Answer:
What's the question?
Step-by-step explanation:
If the groub A= {-3} then IAI equals?
The value of given set in modulus function IAI = 3.
What is termed as modulus function?A modulus function returns the magnitude of such a number regardless of its sign. It's also recognized as the absolute value function.
The modulus function, signified by |x| in mathematics, gives the modulus of such a real number x. It returns a non-negative value for x. The modulus as well as absolute value of a number too is known as the number's distance from the origin or zero.The modulus function's value is always non-negative. That unless f(x) is a modulus function, we get:
For x is positive, the value of f(x) = xFor x = 0, the value of f(x) = 0For x < 0, the value of f(x) = -xNow, as per the given question;
Groub A= {-3}
Estimate the IAI
IAI = I-3I
By the property of modulus function.
IAI = 3 (absolute value)
Therefore, the value of IAI is 3.
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12+18×4+6-4 =
A 16
B 20
C22
ID 23
Please help am in class need soon
Find the perimeter of triangle ABC. Found your answer to two decimal places.
Perimeter ABC=
The Perimeter of a triangle ΔABC is 27.68
Given ABC be triangle having vertices A(-2, -1), B(4, 3), C(-5, 7)
We need to find the perimeter of a triangle as
Perimeter of a triangle ΔABC = AB + BC +CA
Now we need to find distances as
D = √ (x₂ - x₁)² + ( y₂ - y₁ )²
AB = √ (4 - (-2))² + ( 3 - (-1) )²
= √ ( 4 + 2 )² + ( 3+1 )²
= √ (6)² + (4)²
= √ 36 + 16
= √ 52
= 7.21
BC = √ ((-5) - (4))² + ( 7 - (3) )²
= √ (-5 -4 )² + ( 7-3 )²
= √ (-9)² + (4)²
= √ 81 + 16
= √ 97
= 9.84
AC = √ ((-5) - (-2))² + ( 7 - (-1) )²
= √ (-5 -2 )² + ( 7+1)²
= √ (-7)² + (8)²
= √ 49 + 64
= √ 113
= 10.63
Perimeter of a triangle ΔABC = AB + BC +CA
= 7.21 + 9.84 + 10.63
= 27.68
Therefore, the Perimeter of the given triangle ΔABC = 27.68
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A person can order a new car with a choice of 12 possible colors, with or without air conditioning, with or without automatic transmission, with or without power windows, and with or without a CD player. In how many different ways can a new car be ordered with regard to these options?
Answer:
96
Step-by-step explanation:
12 colors times 2 possibilities of with or without air conditioning is 24.
24 times two possibilities of with or without automatic transmission is 48.
48 times two possibilities of with or power windows is 96.
96 times two possibilities of with or CD player is 192.
ƒ(x) = −3x² + 3x
Find f (8)
Answer:
-168
Step-by-step explanation:
-3(8)^2+(3)(8)
(-3)(64)+(24)
-192+24
-168
Grady's father is building a 15-meter fence with the start of the fence at coordinates(8, 5) and the midpoint of the fence at coordinates(3.5, -1) . What are the coordinates of the other end of the fence?
Based on the calculations, the coordinates of the other end of the fence are equal to (-1, -7).
What is a line segment?A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.
How to determine the coordinates of the other end of the fence?In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).
Midpoint on x-coordinate is given by:
xm = (x₁ + x₂)/2
3.5 = (8 + x₂)/2
Cross-multiplying, we have:
7 = 8 + x₂
x₂ = 7 - 8
x₂ = -1.
Midpoint on y-coordinate is given by:
ym = (y₁ + y₂)/2
-1 = (5 + y₂)/2
Cross-multiplying, we have:
-2 = 5 + y₂
y₂ = -2 - 5
y₂ = -7.
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The regular pentagon shown is rotated clockwise about center point P.
●P
Choose all degrees of rotation that will carry the regular pentagon onto itself.
A. 72°
B. 90°
C. 108°
D. 144°
E. 216°
Answer:
A. 72°
D. 144°
E. 216°
Step-by-step explanation:
are you tempted to calculate the internal angles ?
that is, I guess, the trap set by your teacher here, and it would be the wrong approach.
nevertheless, quickly just as a reminder :
the sum of all internal angles in a polygon is
(n - 2)×180°
n being the number of sides.
in our case that is
(5 - 2)×180 = 3×180 = 540°
so, each internal angle is 540/5 = 108°.
but we are not turning at an edge or vertex. no, we are turning the pentagon around is central point.
we are running each vertex along a circle arc. the center of that circle being P.
after every 1/5 of the circle arc there is a vertex of the pentagon.
and whenever we rotate one vertex on top of the next one, we carry the pentagon visually onto itself.
so, instead of a full circle rotation we need only 1/5 of that :
360 / 5 = 72°
and with every additional 1/5 of the circle arc (or 72°) we get it again.
that means at
72°
144°
216°
288°
360°
the pentagon carries onto itself.
therefore, A, D and E are correct.
URGENTTTT PLEASE ANSWERS Distance between two points whats the distance between the following points?
A. 12
B. 13
C. squareroot of 36
D. squareroot of 97
Answer: B
Step-by-step explanation:
Write 8,350,000,000 in scientific notation.
8.35 × 10−9
8.35 × 109
835 × 10−7
835 × 107
When the number, 8,350,000,000 is written in scientific notation, it would be 8.35 × 10⁹.
How to write in scientific notation?When you write in scientific notation, you would be reducing a number from having any number of digits to the left of the decimal to the number having a single digit to the left of the decimal.
You would then multiply it by 10 raised to the power of the number of digits that were before the decimal which are now after it.
In this case, 8,350,000,000 in scientific notation would be:
= 8.35 × 10⁹
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2/3 miles in 10 mins what distance traveled in an hour
Answer
4 miles
Step-by-step explanation:
The distance traveled in an hour if a person travels at 2/3 miles in 10 mins is 4 miles.
In order words, the total distance which is travelled in one hour if a person travels a journey of 2/3 miles in 10 mins is 4 miles.
RatioThe ratio of the parameters given from the above is given below:
2/3 miles in 10 mins
Convert hour to minutes:
1 hour = 60 minuteslet
Distance travelled in an hour = xEquate ratio of distance to time taken
2/3 : 10 = x : 60
2/3 ÷ 10 = x / 60
2/3 × 1/10 = x/60
2/30 = x/60
cross product2 × 60 = 30 × x
120 = 30x
divide both sides by 30x = 120 / 30
x = 4 miles
Therefore, the distance traveled or covered in an hour if a person travels at 2/3 miles in 10 mins is 4 miles.
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(a)-534° is found in quadrant
Answer: Quadrant 3
Step-by-step explanation:
Hard to explain.
help asap question in picture
[tex] \: \Large \mathbb{SOLUTION:}[/tex]
[tex] \: \: \rm{ \bigg( - \frac{5}{3} \bigg) {}^{2} } \\ [/tex]
[tex] \: \: \text{Determine the sign for exponential or radical expreasions}[/tex]
[tex] \: \: \rm{ \bigg( \frac{5}{3} \bigg) {}^{2} } \\ [/tex]
[tex] \: \: \text{Calculate the power}[/tex]
[tex] \: \: \rm \boxed{ \frac{25}{9} } \\ [/tex]
[tex] \frac{25}{9} \\ [/tex]
Solution:Determine the sign
[tex]( -\frac{5}{3} ) {}^{2} [/tex]
[tex]( \frac{5}{3} ) {}^{2} [/tex]
[tex] \frac{5 {}^{2} }{3 {}^{2} } \\ [/tex]
[tex] \frac{25}{3 {}^{2} } \\ [/tex]
[tex] \frac{25}{9} \\ [/tex]
your hourly wage of $15 differs from the average by less than or equal to $5
The mathematical expression of the statement is x - 15 <= 5
How to determine the mathematical expression?The statement is given as:
Hourly wage of $15 differs from the average by less than or equal to $5
Let the average hourly wage be x
So, we have:
Hourly wage of $15 differs from the average = x - 15
less than or equal to $5 => <=5
So, the expression is
x - 15 <= 5
Hence, the mathematical expression of the statement is x - 15 <= 5
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A movie company spent $12,000,000 making a feature film. If tickets to see the movie cost $8.00 each, determine the number of tickets that must be sold in order for the company to break even
Answer: They will need to sell 1,500,000 to break even.
12,000,000 / 8 is 1,500,000
You are in charge of drinks for a community barbecue. You need to supply at least 120 cups of
beverage to provide enough for the projected number of people that will attend. So far, you have
received the following donations:
o Enough mix to make 4 gallons of lemonade
o 7 bottles of fruit juice that each contain 64 fl. oz.
How many cups of beverage do you have?
Will you have enough for the barbecue?
O no
O yes
You have 120 cups. The cups of beverage will be enough.
Will the cups be enough?In order to determine the cups of beverage I have, the first step is to convert gallons and oz to cups.
1 gallon = 16 cups
16 x 4 = 64 cups
1 fluid ounce = 0.125 cups
64 x 0.125 x 7 = 56 cups
Total cups you have = 56 + 64 = 120 cups
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A bowl weighs 11/40 pound.
a. Express this weight as a decimal.
b. Explain how you can find the decimal by thinking of the denominator as a 4 and using mental math.
The weight as a decimal will be 0.275.
The way to fins the decimal using mental maths is to believe that it's 1/4.
How to compute the value?It should be noted that the information given is that we should convert 11/40 t decimal.
This simply means to divide and the answer is 0.275.
Also, the way to find the decimal using mental maths is to believe that it's 1/4.
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A large juice jug holds the equivalent of 10 drinking cups: 4 jugs hold 189 ounces more than 13 drinking cups. How many ounces does a cup hold? Find the given, unknown, known, and solve
The one cup holds 7 ounces of juice.
According to the statement
We have to find that the How many ounces does a cup hold.
So, For this purpose, we know that the
A quantity is a property of some object or collection of objects that is measurable.
From the given information:
A large juice jug holds the equivalent of 10 drinking cups: 4 jugs hold 189 ounces more than 13 drinking cups.
Let the amount held by a cup be y ounces.
So the large jug holds 10y ounces.
4 jugs hold 189 ounces more than 13 cups
4*10y=189+13y
40y-13y=189
27y=189
y=7
A cup holds 7 ounces.
So, The one cup holds 7 ounces of juice.
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For each of the right triangles, determine the measure of the missing side. Leave the measures in
exact form if irrational.
(if u can please show the work so i can get a better understanding)
Using the Pythagorean theorem, the missing sides are:
1. 5
2. 13
3. √15
4. 3
How to Apply the Pythagorean Theorem?The Pythagorean theorem is given as: c² = a² + b², where c is the longest side and a and b are the other two legs.
1. Missing side = √(3² + 4²) [Pythagorean theorem]
Missing side = 5
2. Missing side = √(12² + 5²) [Pythagorean theorem]
Missing side = 13
3. Missing side = √(4² - 1²) [Pythagorean theorem]
Missing side = √15
4. Missing side = √((√10)² - 1²) [Pythagorean theorem]
Missing side = √(10 - 1) = √9
Missing side = 3
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Solve AGHI. Round the answers to the nearest hundredth.
A. m/Gs 61.93°, m1s 28.07°, HI = 15
B. m/Gs 28.07°, m/1 61.93°, HI = 18.79
C. m/Gs 61.930, m1 28.07°, H/= 18.79
D. m/G 28.07°, m/1 61.93°, HI = 15
Is this statement true ?
The price of tuition has quadrupled since my parents went to school that's a 300% increase in price.
Answer:
no
Step-by-step explanation:
quadruple means by 4, so it would be 400%
What number is under the fraction bar
Answer:
Denominator
Step-by-step explanation:
The Denominator is under the fraction bar. The numerator is above the bar
Answer:
Denominator
Step-by-step explanation:
Denominator: The number below the fraction bar in a fraction; it tells the total number of equal parts.
I hope this image helps.
Side KN of figure KLMN is parallel to side LM. Figure KLMN is rotated 90 degress clockwise about Point P to produce Figure RSTU. Based on this information, select all statement that are true.
The figure KLMN is being rotated by 90°, which is a rigid transformation, the true statements are therefore;
(D) Figure RSTU is congruent to figure KLMN
(E) [tex] \angle T[/tex] is the same measure as [tex] \angle M[/tex]
How can the similarities between the two figures following the rotation be found?The given parameters are;
In KLMN, KN||LM
The transformation applied to figure KLMN = A 90° clockwise rotation about point P.
The image of KLMN following the rotation transformation is Figure RSTU.
Please find attached a drawing of the possible diagram in the question obtained from a similar question online.
The options from the question are;
(A) [tex] \overline{ST}[/tex] is parallel to [tex] \overline{RU}[/tex]
(B) [tex] \angle R[/tex] is the same measure as [tex] \angle N[/tex]
(C) [tex] \overline{RS} [/tex] is the same length as \overline{MN}
(D) Figure RSTU is congruent to figure KLMN
(E) [tex] \angle T[/tex] is the same measure as [tex] \angle M[/tex]
A rotation transformation is a rigid transformation, therefore;
The distances between any two points on the pre–image is the same as the distance between corresponding points on the image, which gives;
Figure KLMN [tex] is congruent to [/tex] Figure RSTU
Figure KLMN [tex] \cong [/tex] Figure RSTU
According to the postulate, Corresponding Angles of Congruent Figures are Congruent, we have;
[tex] \angle T \cong \angle M[/tex]
Which gives;
[tex] \angle T[/tex] = [tex] \angle M[/tex]
[tex] \angle T[/tex] is the same measure as [tex] \angle M[/tex]
The correct options are therefore;
(D) Figure RSTU is congruent to figure KLMN
(E) [tex] \angle T[/tex] is the same measure as [tex] \angle M[/tex]
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Set B = {a,b,c,d} and Set C = { b,d,f,g}. Find B u C.
Answer:
do ur best
Step-by-step explanation: somebody else might can help u
Do children weigh 160 pounds together the oldest weighs 120lbs more how much do they each weigh
Answer:
One child weighs 120lbs, and the other weighs 40lbs.
Step-by-step explanation:
Assuming that you meant "Two" instead of "Do", there are two children that weigh 160 pounds together. If we know that one child weighs 120lbs more, we know that the other child has to weigh 40lbs using the equation below where x represents the weight of the second child:
120 + x = 160
Subtract 120 from both sides
x = 40
FINAL ANSWER: One child weighs 120lbs, and the other weighs 40lbs.
If the number 12,345x is divisible by 11, the lest digit of x must be....
Answer:
The last digit you multiplied by.
Step-by-step explanation:
It's not that hard, but here you go :)
If you multiplied 12 by 11 you would get 2 as your last digit, because 2 is the last digit of 12. (12x11=132)
So for 123 by 11, following this pattern, 3 is the last digit of 123 so the answer must end in 3. (123x11=1353)
If you still don't get the pattern I'll give you a few more examples here:
If you multiply 1234 by 11 you would get a number ending in 4 because the last digit of 1234 is 4! (1234x11=13574)
So what would be the last digit of 12345?
Hope this was helpful!
(The answer was 5 btw)
x=b/4 = c solve for x
To solve for x, the given equation will be transformed as x = c - b/4
What is the equation?
A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions in order to express their equivalence. The meanings of the (one or more) word equation and its cognates in various(different) languages can vary slightly. For instance, an equation in French is described as having one or more variables, whereas, in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign. Finding the values of the variables that result in equality is the first step in solving a variable equation. The variables for which the equation must be solved are known as unknowns, and the unknown values that fulfill the equality are known as the equation's outcomes. Individual equations and conditional equations are the two types of equations.Given that,
x-b/4 = c
To solve for x, the given equation will be transformed as-
x = c - b/4
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Given that the curves are formed from
quarter circles,
find the area of the shaded region.
Give your answer in terms of TT.
4m
4m
The diagram is not drawn to scale
The area of the shaded region is 8π-16.
The side of the square is 4 m. Imagine a diagonal of the given square, which divides the shaded region into two equal parts due to symmetry. The radius of the quarter circle formed by one of the arcs and the two sides of the square is 4 m. The area of the quarter circle = 1/4πr²The area of the quarter circle = 1/4π4²The area of the quarter circle is 4π m². The diagonal and the two adjacent sides of the square form a right-angled triangle with a base of 4 m and a height of 4 m. The area of the triangle is 1/2*base*height. The area of the triangle is 1/2*4*4. The area of the triangle is 8 m². The area of the shaded region bisected by the diagonal = Area of quarter circle - Area of triangleThe area of the shaded region bisected by the diagonal = 4π-8 m²The area of the shaded region is twice the area of the shaded region bisected by the diagonal. The area of the shaded region = 2 * (4π-8)The area of the shaded region is 8π-16 m².To learn more about area, visit :
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. The sides of a rectangle are (x+1) and (2x +5). If the perimeter is 36m, Find the value of x
Enter your answer as a proper fraction, or mixed number.
Answer:
3/14
Step-by-step explanation:
Answer:
3/14
Step-by-step explanation:
For the equation, find three ordered pair solutions by completing the table. Then use any two of the ordered pairs to graph the equation.
For the linear function y = 0.5x. three ordered pairs are given as follows:
x = 0, y = 0.x = 2, y = 1.x = -2, y = -1.Using points (-2,-1) and (2,1), the graph of the function is given at the end of the problem.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, the function is:
y = 0.5x.
Hence three pairs of points are given as follows, replacing the value of x in the equation to find y.
x = 0, y = 0.x = 2, y = 1.x = -2, y = -1.The graph of the function is given at the end of the answer.
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