Answer:
There will be 15 2/3 cups in the mixture.
Step-by-step explanation:
3 3/5 + 2 2/3 = 3 9/15 + 2 10/15 = 5 19/15
= 6 4/15
6 4/15 × 2 1/2 = 94/15 × 5/2 = 47/3 = 15 2/3
So there will be 15 2/3 cups in the mixture.
Which of the following domains are closed and which are bounded?
(a) {(x,y)∈R2:x2+y2≤1}
(b) {(x,y)∈R2:x2+y2<1}
(c) {(x,y)∈R2:x≥0}
(d) {(x,y)∈R2:x>0,y>0}
(e) {(x,y)∈R2:1≤x≤4,5≤y≤10}
(f) {(x,y)∈R2:x>0,x2+y2≤10}
(a) The domain closed and bounded.
(b) The domain bounded.
(c) The domain closed.
(d) The domain bounded.
(e) The domain closed and bounded.
(f) The domain closed and bounded.
In this question, we have been given some domains.
We need to check which domains are closed and which are bounded.
A domain of function is said to be closed if the region R contains all boundary points.
A bounded domain is nothing but a domain which is a bounded set.
(a) {(x,y)∈R2:x^2+y^2≤1}
The domain of x^2+y^2≤1 contains set of all points (x, y) ∈R2
so, the domain closed and bounded.
(b) {(x,y)∈R2:x2+y2<1}
The domain of x^2+y^2 < 1 contains set of all points (x, y) ∈R2
so, the domain is bounded.
(c) {(x,y)∈R2: x ≥ 0}
The domain of x ≥ 0 is R2 - {x < 0}
So, the domain is closed.
(d) {(x, y) ∈ R2 : x > 0,y > 0}
The domain is R2 - {(x, y) ≥ 0}
So, the domain is bounded.
(e) {(x, y) ∈ R2 : 1 ≤ x ≤ 4, 5 ≤ y ≤ 10}
The domain is closed and bounded.
(f) {(x,y)∈R2:x>0,x^2+y^2≤10}
The domain is closed and bounded.
Learn more about the domain here:
https://brainly.com/question/28135761
#SPJ4
Geometry trig Help !
Answer:
12.02ft
Step-by-step explanation:
the diagram is explanatory
I hope it helps
Answer:
The angle of elevation is 25.8°
Step-by-step explanation:
hypotenuse = 40; adjacent = 36 . The angle of elevation is between the 40 and 36 or the elevation from the street.
Cos x = 36/40 cos x = adjacent ÷hypotenuse
\(cos^1(x) = \frac{36}{40}\)
\(cos^1(x) = .9\) Use the calculator: TI ( 2ndcos(.9) enter
\(x = 25.84\)
x ≈ 25.8°
Write the number in standard form.
8 x 10^-3
Answer:
If you mean 3 then 8,000, but if you mean -3 then .008
Step-by-step explanation:
Find the surface area of the figure. Hint: the surface area from the missing prism inside the prism must be ADDED!
To find the surface area of the figure, we need to consider the individual surfaces and add them together.
First, let's identify the surfaces of the figure:
The lateral surface area of the larger prism (excluding the base)
The two bases of the larger prism
The lateral surface area of the smaller prism (excluding the base)
The two bases of the smaller prism
The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.
The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.
To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.
Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.
Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.
Learn more about surface here
https://brainly.com/question/16519513
#SPJ11
for each diagram, determine whether angles 1 & 2 are adjacent angles, heeeelp please :(
Answer:
Diagram 5: Not adjacent angles
Diagram 6: Not adjacent angles
Diagram 7: Are adjacent angles
Diagram 8: Are adjacent angles
Step-by-step explanation:
In order for angles to be adjacent, they need to have all of three things:
1. Have a common vertex
2. Have a common side
3. Must not overlap
Diagram 5 does not have a common side between angles 1 and 2, so it is not adjacent.
Diagram 6 does not even have angles 1 and 2 connected in any way so it is not adjacent.
Diagrams 7 and 8 have all three conditions, so those diagrams are adjacent.
suppose a parabola has an axis of symmetry at x=-2, a maximum height of 8, passes through the point (-6, 2). Wrire the equation of the parabola in vertex form.
Answer:
y = -3/8(x + 2)^2 + 8
Step-by-step explanation:
vertex form is
y = a(x - b)^2 + c where a is a constant and (b,c) is the vertex.
The maximum is at (-2, 8) because x 8 = height and x =-2 is equn. of symmetry
So here we have
y = a(x - (-2))^2 + 8
y = a(x + 2)^2 + 8
Now at the point (-6, 2):
2 = a(-6+2)^2 + 8
2 = 16a + 8
16a = -6
1 = -3/8.
So our equation is y = 3/8(x + 2)^2 + 8
What is the value of 7P3?
021
35
210
840
Answer:
210
Step-by-step explanation:
The answer for 7p3 is : 210. This can be solved in the following way: 7p3 is an expression for permutation which means the number of ways of arranging 3 items from a total of 7 items.
Hope This Help?
Please Mark Me Brainly!
what is the probability that neither of your two groupmates has studied any statistics? ____ (Round to four decimal places as needed.)
The probability that neither of your two groupmates have studied any statistics is 4/45.
Let, E be the event that none of the two groupmates have studied any statistics. The event of interest is that "one of your groupmates has not studied any statistics" Out of the total n students, you select any 2 students out of n−1, but the person who has not studied statistics must be in the team of three. If there are k people who have not studied statistics, then the probability of this person being selected is k/n.
The probability that none of your two groupmates has studied any statistics, given that one of your groupmates has not studied any statistics can be obtained as follows:
P(E | F) = (1/(n-1)) (k/(n-1)) / [1 - k/(n-1)]P(E | F)
= (k / (n-1) ) x (1 / (n-k-1)) (k+1)/(n-k-1)P(E | F)
= k(k+1)/(n-1)(n-2)
Therefore, the probability that neither of your two groupmates has studied any statistics is k(k+1)/(n-1)(n-2). Hence, the required probability is 4/45 (rounded to four decimal places).
You can learn more about statistics at: brainly.com/question/29093686
#SPJ11
Annie is participating in a winner-take-all World Series of Poker tournament that costs 10 thousand dollars to enter. The prize for winning the tournament is 500 thousand dollars. Annie estimates that there is a 0.5% chance that she will win the tournament.
Find the expected value of entering the tournament for Annie.
_____ thousand dollars
Annie is participating in a winner-take-all World Series of Poker tournament that costs 10 thousand dollars to enter. The prize for winning the tournament is 500 thousand dollars. Annie estimates that there is a 0.5% chance that she will win the tournament.The expected value of entering the tournament for Annie is 0.50 thousand dollars.
Expected Value:
Expected Value (EV) of a situation is defined as the value of the outcome multiplied by the probability of the outcome taking place. It is the average amount of money a player can expect to win or lose per bet. In this case, expected value (EV) is calculated as the sum of the products of the various probabilities and payoffs. It is determined using the following formula:
E(X) = Σ Xi Pi
Annie's Cost of Entry = 10 thousand dollar
Prize Money for Winning = 500 thousand dollars
The probability of winning the tournament = 0.5% = 0.005 = Pi
Expected value (EV) of entering the tournament = (500 thousand x 0.005) - (10 thousand x (1 - 0.005))
= (2.5 thousand) - (9.95 thousand)
= - 7.45 thousand
According to the above calculation, entering the tournament results in an expected value of -7.45 thousand, meaning that on average, players would lose 7.45 thousand if they enter the tournament.
However, in some circumstances, players may receive the 500 thousand prize, while in others, they may not receive anything at all, resulting in significant losses or gains for some players.
for such more question on expected value
https://brainly.com/question/14723169
#SPJ11
PLZ HELP IF U KNOW 14+points
Drag each tile to the correct box.
Amy, Catherine, and Herb sell Internet advertising. The dot plots show how many companies they sell advertising to per day. Each data set is for 20 days randomly selected from a full year. Arrange the data sets in order from the data that is most spread out to the data that is least spread out.
TILES:
Amy
Herb
Catherine
SEQUENCE:
____>_____>_____
Answer:
Herb-Catherine-Amy
Step-by-step explanation:
Answer:
Herb-Catherine-Amy
Step-by-step explanation:
Help me with this question please
Answer:
Answer: C. Alternate Interior Angles
Step-by-step explanation:
The picture here shows a bunch of angles, and we can see that there is one line that goes through 2 of the lines shown. That line includes all 1-8 angles. Here, we can assume that we are dealing with a pair of parallel lines, and a transversal. The one line going through 2 of the lines shown would be the transversal, and the other 2 lines would be the pair of parallel lines. For the 2 lines that are parallel with each other, there are angles taht are inbetween them, and others that are not. Angles 2, 7, 3, 6 are between the 2 parallel lines, and meaning that they are interior angles. Angles 1, 8, 4, and 5 are not inbetween the 2 parallel lines, so they are called exterior angles. We are given a list of classifications. I will tell what each of them are. Corresponding angles are angles that can be seen on the same side of the transversal, and same position. For example, angles 1 and 3. Consecutive interior angles are angles that are within the 2 parallel lines. They are just right infront of eachother, and both interior angles add up to 180 degrees. Pretty cool. For example, angles 2 and 3 are Consecutive interior angles. Alternate interior angles are angles located between the 2 parallel lines. Instead of them being right infront of eachother like Consecutive interior angles are, they are to the opposite sides. An example, angles 3 and 7 are alternate interior angles. Lastly, but not least, Alternate exterior angles are angles not between the 2 parallel lines. Just like alternate interior angles, they are on the orher side of the transveral across. An example of exterior angles are, angles 1 and 5. On with the question! Question asks for angles 2 and 6. Since they are inbetween the 2 parallel lines, they are interior angles. Crossing out option D, because it talks about exterior angles. Corresponding angles also does not work, because angles 2 and 6 are not on the same side of the transversal(not infront of each other). Corresponding angles also usually include and interior and exterios angle. With said, we can mark option A wrong. Consecutive interior angles are also wrong, the 2 interior angles are not infront of eachother, and are on opposite sides of the transversal. Leading to C Alternate Interior Angles to be the answer, I hope this helps you! Enjoy your day today. ⬛⬛⬛
Step-by-step explanation:
PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)
Gina is buying 24 oranges. Two stores offer the following deals:
Store A: 12 oranges for $6.48
Store B: 5 oranges for $2.65
Gina can buy oranges individually.
How much will Gina save if she buys 24 oranges at Store B?
Show your work.
Answer:
She saves 24 cents by buying 24 oranges at store B
Step-by-step explanation:
Price per orange A = 6.48 / 12 oranges = .54 per orange
.54 * 24 oranges = 12.96 for store A
Price per orange B = 2.65 / 5 = .53 per orange
.53 * 24 oranges = 12.72 for store B
12.96 - 12.72 = .24 dollars (24 cents)
help with these two pages
A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at a straight angle or 90 degrees.
Explain about the square?Area of a square is measured in square units. The area of a square equals d22 square units when the diagonal, d, is known. For instance, a square with sides that are each 8 feet long is 8 8 or 64 square feet in area (ft2)
A square is a common polygon with four equal sides and angles that are each 90 degrees in length.
A square is a four-sided polygon with sides that are all the same length and angles that are all exactly 90 degrees. The square's shape ensures that both parts are symmetrical if it is divided down the middle by a plane. Then, each half of the square seems to be a rectangle with diagonal sides.
To learn more about square refer to:
https://brainly.com/question/25092270
#SPJ1
For the first five legs of a bicycle race, Elena was
32 seconds, 5 seconds, 10 seconds, 8 seconds, and
12 seconds behind the leader. What was the
average time she was behind the leader?
Answer:
13.4 seconds
Step-by-step explanation:
add up the five times, then divide the total by 5 (mathematical average)
32 + 5 + 10 + 8 + 12 = 67 seconds total
divide by 5 legs of race 67 / 5 = 13.4 seconds behind the leader on average
always put units to prevent points off by teacher. also pay attention to any rounding instructions
Find angle H in degrees
In the given right triangle the required value of H is 53° respectively.
What is a right triangle?A right triangle is a triangle with one right angle or two perpendicular sides. It is also referred to as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle.
The relationship between the sides and various angles of the right triangle serves as the basis for trigonometry.
So, the given right angle triangle has given side lengths for each side.
Any of the fundamental trigonometric ratios can be used to calculate angle H.
Then,
sin(H) = opposite/hypotenuse
sin(H) = 8/10
sin(H) = 0.8
To obtain this; we take the inverse sine of both sides:
H = sin⁻¹(0.8)
Then, we obtain:
H = 53.1
Rounding off: H = 53
Therefore, in the given right triangle the required value of H is 53° respectively.
Know more about the right triangle here:
https://brainly.com/question/2217700
#SPJ1
Sachi and Olivia are coaches on the soccer team. They bring bottles of water and lemonade to a game. Each bottle of water contains the same
amount of water, and each bottle of lemonade contains the same amount of lemonade.
Sachi brings 22 bottles of water and 15 bottles of lemonade, which is a total of 564 fluid ounces.
Olivia brings 28 bottles of water and 10 bottles of lemonade, which is a total of 536 fluid ounces.
Sachi and Olivia bring enough water and lemonade so that each player gets 2 bottles of water and 1 bottle of lemonade.
How many total fluid ounces does each player get?
Here every player gets 2 bottles of water and 1 bottle of lemonade. Then each player should get a total of 4 fluid ounces of water and 2 fluid ounces of lemonade.
Here we have to apply the principles of algebraic expressions to derive the answer
To evaluate the total fluid ounces each player gets, we can apply summation of the total fluid ounces from Sachi's bottles and Olivia's bottles then divide it by the number of players.
Total fluid ounces from Sachi's bottles = (22 × x) + (15 × y)
where
x = number of fluid ounces in each bottle of water
y = number of fluid ounces in each bottle of lemonade.
Total fluid ounces from Olivia's bottles = (28 × x) + (10 × y)
Total fluid ounces = Total fluid ounces from Sachi's bottles + Total fluid ounces from Olivia's bottles
Total fluid ounces = (22 × x) + (15 × y) + (28 × x) + (10 × y)
Total fluid ounces = 50x + 25y
Total number of players = Number of players on Sachi's team + Number of players on Olivia's team
Total number of players = 2(Number of players on Sachi's team)
Total number of players = Number of players on Sachi's team + Number of players on Olivia's team
Number of players on Sachi's team = Total number of players / 2
Number of players on Olivia's team = Total number of players / 2
Staging the values we get,
50x + 25y = Total fluid ounces = (22 × x) + (15 × y) + (28 × x) + (10 × y)
50x + 25y = 564 + 536
50x + 25y = 1100
Dividing both sides by 25,
2x + y = 44
Each player gets 4 fluid ounces of water and 2 fluid ounces of lemonade.
To learn more about algebraic expressions
https://brainly.com/question/4344214
#SPJ1
HELP ME PLEASE SOMEONE!!
Answer:
number 3
Step-by-step explanation:
number 3 the answer is the third one
¿como representarían la expresión "cualquier posición"?
Answer:
How would you represent the expression "any position"?
Step-by-step explanation:
andrea spent twice as many hours studying as jonah this month. jonah spent 7 fewer hours studying this month than last month. let h represent the number of hours jonah spent studying last month. write an algebraic expression for the number of hour andrea spent studying this month.
The algebraic expression for the number of hours Andrea spent studying this month is 2H - 14, where H represents the number of hours Jonah spent studying last month.
Let A represent the number of hours Andrea spent studying this month.
Since Andrea spent twice as many hours studying as Jonah this month, we can write
A = 2J
And since Jonah spent 7 fewer hours studying this month than last month, we can write
J = H - 7
Substituting J = H - 7 in the first equation, we get
A = 2(H - 7)
Simplifying this expression, we get
A = 2H - 14
Therefore, the algebraic expression for the number of hours Andrea spent studying this month is 2H - 14.
To know more about algebraic expression:
https://brainly.com/question/953809
#SPJ4
The school is 100 meters from Miguel's house.
The following describes the most recent trip.
He walked 75 meters towards school in 3
min. Miguel realized that he left his iPad at
home.
• He tumed around and walked home at the
same speed.
He spent 5 min. looking for his iPad.
• Then he walked all the way to school at 50
meters per minute.
Use the graph tool to create a graph that accurately
represents Miguel's walk.
yeah
Answer:
i don't knoe if we can do it without the graph
1 mile long to 800 feet
Answer:
0.1515
Step-by-step explanation:
1 mile = 5,280 feetTo convert 1 mile to 800 feet, we can set up a proportion:
\( \frac{1 mile}{5,280 feet} = \frac{x \: miles}{800 feet} \)
where x is the number of miles equivalent to 800 feet. To solve for x, we can cross-multiply:
\({5,280 feet}^{x miles} = {800 \: \: feet}^{1 mile}\)
Dividing both sides by 5,280 feet, we get:
\(x miles = \frac{800 feet}{5,280 feet} \\ x miles = 0.1515151515 miles\)
Therefore, 1 mile is equivalent to approximately 0.1515 miles or 800 feet is equivalent to approximately 0.1515 miles.
what is 7.2910 rounded to the nearest tenth
Answer:
7.3
Step-by-step explanation:
Tenth is the first digit after decimal sign
Given number is:
7.2910Since the next digit after the tenth digit is 9>5, we add 1 to tenth digit and drop the rest digits on the right of digit 2
So we get:
7.3 as rounded numberpls answer What are the values of \((-2)^4\) and \(-2^4\) ?
Answer:
-16
Step-by-step explanation:
Is there a relationship between the distance and the sum? Is there a relationship between the distance and the difference
the variable m varies directly w the square of n and inversely with the square root of p. When n=4 and p=16 then m=8. Write the equation which describes the relationship between m, n and p
Answer:
well obviously the relationship with those is 28
Step-by-step explanation:
Which of these numbers is a
perfect square?
How do you know?
a) 10
b) 50
c) 81
d) 20
Answer:
C. 81 because 9 going to make 81 an perfect square.
What is the slope of the line through the points (2,5) and (6,13)?
A. 1/2
B. -2
C. 7/3
D. 2
Answer:
1/2
Step-by-step explanation:
A bottling company want to know if the average amount of amount of soda in their bottles is really 20 ounces. Quality control created a sampling distribution of samples size 50. The average of a sample was 19. 8 oz with a standard deviation of 0. 2. What is the mean and standard deviation of the population?
The mean and standard deviation of the population is 19.8 and 0.004 respectively.
Mean:
The mean is the simple mathematical average of a set of two or more numbers. The mean of a given set of numbers can be calculated in several ways, including the arithmetic mean, which uses the sum of the numbers in the range, and the geometric mean, which takes the mean product of a set. However, all major methods of calculating simple averages produce the same approximate result most of the time.
Standard Deviation:
In statistics, standard deviation is a measure of the amount of variation or distribution of a set of values. A low standard deviation indicates that the values tend to be close to the ensemble mean (also called the expected value), while a high standard deviation indicates that the values are spread over a wider range.
Given that:
E(x) = μ = 19.8
var(x) = σ²/n = 0.2/50 = 0.004
from here can say that mean = 19.8 and
standard Deviation is 0.004.
Now,
295 -298 P(Bottle x < 295) =P(Z< ) =-1.00 =.15873
Thus, there is nearly a 16% probability that just 1 randomly selected
bottle contains < 295 ml.
Learn more about Standard Deviation:
https://brainly.com/question/23907081
#SPJ4
If a spherical balloon is inflated, and its volume is increasing at a rate of 6 in^3 /min, what is the rate of change of the radius when the radius is 3 in? 1
1/6pi in/min
2/3pi in/min
3pi/2 in/min
3pi in/min
3/4pi in/min
The rate of change of the radius of the spherical balloon when the radius is 3 inches is 1/6π in/min.
The rate of change of the radius of the spherical balloon when the radius is 3 inches is 1/6π in/min.
Explanation:The volume V of a sphere of radius r is given by the formula
V = (4/3)πr³
Differentiating both sides of the equation with respect to time t (using the chain rule), we get
dV/dt = 4πr² (dr/dt)
We know that
dV/dt = 6 in³/min (given in the problem statement) and r = 3 in (given in the problem statement)
Therefore,6 = 4π(3²) (dr/dt)
dr/dt = 6 / (4π × 9)
dr/dt = 1 / (6π/4)
dr/dt = 4/6π
= 2/3π in/min
So, the rate of change of the radius of the spherical balloon when the radius is 3 inches is 1/6π in/min.
To know more about radius visit:
https://brainly.com/question/13449316
#SPJ11
What are the opportunity costs involved in either decision?
Opportunity cost is the price of giving up an option. An opportunity cost is the price you pay for selecting a particular option over another. Opportunity cost is the benefits you lose by choosing one alternative over another one.”
The value of the next-highest-valued alternative use of a resource is what economists mean when they talk about its "opportunity cost." You cannot, for instance, read a book at home during the time you would have spent seeing a movie and spend the money you would have spent on something else.
Opportunity cost is frequently referred to as the second-best option. The loss of benefit that would have been realized if a different option had been taken is sometimes referred to as the alternative cost. The loss of advantage as a result of a change in decision is another way to explain it.
Learn more about opportunity costs to visit this link
https://brainly.com/question/13036997
#SPJ4