The function N for d days of both rumors are N(d) = 2 + 5d and N(d) = 2(3)^d
How many students know the rumor on day 0Here, the number of students are the students that start the rumor i.e. Susanna and Liz
So, we have
JB = 2 studentsRihanna = 2 studentsHow many students know the rumor on day 2For the Justin Beiber rumor, the rumor spreads at a linear rate of 5 per day
So, we have
JB day 2 = 2 + 5(2) = 7
For the Rihanna rumor, the rumor spreads at an exponential rate of 3
So, we have
Rihanna day 2 = 2 * (3)^2 = 18
Days for students to knowUsing the functions, we have
JB
2 + 5x = 32 students
5x = 30
x = 6 days
Rihanna
2(3)^x = 162 students
3^x = 81
x = ln(81)/ln(3)
x = 4 days
The function N for d daysJB
N(d) = 2 + 5d
Rihanna
N(d) = 2(3)^d
So, we have
d JB Rihanna
0 2 2
1 7 6
2 12 18
3 17 54
4 22 162
5 27 486
6 32 1458
7 37 4374
8 42 13122
9 47 39366
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Question is below ⬇️.
Answer:
b.59
Step-by-step explanation:
this is the answer of whats you want
x+y+3=0,2x+3y-4=0.Solve the question graphically
Answer:
To solve the system of equations x + y + 3 = 0 and 2x + 3y - 4 = 0 graphically, we can plot the two lines and find their point of intersection.
First, let's rearrange the equations to the slope-intercept form y = mx + b:
x + y + 3 = 0 => y = -x - 3
2x + 3y - 4 = 0 => y = (-2/3)x + 4/3
Now we can plot these two lines on a graph:
|
3 | o
| /
2 | /
| /
1 | /
| /
0 |/
------------
0 1 2 3
The first line has a y-intercept of -3 and a slope of -1, so we plot a point at (0, -3) and then go down one unit and right one unit to plot another point. We can then draw a line through these two points.
The second line has a y-intercept of 4/3 and a slope of -2/3, so we plot a point at (0,4/3) and then go down two units and right three units to plot another point. We can then draw a line through these two points.
The point where the two lines intersect is the solution to the system. From the graph, we can see that the intersection point is approximately (-3,0).
Therefore, the solution to the system is x = -3 and y = 0.
How many positive integers less than 1000 have the sum of their digits equal to 4
Answer:
15
Step-by-step explanation:
The functions f(x) = 500(1.015)* and g (x) =
500(1.021)* give the total amounts in two different savings accounts after x years. How do the graphs of f(x) and g(x) compare?
A. They have the same y-intercept, but the graph of f(x) rises more quickly over time.
B. They have the same y-intercept, but the graph of g(x) rises more quickly over time.
C. The function f(x) has a greater -intercept and rises more quickly over time.
D. The function g(x) has a greater -intercept and rises more quickly over time.
The graphs of functions f(x) and g(x) compare as -
Option B: They have the same y-intercept, but the graph of g(x) rises more quickly over time.
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
The function f(x) is given as [tex]f(x)=500(1.015)^x[/tex].
The function f(x) is given as [tex]g(x)=500(1.021)^x[/tex].
The y-intercept of both functions is 500, which represents the initial amount in the savings accounts.
To compare the rates at which the functions rise over time, we need to compare their growth factors, which are 1.015 and 1.021 for f(x) and g(x), respectively.
Since 1.021 is greater than 1.015, the function g(x) grows at a faster rate than f(x).
Therefore, the correct answer is -
Option B: They have the same y-intercept, but the graph of g(x) rises more quickly over time.
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What is the value of z in this triangle?
Enter your answer in the box.
z =
Answer:
z = 23
Step-by-step explanation:
62 + 95 = 157
180 - 157 = 23
Suppose we have a binomial random variable X with probability p. The probability of exactly 3 successes in 8 trials is {8}C{3}(p)^(3)(.45)^(5)
. What is the mean and standard deviation of X?
We may still infer something about their connection, though: the mean function and standard deviation both rise as p approaches 0.5, peaking at their highest levels at p = 0.5.
what is function?Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
A binomial distribution's mean or anticipated value is determined by the formula = np, where n is the number of trials and p is the success probability. The mean is = 8p in this instance since n = 8 and p is a parameter.
The formula for a binomial distribution's standard deviation is = sqrt(np(1-p)). We obtain = sqrt(8p(1-p)) using the same numbers as previously.
So, for this particular issue, we have:
Mean: μ = 8p
[tex]\Sqrt(8p(1-p))[/tex] is the standard deviation.
Since p is unknown, we are unable to determine the actual mean and standard deviation. We may still infer something about their connection, though: the mean and standard deviation both rise as p approaches 0.5, peaking at their highest levels at p = 0.5.
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A computer company hired interns from a group of 234 applicants. The table shows the
numbers of applicants who were or were not computer science majors, and the numbers
of applicants who were or were not hired.
INTERNSHIP APPLICANTS
Computer Science Majors Other Majors Total
58
96
102
138
160
234
Hired
Not hired
Total
Match the probabilites with the description.
Column A
1.
2.
3.
38
36
74
4.
What is the probability that the intern had a
Computer Science Major and did not get hired.
What is the probability that the intern had a
major other than Computer Science?
What is the probability that a Computer Science
Major was hired?
What is the probability that an intern with a
major other than Computer Science was not
hired?
Column B
a. Marginal - 68.3%
b. Marginal - 31.6%
c. Joint 43.6%
d. Conditional - 36.2%
e. Joint - 51.2%
f. Conditional - 48.6%
The answers are given below:
e. Joint - 25.9%a. Marginal - 59.4%d. Conditional - 36.25%f. Conditional - 58.97%How to solveGiven the table, we solve for the probabilities:
P(CS Major and Not Hired) = (CS Majors Not Hired) / Total Applicants = 102 / 394
P(CS Major and Not Hired) = 25.9% (e. Joint - 25.9%)
P(Other Major) = (Total Other Majors) / Total Applicants = 234 / 394
P(Other Major) = 59.4% (a. Marginal - 59.4%)
P(Hired | CS Major) = (CS Majors Hired) / Total CS Majors = 58 / 160
P(Hired | CS Major) = 36.25% (d. Conditional - 36.25%)
P(Not Hired | Other Major) = (Other Majors Not Hired) / Total Other Majors = 138 / 234
P(Not Hired | Other Major) = 58.97% (f. Conditional - 58.97%)
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Use the function y= 3/4x-1 to answer parts (a) & (b) below:
a. Find the equation of the inverse function of the given function using only algebra.
b. Using the coordinate grid, show how you can find the inverse function of the given function without using algebra. Then explain in at least one complete sentence how you know you found the correct inverse function based on your graph.
The inverse function of [tex]y = (3/4)x - 1[/tex] is: [tex]y = (4/3)(x + 1)[/tex]).
What is the inverse function of the given function?An inverse function refers to the function that returns the original value for which a function has given the output.
To find the inverse function of y= 3/4x - 1, we must to interchange x and y and solve for y:
x = (3/4)y - 1
x + 1 = (3/4)y
y = (4/3)(x + 1).
b. Finding the inverse function of a given function without using algebra can be done by graphing the function and reflecting it across the line y = x which is known as the reflection property of inverse functions.
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The relay race is just over one mile long, approximately yards. If jack and 4 other people each run a leg of the relay. How many yards will each runner run? Justify your answer using an estimation strategy.
We can infer that each runner will cover 352 yards in total using division.
What is division?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division.
The other operations are multiplication, addition, and subtraction.
For instance, "12 divided by 4" translates to "12 shared into 4 equal groups," which would be 3 in our example.
This is represented by the division sign, or obelus, in mathematics.
So, calculate as follows: Using division
= 1760 / 5
= 352
Therefore, we can infer that each runner will cover 352 yards in total using division.
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Correct question:
The relay race is just over one mile long, approximately "1,760" "1" /"4" yards. If Jack and 4 other people each run a leg of the relay, how many yards will each runner run? Justify your answer using an estimation strategy.
Shelby wants to estimate the difference in the mean caffeine content of a large coffee of the two types (light - dark) Assume that the conditions for inference have been met .
It is critical to ensure that the requirements for inference are satisfied before doing a two-sample t-test. These criteria include observation independence, normality of the sample distribution, and variance equality.
What exactly is the test statistic?A test statistic is a number produced by a statistical test. It quantifies how much your observed data deviates from the null hypothesis, which states that there is no association between variables or that there is no difference between sample groups.
Shelby might use a two-sample t-test to assess the difference in the mean caffeine content of a huge coffee between the two types (light and dark) if the conditions for the study are met..
Shelby can take the following steps:
As follows, define the null and alternative hypotheses:
The null hypothesis (H0) states that the caffeine content of a large coffee is the same for both kinds (light and dark) (i.e., the difference in means is zero).
Alternative hypothesis (Ha): The mean caffeine amount of a large coffee for the two varieties (light and dark) is not equal (i.e., there is a nonzero difference in means).
Gather the data:
Shelby must acquire a sample of big coffees, both light and dark, and determine their caffeine level.
Determine the test statistic:
Shelby must compute the test statistic t = (x1 - x2) / (s * sqrt(1/n1 + 1/n2), where x1 and x2 are the sample means, s is the pooled standard n1 and n2 represent the sample sizes.
Determine the p-value:
Shelby may obtain the p-value associated with the estimated test statistic by using a t-distribution table or statistical software.
Make a choice:
Shelby can reject the null hypothesis and conclude that there is evidence that the mean caffeine content of a large coffee for the two kinds (light and dark) is different if the p-value is less than the significance threshold (alpha).
Shelby concludes that there is insufficient evidence to establish a difference in the mean caffeine content of a large coffee for the two varieties (light and dark) if the p-value is larger than the significance level (alpha).
It is critical to ensure that the requirements for inference are satisfied before doing a two-sample t-test. These criteria include observation independence, normality of the sample distribution, and variance equality. If these requirements are not satisfied, nonparametric tests, for example, might be employed instead.
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Standard error of the difference = sqrt[(s1²/n1) + (s2²/n2)]
where s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.
What is statistics?
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data.
To estimate the difference in the mean caffeine content of a large coffee of the two types (light-dark), Shelby can follow these steps:
Collect a random sample of large coffees from each type, ensuring that the sample sizes are large enough to meet the conditions for inference. The conditions for inference include the independence of the samples, the normality of the population distributions, and the equality of the population variances.
Compute the sample mean and standard deviation for each sample.
Compute the difference in sample means, which will give an estimate of the difference in population means.
Construct a confidence interval or perform a hypothesis test to determine whether the difference in sample means is statistically significant.
For a confidence interval, Shelby can use the following formula:
(Difference in sample means) ± (t-value)*(Standard error of the difference)
where the standard error of the difference can be computed using the following formula:
Standard error of the difference = sqrt[(s1²/n1) + (s2²/n2)]
where s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.
For a hypothesis test, Shelby can use the following steps:
State the null and alternative hypotheses.
Determine the level of significance and the appropriate test statistic (t-test).
Calculate the test statistic using the following formula:
t = (Difference in sample means) / (Standard error of the difference)
Determine the p-value associated with the test statistic using a t-distribution table or statistical software.
Compare the p-value to the level of significance to determine whether to reject or fail to reject the null hypothesis.
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If a-1/a=7 what find the value of a4+1/a4
If a binary logistic regression has a pseudo R-Square (L) of 60%, then a) the model is better than another logistic regression with a R-square (CS) of 50%. b) 60% of the variation in the data can be explained by the logistic regression c) Other types of pseudo R-squares may be greater or less than 60% with the same logistic regression model. d) the model is better than another multiple linear regression model with an R- square of 55%.
The correct answer is c) Other types of pseudo R-squares may be greater or less than 60% with the same logistic regression model.
Pseudo R-squares, such as the one used in logistic regression, are measures of how well the model fits the data, but they cannot be directly compared to R-squared values from other types of regression models. Therefore, we cannot conclude that the logistic regression model with a pseudo R-Square of 60% is better than another logistic regression with an R-square (CS) of 50% or a multiple linear regression model with an R-square of 55%. However, we can say that 60% of the variation in the data can be explained by the logistic regression model, based on its pseudo R-Square value.
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The combined math and verbal scores for females taking the SAT-I test are normally distributed with a mean of 998 and a standard deviation of 202 (based on date from the College Board). If a college includes a minimum score of 1025 among its requirements, what PERCENTAGE of females do not satisfy that requirement? Write your answer as a percent! Use Excel to obtain more accuracy.
The percentage of females that do not satisfy the requirement is given as follows:
55.17%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is obtained by the equation presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation are given as follows:
[tex]\mu = 998, \sigma = 202[/tex]
The proportion that does not satisfy the requirement is the p-value of Z when X = 1025(proportion less than 1025), hence:
Z = (1025 - 998)/202
Z = 0.13
Z = 0.13 has a p-value of 0.5517.
Hence the percentage is given as follows:
0.5517 x 100% = 55.17%.
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A rectangular prism shaped shipping container is 1014 inches wide, 1512 inches long, and 2012 inches tall.
What is the volume of the shipping container in cubic inches?
Responses
4614 in³
46 and 1 fourth, in³
15878 in³
158 and 7 eighths, in³
3000116 in³
3000 and 1 sixteenth, in³
32561516 in³
The volume of shipping container is calculated as:
c. 3000116 in³ 3000 and 1 sixteenth, in³
How to Find the Volume if Rectangular Prism Shipping Container?The shipping container in this problem has a shape of rectangular prism. To find it's volume, we will apply the formula for the volume of a rectangular prism which is given as:
Volume = length × width × height.
Given the parameters of the shipping container as:
Length = 1512 inches
Width = 1014 inches
height = 2012 inches
Plug in the values:
volume of shipping container = 1512 × 1014 × 2012
= 3.08473402e9 cubic inches.
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Calculate the product
20 (-15)
Answer:
Step-by-step explanation:
Product means multiply.
-300
Tanner has a total of $2,250 to put into two different accounts.
He deposited $1,100 into one account that pays 3% compounded annually.
He deposited $1,150 into one account that pays 7.5% simple interest.
What will be the balance Tanner will have in the two accounts at the end of 7 years? (Round to the nearest cent)
At the end of 7 years, Tanner will have a total balance of approximately $3,101.29 in the two accounts.
For the first account with a principal of $1,100 and an annual interest rate of 3% compounded annually, we can use the compound interest formula:
Future Value (FV) = P * (1 + r)^n
where P is the principal, r is the annual interest rate (as a decimal), and n is the number of years.
FV1 = $1,100 * (1 + 0.03)^7
FV1 ≈ $1,100 * (1.03^7)
FV1 ≈ $1,100 * 1.22504
FV1 ≈ $1,347.54
For the second account with a principal of $1,150 and an annual interest rate of 7.5% simple interest, we can use the simple interest formula:
Future Value (FV) = P + P * r * n
where P is the principal, r is the annual interest rate (as a decimal), and n is the number of years.
FV2 = $1,150 + $1,150 * 0.075 * 7
FV2 = $1,150 + $1,150 * 0.525
FV2 = $1,150 + $603.75
FV2 ≈ $1,753.75
Now we add the future values of both accounts together:
Total Balance = FV1 + FV2
Total Balance ≈ $1,347.54 + $1,753.75
Total Balance ≈ $3,101.29
Please help! (Question on picture)
Required value of the given expression (15w/9) + 4w - 6 is (-23)
What is substitution method?
The substitution method is an algebraic method for solving linear simultaneous equations. This method replaces the value of one variable in one equation with another equation. In this way, we can converted a pair of linear equations into a single linear equation with only one variable which can then be easily solved.
Here given expression is (15w/9) + 4w - 6 and value of w is (-3).
We are simply substituting -3 for w and simplify,
(15w/9) + 4w - 6 = (15(-3)/9) + 4(-3) - 6
= (-45/9) - 12 - 6
= -5 - 12 - 6
= -23
Therefore, when w = -3, the value of the expression (15w/9) + 4w - 6 is -23.
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Real-life Problems Question 10
Answer :
a) It is given that
Everyday a machine makes 500000 staples and puts them into the boxes.
The machine need 170 staples to fill a box
One box contans = 170 staples.
Total number of staples = 500000
Number of box required to fill 500000 staples = Total number of staples/No. of staples 1 box contains.
[tex] \: :\implies [/tex] 500000 /170
[tex] :\implies \: [/tex] 2941 (approx)
Therefore, 2941 boxes are required to fill with 500000 staples.
b) It is given that,
Each staple is made of 0.21 g of metal .
Total weight of metal = 1 kg = 1000 g
1 staple = 0.21 g
Number of staples = weight of metal/ Weight of 1 staple.
[tex] \: :\implies [/tex] 1000/0.21
[tex] \: :\implies [/tex] 4761 (approximately)
Therefore, 4761 staples can be made from 1 kg of the metal.
A rocket is launched in the air. Its height in feet is given by h(t) = - 16t ^ 2 + 112t where t represents the time in seconds after launch. What is the appropriate domain for this situation?
Answer:
Step-by-step explanation:
A
Infuse 0.8 liters for 9 hours at a drop factor of 60 gtt/ ml. how many ml will be infused per hour
the infusion rate is 88.89 ml/hr or 88.89 gtt/min.
What is Rate?
A rate in arithmetic is a ratio that contrasts two separate values with various unit systems. For instance, if John types 50 words per minute, that means he types 50 words per minute. We are dealing with a rate because the word "per" is there. The symbol "/" can be used in place of the word "per" in issues.
When two or more similar amounts or numbers are being compared using the same units, a ratio is utilized. When referring to the ratio of one quantity "to" the second quantity in spoken language, it is frequently written with a colon.
Next, we can use the formula:
Flow rate (ml/hr) = (Volume infused ÷ Time in hours)
Flow rate (ml/hr) = (800 ml ÷ 9 hours)
Flow rate (ml/hr) = 88.89 ml/hr (rounded to two decimal places)
Finally, we can convert the flow rate from ml/hr to drops per minute (gtt/min) using the drop factor of 60 gtt/ml:
Flow rate (gtt/min) = Flow rate (ml/hr) x Drop factor (gtt/ml) ÷ 60 (min/hr)
Flow rate (gtt/min) = (88.89 ml/hr x 60 gtt/ml) ÷ 60 (min/hr)
Flow rate (gtt/min) = 88.89 gtt/min (rounded to two decimal places)
Therefore, the infusion rate is 88.89 ml/hr or 88.89 gtt/min.
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Solve for g
3/16= (-5/4) + g
Answer:g=23/16
Step-by-step explanation: The negative number adds up.
A car travels 220 miles in 4 hours. The car travels with constant speed.
Which table or equation represents the distance d, in miles, traveled in t hours?
Select TWO correct answers.
Answer:
110 in 2 hours
Step-by-step explanation:
by using division and knowledge of unit rates, we can divide 220 by 2 and get 110, we also have to divide 4 by 2 which results in 2. hope this helps
rechna notices her car driving at 40km/hr and knows that at that speed she will reach home in 2 hours if she wants to reach her home only in an half hour by what percentage does she need to increase her speed choose the correct answer 50%,100%,200%,400%
To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.
What is speed?Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.
To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.
If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.
By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.
Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.
The time taken to reach her destination while travelling at her initial speed is 2 hours.
To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.
Therefore, the percentage increase in speed
= (30/120) x 100
= 25%.
Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.
To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.
Therefore, the correct answer is 200%.
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Write in point slope form please
Answer:
below
Step-by-step explanation:
in the picture in the picture in the picture in the picture in the picture
I need to know it please
Answer:
63 cm²
Concept used:
Area of a parallelogram = b · h
(b: base and h: height of the parallelogram)
Step-by-step explanation:
The given figure is a parallelogram.
Required Area = 9 * 7
= 63 cm²
1. Find the Fourier series of the given function f (x), which is assumed to have the period
2π. Show the details of your work.
() = { , − < < 0
− , 0 < <
Answer:
The given function f(x) is:
f(x) = { 1, -π < x < 0
{ -1, 0 < x < π
Since the function is odd and has period 2π, the Fourier series will only have sine terms. The Fourier series of f(x) can be written as:
f(x) = Σ[b_n sin(n x)], where n >= 1
where b_n is the n-th Fourier coefficient, given by:
b_n = (1/π) ∫[0,π] f(x) sin(n x) dx
We can evaluate the integral to find the Fourier coefficients:
b_n = (1/π) ∫[0,π] f(x) sin(n x) dx
= (1/π) [ ∫[0,π/2] sin(n x) dx - ∫[π/2,π] sin(n x) dx ]
= (1/π) [ -cos(n x)/n |[0,π/2] + cos(n x)/n |[π/2,π] ]
= (1/π) [ (-cos(n π/2)/n + 1/n) - (cos(n π) - cos(n π/2))/n ]
= (1/π) [ (1 - (-1)^n) / n ]
Therefore, the Fourier series of f(x) is:
f(x) = Σ[(1 - (-1)^n)/(n π) sin(n x)]
Where the sum is taken over all odd integers n.
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The solution of the logarithmic equation is v = 0.00137
How to solve the logarithmic equation?Here we want to solve the logarithmic equation:
log₃(v) = -6
Remember that:
logₐ(x) = ln(c)/ln(a)
Then we can rewrite the equation as follows:
log₃(v) = -6
ln(v)/ln(3) = -6
ln(v) = -6*ln(3)
Now we can apply the exponential equation in both sides, we will get.
exp(ln(v)) = exp(-6*ln(3))
v = exp(-6*ln(3))
v = 0.00137
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x-intercepts: (-3, 0) and (3, 0)
Write the equation of the line of symmetry
Answer:
The x-intercepts of a quadratic function are the points where the graph of the function intersects the x-axis. If a quadratic function has x-intercepts at (-3, 0) and (3, 0), then the graph of the function is symmetric with respect to the y-axis.
The line of symmetry of a symmetric function is a vertical line that passes through the vertex of the function. In this case, the vertex of the function is located at the midpoint of the x-intercepts, which is at the point (0,0). Therefore, the equation of the line of symmetry is simply the equation of the vertical line passing through (0,0), which is:
x = 0
So the equation of the line of symmetry is x = 0.
Select the correct answer.
If f(x) = 2x²-x-6 and g(x) = x2 - 4, find f(x) + g(x).
Answer: The answer is C
Answer:
C. (2x+3)/(x+2)
Step-by-step explanation:
You want the expression representing f(x)/g(x) where f(x) = 2x² -x -6 and g(x) = x² -4.
SimplifyThe ratio of the functions can be simplified by canceling common factors.
[tex]\dfrac{f(x)}{g(x)}=\dfrac{2x^2-x-6}{x^2-4}=\dfrac{(x-2)(2x+3)}{(x-2)(x+2)}=\boxed{\dfrac{2x+3}{x+2}}\qquad\text{matches choice C}[/tex]
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on 9 of 20
Robert receives a salary of $60,000 per year, or $2,500 semi-monthly. How
much does his employer pay for his Medicare tax each pay period?
A. $46
B. $51
C. $36
D. $41
Answer:
Robert's semi-monthly salary is $2,500. This means he earns $5,000 per month. The Medicare tax rate is 1.45%, so his employer pays 1.45% of his salary for Medicare tax. This is equal to $72.50 per month. Since he is paid semi-monthly, his employer pays $36.25 for his Medicare tax each pay period. Therefore, the answer is C. $36.