Answers
Answer: Choice C) integers from 1 to 10 inclusive
==============================================================
Explanation:
The "U" means "set union". We form a larger set that contains any number that's in set A, set B, or both.
So,
A U B = {stuff from set A, stuff from set B}
A U B = {1,3,5,7,9, 2,4,6,8,10}
A U B = {1,2,3,4,5,6,7,8,9,10}
A U B = set of integers from 1 and 10 inclusive
That makes choice C the final answer.
Choice B is very close to it, but that verbally describes the set {2,3,4,5,6,7,8,9} which leaves out 1 and 10. The "inclusive" makes sure to involve the endpoints 1 and 10, as well as everything in between.
Related Questions
In 2001 , a youth clubs total income was £1000 the club spent 60% of its total income on renting a hall it further spent £250 on prizes work out the ratio
The amount spent on hall : amount spent on prizes
Answers
Answer:
12:5
Step-by-step explanation:
To calculate the ratio, we must first find the values of the two expenditures. The amount spent on renting a hall was 60% of £1000. To represent percentages in decimals, we can simply divide the percentage by 100, resulting in 0.6 here. We can then multiply this value by 1000 to get the amount spent on renting a hall, which comes out to £600
The ratio is then 600 : 250, 60 : 25 (divide both sides by 10) , or 12:5 (divide both sides by another 5)
Which ratios are equal to cos(B)? Choose the TWO ratios that apply.
Answers
Answer:2 and 5
Step-by-step explanation:
The ratios that are equal to [tex]cos(B)[/tex] : [tex]\bold{\frac{BC}{AB}}[/tex] and [tex]\bold{\frac{EF}{DE}}[/tex]
What are similar triangles?"Two triangles are said to be similar
- if corresponding angles are equal and the sides
- if corresponding sides of the triangles are in proportion."
What is cosine angle?In a right triangle,
cos(Ф) = (adjacent side of angle Ф) ÷ hypotenuse
For given example,
Triangles ABC and DEF are similar triangles.
This means, ∠A = ∠D, ∠B = ∠E, ∠C = ∠F
And, [tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex] ..............(i)
For a right triangle ABC,
the cosine of angle B is,
[tex]cos(B)=\frac{BC}{AB}[/tex]
From (i),
[tex]\frac{BC}{AB}=\frac{EF}{DE}[/tex]
So, the cosine of angle B is,
[tex]cos(B)=\frac{EF}{DE}[/tex]
Therefore, the ratios that are equal to [tex]cos(B)[/tex] : [tex]\frac{BC}{AB}[/tex] and [tex]\frac{EF}{DE}[/tex]
Learn more about similar triangles here:
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Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold.
What expression represents the profit?
27x – 650
27x + 390
33x – 650
33x + 390
Answers
The expression which represents the profit is 33x + 390, the correct option is D.
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that;
The polynomial= 2x3 + 30x – 130
The cost, in dollars, of producing the skateboard= 2x3 – 3x – 520.
Now,
To find the expression that represents the profit, we need to subtract the cost from the revenue. So, we have:
profit = revenue - cost
profit = (2x^3 + 30x - 130) - (2x^3 - 3x - 520)
profit = 2x^3 + 30x - 130 - 2x^3 + 3x + 520
profit = 33x + 390
Therefore, the expression will be 33x + 390.
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Please Help. Thank You
Answers
Answer:
x = 21
Step-by-step explanation:
We can use ratios to solve
35 x
------ = ----------
25 15
Using cross products
35*15 = 25x
525 = 25x
Divide each side by 25
525/25 =25x/25
21 =x
Triangle ABC, where Angle C is the Right Angle in the lower left. Side CB is a leg of the triangle and is horizontal--going left and right. Side CA is another leg of the triangle and is vertical--going up and down. Angle A is up on top and is 41 degrees. Angle B (the other acute angle) is unknown. The hypotenuse AB is 30 feet in length. What is the height of the triangle (Side CA)? Round your answer to the nearest tenth of a foot.
help
Answers
Answer:
CA = 22.6 ft
Step-by-step explanation:
For the known angle A, leg CA is the adjacent leg.
Side AB is the hypotenuse.
The trigonometric ratio that relates the adjacent leg tot eh hypotenuse is the cosine.
cos A = adj/hyp
cos 41° = CA/(30 ft)
CA = 30 ft * cos 41°
CA = 22.6 ft
Which equation shows how to use equivalent fractions to evaluate 5/7 + 1/2.
Choose 1 answer:
Answers
Answer:
last one
Step-by-step explanation:
[tex]\frac{5}{7}[/tex] = [tex]\frac{10}{14}[/tex]
[tex]\frac{1}{2}[/tex] = [tex]\frac{7}{14}[/tex]
need common denominators to add fractions.
what ever is multiplied to the bottom needs to be multiplied to the top
for example : [tex]\frac{5}{7}[/tex] x [tex]\frac{2}{2}[/tex] = [tex]\frac{10}{14}[/tex]
5 1 point In the standard form of a circle (x – h)^2 + (y - k)^2 = r^2, which of the following represents the center of the circle?
A:(h,k)
B:r
C:(x,y)
D:r^2
Answers
Option C with h and k
see screenshot for an example
general formula is
r² = (x - x-center)² + (y - y-center)²
Three students found the mean of the data set given. Their work is shown below. Choose the student who correctly found the mean. 10, 10, 13, 14, 16, 19, 23
Answers
Answer:
15
Step-by-step explanation:
To find the mean you add all the numbers together then divide by how many numbers there are.
10+10+13+14+16+19+23=105
105÷7=15
So the student who found 15 as their mean is correct.
105/7 = 15
A random experiment was conducted where a Person A tossed five coins and recorded the number of ""heads"". Person B rolled two dice and recorded the larger number out of the two dice. Simulate this scenario (use 10000 long columns) and answer questions 10 to 13.
Answers
Answer:
(10) Person B
(11) Person B
(12) [tex]P(5\ or\ 6) = 60\%[/tex]
(13) Person B
Step-by-step explanation:
Given
Person A [tex]\to[/tex] 5 coins (records the outcome of Heads)
Person [tex]\to[/tex] Rolls 2 dice (recorded the larger number)
Person A
First, we list out the sample space of roll of 5 coins (It is too long, so I added it as an attachment)
Next, we list out all number of heads in each roll (sorted)
[tex]Head = \{5,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,0\}[/tex]
[tex]n(Head) = 32[/tex]
Person B
First, we list out the sample space of toss of 2 coins (It is too long, so I added it as an attachment)
Next, we list out the highest in each toss (sorted)
[tex]Dice = \{2,2,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6\}[/tex]
[tex]n(Dice) = 30[/tex]
Question 10: Who is likely to get number 5
From person A list of outcomes, the proportion of 5 is:
[tex]Pr(5) = \frac{n(5)}{n(Head)}[/tex]
[tex]Pr(5) = \frac{1}{32}[/tex]
[tex]Pr(5) = 0.03125[/tex]
From person B list of outcomes, the proportion of 5 is:
[tex]Pr(5) = \frac{n(5)}{n(Dice)}[/tex]
[tex]Pr(5) = \frac{8}{30}[/tex]
[tex]Pr(5) = 0.267[/tex]
From the above calculations: [tex]0.267 > 0.03125[/tex] Hence, person B is more likely to get 5
Question 11: Person with Higher median
For person A
[tex]Median = \frac{n(Head) + 1}{2}th[/tex]
[tex]Median = \frac{32 + 1}{2}th[/tex]
[tex]Median = \frac{33}{2}th[/tex]
[tex]Median = 16.5th[/tex]
This means that the median is the mean of the 16th and the 17th item
So,
[tex]Median = \frac{3+2}{2}[/tex]
[tex]Median = \frac{5}{2}[/tex]
[tex]Median = 2.5[/tex]
For person B
[tex]Median = \frac{n(Dice) + 1}{2}th[/tex]
[tex]Median = \frac{30 + 1}{2}th[/tex]
[tex]Median = \frac{31}{2}th[/tex]
[tex]Median = 15.5th[/tex]
This means that the median is the mean of the 15th and the 16th item. So,
[tex]Median = \frac{5+5}{2}[/tex]
[tex]Median = \frac{10}{2}[/tex]
[tex]Median = 5[/tex]
Person B has a greater median of 5
Question 12: Probability that B gets 5 or 6
This is calculated as:
[tex]P(5\ or\ 6) = \frac{n(5\ or\ 6)}{n(Dice)}[/tex]
From the sample space of person B, we have:
[tex]n(5\ or\ 6) =n(5) + n(6)[/tex]
[tex]n(5\ or\ 6) =8+10[/tex]
[tex]n(5\ or\ 6) = 18[/tex]
So, we have:
[tex]P(5\ or\ 6) = \frac{n(5\ or\ 6)}{n(Dice)}[/tex]
[tex]P(5\ or\ 6) = \frac{18}{30}[/tex]
[tex]P(5\ or\ 6) = 0.60[/tex]
[tex]P(5\ or\ 6) = 60\%[/tex]
Question 13: Person with higher probability of 3 or more
Person A
[tex]n(3\ or\ more) = 16[/tex]
So:
[tex]P(3\ or\ more) = \frac{n(3\ or\ more)}{n(Head)}[/tex]
[tex]P(3\ or\ more) = \frac{16}{32}[/tex]
[tex]P(3\ or\ more) = 0.50[/tex]
[tex]P(3\ or\ more) = 50\%[/tex]
Person B
[tex]n(3\ or\ more) = 28[/tex]
So:
[tex]P(3\ or\ more) = \frac{n(3\ or\ more)}{n(Dice)}[/tex]
[tex]P(3\ or\ more) = \frac{28}{30}[/tex]
[tex]P(3\ or\ more) = 0.933[/tex]
[tex]P(3\ or\ more) = 93.3\%[/tex]
By comparison:
[tex]93.3\% > 50\%[/tex]
Hence, person B has a higher probability of 3 or more
Helpppp and explain :)
Answers
Answer:
Problem 1: 25
Problem 2: 693
Step-by-step explanation:
Problem 1:
f(x) = -5n + 1
g(x) = -6n + 2
(f + g)(-2) = f(-2) + g(-2)
f(-2) = -5(-2) + 1
f(-2) = 10 + 1
f(-2) = 11
g(-2) = -6(-2) + 2
g(-2) = 12 + 2
g(-2) = 14
(f + g)(-2) = 11 + 14
(f + g)(-2) = 25
Problem 2:
f(x) = 7 + 2x
g(x) = 5x - 2
fg(7) = f(7) × g(7)
f(7) = 7 + 2(7)
f(7) = 7 + 14
f(7) = 21
g(x) = 5(7) - 2
g(x) = 35 - 2
g(x) = 33
Therefore:
fg(7) = 21 × 33
fg(7) = 693
Find the x-intercept of the graph of the linear equation y= - 1/3 x+3?
x-intercept =
Answers
Answer:
9
Step-by-step explanation:
Plug in 0 for y and solve for x.
0 = (-1/3)x + 3
(-1/3)x = -3
x = 9
How do i solve 1+1=0
Answers
Answer:
Logically that's not possible but if you want to prove it then, you have to use a trick.
Step-by-step explanation:
1 + 1 = 1 + [tex]\sqrt{1}[/tex]
= 1 + [tex]\sqrt{(-1) * (-1)}[/tex]
= 1 + [tex]\sqrt{(-1)}[/tex] * [tex]\sqrt{(-1)}[/tex]
= 1 + [tex]\sqrt{i^2}[/tex] * [tex]\sqrt{i^2}[/tex]
= 1 + i * i
= 1 + i^2
= 1 + (-1)
= 1 - 1
= 0
So, 1 + 1 = 0
Hope this will help. Please give me brainliest.
Peter went to Fury's Heavyweight Buffet for lunch. The total cost of Peter's meal can be represented by the expression $0.25z + $3.00d, where $0.25 is the price per ounce and the drinks cost $3. How much does Peter's lunch cost if he got 3 pounds of food (48 ounces) and one drink?
A$12
B$15
C$9.25
D$48
Answers
Answer:
B
Step-by-step explanation:
0.25z+3d
=0.25(48)+3
=12+3
=15$
Brainliets please
I’m doing algebra homework and I’m really stumped on this problem I could use the help
Answers
Step-by-step explanation:
Zeros : -2
axis of symmetry : x = -2
Max or Min : min
Vertex : (-2, 0)
The two triangles are similar.
What is the value of x?
Enter your answer in the box HELP PLS
Answers
The Above triangles are similar, Therefore the corresponding sides would be proportional.
that is : -
[tex] \dfrac{16}{12} = \dfrac{6x}{5x - 2} [/tex][tex]16 \times (5x - 2) = 12 \times 6x[/tex][tex]80x - 32 = 72x[/tex][tex]80x - 72x = 32[/tex][tex]8x = 32[/tex][tex]x = 32 \div 8[/tex][tex]x = 4[/tex][tex]\mathfrak{best \: \: of \: \: luck \: \: for \: \: your \: \: assignment}[/tex]
solve the equation (log base 3^x)^2_6log base 3^x+9=0
Answers
Step-by-step explanation:
the answer is in the above image
solve for x. round to the nearest tenth. If necessary
Answers
Do sin54 * 2.3
Because sin54 = x/2.3
The figure is a parallelogram. One diagonal measures 28 units.
A parallelogram is shown. It has side lengths 21, 20, 21, and 20. The length of a diagonal is 28.
Is the figure a rectangle? Explain.
Answers
Answer:
It is not a rectangle
Step-by-step explanation:
A rectangle is a shape with 4 sides, such that we have two pairs of parallel sides, where the length of the parallel sides is equal.
so we have two parallel sides with length L and two parallel sides with length L'.
In this figure ,we can see two sides with length 20 and other two with length 21, and this is a rectangle only if the sides meet at 90°degree angles (this would mean that the opposite sides are parallel)
To see this, we can think that the triangle formed by the diagonal and two sides is a triangle rectangle, then using the Pythagorean theorem we should have that:
20^2 + 21^2 = 28^2
841 = 784
So this is not a triangle rectangle, meaning that the angle between the side of 20 and the side of 21 is not a right triangle, then the figure is not a rectangle.
Therefore, it is not a rectangle
Hope u understand
Please mark the brainliest
Thank You
algebra help please answer
Answers
Answer:
Answer is 1st and Last
Step-by-step explanation:
Because if you use logic you should know why
find the radius of each circle. use 3.14for the value of Pie. round your answer to
the nearest tenth. If the
circumference is 54km then what is the radius?
Answers
9514 1404 393
Answer:
8.6 km
Step-by-step explanation:
The circumference of a circle is given in terms of its radius as ...
C = 2πr
Then the radius can be found from the circumference using ...
r = C/(2π)
Filling in the given values, we find the radius to be ...
r = (54 km)/(2·2.14) = (54 km)/6.28 ≈ 8.59873 km
The radius is about 8.6 km.
BRAINLIEST!!! BRAINLIEST!!! BRAINLiEST!!! PLEASE HELP ME WITH THIS QUESTION AND IF IT'S CORRECT I WILL DEFINITELY GIVE YOU THE BRAINLiEST!!!
Answers
Answer:
161 cm
Step-by-step explanation:
Since 115 cm is 5 boxes, we take 115 and divide it by 5. This will get us the cm of 1 box. 115/5=23
Now we take 23 and multiply it by 7 to get the final height. 23x7=161
Answer:
5 boxes have 115 cm height
Then 1 box height is 115 / 5 = 23 cm
7 boxes will have height of 23 * 7 = 161 cm
Give brianliest
Noah wants to make the kite shown below out of cloth.He wants to determine how much cloth he needs.What is the area,rounded to the nearest square centimeter,of Noah's kite?
Answers
Answer:
Step-by-step explanation:
Area 32
rounded up 3/16
Noah needs 1063 square centimeters of clothes.
The area of the kite is 1063 square centimeters.
The correct option is B.
What is a kite's shape?
A kite is a quadrilateral with four sides that may be divided into two neighboring pairs of equal-length sides. A parallelogram, on the other hand, has two sets of equal-length sides, but they are opposed to one another as opposed to being adjacent.
To find the area of a kite, you need to use the formula:
Area = (diagonal 1 x diagonal 2) / 2
where "diagonal 1" and "diagonal 2" are the lengths of the two diagonals of the kite.
To use this formula, follow these steps:
Here, if "diagonal 1" measures (42.7 + 22.5) cm and "diagonal 2" measures (16.3 + 16.3) cm, the area of the kite would be:
Multiply the length of "diagonal 1" by the length of "diagonal 2".
That means the result is 2125.52
Divide the result by 2.
2125.52/2
= 1062.76
≈ 1063
Therefore, the area of the kite is 1063 square centimeters.
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The complete question:
Noah wants to make the kite shown below out of cloth.
He wants to determine how much clothes he needs.
What is the area, rounded to the nearest square centimeter, of Noah's kite?
The image of the kite is given below.
which linear function represents a slope of 1/4
Answers
Answer:
B
Step-by-step explanation:
The line goes down 1 and right 4.
Answer:
Option 2 represents a slope of 1/4.
Podemos ver una muestra de laboratorio que contiene 32 bacterias inicialmente, y que luego de aplicar una vacuna, se autodestruyen a la mitad cada una hora. ¿Al cabo de cuántas horas no quedará ninguna bacteria?. Resuelve utilizando potencias y sus propiedades.
Answers
Answer:
10 horas.
Step-by-step explanation:
Dado que una muestra de laboratorio contiene 32 bacterias inicialmente, y luego de aplicar una vacuna, se autodestruyen a la mitad cada una hora, para determinar al cabo de cuántas horas no quedará ninguna bacteria se debe realizar el siguiente cálculo:
32 / 2 = 16
16 / 2 = 8
8 / 2 = 4
4 / 2 = 2
2 / 2 = 1
1 / 2 = 0.5
0.5 / 2 = 0.25
0.25 / 2 = 0.125
0.125 / 2 = 0.0625
0.0625 / 2 = 0.03125
Por lo tanto, al cabo de 10 horas no quedará ninguna bacteria.
(05.02)
Solve the following system of equations: (1 point)
x − 2y = 14
x + 3y = 9
Group of answer choices
(1, 12)
(−1, −12)
(12, −1)
(12, 1)
Answers
A CD player holds 5 CDs, and each disc has 12 songs. If the CDs are changed randomly, find the probability that your favourite song is played first.
(Give your answer as a fraction)
Answers
Answer:
1/(5*12) = 1/60 = .016 = 1.6%
Step-by-step explanation:
Find the value of x.
42°
(5x + 2)
Answers
Answer:
x=8
Step-by-step explanation:
assuming this is what you mean:
(5x+2)=42
try to
isolate the variable by subtracting 2 from both sides
5x=40
continue to isolate the variable
divide by 5 on both sides
5x/5=40/5
x=8
Geometry is fun or ducks like water
Answers
Answer:
i am a duck and i can confirm water is pretty poggers
Step-by-step explanation:
Check if the point (-3, -5) lies on the line y= 2x -1
Plzzzzz hurry
Answers
Answer:
no
Step-by-step explanation:
To determine if the point lies on the line, substitute x = - 3 into the equation and if the value obtained equals - 5 then it lies on the line.
y = 2(- 3) - 1 = - 6 - 1 = - 7 ≠ - 5
Then the point (- 3, - 5 ) is not on the line
Please HELP ITS DUE LATER TODAY PLZ HELP ILL AWARD BRAINLIST