Answer:
F+9 represents the sum of the functions f(x) and 9, which can be expressed as f(x) + 9. The domain of F+9 is the same as the domain of f(x), which is all real numbers.
F-9 represents the difference between the functions f(x) and 9, which can be expressed as f(x) - 9. The domain of F-9 is also all real numbers.
Fg represents the product of the functions f(x) and g(x), which can be expressed as f(x) * g(x) = x * sqrt(x). The domain of Fg is the set of non-negative real numbers, as the square root function is defined for non-negative values of x.
F/g represents the quotient of the functions f(x) and g(x), which can be expressed as f(x) / g(x) = x / sqrt(x) = sqrt(x). The domain of F/g is also the set of non-negative real numbers.
Step-by-step explanation:
When we add or subtract a constant from a function, such as F+9 or F-9, the resulting function has the same domain as the original function. In this case, the domain of f(x) is all real numbers, so the domain of F+9 and F-9 is also all real numbers.
When we multiply two functions, such as Fg, the resulting function is defined at the points where both functions are defined. In this case, the function f(x) = x is defined for all real numbers, and the function g(x) = sqrt(x) is defined for non-negative real numbers. Therefore, the domain of Fg is the set of non-negative real numbers.
When we divide two functions, such as F/g, the resulting function is defined where both functions are defined and the denominator is not equal to zero. In this case, the function f(x) = x is defined for all real numbers, and the function g(x) = sqrt(x) is defined for non-negative real numbers. The denominator sqrt(x) is equal to zero when x = 0, so we exclude this point from the domain. Therefore, the domain of F/g is the set of non-negative real numbers excluding zero.
To learn more about Domains
brainly.com/question/28575161
#SPJ11
The Diamond Rule says two factors, m and n, must multiply to get to the top number and add to get to the bottom number What are the possible values for m and n
-4 and -8
-2 and 16
4 and 8
-4 and 8
2 and 16
-2 and -16
Answer:
The answer for this should be A -4 and -8
Step-by-step explanation:
I'm also in k12
Answer
its 4 and 8 i took the quiz
Step-by-step explanation:
Question #6
The SUM of the angles in the parallelogram below is 360°, what is the value of x?
(5x)
(3x + 4)
(3x + 4)
(5x)
A
x = 23
B.
x = 15
I
С
x = 22
D
x = 21
Answer:
x = 22
Step-by-step explanation:
Add the expressions for the angle measures.
5x + (3x + 4) + (3x + 4) + 5x = 360
Combine like terms.
16x + 8 = 360
Subtract 8.
16x = 352
Divide by 16.
x = 22
Answer:
22⁰
Step-by-step explanation:
5x + 3x + 4 + 3x + 4 + 5x = 360⁰
=> 16x + 8 = 360
=> 16x = 360 - 8
=> 16x = 352
=> x = 352/16
=> x = 22
Hence,
Value of x is 22⁰
please help me asap!!
Answer:
a) a reflection across the Y axis, then a translation 4 units down
b) for (x,y) -> (-x,y-4)
b)
PLEASE HELP!!! 3x - x - 5 = 2(x+2)-9
Answer:
Infinite Solutions
Step-by-step explanation:
To solve for this problem, we want to isolate x on one side of the equation.
Apply the distributive property on the right side:
\(3x - x - 5 = 2x+4 -9\)
Combine like terms:
\(2x - 5 = 2x - 5\)
Woah, we have the exact same thing on both sides of the equation. This means that we have infinite solutions, aka any value of x will satisfy this equation.
Test it out! Any value of x, whether its 1, 5, or 10000 will satisfy the equation.
So this has infinite solutions.
Hope this helped!
Briana ha $3 in her piggy bank. She has all quarters and dimes. Write and equation in STANDARD FORM to represent this scenario. Use X and Y as your variables (Ax+By=C)
The equation in standard form representing the scenario where Briana has $3 in her piggy bank and has all quarters and dimes, using x for the number of quarters and y for the number of dimes, is \(25x + 10y = 300\).
Let x be the number of quarters and y be the number of dimes Briana has in her piggy bank.
The value of each quarter is 25 cents or 0.25 dollars, and the value of each dime is 10 cents or 0.10 dollars. Therefore, the total value of the coins in Briana's piggy bank can be expressed as:
\(0.25x + 0.10y\)
Since Briana has $3 in her piggy bank, we can set up the following equation:
\(0.25x + 0.10y = 3.00\)
To write this equation in standard form (\(Ax + By = C\)), we need to clear the decimals by multiplying both sides of the equation by 100:
\(25x + 10y = 300\)
Therefore, the equation in standard form that represents this scenario is:
\(25x + 10y = 300\)
Learn more about equation here:
https://brainly.com/question/29174899
#SPJ4
Help me please!!!!!!!
Answer:
1/9
Step-by-step explanation:
Because
P(both socks are white)= 2/18
A local restaurant owner claims that only 15% of visiting tourists stay for more than 2 days. A chamber of commerce volunteer is sure that the real percentage is higher. He plans to survey 100 tourists and intends to speak up if at least 18 of the tourists stay longer than 2 days. What is the probability of mistakenly rejecting the restaurant owner's claim if it is true?. 2005. 357. 714. 1428. 4010
The probability of mistakenly rejecting the restaurant owner's claim if it is true is 14.28% (or 0.1428).
This can be calculated using the binomial distribution formula:
P(X >= 18) = 1 - P(X < 18)
where X is the number of tourists who stay longer than 2 days.
Assuming the restaurant owner's claim is true, the probability of a tourist staying longer than 2 days is 0.15.
Therefore,
P(X < 18) = binomdist(17, 100, 0.15, TRUE) = 0.8572
Substituting into the first equation, we get:
P(X >= 18) = 1 - 0.8572 = 0.1428
So the probability of mistakenly rejecting the restaurant owner's claim if it is true is 14.28%.
learn more about binomial distribution:
https://brainly.com/question/29137961
#SPJ11
To answer this question, we need to use hypothesis testing.
Null hypothesis (H0): Only 15% of visiting tourists stay for more than 2 days.
Alternative hypothesis (Ha): The percentage of tourists staying for more than 2 days is higher than 15%.
We are given that the chamber of commerce volunteer plans to survey 100 tourists and will speak up if at least 18 of them stay longer than 2 days. This means that our test statistic is the number of tourists who stay longer than 2 days, which follows a binomial distribution with parameters n = 100 and p = the true percentage of tourists who stay longer than 2 days.
To calculate the probability of mistakenly rejecting the null hypothesis if it is true (also known as the type 1 error rate or alpha), we need to assume a significance level. Let's assume a significance level of 0.05 (or 5%).
Using a binomial calculator, we can find the probability of observing at least 18 tourists who stay longer than 2 days under the null hypothesis:
P(X >= 18 | n = 100, p = 0.15) = 0.088
This means that there is an 8.8% chance of mistakenly rejecting the restaurant owner's claim if it is true.
Therefore, the answer is 8.8% or 0.088 (rounded to three decimal places).
As part of a project about response bias, Ellery surveyed a random sample of 25 students from her school. One of the questions in the survey required students to state their GPA aloud. Based on the responses, Ellery said she was 90% confident that the interval from 3. 14 to 3. 52 captures the mean GPA for all students at her school.
Required:
a. Interpret the confidence level.
b. Explain what would happen to the length of the interval if the confidence level were increased to 99%.
c. How would a 90% confidence interval based on a sample of size 200 compare to the original 90% interval?
d. Describe one potential source of bias in Ellery's study that is not accounted for by the margin of error
It should be emphasized that this suggests that we are 90% certain that the mean GPA for all students at the institution is between 3.14 and 3.52
Sampling
If the confidence level were raised to 99%, something would happen to the interval's length, increasing it.
The difference between a 90% confidence interval based on a 200-person sample and the original 90% interval is that the latter is narrower.
Last but not least, having the students say their grades aloud could have introduced bias into Ellery's study, which is not taken into account by the margin of error. Some of them with lesser grades will start to lie as a result.
Learn more about sampling on:
brainly.com/question/17831271
#SPJ4
The following is an equilateral triangle. Solve for y.
(y-8)°
A) 57 Degrees
B) 60 Degrees
C) 68 Degrees
D) 72 Degrees
Answer:
y = 68 degrees
Step-by-step explanation:
Here, we want to solve for an equilateral triangle with the internal angle measurement being y-8
If one of the angles is y-8, then the rest are y-8 too
mathematically, by adding all , we have a total of 180
Thus;
3(y-8) = 180
y-8 = 180/3
y-8 = 60
y = 60+8
y = 68 degrees
5 5/2+2 3/5 pls I rlly need it
Answer:
Step-by-step explanation:
To solve the expression "5 (5/2) + 2 (3/5)", we'll first simplify each term inside the parentheses, then add them up:
5 (5/2) = 5 * (5/2) = 5 * 2.5 = 12.5
2 (3/5) = 2 * (3/5) = 2 * 0.6 = 1.2
Now we can add the two terms:
12.5 + 1.2 = 13.7
So the expression "5 (5/2) + 2 (3/5) = 13.7".
Answer:
\(\frac{137}{10}\) / 13\(\frac{7}{10}\)
Step-by-step explanation:
5 \(\frac{5}{2}\) +2 \(\frac{3}{5}\)
= \(\frac{11}{2}\) + \(\frac{13}{5}\)
do cross multiplication
= \(\frac{137}{10}\)
further simplify ⇒ mixed fraction= 13\(\frac{7}{10}\)
I’m not sure I need help
Answer:
D) \(1 < x\leq 4\)
Step-by-step explanation:
1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)
Ping lives at the corner of 3rd street and 6th avenue. ari lives at the corner of 21st street and 18th avenue. there is a gym the distance from ping's home to ari's home. where is the gym?
The distance between ping's home to aris's home will be 1 street and 12th avenue.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given,
Ping house ⇒ 3rd street and 6th avenue
Ari's home ⇒ 21st street and 18th avenue
So, the distance between them
21 - 3 = 18 street
18 - 6 = 12 avenue.
Hence "The distance between ping's home to aris's home will be 1 street and 12th avenue".
To learn more about the arithmetic operators,
brainly.com/question/25834626
#SPJ4
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
A. 48mi^3
Step-by-step explanation:
To find the volume of a rectangular prism, you multiply:
length x width x height
1. Jennifer can mow the lawn in 20 min. Kristen can mow the lawn in 30 min. If they work together, how long will it take them to mow the lawn
Answer:
Sam can do the job in 20 min. So he can do the whole job at the rate of 1 job in 20 minutes.
So he does 1/20 of the job per minute.
.
Rob can do the job in 30 min. His rate is 1/30 of the job per minute.
.
Working together how does it take?
.
1/20*x + 1/30*x = 1 job done
, where x = minutes.
.
Step-by-step explanation:
Evaluate 18a+5 when a=3.
18a+5=
Answer:
59
Step-by-step explanation:
18(3)=54+5=59
I dont see why it isnt 59, talk to me in th comments
Which is the first error that Tomas made? Tomas substituted the 3 for x when he should have substituted 6 for x. Tomas added 6 to both sides of the equation instead of subtracting 6. Tomas should have written the equation as . Tomas substituted 3 for x when he should have substituted 3 for y.
Answer:
Tomas added 6 to both sides of the equation instead of subtracting 6Step-by-step explanation:
Find the complete question in the comment section.
Given the equation 2x+6y=12 to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts.
If he buys 3pounds of granola, and he need to get amount of walnut, he should have substituted x = 3 into the expression to get y as shown:
\(2x+6y=12\\2(3)+6y=12\\6+6y = 12\\subtract\ 6 \ from \ both \ sides \\6+6y-6 = 12-6\\6y = 6\\y = \frac{6}{6}\\ y = 1\)
Comparing the calculation with Tomas's, we can see that Tomas added 6 to both sides of the equation on line 3 instead of subtracting 6 from both sides of the equation. This was Tomas first error.
Answer:
Tomas added 6 to both sides of the equation instead of subtracting 6.
Step-by-step explanation: Took test
Evaluate 9 to the power of -1/2
Evaluate 9 to the power of -1/2
=> 0.05
The equivalent expression of ''9 to the power of -1/2'' would be 1/3.
Used the concept of the square root of a number that states that,
The square root of a number is the number that, when multiplied by itself, gives the original number.
Given that,
The expression is 9 to the power of -1/2.
Now, it can be written as,
9 to the power of -1/2
\(= 9^{- 1/2}\)
\(= \dfrac{1}{9^{1/2} }\)
\(= \dfrac{1}{(3^2)^{1/2} }\)
\(= \dfrac{1}{3 }\)
Therefore, the expression is written as 1/3.
To learn more about square root visit:
https://brainly.com/question/428672
#SPJ6
PLS HELP THE PICTURE IS DOWN BELOW
Answer:
4
Step-by-step explanation:
Normally you would have to figure out the distance of the x- and y-components and use the Pythagorean Theorem; however, because the y-coordinates of both points are the same, you only need the x-coordinates.
You have the first point back 3, and the second point forward 1.
So starting at -3, you move 4 points to get to 1.
((-3 to -2 (1), -2 to -1 (2), -1 to 0 (3), 0 to 1 (4)))
Factorise (2x+3y)²-(x-4y)²
Answer:
(3x−y)(x+7y)
Step-by-step explanation:
Factor (2x+3y)^2−(x−4y)^2
3x^2+20xy−7y^2
=(3x−y)(x+7y)
Answer:
(3x - y)(x + 7y)
Step-by-step explanation:
Given
(2x + 3y)² - (x - 4y)² ← is a difference of squares and factors in general as
a² - b² = (a + b)(a - b)
Here a = 2x + 3y and b = x - 4y , then
(2x + 3y + x - 4y)(2x + 3y - (x - 4y))
= (3x - y)(2x + 3y - x + 4y) = (3x - y)(x + 7y)
Thus
(2x + 3y)² - (x - 4y)² = (3x - y)(x + 7y) ← in factored form
The graph of the cubic parent equation, y=x3
, is plotted on the coordinate plane.
Select two equations that represent a shift of the graph of the parent equation to the right on the coordinate plane.
The two equations that represent a shift of the graph are y=(x-12)³ and y=(x+8)³.
What is an equation?
Variable terms are frequently used in complex algorithms to reconcile two opposing claims. Academic statements known as equations are used to express the equivalence of different academic quantities. Rather than using a specific algorithm to divide 12 into two parts and assess the data obtained from y + 7, normalization in this case leads to b + 7.
The two equations describe a shift of the graph of the parent equation on the coordinate plane towards the right.
=> y=(x-12)³
=> y=(x+8)³
Therefore , the solution of the given problem of equation comes out to be y=(x-12)³ and y=(x+8)³.
To know more about equation visit:
https://brainly.com/question/19040584
#SPJ1
2/5 divided 1/3 give answer in simplest form as a mixed number
Can you help? thank you
Answer:
1
Step-by-step explanation:
To find f(4), find the point in the graph where x = 4 .
And if you look at the point where x = 4 ; y = 1 .
So the answer is : 1
PEOPLE OF THE INTERNET I REQUEST YOUR HELP ONCE AGAIN
Answer:
15
Step-by-step explanation:4x+1=61 because they are congruent, -1 on both sides 4x=60 divide 4 on both sides, and x = 15
a sample of 50 lenses used in eyeglasses yields a sample mean thickness of 3.05 mm and a sample standard devia- tion of .34 mm. the desired true average thickness of such lenses is 3.20 mm. does the data strongly suggest that the true average thickness of such lenses is some- thing other than what is desired? test using a 5 .05.
A type of statistical hypothesis known as a "null hypothesis" makes the case that a given set of observations does not have any statistical significance.
Using sample data, hypothesis testing is used to determine a hypothesis's credibility. It is represented as H0, and it is sometimes referred to as the "null."
Given; The average thickness and standard deviation of a sample of 50 eyeglass lens samples are 3.05 millimeters and.34 millimeters, respectively.
Such lenses should have a true average thickness of 3.20 mm. Utilizing a =.05
False hypothesis H0: Alternative hypothesis: mu1= mu2 HA: 'mu1' and 'ne'
Sample Size 50 Sample Mean 3.05 Sample Standard Deviation 0.34 Intermediate Calculations Standard Error of the Mean 0.0481 Degrees of Freedom 49 t Test Statistic -3.1196 Two-Tail Test Lower Critical Value -2.0096 Upper Critical Value 2.0096 p-Value 0.0030 Reject the null hypothesis
To learn more about Null hypothesis here
https://brainly.com/question/28920252
#SPJ4
The difference of two numbers is 4. Their sum is 22. Find the numbers
Answer:
let the two numbers = x and y
according to the statement : x-y=4
x+y=22
by elimination method: 2x=26
x=13
so... y = 13-4=9
Answer:
The two numbers (x and y) are 13 and 9 respectively. 13 minus 9 is 4 and 13 plus 9 is 22.
Step-by-step explanation:
Let the two numbers be x and y.
The difference between x and y (x - y) = 4. (eqn 1)
Their sum (x + y) = 22. (eqn 2)
From eqn 1, we can get that x = 4 + y
Substituting x as (4 + y) in eqn 2 gives the following:
(4+y) + y = 22
4 + 2y = 22
and 2y = 22 - 4
2y = 18
dividing both sides by 2 gives y = 9.
Substituting y as 9 in eqn 1 gives
x - 9 = 4
x = 4 + 9
x = 13
Select all the points that are on the line through (0,5) (2,8)
A) (4,11)
B) (5,10)
C) (6,14)
D) (30,50)
E) (40,60)
Answer:D).
Step-by-step explanation:ok
Use this definition with right endpoints to find an expression for the area under the graph of f as a limit. Do not evaluate the limit.
f(x) = 4 + sin2(x), 0 ≤ x ≤
A = lim n → [infinity]
n i = 1
The expression for the area under the graph of the function \(f(x) = 4 + sin^2(x)\), where 0 ≤ x ≤ A, using right endpoints as a limit is given by the sum of the areas of rectangles with width A/n and height \(f(x_i)\), where \(x_i = i(A/n)\) for i = 1 to n.
To find the expression for the area under the graph of f(x), we divide the interval [0, A] into n subintervals of equal width A/n. We use right endpoints to determine the height of each rectangle. In this case, the height of each rectangle is given by \(f(x_i)\), where \(x_i = i(A/n)\) for i = 1 to n. The width of each rectangle is A/n. Therefore, the area of each rectangle is \([(A/n) * f(x_i)]\)
To find the total area, we sum up the areas of all the rectangles. This can be expressed as the limit as n approaches infinity of the sum from
i = 1 to n of \([(A/n) * f(x_i)]\). Taking the limit as n goes to infinity ensures that we have an infinite number of rectangles and that the width of each rectangle approaches zero. This limit expression represents the area under the graph of f(x) using right endpoints.
Learn more about rectangle here: https://brainly.com/question/15019502
#SPJ11
find the lump sum that must be deposited today to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually. Use the table of values below.
Answer:
The lum sum that must be deposited today is $12,506.25 to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually.
Step-by-step explanation:
We are given:
Future value (A)=$25,000
Rate r =8% (0.08%)
Time t = 9
Compounded Annually n =1
We need to find:
Principal Amount (P) = ?
The formula used will be:
\(A=P(1+\frac{r}{n})^{nt}\)
Putting values and finding Principal Amount (P)
\(A=P(1+\frac{r}{n})^{nt}\\25000=P(1+\frac{0.08}{1})^{9*1} \\25000=P(1+0.08)^{9} \\25000=P(1.08)^{9} \\25000=P(1+0.08)^{9} \\25000=P(1.9990)\\P=\frac{25000}{1.9990}\\\mathbf{P=12506.25 }\)
So, The lum sum that must be deposited today is $12,506.25 to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually.
AP STATS.
does anyone know how to divide these and calculate frequency?
Answer:
class:11-20
21-30
31-40
.
.
.
81-90
Step-by-step explanation:
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.
20% tip on a bill of $67.46