The value of the function for f(5) is 133
What is a function?A function can be defined as an equation, law, rule or expression that explains the relationship between two variables.
These variables are known as;
The independent variableThe dependent variableThe different types of functions in mathematics are;
Polynomial functionLinear FunctionIdentical FunctionQuadratic FunctionFrom the information given, we have that;
f(x) = 4x² + 2x - 2
To determine the function, f(5), substitute the value of x as 5
f(5) = 4(5)² + 2(5) -2
expand the bracket
f(5) = 125 + 10 -2
Add or subtract the values
f(5) = 133
Hence, the value is 133
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An investor has asked his stockbroker to rate three stocks (A, B, and C) and list them in the order in which she would recommend them. Consider the following events: i. iii. iv. V. ● · · L: Stock A doesn't receive the lowest rating M: Stock B doesn't receive the lowest rating N: Stock C receives the highest rating Define the random experiment and list the simple events in the sample space List the simple events in each of the events L, M, and N List the simple events belonging to each of the following events: (L or N), (L and M), and M Is there a pair of mutually exclusive events among L, M, and N? Is there a pair of exhaustive events among L, M, and N?
Intuitively speaking two events are independents when the occurrence of one event (A) does not exert influence over the event (B)
How do you know if two events are exhaustive?Symbolic speaking in terms of sets
P(A∩B)= P(A) * P(B)
Examining each alternative
A. Flipping two coins and having one show a head and the other show a head
Independent. Each flipping coin does not exert any influence on the other
B. Being sneezed on and catching a cold
Dependent. This sequence of events expresses cause consequences effects.
C. When rolling a pair of dice, getting a total of 6 and having one die show a 3
Dependent
Under these conditions, the second event is dependent since all we need is a sum of six, having the first dice showing three. The second one has to show three. So it does exert influence under the result.
D. Rolling a 4 on one die and rolling a 2 on another die
Independent. To get a 4 does not exert any influence on getting a 2 on another dice.
E. Seeing clouds and winning the lottery
Independent.
There is no influence seeing clouds and winning the lottery.
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50.25.2 rewritten correctly using the commutative property and then simplified correctly?
Answer:
2.25.50
Step-by-step explanation:
it is simplified since 25 is not divisible by 2
Remove all perfect squares from inside the square root. Assume yyy is positive.
\sqrt{39y^9}=
39y
9
The final expression is
sqrt (39y9) = y4 • sqrt(39y) assuming y as positive.
Rewrite
39 y ^9 as ((y^2)^2)^2 . 39 y
Factor out y^8.
√39(y^8 . y).
Rewrite [tex]y^8 as (y^4)^2[/tex]
√39(y^4)^2 . y).
Rules for simplifying variables which may be raised to a power:
(1) variables with no exponent stay inside the radical
(2) variables raised to power 1 or (-1) stay inside the radical
(3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:
sqrt(x8)=x4
sqrt(x-6)=x-3
(4) variables raised to an odd exponent which is >2 or <(-2) , examples:
sqrt(x5)=x2•sqrt(x)
sqrt(x-7)=x-3•sqrt(x-1)
Applying these rules to our case we find out that
SQRT(y9) = y4 • SQRT(y)
Therefore, sqrt (39y9) = y4 • sqrt(39y)
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203,199,195 find the 35th term
Answer:
67
Step-by-step explanation:
The given arithmetic sequence is,
203, 199, 195,......
In the sequence, the first time a = 203,
And common difference of the sequence d = -4
Formula for nth term of the sequence,
aₙ = a + (n-1) . d
To find 35th term of the sequence, substitute n= 35,
a₃₅ = 203 + (35-1).(-4)
= 203 + 34x-4
= 203 - 136
= 67
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Answered By Solution 49
the best combination of belts and coats for this economy to produce is responses 95 belts and 1 coat 95 belts and 1 coat 85 belts and 2 coats 85 belts and 2 coats 70 belts and 3 coats 70 belts and 3 coats 40 belts and 4 coats 40 belts and 4 coats indeterminate with the available information
The best combination of belts and coats for this economy to produce is 95 belts and 1 coat. If the annual demand, setup cost, and cost per unit changes, then the EOQ formula can be used to determine the best combination of belts and coats to produce.
The best combination of belts and coats for this economy to produce can be determined using the economic order quantity (EOQ) formula. The EOQ formula helps businesses determine the most cost-effective order quantity when ordering goods. The EOQ formula is expressed as:
EOQ = √2AS/C
Where A is the annual demand for the product, S is the setup cost, and C is the cost per unit.
Using the EOQ formula, the best combination of belts and coats for this economy to produce is determined by calculating the EOQ for each product. For example, if the annual demand for belts is 95, the setup cost for belts is $1 and the cost per unit for belts is $2, then the EOQ for belts is:
EOQ = √2(95)(1)/(2)
EOQ = 95 belts
Similarly, if the annual demand for coats is 1, the setup cost for coats is $2, and the cost per unit for coats is $3, then the EOQ for coats is:
EOQ = √2(1)(2)/(3)
EOQ = 1 coat
Therefore, the best combination of belts and coats for this economy to produce is 95 belts and 1 coat. If the annual demand, setup cost, and cost per unit changes, then the EOQ formula can be used to determine the best combination of belts and coats to produce.
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Mrs. Menswar is selling chocolate bars and yogurt cups. The cost of the chocolate bar is $3.00
and the yogurt cups are $5.00. She sold 11 more chocolate bars than yogurt cups and earned $233.
Write and solve a system of equations to represent this situation. Then describe what the solution
means.
Answer:
36 chocolate bars and 25 yogurt cups were sold
Step-by-step explanation:
c= # of choc. bars sold = y + 11
y = # of yogurt cups sold
3(y + 11) + 5y = $233
3y + 33 + 5y = 233
8y = 200
y = 200/8 = 26
c = y + 11 = 25 + 11 = 36
The ratio of 1.5 to 29 is the same as the ratio of 4.5 to
Answer:
4.5:87
Step-by-step explanation:
First, we can set up an equation because 1.5:29 is equal to 4.5:x
[tex]\frac{1.5}{29} = \frac{4.5}{x}[/tex]
Now, we can solve for x by:
1.5x = 4.5 * 29
1.5x = 130.5
x = 87
The ratio will be 4.5:87
the terminal point determined by tge real number , t is given. find sin t cos t tan t (root5/5, 2 root 5/5)
sint= [tex]y=\frac{\sqrt{5} }{5}[/tex], cost= [tex]x=\frac{2\sqrt{5} }{5}[/tex], tant=2.
If the terminal point P(X, Y) is determined as a real number, t lies on the unit circle then:
sint=y cost=x tant=y/x
we are given a terminal point of P [tex](\frac{\sqrt{5} }{5} ,\frac{2\sqrt{5} }{5} )[/tex] but not given that t lies on the unit circle. we must then first verify that P lies on the unit circle:
The equation of the unit circle is:
x²+y²=1
After substituting the given points in the above equation:
[tex](\frac{\sqrt{5} }{5} )^{2} +(\frac{2\sqrt{5} }{5} )^2=1[/tex]
Now evaluate the powers we get:
[tex]\frac{5}{25} +\frac{20}{25} =1[/tex]
Adding the equation we get:
1=1
Since P [tex](\frac{\sqrt{5} }{5} ,\frac{2\sqrt{5} }{5} )[/tex] lies on the unit circle, then:
[tex]sint=y=\frac{\sqrt{5} }{5}\\\\cost=x=\frac{2\sqrt{5} }{5} \\\\tant=\frac{y}{x}=\frac{\frac{2\sqrt{5} }{5} }{\frac{\sqrt{5} }{5} }[/tex]
By solving the tant we get:
tant=2.
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An equilateral triangle has a perimeter of 159 centimeters. Find the length of each side of this triangle.
The length of each side of the equilateral triangle is ____ cm
Answer: 53
Step-by-step explanation: We know that the a triangle has three sides.
We also know that all of the sides are equal. And all the sides equal 159. So do 159/3 which equals 53.
when u, v are nonzero vectors, then span{u, v} contains the line through u and the origin, as well as the line through v and the origin.
The span of the two vectors is the set of all linear combinations of the two vectors. This means that any point on the line through u and the origin, as well as any point on the line through v and the origin, can be written as a linear combination of u and v.
1. Start by taking two non-zero vectors u and v.
2. The span of the two vectors is the set of all linear combinations of the two vectors, which means that any point on the line through u and the origin, as well as any point on the line through v and the origin, can be written as a linear combination of u and v.
3. Therefore, span{u, v} contains the line through u and the origin, as well as the line through v and the origin.
The span of two non-zero vectors u and v contains the line through u and the origin, as well as the line through v and the origin. Any point on these two lines can be written as a linear combination of u and v.
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Read and solve... 1-Tony walked 7/10 of a Kilometer fr Express the distance as adecimal. 2. Volet spent 0.5 hour reading a Pocket She spent reading as 9. fraction. th
Tony walked 7/10 km which in decimal will be 0.7 km
Volet spent 0.5 hrs reading a pocket which in Fraction will be 5/10 = 1/2
What is fraction ?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.
The three main sorts of fractions are as follows. Proper fractions, improper fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions. We categorize its kinds based on these two parameters.
Tony walked 7/10 km which in decimal will be 0.7 km
Volet spent 0.5 hrs reading a pocket which in Fraction will be 5/10 = 1/2
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f(x) = x-1 /5
g(x) = 2x + 7
For what value of x is g(x) = ƒ−¹(x) true?
-1
According to the given statement, The value of x = -5 / 36.
What is a variable (x) ?The x variable is ubiquitous in math and stands for an unknown. It doesn't always have to be an x - any letter of our alphabet can represent an unknown. To work with variables, the first step is to identify the unknown and label it. Next is writing an equation you can solve to find the unknown.
Given: f(x) = x-1 /5
g(x) = 2x + 7
Solving for g(x) = ƒ(x),
2x + 7 = x-1 /5
10x + 35 = 5x - 1
5x = -36
x = -36 / 5
Hence, the value of x for g(x) = ƒ−¹(x) is x = -5 / 36.
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Ollowing: f(x) = x² - 8x +4; g(x) = 4x − 3; and h(x) = x + 2.
Complete the following: (hg)(x)
The value of (hg)(x) would be 4x.
What is the function?
A function is a mathematical relationship between a set of inputs (also known as domain) and a set of possible outputs (also known as range). The inputs are usually represented by variables, such as 'x' in the examples you provided. The outputs are usually represented by expressions, such as 'x² - 8x + 4' in the example f(x) = x² - 8x + 4.
(hg)(x) is the composition of two functions h(x) and g(x). In this case, it would be equivalent to h(g(x)), which means to first apply the function g(x) to the input x, then apply the function h(x) to the output of g(x).
(hg)(x) = h(g(x)) = h(4x - 3) = (4x - 3) + 2 = 4x.
Hence, the value of (hg)(x) would be 4x.
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match each term on the left column with the appropriate description from the right column description. each answer choice will only be used one time. group of answer choices mean [ choose ] median [ choose ] mode [ choose ] range [ choose ] variance [ choose ] standard deviation
Extreme values are present in a set of data in business. which of the following descriptive summary measures are most appropriate interquartile range and median.
Range is the maximum easy and normally comprehensible measures of dispersion. Range is described because the distinction among the highest (or largest) and lowest (or smallest) determined fee in a series. Therefore, it's miles the maximum affected measures of dispersion via way of means of the acute values of the series.
The median offers the best weight to factors withinside the center of the ordered records. When there are intense numbers withinside the records set (very low or very excessive numbers), the median is a great data preference for a degree of principal tendency.
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Determine the range of the following graph:
Step-by-step explanation:
The vertical extent of the graph is all range values 3 and -2, so the range is (−2,3]
draw lines to match the expressions on List A with their equivalent expressions in list B.
Answer:were are the lists ? Pls include the lists.
Step-by-step explanation:
Stainless steel contains at least 10.5% chromium. If a steel container that weighs 40 grams contains 5 grams of chromium, does it meet the standard for stainless steel?
The steel container meet the standard for stainless steel because it contains 12.5% of chromium.
What is an equation?An equation is an expression showing the relationship between numbers and variables.
Stainless steel contains at least 10.5% chromium.
We need to determine if a steel container that weighs 40 grams contains 5 grams of chromium is stainless steel.
Therefore:
Percentage of chromium in the steel container = (5 grams / 40 grams) * 100% = 12.5%
12.5% > 10.5%, hence the steel container meet the standard for stainless steel
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Jane and some friends entered a snowman building contest I don't winter carnival before getting started they predicted the height of a snowman what build when they finish the snowman with 80 inches taller prediction was 10% lower than that how tall are the group predicted the snowman will
The answer is the tall are the group predicted the snowman will 800/9 or alternative form was 88.8.
What is meant by predicted?
Predict is often used interchangeably with the words forecast, foretell, prognosticate, and prophecy. All of these phrases refer to "telling in advance," but predict typically connotes drawing conclusions from known facts or natural principles.A predicted grade is the level of proficiency that an applicant's school or college predicts they will achieve under ideal conditions.Universities and colleges utilize these predicted grades to understand the potential of applicants as part of the admissions process.When a model is expected to produce a prediction in relation to what it is predicting is known as the prediction time. For systems that change dynamically throughout time, it is crucial to comprehend prediction time, when events have occurred, and when predictions are being produced.Based on the given conditions, formulate :: 80 ÷ (1 - 10%)
Calculate the sum or difference:
= 80 / 1 - 0.1
= 80 / 0.9
Multiply both the numerator and denominator with the same integer : 800 / 9 or alternative form was 88.8
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Why is f not a function from R to R if
a) f (x) = 1/x?
The function:
f(x) = 1/x
Does not has 0 on its domain, then the domain is not R, that is why the function is not from R to R.
What is a function from R to R?A function from R to R is a function where the domain is the set of all real numbers and the range is also the set of all real numbers.
Here the given function is rational, and it is:
f(x) = 1/x
Remember that we can't divide by zero, so the input x = 0 can't be on the domain of function f(x).
Thus, the domain is not the set of all real numbers.
That is why the function f is not from R to R, because the domain is not R.
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The square of the sum of a number and 24
Schools, churches, and corporations are examples of __________ groups.a. secondaryb. actingc. primaryd. informal
Schools, churches, and corporations are examples of Secondary Groups.
What does a secondary formal group mean?
A secondary group is a comparatively larger group made up of impersonal, purpose-driven, and frequently transient interactions.
These groups typically involve significantly less emotional engagement and are built around reaching a goal that is unrelated to the relationship itself.
What do main and secondary social institutions entail?
Small and distinguished by long-lasting, close-knit ties, primary groups are common. Non-personal, ad hoc, and goal-driven interactions are examples of secondary groupings.
An exchange of implicit goods, such as love, care, concern, support, etc., is what constitutes a primary group. Family units, romantic partnerships, crisis support networks, and religious organizations are a few examples of these.
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Choose the system of inequalities that best matches the graph below.
The set of inequality that most closely resembles the graph below is called y<4 , [tex]$y \geq 4 x-4$[/tex].
What is the system of inequality ?Two or more inequalities in one or more variables make up a system of inequalities. When a problem has a variety of possible solutions and those solutions are subject to several constraints, systems of inequalities are used. Inequality in income, gender, health care, and social class are some of the most prominent examples of social inequality.
At position five, there is an open circle with a right arrow. As a result, the compound inequality can be solved, for instance, by the numbers 0 and 6, but not by the number 4. An expression that doesn't contain the equals sign (=) is called an inequality. ,, >, and are the most widely used inequality symbols. Addition, subtraction, multiplication, and division are the four operations kinds that are performed on linear inequalities.
Therefore the correct answer is option A ) y<4 , [tex]$y \geq 4 x-4$[/tex]
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Given the function: x(t) = 6T3 - 7+2
- 6t + 50. What is the
value of x
at t = 7?
the value of the function at t = 7 is 1723.
What is Function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
Given the function: x(t) = 6T³ - 7t²- 6t + 50.
the value of x at t = 7
Substitute the value of t in the given function
x(7) = 6 * 7³ - 7*7² - 6 * 7 +50
x(7) = 1723
Therefore, the value of the function at t = 7 is 1723.
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3x−3≥9 Responses x = 1 x, = 1 x = 2 x, = 2 x = 3 x, = 3 x = 4 x, = 4
The value of x in the given inequality is x ≥ 4
What is an inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given is an inequality, 3x−3 ≥ 9
Solving for x,
3x−3 ≥ 9
Adding 3 both the side,
3x -3 + 3 ≥ 9 + 3
3x ≥ 12
Diving both sides by 3,
3x / 3 ≥ 12 / 3
x ≥ 4
Hence, the value of x in the given inequality is x ≥ 4
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This plot shows an object being moved by a series of forces. Which segments of the motion could have been caused by fixed springs? The answer is Segments A and C only. Explain.
The correct option for the given question is an option (C) which is Segments A and C only.
The goal of image segmentation techniques is to separate the image's various components according to the region of interest. Videos are collections of images, therefore motion segmentation separates them into moving foreground and background by separating the elements that exhibit various motion patterns.
We can extract visual information by classifying visual elements from the scenes into different groups and analyzing these spatial and temporal changes that take place in the image sequence. Each group represents an object's motion in the dynamic sequence.
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The complete question is:
This plot shows an object being moved by a series of forces. Which segments of the motion could have been caused by fixed springs?
A) None of the segments could represent work being done by springs.
B) Any of the segments could represent work being done by springs.
C) Segments A and C only.
D) Segments B and D only.
E) Segment A only.
Ashley has a rectangular poster. The poster is 1.5 meters long and 1.2 meters wide. What is the area of the poster in square centimeters?
Answer: 18000 cm^2
Step-by-step explanation:
1.5 meters = 150 cm
1.2 meters = 120 cm
Area = length * width
= 150 cm * 120 cm
= 18000 cm^2
A concert promoter must sell 1820 tickets for an upcoming concert. They can sell discount tickets for $40 each, and premium tickets for $45 each, but the total sales must equal $76,300. Let x be the number of discount tickets sold, and y be the number of premium tickets sold. Set up, and solve, the system of equations to find the number of tickets of each type sold.
Give your answer in the form (x, y)
Answer:
(x, y) = (1120, 700)
Step-by-step explanation:
You want the number of discount (x) and premium (y) tickets to be sold so that a total of 1820 tickets are sold for $40 and $45, respectively, and they generate revenue of $76,300.
EquationsThe equations reflect the relationships stated in the problem:
x + y = 1820 . . . . . . the total number of tickets sold is 1820
40x +45y = 76,300 . . . . . total sales must be $76,300
SolutionIt usually works well to substitute for the variable representing the lower-price tickets:
40(1820 -y) +45y = 76300 . . . . . . substitute for x using the first equation
5y = 3500 . . . . . . . . . . . . . . subtract 72800, simplify
y = 700 . . . . . . . . . . . . divide by 5
x = 1820 -700 = 1120
The numbers of tickets of each type sold are (x, y) = (1120, 700).
Write an equation of the line below
The line touches -x axis at 3 and touches y axis at 3
P(x,y) = (-3,3)
α+ β = -3
α β = 3
[tex] {x}^{2} - ( \alpha + \beta {)}^{2} + \alpha \beta \\ = {x}^{2} - ( - 3)x + 3 \\ {x}^{2} + 3x + 3 = 0[/tex]camille can buy up to 5 shirts. how much money could she have? enter the correct answers in the boxes in dollars and cents.
Camille can buy maximum of 3 shirts with the amount with him and left with $24 after buying 3 shirts .
Price of each shirt is $32 and the maximum she can buy is 5 shirts
suppose he buys x shirts from the money he initially have
so 32*x<=120
=> x<=3.75
solving the inequality we get:
so x=3 so maximum he can buy is 3 shirts.
Cost of each shirts is $32 so the cost of 3 shirts is given by:
=>3*32
=> $96
so the amount of money left with him = 120 -96
=> 24
so total $24 she can save after buying 3 shirts.
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Complete question:
camille have $120 with him he can buy upto 5 shirts and cost of each shirt is $32 .how much money could she have and how manu shirts he buys? enter the correct answers in the boxes in dollars and cents.
which description best describes the three-dimensional object that is formed when the shape is rotated about the axis as shown? responses a rectangular prism that is open on the ends a rectangular prism that is open on the ends a square pyramid a square pyramid a flat disk with a hole in the center a flat disk with a hole in the center a hollow cylinder a hollow cylinder a vertical line labeled as axis is drawn. a vertical rectangle is drawn on the left side of the line that does not touch the line. an arrow rotated around the line in a clockwise direction is drawn.
The three-dimensional object formed when the shape is rotated about the axis is a hollow cylinder.
This object is generated by taking a vertical rectangle and rotating it around the vertical axis. Mathematically, this can be described as a revolution of the rectangle about the y-axis in which the points of the rectangle are shifted a certain distance away from the axis. The three-dimensional object formed when the shape is rotated about the axis is a hollow cylinder.The formula used to calculate the volume of a hollow cylinder is V = π(r^2)h, where r is the radius of the cylinder, and h is the height. For example, if we have a cylinder with radius 4 and height 8, the volume would be V = π(4^2)8 = 128π cubic units.
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