Answer:
Step-by-step explanation:
Generally an equation which will be true for all values of x have some statement which can be simplified into another state which will always be true.
So for example: [tex]x+4=x+4[/tex], is kind of a bit obvious to tell it's going to be true for all values as the two expressions have the same exact terms, but we can subtract "x" from both sides leading us to the statement: [tex]4=4[/tex] which is always true.
One important thing to note is you must be cautious at times, for example: [tex]\frac{x-2}{x-2}=\frac{x-2}{x-2}[/tex] may seem to be true for all values, and x-2 over x-2 is the same thing, so it simplifies to one and same thing on the right side: [tex]1=1[/tex] thus the statement should be true for all values right? Not completely, it's true for most values, except for x=2, and this is because 1=1 isn't exactly the same expression. In the original fraction the denominator has an x-2, and if we plug in x=2, we get 2-2 resulting in division by one, which of course isn't definable. So that's just one important thing to note as simplifying expressions may result in expressions that look equal, but are slightly different in a way.
Let U = {6, 7, 8, 9, 10, 11, 12}, A = {6, 7, 8, 9}, B = {6, 7, 10, 11}, and C = {8, 10, 12}. List all the members of the given set. (Enter your answers as a comma-separated list.)
A ∪ (B ∩ C)
On solving the provided question we can say that the sets are as
U = {6, 7, 8, 9, 10, 11, 12}, and z(180) = (180-185)/4 = -1.25
what is set?A mathematical representation of a variety of different things is called a set. Any type of mathematical object may be one of the elements or terms that make up a set. Symbols, numbers, lines, other geometric shapes, points in space, variables, and even other quantities. A proposition in mathematics is a structured group of items that can be expressed as a list or a proposition builder. Curly brackets are commonly used to identify sets. For instance, A = 1, 2, 3, 4 is a set. A set is essentially a group of items that are seen together. The items that make up a set are referred to as its members or elements. The components of a set may consist of any item, but for our purposes, they usually consist of mathematical objects like numbers, functions,
the sets are as
U = {6, 7, 8, 9, 10, 11, 12},
A = {6, 7, 8, 9},
B = {6, 7, 10, 11},
C = {8, 10, 12}
1){8,10}
2)z(180) = (180-185)/4 = -1.25
P(x < 180) = P(z < -1.25)
3)28c5
4)-4
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Use the given right triangle to find ratios, in reduced form, for sin A, cos A, and tan A.
The ration will be sinA =[tex]\frac{P}{H}[/tex] =[tex]\frac{33}{65}[/tex] , cosA = [tex]\frac{B}{H}[/tex]=[tex]\frac{56}{65}[/tex] & tanA = [tex]\frac{P}{B}[/tex]= [tex]\frac{33}{56}[/tex].
What are a right triangle's three sides?The hypotenuse of a right triangle is its longest side; its "opposite" side is the one that faces the angle in question; and its "adjacent" side is the one that faces it. We use particular terminology to define the sides of right triangles. A right triangle's hypotenuse is always side opposite the right angle.
Would a right triangle have a 90- or 180-degree angle?When one of a triangle's angles is exactly 90 degrees, the triangle is said to be right-angled. The remaining two angles together equal 90 degrees.. The sides that make up the right angle are perpendicular and the triangle's base. The third side, also referred to as the hypotenuse, is the longest of the three sides.
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Help pls Thank you mwa
Step-by-step explanation:
Same as the triangles. Find the area of the large rectangle and the small rectangle, then subtract.
A = L x W
For the large rectangle
A = 30 x 25 = 750
For the small rectangle
A = 26 x 21 = 546
Now to subtract these two
750 - 546 = 240
question 4 i need help with
Answer:
$3.00
Step-by-step explanation:
The drinks for the first family were 4, and the drinks for the second were 3. They were 2 numbers apart in price and so that means that they costed around $1. Minus a drink on the first to get $17.00. Now tell how far apart it is.
Complete the sentence below.
If (3x2 + 22x + 7) = (x + 7) = 3x + 1 , then (x + 7) ( ? )
＝?
The check of the polynomial division problem shows that the product of two polynomials is a polynomial.
This supports the fact that the __________ ?
property is satisfied for polynomial multiplication.
Need true or false answers
Given the set of statements according to the questions are:
1) 28 ∈ A - true.
2) 8 ∈ B - true.
3) 31 ∉ A - false.
4) 1 ∈ B - false
What is a set?
In mathematics, a set is a collection of distinct objects or elements that are grouped together as a single entity. The objects in a set can be anything: numbers, people, animals, colors, or even other sets. The elements of a set are usually enclosed in braces, {}.
By using the given data:
A = {28, 29, 30, 31, 32, 33, 34, 35};
B = The set of even numbers greater than or equal to 6 and less than or equal to 12
B = {6, 8, 10, 12}
Now lets find the answer
1) 28 ∈ A - 28 is present in set A hence, this statement is true.
2) 8 ∈ B - 8 is present in set B, hence this statement is true.
3) 31 ∉ A - 31 is present in set A, hence this statement is false.
4) 1 ∈ B - 1 is not present in set B, hence this statement is false.
Hence,
1) 28 ∈ A - true.
2) 8 ∈ B - true.
3) 31 ∉ A - false.
4) 1 ∈ B - false
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please help me, be quick!
The simplified value of the expression is [a² + b² - 2ab]/[2a²b² - ab³ - a³b]
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
1/(b² - ab) - 1/(ab - a²)
Take the LCM of the expression
So, we have the following representation
[ab - a² - b² + ab]/[(b² - ab)(ab - a²)]
Evaluate the like terms
So, we have the following representation
[2ab - a² - b²]/[(b² - ab)(ab - a²)]
Open the bracket
[a² + b² - 2ab]/[2a²b² - ab³ - a³b]
Hence, the solution is [a² + b² - 2ab]/[2a²b² - ab³ - a³b]
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A rectangular dog pen has an area of 384 sq yd. The width is 24 yd. How much does it cost to fence it if the cost for fencing is $9 per foot?
Answer:
$2160
Step-by-step explanation:
Area of a rectangle = Length * Width
A = L * W
Divide both sides by width
W/(A = L * W)/w
[tex]\frac{A}{W} = L[/tex]
Plug in values
[tex]\frac{384}{24} =16[/tex]
Multiply Length and width to find perimeter
2W + 2L = P
plug in values
2(24) + 2(16) = 80
Multiply perimeter by cost per foot
1yd = 3ft
80yd * 3ft = 240ft
240ft * $9 = $2160
Let A be an m×n matrix and let u be a vector in R^n that satisfies the equation Ax=0. Show that for any scalar c, the vector cu also satisfies Ax=0.[ That is, show that A(cu)=0.]
Using the distributive property of matrix multiplication A(cu) = 0, which implies that cu also satisfies the equation Ax = 0 for any scalar c.
We have given that Ax = 0, where A is an m × n matrix and x is an n-dimensional vector in Rn.
To show that A(cu) = 0 for any scalar c, we can use the distributive property of matrix multiplication, which states that A(B + C) = AB + AC for any matrices A, B, and C of appropriate dimensions.
Let us substitute cu for x in the equation Ax = 0, then we get:
A(cu) = A(c × u)
Using the distributive property, we can write:
A(c × u) = c × A(u)
Since u satisfies the equation Ax = 0, we have:
A(u) = 0
Substituting this into the above equation, we get:
c × A(u) = c × 0 = 0
Therefore, we have shown that A(cu) = 0, which implies that cu also satisfies the equation Ax = 0 for any scalar c.
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To build a new skate park, a community board must have at least 50% of the voters agree to the build. At a recent voters meeting, 125 voters were asked if they would vote for the new skate park and 72 responded yes. Should the community board go ahead and start planning the park?
No, they should not plan for the skate park because the sample had about 42.4% people vote no.
No, they should not plan for the skate park because the sample had about 57.6% people vote no.
Yes, they should plan for the skate park because the sample had about 42.4% people vote yes.
Yes, they should plan for the skate park because the sample had about 57.6% people vote yes.
The solution is Option D.
The skate park should be build as the percentage of votes was 57.6 %
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the percentage of votes be represented as A
Now , the skate park will be built if the percentage of votes is greater than 50 %
Now , the total number of voters = 125 voters
The number of voters who responded to building the park = 72 voters
Substituting the values in the equation , we get
A = ( number of voters who responded to building the park / total number of voters ) x 100
On simplifying the equation , we get
A = ( 72 / 125 ) x 100
A = 0.576 x 100
A = 57.6 %
And , A > 50 %
Therefore , they should plan for the skate park because the sample had about 57.6% people vote yes
Hence , the percentage of votes is 57.6 %
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consider the following: Point (3,5), and Line y-1=0. Write the slope intercept form of the equation of the line through the given point an parallel to the given line.
Step-by-step explanation:
please see the attached picture
our jobs are to be done on four different machines. The cost in rupees of
producing ith on the jth machine is given below. Assign the jobs to different machines
so as to minimise the total cost.
Jobs
M1
M2
M3
M4
J1
15
11
13
15
J2
17
12
12
13
J3
14
15
10
14
J4
16
13
11
17
The total optimal solution based on the information will be 49 rupees.
How to calculate the valueHere, four jobs and four machines are given, with the assignment matrix.
Find out the each row minimum element and subtract it from that row
Find out the each column's minimum element and subtract it from that column.
This assignment problem is being solved using Hungerian Method as the optimal solution is:
J1 to M2, J2 to M4, J3 to M1 and J4 to M3. The total optimal cost is:
= 11 + 13 + 14 + 11
= 49 rupees
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In how many ways 4-digits numbers can be formed using the digits 1,2,3,7,8,9 without repetition? How many of these are even numbers?How many of these are even numbers?
We can form 15 different 4-digit numbers using the digits 1, 2, 3, 7, 8, and 9, without repetition. Out of these, 30 are even numbers. We used the concept of combination to find these numbers.
Combination is a mathematical technique used to calculate the number of ways in which a group of objects can be selected from a larger set, without considering their order.
We can use the combination formula to find the total number of possible combinations:
C(4, 3) = 4! / (3! * 1!) = 4
This means that we can form four different 3-digit numbers using the digits 1, 2, 3, and 4, without repetition.
Now, coming back to our original problem, we need to form 4-digit numbers using the digits 1, 2, 3, 7, 8, and 9, without repetition. Using the same combination formula, we can find the total number of possible combinations:
C(6, 4) = 6! / (4! * 2!) = 15
This means that we can form a total of 15 different 4-digit numbers using the given digits.
Next, we need to find out how many of these numbers are even. An even number is a number that is divisible by 2, and in our case, this means that the last digit of the number must be either 2, 8, or a combination of 1 and 7.
To find the number of even 4-digit numbers, we can use the same combination formula, but this time we have to consider only 3 digits (2, 8, and a combination of 1 and 7) for the last digit:
C(3, 1) * C(5, 3) = 3 * 10 = 30
This means that we can form a total of 30 different 4-digit even numbers using the given digits.
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Which equation shows how to rewrite the sum of 42 and 54 using their greatest common factor?
Answer:69
Step-by-step explanation:
31+38=69
Number story that the answer will give me 1/4
Answer:
he division story will be that there are 16 boys who want to share 4 oranges. What fraction will each person get?
Number of boys = 16
Number of oranges = 4
Fraction that each person will get will be:
= Number of oranges / Number of boys
= 4/16
= 1/4
Each boy gets 1/4.
Step-by-step explanation:
Write a couple of paragraphs describing how you can determine the values of x that a) make
the rational function 0, and b) the values of x where the rational function is undefined:
f(x) = x²-2x+1
4x+5
The required paragraphs regarding with given expression f(x) = x²-2x+1/4x+5 have been explained later in the section.
A rational expression is a fraction in which the numerator and denominator are polynomials.
Here,
a) To determine the values of x that make the rational function f(x) equal to 0, we need to solve the equation:
x² - 2x + 1 = 0
Next, we can factor the quadratic on the left-hand side of the equation:
(x - 1)(x - 1) = 0
The quadratic is a perfect square, and we can see that it is equal to 0 when x = 1. So, the value of x that makes the rational function 0 is x = 1.
b) To determine the values of x where the rational function f(x) is undefined, we need to look for values of x that would make the denominator, 4x+5, equal to 0. If the denominator is equal to 0, then we would be dividing by 0, which is undefined.
So, we set the denominator equal to 0,
4x + 5 = 0
4x = -5
x = -5/4
Therefore, the value of x where the rational function is undefined is x = -5/4.
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help mee please i need help
Answer:
this hard
Step-by-step explanation:
Answer: C
Step-by-step explanation:
please help me :(
where are the vertical asymptotes for y = 6 tan(0.2x)?
Last question: Find the volume of a cylinder where the circular base has a diameter of 7km, and the height of the cylinder is 13.08km.
Note: Find the indicated volumes. Use 3.14 for pi and round your final results two decimal places as needed
Answer:
503.1222
rounded: 503.12
Find the length of the dashed line in the
circle.
The length of the dashed line in the circle is
ft.
4.893 ft
9
17.708 ft →
4.893 f
The length of the dotted line would be 7.922 ft.
What is the diameter of the circle?A circle's diameter is measured from the center of the circle outward. It is equivalent to twice the radius, or the distance a circle's radius is measured from its center to any other point on the circle.
The mathematical formula for a circle's diameter is d = 2r if d is the circumference and r is the radius.
When we subtract the circle's thickness from its outer diameter to determine the provided circle's inner diameter, we obtain q = 17.708 - 4.893 - 4.893.
We can solve this for q = 7.922
The dotted line would be 7.922 feet long as a result.
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What is the solution to this inequality 6 - 5y < -34
Answer: y > 8
Step-by-step explanation:
6 - 5y < -34
-5y < -40
y > 8
[tex]6-5y < -34[/tex]
Simplify:
[tex]-5y+6 < -34[/tex]
Subtract 6 from both sides:
[tex]-5y+6-6 < -34-6[/tex]
[tex]-5y < -40[/tex]
Since we are dividing by a negative number, the sign will reverse.
Divide both sides by -5:
[tex]\dfrac{-5y}{-5} > \dfrac{-40}{-5}[/tex]
[tex]\boxed{y > 8}[/tex]
Can someone please help me with 83? What is A? full explanation please. Offering lots of points
Answer: A = 5
Step-by-step explanation:
So, we are given a function, with a point: we can substitute (x,y) from the coordinate into x and f(x) in the function. (recall that f(x) is just a fancy way of saying y).
so:
[tex]-1 = \frac{2(0) + 5}{0 - A}[/tex]
[tex]-1 = \frac{5}{-A}[/tex], (we can drop the negative sign from both sides here)
[tex]\frac{5}{5} = \frac{5}{A}[/tex], (recall 1 = x/x where x is literally any number)
hence we can see that A = 5
Ask questions in the comments if this doesn't make sense :)
The function represented by the data in the table could
model the perimeter of a square whose area is x.
Explain how the function in the table models this
relationship. Be sure to identify how the function
represents area, perimeter, and the length of a side. Then
generalize the pattern in the table.
Type your response in the box.
Note that the pattern in the table is that the perimeter of a square with area x is four times the square root of x. We can express this relationship as:
f(x) = 4 * √(x)
What is the rationale for the above response?We know that the area of a square is calculated as the square of its side length, which means that the side length of a square with area x is the square root of x. Therefore, the length of the side of the square can be expressed as:
s = √(x)
To calculate the perimeter of the square, we simply add up the lengths of all four sides:
P = 4s = 4 * √(x)
So, the function f(x) in the table represents the perimeter of a square with area x, which can be calculated using the equation:
f(x) = 4 * √(x)
To verify this, let us take these examples:
when x = 1, the area of the square is 1, and the side length is 1. Therefore, the perimeter of the square is 4 * 1 = 4, which matches the value in the first row of the f(x) column.when x = 4, the area of the square is 4, the side length is 2, and the perimeter of the square is 4 * 2 = 8, which matches the value in the second row of the f(x) column, and so on.Learn more about Square Roots:
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this problem is very confusing pls help me, I will give brainliest
The required value of the trigonometric function is sin (α - β) = - 10.96/15.
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
The trigonometric ratios are given in the question, as follows:
sin α = -2/5 and cos β = -1/3
So cos α = √1 - (-2/5)² = √(1 - 4/25) = √21/5
And sin β = √1 - (-1/3)² = √(1 - 1/9) = √8/3
We have to determine the value of sin (α - β).
According to trigonometric identity,
sin (α - β) = sinα cos β - cos α sin β
Substitute the values of sin α = -2/5 and cos β = -1/3,
sin (α - β) = (-2/5)( -1/3) - (√21/5)(√8/3)
sin (α - β) = 2/15 - (√21×8)/15
sin (α - β) = 2/15 - (√168)/15
sin (α - β) = 2/15 - 12.96/15
sin (α - β) = - 10.96/15
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tyrone runs 1 1/4 miles in 8 1/2 minutes how many miles can he run in 20 minutes
Answer:
2 [tex]\frac{16}{17}[/tex] miles
Step-by-step explanation:
[tex]\frac{miles}{minutes}[/tex] = [tex]\frac{miles}{minutes}[/tex]
[tex]\frac{1 1/4}{8 1/2}[/tex] = [tex]\frac{x}{20}[/tex]
1 [tex]\frac{1}{4}[/tex] is the same as [tex]\frac{4}{4}[/tex] + [tex]\frac{1}{4}[/tex] (1 = [tex]\frac{4}{4}[/tex] )
8 [tex]\frac{1}{2}[/tex] is the same as [tex]\frac{2}{2}[/tex] + [tex]\frac{2}{2}[/tex] + [tex]\frac{2}{2}[/tex] + [tex]\frac{2}{2}[/tex] + [tex]\frac{2}{2}[/tex] + [tex]\frac{2}{2}[/tex] + [tex]\frac{2}{2}[/tex] + [tex]\frac{2}{2}[/tex] + [tex]\frac{1}{2}[/tex] = [tex]\frac{17}{2}[/tex] (1 = [tex]\frac{2}{2}[/tex])
[tex]\frac{\frac{5}{4} }{\frac{17}{2} }[/tex] = [tex]\frac{x}{20}[/tex]
[tex]\frac{17}{2}[/tex] x = 20 multiply both sides by [tex]\frac{2}{17}[/tex]
[tex]\frac{2}{17}[/tex] [tex](\frac{17}{2})[/tex]x = [tex]\frac{2}{17}[/tex][tex](\frac{20}{1})[/tex]
x = [tex]\frac{40}{17}[/tex]
[tex]\frac{5}{4}[/tex] [tex](\frac{40}{17})[/tex] = x
[tex]\frac{50}{17}[/tex] or 2 [tex]\frac{16}{17}[/tex]
A block is 75cm× 40cmx50cm .how many cubes of side 0.1 m can be carved out it
Answer: 150 Cubes.
Step-by-step explanation:
Volume of cuboid is l*b*h, Volume of cube is S^3.
= 75*50*40 = 1,50,000 CM, = 0.1m= 10cm^3= 1000
No of cubes in one cuboid= volume of cuboid/volume of cube
1,50,000/1000= 150 cubes.
As manager for a construction firm, you are in charge of bidding on two large contracts. You believe the probability you get contract #1 is 0.4. If you get contract #1, the probability you also get contract #2 will be 0.3, and if you do not get #1, the probability you get #2 will be 0.5. Complete parts (a) through (c).
Question content area bottom
Answer: a) Calculate the probability of getting both contracts:
The probability of getting both contracts is given by P(Contract 1 and Contract 2) = P(Contract 1) * P(Contract 2|Contract 1) = 0.4 * 0.3 = 0.12
b) Calculate the probability of getting either contract:
The probability of getting either contract is given by P(Contract 1 or Contract 2) = P(Contract 1) + P(Contract 2) - P(Contract 1 and Contract 2) = 0.4 + 0.5 - 0.12 = 0.78
c) Calculate the probability of not getting either contract:
The probability of not getting either contract is given by P(Neither Contract) = 1 - P(Contract 1 or Contract 2) = 1 - 0.78 = 0.22.
So, there is a 22% chance that the construction firm will not get either contract.
Step-by-step explanation:
brainliest answr quick tho
Answer:
BL
Step-by-step explanation:
because it goes in both directions infintely
Hi there, here's your answer:
To find the answer to this question, let us review all the options given in the question.
a) BL
BL being two ends of a given line that extends infinitely along its axis, forms a line.
b) GK
GK being two distinct lines do not join and hence do not form an independent line.
c) EB
E being a point on the line BL and B being one end of a larger line form a ray.
d) HI
HI being two points on a line GJ form a line segment, which is finite and has definite end points.
Thus, the answer to this question is (a).
Hope it helps! Please mark as Brainliest!
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
11
24
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.
The value of x is 12. The solution has been obtained by using trigonometry.
What is trigonometry?
The primary objective of the branch of mathematics known as "trigonometry" is the study of the sides, angles, and connections of the right-angle triangle. The angles of 0, 30, 45, 60, and 90 degrees are the most typical trigonometric angles to be utilised in computations.
We are given a right - angled triangle with one angle equal to 24° and the length of the base is 11.
Using trigonometry,
We know that cos theta = adjacent side/hypotenuse
So,
⇒cos θ = 11/x
Here, θ = 24°
So,
⇒cos 24° = 11/x
⇒x = 11/cos 24°
⇒x ≈ 12.04
⇒x ≈ 12
Hence, the value of x is 12.
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Scientists plan to use selective breeding to produce a new type of wheat for farmers who live in northern areas with short summer seasons. Which of these traits would be most useful for these farmers?.
The trait would be MOST useful for these farmers is to be considered as the fast growth rate.
What is a scientist's plan?The main goal of science that should create knowledge and understanding.
Since the plan for using the breeding to produce a new type for the wheat for farmers that lived in the northern areas.
The growth rate of a value (GDP, turnover, wages, etc.) measures its change from one period to another (month, quarter, year). It is very generally expressed as a percentage.
The annual average rate of change of the gross domestic product (GDP) at market prices based on constant local currency, for a given national economy, during a specified period of time.
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