The sets J and I are given below.
J=(-2, 3, 4, 5, 6, 8)
I=(-2, 0, 4, 8)
Find the union of J and I. Find the intersection of J and I. Write your answers using set notation (in roster form).
Answers
The intersection is the set of all elements in both sets, so the answer is {-2, 4, 8}.
The union is the set of all elements in at least one of the sets, so the answer is {-2, 0, 3, 4, 5, 6, 8}.
Related Questions
find the area of the sector. be sure to show all your work.
Answers
To calculate the area of the sector you have to use the following formula:
\(A_{\text{sector}}=\frac{\theta}{360º}\cdot\pi r^2\)Where θ represents the measure of the central angle of the sector.
The measure of the central angle is equal to the measure of the intercepted arc, so that θ=80º
So you calculate the area of the sector as follows:
\(\begin{gathered} A_{\text{sector}}=\frac{80}{360}\cdot\pi(4^2) \\ A_{\text{sector}}=\frac{32}{9}\pi\approx11.17 \end{gathered}\)ILL GIVE BRAINLEST TO WHO EVER ANSWERS FIRST CORRECTLY I NEED THE ANSWER ASAP
Answers
Answer:
x = {2, 5 , -2}
Step-by-step explanation:
See photo for explanation:
An artist's canvas has sides measuring 3x + 5 and 2x + 1 inches.
What is the area of the canvas? Show all work.
The artist laid the canvas flat on the floor and poured some paint in the center. The paint flows at a rate of r(t) = 2t where t represents time in minutes and r represents how far the paint is spreading on the canvas. The area of the paint can be expressed as A[r(t)]= rur?. What is the area of the circle created by the paint?
If the artist wants the circle to be at least 300 in?, will it be that large in 5 minutes? Support your answer with your work.
Answers
The area of the circle created by the paint is given by the expression 4πt².
The area of the circle is 100π, which is approximately 314.16 in².
The circle will be at least 300 in² in 5 minutes. Yes.
To find the area of the canvas, we multiply the lengths of its sides:
Area = (3x + 5) × (2x + 1)
Expanding the expression:
Area = 6x² + 3x + 10x + 5
Combining like terms:
Area = 6x² + 13x + 5
The area of the canvas is given by the expression 6x² + 13x + 5.
Now, let's find the area of the circle created by the paint.
The area of a circle is given by the formula A = πr², where r represents the radius.
The radius is given by the spreading of paint, which is r(t) = 2t.
Substituting the value of r(t) into the formula, we have:
A[r(t)] = π(2t)²
Simplifying:
A[r(t)] = π(4t²)
A[r(t)] = 4πt²
Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.
Substitute t = 5 into the area formula:
A[r(5)] = 4π(5)²
A[r(5)] = 4π(25)
A[r(5)] = 100π
Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.
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Using the scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree. 3/1
Answers
Given:
The ratio is \(\dfrac{3}{1}\).
To find:
Inverse tangent of the given ratio.
Solution:
We know that,
Inverse tangent of the ratio \(\dfrac{3}{1}\) = \(\tan^{-1}\dfrac{3}{1}\)
= \(\tan^{-1}3\)
Using scientific or graphing calculator, we get
Inverse tangent of the ratio \(\dfrac{3}{1}\) = \(71.565^\circ\)
Round to the nearest degree
Inverse tangent of the ratio \(\dfrac{3}{1}\approx 72^\circ\)
Therefore, the correct option is C.
Black Diamond Ski Resort charges $50 for ski rental and $15 an hour to ski. Bunny Hill Ski Resort charges $75 for ski rental and $10 an hour to ski. Create an equation to determine at what point the cost of both ski slopes is the same. 15x − 75 = 10x − 50 15x − 50 = 10x − 75 15x + 50 = 10x + 75 15x + 75 = 10x + 50
Answers
Answer:
The cost of 5 hours of skiing would be the same ($125) after 5 hours.
Step-by-step explanation:
Black Diamond: ChargeBD(h) = $50 + ($15/hr)h, where h is the number of hours spent skiing.
Bunny Hill: ChargeBH(h) = $75 + ($10/hr)h
We equate these two formulas to determine when the cost of using the ski slopes is the same:
ChargeBD(h) = $50 + ($15/hr)h = ChargeBH(h) = $75 + ($10/hr)h
We must now solve for h, the number of hours spent skiing:
50 + 15h = 75 + 10h
Grouping like terms, we obtain:
5h = 25, and so h = 5 hours.
The cost of 5 hours of skiing would be the same ($125) after 5 hours.
The graph of the function rule that models the volume of the sphere has symmetry with respect to ____?
Answers
The correct option D: the origin, has the symmetry of the volume of sphere for the graph of the function rule.
Explain the term symmetry along origin?About the Origin: Symmetry. If a point appears on a graph at every time, then the graph is symmetric having respect to the origin. When seen in relation to the origin, this graph is symmetric.A function having a single term which is the sum of a real number, the coefficient, as well as a variable raised to something like a fixed real number is called a power function. (A coefficient is a number which multiplies a variable by an exponent.) Think of equations like area or volume as an illustration.For the stated question.
The volume of the sphere is modeled by the power function with respect to the radius as;
V = f(r) = 4/3πr³
As, r is independent of any of the coordinate axis.
Thus, the function rule's graph, which describes the volume of the sphere, is symmetric with regard to the origin.
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Willa graphed a system of equations on the same coordinate grid. The equations had the same slope, but the y-intercepts were different. Which must be true?
Answers
Answer:
The graphs are perpendicular
Step-by-step explanation:
Same slope different y-int = perpendicular
Picture at the top to help with solving the answer.
Answers
Answer: B and D
Step-by-step explanation:
I see you picked the first one which is close but not right. This isn't right because you are adding the area of both rectangles together and in the first choice the + 7 should be 7y because y is the height which is why the 4th choice is correct and the second choice if you distribute you get 5y + 7y which is the same so that would be right as well.
Answer:
answer of this question is b
Determine the number of x-intercepts that appear on a graph of each function.
f(x) = (x + 1)(x - 3)(x - 4)
Answers
Answer:
Answer is in the attachment.
Answer: 3
Step-by-step explanation:
Find the open intervals on which the function is increasing, decreasing, or constant
Answers
Answer:
The graph of the given function is increasing in the interval, 2 to 5
The graph of the given function is decreasing in the interval, -2 to 2
The graph of the given function is constant in the interval, 2, it is constant at only one point
Write an equation of the line that passes through the point (–1, 4) with slope 2. A. y+1=−2(x−4) B. y+1=2(x−4) C. y−4=2(x+1) D. y−4=−2(x+1) CHOSE ONE!
Answers
Answer:
\(y-4=2\,(x+1)\)
which agrees with answer C in your list of possible answers.
Step-by-step explanation:
We can use the general point-slope form of a line of slope m and going through the point \((x_0, y_0)\):
\(y-y_0=m(x-x_0)\)
which in our case, given the info on the slope (2) and the point (-1, 4) becomes:
\(y-y_0=m\,(x-x_0)\\y-4=2\,(x-(-1))\\y-4=2\,(x+1)\)
The histogram below gives the distribution of test scores for a sample of
students in a school in Alaska. Approximately how many students received a
score between 70.5 and 80?
Answers
Answer:
B. 200 students
Step-by-step explanation:
The number of country A forces in country B decreased to approximately 34,000 in 2014 from a high of about 100,000 in 2008. The amount of country A funding for country B security forces also decreased during this period. The function f (x) = -1.330x + 5.149x +5.517 can be used to estimate the amount of country A funding for country B security forces, in billions of dollars, x years after January 2007. In what year was the amount of country A funding for country B security forces about $ 10.5 billion?
Answers
Answer:
2009
Step-by-step explanation:
The question can be interpreted as:
\(f(x) = -1.330x^2 + 5.149x + 5.517\)
Required
Determine x when f(x) = 10.5
Substitute 10.5 for f(x) in \(f(x) = -1.330x^2 + 5.149x + 5.517\)
\(10.5 = -1.330x^2 + 5.149x + 5.517\)
Collect Like Terms
\(-1.330x^2 + 5.149x + 5.517-10.5=0\)
\(-1.330x^2 + 5.149x -4.983=0\)
Using quadratic formula
\(x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}\)
Where
\(a = -1.330\)
\(b = 5.149\)
\(c = -4.983\)
\(x = \frac{-5.149 \± \sqrt{5.149^2 - 4*-1.330*-4.983}}{2*-1.330}\)
\(x = \frac{-5.149 \± \sqrt{0.002641}}{-2.660}\)
\(x = \frac{-5.149 \± 0.0514}{-2.660}\)
Split:
\(x = \frac{-5.149 + 0.0514}{-2.660}\ or\ x = \frac{-5.149 - 0.0514}{-2.660}\)
\(x = \frac{-5.0976}{-2.660}\ or\ x = \frac{-5.2004}{-2.660}\)
\(x = 1.92\ or\ x = 1.96\)
Both values of x approximates to 2.
So:
\(x = 2\)
2 years after 2007 is 2009.
Hence, the funding is about $10.5 billion in 2009
Answer this with explanation please
Answers
The measure of angle MTU m∠MTU is 114 degree.
What is the measure of angle MTU?From the figure in the diagram:
Measure of angle STU is 145 degrees and measure of angle STM is 31 degree.
m∠STU = 145°m∠STM = 31°m∠MTU = ?Since, angle STU composes or is the sum of angle STM and angle MTU.
To find angle MTU, simply subract angle STM from angle STU.
m∠STU = m∠STM + m∠MTU
Hence:
m∠MTU = m∠STU - m∠STM
Plug in the given values and simplify
m∠MTU = 145° - 31°
Subtract 31 from 145
m∠MTU = 114°
Therefore, angle MTU measure 114°.
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Which of the following is a process that changes the composition of rocks from one material to another? Science-
Answers
Answer: crystallization, metamorphism, and erosion
Step-by-step explanation: Hope this helps!!!
Challenger Elementary School has 800 students. Every
Wednesday, 12% of the students stay after school for
Chess Club.
How many students attend Chess Club on Wednesdays?
Answers
Answer:
96 students attend Chess club
Step-by-step explanation:
800x.12=96
Answer:
96 students.
Step-by-step explanation:
x=800/12%
Convert the percentage to a decimal.
12%/100=0.12
Multiply the decimal by the total number.
0.12x800=96
Hope this helps :)
A bowl contains an apple, a plum, a pear, and a banana. How many different pairs of fruit can be selected from the bowl
Answers
Based on the information given about the combination, the number of different parts of fruits that can be selected from the bowl will be 6.
Solving the combination.Since the bowl contains an apple, a plum, a pear, and a banana, the different pairs of fruit that can be selected from the bowl will be 4C2.
We can solve this further which will be:
= 4C2
= 4! /2! (4 - 2)!
= 4! / 2!2!
= (4 × 3 × 2)/ 2 × 2
= 24/4
= 6
Therefore, 6 different pairs of fruit can be selected.
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5/6 /1/3=what does that equal
Answers
Answer:
5/2 or 2 1/2
Step-by-step explanation:
If x+3/3 = y+2/2, then x/3 =
Answers
Answer:
y/2
Step-by-step explanation:
x/3 + 3/3 = y/2 + 2/2
x/3 + 1 = y/2 + 1
x/3 = y/2
At a snack stand, a medium soda costs $1.29, a cheeseburger costs $3.29, and an order of curly fries costs $2.49. Manuel is going to buy this meal for 9 different people. What is the total amount it will cost him?
Answers
Answer:
$63.63
Step-by-step explanation:
(1.29+3.29+2.49)•9
7.07•9=63.63
Recipe ingridients remain in a constant ratio no matter how many servings are prepared. Which table shows a possible ratio table for ingridients X and Y for the giving number of servings?
Answers
X: 4. 8. 12. 16. 20.
Y: 5. 10. 15. 20. 25.
brainliest to correct quickly
Answers
Goodluck!!
What is the volume of this cone? Use 3.14 for π and round your answer to the nearest tenth.
In your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it.
Answers
Answer:
volume = 33.5 in³
Step-by-step explanation:
Formula:
\(\sf volume \ of \ a \ cone=\dfrac13\pi r^2h\)
Given:
r = 2 inh = 8 inπ = 3.14Substituting the given values into the formula:
\(\sf \implies volume=\dfrac13 \times 3.14 \times 2^2 \times 8\)
\(=\dfrac13 \times 3.14 \times 4 \times 8\)
\(\sf =33.49333333...\)
\(\sf =33.5 \ in^3 \ (nearest \ tenth)\)
y = 4/5x - 5
y = -5/4x - 5
y = -4/5x - 5
y = 4/5x + 5
Answers
Answer:
The answer is the 3rd one.
Thank you to who it is that helps me!
Answers
Answer:
B
D
D
Step-by-step explanation:
please verify and rate 5 stars and say thank you
On Friday, 0.325 of the students in
Keisha's math class were absent. What
percent of the students were absent?
Look at picture for choices!! Quick!!
Answers
7. Alexis has 145 stickers. She wants to divide the stickers evenly among 5 of her friends. How
many stickers will each friend get?
Write your answer in the box.
stickers.
8. There are 2,472 seats in the school auditorium. The seats are divided into 6 equal sections.
How many seats are in each section? Write your answer in the box.
seats
Explain how you found your answer. Show your work.
Answers
Answer: 7: 29 stickers for each friend
8: 412 seats in each section
Step-by-step explanation:
We will have to divide 145 (stickers) by 5 (friends) to get 29
We will have to divide 2472 by 6 to get 412
7.) 145 ÷ 5 = 29 → Each friend will get 29 stickers
8.) 2,472 ÷ 6 = 412 → There are 412 seats in each second.
I divided for both problems using the long division method and multiplied which is the inverse operation, to check my work.
What is 56x1
Just a regular normal question from me
Your welcome in advance
Answers
Answer:
56
Step-by-step explanation:
hope this helps
plz give me brailiest
Answer:
Step-by-step explanation:
5+4=24
HELP PLS JUST LOOK AT THE PICTURE
Answers
On 50th day she needs to buy new bags of rice.
What is sequence?A sequence is defined as an arrangement of numbers in a particular order.
Sequence: 0.4, 0.8, 1.2, 1.6,......20
a=0.4, d=0.4, a_n= 20
Now,
we have to find in how many days 20 pounds rice will ends
So,
a_n= a + (n-1 )d
20 = 0.4 + (n-1) * 0.4
19.6 = (n-1)0.4
19.6/0.4= n-1
49 = n-1
n= 50
Hence, on 50th day she needs to buy new bags of rice.
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In the function, g(x) = -2x, the independent variable has a value of 6. Find the value of the dependent variable. Type a
numerical answer in the space provided. Do not type spaces in your answer.
Answers
Answer:
g(6)
g(x)=-2x
g(6)=-2(6)
g(6)=-12
-12
that the answer
Step-by-step explanation:
\( \frac{47}{5} \)