Answer:
Step-by-step explanation:
Add them all together which is
ABC124A4B2C-16-3A3B-C yep
Enter the value of n so that the expression (-y + 3) + (2y - 4) is equivalent to (ny - 1).
Answer:
n=1
Step-by-step explanation:
(-y + 3) + (2y - 4) = (ny - 1)
-y + 3 + 2y - 4 = ny - 1
-y + 2y + 3 - 4 = ny - 1 -> combine like terms on the left side of the equation
y - 1 = ny - 1 ==> simplify
y - 1 + 1 = ny - 1 + 1
y = ny ==> solve for n
y/y = ny/y
1 = n ==> n=1
PLEASE HELP Consider triangle ABC and triangle DFE.
Possible answers:
1st blank
A. a reflection of
B. a translation of
C. a translation and dilation of
D. a rotation and reflection of
2nd blank
A. only rigid transformations
B. transformations involving a dilation
3rd blank
A. are congruent
B. are not congruent
C,B and A are the correct options
What is congruent?
Congruent refers to something that is "absolutely equal" in terms of size and form. The shapes hold true regardless of how we rotate, flip, or turn them. Draw two circles with the same radius, for instance, cut them out, then stack them on top of one another. We will see that they will superimpose, or be positioned entirely on top of, one another. This demonstrates the congruence of the two circles. The circles below may be put perfectly over one another and have the same radius, hence they are considered to be congruent.
triangle DFE is a translation and dilation of triangle ABC
since triangle ABC uses transformations involving a dilation to map onto triangle DFE ,
the triangles are congruent
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a car manufacturer wants to learn more about the brand preferences of electric car owners. there are millions of electric car owners in the world. who should the company survey? 1 point the entire population of electric car owners a sample of car owners who have owned more than one electric car a sample of all electric car owners a sample of car owners who most recently bought an electric car
A car manufacturer wants to lean about the brand preferences, then the company should survey a sample of all electric car owners.
What is Survey?A survey is a set of questions used in human subject research with the goal of gathering specific information from a particular population. Surveys can be carried out via the phone, by mail, online, at street corners, and even in shopping centers. Surveys are employed to collect data or learn more in areas like demography and social research.
Survey research is frequently used to evaluate ideas, beliefs, and emotions. Surveys may have narrow, specialized objectives, or they may have more general, extensive objectives.
As the manufacturer wants to learn about the brand preferences of electric car owners that what type of things people like nowadays, or what kind of improvement he can do in his model or design or other things, he should prefer a sample of all electric car owners.
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Let the graph of g be a vertical stretch by a factor of 3 and a reflection in the y-axis, followed by a translation 2 units left of the graph of f(x)=x^2-5x+1 . Write a rule for g .
Answer:We may rewrite f(x) = (x-1)^2
We stretch by having 3(x-1)^2
We reflect about the y axis by changing x to -x: 3(-x-1)^2 = 3(x+1)^2
We move to the left by adding 2 to x: 3(x+2+1)^2 = 3(x+3)^2
Step-by-step explanation:A way to verify this: Consider y = x^2 to be the unit parabola. f(x) = (x-1)^2 moves the unit parabola one to the right, so it is symmetric about x = 1; We then vertically stretch it by a factor of 3; reflection about the y-axis moves the parabola to be symmetric about x = -1; moving to the left by 2 means the parabola is now symmetric about x = -3; thus, we have a stretched unit parabola symmetric about x = -3, so g(x) = 3(x+3)^2
We may write g(x) = 3x^2 + 18x + 27, also.
Witch expression is equivalent to (-10/9t+1/8)-(-6/18t+3/4) (I NEED THIS FAST!)
Answer: ( -56 - 45t ) / 72t
Step-by-step explanation:
attached a picture for explaination.
hope that helps...
Use factoring and the zero-product property to find the zeros of:
f(x) = 2x² + 3x-2
Answer:
Step-by-step explanation:To find the zeros of the quadratic function f(x) = 2x² + 3x - 2, we can use the zero-product property, which states that if the product of two factors is zero, then at least one of the factors must be zero.
We can write the function as follows:
f(x) = 2x² + 3x - 2 = 0
We can then factor the quadratic as follows:
f(x) = 2(x-1)(x+1) = 0
Since the product of the factors is zero, at least one of the factors must be zero. Therefore, the zeros of the quadratic are x = 1 and x = -1.
Ben has 7 more baseball cards than Sara. Sara has x baseball cards. Enter an expression to represent the number of baseball cards Ben has.
Answer: If Ben has 7 more baseball cards than Sara, and Sara has x baseball cards, you can represent the number of baseball cards Ben has with the expression x + 7. This means that Ben has x baseball cards plus an additional 7 baseball cards.
For example, if Sara has 5 baseball cards, then Ben has 5 + 7 = 12 baseball cards.
Suppose that the relation S is defined as follows.
S= {(4,n), (8,q), (4,m)}
Give the domain and range of S.
Write your answers using set notation.
Domain=
Range=
The domain of the relation is {4,8} and the range of the relation is {n,q,m}.
What is domain?A function or relation's domain is the set of all potential independent values that it can have.
Suppose that the relation S is defined as follows.
S= {(4,n), (8,q), (4,m)}
The first term at the point represents the input and the second term at the point represents the output.
So,
the input values are 4,8 and 4 and their respective outputs are n, q and m,
The collection of all conceivable independent values that a function or relation may take is known as its domain.
So, the domain is {4,8}.
The range of a function or relation is the set of all possible dependent values the relation can produce from the domain values.
So, the range is {n,q,m}
Therefore, the domain is {4,8} and the range is {n,q,m}.
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Which of these triangle pairs can be mapped to each other using a single translation?
O
E
D
$
the heights of the students in your class are normally distributed with a mean of 64 inches and a standard deviation of 3 inches. if a z score of 1.10 describes your height, how tall are you in inches?
The height is 67.3 inches.
The standard deviation is a statistic that calculates as the square root of the variance and quantifies the dispersion of a dataset compared to its mean. The standard deviation is determined as the square root of the variance by calculating the departure of each data point from the mean.
Let our height be x inches.
Given,
Mean= μ =64 inches
Standard Deviation=σ=3 inches
Z=1.10
We know,
Z =(x-μ)/σ
⇒x= Zσ + μ
By putting the values of Z,μ and σ we get,
x= 1.10×3 + 64 inches
⇒x= 67.3 inches
The height is 67.3 inches.
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a ferris wheel 50 ft in diameter makes one revolution every 40 sec. if the center of the wheel is 30 ft above the ground, how long after reaching the low point is a rider 50 ft above the ground
So, it will take the rider 5.1 seconds to reach a height of 50 ft above the ground after reaching the low point.
The circumference of the ferris wheel is equal to the diameter times pi, or 50*pi=157.08 ft. Since the ferris wheel makes one revolution every 40 seconds, the speed of the ferris wheel is 157.08/40=3.92 ft/sec.
Since the rider starts at a height of 30 ft above the ground and ends up 50 ft above the ground, the total change in height is 50-30=20 ft. Since the speed of the ferris wheel is 3.92 ft/sec, it will take the rider 20/3.92=5.1 seconds to reach a height of 50 ft above the ground after reaching the low point.
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Which one. Multiple choice.
In the given relation, 1 is not a domain.
What is domain?The domain of a function is the set of all possible inputs for the function. or we can that in an ordered pair, all the values of x are called domain.
All the values that go into a function. The output values are called the range.
The domain of a function is the set of all possible inputs for the function.
If a function f provides a way to successfully produce a single value y using for that purpose a value for x than that chosen x-value is said to belong to the domain of f.
Given that, a function,
{(5, 1), (4, -3), (3, -1)}
We know, a domain is the set of all "x" values.
Therefore, domain of the function are, 5, 4 and 3
But, if we see, 1 is one of the values of y.
Hence, 1 is not a domain.
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Geometry is hard help
in a certain town, 60 families own tv sets, 85 own scooters, 70 own refrigerators, and 95 own radio sets. 130 families own exactly one of these items. what is the maximum possible number of families in that town? assume that every family owns at least one of the items.
Therefore ,the solution to this equation question is option C) 220 .
Describe equation.In an equation, it is said that the values of two mathematical expressions are equal. The equality of two variables is established via a mathematical formula. It is denoted by the equal ('=') sign. For example, the formula is 8+2=12-2. The aforementioned equation indicates that the left and right sides of the equation are equal. In light of this, an equation is a claim that "this equals that."
Here,
S is the total families
thus,
S = 60 + 85 + 70 + 95 = 310.
I + II + III + IV = X
S = I + 2 II + 3 III + 4 IV
S - I = 2 II + 3 III + 4 IV
310 - 130 = 180 = 2 II + 3 III + 4 IV
Make III & IV = 0 to increase X.
2 II therefore equals 1800. II = 90
X max = 130+90 = 220
Therefore ,the solution to this equation question is option C) 220 .
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Given: segment BD bisects angle ABC and segment BD bisects angle ADC. Prove: segment AD is congruent to segment CD
If BD bisects ∠ABC and ∠ADC, then AD is congruent to CD.
What is bisector of an angle?
In geometry, anything is said to have been bisected when it is split into two identical or similar parts, typically by a line. In that case, the line is known as the bisector. The types of bisectors that are most usually taken into account are segment bisectors and angle bisectors..
Since BD bisects ∠ABC, thus ∠ABD = ∠DBC.
Since BD bisects ∠ADC, thus ∠ADB = ∠BDC.
AA theorem: According to the AA similarity theorem, two triangles are similar if two of their triangles are congruent with two of their respective triangles' angles.
Consider △ABD and △DBC:
∠ABD = ∠DBC
∠ADB = ∠BDC
Therefore, △ABD ≅ △DBC
According to CPCT, AD ≅ CD.
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These figures are similar. The perimeter and area of one are given. The perimeter of the other is also given. Find its area and round to the nearest tenth.
Perimeter= 20m
Area=19.6m^2
Perimeter=34m
What is the Area=
The area of the larger figure that is similar to the smaller one is: 28.2 m².
How to Find the Area of Similar Figures?Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:
Area of figure A / Area of figure B = a²/b².
Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:
Perimeter of smaller figure = 20 m
Area of smaller figure = 19.6 m²
Perimeter of larger figure = 34m
Area of larger figure = x
Therefore:
20/34 = a/b
Simplify:
10/17 = a/b.
Find the area (x) of the larger figure using the formula given above:
10²/12² = 19.6/x
100/144 = 19.6/x
100x = 2,822.4
x = 2,822.4/100
x ≈ 28.2 m²
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A school requires 2 iPads for every 5 students. How many iPads are needed for 145 students?
Answer:
58 iPads
Step-by-step explanation:
To calculate how many iPads are needed for 145 students, we can use the given ratio of 2 iPads for every 5 students.
First, find out how many groups of 5 students are in 145 students by dividing 145 by 5:
[tex]\sf \dfrac{145\; students}{5\; students/group} = 29\;groups\; of \;5 \;students[/tex]
Now, for each group of 5 students, we need 2 iPads. So, multiply the number of groups of 5 students by 2 to find the total number of iPads needed:
[tex]\sf 29 \;groups \times2\; iPads/group = 58\; iPads[/tex]
Therefore, 58 iPads are needed for 145 students.
The library at your school has MP3 players pre-loaded with audio and digital books
to check out. When the librarian starts downloading new books at 11:00 am, there
are 15 already loaded. When she checks at noon, there are 25 books completely
loaded. Assuming that the computer downloads books at a consistent rate, how
many complete books will have downloaded at 2:45 pm?
Write a function of books downloaded, y, based on time passed, x (in hours), as well
as the total number of books that will be completed by 2:45 pm.
The total number of books completed by 2:45 pm will be 42.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that when the librarian starts downloading new books at 11:00 am, there are 15 already loaded. When she checks at noon, there are 25 books completely loaded.
The number of books loaded in 1 hour is calculated as,
N = 25 - 15
N = 10 books
Now from 12 noon to 2:45 pm, the time in hours will be,
T = 165 minutes or 165 / 60 = 2.75 hours
The equation for the number of books loaded will be written as,
y = 15 + 10T
y = 15 + ( 10 x 2.75)
y = 15 + 27.5
y = 42.5 or 42
The completely loaded books are 42 in number.
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You recently joined a gym. You had to pay a joining fee of $40, and you will pay $20 per month to maintain the membership.
What is the one-time charge? What does it represent in slope-intercept form?
What is the recurring charge? What does it represent in slope-intercept form?
What does x represent?
What does y represent?
The number 40 represents the one-time charge which is the y-intercept. And the number 20 presents the fee for gym per month. The x-intercept represents that you need to pay 14 monthly fees for a year.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let 'x' represents the number of months and 'y' be the total cost. Then the equation is given as,
y = 20x + 40
The number 40 addresses the one-time charge which is the y-capture. Also, number 20 presents the charge for the exercise center each month. The x-block addresses that you really want to pay 14 month-to-month charges for a year.
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Mr.green Is putting lights around 8 windows; each window is 3 and 1/2 feet wide and 5 feet long. How many feet of light does he need?
Answer:
The answer is 140
Step-by-step explanation:
The first step is simple L x W which will give us.
L being 5 and W being 3.5 The equation is 5 × 3.5 = 17.5.
With that being said I just need to multiply that answer by 8 which gives us 140.
This means that he will need 140 ft of light in order to put light around each window.
Hope this helped :)
Aniyah invests $2300 in one account and $1400 in an account paying 4 % higher interest. At the end of one year she had earned $130 in interest. At what rates did she invest
She invested $2300 at 2% and $1400 at 6% interest.
What is simple interest?We know simple interest (SI) is given by SI = (p×r×t)/100, where
p = principle, r = rate in percentage, and t = time in years.
Given, P₁ = $2300, P₂ = $1400, t₁ = t₂ = 1 and r₂ = r₁ + 4.
The sum of the simple interests from both these accounts is $130.
Therefore, (2300×r₁×1)/100 + (1400×(r₁ + 4)×1)/100 = 130
2300r₁/100 + 1400r₁/100 + 5600/100 = 130.
2300r₁ + 1400r₁ + 5600 = 13000.
3700r₁ = 7400.
37r₁ = 74.
r₁ = 2% and hence r₂ = 6%.
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What is the name given to the exponent to which 3 must be raised to obtain 11?
The number which can be raised by 3 to give the value of 11 is 2.224.
What are exponential functions?The idea of exponentiation, or repeated multiplication, is where the exponential function got its start, but more recent definitions—there are several that are equivalent—allow it to be rigorously extended to all real arguments, including irrational values.
Given:
The exponent to which 3 must be raised to obtain 11,
Assume the number is x then, According to the statement,
x³ = 11
x = ∛11
x = 2.224
Thus, the number is 2.224.
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Two angles form complements. One angle measure is eight more than twice the other. Find both angles measures.
Answer:
41° and 49°
Step-by-step explanation:
Two angles are said to be complements if the sum of their measures is 90 degrees. Since one angle is eight more than twice the other, we can set up the following equation to represent the situation:
2x + 8 = 90
Solving for x, we get:
2x = 82
x = 41
Since the two angles are complements, their measures must add up to 90 degrees. Therefore, the measure of the other angle is 90 - 41 = 49 degrees.
Therefore, the two angles have measures of 41 and 49 degrees.
One gallon of gasoline in Buffalo, New York costs $2.29. In Toronto, Canada, one liter of gasoline costs $0.91. There are 3.8 liters in one gallon. How much does one gallon of gas cost in Toronto? Round your answer to the nearest cent.
Answer: One gallon of gas in Toronto would cost approximately $3.43. To find this, first convert the price of gasoline in Buffalo to liters. Since there are 3.8 liters in one gallon, one gallon of gas in Buffalo costs $2.29 * 3.8 liters = $8.69. Next, divide the price per liter in Toronto by the number of liters in a gallon to find the price per gallon in Toronto. This is $0.91 / 3.8 liters/gallon = $0.24/liter. Finally, multiply the price per liter in Toronto by the number of liters in a gallon to find the price per gallon in Toronto. This is $0.24/liter * 3.8 liters/gallon = $0.91/gallon. Round this to the nearest cent to find that one gallon of gas in Toronto costs $0.91/gallon = $<<0.91/gallon=0.91>>0.91.
1,000 individuals total: 900 are fully susceptible (fs) to methicillin, meaning they die early in the course of treatment. 90 are somewhat susceptible (ss) to methicillin, meaning they have some resistance to methilicillin. 10 are killed only by a full treatment with methicillin (ft), meaning they have the greatest degree of resistance. what is the percentage of each type of s. aureus?
The percentage of each types of s. aureus
Fully susceptible (fs) to methicillin = 90% Somewhat susceptible (ss) to methicillin = 9% Killed only by a full treatment with methicillin = 1%Total number of individuals = 1000
Number of individuals susceptible (fs) to methicillin = 900
The percentage = (Number of individuals susceptible (fs) to methicillin / Total number of individuals) × 100
= (900/1000) × 100
= 90%
90 are somewhat susceptible (ss) to methicillin
The percentage = (90 /1000) × 100
= 9%
10 are killed only by a full treatment with methicillin (ft)
The percentage = (10/1000) × 100
= 1%
Therefore, the percentage of each types of s. aureus are 90%, 9% and 1%
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The expression - 270 +18.3y represents a submarine that began at a depth of 270 feet below sea level and ascended at a rate of 18.3 féet par minute. What was the depth
of the submarine after 8 minutes?
Select the correct answer below and, if necessary, fill in the answer box to complete your choice.
A. The submarine ___ was feet below sea level after 8 minutes.
(Type an integer or a decimal:)
B. The submarine will have reached sea level after 8 minutes.
The depth of the submarine after 8 minutes is -123.6 feet below sea level.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Depth of the submarine after y minutes.
= -270 + 18.3y
The depth of the submarine after 8 minutes.
= -270 + 18.3 x 8
= -270 + 146.4
= -123.6
Thus,
The submarine is at -123.6 feet below sea level.
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one of the 4 choices
The translation from the parent function is defined according to the following option:
A translation of 5 units to the right.
How to define the translation?The four possible translations are defined as follows:
Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.The parent function in this problem is defined as follows:
f(x) = x².
The translated function is given as follows:
g(x) = (x - 5)².
Meaning that the translated function can be written as follows:
g(x) = f(x - 5).
Thus the transformation to the parent function is given as follows:
x -> x - 5.
Thus it was a translation right of five units, and the third option is the correct option.
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Rewrite 20x4y3 − 30x3y4 using a common factor. 2x4y4(10 − 15x) 2x3y3(10y − 15x) 5x4y3(4 − 6y) 5x3y3(4x − 6y)
The expression which represents the correctly rewritten form of the given expression; 20x⁴y³ - 30x³y⁴ is; 5x³y³ ( 4x - 6y ).
Which expression correctly represents the rewritten form of the expression 20x⁴y³ - 30x³y⁴?It follows from the task content that the expression which correctly represents the rewritten form of the given expression be determined.
On this note, since the given expression is;
20x⁴y³ - 30x³y⁴
The greatest common factor of both terms in the expression is; 10x³y³ .
On this note, the expression can be factorised completely as follows;
10x³y³ ( 2x - 3y )
However, the expression which is equivalent to the expression above among the answer choices is;
5x³y³ ( 4x - 6y )
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Which relationships have the same constant of proportionality between yyy and xxx as the following table?
x y
7 24.5
9 31.5
Choose 3 answers
Answer:
A,D,E
Step-by-step explanation:
A:
14/4 = 3.5
D:
7/2 = 3.5
E: 14/4 = 3.5
The constant of proportionality for the table is 3.5. Any other table that satisfies the equations x/y = 3.5 will have the same constant of proportionality.
Explanation:To find the constant of proportionality, we can divide the y-values by the corresponding x-values and see if they are the same for all given points. In this case, if we divide 24.5 by 7, we get approximately 3.5. If we divide 31.5 by 9, we also get approximately 3.5. Therefore, the constant of proportionality is 3.5 for this table.
Now, we need to find the relationships that have the same constant of proportionality.
For example, if we have a table with the following values:
x1 y1
x2 y2
x3 y3
and the constant of proportionality is k, then we have the following equations:
x1/ y1 = k
x2/ y2 = k
x3/ y3 = k
So, any other table that satisfies these equations will have the same constant of proportionality as the given table.
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The sum of 18 and a number, x, equals negative 40.
Answer:
x = -58
Step-by-step explanation:
18 + x = -40
-18 -18
x = -58
