The value of 2B+ 2A -2t + 20.
what is Algebra?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given:
B=-2t+1
A=t+9
we have to find the expression that is equivalent to 2A + 2B
so,
2A + 2B
=2( t + 9) + 2( -2t + 1)
=2t + 18 - 4t +2
=2t - 4t + 18 +2
=-2t + 20
Hence, the value of 2A + 2B = -2t + 20
Learn more about algebra here:
https://brainly.com/question/13715639
#SPJ1
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?
Isabel sold t-shirts at a festival and made profit of $71. She made $4 for each t-shirt she sold. Her total expenses were $25. How many t-shirts did she sell?
Answer:24
Step-by-step explanation:
71 + 25=96
96 divided by 4 equals 24
you have to add her profit and her expenses to see how much she needed to sell
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.
Learn more about Absolute value at:
brainly.com/question/28314741
#SPJ1
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%
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].
Learn more about Probability here https://brainly.com/question/10702719
#SPJ4
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.
To know more about "Ethics and Security"
Refer this link:
https://brainly.com/question/14956758
#SPJ4
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?
Solve d = rt for r
Practice problems algebra
Answer: r=d/t
Step-by-step explanation:
d=rt
d/t=rt/t
r=d/t
Answer:
[tex]r=\frac{d}{t}[/tex]
Step-by-step explanation:
[tex]d=rt[/tex]
Divide both sides by [tex]t[/tex]:
[tex]\frac{d}{t}=r[/tex]
[tex]r=\frac{d}{t}[/tex]
11. Pi (π) is the quotient of the circumference (C) and the diameter of a circle.
Type equation here.
The circle is a plane figure whose circumference is given by the formulae [tex]2\pi r[/tex]. Where r is the radius of the circle.
The area of the circle is given by the formulae [tex]\pi r^{2}[/tex] where again r is the radius of the circle and pie is the common factor in both the formulae
We also need to know that the radius of the circle is the half of the diameter of the circle and the diameter is twice the radius
From which we can derive the relation; d=2r where d is the diameter of the circle.
So, the formulae now in terms of diameter becomes [tex]\pi d[/tex] for circumference and [tex]\frac{\pi d^{2} }{4}[/tex] for area of the circle.
To learn more about area and circumference of circle visit the link:
https://brainly.com/question/11833983
#SPJ9
1. A block of aluminum occupies a volume of 22.0 mL and weighs
66.8 g. What is its density?
Answer:
3.04 g/mL
Step-by-step explanation:
density = mass/volume
density = 66.8 g / 22.0 mL
density = 3.04 g/mL
Write a multi-way selection statement that adds 1 to minors if age is less than 18, adds 1 to adults if age is 18 through 64 and adds 1 to seniors if age is 65 or older.
The solution is shown below:
What is multi-way selection?In addition to two-way selection, most programming languages provide another selection concept known as multiway selection. Multiway selection chooses among several alternatives. C has two different ways to implement multiway selection: the switch statement and else-if construct.
Given condition:
adds 1 to minors if age is less than 18, adds 1 to adults if age is 18 through 64 and adds 1 to seniors if age is 65 or older.
if age < 18:
minors += 1
else if age < 65:
adults += 1
else:
seniors += 1
Learn more about multi-way selection here:
https://brainly.com/question/16925765
#SPJ4
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.
To know more about "Probability"
Refer this link:
https://brainly.com/question/13604758
#SPJ4
1- When 5 times the number x is added to 10, the result is 35. What is the result when 3 times x is added to
6?
A. 10
B. 15
C. 21
D. 25
Answer:
C. 21
Step-by-step explanation:
5 times of x is 5x.
5x + 10 = 35
Remove 10 from both sides to get one side x, and the other side a number.
5x + 10 - 10 = 35 - 10
5x = 25
Both sides of the equation can be divided by 5.
x = 5
3 times of x is 3x.
3x + 6
Substitute in x = 5 from the earlier working.
3(5) + 6
= 15 + 6
= 21
Therefore, the result of 3 times x added to 6 is 21.
Hope this helped! ^^
What are the changes in the resistances (in ohms) corresponding to a tensile strain of 0.064 and a compressive strain of -0.0086 assuming a gage factor gf = 2.10?
ΔRc = - 1.806 are the changes in the resistances (in ohms) corresponding to a tensile strain of 0.064.
What are examples of resistance?
Resistance is characterized as a resistance to yield to something that hinders or slows something down. A youngster battling her kidnapper is an illustration of resistance. Wind against a plane's wings is an illustration of resistance.GF = ΔR/R /E
a) Tensile strain E = 0.064
so ΔR = R . E . G.F
= 100 × 0.064 × 2.10
ΔRt = 13.44
b) Compressive strain E = - 0. 0086
ΔR = R . E . G.F.
= 100 × - 0.0086 × 2.10
ΔRc = - 1.806
Learn more about resistances
brainly.com/question/11431009
#SPJ4
Which graph represents the equation 12 = 3x + 4y? Explain how you know.
Answer:
Graph A
Step-by-step explanation:
First, isolate the y variable and simplify
12 = 3x + 4y
-3x+12=4y
-(3/4)x+3=y
From here, you can tell that your graph has a negative slope and a y-intercept at 3.
Graph A is the only graph with a negative slope.
Mia uses the formula πr2 to find the area of a circle. What is πr2 an example of?.
πr2 is an example of a (D) model.
What exactly is a model?A mathematical model is a system description that makes use of mathematical concepts and language.The process of developing a mathematical model is known as mathematical modeling.Natural sciences (physics, biology, earth science, chemistry), engineering disciplines (computer science, electrical engineering), and non-physical structures such as the social sciences all use mathematical models (such as economics, psychology, sociology, and political science).The use of statistical equations to solve problems in business or military operations is a large part of the field of operations research.Mathematical models are used in music, linguistics, and philosophy (for example, intensively in analytic philosophy).A model is, for example, the πr2 method for calculating the area of a circle.
Therefore, πr2 is an example of a (D) model.
Know more about models here:
brainly.com/question/15892457
#SPJ4
The complete question is given below:
Mia uses the formula πr2 to find the area of a circle. What is πr2 an example of?
A. a robot
B. a car
C. a telescope
D. a model
3
43. Be Precise To amend the U.S. Constitution, 4
of the 50 states must approve the amendment.
If 35 states approve an amendment, will the
Constitution be amended?
45, In the voting for City Council Precinct 5, only of all e
To amend the U.S. Constitution, 4 of the 50 states must approve the amendment. The Constitution cannot be amended if 35 states approve an amendment.
What do you mean by the Constitution?Constitution is the basic principles and the laws of a nation, state, or social group that determine the powers and duties of the government and guarantee certain rights to the people in it.
We need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be amended, & that is represented like this:
35/50 >= 3/4
that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify fractions to compare easily:
35/50 >= 3/4
7/10 >= 3/4
now we need to find the least common multiplier of 10 and 4 to take fractions to a common denominator and compare easy.
Lets multiply the numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:
7/10 >= 3/4
(2/2)(7/10) >= (5/5)(3/4)
2*7/2*10 >= 5*3/5*4
14/20 >= 15/20
we can see that inequality does not hold, so,
35/50 >= 3/4
does not hold either.
Therefore, the Constitution cannot be amended.
To know more about the Constitution visit: https://brainly.com/question/11452344
#SPJ9
-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
Solve the quadratic equation by completing the square.
x²+12x+33=0
[tex]x^2 + 12x=-33 \\ \\ x^2 + 12x+36=3 \\ \\ \boxed{(x+6)^2=3} \\ \\ x+6=\pm \sqrt{3} \\ \\ \boxed{x=-6 \pm \sqrt{3}}[/tex]
f) (a² - a + b)(a + b − 2)
Answer:
Step-by-step explanation:
You order three sandwiches. The tax was 8% off and you tip 5 dollars, You pay a total of $20.66. How much does one sandwich cost?
The cost of one sandwich is $5.7
How to determine the cost of one sandwich?The given parameters are:
Order = 3
Tax = 8% off
Total cost = $20.66
Tip = $5
The cost of one sandwich is calculated as:
Total cost = Order * Cost of One (x) * (1 - tax) + Tip
This gives
20.66 = 3 * x * (1 - 8%) + 5
Subtract 5 from both sides
15.66 = 3 * x * (1 - 8%)
Make x the subject
x = 15.66/[3 * (1 - 8%)]
Evaluate
x = 5.7
Hence, the cost of one sandwich is $5.7
Read more about sales tax at:
https://brainly.com/question/1700984
#SPJ1
A 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.
To know more about self-interest surveys refer to the link https://brainly.com/question/1180423?referrer=searchResults.
#SPJ4
HELP PLS EXPLAIN THISSSS
(image included)
Answer:
The slope is [tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
To find the slope, you take 2 points and use rise/run. I used (0,1) and (4,-2) because they look like they are being touched by the line. So by looking at the graph, I have to look at how I can get from (0,1) to (4,-2). So from (0,1), I go down 3 units which makes my number -3, over the run which is 4 units to the right, which makes it positive. so I went down 3 and then went right 4, making this [tex]-\frac{3}{4}[/tex]. You could also use point-slope which means [tex]\frac{y2-y1}{x2-x1}[/tex] or [tex]\frac{-2-1}{4-0}[/tex] which equals the same thing
Find the product. Write your answer as a fraction in simplest form.
-2(-1 1/4)
Answer:
2.5
Step-by-step explanation:
Answer: 2.5
Step-by-step explanation:
Negative times negative equals positive
2 * 1.25 = 2 * 1 + .25 * 2 = 2.5
7 times what makes 2555?
365
304
200
1000
365 is your answer...
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.
To know more about the mutually exclusive events, here
https://brainly.com/question/16230603
#SPJ4
Molly's dad is five times as old as Molly is. Her dad is also as old as the sum of the ages of Molly and her older twin brothers, Dwight and Jim. The twins are both 12 years old.
How old is Molly's dad?
Answer:
30 years old
Step-by-step explanation:
5x = x + 2(12)
5x = x + 24
4x = 24
x = 6
5(x)
5(6) = 30
Pregunta 11
Sin responder
aún
Puntua como
1,0
Desmarcar
¿Cuál de las siguientes expresiones es un número natural?
O a). √2
O b). /6_6
OC). 5-√12
O d). √25
Oe). √8
What is the sequence of transformations that maps △ABC to △A′B′C′? Select from the drop-down menus to correctly identify each step. Step 1: Choose... Step 2: Choose... Two triangles on the coordinate plane. Triangle A B C has vertex A at negative 1 comma 2, vertex B at negative 2 comma 5, and vertex C at negative 5 comma 1. Triangle A prime B prime C prime has vertex A prime at 3 comma negative 2, vertex B prime at 4 comma negative 5, and vertex C prime at 7 comma negative 1.
Answer:
Step-by-step explanation:
Any 1 of the following transformations will work. There are others that are also possible.
translation up 4 units, followed by rotation CCW by 90°.
rotation CCW by 90°, followed by translation left 4 units.
rotation CCW 90° about the center (-2, -2).
Step-by-step explanation:
The order of vertices ABC is clockwise, as is the order of vertices A'B'C'. Thus, if reflection is involved, there are two (or some other even number of) reflections.
The orientation of line CA is to the east. The orientation of line C'A' is to the north, so the figure has been rotated 90° CCW. In general, such rotation can be accomplished by a single transformation about a suitably chosen center. Here, we're told there is a sequence of transformations involved, so a single rotation is probably not of interest.
If we rotate the figure 90° CCW, we find it ends up 4 units east of the final position. So, one possible transformation is 90° CCW + translation left 4 units.
If we rotate the final figure 90° CW, we find it ends up 4 units north of the starting position. So, another possible transformation is translation up 4 units + rotation 90° CCW.
Of course, rotation 90° CCW in either case is the same as rotation 270° CW.
_____
Answer:
Step-by-step explanation:
The orientation of line CA is to the east. The orientation of line C'A' is to the north, so the figure has been rotated 90° CCW. In general, such rotation can be accomplished by a single transformation about a suitably chosen center. Here, we're told there is a sequence of transformations involved, so a single rotation is probably not of interest.
If we rotate the figure 90° CCW, we find it ends up 4 units east of the final position. So, one possible transformation is 90° CCW + translation left 4 units.
