Answers
We know that log(a) + log(b) = log(ab), so lets apply that.
log(-2log(x) + log(x)(log(x^3)) = 0
If the base is supposedly 10 (of the logarithm), we can get rid of the outmost log on the right hand side by raising both sides to the power of 10, to get
-2log(x) + log(x)(log(x^3) = 10^0 = 1
We also know log(x^a) = alog(x), so lets apply that
-2log(x) + 3log(x)log(x) = 1, lets now let U = log(x)
-2U + 3U^2 = 1
3U^2 - 2U - 1 = 0,
(3U + 1)(U - 1) = 0
U = 1 or -1/3
log(x) = 1, so x = 10
log(x) = -1/3, 10^(-1/3) = x, however this is not a natural number, so x = 10
Related Questions
5 3/4 as a fraction greater then one
Answers
Answer:
23/4
Step-by-step explanation:
Answer: yes
Step-by-step explanation:
Which equation represents a linear function?
y – 2 = –5(x – 2)
x + 7 = –4(x + 8)
y – 3 = y(x + 4)
y + 9 = x(x – 1)
Answers
2) Jenny has a water tank that needs to be
filled up. The water tank can hold 500 gallons
of water. She adds 20 gallons of water every
hour. How many hours does it take for Jenny
to be able to fill up the tank?
Answers
It will take 25 hours for Jenny to fill up the tank.
To solve this problem, we divide the capacity of the tank by the rate at which it is being filled:
500 gallons / 20 gallons/hour = <<500/20=25>>25 hours
A bakery sells yesterday's bagels for a discounted rate of $2.64/dozen. What is the price per bagel?
Answers
Answer:
$0.22 per bagel
Step-by-step explanation:
A dozen is 12:
2.64/12 = 0.22
*PLEASE PLEASE HELP I WILL MARK THE BRAINLIEST*
Write an expression equivalent to 3n2 + 12n that is a product of two expressions.
Enter numbers, variables, or expressions in the boxes.
Answers
Answer:
3n(n + 4) = 0
n = 0, -4
Step-by-step explanation:
3n(n + 4) = 0
3n = 0
n = 0
n + 4 = 0
n = -4
Answer:
Step-by-step explanation:
3n2 + 12n factors into (3n)(n + 4n).
Please does anyone know the answer to c & d
Answers
Answer:
c = 8^5
d = 7^2
Step-by-step explanation:
Answer:
c) =8^5
d) =7^2
Step-by-step explanation:
i hope this helps :)
1. Write 7 example of mathematical expreion. 2. Larry had 5 3/6 yard of fabric. He ued 2 2/3 to make a bag for hi computer. Write an expreion that will how how much of the fabric Larry will have left. PLEASE HURRY UPPPPP!!! I HAVE 1 HOUR LEFT UNTIL SUBMISSION!!!
Answers
a) 7 examples are:
[tex]2x + 3y\\(4a - 5b) / 2c\\(5 + 8) * 3\\8^2 - 6\\√(64)\\(1/3) * π * r^2\\2(3x + 4y) - 5z[/tex]
b) Fabric Larry will have left after using [tex]2\frac{2}{3}[/tex] yard out of [tex]5\frac{5}{6}[/tex] yard to make a bag for his computer is: [tex]3\frac{3}{6} yard[/tex]
What kinds of expressions are examples?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
7 examples of mathematical expression are:
[tex]2x + 3y\\(4a - 5b) / 2c\\(5 + 8) * 3\\8^2 - 6\\√(64)\\(1/3) * π * r^2\\2(3x + 4y) - 5z[/tex]
For the second part of the question:
Larry had 5 3/6 yards of fabric. He used 2 2/3 yards to make a bag for his computer. Write an expression that will show how much of the fabric Larry will have left.
The mathematical expression that represents the amount of fabric Larry has left is:
5 3/6 - 2 2/3 = 2 7/18
You can simplify this further:
2 7/18 = 2 1/6
The amount of fabric Larry will have left is 2 1/6 yards.
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Shelley drew a scale drawing of a neighborhood park. The volleyball court, which is 8 meters wide in real life, is 4 millimeters wide in the drawing. What is the scale factor of the drawing?
Simplify your answer and write it as a fraction.
I need IXL answer's PLEASE
Answers
The scale factor of the drawing of the neighborhood park would be = 2000.
What is a scale factor?The scale factor is defined as the ratio between the scale of the original object and the new object, which represents it but in a different size (larger or smaller).
The width of the neighborhood park. in real life = 8 meters
To convert 8 meters to millimetres is to multiply by 1000
= 8 × 1000 = 8000 mm
The scale factor = 4 × X = 8000
make X the subject of formula;
X = 8000/4
X = 2000.
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Select the correct answer. which equation combines with the given equation to form a system of equations with the solution x = 3 and y = 9? x 2y = 21
a. 4x 6y = 64
b. 2x y = 36
c. 4x y = 21
d. -3x 4y = 33
e. 3x 2y = 28
Answers
An equation that combines with the given equation x + 2y = 21 to form a system of equations with the solution x = 3 and y = 9 is 4x + y = 21.
The correct answer is an option (c)
As x = 3 and y = 9 are the solution of system of equations, the required equation must be true for x = 3 and y = 9.
Given equation is: x + 2y = 21
For x = 3 and y = 9 given equation is 3.
In order to find the required equation, we substitute the values of x and y in each equation and check whether the equation is true for x = 3 and y = 9.
a. For equation, 4x + 6y = 64
LHS = 4(3) + 6(9)
LHS = 12 + 54
LHS = 66
LHS ≠ RHS
So, this is not a required equation.
b. 2x + y = 36
LHS = 2(3) + 9
LHS = 6 + 9
LHS = 15
LHS ≠ RHS
So, this is not a required equation.
c. 4x + y = 21
LHS = 4(3) + 9
LHS = 12 + 9
LHS = 21
LHS = RHS
this is the required equation.
d. -3x + 4y = 33
LHS = -3(3) + 4(9)
LHS = -9 + 36
LHS = 27
LHS ≠ RHS
So, this is not a required equation.
e. 3x + 2y = 28
LHS = 3(3) + 2(9)
LHS = 9 + 18
LHS = 27
LHS ≠ RHS
So, this is not a required equation.
Therefore, the reuired equation is 4x + y = 21
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Dylan opened a credit card account with $575.00 of available credit. Now that he has made some purchases, Dylan's account only has $465.75 of available credit. What is the percentage decrease of the amount of available credit in Dylan's account?
Answers
Answer:
19%
Step-by-step explanation:
First, we have to find how much did he spend by taking
$575.00 - $465.75 = $109.25
Then we find the percentage decrease by taking
109.25 divided by 575, then times 100% = 19%
So, the percentage decrease of the amount of available credit in Dylan's account is 19%
When a positive number is multiplied by the sum of twice the number and half the number, the result is the original number. What is the number
Answers
By setting up the equation and solving we get the positive number is 2/5.
What is positive number?A positive number is a number greater than zero. In mathematical terms, it is a number that is greater than zero on the number line. Positive numbers are often represented with a "+" sign in front of them, but this is not always necessary as the positive sign is the default and is usually omitted.
What is equations?An equation is a mathematical statement that asserts the equality of two expressions. It is a statement that asserts that the two expressions on either side of the "=" sign are equal and have the same value. The expressions on either side of the "=" sign are called the left-hand side (LHS) and the right-hand side (RHS) of the equation.
For example:
2x + 3 = 7
x(2x+x/2)=x
2x^2+x^2/2=x
5x^2/2=x
5x^2=2x
5x=2
x=2/5
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A glass is 2/3 full. Then 40cm^3 of orange juice is poured in. The glass is now 4/5 full What is the total volume of the glass?
Answers
Answer:
The total volume of the glass is 300 cm^3.
Step-by-step explanation:
Let V represent the total glass volume.
Then (4/5)V - (2/3)V = 40 cm^3. The LCD here is 15, so we rewrite this equation as
(12/15)V - (10/15)V = 40 cm^3, or
(2/15)V = 40 cm^3.
Solve for V by multiplying both sides of this equation by (15/2):
(15/2)(2/15)V = (15/2)(40 = 300 cm^3
The total volume of the glass is 300 cm^3.
Please help, I’ll give brainliest UwU
Answers
Answer:
uwu your answer is c because jake did not like lily during the performance.
Step-by-step explanation:
Answer:
The UWU answer UwU is UwU C UwU owa owa
A scooter shop is offering a 30% discount on all of its scooters. Shirley buys a scooter that had an original price of $840. What was the discounted price of the scooter?
Answers
Answer:
$588Step-by-step explanation:
Original price = $840
Discount = 30%
Discounted price is:
$840 - 30% of $840 =$840*0.7 = $588Work out 37% of 4618.57
Give your answer to 1 decimal place.
Answers
Answer:
37/100(4618.57)
170887.09/100
1708.9
The solution of the given expression is 1708.9.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
The given expression is as below,
37% of 4618.57
It can be simplified as follows,
37% of 4618.57
= 37/100 × 4618.57
= 1708.87
It can be approximated as 1708.9.
Hence, the given expression can be worked out up to one decimal place as 1708.9.
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what are the nouns in this sentence?
Answers
Answer:
A noun is most commonly taught a person, place, or thing and sometimes idea. In this sentence, it would be Magazine, Americans, and carbohydrates. And if smith is also part of the sentence, he is a person, so its also a noun. :) Happy learning friend
Solve for x in the triangle. Round your answer to the nearest tenth.
6
X
69°
X
Answers
hello i am just need points so sorry you didnt get answer
The school surveillance camera was able to capture an image of the suspect. The image
shows the thief standing next to the gym door. In real life the door measures 84 inches but
is 14 cm in the image. If your suspect is 10.83 cm in the photo. How many inches tall are
they in real life? (Round to nearest whole inch.) Report the height in feet and inches. Ex.
"2 feet 5 inches"
Answers
Answer:
77.4 inches
6 feet 4 inches
Step-by-step explanation:
what persent of 14 is 10.83 is 77.35
what persent of 84 is 77.3571428571 is 92.08
what is 92.08% of 84 is 77.34
77.34 inches to feet is 6 feet and 4 inches
what is the answer for -40= -50 + x ?
Answers
Answer:10
Step-by-step explanation: Because negative 40 equals -50 + x equals 10
Write the equation of the line that passes through the point (-9, 5) and is parallel to the line y = -1/3x - 4.
Answers
Answer:
i just found the link ill post it under your question hold up
Step-by-step explanation:
How do you find the missing side of a triangle?
Answers
The missing sides of the triangle can be found by applying the Pythagoras Theorem .
What is Pythagoras Theorem ?
The Pythagoras Theorem states that square of hypotnuse (that is longest side) is equal to sum of the square of perpendicular and base .
that means : [tex]Hypotnuse^{2} = Perpendicular^{2} +Base^{2}[/tex] ;
let missing side of the Right triangle be hypotnuse ;
So , missing side is written as : [tex]Hypotnuse = \sqrt{Perpendicular^{2} +Base^{2}}[/tex] .
For Example : Let a right triangle has sides lengths of perpendicular = 6 and hypotnuse = 10 .
let , the length of side "base" be unknown.
So , in order to find length of side b (base) , we substitute the known values into Pythagoras theorem:
[tex]10^{2} =6^{2} +Base^{2}[/tex] ;
[tex]Base = 100-36[/tex] ;
So , missing side "base" is = 8 ;
Therefore , the missing side can be found by using the Pythagoras Theorem .
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Please help
VX is a midsegment of UWY
IF UY=13p-1 and VX=20p-95 what is UY
Answers
The length UY of the triangle is 90 units
How to determine the length UYFrom the question, we have the following parameters that can be used in our computation:
VX is a midsegment of triangle UWYUY = 13p - 1 and VX = 20p - 95This means that
UY = 2 * VX
Substitute the known values in the above equation, so, we have the following representation
13p - 1 = 2 * (20p - 95)
Evaluate the products
13p - 1 = 40p - 190
So, we have
40p - 13p = 190 - 1
So, we have
27p = 189
Divide by 27
p = 7
Substitute p = 7 in UY = 13p - 1
UY = 13 * 7 - 1
So, we have
UY = 90
Hence, the length is 90 units
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I Don't know how to do this, please help me!! :( number 19
Answers
Answer:
Step-by-step explanation:
#19. m∠JML = 126°
#20. [tex]P_{JKLM}[/tex] = 50 units
One angle of a triangle measures 45°. The other two angles are in a ratio of 7:20. What are the measures of those two angles?
Answers
Answer:
35° and 100°
Step-by-step explanation:
The total angle of a triangle = 180°
The total angle of two angles = 180° - 45° = 135°
One part of the ratio = 135° : (20 + 7) = 5°
The smaller angle = 5° x 7 = 35°
The bigger angle = 5° x 20 = 100°
Answer:
35° and 100°
Step-by-step explanation:
the sum of the 3 angles in a triangle is 180°
the ratio of 2 angles is 7 : 20 = 7x : 20x ( x is a multiplier )
equate the sum to the 3 angles to 180 and solve for x
45 + 7x + 20x = 180
45 + 27x = 180 ( subtract 45 from both sides )
27x = 135 ( divide both sides by 27 )
x = 5
Then
7x = 7 × 5 = 35
20x = 20 × 5 = 100
the measure of the 2 angles is 35° and 100°
What 3 numbers make a right triangle?
Answers
Answer:
A right triangle equals to 90 degress, and has 2 equal angles.
Example: 20 degress, 20 degrees and 50 degress could make a right triangle.
I hope this helps you!
ILL GIVE BRAINLIEST PLS HELP IMMEDIATELY -- The ages of trees in a forest are normally distributed with a mean of 25 years and a standard deviation of 4. Approximately what percent of the trees are between 20 and 30 years old? (2 points)
Answers
Answer:
79%
Step-by-step explanation:
Most of today's student calculators have built-in statistical functions. I will use my old TI-83 Plus here:
normalcdf(20, 30, 25, 4)
The calculator returns 0.789.
Approximately 79% of the trees are between 20 and 30 years old
Answer:
68%.
Step-by-step explanation:
The mean is 25 and the standard deviation is 5. So 20 is one standard deviation below the mean and 30 is one standard deviation above the mean.
According to the Empirical Rule, 68% of the normal curve is between ±1 standard deviations. So the answer is 68%.
can someone help me with this I'll give a crown thing please hurry!
Answers
Answer:
1) 1: 107
2: 73
3: 107
4: 73
5: 107
6: 73
7: 107
8: 73
3) 1: 128
2: 52
3: 128
4: 52
5: 128
6: 52
7: 128
8: 52
Step-by-step explanation:
Vertical, corresponding, alternate exterior, and alternate interior angles are all congruent (equal). Angles such as same side exterior and same-side interior are supplementary; meaning these angles add up to 180°.HELP DUE IN 15 MINS!
Quadrilateral DAVE has vertices D(2, 2), A(4, 2), and V(5, -3). Plot a point E to make DAVE an isosceles trapezoid.
1. What are the coordinates of E ( , )??
Answers
Answer:
i believe it's (1, -3)
hope it helps!
A regular square pyramid has base edge b, height h, and slant height l. Three expressions give the surface area, A, of this pyramid. Which expression does NOT?
Answers
Answer:
1/3 . Abase . height
Step-by-step explanation:
Please find attached the complete question
a square pyramid is a pyramid that has a square base.
total surface area measures the total area of the surfaces of an object
the formula 1/3 x Area of the base x height is used to calculate the volume of the pyramid and not the surface area
Can the sine ratio of an acute angle be greater than 1?
Answers
No, the sine ratio of an acute angle cannot be greater than 1.
What is an acute angle?
Each angle in an acute triangle must be less than 90 degrees. A triangle is not an acute triangle even if one of its angles is 90 degrees. Because all angles (60°) are less than 90°, an equilateral triangle, for instance, is always sharp.
Here,
We have to determine whether the sine ratio of an acute angle can be greater than 1 or not.
We concluded that the value of the Sine ratio will always be between zero and one.
The Sine ratio is related to one of the acute angles of a right triangle such that the sine of the acute angle is the ratio of the side opposite the specific acute angle (the reference angle) to the hypotenuse.
Hence, the sine ratio of an acute angle cannot be greater than 1.
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