explain what opposites are and give examples of real world situations
Answers
Answer:
Opposites in the numbers world refer to numbers that have the same absolute value, but one is negative, while the other is positive.
For a real world example, consider if you have your friend 5 dollars. The amount you have in the transaction is the opposite of the amount he has in the transaction.
The opposite of a number X is that number that when added to X produces zero. The opposite of X is denoted with −X.
The opposite of a number has the same absolute value as the number but an opposite sign. For example, the opposite of 1 is equal to −1 because 1 + (−1) = 0.
The opposite of zero is zero. This is the only number whose opposite is equal to itself. So zero is the neutral element with regard to addition.
In turn, the opposite of a complex number corresponds to a rotation of 180°.
Learn more about opposite numbers in https://brainly.com/question/13923790
Related Questions
What is the truth value for the following conditional statement?
p: false
q: false
∼p → ∼q
T F → T
F T → F
F F → T
T T → T
Answers
Answer:
TT→T
Step-by-step explanation:
If p is false, then ~p is true.
If q is false, then ~q is true.
Now note that
If a and b are both true, then a→b is true.If a is true, b is false, then a→b is false.If a is false, b is true, then a→b is true.If a and b are both false, then a→b is true.In your case, both~p and ~q are true, then ~p→~q is true too (or TT→T)
The truth value of the conditional statement ∼p → ∼q is true when both p and q are false, as the conditional is false only when the antecedent is true and the consequent is false.
The question is asking us to evaluate the truth value of the conditional statement ∼p → ∼q when both p and q are false. According to the rules of propositional logic, the implication (→) is false only when the antecedent is true and the consequent is false. Here, since p and q are both false, the antecedent (∼p) is true and the consequent (∼q) is also true. Therefore, the conditional statement is true. This reflects the concept that a conditional statement is always true if either the antecedent is false or the consequent is true, hence in our case the truth value of ∼p → ∼q is true.
If 5 times a number is increased by 4, the result is at least 19. Find the least possible number that satisfies these conditions.
Answers
Answer:
3
Step-by-step explanation:
5 times a number would be 5x, then increase that by 4 is 5x+4. The problem then says 5x + 4 ≥ 19. If we solve for x then we get x ≥ 3 so x has to be greater than or equal to 3, so the smallest number it could be is 3. You can even try any number smaller than 3 and see it doesn't work. even something like 2.9
Answer:
x ≥ 3
Step-by-step explanation:
Let the number = x
5 × the number = 5x
Increased by 4 means 5x +4
Is at least 19 means ≥ 19
5x + 4 ≥ 19
5x ≥ 15 Subtracted 4 from each side
x ≥ 3 Divided each side by 5
The smallest possible number that satisfies the conditions is x = 3.
Sylvia finds the solution to the system of equations by graphing y=2/3x + 1 and y = -2/3x-1 which graph shows the solution to Sylvia’s system of equations
Answers
What I don’t understand the question
Answer:
D
Step-by-step explanation:
blue line curve going down from y 0,1 red diagonal touching x 3,0 then 0,-3
PLEASE HELP me, I don't know how to solve this!
Answers
Answer:
2 < c < 12
Step-by-step explanation:
If we know two sides of a triangle a and b, the third side, c, can be no bigger than the the other two sides added together, and no smaller than the other two sides subtracted
a-b < c < a+b
We know the two sides are 7 and 5
7-5 < c < 7+5
2 < c < 12
What are the zeros of the function f(x)=(x+5) (2x-8) ?
Answers
Answer:
x = - 5, x = 4
Step-by-step explanation:
To find the zeros set f(x) = 0, that is
(x + 5)(2x - 8) = 0
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
2x - 8 = 0 ⇒ 2x = 8 ⇒ x = 4
Answer:
X = -5 or x = 4
Step-by-step explanation:
F(x)=(x+5) (2x-8)
When f(x) = 0
0 =(x+5) (2x-8)
Thus;
x+5 =0 or 2x-8 = 0
Therefore; x= -5 or x = 4
A rectangle is drawn on a coordinate plane. Three vertices of the rectangle are points A(−7,2) , B(3,2) , and D(−7,−2) . Point C is the fourth vertex of the rectangle.
What is the distance from point B to point C?
Enter your answer in the box.
Answers
the distance from point b to c is 4 down the y-axis
The revenue from selling x necklaces is r(x) -10x. The cost of buying x necklaces is c(x) 4x 15 The profit from selling x necklaces is px) -x)-c) Write a function for p(x), the profit from selling x necklaces.
O A. p(x) 6x 15
O B. p(x) -14x-15
O C p(x) -14x + 15
O D. p(x)- 6x -15
Answers
Answer:
The correct answer is B) p(x) = -14x - 15
Step-by-step explanation:
To find this, start by writing the function as indicated.
p(x) = r(x) - c(x)
Now input the functions into the appropriate spots.
p(x) = -10x - (4x + 15)
p(x) = -10x - 4x - 15
p(x) = -14x - 15
Answer:
[tex]P(x) =14x-15[/tex]
Step-by-step explanation:
The revenue from selling x necklaces [tex]r(x)= -10x[/tex]
The cost of buying x necklaces is [tex]c(x)= 4x+15[/tex]
The profit from selling x necklaces is [tex]P(x) = r(x)- c(x)[/tex]
Replace r(x) and c(x)
[tex]P(x) =-10x-(4x+15)[/tex]
[tex]P(x) =-10x-4x-15[/tex]
[tex]P(x) =14x-15[/tex]
Julia estimates that Ron will buy $800 worth of produce from her each week. Last week, Ron bought $880 worth of produce. What is the absolute error? What is the ratio of the error to the actual amount? What is the percent error?
Answers
Answer:
-first one
80
- second one
80/880
- last one
9.09%
on edg.
Answer:
What is the absolute error?
✔ 80
What is the ratio of the error to the actual amount?
✔ 80/880
What is the percent error?
✔ 9.09%
a walkway along the diagonal of a square park is 4/5 miles long. what is the area of the park?
Answers
Answer:
[tex]\frac{8}{25}[/tex] square miles
Step-by-step explanation:
The relationship between the side length (let it be s) of a square and its diagonal (let it be d) is given by:
[tex]s=\frac{d}{\sqrt{2} }[/tex]
Since d is given as 4/5, we solve for s:
[tex]s=\frac{d}{\sqrt{2} }\\s=\frac{\frac{4}{5}}{\sqrt{2} }\\s=\frac{4}{5\sqrt{2} }[/tex]
NOW, area of square is s^2 where s is the side length.
Area = [tex]s^2=(\frac{4}{5\sqrt{2} })^2=\frac{16}{50}=\frac{8}{25}[/tex]
The area of the park is:[tex]\[\boxed{\frac{8}{25} \text{ square miles}}\][/tex]
To find the area of the square park given the length of the diagonal, we need to use the relationship between the side length of a square and its diagonal.
[tex]\[d = s\sqrt{2}\][/tex]
Given that the diagonal [tex]\( d \) is \(\frac{4}{5}\)[/tex] miles, we can set up the equation:
[tex]\[s\sqrt{2} = \frac{4}{5}\][/tex]
[tex]\[s = \frac{\frac{4}{5}}{\sqrt{2}} = \frac{4}{5\sqrt{2}}\][/tex]
Rationalize the denominator by multiplying the numerator and the denominator by [tex]\(\sqrt{2}\):[/tex]
[tex]\[s = \frac{4\sqrt{2}}{5 \cdot 2} = \frac{4\sqrt{2}}{10} = \frac{2\sqrt{2}}{5}\][/tex]
[tex]\[A = \left( \frac{2\sqrt{2}}{5} \right)^2\]\[A = \frac{(2\sqrt{2})^2}{5^2} = \frac{4 \cdot 2}{25} = \frac{8}{25}\][/tex]
Therefore, the area of the park is:
[tex]\[\boxed{\frac{8}{25} \text{ square miles}}\][/tex]
Jada walks up to a tank that can hold up to 10 gallons. When it’s active a drain empties water from the tank at a constant rate. When jada first sees the tank it contains 7 gallon three minutes later the tank contains 5 gallon. At what rate is the amount of water in the tank changing
Answers
Answer:
2/3 of a gallon per minute
Step-by-step explanation:
You can find the rate by subtracting the amount of gallons she observed and dividing it by the time.
7 - 5 = 2 and 2 gallons/3 mins = 2/3 of a gallon each minute.
The 2 Triangles are similar.
What is the ratio of the corresponding side lengths? Thanks!
Answers
Answer:
see explanation
Step-by-step explanation:
The ratios of corresponding sides are
[tex]\frac{AB}{A'B'}[/tex] = [tex]\frac{BC}{B'C'}[/tex] = [tex]\frac{AC}{A'C'}[/tex], that is
[tex]\frac{4}{2}[/tex] = [tex]\frac{9}{4.5}[/tex] = 2
If the end points of the diameter of a circle are (8,6) and (2,0), what is the standard form equation of the circle
Answers
Answer:
[tex]\large\boxed{(x-5)^2+(y-3)^2=5^2\to(x-5)^2+(y-3)^2=25}[/tex]
Step-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have the end points of a diameter (8, 6) and (2, 0). The midpoint of a diameter is a center of a circle. Half of a length of diameter is a length of a radius.
The formula of a midpoint of a segment:
[tex]\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)[/tex]
Substitute:
[tex]x=\dfrac{8+2}{2}=\dfrac{10}{2}=5\\\\y=\dfrac{6+0}{2}=\dfrac{6}{2}=3[/tex]
The center of a circle is (5, 3).
The formula of a length of a segment:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute:
[tex]d=\sqrt{(2-8)^2+(0-6)^2}=\sqrt{(-8)^2-(-6)^2}=\sqrt{64+36}=\sqrt{100}=10[/tex]
The length of a diameter is 10 units. The length of a radius r = 10 : 2 = 5 units.
Finally we have the equation of a circle:
[tex](x-5)^2+(y-3)^2=5^2[/tex]
The system of inequalities graphed here is __________. A) inconsistent. B) indeterminate. C) consistent and dependent. D) consistent and independent.
Answers
A) Inconsistent
EXPLANATION
If a system of equations has at least one solution, it is said to be consistent.
If the the system has a unique solution, then it is consistent and independent.
If the the system has infinitely many solutions, then it is consistent and dependent.
If the system of equations has no solution at all, then it is said to be inconsistent.
From the graph above, the two straight lines do not intersect because they are parallel and have different y-intercepts.
Since the two lines never meets, there is no solution for the system of equations they represent.
The correct choice is A.
Julian biked a 24 km trip to Guelph.On his way there, his average speed was 12km/h.On his way home, he stopped for a break,so his average speed was only 8km/h. What was his average speed, in km.h, for the entire round trip?
Answers
Time taken by Julian to complete 24 km trip to Guelph at 12 km/h =
[tex]\frac{24}{12}=2[/tex] hours
Time taken by Julian for return trip at 8 km/h = [tex]\frac{24}{8}=3[/tex] hours
As given, the total distance is 24 + 24 = 48 km.
And the total time is 2 + 3 = 5 hrs.
Hence, the average speed for the entire trip is = [tex]\frac{48}{5}= 9.6[/tex]
The answer is 9.6 km/hour.
Find HCF of
Question number 23
Answers
Answer: x - 2
Step-by-step explanation:
HCF is more commonly referred to as GCF (greatest common factor)
Factor each expression to see which factor(s) they have in common.
[tex]x^4 - 8x\implies x(x^3-8)\\= x\boxed{(x-2)}(x^2+4x+4)\\\\\\3x^2-8x+4\implies 3x^2-6x-2x+4\implies3x(x-2)-2(x-2)\\=(3x-2)\boxed{(x-2)}\\\\\\2x^2-5x+2\implies 2x^2-4x-x+2\implies 2x(x-2)-1(x-2)\\=(2x-1)\boxed{(x-2)}[/tex]
The only factor that all three expressions have in common is: x - 2
URGENT! IM TIMED! 2.35•2/3 in fraction form?
Answers
Answer:
Simplified: 1.56
fraction form 47/30
Answer:
Option D 47/30
Edg 2020
9282 divided by 433 with a remainder
Answers
9282 divided by 433 with a remainder is equal to 21.
Given data:
To divide 9282 divided by 433, we can use variables to represent the numbers and perform the division algebraically.
Let's denote 9282 as a dividend (D) and 433as divisor (d).
D = 9282
d = 433
We need to find the quotient (Q) when D is divided by d.
Q = D / d
Substituting the given values:
Q = 9282 / 433
To simplify the division, we can multiply both the numerator and denominator by a suitable power of 10 to eliminate the decimal point. In this case, multiplying by 10 will suffice:
Q = (9282 * 10) / (433* 10)
Q = 9282 / 433
Now, we can perform the division:
Q = 9282 / 17
So, Q = 21
The quotient is the final answer, and the remainder is 0. Therefore, 9282 divided by 433 with a remainder is equal to 21.
To learn more about equations click :
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Which relation does not represent a function?
A.
{(3, 0), (0, 3)}
B.
{(6, -2), (5, -2)}
C.
{(3, 4), (3, 5)}
D.
{(5, 5), (-5, -5)}
E.
{(1, -2), (-2, 1)}
Answers
Answer:
C. {(3, 4), (3, 5)}
Step-by-step explanation:
Each input can only go to one output to be a function. In other words, each x can only go to one y
Relation C has an x of 3 going to 2 different y's (4 and 5) so it is a relation not a function
Answer with explanation:
A relation is said to be function, if each element of domain has unique range or no two elements in image has same Preimage.
Option A
3 → 0
0→3
Relation is a Function.
Option B
6 → -2
5→-2
Relation is a function.
Option C
3→4
3→5
Two elements in Preimage has Distinct images. So this relation is not a function.
Option D
5 → 5
-5 → -5
Relation is a function.
Option E.
1 → -2
- 2→ 1
Relation is a function.
Option C: {(3, 4), (3, 5)}
Relation is not a function.
an earthquake can be felt 70 miles from its epicenter if someone is standing 50 miles east and 20 miles north of the epiccenter will they be able to feel the eacrthquake? and explain your reasoning for why they would or would not be able to feel it.
Answers
Answer:
You Would Feel It Faint Because Of Earthquakes Are Loud Rumbles Not Matter How far
Step-by-step explanation:
What is the distance from -50 to-0 on a number line
Answers
Answer:
50 units
Step-by-step explanation:
Think of it as taking steps. Each unit is a step. It will take you 50 steps to get from -50 to 0, so the distance is 50
Mathematically, end point minus starting point
0 - (-50) =
0+50 = 50
ASAP PLEASE HURRYYYY!!! a student wants to know how many one centimeter cubes will fit into a 10 cm by 8 cm by 12 CM box. what measures is the student trying to calculate?
A. height
B.perimeter
C. surface area
D. volume
Answers
Answer:
D
Step-by-step explanation:
Read the question carefully.
"how many one centimeter cubes will fit into a 10 cm by 8 cm by 12 cm box."
Volume is the amount in which how much can go in it.
Answer:
c. surface area because fit is the key word for surface area
Step-by-step explanation:
How far did Eddie Travel in all??? 30 pts
Answers
The last dot to the right would be the total distance.
So at 6 pm he had traveled 45 km.
The answer is 45.
Answer:
he traveled 10 miles
Step-by-step explanation:
He took different routes to get to his place that he needed to be
simplify the expression below: 3(7x) -2(4-x)
a. 12-2x
b. 13+2x
c. 23x-8
d. 20x-8
Answers
the correct answer is C to this question
Answer:
The answer is
Step-by-step explanation:
First we must follow the order of operation: Please, Excuse, My, Dear, Aunt, Sally; Paranthesis, Exponents, Multiplication, Division, Addition, and Subtration.
First it says to look for parenthesis, which there are; so we do that first;.
3(7x) -2 (4 - x)
^
21x - 2 (4 - x)
^
21x - 2 times 4 (btw, we took x away because 4 - x)
^ (now we do multiplcation)
21x - 8
^
13
answer is 13 + 2x
a ____ is how data values are arranged.
the part of data set where the middle values are concentrated is called the ______ for data.
A________ anticipates that there will be different answers when gathering info.
_______ is a measure that describes the spread of values in a data set.
Answers
Answer:
statistical question
Step-by-step explanation:
A distribution is the arrangement of data values. The center for data refers to the central tendency measures such as mean, median, and mode. Variability describes the spread of values, often measured by standard deviation.
Explanation:A distribution is how data values are arranged. The part of the data set where the middle values are concentrated is called the center for data. A survey anticipates that there will be different answers when gathering info. Variability is a measure that describes the spread of values in a data set.
To find the center of a data set, we can calculate measures of central tendency, which include the mean, median, and mode. The mean, or average, is the total of all data values divided by the number of values. The median is the value at the midpoint of the data set when ordered from smallest to largest, effectively splitting the data into two equal parts. The mode is the most frequently occurring value in the data set. If your data set has outliers, the median is often the best measure of the center, as it is less affected by extreme values.
When we refer to variability in a data set, we are often talking about the standard deviation, which tells us how spread out the data values are around the mean. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation suggests the values are spread out over a wider range.
Please select the answer for the question shown below.
Answers
Answer:
It has one solution
Step-by-step explanation:
3/4 z = 1/4 z - 3 + 5
Subtract 1/4 z on both sides:
2/4 z = -3 + 5
2/4 z = 2
1/4 z = 1
Substitute:
3 = 1 - 3 + 5
3 = -2 + 5
3 = 3
^^^One Solution
Solve the equation for x by graphing. 2-5^x=2^x-3
A.
x ≈ -1.25
B.
x ≈ 1.25
C.
x ≈ 0.75
D.
x ≈ -0.75
Answers
The answer is C, 0.75 :-)
Answer:
the solution is x ≈ 0.75
C is the correct option.
Step-by-step explanation:
We have to solve the equation [tex]2-5^x=2^x-3[/tex]
let us assume two equations
[tex]y=2-5^x...(i)\\\\y=2^x-3[/tex]
Now, in order to solve the equation by graphing method, we graph(i) and (ii) in same coordinate axis.
Graphs of these two equations has been shown in the attached picture.
The, x-coordinate of the intersection point will given the solution.
The x-coordinate of the intersection point is x = 0.746 which can be written as x ≈ 0.75
Therefore, the solution is x ≈ 0.75
C is the correct option.
What is 0.660 rounded to the nearest tenth
Answers
Final answer:
To round 0.660 to the nearest tenth, we find that 0.660 rounded to the nearest tenth is 0.7.
Explanation:
To round 0.660 to the nearest tenth, we need to look at the digit in the hundredth place, which is 6. Since 6 is greater than or equal to 5, we round up. The digit in the tenth place becomes 7, and all digits after the tenths place are dropped. Therefore, 0.660 rounded to the nearest tenth is 0.7.
Which of the following equations is the translation 2 units up of the graph of y = |x|? y = |x - 2| y = |x + 2| y = |x| - 2 y = |x| + 2
Answers
Answer:
y = |x| + 2
Step-by-step explanation:
∑
∞
n
=
1
−
4
(
1
3
)
n
−
1
Answers
Answer:
6
Step-by-step explanation:
The correct notation is: Summation from n = 1 to infinity of the expression:
[tex]4(\frac{1}{3} )^{n-1}[/tex]
If we expand this notation, we will find that the given summation represent the terms of a G.P and we have to find the sum of infinite terms of a G.P. By placing n=1,2,3,4,... we can find the first few terms as shown below:
[tex]4(\frac{1}{3} )^{1-1}=4\\\\ 4(\frac{1}{3} )^{2-1}=4(\frac{1}{3} ) \\\\ 4(\frac{1}{3} )^{3-1} =4(\frac{1}{3} )^{2}[/tex]
Its obvious from the above result, that the given summation represent a G.P with first term equal to 4 and common ratio of 1/3. The formula of infinite G.P is:
[tex]S=\frac{a_{1} }{1-r}[/tex]
Using the value of a1 = 4 and r = 1/3 we can calculate the given summation
[tex]S=\frac{4}{1-\frac{1}{3} }=6[/tex]
Therefore, the given summation is equal to 6.
4+x=7 describe this question in words
Answers
Answer:
3
Step-by-step explanation:
Find the value of x in the equation 4 + x = 7
Answer:
X=3
Step-by-step explanation:
4 +x =7
x =7-4
=3