Answer: [0, 396]
Step-by-step explanation:
The domain is the acceptable values of x in the function. In this case, x = t, the number of tiles. If you think about it, the minimum number of tiles is 0 (you can't have a negative number of tiles), and the maximum number of tiles is 44 (you only have 44 tiles). So, the domain for this function is from 0 to 44.
0 to 44 written in interval notation is [0,44].
The range is the acceptable values of y in the function. In this case, y = A, the area given. A(t) = 9t, so you can use the acceptable values of t to get the range. Again, the minimum area is 0 because you can't have negative area. To find the maximum area, plug in the maximum number of tiles: 9.
A(t) = 9t
A = 9(44)
A = 396
With the maximum number of tiles, 44, the area you get is 396 cm². Therefore, the acceptable values of A are from 0 to 396.
0 to 396 written in interval notation is [0, 396].
Four girls have a mean height of
1.4m. Six boys have a mean
height of 1.7m.
Work out the mean height of all 10
children.
Answer:
To find the mean height of all 10 children, we need to find the total height of all the children and divide it by the number of children. The total height of the four girls is 4 * 1.4 = <<41.4=5.6>>5.6m
The total height of the six boys is 6 * 1.7 = <<61.7=10.2>>10.2m
The total height of all 10 children is 5.6 + 10.2 = <<5.6+10.2=15.8>>15.8m
The mean height of all 10 children is 15.8/10 = <<15.8/10=1.58>>1.58m. Answer: \boxed{1.58}.
Step-by-step explanation:
How do you find the zeros and holes of a function?
To find the zeros and poles of a function, you can use the following steps:
Write the function in standard form, with the independent variable (usually x) in the denominator.Find the zeros by setting the numerator equal to zero and solving for x. In the example above, the zeros are the solutions to the equation x^2 + 3x + 2 = 0. You can solve this equation using the quadratic formula or by factoring.Find the poles by setting the denominator equal to zero and solving for x. In the example above, the poles are the solutions to the equation x - 1 = 0, which means that the pole is x = 1.Plot the zeros and poles on the complex plane. The zeros correspond to points where the function is equal to zero, and the poles correspond to points where the function is undefined.How do you find the zeros and poles of a function?Generally, It's also important to note that a function can have multiple zeros and poles, and they can be complex numbers as well as real numbers. In that case, you can use the same steps above to find all of the zeros and poles.
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CQ
How do you find the zeros and poles of a function?
Lines L and M are parallel. O 1/6 38 7 3/4 2/5 Find : m
Answer:
∠ 6 = 38°
Step-by-step explanation:
∠ 6 and 38° are vertically opposite angles and are congruent , then
∠ 6 = 38°
How do you do 300-84848393
Answer:
Step-by-step explanation:
84848093
Which function is always discontinuous?
A function can have an asymptote if it approaches a horizontal or vertical line but never touches it. There are several types of functions that can have asymptotes, including rational functions, exponential functions, and logarithmic functions.
A continuous function in mathematics is a function without discontinuities, or any sudden changes in value. If we can guarantee arbitrarily small changes in the input of a function by limiting small enough changes, then the function is continuous.
There is no function that is always discontinuous. A function is either continuous or discontinuous at a particular point, but it is not necessarily either one at all points.
For example, the function f(x) = x^2 is continuous at all points, but the function g(x) = |x| is discontinuous at x=0.
On the other hand, there are functions that are discontinuous at an infinite number of points, such as the Dirichlet function, which is defined as follows:
f(x) = { 1 if x is irrational
{ 0 if x is rational
This function is discontinuous at all rational points, but it is continuous at all irrational points
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The function f(x) = x^2 is continuous at all points, but the function g(x) = |x| is discontinuous at x=0.
On the other hand, there are functions that are discontinuous at an infinite number of points, such as the Dirichlet function, which is defined as follows:
f(x) = { 1 if x is irrational
{ 0 if x is rational
This function is discontinuous at all rational points, but it is continuous at all irrational points
II. ALWAYS, SOMETIMES, OR NEVER TRUE. Write
A
S
N
123
2.
3.
4.
5.
6.
7.
8.
9.
10.
-If the statement is ALWAYS true
-If the statement is SOMETIMES true
-If the statement is NEVER true
A diameter of a circle is a chord.
The sum of any two sides of a triangle is greater than the third side.
The sum of the squares of the legs of a right triangle is equal to the square of its
hypotenuse.
The geometric mean of two numbers is the average of their product.
A minor arc of a circle is greater than 180°.
To find the length of an arc, divide the measure of the central angle then multiply it by the
area of the circle.
Dilation can either shrink or enlarge a figure.
A line can be bisected.
Supplementary angles are congruent.
If two pairs of corresponding angles of two triangles are congruent, then the triangles are
similar.
III. Problem-solving:
1. Always (by definition)
2. Always (triangle inequality)
3. Always (Pythagorean theorem)
4. Sometimes (take x=y=1 and x=4, y=3)
5. Never (by definition)
6. Sometimes (Only if area = circumference)
7. Sometimes (Consider when scale factor = 1)
8. Never (Lines extend infinitely)
9. Sometimes (Only if both angles are right angles)
10. Always (Angle-angle similarity)
A 292929-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 777 meters per minute. At a certain instant, the bottom of the ladder is 212121 meters from the wall.
Answer: The rate of change of the distancebetween the bottom of the ladder and the wall at that instant is 6.67 meter per minute.Let us consider that distance between the top of the ladder and the ground is x meterand distance between the bottom of the ladder and the wall is y meter.So, A right angle triangle is formed.Since, the bottom of the ladder is 21 meters from the wall.So, Applying Pythagoras theorem, Given that, the distance between the top of the ladder and the ground is decreasing at 7 meters per minute. Differentiate below equation with respect to time. Thus, the rate of change of the distance between the bottom of the ladder and the wall at that instant is 6.67 meter per minute
Step-by-step explanation:
How do you find the slope of 4x 5y 0?
The slope of the line is [tex]m = \frac{4}{5}[/tex]
What is meant by slope ?A line's direction and steepness are both expressed by the slope or gradient of the line, which is a numerical value. Slope is determined mathematically by the ratio of rise to run. It is referred to as the slope-intercept form of the equation if the equation of a line is expressed as y = mx + b. The slope of the line is measured by m. Additionally, the y-intercept is at a position where b is the b. (0, b). The slope and y-intercept of the equation y = 3x - 7 are, for instance, 3 and 0.
slope using standard form:
[tex]m = \frac{4}{5}[/tex]
slope m of a line of the form Ax + By = C, equals -[tex]\frac{A}{B}[/tex]
A = 4 , B = -5
[tex]m = - \frac{4}{-5}[/tex]
Therefore;
[tex]m = \frac{4}{5}[/tex]
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what is 20% of 18
(include explanation please)
Answer: 3.6
Step-by-step explanation:
20/100= 1/5
1/5*18=18/5 or 3.6
Answer:
Twenty percent of 18 is 3.6. To find 20% of a number, simply multiply the number by 0.20. For example, 20% of 18 can be calculated by multiplying 18 by 0.20, which gives us 3.6.
Step-by-step explanation:
How do I solve this, or set it up
How can you verify congruence?
If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent.
There are 5 main rules of congruency for triangles:
SSS Criterion: Side-Side-SideSAS Criterion: Side-Angle-SideASA Criterion: Angle-Side- AngleAAS Criterion: Angle-Angle-SideRHS Criterion: Right angle- Hypotenuse-SideThree Ways To Prove Triangles Congruent:
SSS (Side-Side-Side) Postulate: If there exists a correspondence between the vertices of two triangles such that three sides of one triangle are congruent to the corresponding sides of the other triangle, the two triangles are congruent.
SAS (Side-Angle-Side) Postulate: If there exists a correspondence between the vertices of two triangles such that the two sides and the included angle of one triangle are congruent to the corresponding parts of the other triangle, the two triangles are congruent.
ASA (Angle-Angle-Side)Postulate: If there exits a correspondence between the vertices of two triangles such that two angles and the included side of one triangle are congruent to the corresponding parts of the other triangle, the two triangles are congruent.
By using these rules, If two angles and one side of a triangle are respectively equal to two angles and the matching side of another triangle, then the two triangles are congruent.
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Using the histogram, determine the median and the range (spread) of the quiz scores.
The median is 12 range 16
Information can not be determined by histogram
Median 18 range 10
Median 15 range is 14
Information can not be determined by histogram.
What is histogram?
A histogram is an approximation of the distribution of numerical data. This term was first introduced by Karl Pearson. The first step in creating a histogram is to "bin" (or "bucket") the range of values. That is, divide the entire range of values into a series of intervals and count the number of values. At each interval fall. Bins are usually specified as consecutive, non-overlapping intervals of a variable. The bins (intervals) must be contiguous and often (but not necessarily) the same size.
If the bins are the same size, bars are drawn across the bins, with heights proportional to frequencies (number of cases in each bin). Histograms can also be normalized to display "relative" counts, which indicate the proportion of cases falling into each of multiple categories with sum of heights equal to 1.
Information can not be determined by histogram.
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About what percent of 212 is 400?
Answer:
Step-by-step explanation:
If you're wondering about what percent of 212 is 400, the answer is 189.3%. This means that 400 is 89.3% higher than 212. It’s easy to see that, when compared side by side, 400 is a much bigger number, almost twice as great as 212. Put another way, if you divide 400 by 212, you get 1.89—that’s your answer! Clearly, 400 is a great deal larger than 212 and this difference in size can be expressed as a percentage increase of 189.3%.
Approximately 19.05% of 212 is 400.
Answer:
Step-by-step explanation:
Solution for 212 is what percent of 400:
212:400*100 =
(212*100):400 =
21200:400 = 53
Now we have: 212 is what percent of 400 = 53
Question: 212 is what percent of 400?
Percentage solution with steps:
Step 1: We make the assumption that 400 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=400$.
Step 4: In the same vein, $x\%=212$.
Step 5: This gives us a pair of simple equations:
$100\%=400(1)$.
$x\%=212(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{400}{212}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{212}{400}$
$\Rightarrow x=53\%$
Therefore, $212$ is $53\%$ of $400$.
the answer is 53 or 188.68%
Is a function continuous at a hole?
continuous function can be represented by a graph without holes. A function whose graph has holes is a discontinuous function
What is the hole of a function ?Hole is a point on the graph where the value of the function is not defined. If the numerator and denominator of a rational function have a common factor they will cancel when simplifying.
Therefore to find the hole of a function is to consider numerator and denominator. If there is the same factor in the numerator and denominator there is a hole.
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Graph using table of values, f (x) = 2x^2 + 4x - 5
Answer:
See explanation
Step-by-step explanation:
Is arithmetic mean 10 and standard deviation is 20 then coefficient of standard deviation?
The coefficient of variation is 200%.
The coefficient of variation is the ratio of the standard deviation to the mean. One form of measure of dispersion is the coefficient of variation. A number called a measure of dispersion is used to assess the degree of data variability. As a result, the coefficient of variation is used to assess how much data deviate from the mean or average value. The acronym CV stands for coefficient of variation.
Given that,
Arithmetic mean = 10
Standard deviation = 20
Therefore of coefficient of variation is SD/AM*100 = 20/10*100 = 200%
Hence, the coefficient of variation is 200%.
Correct question: If the arithmetic mean is 10 and the standard deviation is 20 then what is the coefficient of variation?
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What is the factor form of 3x² 10x 3?
The factor form of 3x² 10x 3 is 3x(x+3)(x-3). This is because 3x² 10x 3 can be factored into three linear terms: 3x(x+3)(x-3).
What is factor?Factor is a quantity or an expression that is multiplied to another quantity or expression to obtain a product. Factors are used in mathematics to solve problems involving multiplication, division, and equations. Factors can also be used in financial analysis to calculate interest payments, loan repayments, and other financial transactions. Factors can also be used to analyze supply and demand, market trends, and other economic indicators.
This is achieved by using the 'FOIL' method, which stands for First, Outer, Inner, Last. The first two terms, 3x and x+3, are multiplied together to give 3x². The outer two terms, 3x and x-3, are multiplied together to give 3x-9. The inner two terms, x+3 and x-3, are multiplied together to give x²-3. The last two terms, 3x² and x²-3, are added together to give 3x² + x²-3 = 3x² + 10x - 3.
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Can a function have no holes?
Yes, a function can have no holes when it has no common factor at both numerator and denominator.
What is a function?In Mathematics, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables.
This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable (domain) to an output variable (range).
What is a hole?In Mathematics, a hole can be defined as a point on the graph wherein the input value of a given function is undefined or not defined. This ultimately implies that, a hole is a point on the graph of a rational function where the input value causes both its numerator and denominator to be equal to zero (0).
In conclusion, we can reasonably infer and logically deduce that it is very possible for a function to have no holes.
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Question 7 *
2 points
Consider five-digit integers that have the following properties. Each of the digits is
1, 2 or 3, and each of 1, 2, 3 occurs at least once as a digit; also, the number is not
divisible by 2 nor divisible by 3.
What is the difference between the largest and the smallest of these integers?
O
Answer:
22098
Step-by-step explanation:
You want the difference between the largest and smallest 5-digit numbers whose digits are from the set {1, 2, 3} and include each of these at least once. The numbers cannot be divisible by 2 or 3.
DigitsThe number will be divisible by 3 when its sum of digits is a multiple of 3. Since 1, 2, and 3 are prescribed digits, the remaining two digits must not have a total of 3 or 6. The largest possible remaining digits are {2, 3}, and the smallest remaining digits are {1, 1}. (Using {3, 3} for the largest digits would give a number divisible by 3.)
The number will be divisible by 2 if the least significant digit is 2. The largest and smallest digits are not 2, so that will not be an issue.
LargestThe largest number will place the largest available digit in the place with the highest place value: 33221.
SmallestThe smallest number will place the smallest available digit in the place with the highest place value: 11123.
DifferenceThe desired difference is the difference of these numbers:
33221 -11123 = 22098 . . . . difference of largest and smallest
The difference between the two numbers will be 1998.
What is a number system?A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set in a consistent manner using digits or other symbols. In different numeral systems, the same sequence of symbols can represent different numbers.
Given that Consider five-digit integers that have the following properties. Each of the digits is 1, 2 or 3, and each of 1, 2, 3 occurs at least once as a digit; also, the number is not divisible by 2 nor divisible by 3.
The largest number will be 3211.
The smallest number will be 1213.
The difference between the largest and the smallest number will be calculated as,
D = 3211 - 1213
D = 1998
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Can someone please help me please
Answer:
3 (for the box), p=1
Step-by-step explanation:
Since they want you to follow the instructions, divide by 2 to get (5p-2p) alone.
6p/2 = 3p (exactly like 6/2)
You will get 3p=5-2p
To solve the rest of the equation, add 2p to both sides (once you add 2p to the left side, it gets rid of it on the right side by canceling it out)
3p=5-2p
+2p +2p
5p=5
Divide 5p by 5 to get p by itself.
5p/5 = 5/5
That is p = 1
Ex 2: A car can get 10 miles on 1 ½ gallons of gas. How many gallons of gas are needed
if you need to go 150 miles?
Answer: 22.5 gallons of gas
Step-by-step explanation:
1 1/2 = 3/2 or 1.5
Take 1.5 divided by 10 = 0.15 gallon per mile
Then take 0.15 times 150 miles = 22.5 gallons of gas
For a ride on a rental scooter, Bob Paid 3$ fee to start the scooter plus 11 cents per minute of the ride. the total bill for Bob's ride was 13.67. for how many minutes did Bob ride the scooter?
After solving the equation, the time in minutes Bob rides the scooter will be equal to 97 minutes.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given information in the question,
Total price paid to start the scooter = $3
Price of ride per minute = 11 cents
1 dollar = 100 cents
So, 11 cents = 11/100 = $0.11 per minute
Then, the equation will be,
$3 + $0.11(x) = $13.67
Here, x is the total number of minutes.
0.11x = 13.67 - 3
0.11x = 10.67
x = 97 minutes.
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A committee consisting of 2 faculty members and 4 students is to be formed. Every committee position has the same duties and voting rights. There are 8 faculty members and 13 students eligible to serve on the committee. In how many ways can the committee be formed?
Answer:
Thus there are 3150 ways to select the 2 faculty members and 4 students for the committee.
Step-by-step explanation:
How do you find the missing leg length of the hypotenuse?
Answer:
Hello,
Step-by-step explanation:
Just find the longest measure.
what is the solution of 10(w+3)=70
Answer: w = 4
Step-by-step explanation:
To solve the equation 10(w+3) = 70, we will work to get w by itself:
1. Divide by 10. This will get us closer to w.
(10( w + 3))/10 = 70/10
w + 3 = 7
2. We now have the equation w + 3 = 7. All we need to do now to get w by itself (or isolate it) is to subtract 3.
(w + 3) - 3 = 7 - 3
w = 7 - 3
w = 4
3. We can check our solution by inputting our found value, w = 4, into the equation.
10( 4 + 3 ) = 70
10(7) = 70
70=70
Because both sides of the equation are true, our solution of w = 4 is correct.
Answer: w = 4
Step-by-step explanation:
10(w+3)=70
10w + 30 = 70
10w = 40
w = 4
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[tex]{\huge{G = \frac{P-2M}{2} }}[/tex]
Find the product.
(6t - 3ax)(t+ ax)
Enter the corr
Answer:
Step-by-step explanation:
(6t - 3ax)(t+ ax)
use FOIL
6[tex]t^{2}[/tex] +6tax - 3tax -3[tex](ax)^{2}[/tex]
6[tex]t^{2}[/tex] + 3tax - 3[tex](ax)^{2}[/tex]
What are the solutions to this quadratic equation 2x2 − 7x − 4 0?
The solutions of the given quadratic equation are -1/2 and 4
What is a quadratic equation?The meaning of quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.
Given is a quadratic equation, 2x²-7x-4 = 0
Factoring,
2x²-8x+x-4 = 0
2x(x-4)+1(x-4) = 0
(2x+1)(x-4) = 0
x = -1/2
x = 4
Hence, The solutions of the given quadratic equation are -1/2 and 4
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a population grows exponentially, doubling in 4 hours. how long, to the nearest tenth of an hour, will it take the population to triple?
Answer: 6.3 hours
Step-by-step explanation:
I have attached an image of how I solved it!
What is a set in math Grade 7?
In math set refers the collection of unique objects that is no two objects can be the same.
In a set, the objects that belong in a set are called members or elements. And the elements of set can be anything that is numbers, animals, sport teams.
In order to represent the Sets either we have to List out the elements that are separated by commas and enclosed by curly brackets
For example,
W = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}
Otherwise, we have to specify in words that objects in the set must have certain characteristics/properties by describing elements using words proves useful when we are describing sets of large sizes.
For example,
N = {Even numbers between 1 and 25}
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