Number Zero is neither positive nor negative.
A whole number, an integer can be positive, negative, or zero but cannot be a fraction or a decimal because it is a whole number. The natural numbers (1, 2, 3,...), their opposites (-1, -2, -3,...), and zero are all considered to be integers. Numerous branches of mathematics use integers, but number theory and algebra place a special emphasis on them.
Zero is not an integer that may be either positive or negative. It is regarded as a non-negative or neutral number. The absolute value of zero is also zero in terms of magnitude. |0| = 0. In the set of integers, zero is also regarded as the identity element of addition and the absorbing element of multiplication.
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Find the length of the third side, if necessary write in simplest radical form
Answer:
1
Step-by-step explanation:
use Pythagoras as shown
Find the area of the shaded region. Write the answer in terms of pi.
the area of the shaded regions of all circles in terms of pi is a = 253.42 in², a = 215.98 yd², a = 25.13 ft², a = 201.06 yd² and a = 64.14 ft² respectively.
What is the shaded region?
The area of the shaded region is the difference between the area of the entire polygon and the area of the unshaded part inside the polygon. The area of the shaded part can occur in two ways in polygons. The shaded region can be located at the center of a polygon or the sides of the polygon.
The formula for calculating the area of a shaded segment of a circle is:
a = π ∗ r² ∗ angle/360
The area of the sector depends on the radius of the circle r and the measure of the angle t.
The area of a sector for angle t is A = t/360 ⋅ π ⋅ r²
We have given the figures with their radius and shaded region angles,
In the first figure:
radius r = 11 in and shaded region angle = 260°
so, a = π ∗ r² ∗ angle/360
a = π ∗ (11)² ∗ 260/360
a = π ∗ 121 ∗ 2/3
a = 253.42 in²
In the second figure:
radius r = 15 yd and shaded region angle = 110°
so, a = π ∗ r² ∗ 110/360
a = π ∗ (15)² ∗ 110/360
a = π ∗ 225 ∗ 11/36
a = 215.98 yd²
In the third figure:
radius r = 6 ft and shaded region angle = 80°
so, a = π ∗ r² ∗ 80/360
a = π ∗ (6)² ∗ 80/360
a = π ∗ 36 ∗ 2/9
a = 25.13 ft²
In the fourth figure:
radius r = 16 yd and shaded region angle = 90°
so, a = π ∗ r² ∗ 90/360
a = π ∗ (16)² ∗ 90/360
a = π ∗ 256 ∗ 1/4
a = 201.06 yd²
In the fifth figure:
radius r = 7 ft and shaded region angle = 150°
so, a = π ∗ r² ∗ 150/360
a = π ∗ (7)² ∗ 150/360
a = π ∗ 49 ∗ 5/12
a = 64.14 ft²
Hence, the area of the shaded regions of all circles in terms of pi is a = 253.42 in², a = 215.98 yd², a = 25.13 ft², a = 201.06 yd² and a = 64.14 ft² respectively.
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solve using subsitution. -8x-10y=12 x+2y=3
Answer:
All I know is:
Step-by-step explanation:
You have to Graph
Then Find the Empirical/Simplest Formula
After you have to Calculate the Formula Weights
Then Find the Derivative - d/dx
Last, Find the Derivative - d/dy
Sorry I don't know the real answer.
at horados matching company it takes 2 minutes to manufacture each part and 10 minutes to pack all the parts for an order. Write an expression that shows how many minutes it will take to complete an order, assuming there are x parts in an order
The expression that shows how many minutes it will take to complete an order, assuming there are x parts in an order is 2x+10y = x
How to determine the expression?The statement states that it takes 2 minutes to manufacture each part and 10 minutes to pack all the parts for an order.
Also, it is stated that there are x parts in an order
This implies that 2(x) + 10(y) = x
Opening the brackets to have
2x + 10y = x
This is to say that 2 minutes of manufacture and 10 minutes of packing will give all the parts.
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The volume of sphere is given by V = 4/3 πR3 where R is the radius of sphere. Find the rate of change of volume with respect to R.
The rate of change of volume with respect to R is 4πR².
The rate of change function is defined as the rate at which one quantity is changing with respect to another quantity. In simple terms, in the rate of change, the amount of change in one item is divided by the corresponding amount of change in another. The rate of change formula gives the relationship describing how one quantity changes in relation to the change in another quantity. The rate of change from the coordinates of y to the coordinates of x can be found out as Δy/ Δx = (y2 - y1 )/ (x2 - x1 ). For a linear function, the rate of change m is represented in the slope-intercept form for a line: y=mx+b whereas the rate of change of functions is otherwise defined as, (f(b)-f(a))/ b-a.
The volume of the sphere is:
V = (4π/3)(R³)
Differentiating volume with respect to radius gives:
dV/dR = (4π/3)× (3R²) = 4πR²
Thus, the rate of change of volume with respect to R is 4πR².
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The map shows the location of four places in a school.A coordinate plane is shown. There is a point at 5, 2 labeled Front office. There is a point at negative 6, 4 labeled Gym. There is a point at negative 4, negative 3 labeled Auditorium. There is a point at 6, negative 4 labeled Library.Paul's English class is located in the same quadrant as the library. Which of the following could be the coordinates of the English classroom
Since Paul's English class is located in the same quadrant as the library, the coordinates of the English classroom include the following: B: (−4, 5).
What is a translation?In Mathematics, the translation of a geometric figure or graph to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image or function.
On the other hand (conversely), the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image or function.
Since the library is located in the fourth quadrant in which the value on the x-coordinate (x-axis) is positive while the value on the y-coordinate (y-axis) is negative, we can reasonably infer and logically deduce that its coordinates would be translated to the right and then downward.
In conclusion, the coordinates of the English classroom would most likely have negative x-coordinate (x-axis) and a positive y-coordinate (y-axis);
Coordinates of the English classroom = (-4, 5).
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Complete Question:
The map shows the location of four places in a school.
A coordinate plane is shown. There is a point at 5, 2 labeled Front office. There is a point at negative 6, 4 labeled Gym. There is a point at negative 4, negative 3 labeled Auditorium. There is a point at 6, negative 4 labeled Library.
Paul's English class is located in the same quadrant as the library. Which of the following could be the coordinates of the English classroom?
A: (4, 5)
B: (−4, 5)
C: (−4, −5)
D: (4, −5)
I want to be done w school so if you could help a girl out :) WITHOUT GUESSING would be great
We can see here that assuming is solving a linear system and in the process of solving it, the person gets a final statement of 5 = 0, the true statement will be: D. None of these statements are true.
What is a linear system?A linear system is a set of one or more linear equations involving the same variables. The goal is to find the values of the variables that simultaneously satisfy all the equations in the system.
A linear equation of the form 5 = 0 has no solutions, since 5 is not equal to 0. In this case, if you graph the equation on a coordinate plane, it will be a straight line with no points on the line satisfying the equation.
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A heptagon ha two angle of (3x – 17)° and one angle of (4x – 36)°. The remaining angle are all (2x 13)°. Work out the ize of the larget angle in the heptagon
So, 216° is the largest angle among the heptagon.
A heptagon has 7 sides and 7 angles. We know that two of the angles are (3x – 17)° and one angle is (4x – 36)°. The remaining four angles are all (2x – 13)°.
We can find the total measure of all the angles in the heptagon by using the formula for the sum of the angles in a polygon:
(n-2) * 180 = (7-2) * 180 = 5 * 180 = 900°
We can set up an equation to find the measure of the remaining angles by subtracting the measure of the known angles from the total measure:
900 = 2(3x – 17) + (4x – 36) + 4(2x – 13)
Expanding and simplifying the equation:
900 = 6x – 34 + 4x – 36 + 8x – 52
900 = 18x – 122
Now we can solve for x:
18x = 1022
x = 57
Now we know that one of the angle is (4x – 36) = (4*57 - 36) = 216°
That is the largest angle among the heptagon.
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how much f(x) if f(2x-3)=3x-4
Photo is answer
I need step by step
Thank you
Answer
a=3/2
b=1/2
Step-by-step explanation:
let f(x)=ax+b
f(2x-3)=a(2x-3)+b
f(2x-3)=2ax-3a+b
3x-4=2ax-3a+b
3x=2ax
3=2a
a=3/2
b-3a=-4
b-3(3/2)=-4
b=1/2
Colin has drawn a bar chart to show the results from a survey about students'
favourite types of music. You are marking his work.
Which three things from the list could he do to improve the bar chart?
Use a ruler
Label the axes
Put the title at the bottom
Draw the bars with equal widths
Put no gaps between the bars
Make all the bars the same colour
The title is explains what the graph is about. Scale: The scale is the numbers that show the units used on the bar graph. Labels: Both the side and the bottom of the bar graph have a label that tells what kind of data is shown.
Which three things from the list could he do to improve the bar chart?Bar charts usually present categorical variables, discrete variables or continuous variables grouped in class intervals. They consist of an axis and a series of labelled horizontal or vertical bars. The bars depict frequencies of different values of a variable or simply the different values themselves.Move toward sustainable bartending. Encourage zero-step bartending. Organize bar materials well. Find equipment that enhances the experience and your efficiency.Show the data clearly. Showing the data clearly includes ensuring the data points can be seen but also providing meaningful text on the graph itself. Use simplicity in design of the graph. Use alignment on a common scale. Keep the visual encoding transparent. Use standard forms that work.To know more about chart visit:
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I need this really quickly!!!
3a − 7 = −4b + 1
rearrange the equation so that a is the independent variable.
Answer:
Step-by-step explanation:
3a-7=-4b+1
3a=-4b+1-7
simplify:
3a=-4b-6
divide by 3:
a=-4b-6/3
how many meters can you swim in a minute
An average swimmer covers a distance of 1 / 30 miles in a minute, while an Olympic swimmer covers a distance of 1 / 10 miles.
How to determine the distance covered by a swimmer in a minute
This is a classic example of an open question, since there are answers as many as possible assumptions. In this case, answer change if swimmer's speed is changed. We shall consider two cases: (i) Average swimmer (v = 2 miles per hour), (ii) Olympic swimmer (v = 6 miles per hour).
Under the assumption of uniform motion, distance (s), in miles, is the product of speed (v), in miles per hour, and time (t), in hours (please notice that an hour is equal to 60 minutes):
s = v · t
Average swimmer (v = 2 mi / h, t = 1 / 60 h)
s = 2 · (1 / 60)
s = 2 / 60
s = 1 / 30 mi
Olympic swimmer (v = 6 mi / h, t = 1 / 60 h)
s = 6 · (1 / 60)
s = 6 / 60 mi
s = 1 / 10 mi
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if 0.6 < x > 67% which of the following could the value of x
The possible values of x are values greater than 0.67
How to determine the possible values of x?From the question, we have the following parameters that can be used in our computation:
0.6 < x > 67%
Express 67% as a decimal
So, we have the following representation
0.6 < x > 0.67
The above statement means that 0.6 is less than x and x is greater than 0.67
This implies that x is greater than 0.6 and x is greater than 0.67
The possible values in this case are values greater than 0.67
Take for instance, 0.7 is greater than 0.6 and 0.67
Hence, the value of x is 0.7
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Find the 97th term of the arithmetic sequence -5, -23, -41, ...
The triangles below are similar. What is the area of the larger triangle? PLS HELP
A 20 Oz alloy of platinum that costs S220 per once is mixed with an alloy that costs S400 per once. How many ounces of the S400 allow should be used to make an alloy that costs S300 per once? Please explain your equation and show work!
Answer:
16 ounces of $400 alloy
Step-by-step explanation:
Why is 1 a prime factor?
One is not considered a prime factor.
One has only a single element, which is itself, hence it is not regarded as a prime number. A prime number is a positive integer greater than 1 with just itself and the number one as its other positive divisors. Since there is only one divisor of one, one is not regarded as a prime number. Additionally, 1 does not adhere to the conventional characteristics of prime numbers and is regarded as a unit in mathematics.
For instance, a number's value is unaffected by division or multiplication by one, and it is always one when raised to any power. Since one does not meet the criteria for primes and does not share their characteristics, it is likewise excluded from the set of prime numbers.
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Which expression should you simplify to find the 90% confidence interval, given a sample of 50 people with a sample proportion of 0.65?
The expression for a 90% confidence interval, given a sample of 50 people with a sample proportion of 0.65 is B. [tex]0.65\pm1.645\sqrt{\frac{0.65(1 -0.65)}{50}[/tex].
What is a confidence interval?The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.
We know the confidence interval for a population proportion is given by the formula [tex]p\pm{Z_\frac{\alpha}{2}}\sqrt{\frac{p(1 -p)}{n}[/tex], where p = population proportion,
n = The number of samples and [tex]Z_\frac{\alpha}{2}[/tex] is the area value corresponding to the context.
Given, The 90% confidence interval, given a sample of 50 people with a sample proportion of 0.65.
We know at 90% confidence interval [tex]Z_\frac{\alpha}{2}[/tex] = 1.645.
Therefore it should be [tex]0.65\pm1.645\sqrt{\frac{0.65(1 -0.65)}{50}[/tex].
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A lampshade is in the shape of a cone. The volume 42.5 in³ and the height 6.5 in. Find the diameter of the lampshade. Use 3.14 for pi. Round to the
nearest hundredth.
Using the formula of volume of a cone, the diameter of the cone is 5cm
Volume of a ConeThe volume of a cone is a measure of the amount of space inside the cone. It can be calculated using the formula:
Volume = (1/3) * π * r^2 * h
Where:
r is the radius of the base of the coneh is the height of the cone (the distance from the tip of the cone to the center of the base)π is a mathematical constant approximately equal to 3.14The formula for the volume of a cone is a product of 1/3 and the product of π, radius square and height. The unit of measurement of the volume will be the cube of the unit of measurement of the radius and height.
It's important to note that a cone has a circular base, the radius of which is the distance from the center of the base to its edge. The height of the cone is the distance from the tip of the cone to the center of the base.
In this problem, we can simply find the diameter by calculating the radius.
V = 1/3(πr²h)
Substituting the values into the formula
42.5 = 1/3(3.14 * r² * 6.5)
42.5 * 3 = 20.41 r²
127.5 = 20.41r²
r² = 6.2469
r = 2.5
But the radius of a circular body is always half the length of it's diameter
d = 2 * r
d = 2 * 2.5
d = 5
The diameter is 5cm
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What is a directed line segment and what does it mean to partition it?
The Partitions occur on the line segments that Partitions are referred or called as directed line segments .
What are Directed Line Segments ?
The Directed Line Segments are defined as the line segments that has distance (length) and direction .
A line segment can be partitioned into many smaller segments which are compared/called as ratios and the Partitions that occur on line segments are referred to as Directed segments .
The Simple Definition of Partition means to separate or to divide .
let AB be any line segment and we Partition the line AB in the ratio a:b , it means that we are dividing it into (a + b) equal parts and then we find a point C which is "a" equal parts from A and "b" equal parts from B .
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A piece of a cow’s leg bone with a volume of 10 cm3 has a mass of 18 g. What is the density of the bone please answer
Answer:
Step-by-step explanation:
Density is a measure of how much mass is contained in a given volume. It is calculated by dividing the mass of an object by its volume.
To find the density of the cow's leg bone, we can use the following formula:
Density = mass / volume
In this case, the mass of the bone is 18 g, and the volume is 10 cm3. So we can plug in these values into the formula:
Density = 18 g / 10 cm3
The density of the bone is 1.8 g/cm3.
It's important to note that this is the density of the bone, but it's not the same density as a whole cow. Also, density can also change depending on the bone and the species.
describe the three methods used to represent a set. give an example of a set represented by each method.
On solving the provided question, we can say that a set's elements can be arranged in any sequence.
what is set?A mathematical representation of a variety of different things is called a set. Any type of mathematical object may be one of the elements or terms that make up a set. Symbols, numbers, lines, other geometric shapes, points in space, variables, and even other quantities. A proposition in mathematics is a structured group of items that can be expressed as a list or a proposition builder. Curly brackets are commonly used to identify sets. For instance, A = 1, 2, 3, 4 is a set. A set is essentially a group of items that are seen together. The items that make up a set are referred to as its members or elements. The components of a set may consist of any item, but for our purposes, they usually consist of mathematical objects like numbers, functions,
Set Representation
A capital letter indicates a set. For instance, consider sets A, B, N, etc.
Small letters are used to identify the components of a set. Each element is written using curly brackets and a comma in between.
Elements are not repeated in set notation.
A set's elements can be arranged in any sequence.
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If the legs of a right trangle are 2 and 3 inches long can the hypotenuse be 4 inches long
Answer:
No.
Step-by-step explanation:
Using the Pythagorean Theorem, a^2 + b^2 = c^2, this would not be possible, because 4 + 9 does not equal 16.
2 × 2 = 4
3 × 3 = 9
4 × 4 = 16
Answer:
No.
Step-by-step explanation:
the Pythagorean Theorem states that a²+b²=c²
where a and b are the legs and c is the hypotenuse of a right triangle
in this case we need to know if 2²+3²=4²
2²=4
3²=9
4²=16
4+9=13
13≠16
so no, the hypotenuse cannot be 4 inches long.
What is the period of the function f(x)=cos10x?
ANSWER CHOICES
A: 1/5
B: π /5
C: 5π
D: 10
Answer:
π /5
Step-by-step explanation:
Use the form a * cos(bx−c) + d
Work out the bearing d from a
Answer:
Below in bold.
Step-by-step explanation:
m < DAC = 360 -15 - 155 - 166
= 24⁰
The bearing of D from A
= 180 + 15 + 24
= 219⁰
or S 39⁰ W.
A school board is interested in knowing how the teachers in the school district feel about the new professional development plan. They create a list of the 245 teachers in the district and randomly select 40 names from the list to survey anonymously.
The 40 randomly selected teachers: sample.
The list of all teachers in the school district: frame.
The 245 teachers in the school district: population.
A sample is a subset of a population that is selected for research purposes. In this case, the school board has randomly selected 40 teachers out of the 245 teachers in the district as a sample to survey their opinions on the new professional development plan.
A population is the entire group of individuals or objects that researchers are interested in studying. In this case, the population is all 245 teachers in the school district.
A frame is the list or method used to define the population. In this case, the frame is the list of all 245 teachers in the school district that was used as the basis for selecting the random sample of 40 teachers.
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how many extraneous solutions does the equation below have?startfraction 9 over n squared 1 endfraction
The equation has one extraneous solution which is n is approximately 2.38
Here we have the following equation
=> 9/n²+1 = n+3/4
Now, we have to find the value of n by simplifying the given equation,
In order to so the simplification we have to do the cross multiplication on then, then we get the resulting expression as,
=> n²+1(n + 3) = 36
When we expand it then we get,
=> n²+1(n) + n²+1(3) = 36
=> n³ + n + 3n² +3 - 36 = 0
=> n³ + 3n² + n - 33 = 0
Here we have to find the roots are the x values where the graph intersects the x-axis.
And then we have to find the roots replace y with 0 and solve for x.
Then the value of n is obtained as
=> n ≈ 2.38
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for an arbitrary collection of open intervals, will the intersection of all of those intervals always be open?
Yes, the intersection of all of those intervals always be ope
What is set theory?The mathematical concept of well-defined groupings of objects, or sets, that are referred to as members or elements of the set. The only sets that are taken into consideration are those whose members are also sets because pure set theory only deals with sets.
According to information:Any union of open sets, or an unlimited number of open sets, is open. It is open where a finite number of open sets intersect.
A closed set is the complement of an open set (according to the space that the topology is specified on).
Thus, the intersection of all of those intervals always be open.
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how many ways are there to put 4 balls in 3 boxes if the balls are not distinguishable and neither are the boxes? (a box can be left empty.)
There are 15 ways to put 4 indistinguishable balls in 3 indistinguishable boxes.
Since the balls and boxes are indistinguishable, we only need to count the number of ways to distribute the 4 balls among the 3 boxes.
We can use the concept of stars and bars. The number of ways to distribute n indistinguishable items into r distinguishable boxes is given by (n+r-1) choose (r-1).
Here, the number of ways to distribute 4 indistinguishable balls into 3 distinguishable boxes is (4+3-1) choose (3-1) = 6 choose 2 = 15
So, there are 15 ways to put 4 indistinguishable balls in 3 indistinguishable boxes.
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Round to the nearest tenth if necessary
Answer:
obviously 16 meters to the west
