The sets of P is a subsets of the universal sets.
How to solve sets?Sets are defined as the collection of objects whose elements are fixed and can not be changed.
In other words, a set is a collection of elements or numbers or objects, represented within the curly brackets { }. For example a collections of alphabets {a, b, c, d, e, f, g, h}
Therefore, universal set (usually denoted by U) is a set which has elements of all the related sets, without any repetition of elements.
Hence,
universal set = ∪ = {1,2,3,4,5,6,7,8,9,10}
Therefore,
P = {1,3,5,7,9}.
P is a subsets of the universal sets.
The subsets is a part of the universal set.
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Find the compound amount and interest on 40,000 naira at 15% for 2 years
Answer: 52900 Naira
Step-by-step explanation:
1) Use the equation A = P(1+r/n)^nt
A = Ammount
(Starting Cash) P = 40,000
(Intrest rate) R = 15%
(Number of periods) n = N/A
(Time) t = 2
2) Make an equation
A = 40,000(1+15%)^2
3) Solve the equation.
A = 40,000(1+0.15)^2
A = 40,000(1.15)^2
A = 40,000(1.3225)
A = 52900
Clare follow the same workout cycle each time she goes to the gym. First, she runs for 1/3 of an hour. Then, she lifts weights for 1/6 of an hour. If Clare has 1 1/2 hours to spend at the gym, how many times can she go through her workout cycle?
Clare can go 3 times for her workout cycle
How to calculate the number of work out cycle ?Clare follows the same workout cycle each time she goes to the gym
She spends 1 1/2 hour at the gym
First, she runs 1/3 of an hour
After that, she lifts 1/3 of an hour
The first step is to convert to minutes
60 mins = 1 hour
1/2 × 60
= 30
30 + 60
= 90 mins
convert 1/3 to mins
1/3 × 60
= 20 mins
convert 1/6 to mins
1/6 × 60
= 10 mins
Total mins= 20 + 10
= 30 mins
The number of workout cycles can be calculated as follows
= 90/30
= 3
Hence Clare can go 3 times for her workout cycle
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Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the
probability of x successes given the probability p of success on a single trial. Round to three decimal places.
n = 6, X = 3, p = 1/6
Probability of x successes given the probability p of success on a single trial is 0.0154.
What is binomial probability?When a process is repeated a certain number of times (for example, in a set of patients), the result for each patient can either be a success or a failure, the binomial distribution model enables us to calculate the probability of witnessing a defined number of "successes." In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p.
Given Data
n = 6
X = 3
p = [tex]\frac{1}{6}[/tex]
Binomial distribution
P(X = x) = ₙCₓ(pˣ)(qⁿ⁻ˣ)
ₙCₓ =[tex]\frac{n!}{(n-x)!x!}[/tex]
P(X = 3) = ₃C₄(0.1667³)(1-0.1667)¹
P(X=3) = 0.0154
Probability of x successes given the probability p of success on a single trial is 0.0154.
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Question
Given that the terminal side of angle 0 goes through the point (-4, 3), find csc(0).
Answer: -4/3
Step-by-step explanation:
[tex]\csc \theta=\frac{1}{\sin \theta}=\frac{1}{-3/4}=-4/3[/tex]
Are these rational numbers?
1) -1098.15
2) -2,784.75
Yes, these -1098.15 and -2,784.75 are rational numbers.
Rational number is the one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively
What is a rational numbers?A rational number is the one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively. Every integer (e.g., 5 = 5/1) and, for instance, the number 3/7 are rational numbers. Boldface Q, also known as blackboard bold, is typically used to signify the set of all rational numbers, also known as "the rationals," the field of rationals, or the field of rational numbers.
Real numbers are those that are sensible. The rational real numbers are those whose decimal expansion either ends after a finite number of digits (for instance, 3/4=0.75) or eventually starts to repeatedly repeat the same finite sequence of digits (9/44=0.204545454). This assertion is accurate not just in base 10, but also in every other integer base, such as the binary and hexadecimal ones
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Question 1 options:
Is the relation in this set of points a function?
{(-2, 6) , (4, 5) , (3, -3) , (6, 9), (4, -4)}
State whether the statement is true of false.
1. The relation is a function.
2. An element from the domain is paired with more than one element from the range.
Answers:
FalseTrue================================================
Explanation:
Focus on (4,5) and (4,-4)
The input x = 4 leads to simultaneous outputs y = 5 and y = -4 at the same time. This is not allowed in a function. For a function to be possible, each input x must lead to exactly one y output.
Therefore, this given relation is not a function.
-----------
Domain = set of possible x inputs
Range = set of possible y outputs
The statement "An element from the domain is paired with more than one element from the range" basically means we have an x value paired with more than one y value. Therefore, this statement is true since I mentioned (4,5) and (4,-4) earlier.
Answer:
This answer is correct!
Translate the sentence into an equation.
Four more than the quotient of a number and 8 equals 9.
Use the variable x for the unknown number
Answer:
(x / 8) + 4 = 9
Step-by-step explanation:
follow the instructions of the question and then write the values
Where is the function f(x) = 2/6x^3 not differentiable?
at X= 0 the function f(x) = 2/6x^3 is not differentiable
Since 1/0 cannot be differentiated and the denominator will become zero when x=O, the function is not defined. Sharp points, cusps, and discontinuities in the graph indicate that a function is "not differentiable." Additionally, it implies that at that same location, we can draw an endless number of tangents. There is therefore no special tangent at that place. Even at x=0, the provided function is not defined. (If you plug in x=0, you get (1/0), which is undefined and leaves you with nothing to do.)) Only after a function is clearly defined at a certain moment do we discuss its continuation. And only if the function is continuous at the place do we talk about differentiability.
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I really need help with number 3
3.To find:
The right angle congruence theorem is used to prove that two triangles are congruent.
Solution:
In the given triangles, the corresponding hypotenuse and the corresponding angle are equal. So, the congruence used here is the Hypotenuse-Angle congruence that implies ABC is congruent to DEF.
Thus, the answer is Hypotenuse-Angle congruence.
fill in the missing number to form equivalent fraction
20/?=?/6=10/?=?/900=8/12
Missing numbers are 30, 4, 30 and 300.
What is equivalent fraction?Equivalent fractions are those that, despite their visual differences, reflect the same value. You will have consumed half of a cake, for instance, if you have one, divide it into two equal pieces, and then eat one of the pieces. Two or more fractions that are equal despite having dissimilar numerators and denominators are said to be equivalent. Every time, the fraction is written as "one half" in its simplest form.
Given Data
20/?=?/6=10/?=?/900=8/12
Fraction which is given
[tex]\frac{8}{12}[/tex]
= [tex]\frac{2}{3}[/tex]
As they are equivalent fraction, so their simplest form will be equal
Let the missing numbers be x
1) [tex]\frac{20}{x}[/tex]
= [tex]\frac{20}{30}[/tex]
2) [tex]\frac{x}{6}[/tex]
= [tex]\frac{4}{6}[/tex]
3) [tex]\frac{10}{x}[/tex]
= [tex]\frac{10}{30}[/tex]
4) [tex]\frac{x}{900}[/tex]
= [tex]\frac{600}{900}[/tex]
Missing numbers are 30, 4, 30 and 300.
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Sades dinner cost $30 she had a coupon to save 40% off the price of the
dinner
Answer:
The dinner costs $18
Step-by-step explanation:
30x0.40=discount
discount=12
30-12=dinner price
dinner price=$18
Which graph represents the solution to the inequality 2(b + 2) < 24?
number line with open point at 10 with arrow pointing left
number line with closed point at 10 with arrow pointing left
number line with closed point at 10 with arrow pointing right
number line with open point at 10 with arrow pointing right
The solution to the inequality shows that the circle will be on 10 and pointing to the left.
Solving inequalityInequality are expressions not separates by an equal sign.
Given the inequality expression below:
2(b + 2) < 24
Expand
2b + 4 < 24
2b < 24 - 4
2b < 20
Divide both sides by 2
2b/2 < 20/2
b < 10
Hence the number line with open point at 10 with arrow pointing left.
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What’s the answer to this question
The value of (fg)(6) is -6x³ + 72x² + 72x - 864 after doing the mathematical operations.
What do we mean by mathematical operations?A mathematical function called an operation, also known as an "operand" or "argument," transforms zero or more input values into a precisely defined output value.The quantity of operands affects the operation's arity.The operations that are most frequently studied are unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, and binary operations (i.e., operations of arity 2), such as addition and multiplication.An operation of arity zero also referred to as a nullary operation, is a constant.The mixed product is an illustration of an operation of arity 3, also referred to as a ternary operation.So, f(x) = x² - 12 and g(x) = 12 - x.
Then, (fg)(6) will be:
[(x² - 12)(12 - x)]6[x²(12 - x) - 12(12 - x)]6[12x² - x³ - 144 + 12x]6-6x³ + 72x² + 72x - 864Therefore, the value of (fg)(6) is -6x³ + 72x² + 72x - 864 after doing the mathematical operations.
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Find the angle measures of the inscribed quadrilateralm
In an inscribed quadrilateral, the sum of the opposite angles are always equal to 180 degrees
so that
10z +
(14z-7) + 8z = 180 degrees-------------(2)
From equation (2)
14z+8z= 180+7
22z = 187
22z/22 = 187/22
z= 8.5
From equation (1) and substituting for z
10(8.5) + 85 +
The table below represents an exponential function, g, that has been vertically shifted from the parent function, f(x) = 2x.
x 0 1 2 3 4
g(x) -11 -10 -8 -4 4
Determine the size of the shift from function f to function g. Then, plot the points of a function that is shifted only half as much as g from the parent function, f. Use the same x-values as used in the table for function g.
Drawing Tools
Select
Point
PLS SHOW GRAPH
The size of the shift from function f to function g is 12 units down
How to calculate the size of the shift?The table of values is given as
x 0 1 2 3 4
g(x) -11 -10 -8 -4 4
From the question, we understand that the function g(x) is an exponential function
The parent function of an exponential function in this case, is represented as
f(x) = 2^x
When represented on a table of values, we have
x 0 1 2 3 4
f(x) 1 2 4 8 16
So, we have
x 0 1 2 3 4
f(x) 1 2 4 8 16
g(x) -11 -10 -8 -4 4
Notice that the difference between the values of f(x) and g(x) is 12
This means that
g(x) = f(x) - 12
So, we have
g(x) = 2^x - 12
Hence, the size of the shift is 12 units down
See attachment for the graphs of f(x) and g(x)
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25. Susan is an electrician. She charges $75 for each repair appointmentand an additional $42 for each hour needed during the appointmentto make the repair. The expression shown can be used to calculate thetotal charge, in dollars, for each repair appointment,75 + 421where: h = the number of hours Susan works on a repair duringthe appointmentWhat is the total charge, in dollars, for a repair appointment if Susanworks for 6 hours?
Given:
Charge for each repair = $75
Additional charge per hour = $42
The expression is used to calculate the total charge, in dollars, for each repair appointment:
75 + 42h
Let h represent the number of hours Susna works during an appointment.
To find the total charge if Susan works for 6 hours, substitute 6 for h in the expression and evaluate.
Thus, we have:
h = 6
75 + 42h
75 + 42(6) = 75 + 252 = 327
Therefore, the total charge in dollars if Susan works for 6 hours is = $327
ANSWER:
$327
(3/8, - (sqrt(55))/8) Find csc t.
The CSC of the expression [tex]\left(\frac{3}{8},-\frac{\sqrt{55}}{8}\right)[/tex] is mathematically given as
[tex]\csc (\theta)=-\frac{8 \sqrt{55}}{55}[/tex]
This is further explained below.
What is the CSC ?Generally, the equation for the Problem is mathematically given as
[tex]\left(\frac{3}{8},-\frac{\sqrt{55}}{8}\right)[/tex]
Therefore
To find the [tex]$\csc (\theta)$[/tex] between the x-axis and the line between the points (0,0) and [tex]\left(\frac{3}{8},-\frac{\sqrt{55}}{8}\right),[/tex] draw the triangle between the three points [tex](0,0),\left(\frac{3}{8}, 0\right)$, and $\left(\frac{3}{8},-\frac{\sqrt{55}}{8}\right)$[/tex]
Opposite [tex]$:-\frac{\sqrt{55}}{8}$[/tex]
Adjacent :[tex]$\frac{3}{8}$[/tex]
Find the hypotenuse using the Pythagorean theorem [tex]$c=\sqrt{a^2+b^2}.[/tex]
[tex]$\csc (\theta)=\frac{\text { Hypotenuse }}{\text { Opposite }}$[/tex]
therefore
[tex]\csc (\theta)=\frac{1}{-\frac{\sqrt{65}}{8}}$.[/tex]
[tex]\frac{1}{-\frac{\sqrt{55}}{8}}[/tex]
Simplify[tex]\csc (\theta)[/tex]
[tex]\csc (\theta)=-\frac{8 \sqrt{55}}{55}[/tex]
Approximate the result.
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The width of a garden is 19.5 feet, and the perimeter of the garden is 84 feet. What is the area of the garden?
Rectangular garden has sides:
width, length, width, length
The perimeter is sum of all the 4 sides.
So, we can say:
84 = 2w + 2l
Where
w is width
l is length
Width is 19.5, so we find length:
84 = 2(19.5) + 2l
84 = 39 + 2l
2l = 45
l = 22.5 feet
Now, area is given by:
Area = length * width
Area = 22.5 * 19.5 = 438.75 sq. ft.
need help asap!!
Q: The length of a pipe in a panpipe L, in ft, is inversely proportional to its pitch p, in hertz. The inverse variation is modeled by the equation p = 497/L. Find the length of pipe required to produce a pitch of 220 Hz.
Answer:
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eatmyass
The length of pipe required to produce a pitch of 220 Hz is 2.26 feet.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
The length of a pipe in a panpipe L, in ft, is inversely proportional to its pitch p, in hertz.
The inverse variation is modeled by the equation p = 497/L.
The length of pipe required to produce a pitch of 220 Hz,
= 497/220
= 2.26 feet
Therefore, the length is 2.26 feet.
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(-2,-3), (4,3) in point slope form
Answer: y + 3 = 1 ⋅ (x + 2)
Step-by-step explanation:
Given the two rectangles below. Find the area of the shaded region?
Answer:
Step-by-step explanation:
34 units.
Select the three equations that pass through the points (–4, –16) and (5, 2):
y + 4 = 2(x – 16)
y – 2 = 2(x – 5)
y = 2x – 8
y + 16 = 2(x + 4)
The equation of line passing through (-4, -16) and (5, 2) are y = 2x – 8, y - 2 = 2(x - 5) and y + 16 = 2(x + 4)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
The standard form for linear equation is:
y = mx + b
Where m is the slope and b is the y intercept
The equation of line passing through (5, 2) and (-4, -16) is:
y - 2 = [(-16-2)/(-4-5)](x - 5)
y - 2 = 2(x - 5)
y = 2x - 8
y + 16 = 2(x + 4)
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5) Roland has a basket of 24 fruits. If 3) out of 8 of these fruits are oranges, how many oranges are in Roland's basket? a) 5 b) 8 c) 9 d) 15
Answer:
The answer would be C or 9.
Step-by-step explanation:
Figure out how many times 8 can fit into 24.(That would be 3 times) Then multiply 3 by the number of times 8 fit into 24 and get to your answer! (Please let me know if I am wrong)
Answer:
[C] 9
Step-by-step explanation:
Given:
Roland has a basket of 24 fruits. If 3 out of 8 of these fruits are oranges, how many oranges are in Roland's basket?
Solve:
" 3 out of 8 " is the same things as "⅜"
Therefore,
24 × ⅜
Now solving 24 × ⅜:
24 is the same as 24/1 since 24 divided by 1 is 24.
Hence, the problem will be like this:
[tex]\frac{24}{1}\times\frac{3}{8}[/tex]
Multiply the numerators together (24 x 3 = 72) and multiply the denominators together (1 x 8 = 8) and make it into one fraction like so:
[tex]\frac{72}{8}[/tex]
Now we have to find the GCF: GCF = Greatest Common Factor;
The greatest common factor of 72 and 8 is 8.
Dividing the numerator and the denominator by its greatest common factor to get:
[tex]\frac{9}{1}[/tex]
Convert the improper fraction above to a whole number to get the answer:
[tex]\frac{9}{1}=9[/tex]
Hence, there are 9 oranges in Roland's basket.
As a result, [C] 9 is the correct answer.
Kavinsky~
5. Solve for x using any method you'd like. Round to the hundredth. Show all your work. (2 points each) C. 5x^5 + 16 = 41
x = 1.37 after solving the given equation.
What are equations?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in 3x + 5 = 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others.So, the equation here is: 5x⁵ + 16 = 41
Now, solve the equation normally as follows:
5x⁵ + 16 = 415x⁵ = 41 - 165x⁵ = 25x⁵ = 25/5x⁵ = 5Now, take the roots on both sides and solve as follows:
x⁵ = 5x = [tex]\sqrt[5]{5}[/tex]In decimal form:
x = 1.37972966Therefore, x = 1.37 after solving the given equation.
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I need help with functions
The defition of a function is a mathematical correspondence that assigns exactly one element of one set to each element of the same or another set.
So, Your ques
what is the fraction if the denominator is 8
Step-by-step explanation:
1/8, 2/8, 3/8, 4/8, etc...
175% of what number is 23?
Answer: 13
Step-by-step explanation:
Answers: 5 to the square root of y^2 1/10 to the square root of y 10 to the square root of y 1/ square root of y^5
This is a case of indices
[tex]\begin{gathered} (\frac{1}{\sqrt[]{y}})^{-\frac{1}{5}} \\ =(\frac{1}{y^{\frac{1}{2}}})^{-\frac{1}{5}} \\ =y^{-\frac{1}{2}\times-\frac{1}{5}} \\ =y^{\frac{1}{10}} \\ =\sqrt[10]{y} \end{gathered}[/tex]The third option is the right answer.
PLS HELP MEEEEEEEEEEEEEEEEEEEEE PLS I BEG U
how could you use a graph of a proportional relationship to find any ratio in the the proportional relationship why does this work?
Please help I’ll mark you as brainliest if correct!!
filled in the blanks : -
348
* 784
_____________
1392
2784
2436
______________
272832
What is multiplication ?a mathematical operation that, at its most basic, is the quick addition of an integer to zero a certain number of times, expanded to other numbers using principles that apply to integers.
Calculation348
* 784
_____________
1392
2784
2436
______________
272832
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