The required range of the given function g(x) = -1/2 |x-6| + 1 will be g(x) ≤ 1 or in internal notation form as (-∞, 1]. which is the correct answer would be an option (A).
The function is given in the question below as:
g(x) = -1/2 |x-6| + 1
We have to determine the range of the given function.
As per the given question, we have
⇒ g(x) = -1/2 |x-6| + 1
The range of an absolute function of the form:-
c|ax+b|+k is :f (x) ≤ k
In this case k = 1
⇒ g(x) ≤ 1
[tex]\mathrm{Range\:of\:}-\frac{1}{2}\left|x-6\right|+1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\le \:1\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:1]\end{bmatrix}[/tex]
Therefore, the required range of the given function will be g(x) ≤ 1 or in internal notation form as (-∞, 1].
Learn more about the domain and the range here:
brainly.com/question/21027387
#SPJ1
An 8-ounce container of yogurt is on sale for $1.12. What is the cost of 1 ounce of yogurt?
Answer: $0.14
Step-by-step explanation: All we have to do is divide $1.12 by 8 to get our answer, that being $0.14.
-4/7+2/7x-14x+4/7
please answer the question with work :))
Answer: -13.7142x ≈ -13.72x
Step-by-step explanation:
Combine like terms. (-4/7) and (4/7) cancel each other out because you are subtracting the exact number you are starting with. So you are left with 2/7x - 14x. 2/7-14 = -13.7142 so the answer is -13.7142x. Depending on how you round, the number will be slightly different. You may want to round to the nearest hundredth or tenth place.
(I left out the x in the answer in the picture but it is supposed to be after the -13.7142)
(t/f) true or false. with sample size greater than 30, the standard error of sample means is the same as sample standard deviation.
The standard error for sample means is equal to the sample standard deviation when the sample size is more than 30 is a "false" statement.
Define the term standard error?When comparing a population mean to a sample mean, the standard error of mean, called simply standard error, shows how dissimilar the two are likely to be.It reveals how much doing the sample mean could change if a study were to be repeated with fresh samples drawn from a single population.For the stated question-
Let's assume that our sample size is 30 and that the population standard deviation is 10.
standard error = 10/√30 = 1.83
Now let me use a sample size of 100 while keeping overall population standard deviation constant.
=10/10 = 1
It is obvious that with this sample size, the standard error will alter.
Therefore, when our sample size grows, the standard error will drop rather than stay the same.
Thus, the standard error for sample means is equal to the sample standard deviation when the sample size is more than 30 is a "false" statement.
To know more about the standard error, here
https://brainly.com/question/1191244
#SPJ4
The ratio of the number of students in the Chess Club to the number of students on the Math Team is 3:7.
There are 12 students in the chess club.
How many students are on the math team?
Answer:
28
Step-by-step explanation:
first, find out 12 / 3, which is 4
next multiply 4 by 7, which is 28
3:7 = 12:28
Unit 3 Parallel & Perpendicular Lines: Homework 3
Answer:
check the attached file
Step-by-step explanation:
A particle accelerates from rest with an acceleration of 3 ms2 to a speed V. It continues at
this speed for time T and then decelerates to rest at 1.5 ms. The total time for the motion
is 1 minute, and the total distance travelled is 1 km. Find a value for V.
The value for speed V is 188.15 m/s
How to find a value for V?It was given that a particle accelerates from rest with an acceleration of 3 m/s² to a speed V
It continues at this speed for time T and then decelerates to rest at 1.5m/s². The total time for the motion is 1 minute, and the total distance traveled is 1 km
During acceleration:
a = 3 m/s², at rest u = 0, t = T
V = u + at
V = 0 + 3T
V = 3T
During deceleration:
a = 1.5 m/s², t = 1 minute = 60 s, distance(s) = 1 km = 1000 m
V² = u² +2as
V² = (3t)² +2(1.5×1000)
V² = (3×60)² + 3000
V² = 32400 + 3000
V² = 35400
V = √35400
V = 188.15 m/s
Learn more about acceleration on:
https://brainly.com/question/19365526
#SPJ1
For the circle centered at the origin with radius 4 and equation x^2+y^2=16 find dx/dt.
dx/dt = 4+3√3 in the case of the circle with radius 4 and the equation x²+y²=16.
What is implicit differentiation?The method of finding an implicit function's dependent variable's derivative by differentiating each term individually, symbolizing the derivative, and then solving the resulting expression for the symbol.
Without having to solve the provided equation for y, you may use the implicit differentiation technique to determine the derivative of y with respect to x.
Because we assume that y may be written as a function of x, the chain rule must always be applied when differentiating the function y.
So, the dx/dt will be:
The circle's equation is: x² + y² = 16
Assuming that x = 2, then:
2² + y² = 16
y² = 12
y = ±√12
Hence, the first quadrant is positive:
y = √12
y = 2√3
When implicit differentiation is used, we get that:
2x dx/dt + 2y dy/dt = 16
If fracdydt = -3, as is the case, then
2(2) dx/dt - 12√3 = 16
4 dx/dt = 16 + 12√3
dx/dt = 16+12√3/4
dx/dt = 4+3√3
Therefore, dx/dt = 4+3√3 in the case of the circle with radius 4 and the equation x² + y² = 16.
Know more about implicit differentiation here:
https://brainly.com/question/25081524
#SPJ4
Kim had 4 chocolate chip cookies and 3 sugar cookies. Kim’s sister ate two of her chocolate chip cookies. Kim shared her remaining cookies with her brothers. How many cookies does one brother get?
Answer:
Your answer would be 1 chocolate chip cookie and 1.5 sugar cookie each.
Step-by-step explanation:
We know that Kim's sister ate two Chocolate Chip cookies, so: [tex]4-2 =2[/tex] and we also know that the rest of the cookies were shared by two people, so:
[tex]3[/tex] ÷ [tex]2 = 1.5[/tex] and [tex]2[/tex] ÷ [tex]2=1[/tex]
Ginny and Bob are both locksmiths.
Ginny uses the function f(x) = 60z+80 to determine the charge to her customers, where x represents the number of hours of
labor.
The table shows what Bobcharges a customer for x hours of labor.
x (hours)
cost ($)
0
60
140
Which locksmith charges less for an initial fee for a service call?
Drag a value or name to the boxes to correctly complete the statements
Ginny initial charge = $80, Bob initial charge =$60 For the initial fee, Bob charges less than Ginny.
What is unit rate?
A unit rate is the cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.
Given that Ginny charges by uses the function f(x)=60x+80 where x represents the number of hours of labour.
Ginny initial charge = $80
Bob initial charge =$60
Hence, For the initial fee, Bob charges less than Ginny.
To learn more about unit rate form the given link
brainly.com/question/11258929
#SPJ1
geometric sequence with a ratio of 2 and a first term of 1/3.
Answer:
1/3, 2/3, 4/3, 8/3, 16/3, 32/3
or
1/3, 2/3, 1 1/3, 2 2/3, 5 1/3, 10 2/3
Step-by-step explanation:
lapeer flour mills purchased new equipment and made the following expenditures: purchase price $ 64,000 sales tax 5,450 shipment of equipment 890 insurance on the equipment for the first year 590 installation of equipment 1,780
The journal entry for the following transaction will be:
Equipment A/c....Dr. 73120
Prepaid Insurance A/c....Dr. 590
Cash A/c....Cr. 3260
Accounts payable A/c....Cr. 70450
Any cost that has been incurred by the company to make an asset ready to use, is also included in its purchasing price. So, any transportation, legal, or maintenance fee is also included in the asset cost.
The total cost of the new machine = Purchase price + Sales tax + Shipment of machine + Installation of machine
Total cost of new machine = 65,000 + 5,450 + 890 + 1,780
The total cost of the new machine = $73,120
Journal entry for the same:
Equipment A/c....Dr. 73120
Prepaid Insurance A/c....Dr. 590
Cash A/c....Cr. 3260
Accounts payable A/c....Cr. 70450
Learn more about journal entries:
https://brainly.com/question/20421012
#SPJ4
to obtain a 99.7% (virtually all-encompassing) confidence interval for the true population proportion, you would add and subtract about how many standard deviations to/from the sample proportion?
We would add and subtract about three standard deviations from the sample proportion to get a 99.7% (nearly full) confidence interval for the real population proportion.
What is a confidence interval?A confidence interval is a range of estimates for an unknown quantity in frequentist statistics.
The most frequent confidence level is 95%, but other levels, such as 90% or 99%, are infrequently used for generating confidence intervals.
To obtain a 99.7% (almost complete) confidence range for the real population proportion, you would add and deduct around three standard deviations from the sample proportion.
A confidence interval is a range of values that are bound by the statistic's mean and that is likely to include an unidentified population parameter.
The proportion of probability, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn numerous times is referred to as the confidence level.
Therefore we would add and subtract about three standard deviations from the sample proportion to get a 99.7% (nearly full) confidence interval for the real population proportion.
Know more about the confidence interval here:
https://brainly.com/question/15712887
#SPJ4
Correct question:
To obtain a 99.7% (virtually all-encompassing) confidence interval for the true population proportion, you would add and subtract about __________ standard deviations to/from the sample proportion.
In a city in Ohio, the sales tax rate is 7.25% . Complete the table.
if the sales tax is 1.16 what is the price before tax and the price including the tax
Answer: $17.16
Step-by-step explanation:
To find the cost of the untaxed money, you have to divide your sales tax amount by the tax rate.
1.16÷.0725=16
Once you have your untaxed amount, you then add your sales tax to your untaxed amount,
16+1.16=17.16
A school administrator believes that the mean class GPAs for a given course are higher than the preferred mean of 2.75 at a significance level of 0.05, and checks a randomly chosen sample of 50 classes. Create a histogram, and calculate x¯, the t-statistic, and the p-value.Here is the data for the class GPAS:3.092.732.582.682.842.682.642.622.352.722.632.772.723.032.712.962.743.012.882.682.833.022.832.712.672.792.652.562.782.892.402.382.412.832.863.012.802.842.952.752.932.482.342.972.852.742.843.102.622.77The questions to answer:From the histogram, can normality be assumed? Yes/NoX =T=P=Since the P-value is (greater/less than) than the significance level of 0.05, than the null hypothesis (fails to be rejected/is rejected). (sufficient/insufficient) evidences exists that the new mean GPA is greater than 2.75
The mean GPA is greater than 2.75.
A= 4.0, A- = 3.7, B+ = 3.three, and many others. Total the first-class factors, and overall the credit hours. Divide the overall satisfactory points by means of the overall credit score hours.
Grade Point Average (GPA):Grade point average (GPA) is the measure used to summarize your instructional fulfillment at Griffith. After the e-book of final grades every trimester, your software and career.
GPA is calculated and could be utilized by the college to tell choices, which include the subsequent: educational progression.
Divide the total range of grade factors earned with the aid of the total number of letter-graded units undertaken.
Mean GPA = total / 50
= 2.75.
Learn more about Mean Grade Point Average:
https://brainly.com/question/16905011
#SPJ4
professional tennis players may constitute a(n) group for an amateur tennis player who identifies with certain players by imitating their behavior whenever possible despite the fact that the amateur tennis player does not qualify for membership as a professional tennis player because he/she has neither the skills nor the opportunity to compete professionally.
Professional tennis players may constitute a(n) symbolic group for an amateur tennis player
A symbolic group is one in which a person is unlikely to be accepted even if they act like a member by emulating their beliefs, attitudes, and behaviors. For young people, cricket players like Sachin Tendulkar, Sourav Ganguly, etc., may serve as a representative group. By concentrating on the small scale, symbolic interactionism examines the individual within a community and their relationships with others.
Similar to this, professional tennis players may serve as a symbolic group for an amateur tennis player who identifies with certain players by mimicking their behavior whenever possible, even though the amateur tennis player does not meet the criteria for membership in the category of professional tennis players because he or she does not have the necessary skills or access to the professional circuit.
Read more about the symbolic group on:
https://brainly.com/question/29038156
#SPJ4
WILL GIVE BRAINLIEST!!!!
Prove that a line that divides two sides of a triangle proportionally is parallel to the third side. Be sure to create and name the appropriate geometric figures. (10 points)
Answer:
Use the Triangle Proportionality Converse. If the ratios are equal, then the lines are parallel.
Colin loves to eat tuna salad for lunch. His mom is always looking for a bargain on 12-ounce cans of tuna. Today, his local grocery store is offering 4 cans of Sea Star tuna for $3.28 and 2 cans of Ocean's Best tuna for $1.88. Which brand is the better deal?
Answer:
Sea star tuna
Step-by-step explanation:
Help me please with my homework Find the b and r
rhambus has four equal sides
so r+l=2r-4
r=5
b-3=r+l=6
b=9
Diamond adjacent angle complementation
So (x+2x+6)=180*
3x=174
x=58
All in all r=5 b=9 x=58 4b-6r=21-4=r+l=b-3=6
2x+6=122
this is the answer thank you when you have th problem you can tell me
HELP SOLVE!
name the property if 3x= 4 and 4=z then 3 =z
The name of the property is transitive property if 3x= 4 and 4=z then 3 =z.
What is a transitive property?According to the transitive property, "if two quantities are equal to the third quantity, then we can claim that all quantities are equal to each other." The term transitive refers to the act of transferring something. If a, b, and c are three quantities and an is connected to b by some rule and b is related to c by the same rule, then a and c are related to each other by the same rule; this is known as the transitive property of equality.
The transitive property of equality states that if a = b and b = c for any values of a, b, and c, then a = c. In other words, because a and c are both equal to the same item (in this case, b), they must be equal as well.
Given,
3x=4 and 4=z then 3=z
Here a=3, b=4, c=z
The name of the property is transitive property
To know more about transitive property, visit:
https://brainly.com/question/2437149
#SPJ1
At a company meeting, there were 75 people in attendance. 68% of them were managers.
How many managers were in the meeting?
Answer:
There were 51 managers.
Step-by-step explanation:
First, turn the percentage into a decimal by moving the decimal point over twice to get 0.68. Then, set up this equation:
0.68 x 75 = 51 managers.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
what must be true for any direction if the instantaneous rate of change from (1,3,2) is equal to 0? what shape is formed by the collection of these vectors? (be as specific as you can.)
The instantaneous rate of change is the change in the rate at a particular instant and it is same as the change in derivative value at a specific point.
From the above given data, the following solution is given below:
Given:
Let f(x,y,z) = x³z - yz²
To find the partial derivatives of f
Here the directional derivative of a function f(x,y,z) is given by:
(df/dx , df/dy, df/dz)
df/dx = 3x²
df/dy = -z²
df/dz = x³ - 2yz
at points(1,3,2)
(df/dx)₍₁,₃,₂₎ = 3(1)² = 3
| (df/dx)₍₁,₃,₂₎ | = 3
(df/dy)₍₁,₃,₂₎ = -2² = 4
| (df/dy)₍₁,₃,₂₎ | = 4
(df/dz)₍₁,₃,₂₎ = 1³ - 2*3*2 = 1-12 = -11
| (df/dz)₍₁,₃,₂₎ | = 11
As we got the maximum modulus of derivative in direction of x. Since, therefore we should move into z direction to maximize the directional derivative.
(df/dz)₍₁,₃,₂₎ = -11
Hence, the instantaneous rate of change is the change in the rate at a particular instant and it is same as the change in derivative value at a specific point.
To know more about derivative check the below link:
https://brainly.com/question/28376218
#SPJ4
The instantaneous rate of change is the change in the rate at a particular instant and it is same as the change in derivative value at a specific point | (∂f/∂z)₍₁,₃,₂₎ | = 11.
What is instantaneous rate of change?
The derivative value change at a particular point is the same as the instantaneous rate of change, which is the change in rate at a specific instant. The tangent line slope and the instantaneous rate of change at a given point on a graph are the same. That is, the slope is curved.
From the given data, the solution is given below:
Given:
Let f(x, y, z) = x³z - yz²
To find the partial derivatives of f
Here the directional derivative of a function f(x, y, z) is given by:
(∂f/∂x , ∂f/∂y, ∂f/∂z)
∂f/∂x = 3x²
∂f/∂y = -z²
∂f/∂z = x³ - 2yz
at points(1,3,2)
(∂f/∂x)₍₁,₃,₂₎ = 3(1)² = 3
| (∂f/∂x)₍₁,₃,₂₎ | = 3
(∂f/∂y)₍₁,₃,₂₎ = -2² = 4
| (∂f/∂y)₍₁,₃,₂₎ | = 4
(∂f/∂z)₍₁,₃,₂₎ = 1³ - 2*3*2 = 1-12 = -11
| (∂f/∂z)₍₁,₃,₂₎ | = 11
As we got the maximum modulus of derivative in direction of z. Since, therefore we should move into z direction to maximize the directional derivative.
(∂f/∂z)₍₁,₃,₂₎ = -11
Hence, The instantaneous rate of change is the change in the rate at a particular instant and it is same as the change in derivative value at a specific point.
To know more about instantaneous rate of change, click on the link
https://brainly.com/question/24592593
#SPJ4
Complete question:
Complete question is attached below.
2x-y=1 , if x=-1 , then y=?
Answer: y=-3
Step-by-step explanation: In order to figure out what y would be in this problem, you would subtitute -1 in for x . and ask your self " What is 2* a -1? , The answer to that question would be -2 , ok. then the next step is to take the -2 and subtract by y which in case is 1 or -1 which will get you the answer of y=-3.
Hoped that helped!
Shakira went bowling with her friends. She paid $3 to rent shoes and hen $4.50 for each games of bowling. If she spent a total of $21, how many games did Shakira bowl?
Answer: She bowled 4 games
Step-by-step explanation:
21 - 3 = 18
18 ÷ 4.50 = 4
Answer:
Shakira bowled 4 games.
Step-by-step explanation:
If Shakira paid $3 for rent, we can subtract 3 from 21.
21-3=18.
Now, find out how much 4.50 can go into 18.
First, multiply 4.50 by 2.
4.50x2=9
Now, Since 2 games is $9, multiply 9 by 2.
9x2=18
Now that we found out that 9x2=18, we can see that Shakira bowled 4 games.
Hope this helps! :D
using the significance levels reported by forecast xtm, at what level can we reject a one-sided null relating to a slope coefficient's statistical significance such that we are 95% confident?
If the value of test statistic does not lie between -1.96 and +1.96 then, the difference would be significant and the null hypothesis will be rejected.
Using the significance levels as reported by forecast Xtm, we would check the difference of means between the two items.
The critical value of Z at 95% confidence level is 1.96.
Then we would calculate the Test statistic, viz, difference of means/ standard deviation.
Decision Rule:
If we find that the value of test statistic is more than the value of Z, i.e., the test statistic does not lie between -1.96 to +1.96, then, the difference would be significant and the null hypothesis must be rejected.
But, the other way round, if the difference between the two means is not significant at the 95% confidence level, then the null hypothesis should not be rejected.
To know more about null hypothesis:
https://brainly.com/question/9546890
#SPJ4
Identify the terms and like terms in the expression. 1/2s−4+3/4s+1/8−s3
HELP ME PLEASE TvT
1/2s, -4, 3/4s, 1/8 and -s³ are the terms and 1/2s and 3/4s are the like terms of the expression. 1/2s−4+3/4s+1/8−s³
What is Expression?An expression is combination of variables, numbers and operators.
Given expression is 1/2s−4+3/4s+1/8−s³
One by two times of s minus four plus three by four times of s plus one by eight minus s cube.
In the given expression minus, plus are the operators, s is the variable,
The expression has five terms
1/2s, -4, 3/4s, 1/8 and -s³ are the terms
Like terms contain the same variable which is raised to the same power.
In the given expression 1/2s and 3/4s are the like terms
Hence, 1/2s, -4, 3/4s, 1/8 and -s³ are the terms and 1/2s and 3/4s are the like terms of the expression. 1/2s−4+3/4s+1/8−s³
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ1
Of the 33 students in 10 science, 4 are boys What fraction of the class are girls?
Lets break this down.
We are given the amount of students, which is 33, and so far the amount of boys in the class, which is 4. This can easily be written as [tex]\frac{4}{33}[/tex]. Now, we have a remainder of 29 students (most likely them being girls). This means that the fraction of the class that are girls would be [tex]\frac{29}{33}[/tex].
Hope this helps!
5. Identify each of the following as convex or concave polygons:
Answer:
A) convex B) convex C) concave D) concave
Step-by-step explanation:
concave means going in on itself and convex is going outwards.
A shirt regularly is priced $42. It is on sale 15% off of the regular price. whats is the sale price of the shirt
Answer:35.70
Step-by-step explanation:
Answer:
35.7
Step-by-step explanation:
Regular priced is=. ₹42
off persent is =15%
15/100×42=6.3
42-6.3=35.7
Solve: -5/6 + m = -3 1/6
m= -4
m= -2
m= -2 1/6
m= -2 1/3
Answer: -2 1/3
Step-by-step explanation:
Okay
For each relation, indicate whether the relation is a partial order, a strict order, or neither. If the relation is a partial or strict order, indicate whether the relation is also a total order. Justify your answers.
(a)
The domain is the set of all words in the English language (as defined by, say, Webster's dictionary). Word x is related to word y if x appears before y in alphabetical order. Assume that each word appears exactly once in the dictionary.
The domain is the set of all words in the English language that has a partial order relation and not a total order relation.
Given:
The domain is the set of all words in the English language (as defined by, say, Webster's dictionary.
Assume,
The domain is the set of all words in the English language (as defined by, say, Webster's dictionary). Word x is related to word y if x appears as a substring of y. x is a substring of y if all the letters in x appear in consecutive order somewhere in y. For example, "logical" is a substring of "topological" because the letters l-o-g-i-c-a-l appear consecutively in the order of the word "topological". However, "local" is not a substring of "topological" because the letters l-o are separated from c-a-l by the letters g and i.
Now, x is related to y if x is a substring of y.
Considering the following points through the example:
(A) Clearly, x is a substring of itself. Therefore, x is related to x and hence it is called reflexive.
(B) If x is related to y or y is related to x then x =y and it is called antisymmetric.
(C) If x is related to y and y is related to û then we can say that x is related to û (i.e. if x is a substring of y and y is a substring of û then x is also inscribed in û. Hence, we called it transitive.
Hence, the order is not the total order relation. It is a partial order relation.
To learn more about partial order visit: https://brainly.com/question/22681784
#SPJ4