Mathematics College

Solve the following inequality: 2(x + 1) – (–x + 5) ≤ –18. A. x ≤ –9 B. x ≤ –20 C. x ≤ –37 D. x ≤ –5

Answers

Answer 1

2(x + 1) - (-x + 5) < = -18
2x + 2 + x - 5 < = -18
3x - 3 < = -18
3x < = -18 + 3
3x < = -15
x < = -15/3
x < = - 5 <==

Answer 2

Answer:

Solve the following inequality: 2(x + 1) – (–x + 5) ≤ –18. A. x ≤ –9 B. x ≤ –20 C. x ≤ –37 D. x ≤ –5

Step-by-step explanation:

2 (x + 1) - (-x + 5) ≤ -18

2x + 2 + x - 5 ≤ - 18

3x - 3 ≤ - 18

3x ≤ - 15

x ≤ - 15/3 ≤ - 5

The answer is: D. x ≤ - 5

Related Questions

Two examples where the law of detachment does not apply.

Answers

If the following statements are true, use the Law of Detachment to derive a new true statement.

1) If you are a penguin, then you live in the Southern Hemisphere.

2) You are a penguin.

Remember if p then q

The law of detachment, or modus ponens, doesn't apply when the antecedent is false or when premises lack conditional statements, making deductions invalid in these cases.

The law of detachment, also known as modus ponens, is a fundamental principle in classical logic that allows us to make valid deductions. However, there are situations where it does not apply:

Invalid Antecedent: In modus ponens, we start with a conditional statement (if-then statement) as our premise and then affirm the consequent. If the antecedent (the "if" part) of the conditional statement is false, the law of detachment cannot be applied. For example, if we have the statement "If it is raining, then the ground is wet" and we know that the ground is not wet, we cannot conclude anything about whether it's raining or not, as the antecedent is false.

Lack of a Conditional Statement: Modus ponens requires a conditional statement as its premise. If we are given unrelated or non-conditional premises, we cannot apply this rule. For instance, if we know that "John is a doctor" and "The sun is shining," we cannot use modus ponens to deduce anything because there is no conditional relationship between the statements.

In summary, while modus ponens is a valid and powerful inference rule in classical logic, it cannot be applied when the antecedent is false or when the premises do not involve conditional statements.

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Complete question below:

Could you provide two examples where the law of detachment does not apply in logic?

What is the area of parallelogram ABDC?

Answers

You can split it into two triangles and find the area of both triangles and later add them up.

A = bh/2

Triangle 1:
3*3 = 9
9/2 = 4.5

Triangle 2:
3*3 = 9
9/2 = 4.5

4.5 + 4.5 = 9

Answer: The area of the parallelogram is 9 cm^2

Hope this helps :)
Please give brainliest

Answer:

9cm

Step-by-step explanation:

The total cost for playing paintball is Php 100 per gun for rent and Php 1000 per 2000 paintballs. Assuming only 2000 paintballs is allowed for team who will play, which of the following function notation matches the situation?

Answers

For problems involving algebra, you have to formulate algebraic equations to be able to solve the problem. Algebraic equations are mathematical terms which include variables to denote the unknown numbers.

For this problem, you are to find the total cost which consists of cost for the gun rent and cost for the paintballs. Hence, your equationmust consist of two terms. The equation must be:

Total cost = 100x + 1000

The term x denotes the number of guns. Hence, it must be multiplied with 100 to determine the cost. On the otherhand, the constant 1000 is for the paintballs. Since it was given that each team must have 2000 paintballs, then it follows that they must pay 1000 Php.

at the end of the month, a medical office has 86 envelopes remaining. if the office uses 7 envelopes per day, on which day will the office likely run out of envelopes?

Answers

86/7 = 12.28 days worth

so they will run out on the 13th day of the next month

A number is K units to the left of 0 on the number line. Describe the location of its opposite

Answers

------------------------(- K)-------------0-------------(+K)-----------------

K unit to the left of 0, means K is negative.
The opposite of (-K) is (+K), both are symmetric vs. the origin "0", then its location will be +K

Using the formula in model 1, choose the correct answers for the total amount and amount of interest earned in the following compound interest problem. $500 at 4% for 5 years, compounded annually. Total Amount = $ Interest Amount =$

Answers

The formula to find the total amount is
A=p (1+r)^t
A total amount?
P present value 500
R interest rate 0.04
T time 5years
A=500×(1+0.04)^(5)=608.33

To find the interest amount just subtract the amount of the present value from the total amount
interest amount
608.33−500=108.33

Answer:

608.33

108.33

Step-by-step explanation:

Found answer in above answer.

Choose the correct description of the graph of the inequality x − 3greater than or equal to 5

Answers

not sure what the correct description is but the answer is:
x ≥ 8

Answer:

Move all terms not containing x to the right side of the inequality. x≥8

Closed circle on 8, shading to the right.

in a right triangle, what is the product of sin b and tan c and product of sin c and tan b

Answers

check the picture below.

Ed ate 3/8 of the pizza and jen ate 1/4 of the pizza. How much of the pizza is left

Answers

one third is left, i think. Sorry, I might be off.

First of all, Ed ate 3/8 of the pizza and jen ate 1/4 of the pizza which means that they are total 3/8+1/4=3/8+2/8=5/8 of the pizzas. Also, we know the pizza has portion of 1 or 8/8 in this case, so 8/8-5/8=3/8 represent the portion of pizza is left. As a result, the pizza is 3/8 left. Hope it help!

under which of the following operations are the polynomials 3x+2 and 4y-11 not closed

Answers

Lets check all the choices:

A. subtraction:

(3x+2)-(4y-11)=3x+2-4y+11=3x-4y+13

similarly, (4y-11)-(3x+2)=-3x+4y-13

both are polynomials (of 2 variables)

B. (3x+2)(4y-11)=12xy-33x+8y-22, which is a polynomial

C. (3x+2)+(4y-11)=3x+2+4y-11=3x+4y-9, which is a polynomial

D.
both [tex] \frac{3x+2}{4y-11} [/tex] and [tex] \frac{4y-1}{3x+2} [/tex] are rational expressions in 2 variables, not polynomials

Answer: D

True or false The coefficient of (x^(k)) (y^(n-k)) in the expansion of (x+y)^n equals (n choose k)

Answers

This is under the binomial theorem. A binomial theorem is an equation that predicts the sequence when a binomial is raised to certain power. The general form of the equation is (a+b)^n. The equation for the binomial theorem would be

nCk a^(n-k) b^k, where k is the kth term of the expanded form, n is the nth power. The coefficient of the term in the binomial expansion is nCk or n!/k!(n-k)!.

What are the next two numbers in the pattern 3.1, 3.11, 3.11, 33.11

Answers

33.11, 311 im pretty sure this is right, if it is not can you please correct me?

I need to simplify this equation and don't know how, please help!
[tex] \frac{ \frac{y}{x} - \frac{x}{y}}{ \frac{1}{y}-\frac{1}{x}} [/tex]

Answers

[tex]\bf \textit{difference of squares} \\ \quad \\ (a-b)(a+b) = a^2-b^2\qquad \qquad a^2-b^2 = (a-b)(a+b)\\\\ -------------------------------\\\\[/tex]

[tex]\bf \cfrac{\frac{y}{x}-\frac{x}{y}}{\frac{1}{y}-\frac{1}{x}}\implies \cfrac{\textit{LCD of \underline{xy}}}{\textit{LCD of \underline{xy} also}}\implies \cfrac{\frac{y^2-x^2}{xy}}{\frac{x-y}{xy}}\implies \cfrac{y^2-x^2}{\stackrel{ }{xy}}\cdot \cfrac{\stackrel{ }{xy}}{x-y} \\\\\\ \cfrac{y^2-x^2}{x-y}\implies \cfrac{(y-x)(y+x)}{x-y}\implies \cfrac{\stackrel{ }{(y-x)}(y+x)}{-\stackrel{ }{(y-x)}}\implies \cfrac{y+x}{-1} \\\\\\ -(y+x)\implies -y-x[/tex]

an architectural drawing lists the scale as 1/4"=1'. if a bedroom measures 2 1/2" by 3 3/4" on the drawing, how large is the bedroom?

Answers

One way to solve this type of problem is to use proportions.

1/4" equals 1 ft
2 1/4" corresponds to how many feet? Call this "x."

Then 1
--
4 1 ft
------------------ = -----------
9
--- x
4

Solve this for x. First, reduce the first set of fractions. That boils down to (1/9).

Equate (1/9) to 1/x. It's obvious that x = 9 (feet).

Use the same method to find the length of the bedroom.

Answer:

The answer is 10 ft by 15 ft

Step-by-step explanation:

2 1/2 is also 2 2/4

Since 1/4 = 1

2/4 = 2 feet

Plus the whole number being 2 from 2 2/4 equates to 8 feet

because 2 is the same as 8/4.

2 2/4 = 10 feet

Do the same with 3 3/4 and you get 15 feet total.

Resulting in 10 ft by 15ft

What is the place value for 5 in the number 12354897

Answers

It would be in the ten thousands place.

Rachel pays $15.20 for a pack of 8 towels. Find the unit price in dollars per towel .

Answers

15.20 / 8 = 1.90 per towel <==

Final answer:

The unit price of a towel is calculated by dividing the total cost of the pack ($15.20) by the number of towels in the pack (8), which equals $1.90 per towel.

Explanation:

In order to find the unit price in dollars per towel, we simply divide the total cost of the pack by the number of towels in the pack. So for Rachel who paid $15.20 for a pack of 8 towels, to find the cost per towel, you'd divide $15.20 by 8.

To calculate:

Divide the total cost by the number of items: $15.20 / 8

This equals $1.90. So, the cost per towel, or unit price, is $1.90.

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A plane travel from California and back it took one hour long on the way out than it did on the way back the planes average speed was 300 miles an hour the average speed on the way back with 350 miles an hour how many hours did the trip take

Answers

recall your d = rt, distance = rate * time

the distance the plane travelled over and back was the same distance, say "d", since it simply went over to that city and then it came back from it.

if it took say "t" hours to come back, on the way over, it took then " t + 1 ", because it took longer on the way out by 1 hour.

and we know the speed rates.... ok

[tex]\bf \begin{array}{lccclll} &distance&rate&time\\ &-----&-----&-----\\ \textit{going out}&d&300&t+1\\ \textit{coming back}&d&350&t \end{array} \\\\\\ \begin{cases} \boxed{d}=300(t+1)\\ d=350t\\ ----------\\ \boxed{300(t+1)}=350t \end{cases}[/tex]

solve for "t" to see how many hours it took on the way back.

the whole trip took then (t + 1) + t

A pallet stacked with bags of cement weighing a total of 5501 N must be pushed up a 2.30-m incline to a 75.0-cm high platform. What force, in Newtons, must be applied to get the job done?

Answers

Assume that the incline is frictionless.
Refer to the diagram shown below.

Note that 75 cm = 0.75 m.
Therefore the angle of the incline is given by
sin(x) = 0.75/2.3 = 0.3261.

The weight pushed up the incline is W = 5501 N.
The component of the weight acting down the incline is
W*sin(x) = 5501*0.3261 = 1793.9 N

The force, F, should overcome this weight acting along the incline, therefore
F = 1794 N (nearest integer)

Answer: 1794 N

if I'm going to the lake that is 60 miles away and I'm driving 40 miles per hour how long would it take for me to get there

Answers

About 1.5 hours since you would do distance divided by the rate to get the time.

Anya graphed the line (y – 2) = 3(x – 1) on the coordinate grid. The slope of her line is .

Answers

ur equation is in this form : y - y1 = m(x - x1)....in this form , point slope form, the slope can be found in the m position.

y - 2 = 3(x - 1)
y - y1 = m(x - x1)

so u see, the slope (the number in the m position) = 3

Answer:

Step-by-step explanation:

took quiz on edge

What is the inverse of y equals x squared + 2

Answers

to get the inverse relation of any expression, simply start off by doing a switcharoo on the variables, and then solve or "y".

[tex]\bf \boxed{y}=\boxed{x^2}+2\qquad inverse\implies \boxed{x}=\boxed{y^2}+2 \\\\\\ x-2=y^2\implies \sqrt{x-2}=y\impliedby f^{-1}(x)[/tex]

Which ratio is equivalent to 7 : 8?
A) 28 : 40
B) 21 : 24
C) 49 : 64

Answers

B!!!!! 21/3=7 and 24/3=8 there for 21:24=7:8

help me? idk the answer :P

Answers

[tex]\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\ a^{-{ n}} \implies \cfrac{1}{a^{ n}} \qquad \qquad \cfrac{1}{a^{ n}}\implies a^{-{ n}} \qquad \qquad a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\ -------------------------------\\\\ \left( 2^8\cdot 3^{-5}\cdot 6^0 \right)^{-2}\left( \cfrac{3^{-2}}{2^3} \right)^4\cdot 2^{28}\impliedby \textit{let's do the first group} \\\\ -------------------------------\\\\ [/tex]

[tex]\bf \left( 2^8\cdot \cfrac{1}{3^5}\cdot 1 \right)^{-2}\implies \left( \cfrac{2^8}{3^5} \right)^{-2}\implies \left( \cfrac{3^5}{2^8} \right)^{2}\implies \cfrac{3^{2\cdot 5}}{2^{2\cdot 8}}\implies \boxed{\cfrac{3^{10}}{2^{16}}}\\\\ -------------------------------\\\\ \textit{now the second group}\qquad \left( \cfrac{3^{-2}}{2^3} \right)^4\implies \left( \cfrac{\frac{1}{3^2}}{2^3} \right)^4\implies \left( \cfrac{1}{2^3\cdot 3^2} \right)^4[/tex]

[tex]\bf \cfrac{1^4}{2^{4\cdot 3}\cdot 3^{4\cdot 2}}\implies \boxed{\cfrac{1}{2^{12}\cdot 3^8}}\\\\ -------------------------------\\\\ \textit{so we end up with\qquad }\cfrac{3^{10}}{2^{16}}\cdot \cfrac{1}{2^{12}\cdot 3^8}\cdot 2^{28}\implies \cfrac{3^{10}\cdot 2^{28}}{2^{16}\cdot 2^{12}\cdot 3^8} \\\\\\ \cfrac{3^{10}\cdot 2^{28}}{2^{16+12}\cdot 3^8}\implies \cfrac{3^{10}\cdot 2^{28}}{2^{28}\cdot 3^8}\implies 3^{10}\cdot 2^{28}\cdot 2^{-28}\cdot 3^{-8}[/tex]

[tex]\bf 3^{10-8}\cdot 2^{28-28}\implies 3^2\cdot 1\implies 3^2\implies 9[/tex]

What related number sentence shows the commutative property addition 3+9=12

Answers

The related number sentence that shows the commutative property addition for the equation 3+ 9 + 12 is 9 + 3 = 12

Please take note, the commutative property of addition is
a + b = c
b + a = c
a + b = b + a

Commutative originates from the word move around or commute, therefore, commutative property refers to the act of moving stuff around. In addition, the rule is a + b = b + a; wherein from the example above, means 9 + 3 = 3 + 9. They want to say that the computation uses the Commutative Property, if at any time, a computation depends on moving stuff around

E=mc2 is one of the most recognizable equations in the world. In this task, you’ll attempt to understand it better. Let’s start with what the letters mean. The letter E stands for energy, the letter m stands for mass, and the letter c stands for the speed of light. The meaning of this equation is that you can completely convert mass into energy. a. Rewrite the equation to solve for the speed of light, c. Use rational exponents instead of roots.

Answers

[tex]\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad \sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\ -------------------------------\\\\ E=mc^2\implies \cfrac{E}{m}=c^2\implies \sqrt{\cfrac{E}{m}}=c\implies \left( \frac{E}{m} \right)^{\frac{1}{2}}=c[/tex]

What is the diameter of a circle with a circumference of 4pi?

Answers

C = πD [C=circumference, D=diameter]

4π = πD ⇒ D = 4π/π = 4 units

What is the diameter of a circle with a circumference of 4pi? = 2x radius = 8 Inches.

If 2(x -1) = 14, then x =

Answers

remember you can do anything to an equestion as long as you do it to both sides

2(x-1)=14
divide both sides by 2
x-1=7
add 1 to both sides
x=8

If the given equation is represented as "2(x - 1) = 14", then the value of the variable "x" is 8.

To solve the equation 2(x - 1) = 14 for x, we use algebraic techniques to separate x.

First, we distribute the 2 to both terms inside the brackets;

2x - 2 = 14,

Next, we separate the variable x by adding 2 to both sides of the equation:

2x - 2 + 2 = 14 + 2,

Simplifying the equation:

2x = 16,

At last , to solve for x, we divide both sides of the equation by 2:

We get,

(2x) / 2 = 16 / 2,

x = 8,

Therefore, the solution to the equation 2(x - 1) = 14 is x = 8.

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What is 24/126 simplified

Answers

Hello there!

24/126.

First, let's try to divide both numbers by 2, as the numbers in the ones place are even.

24 / 2 = 12
126 / 2 = 63

12/63

Divide both numbers by 3.

12 / 3 = 4
63 / 3 = 21

4/21. This is your simplified fraction.

I hope this helps!

24= 2*2*2*3
126= 2*3*3*7

The GCF= 2*3 or 6

Divide the numerator and denominator by the GCF
24/6=4
126/6=21

Final answer: 4/21

20. Archetypes are a type of _______ that appear throughout history.
A. motif
B. prototype
C. foreshadowing
D. subgenre
Student Answer: A
Answer: Incorrect
Answer is B Prototype

Answers

An archetype appears repeatedly throughout history. Its' a B. Prototype-an original idea that has come to be used over and over again.

For Penn Foster the answer you find the answer to this qrestion In the section called Analysis of “ Paul’s Case” 4 th paragraph an Archetype appears repeatedly throughout history -It’s a prototype . So the qrestion people are asking is. Archetypes are a type of _______ that appear throughout history? A. foreshadowing B. prototype C. subgenre D. motif

Answer true and correct B. PROTOTYPE

I made a hundred on this test for pf

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Two kinds of thread are being compared for strength. fifty pieces of each type of thread are tested under similar conditions. brand a has an average tensile strength of 78.3 kilograms with a standard deviation of 5.6 kilograms, while brand b has an average tensile strength of 87.2 kilograms with a standard deviation of 6.3 kilograms. construct a 95% confidence interval for the difference of the population means.

Answers

let x = 78.3
y = 87.2
σₓ = 5.6 and σ₍y₎ = 6.3
number of pieces n = 50
z = z-score value =1.96 in this case

A 100(1-α)% confidence interval for the difference in large sample means is:

(x – y) ± z x √( σₓ² / n+ σ₍y₎²/n)

by putting the values,
=(78.3-87.2) ± 1.96 x √(5.6² /50 + 6.3² /50)

= -8.9 ± 2.34
= [-11.24, -6.56]

Final answer:

In this case, we have two different brands of thread and we have data about their tensile strength. We calculate the standard error of the difference between their means and use that to construct a 95% confidence interval. The result suggests the average tensile strength of Brand B is significantly higher than that of Brand A.

Explanation:

To construct a 95% confidence interval for the difference of the population means between the two types of threads, we first need to calculate the standard error of the difference which is the square root of the sum of the squares of the standard deviations divided by the respective sample sizes. In this case, the sample sizes for brands A and B are both 50.

The standard error of the difference = sqrt[(5.6^2/50) + (6.3^2/50)] = approximately 1.18

Since we are trying to build a 95% confidence interval, we have to look at the z-score corresponding to this confidence level. A 95% confidence interval corresponds to 1.96 standard deviations either side of the mean, thus the z-score is 1.96.

We can then calculate the confidence interval as:
Lower limit = (78.3 - 87.2) - 1.96 x 1.18 = -11.52
Upper limit = (78.3 - 87.2) + 1.96 x 1.18 = -7.08

So the 95% confidence interval for the difference between the mean tensile strengths of the two thread types is approximately (-11.52, -7.08) kilograms.

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The Roman church reintroduced drama during the Middle Ages.TrueFalse In the 15th century, the single-sheet ancestors of today's brochures and newspapers were called _____. The following are excerpts from two different media sources, both reporting on the opening of a new coffee shop in their town. Read the excerpts and answer the question that follows.Example 1: Northdale students have a new hangout spot! A new coffee shop called Roast just opened last week on Main Street. When asked about the cool factor of the coffee shop, most students rated it at a ten out of ten. Junior Cassie Brighton said, Gotta love the free refills on iced coffees! Theres no doubt that Roast will fill up fast with all the coffee lovers from our school. This writer thinks that the new place is cool beans!Example 2: The local economy received a significant boost last week with the opening of a new coffee shop called Roast. The owners of Roast have three other successful businesses to their name, each with a yearly projected profit of over 34.7%. Roast made over $2,500 in sales during its grand opening celebration, and local economists are anticipating it to continue with the impressive profits.Comparing the two excerpts above, what are some differences you notice in tone and formality? Why might these differences exist? What object or class of objects makes up most of the solar systems mass? Behavioral models of management sees managers as being ________ than does the classical model. What is the square root of 75 in simplified form? Given the function value of the acute angle find the other five trigonometric function values cos a= Sqrt 7/7 How are folktales and fairy tales related? The Richter magnitude of an earthquake is determined from the _____. A circle is centered at the point (-3,2) and passes through the point (1,5). What's the radius What type of traffic always goes to all devices in a subnet? The mass of mercury is 330,200,000,000,000,000,000,000 kilograms. how can this number be written in scientific notation? A nurse is caring for a client in the postpartum period. when observing the clients condition, the nurse notices that the client tends to speak incoherently. the clients thought process is disoriented, and she frequently indulges in obsessive concerns. the nurse notes that the client has difficulty in relaxing and sleeping. the nurse interprets these findings as suggesting which condition? What is the 32nd term of the arithmetic sequence where a1 = 32 and a9 = 120? The Flynn effect is thought to be caused by all of the following except __________.A.schools spending more money per pupilB.a reduction in the prevalence of child malnutritionC.increased access to schoolD.advances in technology, especially in multimedia Question 1: What are the six purposes of government established by the Constitution? Answer 1: Form a more perfect union, establish justice, ensure domestic tranquility, provide for the common defense, promote the general welfare, and secure liberty.Question 2: Cite three ways in which the Federal Government promotes the general welfare that are not listed in the text.Please help!!! Will give brainliest!! write a formula for the nth term of the sequence. Identify your formula as recursive or explicit. -3,3,-3,3,-3,3 what is the solution to y=x+16 and y=-x+4??Please show work and explanation in how its done...so i can understand better cause I'm new to these problems...so i can get all the help i can get (: Does rum drinking cause church building? Jeffersons belief that the government can do only what the Constitution specifically states is known as Steam Workshop Downloader