[tex] ln({x}^{3} - 4x) - ln(x {}^{2} - 2x ) [/tex]
can be written as;
[tex] ln( \frac{ {x}^{3} - 4x }{ {x}^2 - 2x } ) [/tex]
[tex] ln( \frac{x( {x}^{2 } - 4) }{x(x - 2)} ) = ln( \frac{x(x - 2)(x + 2)}{x(x - 2)} ) [/tex]
Now all you have to do, is divide the numerator and denominator by x and by (x-2)
to get,
[tex] ln( \frac{x(x - 2)(x + 2)}{x(x - 2)} ) = ln( \frac{x + 2}{1} ) = ln(x + 2) [/tex]
We proved that ln(x³-4x)-ln(x²-2) is equal to ln(x+2) :)
find gradient for
xe^y + y e^x = 2e at (1,1)
Answer:
Step-by-step explanation:
Y
=
−
[
e
+
1
]
x
+
1
21. Find 50% of 1500 km.
Answer: 750km
Step-by-step explanation:
50% x 1500 or 1500 divided by 2
Find the value of xx, yy, and zz in the rhombus below.
Answer:
Step-by-step explanation:
Opposite angles of a rhombus are congruent, so [tex]6x+8=86 \longrightarrow x=13[/tex]
Also, adjacent angles of a rhombus are supplementary, so [tex]86+5z+4=86+7y+3=180 \longrightarrow y=13, z=18[/tex]
What is the circumference of this circle?
Answer:
8[tex]\pi[/tex]
Step-by-step explanation:
C=2[tex]\pi[/tex]r
C=2[tex]\pi[/tex]4
C=8[tex]\pi[/tex]
Pls help I’ll give brainlisest it’s 7th grade math
Answer:
-2.3 to 2.9
Step-by-step explanation:
The range is kinda self explanatory, range is the space between the lowest value and the greatest value. You can solve it by subtracting 2.9 - (-2.3)
Hope that helps and have a great day!
Assume
that you are good and beverage Director of a large
hotel
You are planning
For your New Year's Eve gala, and require a large
amount of wine and champagne. you conduct a competitive
bidding. Process with the pur veyors in you area, and, based
upan quality and price, you
place a very large order (in excess of $20,000) with a
single purve you one week later o you recieve a case
OF very expensive champagne delivered to you
home with side a nice note from the purveyor's
representative stating how much they appreciated the
order and that they are really looking forward to
doing business with you in the years ahead. What
do you do with the champagne?
Step-by-step explanation:
Assume that you are the Food and Beverage Director of a large hotel. You are planning for your New Year’s Eve gala, and require a large amount of wine and champagne. You conduct a competitive bidding process with the purveyors in your area, and, based upon quality and price, you place a very large order (in excess of $20,000) with a single purveyor. One week later, you receive a case of very expensive champagne, delivered to your home with a nice note from the purveyor’s representative stating how much they appreciated the order and that they are really looking forward to doing business with you in the years ahead. What do you do with the champagne?
Expert Answer
ANSWER From your perspective, it might not be illegal for you to accept a case of champagne. However, there could be liquor laws in your state that prohi…View the full answer
Question 3 of 10 If f(x) = 3x – 12, what is f(2)? A. –6 B. 6 C. 18 D. –18
Answer:
Your answer is D
Step-by-step explanation:
f(2) This means that x is 2, so you can plug in 2 for "x" in the equation
f(x) = 3x - 12
f(2) = 3(2) - 12
f(2) = 6 - 12
f(2) = -6
Subtract 7/8−1/12. don't know
Answer:
See below.
Step-by-step explanation:
Find the Lowest Common Multiple, or LCM of 8 and 12.
8 - 8, 16, 24
12 - 12, 24
7 x 3 = 21
8 x 3 = 24
1 x 2 = 2
12 x 2 = 24
21/24 - 2/24 = 19/24
-hope it helps
Partial product of 1,262×3
Answer:
3,786
Step-by-step explanation:
. Which of the following fractions are equivalent? A. 3 4 and 6 7 B. 2 3 and 12 13 C. 1 9 and 4 12 D. 1 6 and 3 18
Answer:
A-3/4 is the only equivalent fraction.
Step-by-step explanation:
The rest of the fractions that you have listed does not pull up as equivalent.
Could you go to my page and help me figure out how to work out my sheet for me? I need help ASAP! Someone has already tried to help me, but they did not make sense to part of my sheet and they have not yet responded. Would you be willing to help? I will mark you brainliest if correct, and give you +45 points! Thank you!
Express as a sum
a-5
(please give explanation too)
The sum is a+1*(-5) since you have a multiplication with different signs (+ -).
Multiplication Sign RulesThe rules to multiplication of numbers are:
+ + or - -The result presents a positive sign (+) because the signs are same.
+ - or - +The result presents a negative sign (-) because the signs are different.
The given function is a linear equation with one variable (a). You can rewrite the expression a-5 as a sum. See below.
a+ 1*(-5) =a-5 since when you have a multiplication with different signs (+ -).
Read more about rules for multiplication here:
https://brainly.com/question/16119150
Use a table of trigonometric values to find the angle θ in the right triangle in the following problem. Round to the nearest degree, if necessary.
sin θ = ? O = 8 H = 16
The value of θ in the given triangle is equal to 30 degrees.
Data;
opposite = 8hypothenuse = 16sin θ = ?Trigonometric RatiosTo solve this problem, we have to use trigonometric ratios on this which is SOHCAHTOA.
since sin θ is the ratio between the opposite side to the hypothenuse,
[tex]sin\theta = \frac{opposite}{hypothenuse}[/tex]
Let's substitute the values into the function and solve.
[tex]sin\theta = \frac{8}{16} \\\theta = sin^-^1 (0.5)\\\theta = 30^0[/tex]
The value of θ is equal to 30 degrees.
Learn more on trigonometric ratios here;
https://brainly.com/question/24349828
Find 3 equivalent fractions to this number. 16/40
Answer:
[tex]\frac{8}{20}[/tex] , [tex]\frac{4}{10}[/tex] , [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
to find equivalent fractions multiply or divide the numerator and denominator by the same value.
[tex]\frac{16}{40}[/tex] ( divide numerator/ denominator by 2 )
= [tex]\frac{8}{20}[/tex] ( divide numerator/ denominator by 2 )
= [tex]\frac{4}{10}[/tex] ( divide numerator/ denominator by 2 )
= [tex]\frac{2}{5}[/tex] ← in simplest form
Apply the distributive property to factor out the greatest common factor.
{22c + 33d} =22c+33d
Answer:
See below.
Step-by-step explanation:
The GCF of 22 and 33 is 11.
11(2c+3d)
-hope it helps
simplify: 4(4y-7y²)-9(5y+²)
Answer:
4.6 rounded but Im probably wrong
Step-by-step explanation:
4(4y-7Y^2) -9(5y+^2)
(16y-28y^2) -45y^2
16y =. 73y^2
y = 4.5625
g less than 45 in algebraic expression
Answer:
g<45
Step-by-step explanation:
since it says less than it faces <
solve the equations pls
Hey there!
Let's solve these equations.
The first one is
3x=15
Divide both sides by 3:
x=5 (Answer)
[tex]\rule{250}{1}[/tex]
x+4=7
x=7-4
x=3 (Answer)
[tex]\rule{250}{2}[/tex]
4y+3=11
4y=11-3
4y=8
y=2 (Answer)
[tex]\rule{200}{2}[/tex]
2x+1=13
2x=13-1
2x=12
x=6 (Answer)
[tex]\rule{200}{2}[/tex]
x/2-4=1
x/2=5
x=10 (Answer)
[tex]\rule{200}{2}[/tex]
x+3=8
x=8-3
x=5 (Answer)
[tex]\rule{200}{2}[/tex]
2y-5=1
2y=1+5
2y=6
y=3 (Answer)
_______________________
5x=40
x=8 (Answer)
_________________________
y/3+1=7
y/3=7-1
y/3=6
y=18 (Answer)
Hope everything is clear.
Let me know if you have any questions; if so, please comment.
#LearningDoesn'tEnd
#LearningIsFun
match the google drive applications to its best use.
Answer:i need brainy answered sorry
Step-by-step explanation:sorry
Answer:
first google docs second google sheets
Step-by-step explanation:
first google docs second google sheets third google forms forth google drawing 5th google maps 6th google slides
HELP ME I DONT KNOW WHAT TO DO I DONT UNDERSTAND AT ALL
Answer:
907.46 cm
I guess it may be but iam not sure
Solve the formula V = 1/3b^2 h for b.
Answer:
[tex]b=\sqrt{\frac{3V}{h}}[/tex]
Step-by-step explanation:
To solve a formula for one of its variables do that
Underline the variableSeparate it on one side and the other terms on the other sideMake its coefficient equals 1Let us use these steps to solve our question
∵ V = [tex]\frac{1}{3}[/tex] b²h
→ Underline b
∴ V = [tex]\frac{1}{3}[/tex] b²h
→ Multiply both sides by 3 to cancel the denominator on the right side
∴ 3V = b²h
→ Divide both sides by h to move it to the other side
∴ [tex]\frac{3V}{h}=b^{2}[/tex]
→ To find b take √ for both sides
∴ [tex]\sqrt{\frac{3V}{h}}=\sqrt{b^{2} }[/tex]
→ The square root will cancel the power 2 of b
∴ [tex]\sqrt{\frac{3V}{h}}=b[/tex]
→ Switch the two sides
∴ [tex]b=\sqrt{\frac{3V}{h}}[/tex]
Carlos is using a number line to add another integer to –4. He begins by showing –4 on the number line, as shown below. Carlos adds the other integer on the number line and says that the sum is negative.
A number line going from negative 5 to positive 5. The area between negative 4 to 0 is highlighted.
Which is true of the number Carlos added to –4?
The number must be a negative integer.
The number must be a positive integer.
The number could be 3 or any integer less than 3.
The number could be 4 or any integer greater than 4.
Answer:
The number must be a negative integer because -4+ any negative is a negative
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
scott wants to rent a boat and spend at most $79. The boat costs 8 per hour, and Scott has a discount coupon for $9 off. What are the possible numbers of hours Scott could rent the boat?
Answer:
11 hours
Step-by-step explanation:
Using the $79 dollars, Scott can get up to 9 hours with the boat. Scott will be left with $7, adding the $7 to the $9 coupon, Scott will then have $16 which can give Scott an additional 2 hours summing the total hours up to 11 hours Scott can rent the boat for.
for the function f(x)=1/2(x-3)2 +6, what is the value of f(2)
so basically solve f(2)=1/2(x-3)2 +6
the third two is a small two btw next to x-3
A man won a lotto jackpot and he spent 2/5 of the money on luxury cars and 1/4 on buying a house. What fraction of his lotto earnings is remaining
spent : 2/5 + 1/4 = 8/20 + 5/20 = 13/20
remains = 7/20
The 7/20th fraction of his lotto earnings is remaining.
Let us say the man has $100
Money spent on luxury cars = 2/5 of the money
Money spent on luxury cars = 2/5 * 100 = $40
Money spent on buying a house = 1/4 of the money
Money spent on buying a house = 1/4 * 100 =$25
Money left with the man = 100-40-25 = $35
$35 is what fraction of $100?$35 is 35/100 fraction of $100.
35/100 = 7/20
So, the 7/20th fraction of his lotto earnings is remaining.
Hence, the 7/20th fraction of his lotto earnings is remaining.
To get more about fractions visit:
https://brainly.com/question/78672
lewis can run a 40-yard dash in 4.8 seconds. On average, how many feet does he run per second?
over 5 seconds, a guy that runs a 4.4 runs about 5 extra yards further than a guy running a 4.9
8
9
10
TIME REMAINING
14:56
SERE
The National Weather Service keeps track of the temperature for a given day in a given city. It also keeps track of this
information at certain times during a given day. The following temperatures were recorded on a January day in New York
City.
Time of Day
10 AM 12 Noon 2 PM 4 PM 16 PM
SPM 10 PM
Temperature (°F) 30 35 36 36 34 30 28
a.
What is the average rate of change of temperature with respect to time over the evening hours from 6 PM to 10 PM?
Interpret this value in a complete sentence.
6°F degrees per hour; The temperature drops at an average rate of 6 degrees per hour from 6
PM to 10 PM
b. -6°F degrees per hour: The temperature drops at an average rate of 6 degrees per hour from 6
PM to 10 PM
C.
-1.5°F degrees per hour; The temperature drops at an average rate of 1.5 degrees per hour
from 6 PM to 10 PM.
d. 1.5°F degrees per hour; The temperature drops at an average rate of 1.5 degrees per hour from
6 PM to 10 PM
Mark this and return
Save and Exit
Nex
Submit
cript:void(0)
Answer:
D. 0.019 years of age per year
Step-by-step explanation:
40% of 40
Percentage of whole numbers (10-100)
Hello
40% de 40
(40*40)/100 =>16
please help me asap
Answer: D. The moon is located perpendicular to Earth and the sun.
Step-by-step explanation: I studied astronomy. :)
Write an equation describing the relationship of the given variables.
y varies directly as the fourth power of x and when x=3, y=162.
y =
Answer:
[tex]y = 2x^4[/tex]
Step-by-step explanation:
The given statement can be represented as:
[tex]y\ \alpha\ x^4[/tex]
[tex]x =3; y = 162[/tex]
Given
Represent this as an equation
[tex]y\ \alpha\ x^4[/tex]
Convert variation to equation
[tex]y = kx^4[/tex]
Where k is a constant of variation.
Substitute [tex]x =3; y = 162[/tex]
[tex]162 = k * 3^4[/tex]
[tex]162 = k * 81[/tex]
Solve for k
[tex]k = 162/81[/tex]
[tex]k =2[/tex]
To get the equation, we have:
[tex]y = kx^4[/tex]
Substitute 2 for k
[tex]y = 2x^4[/tex]
The equation describing the relationship of the given variables is [tex]y=\frac{81}{162}x^4[/tex]
If y varies directly to the fourth power of x, this can be expressed as:
[tex]y \alpha x^4\\y=kx^4\\[/tex]
Given that x = 3 and y = 162, the equation becomes;
[tex]162 = k(3^4)\\162 = 81k\\k=\frac{81}{162}[/tex]
Substitute the value of k into the expression above to have:
[tex]y=kx^4\\y=\frac{81}{162}x^4[/tex]
Hence the equation describing the relationship of the given variables is [tex]y=\frac{81}{162}x^4[/tex]
Learn more on direct variation here: https://brainly.com/question/6499629
Can anyone help me on this question?
Answer:
B
Step-by-step explanation:
The definition of an inverse is a reflection over y=x.