The equivalent equation to the given logarithm is log₃9=2.
Define the term logarithmic equation?An equation using the logarithm of just an expression involving a variable is referred to as a logarithmic equation. Check to verify if you can write two aspects of the equation as powers of a similar number before attempting to solve an exponential equation.A log function can be used to determine how much a given number must always be raised to reach the desired result.
aˣ = b
This can be written as;
logₐ b = c
Where an is the starting point from which the power will be raised,When power is increased, we want b to be the appropriate number,To obtain b, c must be increased to a power.For the expression;
3² = 9
Given what we know about just the logarithm, the following is how we can represent the given equation:
3² = 9
log₃9 = 2
Consequently, the equivalent equation of 3² = 9 could be expressed as log₃9=2.
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The correct question is-
Which logarithmic equation is equivalent to 3^2 = 9?
v.2 find the slope from two points
Answer:y2-y1/x2-x1
Step-by-step explanation:
The formula for rise over run or slope is y2-y1 divided by x2-x1
An example
(5,4),(3,7)
y2=7,y1=4
x2=3,x1=5
plug in and solve
7-4/3-5
slope would be -1
Circle the numbers that are divisible by both 2 and 3 (20,36,42,45,50,78)
Answer: 36, 42, 78
Step-by-step explanation:
20 is only divisible by 2
50 is only divisible by 2
45 is only divisible by 3
36/2=18 36/3=12
42/2=21 42/3=14
78/2=39 78/3=26
Answer: 36, 42, 78
Step-by-step explanation:
36/2= 15, 36/3=12
42/2= 21, 42/3=14
78/2=39, 78/3=39
Given 29 213.
Which lines, if any, must be parallel based on the given
information? Justify your conclusion.
c|d, Converse of the Same-Side Interior Angles
Theorem
a | b, Converse of the Alternate Interior Angles
Theorem
c|| d. Converse of the Corresponding Angles
Theorem
not enough information to make a conclusion
Answer:
has to be c other wise it would make sense
-Snow skis were first used in northern Europe and Asia thousands of
from the bones of large animals
years ago. They were probably (18)
and strapped with strips of leather to the boots of skiers. These primitive
skis were used primarily on flat ground as a means of traveling from one
(19) for rapid
place to another. The loose bindings made them too
downhill movement. Not until the development of better skis, more secure
(20) as a
19
fastening methods, and ski lifts did skiing attain
recreational and competitive sport.
18 F diverted
G dissected
H fashioned
J manufactured
A annoying
B laborious
C precarious
D inaccurate
20 F projection
G productivity
H perspective
J prominence
Answer:
no
Step-by-step explanation:
solve please i'm desperate
Answer:
-4/5 (fraction)
Step-by-step explanation:
add the numbers:
25x^2-16=0
use quadratic formula
simplify -40/50
-4/5
x^2 + 4x + y^2 - 4y - 28= 0
I don't know for certain if you are trying to write this in standard form, graph it, or so forth. However, here is the standard form.
Standard Form:
[tex](x+2)^2+(y-2)^2=36\\[/tex]
Hope this helps you!
An employee at a paint manufacturing plant is mixing highly pigmented paint with some paint that is less pigmented. In addition to a large supply of 27%-pigment paint, he also has 160 liters of 12%-pigment paint. How many liters of the 27%-pigment paint should he add to the 12%-pigment paint to generate a batch of 15%-pigment paint?.
With the help of unitary method , we can say that ,To create a batch of 15%-pigment paint, he needs to mix 98.57 liters of the 27%-pigment paint with the 12%-pigment paint.
What is unitary method ?Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.
Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.
Imagine that your square is made up of smaller unit squares.
The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.
To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.
According to our question-
Paint volume times pigment concentration equals pigment amount.
or
V × c = P
If the three options are referred to as 1, 2, and 3, then
P₁ + P₂ = P₃
V1c1 = V2c2 + V3c3
Let x equal the paint's 11% volume.
Then
230 × 21 % + x × 11 % = (230 +x) × 18 %
Add 4830 plus 11x to get 4140 plus 18x, then take 4140 away from each side.
690 + 11x = 18x Take 11 times off of each side.
Divide each side of 690 by 7 to get the answer.
x = 98.57 L
The worker needs to add 98.57 L of the paint with a 21% pigment.
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4. ¿Por qué al colocar un vaso lleno sobre un papel y tirar con fuerza de éste, el vaso no se mueve?
Answer: The glass of water has inertia
Step-by-step explanation: The trick works no matter how heavy an object is since friction is weaker for lighter objects. Provided you pull quickly enough, this trick can even be done with glasses or plate
in the stock market, changes in value used to be indicated by fractions, which represented portions of $1. if a stock had a value of $11.50, write and evaluate an addition expression to find how much the stock is worth after an increase of 1/4
The worth of the stock after the increase is $14.375.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
Based on the information given, the addition expression will be:
= Original value + Increase
= $11.50 + (1/4 × $11.50)
= $11.50 + $2.875
= $14.375
The value is $14.375.
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when the null hypothesis is rejected, it is possible a type ii error has occurred. not possible a type i error has occurred. possible a type i error has occurred. possible either a type i or a type ii error has occurred.
When the null hypothesis is rejected possible a Type i error has occurred.
Let's Understand what is null hypothesis?
A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a set of provided observations. Using sample data, hypothesis testing is used to judge a hypothesis' veracity. It is sometimes referred to as just "the null" and its symbol is [tex]H_{0}[/tex].
We have total 4 cases:
[tex]H_{0}[/tex] accepted when [tex]H_{0}[/tex] is true -> Correct decision
[tex]H_{0}[/tex] rejected when [tex]H_{0}[/tex] is true -> Type i Error when null hypothesis is present and we have rejected
[tex]H_{0}[/tex] accepted when [tex]H_{0}[/tex] is false -> Type ii Error when null hypothesis is not present but we have accepted
[tex]H_{0}[/tex] rejected when [tex]H_{0}[/tex] is false -> Correct decision.
So according to question null hypothesis is rejected so we have two options Either Null hypothesis is present or not present.
if it is present then it is Type i Error.
if it is not present then it is Correct decision.
So when the null hypothesis is rejected possible a Type i error has occurred.
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If $a$, $b$, $c$, and $d$ are four different digits from $1$ to $9$, inclusive, then what's the largest possible value for the decimal $a. B + c. D$ ?.
The largest possible value for the decimal $a. B + c. D$ us:
9.7 + 8.6 which results to 18.3.
Given that a, b, c, and d are different numbers (from 1 to 9), we are to find the largest possible value of a.b + c.d.
This problem can be answered by trial and error and with some logic. Clearly, a to d cannot be at the lower end of the values (1 to 5). Since the digits must be different, it can be a combination of digits from 6 to 9.
It is rather tempting to say that the 9.8 + 7.6 would yield the highest possible sum (=17.4) but this is incorrect. Since it is the sum of two numbers with a decimal, we have to maximize on the ones digit first before maximizing the tenths digit. Therefore: the combination of numbers must then be:
9.7 + 8.6 which results to 18.3
9.6 + 8.7 yields 18.3 as well.
Hence we get the required answer,
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Kari's renter's insurance is set to increase by 10% per month after she files a theft claim. If her premium is $35 per month, what
will her new premium be?
$45 per month
$31.50 per month
$38 per month
$38.50 per month
Answer: $38.50 per month
Step-by-step explanation: We have to find 10% of 35 and add it to 35. This is because 10% of 35 is the amount that will increase so adding that to the original 35 will be her new premium. 10% of 35 is $3.50 and $3.50 + $35 is $38.50. This means her new premium is $38.50 per month.
find the most general antiderivative of the function. (check your answer by differentiation. use c for the constant of the antiderivative. remember to use absolute values where appropriate.) f(x)
Answer:
Step-by-step explanation:
In a coordinate plane, a line has two points A and B with the coordinates A(4,n) and B(10,6n). In the same coordinate plane, a different line has two points C and D with coordinates C(−3,−6) and D(9,8n). For what value of n are the two lines parallel?
For the two lines to be parallel, the value of n must be 3
How are two lines parallel in a coordinate?When two straight lines are plotted on the coordinate plane, we can tell if they are parallel from the slope, of each line. If the slopes are the same then the lines are parallel.
The slope of each line is calculated as (y2-y1)/x2-x1
for line AB, the slope = (6n-n)/10-4 = 5n/6
for line CD, the slope= 8n-(-6)/9-(-3)=( 8n+6)/12
for AB and CD to be parallel,
5n/6 = (8n+6)/12
multiply both sides by 12
10n= 8n+6
collect like terms
10n-8n= 6
2n= 6
n= 6/2= 3
therefore for the value of n= 3 line CD and AB are parallel.
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The bottom of a swimming pool is 12 feet below the surface of the water.
What is the pool's depth in feet?
Enter your answer as an integer.
If it is negative, enter it like this: -42"
there are a cup of milk and a cup of water. take one teaspoon of milk, put into the water cup; mix well. take one teaspoon of the mixture in the water cup and put into the milk cup then mix well. which is higher: the percentage of water in the milk cup or the percentage of milk in the water cup ?
The percentage of water in the milk cup and the percentage of milk in the water cup are same.
What is milk?
A white liquid meal called milk is generated by mammals' mammary glands. Before they can digest solid food, it is the main source of nutrition for young mammals. Milk immunity is influenced by immune components and immune-modulating elements.
Given:
There are a cup of milk and a cup of water.
Take one teaspoon of milk, put into the water cup; mix well.
Take one teaspoon of the mixture in the water cup and put into the milk cup then mix well.
Suppose the percentage of water cup are 'p' and the percentage of milk cup are 'q'.
When we add one teaspoon of milk and put into water cup then the percentage of water cup are 'p + 1'.
And the percentage of milk cup are 'q - 1'.
Again one teaspoon of mixture in the water cup put into the milk cup.
So, the percentage of milk cup are, q - 1 + 1 = q.
And the percentage of water cup are p + 1 - 1 = p.
The percentage will be same for both milk cup and water cup.
Hence, the percentage of water in the milk cup and the percentage of milk in the water cup are same.
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convert 436 mm to cm. answer as a whole number or decimal number with the correct number of significant figures.
2 + 10 ^2 ( 9 + 10 )
Answer:
The answer is 1902
Step-by-step explanation: You use pemdas. First you ansewer whats in the parentheses then exponents then add
Answer:
1902
Step-by-step explanation:
10^2= 100
9+10= 19
2+100(19) 19*100=1900 and then add 2 to get 1902
suppose you live on the moon. how long is a day (i.e., from sunrise to sunrise)? a) 23 hours 56 minutes b) 24 hours c) a lunar month d) a year e) about 18 years
If we live on the moon, a day on the Moon is about a lunar month long
The correct answer is an option (c)
We know that a day is the length of time between two noons or sunsets. A day is of 24 hours on Earth and 708.7 hours (which is 29.53 Earth days) on the moon.
We know that a lunar month is nothing but the time the Moon takes to go around the Earth.
A lunar month is of approximately 29.53 days.
This means, a day on the Moon is about a lunar month.
Therefore, a day on the Moon is of 708.7 hours i.e., about a lunar month.
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r+r+r+r+r in algebraic simplified
Answer:
5r
Step-by-step explanation:
r+r+r+r+r=5r
Does the point (-7, 5) satisfy the inequality y > -3/7x +2
Answer:
Yes, the point (-7, 5) satisfies the inequality y > -3/7x + 2
Step-by-step explanation:
Plug in the values to the inequality and verify if it is true:
x = -7, y = 5
5 > (-3/7*-7) + 2
5 > (-3/-49) + 2
5 > 3/49 + 2
5 > 101/49
The inequality above is true (5 is greater than 101/49 [101/49 is about 2.06]), so the point (-7, 5) satisfies y > -3/7x + 2
the trade magazine qsr routinely checks the drive-through service times of fast-food restaurants. % confidence interval that results from examining customers in taco bell's drive-through has a lower bound of seconds and an upper bound of seconds. complete parts (a) through (c). question content area bottom part 1 (a) what is the mean service time from the customers? the mean service time from the customers is enter your response here seconds
The mean service time from the customers are between 161.5 to 164.7 seconds.
The trade magazine QSR routinely checks the drive-through service times of fast-food restaurants.
A 90% confidence interval that results from examining 607 customers in Taco Bell's drive-through has a lower bound of 161.5 seconds and an upper bound of 164.7 seconds.
Let's denote the mean service time by μ. Then, note that, we are given that n=607. Also, we are said that a 90% CI for μ is given by
(161.5,164.7)
This implies that we are 90% confident that μ lies in the interval. Or to be precise, this interval is a realization of a random interval that has 90% probability of covering the true mean. Thus, we are 90% confident that the mean service times of the restaurants are between 161.5 to 164.7 seconds.
Hence the answer is The mean service time from the customers are between 161.5 to 164.7 seconds.
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Find the indicated side.
Hence, the indicated side hypotenuse is [tex]46[/tex].
What is the angle?
Angles are an integral facet in the study of mathematics, particularly geometry. Angles are formed by two rays (or lines) that begin at the same point or share the same endpoint. The point at which the two rays meet (intersect) is called the vertex.
Let us assume the angle name [tex]x[/tex] and the triangle [tex]ABC[/tex], and the hypotenuse is [tex]y[/tex].
Here given angle and side are
[tex]x=30[/tex] degree
And the side [tex]AB=23[/tex]
Now we are applying the [tex]sine[/tex] because it is
[tex]sinx=\frac{P}{H}[/tex]
So,
[tex]sin(30)=\frac{23}{y}\\\\\frac{1}{2}=\frac{23}{y}\\\\y=46[/tex]
Hence, the indicated side hypotenuse is [tex]46[/tex].
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(1 point) some shrubs have the useful ability to resprout from their roots after their tops are destroyed. fire is a particular threat to shrubs in dry climates, as it can injure the roots as well as destroy the aboveground material. one study of resprouting took place in a dry area of mexico. the investigation clipped the tops of samples of several species of shrubs. in some cases, they also applied a propane torch to the stumps to simulate a fire. of 14 specimens of a particular species, 6 resprouted after fire. estimate with 95% confidence the proportion of all shrubs of this species that will resprout after fire.
With a 95% confidence interval, the proportion of all shrubs of this species that will resprout after a fire is between 0.17 and 0.67.
What is a confidence interval?
An area surrounding a measurement that indicates how accurate it is called a confidence interval.
Here, we have
Confidence interval is written as
Sample proportion ± margin of error
Margin of error = z × √pq/n
Where
z represents the z score corresponding to the confidence level
p = sample proportion. It also means the probability of success
q = probability of failure
q = 1 - p
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 14
x = 6
p = 6/14 = 0.42
q = 1 - 0.42 = 0.58
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail.
Since we want the area in the middle, it becomes
1 - 0.025 = 0.975
The z score corresponding to the area on the z table is 2.05. Thus, Thus, the z score for a confidence level of 95% is 1.96
Therefore, the 95% confidence interval is
0.42 ± 1.96√(0.58)(0.42)/14
The lower limit of the confidence interval is
0.42 - 0.25 = 0.17
The upper limit of the confidence interval is
0.42 + 0.25 = 0.67
Hence, with a 95% confidence interval, the proportion of all shrubs of this species that will resprout after a fire is between 0.17 and 0.67.
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Sugar Bombs cereal is including a Sherlock Holmes action-figure in each box during a
promotion. Claire plans to purchase boxes until she has all five action-figures. How many boxes
should she expect to buy if each figure is equally likely to be in any box??
a. Describe how you will use a random number table to conduct this simulation.
b. Show five trials by clearly labeling the random number table given below. Specify the outcome of each trial.
73184 95907 05179 51002 83374 52297 07769 99792 78365 93487
72753 36216 07230 35793 71907 65571 66784 25548 91861 15725
c. State your conclusion.
Part a: Ignoring those that are bigger than 4.
Part b: labeling the random number.
Part c: conclusion, Claire should plan to purchase 12 boxes.
Describe the term random number table?A table of digits is a random number table. The numbers 1, 2, 3,4,5,6,7,8,9,0 were used as the starting point for the random procedure that selected the digit for each location in the table. Each digit had an equal chance of being selected.Part a: random number table;
Let each of five trials figures be represented by a number from 0 to 4.Pick digits at random from a table of numbers, ignoring those that are bigger than 4. Determine how many digits (0–4) from the table—including repeats—are required to get all five numbers. One try, like this.Part b: labeling the random number.
7318495907 05179 51002(10 boxes) 8337452297 07769 99792 78365 9348772753 36216 (15 boxes) 07230 35793 71907 65571 66784(10 boxes) 25548 91861 15725.
Part c: conclusion,
On average, Claire should plan to purchase 12 boxes.
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What type of variable is required to construct a confidence interval for a population proportion?.
The confidence interval for a proportion should be constructed since the variable of interest is a person's opinion, which is a qualitative variable.
What is a qualitative variable?A trait that cannot be quantified is referred to as a categorical variable (also known as a qualitative variable).
Nominal or ordinal categorical variables are also acceptable.
Since the variable of interest is a person's opinion, which is a qualitative variable, the confidence interval for a proportion should be built.
Statistical Variables Qualitative variables also referred to as categorical variables are variables without a built-in sense of hierarchy.
As a result, they are quantified using a nominal scale.
For instance, a qualitative variable is a name as well as hair color (Black, Brown, Gray, Red, Yellow).
Therefore, the confidence interval for a proportion should be constructed since the variable of interest is a person's opinion, which is a qualitative variable.
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Please help me!
If f(x) = 3x^2 -3 then what is f(4)?
Show work
Answer:
f(4)= 45
Step-by-step explanation:
f(x)=3x^2-3. (1)
f(4)=?
so we have to put x=4 in equation (1)
we get
f(4)=3[(4)^2]-3
f(4) =3(16)-3
f(4)= 48-3
f(4)= 45 Answer...
using a random sample from a population, carys cannot decide if she wants to construct a 90 percent confidence interval for the population mean or a 95 percent confidence interval for the population mean. what is the difference between the two confidence intervals?
if a statistician decides to construct using 90 percent C I over a 95% C I, it tells you that you have 10% chance of being wrong rather than 5% chance of being wrong while using the 95%.
What is the percentage?
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
A confidence interval is a range that shows how precise the measurement is.
if a statistician decides to construct using 90 percent C I over a 95% C I, it tells you that you have 10% chance of being wrong rather than 5% chance of being wrong while using the 95%.
Also a 90 percent confidence interval would be narrower than a 95 percent confidence interval
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What is the value of the expression below when z = 3?
z²+z+7
Answer:
19
Step-by-step explanation:
3^2+3+7
9+3+7
12+7
19
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A truck has a mass of 5000 kg. The truck driver presses on the brakes. The unbalanced net force acting on the truck when the brakes were applied was 6000N. What is the truck’s Acceleration?
The acceleration of the truck when it has a mass of 5000 kg and the truck driver presses on the brakes is 1.2m/s².
What is acceleration?The rate of change of an object's velocity with respect to time is defined as acceleration. Vector quantities are accelerations.
The orientation of an object's acceleration is determined by the orientation of the net force acting on that object's acceleration, which is the rate at which velocity changes over time in terms of both speed and direction. A point or object moving in a straight line is accelerated if it accelerates or decelerates.
Acceleration will be:
= Force / mass
= 6000 / 5000
= 1.2 m/s²
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