Answer:
y = 3
Step-by-step explanation:
12.75y = 38.25
To find the value of y, divide each side by 12.75
12.75y/12.75 = 38.25/12.75
y = 3
If 6 is an element in the domain of
f(x)=8–2x, what is its corresponding element
in the range
The corresponding element in the range when 6 is an element in the domain is f(6) = -4.
What are a function's domain and range?A function's domain and range are the set of all possible inputs and outputs, respectively. A function's domain and range are crucial components. The range includes all of the function's output values, whereas the domain includes all potential input values from the set of real numbers.Given function f(x) = 8–2x.
6 is an element in the domain of this function.
To find the corresponding element in the range of the function,
Substitute x = 6 in the given function f(x).
So,
f(6) = 8 - 2(6)
f(6) = 8 -12
f(6) = -4
Hence, the corresponding element in the range when 6 is an element in the domain is -4.
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Can someone help me i will give brainlest :)
The solution to the inequalities given are graphed in the diagram attached below.
How to Solve and Graph Inequality?When graphing an inequality, a full circle is used when the sign involved is "≤ or ≥", while an empty circle is used to indicate the point on the graph when the inequality sign is "< or >".
The inequalities would be solved as shown below:
15. ¾x + 5 > 11
Subtract 5 from both sides
¾x > 11 - 5
¾x > 6
3x > 24
Divide both sides by 3
3x/3 > 24/3
x > 8
16. -5/6x - 1 ≥ 14
Add 1 to both sides
-5/6x ≥ 14 + 1
-5/6x ≥ 15
-5x ≥ 90
Divide both sides by -5
x ≤ -18
17. 5x - 2 ≤ -7
Add 2 to both sides
5x ≤ -7 + 2
5x ≤ -5
x ≤ -1
18. 6 - x ≤ 14
Subtract 6 from both sides
-x ≤ 14 - 6
-x ≤ -8
x ≥ 8
19. 4 - 1/3x > 11
Subtract 4 from both sides
-1/3x > 11 - 4
-1/3x > 7
-x > 21
x < -21
20. (x + 11)/-2 < -2
x + 11 < 4
Subtract both sides by 11
x < 4 - 11
x < -7
See the image below for the graph of the solution to each inequality given.
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Given:m angle 2+m angle 3 =180, angle 2 and angle 5 are supplementary
Prove:p l l q
The value of x is 29° and it's a supplementary angles.
What are supplementary angles?Supplementary angles simply means the angles that have a sum that is equal to 180°
In this case, we have been given two angles. It's important to equate them together. This will be illustrated as:
2x + 15 + 5x - 38 = 180
Collect like terms
7x - 23 = 180
Collect like terms
7x = 180 + 23
7x = 203
Divide
x = 203/7
x = 29°
The complete question is written below.
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Complete question
Given angle P is 2x + 15. and angle Q is 5x - 38. Prove that they are supplementary
A boy bought some pencils for N60.00. If he had paid N1 less for each pencil, he could have bought 5 more pencils. How many pencils did he pay for?
The number of pencils he paid for is 15.
How to find the number of pencil he paid for?He bought some pencils for N60.00.
If he had paid N1 less for each pencil, he could have bought 5 more pencils.
Let
x = cost of each pencil that amount to N60.00
y = number of pencil
Therefore,
xy = 60
y = 60 / x
(y + 5)(x - 1) = 60
(60 / x + 5)(x - 1) = 60
60 - 60 / x + 5x - 5 = 60
- 60 / x + 5x + 55 = 60
- 60 / x + 5x = 60 - 55
- 60 / x + 5x = 5
- 60 + 5x² / x = 5
5x = -60 + 5x²
5x² - 5x - 60 = 0
x² - x - 12 = 0
x² + 3x - 4x - 12 = 0
x(x + 3) - 4(x + 3) = 0
(x - 4)(x + 3)
Hence,
x = 4 and x = -3
We can only use positive value.
xy = 60
y = 60 / 4
y = 15
Therefore, he paid for 15 pencils.
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Please help me
I have a math HW that needs to be solved asap but I have lots of things on my hands right now. Thank you
For first, ∠J=55°, ∠L=55°, ∠K=70°. For second, ∠T=34°, ∠S=34°, ∠R=112°,
For third, AB=5, BC=10, AC=10. For fourth, XY=29, XZ=48, YZ=29
What is isosceles triangle?An isosceles triangle definition states it as a polygon that consists of two equal sides, two equal angles, three edges, three vertices and the sum of internal angles of a triangle equal to 180°.
For 1,
in ΔKJL,
KJ=KL
So,
∠J=∠L
∠J=180-125
∠J=55°
∠L=55°
∠K=180-(55+55)
∠K=70°
For 2,
in ΔRST,
RS=RT
So,
∠T=∠S=3x-2
3x-2+3x-2+9x+4=180°
15x=180°
x=12
∠T=3x-2=34°
∠S=3x-2=34°
∠R=9x+4=112°
For 3,
in ΔABC,
AC=BC
So,
3x+4=10
3x=6
x=2
AB=x+3=5
BC=10
AC=3x+4=10
For 4,
in ΔXYZ,
XY=YZ
So,
4x+1=29
4x=28
x=7
XY=4x+1=29
XZ=7x-1=48
YZ=29
For first, ∠J=55°, ∠L=55°, ∠K=70°.
For second, ∠T=34°, ∠S=34°, ∠R=112°,
For third, AB=5, BC=10, AC=10.
For fourth, XY=29, XZ=48, YZ=29
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Which graph shows the line y-4-2(x+1)?
Given mn, find the value of x.
(5X+28)°
(7x-4)°
Answer:
x = 16
Step-by-step explanation:
Please help me write a 1 page story explaining the identified above.
Blaise Pascal and Pierre de Fermat, two eminent mathematicians, exchanged correspondence in the middle of the 17th century that provided the groundwork for probability and altered how scientists and mathematicians regarded uncertainty and risk.
Who established the odds for dice games in 1560?The issue with the Duke of Tuscany (1560)
The Duke of Tuscany was a constant competitor. He had noticed that number 10 frequently occurred over number 9 in a game where three dice are tossed and the points are added. De Duke, however, asserts that there are six different ways to generate both figures.
What dice game is the oldest?Pyramidal dice (four-sided), which date back to Summer in the third millennium bce, are just as old as cubical dice. These dice were discovered alongside the so-called Royal Game of Ur, one of the oldest complete board games ever uncovered.
In his book A Pocket Guide to Dice & Dice Games, Keith Souter develops the Sir Farkle theory and fixes Iceland as the setting and the year as 1492.
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the weights of items produced by a certain company are normally distributed with a mean of 4.5 ounces and a standard deviation of 0.3 ounces. the manager of the production line wants to discard any item whose weight is in the lower 2.5%. what is the maximum possible weight for the items discarded?
Using standard deviation, the maximum possible weight for the items discarded is 28004 ounces.
What is meant by standard deviation?The standard deviation is a statistic that describes the degree of volatility or dispersion in a set of numerical values. A low standard deviation means that the values tend to be close to the established mean, whereas a large standard deviation suggests that the values exist distributed throughout a greater range.A measure of a data set's variance from the mean is referred to as "standard deviation." While a high standard deviation indicates that the data are more spread, a low standard deviation suggests that the data are clustered around the mean.So,
Mean = 4.5Standard deviation = 0.3(A) P(x > 4.14)
z = (4.14 - 4.5) / 0.3= -1.20P(z > -1.20) = P(z < 1.20)= 0.8849(B) P(4.8 < x < 5.04)
= P (4.8 - 4.5/0.3 < x - μ/σ < 5.04 - 4.5/0.3)= P(1 < z < 1.80)= P(z < 1.80) - P(z < 1)= 0.9641 - 0.8413= 0.1228 or 12.28 %(C) P(x > x) = 0.05
z value will be, 1.6451.645 = (x - 4.5) / 0.3x = 4.9935(D) P(x < 5.01)
= (z = x - μ/σ)= (5.01 - 4.5) / 0.3 = 1.7P(z < 1.70) = 0.9554n = 27875/0.9954= 28004Therefore, using standard deviation, the maximum possible weight for the items discarded is 28004 ounces.
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Correct question:
The weights of items produced by a company are normally distributed with a mean of 4.5 ounces and a standard deviation of 0.3 ounces. a. What is the probability that a randomly selected item from the production will weigh at least 4.14 ounces? b. What percentage of the items weighs between 4.8 and 5.04 ounces? c. Determine the minimum weight of the heaviest 5% of all items produced. d. If 27,875 items of the entire production weigh at least 5.01 ounces, how many items have been produced?
The equation of the line that is perpendicular to the line 5x + 6y = 18 and passes through the point (10,7)
Answer:
y = ( 6 / 5 )x - 5;
Step-by-step explanation:
Perpendicular Line Theoryy = - ( 1 / m )x + c;
AlgebraConvert dual intercept to standard form.
5x + 6y = 18;
Subtract 5x from both sides.
6y = - 5x + 18;
Divide both sides by 6.
y = ( - 5x + 18 ) / 6;
y = ( - 5x / 6 ) + ( 18 / 6 );
y = ( - 5 / 6 )x + 3;
Get the perpendicular line.
y = ( 6 / 5 )x + c;
Substitute the point.
7 = ( 6 / 5 )( 10 ) + c;
7 = 12 + c;
Subtract 12 from both sides.
- 5 = c;
c = - 5;
y = ( 6 / 5 )x - 5;
Find the max and min values
100 +14.75 %
Step-by-step explanation:
100+14.75%
100+14=114
=114.75%
Which set of ordered pairs is a
function?
A. (-2,4), (0, 4), (2, 4), (2,6)}
B. {(-10, 4), (-8, 3), (-8, 2), (-4,1))
C. {(1, 5), (1, 6), (2,7), (3, 8))
D. Of(-1, 1), (0, 0), (1, 1), (2, 2))
A set of ordered pairs that contain only unique ordered pairs with unique x coordinates exists directed to as a function.
The set of ordered pairs is a function exists {(1, 5), (1, 6), (2,7), (3, 8)}.
What is meant by function?A set of ordered pairs that contain only unique ordered pairs with unique x coordinates exists directed to as a function. A function is defined by an equation that generates a set of ordered pairs. Each x value in a relation must have a unique value for the y value for it to be a function. if there are multiple y-values associated with an x-value.
Because no two ordered pairs have the same first coordinates with the same second coordinates, the initial set of ordered pairs is a function.
A relationship and a function vary in that a relationship can have multiple outputs for a single input, whereas a function only needs one input to produce one outcome. This is the fundamental criterion used to distinguish between relation and function. These model concepts are created through the usage of relations.
Therefore, the correct answer is option C. {(1, 5), (1, 6), (2,7), (3, 8)}.
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alues there is action youThe ton presents a function because
Answer:
The equivalent expression is;
[tex]\frac{1}{x^{19}}[/tex]Explanation:
Given the expression;
[tex]\frac{(x^{-5})^4}{x^{-1}}[/tex]we want to simplify;
[tex]\begin{gathered} \frac{(x^{-5})^4}{x^{-1}} \\ =\frac{x^{-5}^{(4)}}{x^{-1}} \\ =\frac{x^{-20}}{x^{-1}} \end{gathered}[/tex]Applying the rules of exponent;
[tex]\begin{gathered} =\frac{x^{-20}}{x^{-1}} \\ =\frac{1}{x^{20}}\times\frac{1}{x^{-1}} \\ =\frac{1}{x^{20-1}} \\ =\frac{1}{x^{19}} \end{gathered}[/tex]Therefore, the equivalent expression is;
[tex]\frac{1}{x^{19}}[/tex]{3x}^{2} + 4x + 1 = 0 using factorisation method
Step-by-step explanation:
Hope it helps you ..
MATHEMATICS IS OUR OWN LANGUAGE,LETS TALK TOGETHER
i need the domain range and inc. dec. intervals
Using a graphing calculator, the features of the function are given as follows:
Domain: (-∞,∞).Range: (-∞,∞).Relative maximums: (2.816, 1.089).Relative minimums: (1.184, -1.089).End behavior: As x -> -∞, f(x) -> ∞, and as x -> ∞, f(x) -> -∞.Increasing intervals: (1.184, 2.816).Decreasing intervals: (-∞, 1.184) U (2.816, ∞).Domain and rangeIn a graph, the domain and the range of the function are given as follows:
Domain: values of x (input values).Range: values of y (output values).This function is defined for all real values and also assumes all real values, hence both the domain and the range are (-∞,∞).
Increasing and decresingFrom the graph, the function is classified as decreasing or increasing as follows:
Decreasing: moving right and down.Increasing: moving right and up.Hence the intervals are given as follows:
Increasing: (1.184, 2.816).Decreasing: (-∞, 1.184) U (2.816, ∞).Relative maximum and relative minimumThe relative minimum is when the function changes from decreasing to increasing, hence it is at this following point:
(1.184, -1.089).
The relative maximum is when the function changes from increasing to decreasing, hence it is at this following point:
(2.816, 1.089).
End behaviorThe end behavior of the function is given by the limits of the function when x go to infinity, hence:
To the left, the function goes to infinity, hence as x -> -∞, f(x) -> ∞.To the right, the function goes to negative infinity, hence as x -> ∞, f(x) -> -∞.More can be learned about functions at https://brainly.com/question/28949511
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the expected number of typographical errors on a page of a certain magazine is .2. what is the probability that the next page you read contains (a) 0 and (b) 2 or more typographical errors? explain your reasoning!
(a) The probability that the next page you read contain zero is 0.8187.
(b) The probability that the next page you read contains or more typographical errors is 0.0175.
What is probability?
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes
The probability that the next page you read contains zero. The expected number of typographical errors on a page of a certain magazine is
That is, y = 0.2
Let is a random variable representing the number of typos per page.
Since, we have a large number of letters per page, and the number of errors in one page will be small, we use Poisson distribution. The probability function of the Poisson distribution is defined as,
[tex]P(x = i) = e^-^y\frac{y^i}{i!},..... i = 0, 1, 2, ...[/tex] ...(1)
Here, y is a parameter.
Find the probability that the next page you read contains zero.
That is, find P(y = 0)
plug y = 0 in equation (1), we get
P(x = 0) = 0.8187
The probability that the next page you read contain zero is 0.8187
Given the question that the probability that the next page you read contains more typographical errors. The expected number of typographical errors on a page of a certain magazine is 0.2
That is y = 0.2
Let is a random variable representing the number of typos per page.
Find the probability that the next page you read contains more typographical errors.
That is find P(x ≥ 2)
P(x ≥ 2) = 1 - P(x ≤ 1)
= 1 - (P(x = 0) + P(x = 1))
= 1 - 0.982477
= 0.0175
The probability that the next page you read contains or more typographical errors is 0.0175.
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Negative t divide by four equal’s negative three pie?
Answer:
Step-by-step explanation:
yes it does
Element X decays radioactively with a half life of 5 minutes. If there are 860 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 230 grams? y = a(.5) k
The amount of time it would take Element X to decay to a mass of 230 grams is 9.5 minutes.
How to determine the amount of time to decay?Mathematically, the mass of a radioactive element that is remaining after time (t-hours) is given by this exponential function:
A(t) = A₀·e^{t/τ}
Where:
A(t) represents the mass remaining or current mass measured in grams.A₀ represents the initial mass measured in grams.τ is the time constant measured in minutes.t represents the half-life or time to decay measured in minutes.Next, we would determine the time constant by using this mathematical expression:
Time constant, τ = t/ln2
Time constant, τ = 5/0.6932
Time constant, τ = 7.2130 minutes.
Now, we can determine the amount of time to decay by making half-life (t) the subject of formula as follows:
A(t) = A₀·e^{t/τ}
Half-life, t = -τ·ln(A(t)/A₀)
Substituting the parameters into the formula, we have;
Half-life, t = -7.2130·ln(230/860)
Half-life, t = -7.2130 × ln(0.2674)
Half-life, t = -7.2130 × -1.3190
Half-life, t = 9.51 ≈ 9.5 minutes.
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question
A group of friends’ dinner bill before tax is $122.75. The sales tax rate is 8%. They want to leave an 18% tip after tax. What is their total dinner bill, including tax and tip, rounded to the nearest cent?
Responses
The cost of the total bill for the friends is $154.665.
What is a tax?This implies a levy that's paid to the government by individuals and firms.
From the information, the.group of friends’ dinner bill before tax is $122.75, sales tax rate is 8% and they want to leave an 18% tip after tax.
The total bill will be:
= Cost of food + Tax + Tip
= $122.75 + (8% × $122.75) + (18% × $122.75)
= $122.75 + $9.82 + $22.095
= $154.665
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a box is constructed out of two different types of metal. the metal for the top and bottom, which are both square, costs 1/ft2 and the metal for teh sides costs 2 ft find the dimensions that minimize cost if the box has a volume of 20 ft 3
The cost function of the box is C(x) = 2. x² + 160/x and the dimension that lead to the minimum cost is length = ∛40 ft., width = ∛40 ft., height = ∛5 ft.
Let:
x = the bottom's side length
h = the height of the box
Then, the surface area of top and bottom:
A1 = 2. x²
The surface area of vertical sides:
A2 = 4 x. h
The cost function is:
C(x) = 2. x² . 1 + 4 x. h . 2
C(x) = 2. x² + 8 x. h
The volume of the box is:
V = x² . h
20 = x² . h
h = 20 / x²
Substitute h = 20 / x² into the cost function:
C(x) = 2. x² + 8 x. h
C(x) = 2. x² + 8 x. 20 / x²
C(x) = 2. x² + 160/x
At the minimum point, the derivative of a function is equal to zero. Hence,
C'(x) = 4x -160 / x² = 0
x³ = 40
x = ∛40
Substitute x = ∛40 to find the height:
h = 20 / x²
= 2 . 10 / (∛4² . ∛10²)
= ∛10 / ∛2 = ∛5
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What is the result when 2a - 5 is subtracted from 3a + 3?
Answer:-1a+2
Step-by-step explanation:
add like terms
Hey there!
(2a - 5) - (3a + 5)
= 2a - 5 - 3a + 5
COMBINE the LIKE TERMS
= (2a - 3a) + (-5 + 3)
= 2a - 3a + (-5) + 3
= -1a - 2
Therefore, your answer should be:
-1a - 2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
I’d appreciate the help this is my last few questions and this will save my grade since the first trimester of my school is done this week so I appreciate help
Answer:
260.52cm^
Step-by-step explanation:
Identify pairs of lines which look perpendicular in the diagram. There are more than one answers.
Answer:
Angles gh, fh, and jh are perpendicular :)
Step-by-step explanation:
perpendicular is when line touch and they make a 90* angle and the three angles that i have listed all touch and make 90*
Complete the steps to find the value of x
Answer:
2x=128⁰ x=64⁰
Step-by-step explanation:
since they are corresponding angles, the other side (2x) will also be 128⁰. This means that x=64⁰
and 2x=128⁰
Help please:)! Really STUCK on this question!
Answer:
Step-by-step explanation:
it 10
Zack plans to attend the Carroll County Fair and is trying to decide what would be a better deal. He can pay $40 for unlimited rides, or he can pay $15 for admission plus $1 per ride. If Zack goes on a certain number of rides, the two options wind up costing him the same amount. How many rides is that?
Let
x -----> number of rides
y ----> the total cost
so
The linear equation that represents both situations are
y=40 -----> equation A
y=x+15 ----> equation B
equate both equations
40=x+15
solve for x
x=40-15
x=25
therefore
the number of rides is 25please helppp
What is the derivative of 2x^2(cotx)?
the derivitvte of 2x^2(cotx) is −4cot2xcsc^2(2x)
 how many years  did Joe serve in prison  if his sentence of 5 year was reduced by three for good behavior 
Answer: 2 years
Step-by-step explanation: If Joe was meant to serve 5 years but then his sentence got shortened by 3 years, that means we need to use subtraction. 5 minus 3 equals 2. Therefore, the answer is 2 years.
Tara's family raises honey bees and sells the honey at the farmers' market. to get ready for market day, tara fills 28 equal sized jars with honey. she brings a total of 14 cups of honey to sell at the farmers' market. use an equation to find the amount of honey each jar holds. to write a fraction, use a slash ( / ) to separate the numerator and denominator.
The amount of honey each jar holds is 1/2 cup by jar
To solve this exercise we have to perform a mathematical operation of division with fractions:
Information about the problem:
Jars filled = 28 jarsCups brought = 14 cupsTo find the amount of honey each jar holds we state the following equation:
Amount of honey by jar = Cups brought / Jars filled
Amount of honey by jar = 14 cups /28 jar
Simplifying to its minimum expression, we have:
Amount of honey by jar = 7 cups / 14 jar
Amount of honey by jar = 1 cup / 2 jar
Amount of honey by jar = 1/2 cup by jar
What is a fraction?Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.
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a company purchases shipments of 600 machine components and uses this acceptance sampling plan: randomly select and test 25 components and accept the whole batch if there are fewer than 3 defective components. it is known that this particular component has a 4% defective rate. what is the probability that shipment will be accepted?
25 components are randomly chosen and tested; if there are no more than 3 defective components, the entire batch is accepted. The probability is it that the shipment will be accepted is 0.7323.
Given that,
An organization utilizes the following acceptance sampling strategy for ordering shipments of 600 machine parts: 25 components are randomly chosen and tested; if there are no more than 3 defective components, the entire batch is accepted. This specific component is known to have a 4% fault rate.
We have to find how probability is it that the shipment will be accepted.
By binomial we get,
Binomial Problem:
n = 25 ; p = 0.04
P(0<= p <= 2)
= 0.7323
Therefore, The probability is it that the shipment will be accepted is 0.7323.
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