Answers
Answer:
Range is [tex]-5 \le y \le 5[/tex]
Range in interval notation is [-5, 5]
==========================================================
Explanation:
Refer to the diagram below. As marked in red, the smallest y value is y = -5. The largest y value is y = 5. The range is the set of y values between these endpoints, including both endpoints.
We can say the range is [tex]-5 \le y \le 5[/tex]
In interval notation, we write that as [-5, 5]. The use of square brackets tells the reader that the endpoints are included as part of the range.
Related Questions
Proper angle for a ladder is about 75° from the ground. Suppose you have a 10 foot ladder. How far from the house should you place the base of the latter? Round to the nearest hundredth
Answers
Answer:
The base of the ladder is 2.58 m.
Step-by-step explanation:
Given that,
The angle of elevation for a ladder from the ground is 75°.
The length of a ladder, H = 10 foot
We need to find the distance from the house should you place the base of the latter. Let the base of the ladder is b. Using trigonometry,
[tex]\cos\theta=\dfrac{B}{H}\\\\B=H\times \cos\theta\\\\B=10\times \cos(75)\\\\B=2.58\ m[/tex]
So, the base of the ladder is 2.58 m.
i don’t need any work for it i just need the answer
Answers
A model of a house is created by putting a square pyramid on a cube. The resulting figure has a surface area of 165 square inches 5 in. What is the height of one of the triangular faces? O 2 inches O 4 inches O 5 inches O 6 inches
Answers
Answer:
Is 4 inches or B
Step-by-step explanation:
I can't really break it down but I did get it right on Edge 2021.
I need the coordinates like ASAP
Answers
Determine the independent and dependent variable from the following equations:
1. y = 3x - 5
2. 9 = -16s + 6
3. p= 7+39
4. m = 2 - 4n
Answers
Answer:123 because 1 is before 2
Answer:
I don't know what I have already asked for record
solve the following equation 1÷x=2
Answers
Answer:
Your answer would be x = 1/2
Step-by-step explanation:
1/x = 2
You would divide x on both sides...then they would cancel each other out.
But now you're left with...
1 = x•2
So, re-order the terms so constants are on the left
1 = 2x
Divide 2 on both sides...
Now you're left with
1/2=x or more practically it would be x = 1/2
Hope this helps!
Just wanted to make sure I got the right answer
Answers
Answer:
D
Step-by-step explanation:
Consider the two rules for numerical patterns given below.
Pattern A: Start at 0, add 4
Pattern B: Start with O, add 12
Which statement describes the relationship between the corresponding terms of
the two patterns?
A Each term of Pattern B is three times the corresponding term of Pattern A.
B Each term of Pattern A is three times the corresponding term of Pattern B.
с Each term of Pattern A is 12 more than the corresponding term of Pattern B.
D Each term of Pattern B is 8 more than the corresponding term of Pattern A.
Answers
Answer:
The answer is A there you go the other person tricked you he just said easy so he can have enough words to get the points next time do not be fooled :)
A plot of land is 5,824 square feet. It is divided into 4 equal sections.
Answers
Answer:
1456!!!!!!!!!!!!!!!
Step-by-step explanation:
5824 ÷ 4 = 1456
Answer: 1,456!
Step-by-step explanation: divide 5,824 ÷ 4 = 1456
There are 12 paintings at an art show. Three of them are chosen randomly to
display in the gallery window. The order in which they are chosen does not
matter. How many ways are there to choose the paintings?
Answers
Answer:
220
Step-by-step explanation: a p e x
There are 220 ways to choose the paintings.
What is combination in mathematics?"Combination determines the number of possible arrangements in a collection of items where the order of the selection does not matter."
Formula for combination:[tex]^{n}C_r=\frac{n!}{r!(n-r)!}[/tex]
For given example,
There are 12 paintings at an art show.
⇒ n = 12
Three of them are chosen randomly to display in the gallery window.
⇒ r = 3
So, using the formula for combination, the number of possible ways to choose the paintings would be,
[tex]\Rightarrow~ ^{n}C_r=\frac{n!}{r!(n-r)!}\\\\\Rightarrow~ ^{12}C_3=\frac{12!}{3!(12-3)!}\\\\\Rightarrow~ ^{12}C_3=\frac{12!}{3!\times 9!}\\\\\Rightarrow~^{12}C_3=220[/tex]
Therefore, there are 220 ways to choose the paintings.
Learn more about combination here:
https://brainly.com/question/13387529
#SPJ2
find the number of terms in the series for the series given below.
Answers
Part A: explain why x coordinates of the points where the graphs of the equations y=4^x and y=2^(x-1) intersect are the solutions of the equation 4^x=2^(x-1). Part B: Make tables to find the solution to 4^x=2^(x-1). Take the integer values of x between -4 and 4. Part C: How can you solve the equation 4^x=2^(x-1) graphically?
Answers
9514 1404 393
Explanation:
A. The given equation will have a solution when the value of x makes the left-side expression equal to the right-side expression.
The value of the left-side expression for a given value of x is the y-value of y=4^x. The value of the right-side expression for a given value of x is the y-value of y=2^(x-1). The left-side expression will be equal to the right-side expression for a given value of x when the graph of y=4^x and the graph of y=2^(x-1) have the same y-value. That is, the graphs will be of the same point for that x-value. That is what we mean when we say the curves will intersect at that point.
The x-coordinate of the point of intersection is the value that makes the expressions equal, hence it is the solution to the equation.
__
B. The tables are included in the first attachment. We have used f(x) to represent the left-side expression, and g(x) to represent the right-side expression.
__
C. As described in Part A, the graphs will cross at the solution point. Hence the equation can be solved graphically by graphing the left-side expression and the right-side expression and seeing where the graphs cross. (That is at the point (-1, 0.25) on the attached graph.)
Alternate graphical method
The solution can also be found graphically by graphing the difference of the expressions: y = 4^x -2^(x-1). This difference will be zero at the value of x that makes the two expressions equal. That is, the x-intercept of the graph of this difference will be the solution value. The second attachment shows this sort of graphical solution. (It works nicely because many graphing calculators will display the value of the x-intercept.)
Can anyone give me some advices for my sis cause she is going to high school soon and I'm worried- even tho she is older then me, she is Autism and ofc I'm worried-
Answers
Don't worry I'm sure there'll be great people that would love to be friends with her!, you can also try to call everyday after she finishes her classes^^
Step-by-step explanation:
Advice;
Talk to her, let her know of the things she could be facing, yes we can give her as much advice as needed but it won't stop her from facing other rude teenagers.If she has a temper you guys should come up w coping mechanisms to use during school when she'll be alone. It's good practice to growing up.Ask for a tour around the school, it'll help her be more aware of her surroundings when she starts to attend.If she's nervous about entering a whole different nd new place it's fine, assure her it's going to be okay it'll just be a little adjustment.Advice for you; ( I know it wasn't asked of )
Calm down. Don't stress, I mean I know you're gonna, she's your sister but worrying about her is just gonna be a whole other problem you don't need. She's fine, she'll be fine, you don't want her to see you worry nd make her feel the same way, right?Alright, hope this was helpful! Need a little more insight? Feel free to ask.
Ben deposited $6,500 in a simple interest account that pays 2.8% interest annually. If Ben leaves the money in the account for 12 years, how much interest will he earn?
Answers
Answer: $2184
Step-by-step explanation:
(6800)(0.028)(12) = 2184
Find the value of x that makes the equation true
Answers
Answer:
9
Step-by-step explanation:
12/9=1.33 repeating and 8/6=1.33 repeating
Answer: x = 9
Have a great day.
I need some help!! I will try to give brainliest!!!
Answers
Answer:
x = 35
y = 95
Step-by-step explanation:
(For y) The measure of a line is 180 degress. 180 - 95 - 50 = 35.
(For x) The measure of a triangle is 180 degress. 180 - 50 - 35 = 95.
Answer:
x = 85, y = 45
Step-by-step explanation:
solving for x:
180 - 95 = 85
solving for y:
85 + 50 = 135
180 - 135 = 45
Good luck on your schoolwork
HELP ASAP BOX AND WHISKEE PLOTS! WILL MARK BRAINLIEST!
Answers
Answer:
True
Step-by-step explanation:
help me find the answer
100 point if u help
Answers
Answer:
maybe it is 3600 m not sure though
Mika is a local farmer who is interested in how often residents in her town go to a farmer's market each month. She surveys 124 families and finds that, on average, those families visit a farmers' market 4.2 times per month with a sample standard deviation of 1.3. If Mika wants to be 99% confident (z=2.58) using this sample, what should her margin of error be and what does it mean?
Answers
Answer:
The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.
Step-by-step explanation:
Margin of error
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
Standard deviation of 1.3
This means that [tex]\sigma = 1.3[/tex]
She surveys 124 families
This means that [tex]n = 124[/tex]
Margin of error and meaning:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 2.58\frac{1.3}{\sqrt{124}}[/tex]
[tex]M = 0.3012[/tex]
The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.
HELP WILL GIFT 30 EXTRA POINTS IF SOLVE ANSWER ALL QUESTIONS PLEASE!!!
Answers
Answer:
Question 1: The amount of students that Yolanda kept track of doesn't add up to her sample space.
Question 2: The sample space is 237. I know this because it said in the question she was asking all of the students at their Middle School which happened to be 237. A sample space is the group that you are taking information from. They are taking information from 237 students.
James used 30% of his savings to buy video games. If he had $60 dollars saved. How much does he have left
Answers
Answer: $42 left
Step-by-step explanation:
30% of 60 = 18 60-18 leaves $42
HELP ME PLEASEEEEEEEEEEE
Answers
Answer:
The correct answer is 6
Step-by-step explanation:
42 = 7r
R = 42/7 = 6
Answer:
r=6
Step-by-step explanation:
Divide both sides of the equation by the same term
simplify
! + 3 − 5 = 0; by completing the square
Answers
Answer:
x = 1.19258 and x = −4.19258
Step-by-step explanation:
The given equation is :
[tex]x^2+3x-5=0[/tex]
Keep x terms on the left and move the constant to the right side by adding it on both sides.
[tex]x^2+3x=5[/tex]
Take half of the x term and square it.
[tex](3\times \dfrac{1}{2})^2=\dfrac{9}{4}[/tex]
then add the result to both sides
[tex]x^2+3x+\dfrac{9}{4}=5+\dfrac{9}{4}\\\\(x+\dfrac{3}{2})^2=\dfrac{29}{4}\\\\(x+\dfrac{3}{2})=\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}+\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}-\sqrt{\dfrac{29}{4}}[/tex]
So,
x = 1.19258 and x = −4.19258
Hence, this is the required solution.
Construct a histogram for the following data set: 11, 17, 13, 2, 22, 18, 16, 14, 16, 21, 17, 9, 9, 7, 3
Answers
One dice and one coin are tossed. What is probability that you will see HEAD on coin and dice will show a number
more than 4. Answer should be in reduced fraction format.
Answers
Answer:
1/6
Step-by-step explanation:
1/2 multiplied by 1/3
What is the perimeter of this shape? Use numbers only.
Answers
Answer:
30 m
Step-by-step explanation:
You simply add the lengths of all the sides. 3 m is not needed for this.
Answer:
10+5+4+6+5 = 30m
Step-by-step explanation:
Divide. Write your answer in the following form:
F(x)= Q + R/D
PLEASE HELP!!!!!!!
Answers
Answer:
are those synthetic division?
1. For a one-tailed test (lower tail) at 93.7% confidence, Z =
2. For a one-tailed test (upper tail), a sample size of 24 at 90% confidence, t =
3. In a one-tailed hypothesis test (lower tail=left tailed test) and where the population standard deviation is known, the test statistic is determined to be -2.5. What is the p-value for this test?
Answers
Answer:
1) Z = -1.8592
2) t = 1.7139
3) p = 0.0062
Step-by-step explanation:
1) Area: (93.7+100)/2 = 193.7/2 = 96.85
Z = invNorm(0.9685,0,1) = 1.8592, but since the test is one-tailed at the lower tail, Z is actually -1.8592
2) Area: (90+100)/2 = 190/2= 95 where df=n-1=24-1=23
t = invT(0.95,23) = 1.7139
3) Since the population standard deviation is known, our test statistic is z=-2.5, making the p-value for the test p=normalcdf(-1e99,-2.5,0,1) = 0.0062
Convert:
2 tons 15,000 ounces =
ounces
Answers
explanation 1 ton is 32,000 ounces and you have 2 so you would have 64,000 and you add the extra 15,000 to get 79,000
It takes Gloria 3 hours to rake the leaves in her yard. If Gloria rakes the leaves 4 times each
fall for 5 years, how many hours will she rake leaves over the five year period?
A 60 hours
CB 75 hours
C 120 hours
D 160 hours