Answers
Answer:
x=2ln(2)/(2ln(2)-ln(3))
Step-by-step explanation:
ln(4^x-1)=ln(3^x)
(x-1)ln(4)=ln(3^x)
(x-1)ln(4)=xln(3)
ln(4)x-ln(4)=xln(3)
ln(4)x=ln(3)x+2ln(2)
2ln(2)x-ln(3)x=2ln(2)
(2ln(2)-ln(3))x=2ln(2)
Therefore, x=2ln(2)/(2ln(2)-ln(3))
Answer:
4.819 =x
Step-by-step explanation:
4^(x-1) = 3^x
Take the log of each side
log (4^(x-1)) = log(3^x)
We know that log a^b = blog a
(x-1) log 4 = x log (3)
Distribute
x log 4 -log 4 = x log 3
Subtract x log 4 from each side
x log 4 - x log 4 -log 4 = x log 3 - x log 4
- log 4 = x log 3 - x log 4
Factor out -x
- log 4 =- x ( log 4- log 3)
Divide by -1
log 4 = x (log 4 - log 3)
Divide each side by (log 4 - log 3)
log 4 / (log 4 - log 3) = x
4.81884167930641800 =x
Round to the nearest thousandth
4.819 =x
Related Questions
Luke buys a certain brand of cereal that costs $11 per box. Luke changes to a super-saving brand of the same size. The equation shows the price, y, as a function of the number of boxes, x, for the new brand. y = 9x Part A: How many more dollars is the price of a box of Luke's original brand of cereal than the price of a box of the super-saving brand? Show your work.
Answers
Answer:
Part A:
Luke's original box of cereal costs $2 more than the super-saving brand.
y=9(1)
y=9
11-9=2
Part B:
y=9(6)
y=54
11x6=66
66-54=12
Luke saves $12 each month if he buys 6 boxes of the super-saving brand.
pls mark brainliest
HELP PLEASE
If anyone can help I’m panicking
Answers
Answer:
8.5
Step-by-step explanation:
Because it have more pumpkins
Answer:
thatvis gizmo he says hi. .. :/ srry
I'm a bit stuck, well uhhh you'll see. Please help!! is she 25 or 26 ? ? ?
Answers
Answer:
25 years old
Step-by-step explanation:
19+3=22
19+6=25
19+25+22=66
she is 25 years old
Anil receives a 7% commission on computer sales. Last month his computer sales totaled $12,500. How much did Anil earn last month?
Answers
Answer:
$875
Step-by-step explanation:
Total money * commission = money earned
12500 * .07 =
$875
Sydney is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.25. Sydney spent $24.25 altogether at the carnival and the number of rides she went on is 3 more than the number of games she played. Determine the number of games Sydney played and the number of rides Sydney went on.
Answers
Answer:
number of games played is 5
number of rides road 8
Step-by-step explanation:
8 x 2.25=18
5 x 1.25=6..25
18 + 6.25=24.25
The number of games Sydney played is 5 and the number of rides Sydney went on is 8.
What is linear equation?Linear equation is the type of equation with highest power 1.
Assume the number games Sydney played be x. So, the number of rides she went is x+3.
The cost of 1 game is $1.25. So, the cost of x games will be 1.25x.
The cost of 1 ride is $2.25. So, the cost of x+3 rides will be 2.25(x+3).
The total cost is $24.25. Formulate the linear equation and solve it.
1.25x+2.25(x+3)=24.25
1.25x+2.25x+6.75=24.25
3.5x=17.5
x=5
Substitute x=5 into x+3.
5+3=8
Thus, the number of games Sydney played is 5 and the number of rides Sydney went on is 8.
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Solve for the measure of x in the following diagram
Answers
F+c is replicant to the angel that is 30 degrees and BFC makes 90 degrees 90-30=60
June and the total of 4/6 hour on her math and reading homework which pair of models could show the amount of time in hours she spends on each subject
Answers
Answer:
2/3
Step-by-step explanation:
Soy bean type 1 yielded 125 bushels per acre last year at a research farm. This year, soy bean type 2, planted in the same location, yielded only 100 bushels per acre and there was a drought. The researchers do not know whether the difference is a result of the superiority of type 1 soy beans or the drought. What is this an example of?
Answers
Answer: confounding variables
Step-by-step explanation:
Confounding variables are outside influence that changes the effect of a dependent and independent variable. In this case the outside variable is the drought, which has changed the effects of the dependent and independent variables. This additional influence can be used to influence the outcome of an experimental result. Confounding variables can ruin an experiment and produce unwanted results.
Answer:
confounding
Step-by-step explanation:
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Answer BOTH of them plz
Answers
2.
4 34
5 42.50
6 51
7 59.50
-25z+1+35z=10z+1 how mu
Answers
The music teacher has a list of 128 students who have signed up for music classes. The music teacher can register 6 students in each class. What is the least number of classes needed for all the students to be registered in a class?
Answers
Answer:
24
Step-by-step explanation:
Divide 128 by 6 and get 23.3 but the .3 you need an extra class to fit the .3 in so add one class.
Arnetta’s monthly gross pay is $4,200. Federal withholding is 16.05% of her pay. Her other deductions total $321.30. What is her net pay?
Answers
Answer:
c
Step-by-step explanation:
Carlos took a test and made a 50. On the next test, he made a 75. What is the percentage of change between the two test scores?
150% increase
50% increase
150% decrease
50% decrease
Answers
Evidence IDK
The square root of 83 can be platted on the number line below
Answers
Explanation:
√83
is an irrational number. You won't be able to simplify it any further either, since it doesn't have any perfect square factors.
However, you will be able to tell between which two numbers it lies in.
9^2 is 81 and 10^2 is 100
. Therefore, you can say that a certain number between 9 and 10 is 83 when squared.
If you're looking for an exact answer, then it will be 9.11043357914... (I got that using a calculator).
Answer:
Step-by-step explanation:
Simplify the given expression, using only positive
exponents. Then complete the statements that
follow
(x²y3)-1 72
(x-2y+z)2
x60, y#0, 2*0.
?
The exponent on x is
The exponent on y is
The exponent on z is
Answers
Answer: x=4 y=14 z=4
Step-by-step explanation:
On edge it is that
The required exponent on x is 4, the exponent on y is 14, and the exponent on z is 4.
What is simplification?Using math and algebraic principles, simplification entails removing pointless variables, factors, or operations from an expression. Getting an expression that is simpler to use, manipulate, or solve is the aim. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property.
Here,
To simplify the given expression, we need to use the rules of exponents:
= [(x²y³)⁻¹ / (x⁻²y²z)²]²
= [(1 / x²y³) / (x⁻⁴y⁴z²)]²
= [(1 / x²y³) * (x⁴ / y⁴z²]²
= x⁴ / y¹⁴z⁴
Therefore, the exponent on x is 4, the exponent on y is 14, and the exponent on z is 4.
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You roll a number cube once.
What is the theoretical probability that you roll a 2 or 4? Enter your answer as a simplified fraction.Use/to write your fraction.
The probability that you roll a 2 or 4 is
Answers
Answer:
Step-by-step explanation:
Probability of a 2 = 1/6
Probability of a 4 = 1/6
probability of a 2 or 4 = 1/6 + 1/6 = 2/6 = 1/3
[tex]\text{We need to find the probability of rolling a 2 or 4}\\\\\text{Rolling a 2 or 4 is our intended outcome}\\\\\text{Therefore, it would be 2 outcomes in our probability}\\\\\text{We also know that there are a total of 6 sides in a number cube}\\\text{This represents our total amount of outcomes}\\\\\text{With the information above, we would write our probability as:}\frac{2}{6}\\\\\text{You can simplify it by dividing by 2}\\\\\boxed{\frac{1}{3}}[/tex]
What is b and what is c in degrees?
Answers
Answer:
c is 90 degrees and b is 10 degrees hope its right
Step-by-step explanation:
Which is the rate of change for the interval between 2
and 6 on the x-axis?
-3
-1/3
1/3
3
Answers
Answer: 2 box plots. The number line goes from 0 to 20. For East Side Middle School Debate Wins, the whiskers range from 5 to 14, and the box ranges from 10 to 12. A line divides the box at 11. For West Side Middle School Debate Wins, the whiskers range from 3 to 14, and the box ranges from 8 to 12. A line divides the box at 9.
Which of these inferences about the two debate teams are true? Check all that apply.
West Side is more consistent at winning.
East Side is more consistent at winning.
East Side typically wins more debates per year than West Side.
West Side typically wins more debates per year than East Side.
These graphs do not contain enough information from which to draw inferences.
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
Unit 5. 2) Please help. If a triangular prism and a cylinder have the same height and the same volume, what must be true about their bases?
Answers
Answer:
If a triangular prism and a cylinder have the same height and the same volume, then the area of bases must be equal.
=> Option A is correct
Step-by-step explanation:
Because they share the same formula to calculate V = Base area x Height
V and Height are same, then Base areas are same.
Hope this helps!
:)
If a triangular prism and a cylinder have the same height and the same volume, then their bases have the same area is true statement.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
If a triangular prism and a cylinder have the same height and the same volume, then their bases must have the same area.
This can be explained using the formula for the volume of a prism, which is equal to the area of the base times the height.
Since the height of both shapes is the same, the volume of the shapes is proportional to the area of their bases.
If the volume is the same for both shapes, then their bases must have the same area.
Therefore, their bases have the same area is the true statement among the given statements.
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BC=
Round your answer to the nearest hundredth.
B
20°
?
A
4
с
Answers
Remember, SOH CAH TOA for the trigonometric functions. In this problem, we are given an angle, a side opposite that angle, and a side adjacent to that angle. So, we should use the tangent function to find the missing side.
tan(20) = 4 / x
tan(20)x = 4
x = 4 / tan(20)
x = 10.99 units
Hope this helps! :)
Answer:10.99
Step-by-step explanation:
Simplify the equation-
x-(-2x+4)
Answers
Kavitha is going to spin the following spinner 200 times. The spinner is divided into equal sections:
mouse
mouse
monkey
monkey
elephant
What is the best prediction for the number of times the spinner will land on the elephant?
Answers
Answer:
Option (D) Close to 40 times but probably not exactly 40 times.
Answer:
D
Step-by-step explanation:
Khan
The surface area of a sphere is 200.96 square centimeters. What is the approximate volume of the sphere? Use 3.14 for π. Round your answer to the nearest hundredth.
Answers
Answer:
[tex]267.95 cm^3[/tex]
Step-by-step explanation:
We need to first find the radius of the sphere.
The surface area of a sphere is given as:
[tex]A = 4\pi r^2[/tex]
where r is the radius
Therefore:
[tex]200.96 = 4 * 3.14 * r^2\\\\=> r^2 = 200.96 / 12.56\\\\r^2 = 16\\\\r = \sqrt{16} \\\\r = 4cm[/tex]
The radius of the sphere is 4 cm.
The volume of a sphere is given as:
[tex]V = \frac{4}{3} \pi r^3[/tex]
Therefore, the volume of the sphere of radius 4 cm is;
[tex]V = \frac{4}{3} * 3.14 * 4^3\\\\V = 267.95 cm^3[/tex]
The volume of the sphere is [tex]267.95 cm^3[/tex]
Answer:
C: 267.95 cm3
Step-by-step explanation:
What is the slope of the line represented by the equation f(x)=3/2x-4 ?
Answers
Answer:
3/2
Step-by-step explanation:
it's the slope because it's before x.
Answer: 3/2 is the answer
please help me i really need to pass.
Answers
A robot’s height is 1 meter 20 centimeters. How tall is the robot in millimeters?
Answers
Answer:
1200 millimeters
Step-by-step explanation:
Perimeter of a square is (12x-2y). What is the algebraic expression for the length of the side of the square?
Answers
Answer:
s = 3x - (1/2)y
Step-by-step explanation:
The perimeter of a square is 4s, where s is the side length. Here,
12x - 2y = 4s, and so s = 3x - (1/2)y
A carpenter bought a piece of wood that was 5.55 meters long than sawed 0.62 meters of the end how many long is a piece of wood now ?
Answers
Answer:
4.93
Step-by-step explanation:
5.55-0.62=
4.93
The lines below are parallel. If the green line has a slope of -1, what is the slope of the red line? Enter your answer as an integer or a fraction in lowest terms
Answers
Answer:
The red line has a slope of -1
Step-by-step explanation:
This is because parallel lines have the same slope with a different y intercept.
If the green line's slope is -1 and it is parallel to the redline, they will have the same slope.
30 POINTS!!! NEED HELP!!!!
Write the expansion for the series described by the summation notation. *
Captionless Image
a) 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100+ 121 + 144
b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121
c) 16 + 9 + 5 + 0 + 1 + 4 + 25 + 25 + 36 + 49 + 64 + 81 + 100 + 121
d) None of the above
Answers
Answer:
b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121
Step-by-step explanation:
[tex] \Sigma_{k=1}^{16} (k - 5)^2 \\
= (1- 5)^2 + (2- 5)^2 + (3- 5)^2 + \\ (4- 5)^2 + (5- 5)^2 + (6- 5)^2 \\+ (7- 5)^2 + (8- 5)^2 + (9- 5)^2 \\+ (10- 5)^2 + (11- 5)^2 + (12- 5)^2 \\+ (13- 5)^2 + (14- 5)^2 + (15- 5)^2\\ + (16- 5)^2 \\\\
=(-4)^2 + (-3)^2 + (-2)^2 + (-1)^2 + (0)^2 \\+ (1)^2 + (2)^2 + (3)^2 + (4)^2 + (5)^2 \\+ (6)^2 + (7)^2 + (8)^2 + (9)^2 + (10)^2 + \\ (11)^2 \\\\
=16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 \\+ 36 + 49+ 64 + 81 + 100 + 121[/tex]
