p has an odd degree and an odd leading coefficient.
So,
As x approaches infinity, p(x) approaches negative infinity.As x approaches negative infinity, p(x) approaches infinity.a rectangular piece of metal is 5in longer than it is wide, squares of 1in long are cut from the four corners and the flaps are folded upward to form an open box. if the volume of the box is 456in^(3) , what were the original demensions of the piece of metal?
The original dimensions (length and width) of this rectangular piece of metal are 19.81 inches and 14.81 inches respectively.
How to calculate the volume of a rectangular prism?Mathematically, the volume of a rectangular prism can be calculated by using this formula:
Volume = L × W × H
Where:
L represents the length of a rectangular prism.H represents the height of a rectangular prism.W represents the width of a rectangular prism.Given the following data:
Length, L = W + 5
Since squares of 1 in long are cut from the four corners, the length and width are reduced by 2 in. Also, the height of the box would be 1 inches.
Therefore, the volume of this rectangular box is given by:
456 = (L - 2) × (W - 2) × 2
456 = (W + 5 - 2) × (W - 2) × 2
456 = (W + 3) × (W - 2) × 2
228 = (W² - 2W + 3W - 6)
228 = W² + W - 6
W² + W - 6 - 228 = 0
W² + W - 234 = 0
Next, we would solve the quadratic equation by using the quadratic formula:
[tex]W = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\\\\W = \frac{-1\; \pm \;\sqrt{1^2 - 4(1)(-234)}}{2 \times 1}\\\\W = \frac{-1\; \pm \;\sqrt{1 + 936}}{2}\\\\W = \frac{-1\; \pm \;\sqrt{937}}{2}[/tex]
Width, W = 14.81 or -15.81
Since the width cannot be negative, the value of W is equal to 14.81 inches.
For the length, we have:
Length, L = W + 5
Length, L = 14.81 + 5
Length, L = 19.81 inches.
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If 8 people consisting of 4 couples are randomly arranged in a row, find the probability that no person is next to their partner.
The Probability that no person is next to their partner is 104/105.
Probability of an event E represented by P(E) can be defined as (The number of favorable outcomes )/(Total number of outcomes).
Permutations is defined as arrangement of elements/objects in a particular way.
According to the question ,
8 people can be arranged in 8! ways = 40320ways
First let us find the probability that person is next to their partner.
4 couples can be arranged in 4! ways
and the couple itself can be arranged in 2! ways
Since there are 4 couples ,
Number of arrangement = [tex]4!(2!)^{4}[/tex]
=24x16
=384 ways
Probability that person is next to their partner = [tex]\frac{384}{40320} =\frac{1}{105}[/tex]
and the probability that no person is next to their partner is [tex]1-\frac{1}{105} =\frac{104}{105}[/tex].
Therefore , the probability that no person is next to their partner is [tex]\frac{104}{105}[/tex].
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Please help 11 points add 11/3 + (-5/6) using the number line. select the location on the number line. select the location on the number number line to plot the sum.
The value of 11/3 + (-5/6) using the number line is 17/6.
Number line:
The number line is a visual representation of numbers on a straight line.
In a number line, Zero (0) is considered to be the origin of a number line. The numbers to the left of 0 are negative numbers and the numbers to the right of 0 are all positive numbers.
Given,
Here we have to add the values 11/3 + (-5/6) by using the number line.
To solve this one,
First we have to convert the fractions into decimals,
So, the decimal equivalent of
11/3 = 3.6
-5/6 = -0.8
So, the addition of these two is
=> (11/3) + (-5/6)
=> 3.6 + (-0.8)
=> 2.8
The fraction of the number is
=> 2.8 = 17/6.
This can be expressed in the following number line.
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Evaluate the function f(x)= |x+4|−5 for
Answer:
f(-1) = |-1+4| - 5 = -2
f(0) = |0+4| -5 = -1
f(2) = |2+4| -5 = 1
Aunt Anne has a container of 24 cookies. The container has 2 oatmeal raisin cookies, and the rest are chocolate chip cookies. If Cyrus reaches in and takes a cookie without looking, is the probability of choosing a chocolate chip cookie impossible, unlikely, likely, or certain? Express the probability as a number between 0 and 1.
Answer:
Likely
11/12 aka 0.916666666667 aka 91.67%
Step-by-step explanation:
24 - 2 = 22
22/24
11/12
Likely means more than 50% but not 100% in this case.
10. How many times smaller
is 0.98 than 9.8?
distance between points -10,6 and 2, -3
Answer:
15 units
Step-by-step explanation:
calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 10, 6 ) and (x₂, y₂ ) = (2, - 3 )
d = [tex]\sqrt{(2-(-10))^2+(-3-6)^2}[/tex]
= [tex]\sqrt{(2+10)^2+(-9)^2}[/tex]
= [tex]\sqrt{12^2+81}[/tex]
= [tex]\sqrt{144+81}[/tex]
= [tex]\sqrt{225}[/tex]
= 15 units
-10+|6+-17| - - 14 show how you got the answer
Answer:
15
Step-by-step explanation:
[tex]-10+\left|6+\left(-17\right)\right|-\left(-14\right)[/tex]
[tex]=-10+\left|6-17\right|+14[/tex]
Subtract.
[tex]=-10+\left|-11\right|+14[/tex]
Now, add.
[tex]=4+\left|-11\right|[/tex]
Apply absolute rule.
[tex]=4+11[/tex]
= 15
The perimeter of a rectangle is 180 meters. If the length of the rectangle is 20 meters more than the width, what are the dimensions of the rectangle?
What must the probability of a red light be on this road so that neither road would be preferred over the other on the basis of expected number of red lights?
The probability of a red light be on this road so that neither road would be preferred over the other on the basis of expected number of red lights is 0.3375.
What is Probability:
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Math's to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.
Now,
PDF of a Binomial (n, x) distribution is
given as
p(X=x).[tex]C^n_x P^x (1-p)^(n-x)[/tex] x = 0,1,2,
Here n = 9, 2:4, p = 0.3
P(x-4)= 9^c_4(0.3)^4 (0.75)^5 = 0·1715 Ans
R Code
We will use the function pGnom() which gives the Cumulative probability of an
Probability of getting exactly 4 heads is
x <- pGnom (4,9, 0.3) - pGnom (3,9, 0.3)
(We substract 3 to get P(X = 4) since above we have P(X<4) - P(X ≤3)
b)
Expected number in a binomial distribution = np
We have to equate the Expected values
So
9x0.3 = 8xp
os, p = 0.3375.
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Rewrite each expression without using absolute value notation.
|x−1| if x > 1
The value of the expression |x-1| if x>1 without using absolute value notation is x-1.
The Absolute value of any number may be defined as the distance of the given number on a number line from the point of origin. The absolute value of any number x is given by |x|. The absolute value of any number will always give a positive value regardless of the sign of the number.
For example, the absolute value of |-2| is given by 2 and the absolute value of |2| is also given by 2. Here, in the question it is given that x>1.
=> x>1
=> x-1>0
Thus, if x-1>0 then the absolute value of the expression |x-1| is given by x-1 as x-1>0.
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Yasmin is the youngest of three siblings who ages are consecutive integers. If the sum of their ages is 57, find Yasmin's age. 17 18 19 20
Answer: 18
Step-by-step explanation:
18
If Yasmin is the youngest of three siblings who ages are consecutive integers then Yasmin's age is 18, option B is correct.
Let's assume Yasmin's age is represented by the variable "Y".
Yasmin is the youngest, so her age is the smallest integer among the three siblings' ages.
Since their ages are consecutive integers, we can represent the ages of the three siblings as Y, Y+1, and Y+2.
According to the given information, the sum of their ages is 57.
So we can write the equation:
Y + (Y+1) + (Y+2) = 57
Now, let's solve for Y:
3Y + 3 = 57
Subtract 3 from both sides:
3Y = 54
Divide both sides by 3:
Y = 18
So, Yasmin's age (Y) is 18 years old. Option B is correct.
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What are
the domain and the range of the graph?
a number divided by 3 and then subtracted by 4 is the same as -10
Answer:
-18
Step-by-step explanation:
x=???
First, we know that the number we are looking for is divisible by 3. So lets list so numbers that are divisible by 3:
all (+,-) 6,9,12,15,18,........
Second, since we know the answer has to be in the double digits from the list we can have only 3 possibles answers.
12÷3=4
4-4=0
-12÷3=-4
-4-4=-8
So 12 nor -12 cant be the answer
18÷3=6
6-4=2
-18÷3=-6
-6-4=-10
So, the answer to the problem is -18÷3-4=-10
find a proposition with three variable p, q and r that is true when at most one of the three variables is true, and false otherwise
The proposition with three variable p, q and r are as -
C = (p∧q∧¬r)∨(p∧¬q∧r)∨(¬p∧q∧r)
What is compound proposition?A proposition is defined as a statement that expresses an idea, suggestion, or plan. A proposition is the notion that death penalty is an effective way to reduce crime.
Now, as per the given question-
This compound proposition C employs the outer disjunction (∨), and it is true if and only if any one of finally three propositions is true, (p∧q∧¬r),(p∧¬q∧r),(¬p∧q∧r) is true.First, it is impossible for two or three of these propositions to be true at the same time. As an example, suppose (p∧q∧¬r) and (p∧¬q∧r) are both true, then ¬r is true (from the first conjunction) & r is true (from the second), resulting in a contradiction. All other possible options can be ruled out using the same logic.Because these propositions have become mutually exclusive, C is true if and only if one of the three is true (and false otherwise).
This is only possible if two of p,q, & r are true while the third is false.For instance, (p∧q∧¬r) is true once p and q are true but r is false.
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Please do this algebra 2 for me. Please please. You can dm in insta what you want if u solve it just to do this please
Answer:
1231938-481881388111A survey was recently qupted to support the news that the number of trees in the untied states is increasing?
A recent survey that was quoted to support the news that the number of trees in the united states is increasing is a self-interest study.
From the additional research, it was found that a logging company fully funded the survey. Self-interest studies are referred to as action that stimulates personal benefits, it helps the sponsor enjoy economic or other gains from the outcomes. A logging company that fells trees and timber so, they are more interested in the number of trees, even they have an interest in directing the people of a country that depleted numbers of trees are not being by their efforts in logging. So performing such kind of survey is own self-interest.
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Explain the difference between ethics and security. are they related? if so, how?
Information security and ethics is defined as an all encompassing term that refers to all activities needed to secure information and systems that support it in order to facilitate its ethical use
ETHICS:
Derived from the Greek word “ethos”, which means “way of living”, ethics is a branch of philosophy that is concerned with human conduct, more specifically the behaviour of individuals in society. Ethics examines the rational justification for our moral judgments; it studies what is morally right or wrong, just or unjust.
In a broader sense, ethics reflects on human beings and their interaction with nature and with other humans, on freedom, on responsibility and on justice. It can be said that in general, ethics is concerned with human independence when it focuses on the relationship that exists between humans and the world
This independence is the primary condition in ethical decision-making and in any objective analysis of the facts. Individuals demonstrate independence when, in a decision-making process, they choose to free themselves as much as possible from their conditioning. Insofar as this operation assumes a degree of lucidity that allows us to judge objectively and to decide what direction to take, it will be understood that making ethical decisions is difficult.
SECURITY:
Security for information technology (IT) refers to the methods, tools and personnel used to defend an organization's digital assets. The goal of IT security is to protect these assets, devices and services from being disrupted, stolen or exploited by unauthorized users, otherwise known as threat actors. These threats can be external or internal and malicious or accidental in both origin and nature.
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is five less than a number an equation or expressions
it hard to tell what you are saying, but if we know what the other number is, then expression.
CAN SOMEONE HELP ME ASAP PLEASE I WOULD REALLY APPRECIATE!!!
Answer:
See explanation
Step-by-step explanation:
a. f(x)=|x|
b. |x|==> -|x| ==> f(x) has been flipped over the y-axis.
-|x| ==> -2|x| ==> Then, f(x) doubled by 2, scale factor of 2
-2|x| ==> -2|x|-3 ==> Finally, f(x) became g(x) when it translated 3 units down
c. Use the transformations in part b to graph
Use the Angle Addition Postulate to find the measure of the unknown angle
Answer:
Hey there!
Step-by-step explanation:
This is ur answer....
61 + 42 = 103ABC = 103Hope it helps!
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Find the difference of 6.761 x 1012 and 4.1 x 1012. 2.661 x 100 6.351 x 100 2.661 x 1012 6.351 x 1012
The difference between 6.761 x [tex]10^{12}[/tex] and 4.1 x [tex]10^{12}[/tex] is 2.661x [tex]10^{12}[/tex].
What is subtraction?Minuend and subtrahend are the terminology used in subtraction, while difference refers to the result. The minuend is the first number; it's the number you take things from, and it has to be bigger than the other numbers. The number being subtracted is known as the subtractend, and it must be the lower number.
Given that 6.761 x [tex]10^{12}[/tex], 4.1 x [tex]10^{12}[/tex]
We need to find the subtraction value of these expressions
Now 6.761 x [tex]10^{12}[/tex] [tex]-[/tex] 4.1 x [tex]10^{12}[/tex]
= 2.661x [tex]10^{12}[/tex]
Therefore, the difference between 6.761 x [tex]10^{12}[/tex] and 4.1 x [tex]10^{12}[/tex] is 2.661x [tex]10^{12}[/tex].
Hence, option (c) is correct.
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Complete question
Find the difference of 6.761 x 10 ^12 and 4.1 x 10 ^12.
(a) 2.661 x 10 ^0
(b) 6.351 x 10 ^0
(c) 2.661 x 10 ^12
(d) 6.351 x 10 ^12
The sales force at a certain company successfully closed 94 out of 200 sales calls. What was their percent success rate?
Answer:
47%
Step-by-step explanation:
Percentage of success = 94/200 * 100
= 94/2
= 47%
through: (3, 4), perp. to x = 0
Standard form
Answer: y=4
Step-by-step explanation:
If the line is perpendicular to the y - axis and goes through the point (3,4) then it's just y=4
4. Liness and t are parallel. Find the value of x.
Answer: The value of X = 50°
Step-by-step explanation:
from diagram:
40° = 40°(vertically opposite angles)
40° + 90° + opposite side of X = 180 °(exterior angle property)
130° + opposite side of X = 180°(linear pair property)
opposite side of X = 180° - 130°
= 50°
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The population of pine bluff is 654 and is increasing at the rate of 7 per year
If the population of pine bluff is 654 and is increasing at the rate of 7 per year, then the equation will be y=654+7x and the population after 3 years will be 675.
Given that the population of pine bluff is 654 and is increasing at the rate of 7 per year.
We are required to find the equation which shows the population and the population after 3 years.
Equation is basically the relationship between two or more variables that are expressed in equal to form and can be solved to find the value of variables. It may be linear equation, quadratic equation, cubic equation and many more depending on the power of the variables that are present in the equation.
Suppose the number of years be x.
The equation which shows the population after x months be:
y=654+7x
To find the population after 3 years, we can use x=3 in the equation.
y=654+7*3
y=654+21
y=675
Hence if the population of pine bluff is 654 and is increasing at the rate of 7 per year, then the equation will be y=654+7x and the population after 3 years will be 675.
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Figure ABCD is a kite. What is the length of line segment AD? 8 units O 14 units 22 units 36 units
Length of line segment AD = 22 units .
Given : ABCD is a kite
AB and BC are congruent
AD and CD are congruent
AB = 14 units
CD = 22 units
To find : length of line segment AD
When 2 sides of a triangle are congruent , they are equal in measure ie. their magnitude is equal .
Since , AB and BC are congruent
⇒ AB = BC = 14 units
Similarly , CD = AD = 22 units
Therefore , length of line segment AD = 22 units .
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Answer: c on edge
Step-by-step explanation:
How Do I Order These From Least To Greatest Value?
Answer:
Step-by-step explanation:
-2.2*3.4=-7.48
4.2/-6=-0.7
-18/5+3/10=-3.3
-11/4-19/6=-5.91
draw a real number line, sign these on the line, you can see the order
David has 10 yd. Of material that he wiil cut into 15in. Thick mats. How many mats can David make?
Step-by-step explanation:
10 yards is equal to 360 inches. If you divided 360 inches by 15 inches, the answer will be 24. So the answer is 24 mats.
Which is the correct way to write 602,200,000,000,000,000,000,000 in scientific notation? 6022 times. 1019 6022 times. 1020 6.022 times. 1022 6.022 times. 1023
The correct way to write 602,200,000,000,000,000,000,000 in scientific notation is 6.022 [tex]*[/tex] [tex]$$10^{23[/tex].
What is meant by scientific notation?Scientific notation is a method of expressing numbers that are either too large or too small to be written in decimal form. In the United Kingdom, it is known as scientific form, standard index form, or standard form.
The proper scientific notation format is [tex]a*10^b[/tex], where an is a number or decimal number with an absolute value greater than or equal to one and less than ten, or 1 |a| 10. b is the power of ten required for scientific notation to be mathematically equivalent to the original number.
In the scientific notation, the number is written as a multiplication of a number from 1 to 9 and 10 raised to the adequate power.
602,200,000,000,000,000,000,000
= 6.202 [tex]*[/tex] 100,000,000,000,000,000,000,000.
Since 10 = [tex]10^1[/tex]; 100 = [tex]$$10^2[/tex]; 1,000 = [tex]$$10^3[/tex], etc. then
100,000,000,000,000,000,000,000 = [tex]$$10^{23[/tex].
602,200,000,000,000,000,000,000
= 6.202 [tex]*[/tex] 100,000,000,000,000,000,000,000 = 6.022 [tex]*[/tex] [tex]$$10^{23[/tex].
The correct way to write 602,200,000,000,000,000,000,000 in scientific notation is 6.022 [tex]*[/tex] [tex]$$10^{23[/tex].
Therefore, the correct answer is option d) 6.022 [tex]*[/tex] [tex]$$10^{23[/tex].
The complete question is:
Which is the correct way to write 602,200,000,000,000,000,000,000 in scientific notation?
a) 6022 [tex]*[/tex] [tex]$$10^{19[/tex]
b) 6022 [tex]*[/tex] [tex]$$10^{20[/tex]
c) 6.022 [tex]*[/tex] [tex]$$10^{22[/tex]
d) 6.022 [tex]*[/tex] [tex]$$10^{23[/tex]
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Answer: D
Explanation: 6.022 x 10^23
