemon juice to 2 parts water, or 3:2.
f. Yes, Sarah would need more lemon juice than water to make the lemonade stronger.
Read more about Ratio Problems at: https://brainly.com/question/12024093
#SPJ1
||x-5|+2|<=3
please help
Answers
Answer:
x e [-10,-4]
Step-by-step explanation:
||x-5|+2|≤3
|x+5+2|≤3
|x+7|≤3
x+7≤3
x≤-4
x+7≥-3
x≥-10
x e [-10,-4]
Algebraically find the roots of the quadratic equation: w2 + 8w+ 15 = 0
(HINT: You may factor or use the quadratic formula)
Answers
Answer:
w = - 5, w = - 3
Step-by-step explanation:
Given
w² + 8w + 15 = 0
Consider the factors of the constant term (+ 15) which sum to give the coefficient of the w- term (+ 8)
The factors are + 5 and + 3 , since
5 × 3 = 15 and 5 + 3 = 8 , thus
(w + 5)(w + 3) = 0 ← in factored form
Equate each factor to zero and solve for w
w + 5 = 0 ⇒ w = - 5
w + 3 = 0 ⇒ w = - 3
Which sentence would be a good counter example to this statement ?
A line can exist in only one plane.
A. A line intersects one plane and the another.
B. A line is to one plane at a time.
C. A line that is Coplanar exists in more than one place.
D. A line is he intersection of two planes
Please help I need help with this
Answers
Answer:
The answer is "Option D".
Step-by-step explanation:
A line is a horizontal 1D-dimensional representation without any thickness and extends in every way. It sometimes is also known as the straight line. The line, which connects two planes lies simultaneously on both planes, that's why in this question only "option D" is correct.
Answer:
D>
Step-by-step explanation:
