If set A contains four distinct numbers and set B contains seven distinct letters, how many elements are in (A U B)?
There are 11 elements are in (A U B)
How to determine the number of elements?The given parameters are:
n(A) = 4
n(B) = 7
The number of elements in (A U B) is calculated using:
n(A U B) = n(A) +n(B) - n(A U B)
Given that the sets have distincts elements, we have:
n(A U B) = 4 + 7 - 0
Evaluate
n(A U B) = 11
Hence, there are 11 elements are in (A U B)
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Answer: There are 11 elements are in (A U B)
Step-by-step explanation:
factorize
2x²-x²-x
Please help me fast to solve this problem.
Answer: x (x - 1)
Step-by-step explanation:
[tex]2x^{2} - x^{2} -x[/tex]
[tex]x^{2} -x[/tex]
x (x - 1)
Solve for x.
(x−2)^2+2=38
x= ___ or x= ___
Answer:
[tex]x \: = \: \boxed{ \bold{ - 4 }}\: \: \text{or} \: \: x \: = \: \boxed{ \bold{ 8}}[/tex]
Step-by-step explanation:
[tex](x \: - \: 2 {)}^{2} \: + \: 2 \: = \: 38[/tex]
[tex] {x}^{2} \: - \: 4x \: + \: 4 \: + \: 2 \: = \: 38[/tex]
[tex] {x}^{2} \: - \: 4x \: + \: 6 \: = \: 38[/tex]
[tex] {x}^{2} \: - \: 4x \: + \: 6 \: - \: 38 \: = \: 0[/tex]
[tex] {x}^{2} \: + \: 4x \: - \: 8x \: - \: 32 \: = \: 0[/tex]
[tex]x \: \times \: (x \: + \: 4) \: - \: 8(x \: + \: 4) \: = \: 0[/tex]
[tex](x \: + \: 4) \: \times \: (x \: - \: 8) \: = \: 0[/tex]
When it happens that the product of the factors is the same as zero. It is divided into two possible cases.[tex]x \: + \: 4 \: = \: 0 \\ x \: - \: 8 \: = \: 0[/tex]
We solve the two equations:[tex]x \: = \: - 4 \\ x \: = \: 8[/tex]
Answer:[tex]x \: = \: - 4 \\ x \: = \: 8[/tex]
MissSpanishA number x is at least 5 and is at most 8
Answer:
[tex]5 \leqslant x \leqslant 8[/tex]
A rectangular patio has a length of 12 1\2 feet and an area of 103 1\8 square feet. What is the width of the patio?
Answer:
8.25 feet
Step-by-step explanation:
to find the width, you divide the area by the length
103 1/8 / 12 1/2 = 8.25
Give brainliest, please!
Hope this helps :)
Use the long division method to find the result when 2 x 3 + 3 x 2 + 17 x + 8 2x 3 +3x 2 +17x+8 is divided by 2 x + 1 2x+1.
What is the range of function g if g(x) =-2f(x-3)
Answer:
If you entered the function correctly there is not a range
Step-by-step explanation:
Answer: {y|-♾<y<0}
Step-by-step explanation: i’m taking this summer school class
The graph of y=cosx is translated by (30,-1). What is the equation of the translated graph?
The equation on the graph is shown (I really hope this helps)
Equation of the translated graph is;
⇒y = cos(x - 30) - 1
What is equation of translated graph?
Equation of the translated graph is solved as;
g(x) = f(x + k) + C
Where, k and C are points.
Given that;
The equation is;
y = cos x
Since, Graph of function y = cosx is translated by (30, -1).
So, Equation of translated graph will be;
y = cos(x - 30) - 1
Hence, The equation of the translated graph will be;
⇒ y = cos(x - 30) - 1
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Please answer quick. Will mark whoever is first brainliest. The x intercept of the line is either A. (5,0) or B. (10,0) and it’s Y intercept is either A. (0,1/20) or B (0,20)
Answer:#1 A, #2 B
Step-by-step explanation:
Heres the proof
Which of these is a recurring cost of car ownership?
A. Windshield replacement
B. Driver's license application fee
C. Gas
O D. Bumper replacement
A music company offers a loan to buy a drum set for $1800.
-15.25% simple interest
-Equal monthly payment for 4 years.
What is the monthly payment?
The monthly payment is $____
Using it's formula, it is found that the value of the monthly payment for the loan to buy the drum set is of $50.32.
What is the monthly payment formula?It is given by:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
In which:
P is the initial amount.r is the interest rate.n is the number of payments.In this problem, the parameters are given as follows:
P = 1800, r = 0.1525, n = 4 x 12 = 48.
Hence:
r/12 = 0.1525/12 = 0.01270833.
Hence, the monthly payments will be of:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
[tex]A = 1800\frac{0.01270833(1 + 0.01270833)^{48}}{(1 + 0.01270833)^{48} - 1}[/tex]
A = 50.32.
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Which function has a vertex at (2, 6)?
f(x) = 2x21 - 6
f(x) = 2|x2| +6
f(x) = 2x + 2+ 6
f(x) = 2x + 2 - 6
The function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function that has vertex at (2, 6)
The options are:
f(x) = 2|x – 2| – 6
f(x) = 2|x – 2| + 6
f(x) = 2|x + 2| + 6
f(x) = 2|x + 2| – 6
As we know the vertex form of a quadratic function is given by:
f(x) = a(x - h)² + k
Similarly, mod function can be expressed as:
m(x) = a|x - h| + k
Here (h, k) is the vertex of a function.
In the function:
f(x) = 2|x – 2| + 6
The vertex of the function is (2, 6)
Thus, the function f(x) = 2|x – 2| + 6 has a vertex at (2, 6) option second is correct.
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Which statements are true?
Select each correct answer.
All trapezoids are quadrilaterals.
All rhombuses are squares.
All rhombuses are parallelograms.
All quadrilaterals are parallelograms.
Answer:
all rhombuses are parallelograms, all trapezoids are quadrilaterals
Step-by-step explanation:
rhombuses have all equal sides, 2 sets of parallel lines and are a diamond shape. a quadrilateral is a shape with 4 sides (quad means 4) therefore, all rhombuses are parallelograms. we know that all trapezoids have 4 sides, so we can conclude that all trapezoids are quadrilaterals i hope this helped because i know that end of year tests are super hard.
Thank you for your help. The question is in the screenshot
Answer:
Hi,
Step-by-step explanation:
Using the pythagorean theorem , let's calculate the apothem of a side:
a²=26²-10²=57=24²
Area of a side: 24*10*2/2=240 (ft²)
Lateral area=240*4=960(ft²)
Area of the base: 20²=400 (ft²)
Total area=1360(ft²)
The Pythagorean theorem can only be used with witch type of triangle
Answer:
Right Triangles
Step-by-step explanation:
Using the net below, find the surface area
of the triangular prism.
6 cm
8 cm
15 cm
15 cm
6 cm 8 cm
6 cm
Surface Area
[?] cm²
10 cm
Enter
Find the angle of depression
from point A to point C.
A
?
C
B
Angle of depression = [?]°
Enter
55°
350 m
The angle of depression is 35 degree in the right angle triangle if the angle BAC is 55 degree.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have shown a right-angle triangle in the picture.
In the right angle triangle, ABC
The angle BAC = 55 degree
Angle BAA' = 90 degree
In the figure, the angle of depression = CAA'
= BAA' - BAC
= 90 - 55
= 35 degree
Thus, the angle of depression is 35 degree in the right angle triangle if the angle BAC is 55 degree.
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If you roll a standard number cube 95 times, how many times do you expect the cube to show a one or a three?
Answer:
32 times
Step-by-step explanation:
the probability in getting a certain number is you first find out the chance of rolling one side on a die. There are six sides, and there is two numbers on it you want a 3 and a 1. so you would get 2/6 would be the fraction of what you what most likely get, so you would multiply 95 by 2/6 you get the correct answer
In the following exercises, translate into an equation and solve
Kindergarten Connie’s kindergarten class has 24 children. She wants them to get into 4 equal groups. How many children will she put in each group?
Answer: 6 children
Step-by-step explanation:
Given:
Children - 24
Groups - 4
Number of children per group - x
Solve:
24 ÷ 4 = x
x = 6
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please answer this !!
uhm i dont know sorry but i can't help you
The diameter of a circle is m. What is the area
Answer:
[tex] (\frac{{m}^{2} }{4} )\pi[/tex]
Step-by-step explanation:
we can find the radius from the diameter by dividing the diameter by 2 (radius is half the diameter)
the formula for the area of a circle is r²π (with r being radius) but since we must use diameter we have to replace r with (m/2)
this gives us our new formula of (m/2)²π, which simplifies to (m²/4)π
that is the answer
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A pie has a diameter of 9 inches. each slice of the pie has a central angle of 45 degrees. What is the area of each slice of pie?
Area of sector
Ø/360×πr²45/360×π(4.5)²1/8×π(20.25)7.95in²option B
Answer:
b
Step-by-step explanation:
The area of a sector is (the angle) over 360 multiplied by pi (radius) squared
This would be 45/360 pi (4.5) squared, resulting in option b.
Aisha has a piece of string that she cuts into smaller pieces. This line plot shows the length of each piece. Juan has a piece of string that is 12 as long as Aisha's seventh-longest piece. (Note: The problem states the seventh-longest piece, not the seventh-longest length.)
How long is Juan's piece of string?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
2 5/8 inches
Step-by-step explanation:
There are 2 pieces 5 3/4 inches long.
There is 1 piece 5 1/2 inches long.
There are 4 pieces 5 1/4 inches long.
The seventh longest piece is one of the pieces measuring 5 1/4 inches.
Juan's piece is 1/2 as long as 5 1/4 inches.
1/2 × 5 1/4 inches = 1/2 × 21/4 = 21/8 inches = (16/8 + 5/8) = 2 5/8 inches
A convex hexagon has exterior angles of 39°, 47°, 42°, 59°, and 64°. What is the measure of an exterior angle at the
sixth vertex?
Answer: [tex]109^{\circ}[/tex]
Step-by-step explanation:
The exterior angles of a polygon add to 360 degrees, so the sixth angle measures [tex]360-39-47-42-59-64=\boxed{109^{\circ}}[/tex]
p and q are complex numbers such that |p|=7√3 and |p+q|=12√2. On what interval must |q| fall on?
The interval where |q| will fall will be[ 12√2−7√3,∞ ).
What are complex numbers?A complex number is an element of a number system that contains the real numbers and a specific element.
In this case, p and q are complex numbers such that |p|=7√3 and |p+q|=12√2. The interval where |q| will fall will be[ 12√2−7√3,∞ ).
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Solve question 11 for me please
Answer:
C
Step-by-step explanation:
-4x+2<6
-4x<4
x<-1
because the sign doesnt have a line under it, it is an open hole
Find the value of x and the measure of angleMNQ.
3x − 11°62°
The value of x is
90
° and the measure of angleMNQ is
180
°.
Answer:
180
Step-by-step explanation:
Find the value of x and the measure of angleMNQ.
3x − 11°62°
The value of x is
90
° and the measure of angleMNQ is
180
°.
what is pemdas? algebra 1
Answer:
p=Parentheses
e=Exponents
m=Multiplication
d=Division
a=Addition
s=Subtraction
its an order of solving a equation
which of the following is located over the center of the base of a regular pyramid
A vertex
B slant height
C face
D edge
Answer:
vertex
Step-by-step explanation:
The production supervisor at a particular office products company finds that it takes 3 hours to manufacture each table for one of its special dining room sets. Each
chair
takes 8 hours to manufacture. A total of 6000 hours is available to produce tables and chairs of this style. The linear equation that models this situation is
3x+8y=6000, where x represents the number of tables produced and y the number of chairs produced.
a. Complete the ordered pair solution (0.) of this equation. Describe the manufacturing situation that corresponds to this solution.
The ordered pair is (0…)
The ordered pairs of the equation are
0 tables, 750 chairs2000 tables. 0 chairsHow to find the ordered pairs of the equationThe equation is given as
3x + 8y = 6000
We have x = number of tables
y = number of chairs
When x = 0
3(0) + 8y = 6000
8y = 6000
y = 750
When y = 0
3x + 8(0) = 6000
3x = 6000
x = 2000
The ordered pairs of the products are:
0 table 750 chairs
200 tables, 0 chairs.
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