Answer:
Step-by-step explanation:
function notation
1) -13
2) -4
3) 7
4) 23
5) 13
6) -4
7) 14
8) -1
9) 15
10) 0
function operations
1) -3x^2 + 11x -4
2) 6x - 12
3) 3x^2 - 2x + 5
4) x^2 - 4x + 5
5) 27x^2 - 32x
6) 2x^5 + 4x^4 - 5x^3 - 10x^2
7) -6x^4 + 8x^3 + 15x^2 - 20x
8) 3x^4 - 2x^3 - 16x^2
Is cutting a cake into 8 pieces a chemical or a physical change? explain your answer.
Cutting a cake into 8 pieces is a chemical change.
What is a physical and chemical change?In a physical change, the substance's shape or appearance changes, but the type of matter it contains stays the same. In contrast, when matter undergoes a chemical change, at least one new substance with novel features is created.Now,
When the cake is cut, the pieces cannot be joined again and form a cake.
Hence, Cutting a cake into 8 pieces is a chemical change.
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solve the inequality 5y+9≤4
Answer:
y≤-1
Step-by-step explanation:
Subtract 9 from both sides
4-9 = -5
Divide the remainding by 5
-5 / 5 = -1
The diagram below consists of a square with unknown side lengths and an inscribed circle. What is the probability that a randomly selected point of the diagram lies within the circular region? State your answer in exact form and explain how you found it.
The probability that a randomly selected point of the diagram lies within the circular region as requested in the task content is; π/4.
What is the probability that the a randomly selected point on the diagram lies within the circular region?It follows from the task content that the probability that a randomly selected point of the diagram lies within the circular region is to determined.
This probability in discuss is equal to the ratio of the area of the circle to the area of the rectangle.
Consequently, the area of the circle is equal to;
πr².
However, since the side length of the square, which is the diameter of the circle is; 2r; it follows that it's area is;
2r × 2r = 4r².
Therefore, the probability is; πr²/4r².
When expressed in its simplest exact form, we have;
π/4.
Therefore, The probability that a randomly selected point of the diagram lies within the circular region as requested in the task content is; π/4.
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What is the measure of the base of the rectangle if the area of the triangle is ?
A. 8 ft
B. 16 ft
C. 32 ft
D. 64 ft
HELP ME
Answer:
32ft
Step-by-step explanation:
Solve equation.
27-6 d=7+4 d
Answer:
27-7=4d+6d
20=10d
d=20/10
therefore; d=2
A runner has run 1.192 kilometers of a 10-kilometer race. How much farther does h
need to run to finish the race? Show your reasoning. How do I solve this
The runner has to run more 8.808 km to finish the race.
What do we mean by mathematical operations?In mathematics, an operation is a function that converts zero or more input values (also known as "operands" or "arguments") to a well-defined output value. The number of operands determines the operation's complexity.The most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse. A constant is an arity zero operation, also known as a nullary operation. A mixed product is an example of an arity 3 operation, also known as a ternary operation.So, the runner ran 1.192 km out of 10 km.
Then, the remaining distance:
10 - 1.192 = 8.808kmTherefore, the runner has to run more 8.808 km to finish the race.
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HELPPP!! Please!! algebra stuff
The cube root of 27 is 3√t=3, which indicates that 3√t.
Cube root, or the cube root of a number, is simply the square root of that number. It can be used in various mathematical contexts to simplify complicated calculations. For example, when dealing with complex fractions and rational numbers (numbers that have a decimal point), the cube root can be used to solve problems more quickly and accurately.
We are aware that 5×5×5×5 Equals 125. Therefore, 125 is known as the cube of 5. Finding a number's cube root, on the other hand, entails doing the cube operation in reverse and is symbolised by the symbol.
A number x's cube roots are the integers y that answer the equation.
3√t is the cube root of 27,so 3√t=3 .
3√3
3×3×3=27
Hence the correct answer Is option (b) 3√t is the cube root of 27,so 3√t=3 .
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if a and b are matrix functions such that the matrices a(0) and b(0) are the same, then a and b are the same matrix function
If a and b are matrix functions such that the matrices a(0) and b(0) are the same, then a and b are the same matrix function is "false" statement.
What is matrix function?A matrix function can be defined in a variety of ways (or matrix-valued function). One manner is in which the function takes the shape of a matrix, rather than numbers, the matrix contains functions. A(t), for example, is a 2 x 2 matrix function.
Some key features regarding the matrix function are-
The function is designated only for t values that specify all 4 of the elements in the this example matrix.A matrix function can also be defined as a function which calculates a (generally square) matrix A; in other words, it is a process of mapping one matrix to another. Some researchers defined matrix functions just on complex plane ℂ. Higham (2008), for example, emphasizes the definition as involving a scalar function f and a matrix A ∈ ℂ∧(n x n).To know more about complex plane, here
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The complete question is-
If a and b are matrix functions such that the matrices a(0) and b(0) are the same, then a and b are the same matrix function. (True/False)
Find an equation for the perpendicular
bisector of the line segment whose
endpoints are (-8, -2) and (4, 6).
Answer: y=-1.5x-1
Step-by-step explanation:
A(-8,-2) B(4,6) C(x,y) - the midpoint of the line
1. Calculate the coordinates of the midpoint of the segment using the formula:
[tex]\displaystyle\\C(x,y)=(\frac{x_A+x_B}{2} ,\frac{y_A+y_B}{2})\\\\ C(x,y)=(\frac{-8+4}{2},\frac{-2+6}{2})\\\\ C(x,y)=(\frac{-4}{2} ,\frac{4}{2})\\ C(x,y)=(-2,2)\\Thus,\ C(-2,2)[/tex]
2. Find the slope of the line AB using the formula:
[tex]\displaystyle\\The\ slope=\frac{y_B-y_A}{x_B-x_A} \\\\The\ slope=\frac{6-(-2)}{4-(-8)} \\\\The\ slope=\frac{6+2}{4+8} \\\\The\ slope=\frac{8}{12} \\\\The\ slope=\frac{2}{3}[/tex]
3. Find the slope of the line perpendicular to the line AB:
[tex]\displaystyle\\The \ \perp slope=-\frac{1}{the\ slope} \\\\The \ \perp slope=-\frac{1}{\frac{2}{3} } \\\\The \ \perp slope=-\frac{3}{2}[/tex]
4. Find an equation for the perpendicular bisector of the line segment:
[tex]\displaystyle\\The \perp\ slope=\frac{y-y_C}{x-x_C} \\\\-\frac{3}{2}=\frac{y-2}{x-(-2)} \\-\frac{3}{2} =\frac{y-2}{x+2} \\[/tex]
Multiply both parts of the equation by (x+2):
[tex]\displaystyle\\y-2=(-\frac{3}{2} )(x+2)\\\\y-2=-\frac{3}{2}x+(-\frac{3}{2})(2)} \\\\y-2=-\frac{3}{2}x-3 \\\\y-2+2=-\frac{3}{2}x-3+2\\\\ y=-\frac{3}{2}x-1\\\\ y=-1.5x-1[/tex]
Question f(1)= ?
Please explain
The coordinates of the given points are:
(-2, 2)(-3, 0)(0, 1)(1, -2)What is a graph?A graph is a mathematical representation of a network that describes the connection between lines and points. A graph is made up of points with lines connecting them. The length of the lines and the position of the points are irrelevant. Each object in a graph is referred to as a node.Refer to the diagram to know the coordinates of the given points.
Therefore, the coordinates of the given points are:
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Approximately 3 people out of every 30 are left handed. About how many left handed people would you expect in a group of 140 people?
14 left handed people would you expect in a group of 140 people .
According to the question, 3 people are left handed out of every 30 people.
We can solve this using unitary method ,
out of every 30 people left handed are 3 people out of every 1 people left handed are 3/30 peopleout of every 140 people left handed are 3/30 × 140 = 14 people .
14 left handed people would you expect in a group of 140 people.
Another method:
Based on the given conditions, formulate : 140 * 3 / 30
Reduce the fraction : 14
get the result 14
Answer 14
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Find the measure of the missing angles.
d =
e
e=
fd
77°
O
31°
ƒ=
0
The measure of the missing angles are d= 77° , e= 31° ,and f = 72°.
As given in the question,
Angle e is vertically opposite to the given angle 31°
⇒Measure of angle e = 31°
Angle d is vertically opposite to the given angle 77°
⇒Measure of angle d = 77°
Angle e , Angle f and angle d are linear pairs
⇒∠e +∠f +∠d =180°
⇒31° +∠f + 77°=180°
⇒ ∠f =180° -108°
⇒ ∠f =72°
Therefore, the measure of the missing angles are d = 77° , e = 31° and
f = 72°.
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Can+you+provide+a+cut-off+time+by+which+you+can+be+99%+sure+that+the+baseball+game+would+end?
We can be 99% certain the baseball game will end by 5.22pm.
What does the term "cut-off" signify in mathematics?A cut-off Number is a number mentioned in the applicable Final Terms as such, or if no number is provided, the Specific Number is presumed to be five.
What exactly is the cut-off probability?In binary classification, the threshold or cut-off represents the chance that the prediction is correct. It represents the cost of false positives or false negatives.
According to the given information:Let the cutoff be A.
so,
P(X ≤ A) = 0.99
[tex]P\left(\frac{X-\mu}{\sigma} \leq \frac{a-2.5}{0.37}\right)=0.99[/tex]
[tex]P\left(Z \leq \frac{a-2.5}{0.37}\right)=0.99[/tex]
[tex]\Phi\left(\frac{a-2.5}{0.37}\right)=\Phi(2.33)\\[/tex]
(a - 2.5)/.37 = 2.33
a = 3.3621
a = 3hours and (0.3621 * 60) = 22 minutes
We can be 99% certain the baseball game will end by 5.22pm.
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I understand that the question you are looking for is:
The probability that the baseball game will cut into the program is 0.0885.
Can you provide a cut-off time by which you can be 99% sure that the baseball game would end?
The number of blocks has 9 in the ones place the number in the hundreds place is one more than the numbers in the tens place those two numbers equal 11 how many blocks are there?
The total number of blocks is 659.
Given that there is 9 in one's place of the total number of blocks. It is also given that the number in the hundreds place is 1 more than the number in the tens place.
If we assume x as the number on hundreds place and y as the number on tens place, then according to the question:
x=y+1 ......(1)
Also, the sum of hundreds and tens place numbers is 11.
x+y=11 ......(2)
substitute the value of x from equation (1) in equation (2)
y+1+y=11
=>2y=10
=>y=5
Now substitute the value of y in equation (1);
x=5+1
x=6
Therefore, number on the hundreds place is 6 and on the tens place is 5 and the total number is 659.
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PLEASE SHOW WORK
STEP-BY-STEP
The solutions for the expressions are given as follows:
6. y = 12.
7. w = -20.
8. x = 30.
What is the solution to expression 6?The expression is given by:
4/3y = 16.
Applying cross multiplication:
4y = 48
y = 48/4
y = 12.
What is the solution to expression 7?The expression is given by:
w/(-2.5) = 8
Applying cross multiplication:
w = -2.5 x 8
w = -20.
What is the solution to expression 6?The expression is given by:
(1/5)x - 2 = 4.
Isolating x:
(1/5)x = 6.
Applying cross multiplication:
x = 6 x 5
x = 30.
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“Rewrite each expression as an equivalent exponential expression.”
The values of the exponential expressions are follows;
3. [tex] {x}^{m \times n} [/tex]
4. [tex] {\frac{1}{4} }^{16} [/tex]
5. [tex] {( - 3)}^{5} [/tex]
6. [tex] 5.3 \cdot {( - 4)}^{11}[/tex]
7. [tex] {(2.9)}^{10} [/tex]
How can the exponential expressions be simplified?The given expression that can be used to show the Power of a Power Exponent law are as follows;
3. The Power of a Power Exponent law states that;
[tex] {( {x})^{m} }^{n} = {x}^{m \times n} [/tex]
4. The given expression is presented as follows;
[tex] { ({( \frac{1}{4} )}^{2} )}^{8} ={\frac{1}{4} }^{2 \times 8} = {\frac{1}{4} }^{16} [/tex]
5. [tex] {( - 3)}^{4} \times - 3 = {( - 3)}^{4 + 1} = {( - 3)}^{5} [/tex]
6. [tex]5.3 \cdot {( - 4)}^{11} = 5.3 \cdot {( - 4)}^{11}[/tex]
7. [tex] {(2.9)}^{2} \cdot {(2.9)}^{5} \cdot {(2.9)}^{3} = {(2.9)}^{2+5+3} [/tex]
[tex] {(2.9)}^{2+5+3}={(2.9)}^{10} [/tex]
Therefore;
[tex] {(2.9)}^{2} \cdot {(2.9)}^{5} \cdot {(2.9)}^{3} = {(2.9)}^{10} [/tex]
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-3/7 x 3/8
why do i need 2o characters hello hello hello
Answer:− 9/56
Step-by-step explanation: hope this helps you!!!!
Assume x is a random variable with discrete uniform distributionstarting from 1000 and ending to 1500.(10 points). what are the mean and variance of the distribution.
According to the question, let us consider the random variable for the discrete uniform distribution to be x.
What is the discrete uniform distribution?
Uniform distribution is another name for the rectangular distribution. And it is the family of the symmetric probability distribution. It has constant probability and the outcomes are equal in nature.
The standard formula for the mean and the variance of the distribution in terms of the lower bounds(L) and the upper bounds(U) is as follows:
Mean = (L+U)/2 ;
Variance = (L+U)/12
The value of the lower bound(L) is 1000 and the upper bound(U) is 1500.
The calculation is as follows:
Mean = (1000+1500)/2 = 1250
Variance = (1000+1500)/12 = 208.3
Therefore, the values are: mean = 1250 and variance = 208.3
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What is the measure of angle F?
Answer: D because Angle D = Angle L
2015 > Chapter 1: Measuring and Constructing Angles > Section Exercises
11
Find the measure of ZCOD.
10 20
10 170 160 150
m/COD-
do 140 130 120 110 100
A
Classify ZCOD
-88
с
-88
O
100 110 120
LCOD is a(n) acute ✓angle.
D
E
a
B
15 20 10
170 10
The measure of angle COD will be 85° and it will be an acute angle.
If an angles is less than 90°, it is known as an acute angle. If it is more than 90°, it will be an obtuse angle. And if it is equal to 90, then it is called a right angle.
Here, we are given a a figure and we need to find the measure of ∠COD.
∠COD can be written as ∠AOB - ∠AOC - ∠DOB
Here, ∠AOB = 180° (straight line)
∠AOC = 30°
and ∠DOB = 65°
Thus, ∠COD = 180 - 30 - 65
∠COD = 180 - 95
∠COD = 85°
As ∠COD is less than 90°, it will be an acute angle.
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val runs 1 1/2 miles each day. She has run for 4 days. How far has she run altogether
Answer:
6 miles
Step-by-step explanation:
1 1/2 miles x 4 days= 6 miles over 4 days
You are deciding between two landscaping companies to work on your backyard renovation. Company A charges a $50 fee to come out to your house plus $10 an hour to work. Company B charges $15 per hour and $30 to show up. How many hours will it take for both companies to equal the same price, and how much money will it cost at that time?
It will take 4 hours for both companies to equal the same price and it will cost $ 90 at that time.
There are two companies:
Company A-
It charges $ 50 to come and $ 10 per hour to work.
Let the number of hours worked be x
The equation will be:
Price of Company A = 50 + 10 x …(1)
Company B-
It charges $ 30 to come and $ 15 per hour to work.
The equation will be:
Price of Company B = 30 + 15 x …(2)
Now, for the same prices, we will equate (1) with (2):
50 + 10 x = 30 + 15 x
15 x - 10 x = 50 - 30
5 x = 20
x = 20 / 5
x = 4
At x = 4, price of the companies will be:
A = 50 + 10 (4) = 50 + 40
A = $ 90
B = 30 + 15(4)
B = 30 + 60
B = $ 90.
Therefore, it will take 4 hours for both companies to equal the same price and it will cost $ 90 at that time.
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WILL GIVE BRAINLIEST IF ANSWERED PROPERLY AND POINTS, WILL REPORT IF U SPAM
Answer:
Step-by-step explanation:
[tex]\displaystyle\\ax+by=c\\\\by=c-ax\\\\\frac{by}{b}=\frac{c-ax}{b} \\\\y=\frac{c-ax}{b}[/tex]
Answer: Basically, bottom is first. The top is second, and the middle one is last.
Step-by-step explanation:
1. Super Duper Easy, first, subtract ax, making it by = c - ax
2. Then, divide b , so by/b = c/b - ax/b
3. Becoming y = c/b - ax/b
Cuál es un número primo divisor de 30?
A. 5
B. 10
C. 6
D. 15
Convert 6000 meters into miles. Round your answer to the nearest hundredth
Answer:
3.73
Step-by-step explanation:
The hundredths place is two places to the right of the decimal so the number doesn't need to change.
Make sense and persevere point y is in the interior of
The angles ∠YWZ and ∠XWY are 36° and 144° respectively.
WX and WZ are two opposite rays, so they form a straight line.So, the angle ∠XWZ is equal to 180°.Y is an interior point of ∠XWZ.We are given that the angle ∠XWY is 4 times the angle ∠YWZ.Let the angle ∠YWZ be "x".Then, the angle ∠XWY is equal to 4x.The sum of the angles, i.e., the angle ∠XWZ is 5x.5x is equal to 180°.x is equal to 180°/5.x is equal to 36°.Thus, the angle ∠YWZ is 36°.The angle ∠XWY is 4*36°.Thus, the angle ∠XWY is 144°.To learn more about angles, visit :
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both nadia and samantha are applying to insure their car against theft. nadia lives in a secure neighborhood, where the probability of theft is 10%. samantha lives in a lesser secure neighborhood where the probability of theft is 25%. both nadia and samantha own cars worth $10,000, and are willing to pay $100 over expected loss for insurance. if the insurance company can correctly anticipate the adverse selection,
The minimum will be $ 0. If the theft occurs , company will have to pay the claim. Hence Option B will be correct.
What is probability and example?
The variety of strategies for success. the total number of outcomes that could occur. For instance, there is only one way to receive a head and there are a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). P(heads) = 12 is what we write.
$ 0 and $ 200
This is because both the insured will pay $ 100 premium each , hence total revenue of company can be $ 200 maximum.
The minimum will be $ 0. If the theft occurs , company will have to pay the claim. Hence Option B will be correct.
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A map of Québec has a scale of 1:1 500 000. On map, the distance between Trois-Rivières and Québec City is 2⅝ in. What is the distance between these cities to the nearest mile?
determine the equation of the line that is parallel to the given line (y=-5x+1), through the given point (-2,3)
Answer:
y=-5x-7
Step-by-step explanation:
For lines to be parallel with one another, that means they have to have the same slope. The slope of this equation is -5
From there we have to find the b (or the y-intercept) of the new equation. To do this we plug in the slope and the x and y from the given point (-2,3) into the equation y=mx+b and solve for b:
3=-5(-2)+b
3=10+b
-7=b
Finally, we make a new equation with the b (-7) and slope (-5):
y=-5x-7
DON'T READ IF YOU DON'T WANT TO/ALREADY KNOW HOW TO DO THIS FOR A LINE PERPENDICULAR TO THE GIVEN LINE:
To find a line perpendicular to (y=-5x+1), you do everything the same as before but instead of using -5 as the slope for your new equation (including the one you use for solving for the new b) you use it's negative reciprocal. That basically means you switch the numbers numerator and denominator and switch the sign. Remember, every whole number has a denominator of 1, so it'll look like this:
-5/1 turns into 1/5
Then you use 1/5 as the slope for the new equation by plugging in the x and y of the given point and solving for b like we did before. Finally you take the 1/5 as the slope and the b you solved for and put those into a equation like you did before and bam.
If you're confused after reading that then forget everything I said.
hope this helps :D
Which conditional has the same truth value as it’s converse
All statements are true, but if you try to reverse them they won't necessarily be true.
let us start
Square ⇒ Has 4 sides
But if something has 4 sides it doesn't mean it's a square (example: rectangle)
Angle is 80° ⇒ acute angle
But acute angle is any angle below 90°, not just 80° so the reverse isn't true.
x – 17 = 4 ⇒ x = 21
And if we reverse
x = 21 ⇒ x – 17 = 4
we see that it's true for either direction.
x = 7 ⇒ |x| = 7
But |x| = 7 doesn't mean that x has to be 7, x can also be -7, so the reverse isn't true.
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