Its slope is m = 1 on the right side of the vertex, and m = - 1 on the left side of the vertex.
Absolute Value Function:
An absolute value function is a function that contains an algebraic expression within the absolute value sign. Remember that the absolute value of a number is its distance from 0 on the number line. To graph the absolute value function, select some values of x and find some ordered pairs.
In mathematics, the absolute value or modulus of the real number x, represented as.
|x| is the non-negative value of x, regardless of sign.
x is positive and |xI =-x}. For example, the absolute value of 3 is 3, and the absolute value of -3 is also 3. The absolute value of a number can be thought of as the distance from zero.
Generalizations of the absolute value of real numbers are made in a variety of mathematical contexts. For example, absolute value is also defined for complex numbers, quaternions, ordinal rings, fields, and vector spaces. Absolute value is closely related to the concepts of magnitude, distance, and norm in various mathematical and physical contexts.
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1. From the information given in the triangles, are these triangles always, sometimes, or never congruent?
A. always
B. sometimes
C. never
D. cannot be determined
On solving the provided question, we can say that - the both triangle similar triangle ABC and triangle DEF
What is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.
here,
AB = DE
BC = EF
AC = DF
so, by SSS both triangles are similar
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If b and t are real numbers such that 0<|t|<|b|, which of the following infinite series has sum 1b2 t2
Hence option (B) is a correct choice and rest all other options are incorrect
1/b^2 ∑ (-1)^k(t^2/b^2)^k
Step-by-step explanation:
Remember that the sum of infinite GP is given by the formula blow:
First term=a
Common ratio=r
S=a/1 - r
Wherever the common ratio r falls within the interval (-1,1)
When the given series is compared to the infinite sum:
First term=a
Common ratio=r
S= a/1-r = 1/b^2+t^2
Now given: |t| < |b|=0<t^2/b^2<1
S=1/B^2.1/1-(-T^2/B^2)
=A=1
R=-T^2/B^2
Writing the general form:
Hence option (B) is a correct choice.
What are real numbers simple definition?
Real numbers can be defined as the union of both rational and irrational numbers. They can be both positive or negative and are denoted by the symbol “R”. All the natural numbers, decimals and fractions come under this category.
INCOMPLETE QUESTION: if b and t are real numbers such that 0<|t|<|b|, which of the following infinite series has sum 1b2 t2
A) 1/b^2 ∑(t^2/b^2)^k.
B) 1/b^2 ∑(-1)^K(t^2/b^2)^k.
C)B^2∑(T^2/B^2)^K
D)b^2∑(-1)(t^2/b^2)^k
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A) (0,-2)
B) (0,3)
C) (-1,-1)
D) (-2,0)
please help it's due today, And please if you don't know the answers don't put any links or apps. And if you do know the answer plz help me.I'll mark as brainliest
Answer:
1) Yes
2) No
3) Yes
4) No
5) No
6) Yes
7) Yes
8) No
Step-by-step explanation:
Each equation must be increasing or decreasing by a constant amount in order for it to be linear. Graphing these equations, you can see that the linear equations will be a straight line.
A rectangle has an area of 266 square centimeters. If it's length is 19 cm, find its width
Answer: w=14 cm
Step-by-step explanation: w=A
l=266
19=14cm
Answer:
Area = length x width
so you do 266/19 = 14
hope that answers your question
Don't hesitate to comment if you don't understand something.
Step-by-step explanation:
Lesson 1. 12
At an ocean depth of 10 meters, a buoy bobs up and then down 6 meters from the ocean's depth.
Ten seconds pass from the time the buoy is at its highest point to when it is at its lowest point.
Assume at x= O the buoy is at normal ocean depth.
Find the following:
Period =
Equation of the mideline:
Amplitude =
Maximum =
Minimum =
For the described situation, y = 6sin ( (π / 10) x ) - 10 is the sine function.
What is the sine function?The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths.
They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.
Asin(Bx)+C is the usual sine function formula.
A buoy bobs 6 meters up and down.
That is, the amplitude of the buoy shifts by 6 meters both vertically and horizontally.
A=6 Amplitude
The x-axis distance that constitutes one complete oscillation is known as the period.
We are aware that it takes a buoy 10 seconds to go from its greatest position to its lowest point (half oscillation).
20 seconds make up the complete oscillation period.
⇒ 20 (B) = 2π
B=2π /20
= π/ 10
Given that the buoy is 10 meters under the ocean's surface, C equals –10.
Using the formula's whole range of values:
⇒y = 6sin ( (π/ 10) x ) - 10
The midline is the initial point.
x=0 is the first point.
⇒y=6sin(0)-10
y= -10
The line is drawn from the origin at y = -10.
Either the highest or smallest value is at the second point.
Therefore, (5,-4) and (15, -16.)
Therefore, for the described situation, y = 6sin ( (π / 10) x ) - 10 is the sine function.
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Complete question:
At an ocean depth of 10 meters, a buoy bobs up and then down 6 meters from the ocean's depth. Ten seconds pass from the time the buoy is at its highest point to when it is at its lowest point. Assume at x = 0 the buoy is at normal ocean depth. Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.
Wyatt says that 0.6 has the same value as 0.600 do you agree explain
Answer:
Yes, the zeros can be used as place holders. When using place holders, the value does not change.
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
BC = 205.8 feet
Step-by-step explanation:
We only have one side, DB, so we have to use the given angles rather than the Pythagorean theorem.
Answer:
BC ≈ 205.8 ft
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos71° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BD}{BC}[/tex] = [tex]\frac{67}{BC}[/tex] ( multiply both sides by BC )
BC × cos71° = 67 ( divide both sides by cos71° )
BC = [tex]\frac{67}{cos71}[/tex] ≈ 205.8 ft ( to the nearest tenth )
Find the inverse of the function f(x) = 2÷3x -6
Answer:
f⁻¹(x) = 3/2x +9
Step-by-step explanation:
You want the inverse of the function f(x) = 2/3x -6.
Inverse functionThe inverse function can be found by solving for y:
x = f(y)
Here, that is ...
x = 2/3y -6
x +6 = 2/3y . . . . . . . . . . . . . . add 6
y = 3/2(x +6) = 3/2x +9 . . . . multiply by 3/2
The inverse function is f⁻¹(x) = 3/2x +9.
__
Additional comment
Sometimes the division symbol ÷ is used to mean "divided by everything after this symbol." If that is the intended meaning, the function should be written as f(x) = 2/(3x -6) or f(x) = 2÷(3x -6).
We have interpreted the symbol according to the order of operations, which tells us that 2÷3x-6 means ((2÷3)·x)-6.
<95141404393>
HELP ME PLEASEE !!!!
Answer:
y=179
Step-by-step explanation:
the statement is true.
you need to replace (x) for 4 and solve
y= 40(4) + 19
y=160 + 19
y=179
it costs 179$ for 4 weeks so the statement is true
One way to compute a 15% tip for a bill is to multiply it by 0.15. A restaurant bill was $36.20. Calculate the tip.
PLEASE HELP I WILL MARK BRAINLIST
Add: (g2 – 4g4 + 5g + 9) + (–3g3 + 3g2 – 6)
Rewrite terms that are subtracted as addition of the opposite.
g2 + (–4g4) + 5g + 9 + (–3g3) + 3g2 + (–6)
Group like terms.
Combine like terms.
Write the resulting polynomial in standard form.
The resulting polynomial in standard form (b) –4g^4 –3g³ +4g² +5g +3
What is standard form of a polynomial?Suppose the considered polynomial is of only one variable.
Then, the standard form of that polynomial is the one in which all the terms with higher exponents are written on left side to those which have lower exponents.
The simplification process is described and partially carried out. We are to finish by combining like terms and writing the result in standard form.
Given
Add: (g² – 4g^4 + 5g + 9) + (–3g³ + 3g² – 6)
Combine Like Terms
g² + (–4g^4) + 5g + 9 + (–3g³) + 3g² + (–6)
The like terms are the g² terms and the constants;
= (1 +3)g² + (–4g^4) +5g +(9 +(–6)) +(–3g³)
= 4g² +(–4g^4) +5g +3 +(–3g³)
Write in Standard Form
In this form, the terms are written in order of decreasing degree.
= –4g^4 –3g³ +4g² +5g +3
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What is the inverse of
[tex]f(x) = \sqrt{x} + 6[/tex]
for
[tex]x \geqslant 0[/tex]
?
A:
[tex]f(x) = (x - 6) {}^{2} [/tex]
B:
[tex]f(x) = x {}^{2} - 6[/tex]
C:
[tex]f(x) = x {}^{2} + 6[/tex]
D:
[tex]f(x) = \sqrt{x + 6} [/tex]
A mother tracks the duration of her baby's three daily naps for a few weeks. The mean time, in minutes, and the standard deviation, SD, for each nap are recorded in the table below. 1st Nap 2nd Nap 3rd Nap Mean = 83 SD = 9 Mean = 52 SD = 6 Mean = 39 SD = 11 Use the information in the table to select the true statement. A. The 3rd nap is the least consistent in duration because its mean is the lowest. B. The 2nd nap is the least consistent in duration because its standard deviation is the lowest. C. The 1st nap is the least consistent in duration because its mean is the highest. D. The 3rd nap is the least consistent in duration because its standard deviation is the highest.
UPDATED:
Plato users: answer is now A:
"The 3rd nap is the least consistent in duration because its
standard deviation is the highest."
they just shuffled the answers, the answer choice itself is still the same, just a dif letter choice
< 26 / Jan / 2022 >
The correct answer is the last one, that the 3rd nap is the least consistent in duration because its standard deviation is the highest.
What is the standard deviation?Standard deviation is a measure of variation from the mean; it tells how different values are from the mean.
We have given that,
A mother tracks the duration of her baby's three daily naps for a few weeks. The mean time, in minutes, and the standard deviation, SD, for each nap are recorded in the table below.
Now, For that nap to have a higher standard deviation means that its values were on average more different from the mean than the others.
Thus, The correct answer is the last one, that the 3rd nap is the least consistent in duration because its standard deviation is the highest.
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What is a truth table in logic gate?
The Truth Table in logic gate is used to specify the output of the logic gate for all possible combinations of the input signals. , it is the breakdown of all the possible truth values returned by the logical expression.
What is Truth Table ?
The truth table is a tabular representation of all combinations of values for inputs and their respective outputs.
It can be called as a mathematical table which shows all possible outcomes that would occur from all the possible scenarios that are considered as factual.
Truth tables are generally used for the logic problems as in Boolean algebra and electronic circuits.
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Answer:
Step-by-step explanation:
A truth table for a logic gate is the table that specifies the logic value/state of the output of the gate for all possible combinations of the logic states of all inputs.
Let's take the example of the AND gate with two logic inputs A and B and one output Y.
A B Y
0 0 0
0 1 0
1 1 1
1 0 0
This is the truth table for the AND gate.
How can we check to make sure we factored correctly? *
Answer:
I think one of the easiest ways to check the answer to a factoring problem is to foil. This will tell you if you factored correctly. Once you have answers you put the answers back into the original equations to see if both sides are equal. These are very general ideas.
Hope this help you!:)
4) It was recommended that the trees be planted 10 feet apart. The school chose to plant the first tree 15 feet away from the property line fence and then to space the trees 10 feet apart accordingly. Write a linear equation with y representing the total distance (in ft.) away from the property line fence and x representing the number of trees used.
a) Write another linear equation for this situation but use a different form.
b) Graph the situation described in question #4.
The linear function that model this problem is y = 10x + 15 and in standard form is 10x - y = -15
What is a Linear EquationA linear equation is an algebraic equation in which each term is either a constant or a product of a constant and a single variable. It is of the form ax + b = 0, where a and b are constants and x is a variable.Sometimes, a linear function can also be said to be a linear equation which is an equation that can be written in the form Ax + By = C, where A, B, and C are constants and x and y are variables. Linear equations are used to describe relationships between two variables, and they can be used to solve a wide range of problems.
In this problem, we can write an equation in slope-intercept form.
This can be modelled in y = mx + c
To model the problem,
y = 10x + 15
a) To rewrite the problem in another form of linear equation, we can write this in the standard form.
Ax + By = C
10x - y = -15
b) The graph of the problem is attached below
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3 1/2 x 1 1/2 as a mixed number in simplest form
Answer: 8 3/4 because first find your common denominator, then solve the math and you will get 8 3/4
What is you favorite Fast Food restaurant and what do you like to get there?
(.Free .Points)
what is the volume of the cylinder below
A. 175π units
Approximately how many plant made pharmaceuticals are currently under different stages of discovery?
a. 100
b. 200
c. 300
d. 400
please select the best answer from the choices provided a b c d
Approximately 300 plants are made pharmaceuticals currently under different stages of discovery.
Why do you use the term pharmaceutical?
pharmaceutical, material used for repairing, changing, or treating organic processes as well as for illness diagnosis, treatment, or prevention. Pharma (Bachelor of Pharmacy): Course, Qualifications, Admission, Syllabus, Pay, and Scope.
What function do drugs serve?
Drugs are created, produced, and distributed by the pharmaceutical business. Its goal is not to define sickness. Drug manufacturers typically focus on ailments that have already been identified by the medical community.
The positive side effects of medications, such as those that lower blood pressure, treat infections, or reduce pain, are considered their advantages. The possibility that anything unfavorable or unexpected will occur to you as a result of using a medication is what we mean by "risks."
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What is the distance between (-5, 2) and (-9,
2)?
Answer:
4
Step-by-step explanation:
use the distace formula:
square root of (x2-x1)^2 + (y2-y1)^2
give brainliest please
hellllllllpzzzzzzzzzzzzzzz
Answer: 78°
Similar triangles are different from congruent triangles. Congruent triangles have equal angles and sides, while similar triangles have equal angles and proportional side lengths. In this case, because the triangles are similar, the angles should be equal. The sum of the angles of triangles are always 180°. Because triangle ABC has angle measures of 28° and 74°, the equation should appear as 28+74+x=180. Add the like terms to get 102. Subtract 102 on both sides to get x=78. Although we only solved for Triangle ABC, again, similar triangles have the same corresponding angle measures, so it applies to Triangle DEF, as well.
Consider the parent function f(x) below and graph
On solving the provided question, we can say that - here in graph Between the lowest number, which is 0, and the highest value, which is 5, there is a range. The range is therefore -9=y=5.
What is graphs?
Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
There is a range between the minimum value, which is 0, and the greatest value, which is 5. Thus, the range is -9=y=5.
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Line e has a slope of -7/3. Line f is parallel to line e. What is the slope of line f?
Answer:
-7/3
Step-by-step explanation:
Parallel lines have same slopes.
Peter has 30 pencils and Tony has 14,how many pencils must Tony give Peter so that peter shall have 3 times as many as Tony
Tony must give 3 pencils to Peter,
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Let Peter has x pencils and Tony has y pencils.
Then, we have equation x=3y (Peters pencils are 3 times as Tony).
Total pencils = 30+14
= 44 pencils.
So, x + y=44
Put x= 3y we get
3y+ y= 44
4y= 44
y= 11
Thus, Tony must give 3 pencils to Peter,
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Given sin(- 0) = - 1/4 and tan 0 = √15/15
What is the value of cos 0?
A. √15/60
B. -√15/4
C. √15/4
D. -√15/60
im bord yallllllll ahhh :)
Answer:
You are bord and I'm stuck in a Geometrie assignment because I have a lot of missing work so I have to submit them before June 05 :(
Step-by-step explanation:
Answer:
same
Step-by-step explanation:
- listen to music
- if u have a sibing brag to them that u have freands and they dont
- go get Starbucks
- listen to true crime stores
thats what i do
What is an equation of the line that passes through the points (-4,-3) and (3,-3)
Answer:
y=-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-3-(-3))/(3-(-4))
m=(-3+3)/(3+4)
m=0/7
m=0
y-y1=m(x-x1)
y-(-3)=0(x-(-4))
y+3=0(x+4)
y+3=0
y=0-3
y=-3