What is the sign of {-z}/{-y} when z>0 and y>0 ?
Choose 1 answer:
A Positive
(B) Negative
Zero
Answers
(A) Positive
When z and y are both positive, the expression{ \(\frac{-z}{-y}\) }is equal to \(\frac{-z}{-y}\). Since both z and y are positive, -z is negative and -y is negative, so the expression \(\frac{-z}{-y}\) is equal to the positive number \(\frac{z}{\\y}\).
Therefore, the sign of {-z}/{-y} when z>0 and y>0 is positive.
So the correct answer is:
(A) Positive
What is sign?
In mathematics, a sign is a symbol that is used to represent the relative size or value of a number or expression. The most common signs used in mathematics are the plus (+) and minus (-) signs, which are used to represent positive and negative numbers, respectively.
For example, the number 5 is a positive number, and it is represented using the plus sign. On the other hand, the number -5 is a negative number, and it is represented using the minus sign.
In addition to the plus and minus signs, there are also other signs used in mathematics, such as the equal sign (=), which is used to indicate that two quantities are equal, and the inequality signs (>, <, ≥, ≤), which are used to indicate that one quantity is greater than or less than another.
Overall, signs play a vital role in mathematics as they help to indicate the size and value of numbers and expressions, and they are essential for performing various mathematical operations and solving mathematical problems.
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Related Questions
A researcher was interested in the impact of listening to different types of music on learning. She designed an extensive maze for rats and after she taught rats how to get through the maze, she randomly assigned each rat to run the maze while (a) listening to classical music, (b) listening to heavy metal music, or (c) in a quiet room (i.e., no music). The researcher measured the amount of time it took each rat to get through the maze and the number of errors made.
a. Independent Variable ? _________________ What are the levels? ________________________________
b. Dependent Variable ? _____________________________
c. What might be an extraneous variable?: ___________________________________
d. Control group? _________________ Experimental Group(s)?____________________
Answers
a.) The independent variable is the different types of music
b.) The dependent variable is the impact of listening felt by the rats
c.)An extraneous variable is the length of the maze.
d.) The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.
What is an independent and dependent variables?An independent variable is defined as the type of variable that cannot be manipulated by a researcher and isn't affected by what is being measured.
A dependent variable is the variable that can be manipulated by a researcher and is affected by what is being measured.
For question a.)
The independent variable is the different types of music
For question b.)
The dependent variable is the impact of listening felt by the rats
For question c.)
An extraneous variable is the length of the maze.
For question d.)
The control group is the rat in the quite room while the experimental groups are the ones in the maze listening to classical music, and listening to heavy metal music.
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Suppose you and 10 friends are taking a road trip for Spring Break. You plan on visiting multiple museums, national parks, and shopping locales along this trip. Your
road trip will a total of 10 days. You drive a total distance of 5000 miles. Some of the drive your average speed was 45 mph. While the rest of the trip was 70 mph.
1. How many hours were you driving each speed? Round 3 decimals
2. What distance did you drive for each speed? Round 3 decimals
Answers
Using the relation between velocity, distance and time, and supposing the group travels for 8 hours a day, it is found that:
1. You were driving 24 hours at 45 mph and 56 hours at 70 mph.
2. You drove 1080 miles at 45 mph and 3920 miles at 70 mph.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
v = d/t.
For the first part, we have that:
The velocity is of 45 mph.The distance is of d.The time is of t.Hence:
v = d/t
45 = d/t
d = 45t.
For the second part, we have that:
The velocity is of 70 mph.The distance is of 5000 - d.The time is of 80 - t. (10 days of 8 hours driving = 80 hours).Hence:
70 = (5000 - d)/(80 - t).
d = 45t, hence:
70 = (5000 - 45t)/(240 - t).
5000 - 45t = 5600 - 70t
25t = 600.
t = 600/25
t = 24. -> (80 - 24) = 56.
d = 45t = 45 x 24 = 1080 -> (5000 - 1080) = 3920.
Hence:
1. You were driving 24 hours at 45 mph and 56 hours at 70 mph.
2. You drove 1080 miles at 45 mph and 3920 miles at 70 mph.
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Can you find the surface area of a rectangular prism 2,3,4
Answers
Answer:
48
Step-by-step explanation:
4*2*3 for the 4 flaps
2*4*3 for the 2 tops
(4*2*3) + (2*4*3) = 48
Answer:
52 square inches
Step-by-step explanation:
to find the surface area of a rectangular prism the formula is
S.A.=2(l*w+l*h+w*h)
2(4*3+4*2+3*2)
=52 square inches
here l is length w is width and h is height
The price of a 9-minute phone call is $2.70. What is the price of a 15-minute phone call?
Answers
Answer:
40.5
Step-by-step explanation:
2.70×15 multiply them then you will get 40.5
Consider a group of students playing a game of tug-of-war, in which two teams pull on a rope to find which team is strongest. Each of the statements that follows describes what happens during the tug-of-war. Evaluate each statement and select the statements that are accurate.
Answers
1)
Find the value of x in
the triangle below:
17
A) 20.2
B) 18.7
C) 19.5
D) 21.1
E) 22.6
K
84⁰
65°
Mrs. Wilson
Mrs. Crane
Mr. Haynes
Ms. Lindstrom
Mr. Swasey
O Gina Wilson (All Things Algebra), 2014
Answers
The correct option is A) 20.2.
What is triangle sum?
The triangle sum is a property of triangles that states that the sum of the interior angles of a triangle is always equal to 180 degrees. In other words, if you add up the measures of the three angles inside a triangle, the result will always be 180 degrees.
Using the given information and the fact that the angles in a triangle sum to 180 degrees, we can find the value of x as follows:
Start by finding the measure of angle K by subtracting the measures of angles A and B from 180 degrees:
K = 180 - A - B
= 180 - 84 - 65
= 31 degrees
Use the law of sines to set up an equation relating the side lengths and corresponding angle measures:
sin(A)/x = sin(K)/17
Substitute the values we know into the equation and solve for x:
sin(84)/x = sin(31)/17
x = sin(84)*17/sin(31)
Using a calculator, we get:
x ≈ 20.2
Therefore, the value of x in the triangle is approximately 20.2.
So, the correct option is A) 20.2.
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Point A is located at (1, 2). Point B is located at (4, 6). Use this information to determine the length of the line, rounded to the nearest whole number.
Answers
If Point A is located at (1, 2) and Point B is located at (4, 6), the length of the line between points A and B is 5 units.
To determine the length of the line between points A and B, we can use the distance formula, which is a formula used to calculate the distance between two points in a coordinate plane. The distance formula is:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points and d is the distance between them.
Using the coordinates of points A and B, we can substitute their values into the distance formula to find the length of the line between them:
d = √((4 - 1)² + (6 - 2)²)
d = √(3² + 4²)
d = √(9 + 16)
d = √25
d = 5
Rounded to the nearest whole number, the length of the line is also 5 units.
In conclusion, we can use the distance formula to find the length of the line between two points in a coordinate plane. The distance formula uses the coordinates of the two points to calculate the distance between them. The resulting distance can be rounded to the nearest whole number, if needed.
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Add. Write the answer in standard form.
(9 + 5i) + (11 + 21) =
Answers
Answer:
45
Step-by-step explanation:
just add them but why is there a I
Answer:
41+5i
Step-by-step explanation:
Combine like terms; 9+11+21.
27 is 3 times as many as 9
Answers
Answer:
That is true
Step-by-step explanation:
3 × 9 = 27
hope this helps...
Answer:
yes
Step-by-step explanation:
because if you add 9 and 9 is 18 and add 9 more and is 27
Solve the system of equations by the substitution method.
y = 4x-9
y-x=-3
A.(2, -1)
B.(-4,-7)
C.(-1,2)
D.(-7,-4)
Answers
Answer:
A. (2, -1)
Step-by-step explanation:
(4x - 9) - x = -3
3x - 9 = - 3
3x = 6
x = 2
y = 4(2) - 9
y = 8 -9
y = - 1
(2, -1)
Check
-1 - 2 = -3
18. True or False. If a function has a real sero of 4 with a multiplicity of three and an imaginary
zero of 41, then it has a degree of four.
19. True or False. The imaginary number 27 is a nero of ƒ(x) = x² −x² + 4x − 4.
20. True or False. The quotient of (x²-x² − 16x + 16) + (x − 1) is an irreducible quadratic.
For problems 21-26, use the limits of a polynomial to determine the end behavior.
Find the zeros of the function and indicate multiplicity. Then write the polynomial as a
product of linear factors. Sketch the graph, showing all intercepts.
/(x)=x² + 3x²-4
21. lim f(x) =
22. lim f(x) =
23. Zeros of f(x):
24. y-intercept of f(x):
25. Product of linear and irreducible quadratic factors of fix)
26. Sketch of f(x) using end behavior and intercepts. NO Desmos graphs.
Answers
The polynomial's zeros must be located using a method of your choice, and the linear expressions that produce those zeros must then be combined in order to describe the polynomial as a product of linear factors.
What is a linear factor of a polynomial?The term "triple zero" or "zero with multiplicity 3" is used to describe this. The power p governs the behaviour close to the x-intercept if a polynomial has a factor of the type (xh)p. A zero of multiplicity p is defined as x=h. The x-axis will be touched at zeros with even multiplicities on a polynomial function's graph.
A real number is multiplied by an imaginary unit, I whose feature i2 = 1 defines it as an imaginary number. Bi is an imaginary number, while b2 is its square. For instance, the square of the fictitious integer 5i is 25. Zero is regarded as both real and fictitious by definition.
You must first determine the polynomial's zeros using the method of your choice, and then combine the linear equations that result in those zeros. If you factor, you will arrive at the third degree polynomial, which must then be sorted through.
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Which crime is often alcohol related?
O a. theft
Ob. tax fraud
O c. trespassing
O d. domestic violence
Answers
The crime that is often alcohol related is domestic violence. That is option D.
What is domestic violence?Domestic violence is defined as an abusive relationship that exist between two or more individuals that are closely related by blood or marriage.
The causes of domestic violence include the following:
History of violent victimization.Attention deficits, hyperactivity, or learning disorders.History of early aggressive behavior.Involvement with drugs, alcohol, or tobaccoTherefore, alcohol intake can lead to domestic violence because it can cause the abusive partner to have a reduction in cognitive and physical functions that impair self-control, with the consequent effect of reducing the ability to resolve conflicts nonviolently.
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Write -4.74 as a mixed number
Answers
Answer:
4.75 = 475/100 = 19/4 = 4 3/4
Approximate value(s):
4.75 =~ 4 (error = -15.789473%)
\( - 4.74\)
\( = - 4 + 0.74\)
\( = - 4 + \frac{74}{100} \)
\( = - 4 + \frac{37}{50} \)
\( - 4 \frac{37}{50} \)
The figure below shows a circle with center A, diameter IP, and tangents SL, PL, and IC. Which of the angles must be right angles? Select all that apply.
Answers
Answer:
ASC, AIC, APL
Step-by-step explanation:
Tangents make right angles with the center of the circle, so any point angle starting a the center leading to the tangent will be a right angle
Answer:
\( \angle ASC \) , \( \angle AIC \) and \( \angle APL \)Step-by-step explanation:
To find:-
Which angles would be 90⁰ .Answer:-
We are here given that, SL , PL and IC are tangents . Tangents are lines which touch the circle at only one point. Also , there is a Theorem, which is ,
Theorem:-
A tangent to a circle is perpendicular to the radius at the point of contact .From this , we can say that the angles,
\( \angle ASC \) , \( \angle AIC \) and \( \angle APL \) are right angles .
1) 70% of what number is 28?
Answers
Answer: 40
Step-by-step explanation: 40*.7 is 28 so that's the answer. How I got the answer was I did 28/.7 to get 40
Hope this helps and brainliest would be appreciated
Answer these this question please
Answers
Answer:
A=(-13)
B=23
C=7
D=35
E=(-11)
F=(-5)
G=24
H=(-12)
Answer:
A. (-8)+(-5)=-13
B. (+16)-(-7)=23
C. (-11)-(-4)=-7
D. (-17)+(+52)=35
E. (-5)+(-8)+(2)=-11
F. (+6)+(-8)-(+3)=-5
G. (-4)-(-7)+(+21)=24
H. (-1)+(-17)-(-6)=-12
Step-by-step explanation:
these answer should be correct.
Hope this helps
What is 86,503 when written in expanded form
Answers
Answer:
80,000 + 6,000 + 500 + 3
Step-by-step explanation:
Expand so that all non-zero digits are by itself. Remember to retain it's place value:
86503 = 80,000 + 6,000 + 500 + 3
~
Determine whether the following is an example of a sampling error or a non sampling error.
A researcher studied brother-sister pairs to see if there is a difference in IQ scores. Although the researcher made no mistakes in collecting the data, the findings showed that there was a difference when in reality there is no difference in IQ based on gender.
Sampling Error
Non Sampling Error
Answers
Answer:
Step-by-step explanation:
Sampling error occurs when the sample used by the research is not a representative of the whole population. While a non sampling error occurs during data sampling due to other factors than taking a sample.
Since there were no errors in collecting the data during day sampling, and it is safe to assume that the sample taken was a representative of the population, we can conclude that this is a non sampling error that was due to other factors than taking a sample.
This is one part to the question, the next five parts of the question will be revealed upon answering the previous part correctly Part one: the domain is?
Answers
Given:
The parabola equation is,
\(f\mleft(x\mright)=-3\mleft(x-3\mright)^2+3\)To find:
domain and range of the graph.
Explanation:
Domain:
The domain of a function is the set of input values for which the function is real and defined.
the function here dose not have any undefined points. So,
the domain is,
\(-\infty\: Range;The set of values of the dependent variable for which the function is defined.
for parabola ,
\(ax^2+bx+c\: \)with the vertex,
\((x_v,\: y_v)\)\(\begin{gathered} if\: a<0\: \text{ the range is,}f\mleft(x\mright)\le\: y_v \\ \text{if }\: a>0\text{ the range is, }f\mleft(x\mright)\ge\: y_v \end{gathered}\)then,
\(\begin{gathered} a=-3 \\ \text{vertices: (}x_v,\: y_v)=(3,\: 3) \end{gathered}\)hence,
\(f\mleft(x\mright)\le\: 3\)The maximum point is (3,3).
Final Answer:
Domain of the parabola is,
\(-\infty\: Range of the parabola is,\(f\mleft(x\mright)\le\: 3\)in interval notation the range is,
\(\: \: (-\infty\: ,\: 3\rbrack\)the vertex of the parabola is,
\((3,3)\)
Find all solutions of each equation on the interval 0≤ x <2pie
tan² x sec² x +2 sec²x - tan²x =2
Answers
The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.
How to solve a trigonometric equation
In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:
tan² x · sec² x + 2 · sec² x - tan² x = 2
Second, use trigonometric formulas to reduce the number of trigonometric functions:
tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2
Third, expand the equation:
tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2
tan⁴ x + 2 · tan² x = 0
Fourth, factor the expression:
tan² x · (tan² x - 2) = 0
tan² x = 0 or tan² x = 2
tan x = 0 or tan x = ± √2
Fifth, determine the solutions to trigonometric equation:
x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.
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Find the value of each variable if your answer is not an integer expresses it in simplest radical form. Pic attached. Please help me and give me a step by step on how to do it so I can do othe problems like this in the future
Answers
Answer:
Perpendicular x = 7 unit Approx.
Step-by-step explanation:
Given:
Right angle triangle
θ angle = 45'
Hypotenuse = 10
Find:
Perpendicular x
Computation:
Sin θ = Perpendicular / Hypotenuse
Sin 45 = Perpendicular / 10
0.70 = Perpendicular / 10
Perpendicular x = 7 unit Approx.
An odometer show that a car has traveled 40,000 miles by January 1, 2020. The car travels 16,000 miles each year. Write an equation that represents the number y of miles on the car’s odometer x years after 2020.
y = __
Answers
The equation will be \(y=40000+16000*x\)
How do you resolve a two-variable equation?Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.
Two variables are used in what kind of equation?Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.
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Select the correct answer.
Given the following formula, solve for t.
v = u + at
Answers
v = at + u
2. In the third paragraph, line number 10, it says "since each location on Earth has a
different magnetic signature...." what does it mean that each location on Earth has
its own magnetic signature?
Answers
Iron, which is a magnetic substance, makes up most of the core of the Earth, where the magnetic field of the planet first appears. The fluid outer core's movement around the solid inner core causes electric currents, which in turn creates and maintains the Earth's magnetic field.
How do you calculate the Earth's magnetic field?V(r) = m • r / (4 r3) = m cos / (4 r2) = scalar magnetic potential of dipole field. A spherical harmonic field expansion is used. Dipole is the first phrase (above). An approximate range of 25,000 to 65,000 nT is the Earth's magnetic field intensity (. 25 - . 65 gauss). The distance between magnetic north and true north is known as magnetic declination.The geomagnetic field, also referred to as the earth's magnetic field, is the magnetic field that emanates from the interior of the Earth into space and collides with the solar wind, a stream of charged particles that is emitted from the Sun.Fluxgate magnetometers, which provide information about the field's vector components, or proton precession magnetometers, which measure scalar field intensity, are typically used to measure the earth's magnetic field.To learn more about Earth's magnetic, refer to:
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graph y = 6/5x - 6/5
Answers
The ordered pairs are (1,0), (2,6/5),(3,12/5)
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here: The equation as y = 6x/5 - 6/5
putting (1,0) in the equation we get 6×1/5-6/5=0
Similarly we can find the ordered pair as y = 6/5x - 6/5
Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)
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Which of the following is the slope of the line y - 3x =0
Answers
Answer:
-3
Step-by-step explanation:
Answer: The slope whould be 3
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope: 3
y-intercept:
(0,0)
x|y
----
0|0
1|3
In 1995, wolves were introduced into Yellowstone Park.
The function `w\left(x\right)=14\cdot1.08^{x}` models the number of wolves, `w`, in the years since 1995, `x`.
By what percent does the number of wolves change each year?
Answers
In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.
Percent calculation.
To determine the percentage change within the number of wolves each year, we ought to look at the development rate of the work w(x) = 14 * 1.08^x.
The development rate in this case is given by the example of 1.08, which speaks to the figure by which the number of wolves increments each year. In this work, the coefficient 1.08 speaks to a development rate of 8% per year.
To calculate the percentage change, we subtract 1 from the growth rate and increase by 100 to change over it to a rate:
Percentage change = (1.08 - 1) * 100 = 0.08 * 100 = 8%.
In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.
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PLEASE HELP ASAP!!!
What is the solution to the system of equations?
A. There are infinitely many solutions.
B. There is no solution.
C. There is one unique solution (−6, 0).
D. There is one unique solution (−3, 1).
Answers
The solution of "system-of-equations" shown in the graph is (d) There is one unique solution (-3, 1).
In the graph shown, we see that the two lines representing the two equations, intersect at a single point,
So, we can say that the given system-of-equations has a "unique-solution",
On carefully observing the point of intersection, we see that, the "x-coordinate" of intersecting point is "-3", and the "y-coordinate" of the intersecting point is "1",
So, the unique solution of the "system-of-equations" occur at the point (-3,1).
Therefore, the correct option is (d).
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Provide the reflected ordered pair for each of the given ordered pairs.
Answers
Answer:
so i have a little trick for you. Reflecting across the x axis is just turning (x,y) to (x, -y)
Reflecting across the y axis is just turning (x, y) to (-x, y)
If we substitute that in we can figure it out
so
(0, 3) we have to turn it to (x, -y), so it would end up being (0, -3). That is the reflection axross the x axis.
(-4,5) we have to turn it to (-x,y) which will be (4,5) because a negative and a negative is positive. so (4,5) is the ordered pair reflected across the y axis! Hope it helps :D
Step-by-step explanation:
Can someone solve this? 6+(x+4) I just want to check my answer
Answers
The simplified expression for 6+(x+4) is x+10.
What is the equivalent expression?
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
To simplify the expression 6+(x+4), we first need to simplify the expression inside the parentheses using the distributive property:
x + 4
Then we add this simplified expression to 6:
6 + (x + 4) = 6 + x + 4
Finally, we can combine like terms to get the simplified expression:
6 + x + 4 = x + 10
Therefore, the simplified expression for 6+(x+4) is x+10.
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