The intersection of sets is composed of the common elements.
The given sets have two common elements: 2 and 5.
{2;3;5;7}∩{2;5;11;13}={2;5}
Answer:
A ∩ B = {5, 11}
Step-by-step explanation:
Hello, the intersection of two sets A and B (A B), is the set that contains all elements of A that also belong to B , I mean , the common elements
Step 1
Let
A = {2, 3, 5, 7, 11}
B = {5, 11, 13, 15, 17}
you have to verify the common elements, first order the data from least to greatest to make it easier, here they are already sorted
A ∩ B = {5, 11}
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Which expression represents the phrase "half the sum of 10 and a number"
i know this is very late but for future people its
1/2 (10 + x)
Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check all that apply.Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check all that apply.
Answer:
It's option
A) the term...
C) after multiplying
D) the parentheses
Step-by-step explanation:
EDG2021
$250 is discounted into $212.50 what is the percent decrease
Logan has a change jar that contains only pennies and nickels. he has 64 coins which add up to a total of $1.52. how many of each type of coin does he have?
Plane A leaves Tulsa at 2:00 p.m., averaging 300 mph and flying in a northerly direction. Plane B leaves Tulsa at 2:30 p.m., averaging 225 mph and flying due east. At 5:00 p.m., how far apart will the planes be?
Answer 1061
Step-by-step explanation:
Answer:
At 5:00 p.m. the planes will be [tex]1061.323[/tex] miles apart.
Step-by-step explanation:
To solve this problem, I add a picture of the situation.
We know that speed is distance over time ⇒
[tex]Speed=\frac{distance}{time}[/tex] (I)
The first step to solve this exercise is to graph the situation. We can draw a right triangle which vertices will be ''Tulsa'', and the planes ''A'' and ''B'' at 5:00 p.m.
In order to know the measures of the sides, we are going to calculate them using the equation (I)
Plane A leaves Tulsa at 2:00 p.m.
Therefore, at 5:00 p.m. it will have flown 3 hours ⇒
[tex]300\frac{mi}{h}=\frac{distance}{3h}[/tex] ⇒
[tex]distance=(300\frac{mi}{h}).(3h)[/tex]
[tex]distance=900mi[/tex]
At 5:00 p.m. the distance from the plane A to Tulsa is 900 mi
Plane B leaves Tulsa at 2:30 p.m.
Therefore, at 5:00 p.m. it will have flown 2.5 hours ⇒
[tex]225\frac{mi}{h}=\frac{distance}{2.5h}[/tex]
[tex]distance=(225\frac{mi}{h}).(2.5h)[/tex]
[tex]distance=562.5mi[/tex]
At 5:00 p.m. the distance from the plane B to Tulsa is 562.5 mi
Finally, we can find the distance between the plane A and the plane B using the Pythagorean theorem :
[tex](900mi)^{2}+(562.5mi)^{2}=(Distance_{A-B})^{2}[/tex]
[tex]810000mi^{2}+316406.25mi^{2}=(Distance_{A-B})^{2}[/tex]
[tex](Distance_{A-B})^{2}=1126406.25mi^{2}[/tex]
[tex]Distance_{A-B}=\sqrt{1126406.25mi^{2}}[/tex]
[tex]Distance_{A-B}=1061.322877mi[/tex] ≅ [tex]1061.323mi[/tex]
At 5:00 p.m. the planes will be 1061.323 miles apart.
Mrs marks has 3/4 pound of cheese to use making sandwiches she uses about 1/32 pound of cheese on each sandwich how many sandwiches can she make with the cheese she has?
There are 4 teams in a basketball league. Each team plays each of the other teams three times. How many games are played?
each team plays 9 games
( Team 1 plays team 2 3 times, team 3 3 times, team 4 3 times )
9 x 4 = 36 games total
What did the math teacher say after spending 8 hours in the ice and snow worksheet answer key?
Which fraction represents the decimal .12 repeating
The answer is c.) 4/33
Convert the equation (y + 2) = –1/3(x – 4) to the point-slope form. Then fill in the blanks below to describe how to graph the equation.
Plot the point _______, move _______ unit(s) down, and _______ unit(s) over to find the next point on the line.
Jon places a dot on a coordinate plane at (-10, -4). He wants to place another dot across the y axis, and it must be 14 points away. Where will Jon place the other dot?
The coordinates of the other dot across the y-axis will be located at (4,-4).
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.
For example, If shift up by 1 unit, add 1 to the function
If shift down by 4 units, subtract 4 from the function
Since the first value corresponds to the horizontal x-coordinate and the second to the vertical y-coordinate, moving horizontally across the y-axis is the result. As a result, you need to multiply the x-coordinate by 14. Since the direction of your first x-coordinate, -10, is positive, you must add. the solution is (4,-4).
Thus, the coordinates of another dot across the y-axis will be located at (4,-4).
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The north american and european continents are moving apart at a rate of about 3 cm/y. at this rate how long will it take them to drift 500 km farther apart than they are at present?
The North American and European continents will take approximately 166,667 years to drift 500 km farther apart than they are at present.
Explanation:The North American and European continents are moving apart at a rate of about 3 cm/y. To determine how long it will take for them to drift 500 km farther apart than they are at present, we can use the formula:
Time = Distance / Rate
First, we need to convert the distance from kilometers to centimeters. There are 100,000 centimeters in 1 kilometer, so 500 km is equal to 500,000 cm.
Using the formula, the time it will take is:
Calculating this, we find that it will take approximately 166,667 years for the continents to drift 500 km farther apart than they are at present.
What is the length of HN
hn is half the total length
38/2 = 19
You are ordering a hamburger and can get up to 8 toppings, but each topping can only be used once. you tell the cashier to surprise you with the toppings you get. what is the probability that you get 2 toppings? express your answer as a fraction or a decimal number rounded to four decimal places.
The probability of getting 2 toppings on the hamburger is 1/28 or approximately 0.0357.
Explanation:To calculate the probability of getting exactly 2 toppings on your hamburger, we need to consider the total number of possible combinations of toppings and the number of ways to choose 2 toppings out of those combinations.
There are 8 toppings in total, so the total number of possible combinations is 8 choose 2, which is calculated as 8! / (2! * (8-2)!), or 28.
Since you want exactly 2 toppings, the probability is the number of ways to choose 2 toppings out of the total combinations divided by the total number of possible combinations, which is 1/28 or approximately 0.0357 (rounded to four decimal places).
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I flip a fair coin four times what is the probability that i get more heads than tails
1. Find a counterexample.
If two angles are complementary, then they are not congruent.
Two angles of a triangle have the same measure and the third one is 39 degrees greater than the measure of each of the other two. find the measure of the largest angle in the triangle.
Answer:
Step-by-step explanation:
By the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180. If two of the angles are the same, then we will call them x. The third one is 39 more than the measure of each of the other angles, so the third angle measures x + 39. In equation form,
x + x + x + 39 = 180 and
3x + 39 = 180 and
3x = 141 so
x = 47
That means that the largest angle measures 47 + 39 which is 86
NEED HELP ASAP!!!!!!!
Solve the equation.
e² = 0.36
Enter your answer in the box.
e = ±
Answer:
0.6
Step-by-step explanation:
took the test
PLZ PLZ HELP
Which graph represents the solution set of the system of inequalities?
{y<2/3xy≥−x+2
It is the third one on the graph.
Answer:
it was the 3rd one. i took the test :)
Convert 9.46 x 10^12 to expanded form
PLEASE HELP?
Caitlin Grasso is a salesperson in the kitchen and bath department at Morris Supplies, Inc. She makes 5.5% straight commission on her total sales. What were her total week's sales, if her gross pay was $560?
A. $10,741.82
B. $3,640.00
C. $3,080.00
D. $10,181.82
Answer:
D
Step-by-step explanation:
If her pay is $560, her sales is "something" whose 5.5% is 560.
We can setup the equation below and solve (let total sales be [tex]s[/tex]):
[tex](0.055)(s)=560\\0.055s=560\\s=\frac{560}{0.055}\\s=10,181.82[/tex]
Answer choice D is right.
HELP PLEASE The Appalachian Mountains had what effect on the people of the thirteen original colonies? A) they acted as a barrier to further settlement to the west B) they provided protection to the colonists from invading Indians C) they provided protection to the colonists from Spanish conquistadors D) animals lived there and were an important food source to major cities in the East
the answer is...
Dan has a flower shop. Each day he displays 24 roses. He gives away 10 and sells the rest. Each day he displays 36 carnations. He gives away 12 and sells the rest. What expression can you use to find out how many roses and carnations Dan sells in in a week.
evaluate the expression to find out how many roses and carnations dan sells in a week
A science teacher needs to choose 4 students from a class of 20 to go to the library to do some research. How many different groups can he select?
The number of groups the science teacher can make is 5.
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
The total number of students is 20.
And, the number of students in one group is 4.
Now, the number of groups can be found using the following operation as,
Number of group = Total students ÷ Number for each group
⇒ 20 ÷ 4 = 5.
Hence, the total number of groups can be obtained as 5.
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Jimmy made a 15% profit on the sale of a custom designed boat, and the original cost of the boat was $15,000. the boat sold for how much?
Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x = 7.
y=15 when x=6
To write a direct variation equation, we use the form y = kx, where k is the constant of variation. We can find the value of k by substituting the given values into the equation. Once we have the value of k, we can write the direct variation equation that relates x and y. Finally, we can find the value of y for a given value of x by substituting it into the equation.
Explanation:To write a direct variation equation, we use the form y = kx, where k is the constant of variation. We are given that y = 15 when x = 6. To find k, we can substitute these values into the equation:
15 = k * 6
To find the value of k, we divide both sides by 6:
k = 15/6 = 2.5
Now we can write the direct variation equation that relates x and y:
y = 2.5x
To find the value of y when x = 7, we substitute x = 7 into the equation:
y = 2.5 * 7 = 17.5
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To which set of numbers does the number -12 belong?
A jet travels 500 miles in 2 hours. At this rate, how far could the jet fly in 8 hours? What is the rate of speed of the jet? PLEASEEE HELP
Which one of the following statements is NOT true of a free-falling object? An object in a state of free fall ____.
falls with a constant speed of -10 m/s.
falls with a acceleration of -10 m/s/s
falls under the sole influence of gravity
falls with downward acceleration which has a constant magnitude
The statement which is NOT true among the given options is the first option - falls with a constant speed of -10 m/s.
In order to the determine which of the statements is NOT true, we will study each of the options one after the other.
For the first option - "falls with a constant speed of -10 m/s"When an object is in a state of free fall, the speed is not constant. The speed actually increases as it moves closer to the ground.
∴ The first option is NOT true
For the second option - "falls with a acceleration of -10 m/s/s"An object that is falling freely, falls under the influence of gravity. Acceleration due to gravity is approximately 10 m/s/s (10m/s²).
Therefore, an object in a state of free fall, falls with an acceleration of -10 m/s/s (The negative sign indicates deceleration, because the object is moving towards the ground).
∴The second option is true
For the third option - falls under the sole influence of gravityAs stated earlier, an object in a state of free fall, falls under the influence of gravity.
∴ The third option is true
For the fourth option - "falls with downward acceleration which has a constant magnitude"
As stated earlier, an object in a state of free fall, falls under the influence of gravity and acceleration due to gravity is approximately 10 m/s/s (10m/s²). This value is constant.
∴ The fourth option is true
Hence, the statement which is NOT true among the given options is the first option, falls with a constant speed of -10 m/s
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(01.02) given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3. (1 point) −15 −8 10 25