What is the Domain and Range of the function f(x)\(\sqrt{x-7} +9\)?
For the given function, the domain is D : { x ≥ 7} and the range is R: { y ≥ 9}
How to get the domain and range?
Here we have a square root, remember that the argument of the square root must be equal or larger than zero, so the domain is such that:
x - 7 ≥ 0.
Solving for x we get:
x ≥ 0 + 7
Then the domain is:
x ≥ 7
To get the range, we evaluate in the minimum of the domain:
f(7) = √(7 - 7) + 9 = 9
Then the range is the set of all values larger than 9, because the function is increasing.
So the range is R: y ≥ 9.
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a circle has radius 13 centimeters. suppose an arc on the circle as length 6π centimeters. what is the measure of the central angle whose radii define the arc?
Therefore, the measure of the central angle whose radii define the given arc is approximately 83.077 degrees.
The length of an arc on a circle is given by the formula:
Arc Length = (Central Angle / 360°) * Circumference
In this case, we know the arc length is 6π centimeters, and the radius of the circle is 13 centimeters. The circumference of the circle can be calculated using the formula:
Circumference = 2π * Radius
Substituting the radius value, we get:
Circumference = 2π * 13
= 26π
Now we can use the arc length formula to find the central angle:
6π = (Central Angle / 360°) * 26π
Dividing both sides of the equation by 26π:
6π / 26π = Central Angle / 360°
Simplifying:
6 / 26 = Central Angle / 360°
Cross-multiplying:
360° * 6 = 26 * Central Angle
2160° = 26 * Central Angle
Dividing both sides by 26:
2160° / 26 = Central Angle
Approximately:
Central Angle ≈ 83.077°
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Tyler made a scale drawing of a 24 ft long boat. In his drawing, the boat was 6 inches. The scale that Tyler used for his drawing was inch to feet.
Answer:
In Tyler scale, 1 inch equals 4 ft.
Step-by-step explanation:
Giving the following information:
Tyler made a scale drawing of a 24 ft longboat. In his drawing, the boat was 6 inches.
We know that 1 ft is 12 inches. Therefore, 24 ft:
24*12= 288 inches
Now, we have to determine the scale that Tyler used.
1 Tyler inch= 288/6= 48 inches
In ft:
1 Tyler inch= 48/12= 4 ft
In Tyler scale, 1 inch equals 4 ft.
What is a yearly expense you should expect to pay for your car?
✅Inspection
- Car wash
- Oil change
- Gas
Answer:
the answer is inspection
Step-by-step explanation:
Help please!
0, 7, 18, 33, 52
Write an explicit expression that can be used to find the nth term of the sequence above.What is the 18th term of the sequence?
Answer:
2n^2+n-3, 663
Step-by-step explanation:
This is the same as having (1, 0), (2, 7), (3, 18), (4, 33), (5, 52)
We know that this is a parabola because the difference of the differences is a constant:
7, 11, 15, 19
4, 4, 4
this means the nth term is an^2+bn+c
we know a = 2 because the 2a is the difference's difference of 4, 4/2 = 2
now we plug in points to find the others:
2*1^2 + b*1 + c = 0 = 2 + b + c
so b + c = -2
2*2^2 + b*2 + c = 7 = 8 + 2b + c
so 2b + c = -1
2b + c - (b + c) = -1 - - 2 = b = 1
so b = 1
b + c = -2 = 1 + c
c = -3
we put these together to get our answer
2n^2 + n - 3
for 18 this is 2 * 18^2 + 18 - 3 = 663
Answer:
2n^2+n-3, 663
Step-by-step explanation:
7.4666667 as a fraction
PLS HELP!!!!!!!!!!!
☁️ Answer ☁️
My calculator got: 74666667/10000000
Hope it helps.
Have a nice day hyung/noona!~  ̄▽ ̄❤️
Which of the following analytic techniques covered so far in class is an essential part of the weighted ranking method?
A. Pairwise Ranking
B. Eight Elements of Thought
C.Ratio Method
Answer:
A. Ratio MethodRatio Method means that ICE Futures Europe will determine and disclose the adjustment ratio if known or the equation necessary to calculate the ratio. The adjustment ratio will be rounded, using normal mathematical rounding conventions, to five decimal places.
A) Pairwise ranking is an essential part of the weighted ranking method.
Pairwise ranking is one of the analytic techniques covered so far in class that is an essential part of the weighted ranking method.
Pairwise ranking, also known as pairwise comparison, is a process for comparing different options. Each option is compared to every other option to determine which one is better.
This is done by considering two options at a time and evaluating which one is preferred over the other, and then assigning a value to each option based on how many times it was chosen over the others.
The weighted ranking method, also known as the analytic hierarchy process (AHP), is a decision-making method that involves breaking down a complex problem into smaller, more manageable pieces, prioritizing them, and then making a decision based on the priorities.
Pairwise ranking is an essential part of this process because it helps to determine the relative importance of each option and thus how much weight should be given to each option in the final decision.
Hence, Pairwise Ranking is an essential part of the weighted ranking method.
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Using the t Distribution Table, find the critical value(s) for the t test for a right-tailed test with n=8 and a =0.01. Enter the answers separated by a comma if needed. Critical value(s) - Using The Distribution Table, find the critical value(s) for the test for a left-tailed test with n=23 and a =0.05. Enter the answers separated by a comma if needed. Critical value(s)
The critical value for right tailed test is 2.998, the critical value for left tailed test is - 1.717.
How to using t distribution table?First, we must know the following data,
df = degree of freedom = n - 1
α = significance level
Next, t test have three type of test which is
Two or Both tailed test, for this test we use negative and positive value.One right tailed test, for this test we use positive value.One left tailed test, for this test we use negative value.Then, to find critical value using the t distribution table search df value in left column of table and search the α in the top row of the table (depending on the type of test, use one tail row for this case). For example, see attached image.
Thus, the right tailed test critical value is 2.998, and the left tailed test critical value is - 1.717.
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help please this should be turn in 5mijs please
can y’all help me out on this ?
Answer:
D. rectangle
Step-by-step explanation:
The slopes of 2 lines are perpendicular when they are the negative reciprocal of each other. In this case, that is true, because 3 is the negative reciprocal of -1/3 and vice versa. This means it's either a rectangle or a square.
The lengths of the lines are not all the same, meaning it cannot be a square.
Therefore, the best name for the quadrilateral MATH is rectangle.
I hope this helped.
True or False:
A cube root is when you think about what number multiplies by itself 4 times to give us that number.
Answer:
False. It's 3 times.
Step-by-step explanation:
What is the mean of this data set? If necessary, round your answer to the
nearest tenth.
20, 23, 32, 36, 41, 43, 44, 45, 47, 54, 55, 59, 61, 63, 66
Answer:
A
Step-by-step explanation:
Answer:
A. 45.9
Step-by-step explanation:
the sum of the data values(numbers), divided by the number of data values (in your case 15)
What do the parts of a spreadsheet of 48 is represent?
Therefore, the expression's 48th component is the cost per scarf.
Expression: What is it?A mathematical expression is a sentence that has at least two variables or integers and one mathematical action. In mathematics, it is possible to multiply, divide, add, or remove. An expression's structure is (Mathematical Operator, Number or Variable, Expression).
Here,
In the following expression, 483 denotes the total number of scarves, and 48 is the cost per scarf. For each scarf order, customers are charged a $4.75 delivery fee:
The 48 denotes the price per scarf, as can be seen from the supplied.
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Solve for x in this inequality. Show all your work and
graph your solution.
4(x-3)<2x-4
Answer:
x<4
Step-by-step explanation:
To solve for x in the inequality equation, the terms should be rearranged such that x is on one side and integers are on the other side.
First, expand 4(x-3).
This will obtain:
\(4x - 12 < 2x - 4\)
Now, shift x terms and integers on each side.
\(4x - 2x < - 4 + 12\)
After simplifying, it will get:
\(2x < 8\)
Finally, we can solve for x.
\(x < 4\)
We can also draw the respective graph (please don't mind my drawings), where the area shaded in green is the range.
TEMPERATURE The temperature on a thermometer dropped from a reading of 25°to -8°. Find the midpoint of these temperatures.
Answer:
8.5°
Step-by-step explanation:
25 + (-8)
=25 - 8
=17 ÷ 2
= 8.5°
Kyle is planning for college at Texas Tech University. Tuition is $9500 per semester. His parents plan on paying 75% of his first full year of college. How much money does Kyle need to save each month for 3 years to pay for school?
Consider the arithmetic sequence an = 5 + 3 (n − 1)
a. What are the first 5 terms of the sequence?
b. What is the 9th term in the sequence?
c. Rewrite the explicit formula as a function.
d. What is f(15)?
e. f(n) = 65 what is n?
The answers to the subparts of the arithmetic sequence are shown:
(A) a₅ = 17(B) a₉ = 28What is an arithmetic sequence?A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms. An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15.So, the formula is: aₙ = 5 + 3 (n − 1)
Where n is the number of terms.So, 5th term or n = 5:
a₅ = 5 + 3 (n − 1)a₅ = 5 + 3 (5 − 1)a₅ = 5 + 3 (4)a₅ = 5 + 12a₅ = 17Similarly, the 9th term or n = 9:
a₉ = 5 + 3 (n − 1)a₉ = 5 + 3 (9 − 1)a₉ = 5 + 3 (8)a₉ = 5 + 24a₉ = 28Therefore, the answers to the subparts of the arithmetic sequence are shown:
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The correct question is given below:
Consider the arithmetic sequence an = 5 + 3 (n − 1)
a. What are the first 5 terms of the sequence?
b. What is the 9th term in the sequence?
What is the velocity vector for a moving particle with a position vector \(r(t)=(t,e^t)\)?
\((1,e^t)\)
(t, ln(t))
(t^2)/2, e^t
(2, e^t)
Thanks!!
Answer:
(1, eᵗ)
Step-by-step explanation:
r(t) = (t, eᵗ)
v(t) = dr/dt
v(t) = (1, eᵗ)
At the start of 2014 Mikes car was worth £12000. the value of his car decreased 30% every year.
work out the value of the car at the start of 2017
How many solutions are there to the equation below?
6x + 35 + 9x = 15(x + 4) - 25
A. O
B. Infinitely many
C. 1
Answer:
Đáp án B
Step-by-step explanat
B1:X ét VT=15x +35(1)
B2Xét VP thấy 15x +35 (2)
B3 KL
Can yall help me with this
Answer:
3
Step-by-step explanation:
6) Recently, one U.S. dollar was worth about 0.6158 British pounds. How much would
a car have cost in U.S. dollars that cost 8930 British pounds?
The cost of the car in U.S. dollars comes out to approximately 14,498.37 USD.
To find the cost of the car in U.S. dollars, you need to divide the cost in British pounds by the conversion rate.
The car costs 8,930 British pounds, and the conversion rate is 1 U.S. dollar = 0.6158 British pounds. So, to find the cost in U.S. dollars, you would use the following formula:
Cost in USD = (Cost in British Pounds) / (Conversion Rate)
Cost in USD = (8,930) / (0.6158)
When you perform the calculation, the cost of the car in U.S. dollars comes out to approximately 14,498.37 USD.
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HELPPPP‼️‼️‼️
If x is the first of two consecutive odd integers, and the sum of the two integers is 72, what is the smaller of the two integers?
Answer:
x = 35.
Step-by-step explanation:
since they are odd, the second number isn't x + 1, it is x + 2.
x + x + 2 = 72
2x + 2 = 72
2x = 70
x = 35
Not sure what the answer is. Need help.
A collection of paired data consists of the number of years that students have studied Spanish and their scores on a Spanish language proficiency test. A computer program was used to obtain the least squares linear regression line and the computer output is shown below. Along with the paired sample data, the program was also given an x value of 2 (years of study) to be used for predicting test score.
Equation: y = mx + b
Statistics:
r2 = 0.83
r = 0.91
Parameters:
m = 10.90
b = 31.55
Answer the following questions based on the information given above.
Use the information in the display to find the value of the linear correlation coefficient r. Determine whether there is significant linear correlation between years of study and test scores. Use a significance level of 0.05. There are 10 pairs of data.
A. r = 0.91; There is significant linear correlation.
B. r = 0.83; There is significant linear correlation.
C. r = 0.91; There is no significant linear correlation
D. r = 0.83; There is no significant linear correlation.
A collection of paired data consists of the number of years that students have studied Spanish and their scores on a Spanish language proficiency test. r = 0.91; There is a significant linear correlation. Option A
What is linear correlation coefficient r.?
Generally, The value of the linear correlation coefficient r is given in the display as 0.91. To determine whether there is significant linear correlation between years of study and test scores, we need to conduct a hypothesis test.
The null hypothesis for this test is that there is no linear correlation between years of study and test scores, and the alternative hypothesis is that there is linear correlation.
To test the null hypothesis, we can use the value of r and the sample size (10 pairs of data) to calculate a p-value. If the p-value is less than our significance level of 0.05, we can reject the null hypothesis and conclude that there is significant linear correlation between the variables.
Since r is given as 0.91 and the sample size is 10, we can conclude that there is significant linear correlation between years of study and test scores.
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Write a number sentence and solve: Jana has $45 in her bank account. After she went shopping, she had -$12. How much did she spend shopping?
Answer:
57 dollar
Step-by-step explanation:
If we know that two angles of one triangle are 112 ° and 39 °, and two angles of another triangle are 39 ° and 29 °, then the two triangles must _____. Select one:a.be equilateralb.be right trianglesc.not be similard.be similar
Solution
Firstly, we will find the third angles of both triangles,
The sum of angles in a triangle is 180 degrees.
If we know that two angles of one triangle are 112° and 39°
Let the third angle be x
\(\begin{gathered} 112\degree+39\degree+x=180\degree \\ x=180\degree-151\degree=29\degree \\ x=29\degree \end{gathered}\)The third angle is 29 degrees
And two angles of another triangle are 39° and 29°
Let the third angle be y
\(\begin{gathered} 39\degree+29\degree+y=180\degree \\ y=180\degree-68\degree=112\degree \\ y=112\degree \end{gathered}\)The third angle is 112 degrees
Two triangles are similar if their corresponding angles are equal.
Since, their corresponding angles are equal
Hence, then the two triangles must be similar (option d)
Marshall spins a prize wheel with 4 segments of equal size, one of which is labeled "winner. "
Let X = the number of spins until Marshall wins a prize.
What is the probability that Marshall wins a prize on his 2nd spin?
Recall: P(X = k) = (1 – p)k–1p
Round to 4 decimal places
The probability that Marshall wins a prize on his second spin = 0.1875
Consider an event X = the number of spins until Marshall wins a prize.
Given that a prize wheel with 4 segments of equal size, one of which is labeled winner.
So, the sample space n = 4
For given event x, the possible outcomes = 1
Using the formula of probability,
p = x/n
p = 1/4
p = 0.25
So, the probability of success p = 0.25
q = 1 - p
q = 1 - 0.25
q = 0.75
To find the probability that Marshall wins a prize on his 2nd spin.
Using formula, \(P(X = k) = (1 - p)^{k-1}p\)
For k = 2,
\(P(X = 2) = (1 - 0.25)^{2-1}\times 0.25\)
P(X = 2) = 0.75 × 0.25
P(X = 2) = 0.1875
Thus, the required probability is 0.1875
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perimeter of a sector
Answer:
The formula for the perimeter of the sector of a circle is given below :
Step-by-step explanation:
Perimeter of sector = radius + radius + arc length
Perimeter of sector = 2 radius + arc length
Arc length is calculated using the relation :
Arc length = l = (θ/360) × 2πr
Therefore,
Perimeter of a Sector = 2 Radius + ((θ/360) × 2πr )
Answer:
27.89 cm
Step-by-step explanation:
The formula to find the perimeter of a sector is:
\(P = \frac{\theta}{360} *2\pi r+2r\)
Here,
r ⇒ radius ⇒ 4 cm
Θ ⇒ angle ⇒ 285°
Let us solve it now.
\(P = \frac{\theta}{360} *2\pi r+2r\\\\P = \frac{285}{360} *2*\pi*4 +2*4\\\\P = \frac{285 *2*\pi*4}{360} +2*4\\\\P = \frac{7162.83}{360} +8\\\\P=19.89+8\\\\P=27.89cm\)
Point E is on line segment DF. Given DE=9 and DF=11, determine the length EF.
Answer:
EF = 2 units
Step-by-step explanation:
Given:
Line segment DF and point E on it.
DF = 11 unit
DE = 9 Unit
Find:
EF
Computation:
We know that,
DF = DE + EF
11 = 9 + EF
EF = 11-9
EF = 2 units
(PLEASE HELP 50 POINTS) At a dog show, the entries included Welsh corgis and cocker spaniels. The table compares the weights within this sample of dogs.
Answer the questions to compare the weights of the dog breeds and determine which breed of dog had the heaviest entry.
1. What is the median weight of the Welsh corgis? What does the median tell you about their weights?
Write your answer in the space below.
2. Which type of dog has the greater variation in weights? Justify your answer.
Write your answer in the space below.
3. Do you think the heaviest dog in the show was a Welsh corgi or a cocker spaniel? Explain how you made your choice.
Write your answer in the space below.
Answer:
1. 27
Im not sure about 2 but i think its welsh corgis
3. (Im also not sure about this one, so dont take my word for it if my answer doesnt seem right) I think the heaviest dog is the welsh corgi bc i added all the weights together for the welsh corgis.
Step-by-step explanation:
According to the table the median of Welsh Corgi is 27.3kg whereas the Welsh Corgi has the maximum variation in weights.
What is the median?The median is the center most value of the data.
What is mean absolute deviation?It is the distance of value from the average mean.
How to answer?1) When we see table we can easily find that the median of Welsh Corgi is 27.3 kg and median tells us about the center level of all the weights.
2)Welsh Corgi has the greater variation in weights because its range is higher than Cocker Spaniel.
3) No, because average weight of both the type of dogs is equal.
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