Answers
Using it's concept, the integer numbers in the data-set are given as follows:
6/1, -14, 56/7.
The other numbers, -74.48 and 3/17, are not integers.
What are integer numbers?Integer numbers are numbers that have no decimal part. They can be represented by pure numbers, either negative or positive, or also fractions that result in an exact division.
In this problem, we have that:
The division of 6 by 1 has a exact result of 6, hence 6/1 is an integer.The division of 56 by 7 has a exact result of 8, hence 56/7 is an integer.-14 is a pure number with no decimal part, hence it is an integer.-74.48 has a decimal part, hence it is not an integer.3/17 is not an exact division, hence it is not an integer.More can be learned about integer numbers at https://brainly.com/question/17405059
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Related Questions
What is the behavior of the graph y=−x6−6x5+50x3+45x2−108x−108 at each of its zeros
Answers
The behavior of the graph with the equation y=x66x5+50x3+45x2108x108 at each of its zeros will be as follows: two of them will resemble a quadratic function, while one of them will resemble a linear function.
This is further explained below.
What is a graph?Generally, a diagram that illustrates the relationship between variable quantities, usually consisting of two variables, with each variable being measured along one of a pair of axes that are intersected at right angles.
In conclusion, At each of its zeroes, the graph y=x66x5+50x3+45x2108x108 will exhibit one linear behavior and two behaviors that resemble quadratic functions.
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If 55 people enrolled in a psychology course but only 25 completed it, what percent of the students completed the course? (Round to the nearest tenth of a percent.)
Answers
Answer:
45%
Step-by-step explanation:
Simply, 25/55 which gives you 0.454545.
Convert that to a percentage and you get 45%
A rhombus is a four-sided figure with all sides the same length. Points F(-2,-2), G(-2, 3), and H(2, 6) are three vertices of rhombus FGHJ. Vertex J is directly below vertex H. What is the perimeter of the rhombus? Show your work.
Answers
Answer:
20
Step-by-step explanation:
The sides of the 4-sided figure are the same length, so we can find the perimeter (sum of side lengths) by multiplying one side length by 4.
Side lengthPoints F(-2, -2) and G(-2, 3) lie on the same vertical line: x = -2. The distance between them is the difference of their y-coordinates:
FG = (3 -(-2)) = 5
Each side is 5 units long.
PerimeterThe length of the four sides is ...
P = 4s = 4(5) = 20
The perimeter of the rhombus is 20 units.
What is the difference? \frac{x+5}{x+2}-\frac{x+1}{x^{2}+2x}
Answers
Answer:
Step-by-step explanation:
x² + 2x = x(x + 2)
[tex]\sf \dfrac{x +5}{x + 2}-\dfrac{x+1}{x^2+2x}=\dfrac{x + 5}{x +2}-\dfrac{x+1}{x(x+2)}[/tex]
LCM = x(x+2)
[tex]\sf =\dfrac{(x+5)*x}{(x+2)*x}-\dfrac{x+1}{x(x+2)}\\\\=\dfrac{x*x + 5*x}{x^2+2x}-\dfrac{x+1}{x^2+2x}\\\\=\dfrac{x^2+5x - (x+1)}{x^2+2}\\\\=\dfrac{x^2+5x -x - 1}{x^2+2x)}\\\\=\dfrac{x^2+4x-1}{x^2+2x}[/tex]
f(x) = x². What is g(x)?
5
g(x)
A. g(x)=x²-4
OB. g(x)=x2-4
C. g(x)=-4x2²
OD. g(x)=x²+4
+
f(x)=x²
Answers
The function f(x) = x² then the required function exists g(x) = -x²- 4.
What is a function?The function exists described as y = f(x).
In mathematics, a function from a set X to a set Y allocates to each element of X exactly one element of Y. The set X exists named the domain of the function and the set Y exists named the codomain of the function. Functions stood originally for the idealization of how a variable quantity relies on another quantity.
For every x there exists a certain value of y.
From the graph g(x) exists reflection of f(x) at y = -4.
So g(x) = -f(x) - 4, the negative sign for reflection.
g(x) = -x² - 4
The required function exists g(x) = -x² - 4.
Therefore, the correct answer is option D. g(x) = -x² - 4.
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The complete question is:
F(x) = x². What is g(x)?
A. g(x) = x² - 4
B. g(x) = x² + 4
C. g(x) = -4x²
D. g(x) = -x² - 4
HELP PLS
Name the intersection of plane K and plane L.
Answers
Answer:
line MN
Step-by-step explanation:
If two planes intersect, then the intersection is a line.
Answer: line MN
train travelling at a uniform speed covers a distance of 255 km in Find the speed of the train and 3 4/5 1 1/2 the distance covered in hours. hours.
Answers
The speed of the train is 150 km/hour.
The distance covered by the train in 3 4/5 hours is 570 km.
The speed of a body is calculated using the formula, speed = distance/time.
The distance covered is calculated using the formula, distance = speed*time.
The time taken by a body is calculated using the formula, time = distance/speed.
In the question, we are asked for the speed of a train, when it covers a distance of 225 km in 1 1/2 hours.
Distance = 225 km.
Time = 1 1/2 hours = 1.5 hours.
Speed = Distance/Time = 225/1.5 km/hour = 150 km/hour.
Now, we are asked to calculate the distance covered by the train in 3 4/5 hours.
Speed = 150 km/hour.
Time = 3 4/5 hours = 3.8 hours.
Distance = Speed*Time = 150*3.8 km = 570 km.
Thus, the speed of the train is 150 km/hour.
The distance covered by the train in 3 4/5 hours is 570 km.
The provided question is incorrect. The correct question is:
"A train at a uniform speed covers a distance of 225 km in 1 1/2 hours. Find the speed of the train and the distance covered in 3 4/5 hours.
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Write the ratio 6 sodas out of 16 drinks.
Answers
Answer:
3:8 3 sodas for 8 drinks
Step-by-step explanation:
6/16
3/8
A bacteria culture starts with 260 bacteria and grows at a rate proportional to its size. After 3 hours there will be 780 bacteria.
(a) Express the population after t hours as a function of t.
population: ? (function of t)
(b) What will be the population after 3 hours?
(c) How long will it take for the population to reach 1870 ?
Answers
The solutions to the exponential growth problem are:
A. [tex]P(t) = 260e^0.3662t[/tex]
B.[tex]P(3) = 260e^0.3662(3) = 779[/tex]
C.3.367 hours
What is the formular for the exponential growth problem?The exponential growth problem obeys the equation:
P(t) = P0ekt
P0=population
time t
We can find the value of k At t=3 hours as,
780 = 260e^k(3)
k = (1/3) ln(780/260) hours-1 ≅ 0.3662 hours-1
A. [tex]P(t) = 260e^0.3662t[/tex]
B. [tex]P(3) = 260e^0.3662(3) = 779[/tex]
C. 1870 = 260e^0.3662t
To Solve for t, w2e make t the subject of the formula
t = ln(1870/260) / 0.3662 hours = 3.367 hours
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The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, sold by the company:
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)
Part B: What is an approximate average rate of change of the graph from x = 1 to x = 4, and what does this rate represent? (3 points)
Part C: Describe the constraints of the domain. (3 points)
Answers
Based on the given graph relating to the company's profit f(x), the x-intercepts are (0, 0) and (0, 8) and the maximum value is 270.
What does the graph show?The x-intercepts are the points where the graph crosses the x axis. It does so at first at (0,0) and then after going up and coming down, it again intersects at (0, 8).
The maximum value the graph reaches is 270 on the y-axis.
The function is increasing at the interval, (0, 4) and decreasing from (4, 8).
What this shows is that an increase in price between 0 and 4 would lead to an increase in profit but between 4 and 8 results in profits dropping.
In part B, the average rate of change from x=1 to x =4 is:
= (270 - 120) / (4 - 1)
= 50
In part c, the constraints are:
x ≥ 0
f(x) x ≤ 8
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Please answer this question
Answers
Answer:
1 and 4
Step-by-step explanation:
x-1 = 0
x = 1
x^2 - 5x + 4
(x-4)(x-1) = 0
x can't be 1 or 4
Answer: 1 and 4
Step-by-step explanation:
1. To find excluded values, we need to make the denominator equal to zero.
x² - 5x + 4 = 0
2. Then we need to find the x the product of them was 4, but they add up to -5, which are -4 and -1. We get:
(x - 4)(x - 1) = 0
x - 4 = 0 x - 1 = 0
x = 4 x = 1
These two numbers will make the denominator equal to 0, the denominator cannot be equal to 0, so they are excluded numbers.
After finishing the prep work, Gilberta and María start removing wallpaper at the same time. Gilberta removes the paper at a constant rate of
4.3
m
2
4.3m
2
4, point, 3, start text, m, end text, squared per hour, while María removes
3.4
m
2
3.4m
2
3, point, 4, start text, m, end text, squared of paper per hour. Gilberta's room starts with
35
m
2
35m
2
35, start text, m, end text, squared of paper, and María's room starts with
30.5
m
2
30.5m
2
30, point, 5, start text, m, end text, squared of paper.
Let
t
tt represent the time, in hours, since Gilberta and María start removing the wallpaper.
Complete the inequality to represent the times when Gilberta has more wallpaper left in her room than María has in hers.
t
tt
select inequality symbol
hours
Show Calculator
Answers
Using linear functions, the inequality that represents when Gilberta has more wallpaper left in her room than María has in hers is: t < 5.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, we consider:
The initial amount as the y-intercept.The rate as the slope.Hence the amounts Gilberta and Maria have left after t hours are given by:
G(t) = 35 - 4.3t.M(t) = 30.5 - 3.4t.Gilberta has more papers when:
G(t) > M(t).
Hence:
35 - 4.3t > 30.5 - 3.4t
-0.9t < -4.5
Multiplying by -1:
0.9t < 4.5
t < 4.5/0.9
t < 5.
Hence the inequality is:
t < 5.
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Answer:
t < 5
Step-by-step explanation:
Other dude is right but here's the version without explanation
Someone please help me with this question
Answers
Answer: Neither
Step-by-step explanation:
It is not an angle of the quadrilateral, so it is not an interior angle.
It does not form a linear pair with any interior angle of the quadrilateral, so it is not an exterior angle.
A block exerts a force of 84 Newtons on a table.
The pressure on the table is 30 N/m².
Work out the area of the box that is in contact with the table.
Total for question 5 is 2 marks)
pressure =
force
area
Answers
Answer:
2.8m²
Step-by-step explanation:
p = F / A
A = F / p
A = 84 / 30
A = 2.8m²
Study the spinner below. If wedges 2 and 5 are each twice the area of one of
the other wedges, what is the likelihood of landing on 2 or 3?
Answers
Using the probability concept, the likelihood of landing on 2 or 3 is given by:
[tex]p = \frac{3}{8}[/tex]
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Researching this problem on the internet, considering the areas of 2 and 5 counting twice, the spinner has 8 areas, out of which 3 are 2 or 3, hence the probability is given as follows:
[tex]p = \frac{3}{8}[/tex]
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Question 3 Now change the central angle, ∠CAB, and see how it affects the inscribed angle, ∠CDB. To do this, move point B around the circle without crossing points D and C, and do the same for point C without crossing points B and D. Record five data sets for m∠BAC and m∠BDC in the table.
ANSWER FAST!
Answers
By changing the central angle, ∠CAB, the inscribed angle, ∠CDB has the following data sets:
m∠BAC (β) m∠BDC (α)
42° 84°
40° 80°
45° 90°
35° 70°
52° 104°
What is a circle?A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).
In Geometry, a circle is considered to be a conic section which is formed by a plane intersecting a double-napped cone that is perpendicular to a fixed point (central axis) because it forms an angle of 90° with the central axis.
What is the inscribed angle theorem?The inscribed angle theorem states that the measure of an inscribed angle is one-half the measure of the intercepted arc in a circle. Thus, this is given by this mathematical expression:
m∠BDC = ½ × m∠BAC.
For this exercise, we would change the central angle, ∠CAB, so that the inscribed angle, ∠CDB can have the following data sets:
m∠BAC (β) m∠BDC (α)
42° 84°
40° 80°
45° 90°
35° 70°
52° 104°
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Answer:
plato
Step-by-step explanation:
m∠BAC m∠BDC
50° 25°
70° 35°
90° 45°
125° 62.5°
150° 75°
To heat up an undetermined volume of water from 20 degrees to 50 degrees takes 5 minutes. What is the heating factor of the element used to heat up water?
Answers
Answer:
Step-by-step explanation:
deleted
Heat Factors are determined by the location-specific average daily high and low temperatures during the warmest month of the year.
What is heat?According to thermodynamics, heat is a type of energy that crosses a thermodynamic system's border due to a temperature differential across the barrier. In a thermodynamic system, heat is not present.
But the phrase is also frequently used when referring to the thermal energy that makes up a system's internal energy and is reflected in the system's temperature. Heat is a type of energy in both senses of the word. Heat Factors are determined by the location-specific average daily high and low temperatures during the warmest month of the year.
Therefore, heat Factors are determined by the location-specific average daily high and low temperatures during the warmest month of the year.
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An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so
the equation to solve is 2a + b = 15.7.
ayer/
If we recall that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side,
which lengths make sense for possible values of b? Select two options.
Answers
The value of the base b in the isosceles triangle is 3.1 inches.
According to the statement
we have given that the
equation is 2a + b = 15.7 and if one longer sides is 6.3 centimeter.
And we have to find the length of the base. Then
2a + b = 15.7
Here a is 6.3 cm then
Substitute the values in it then
2a + b = 15.7
2(6.3) + b = 15.7
After solving the equation
12.6 + b = 15.7
b = 15.7 - 12.6
Now we get the value of base b which is 3.1.
So, b = 3.1
So, The value of the base b in the isosceles triangle is 3.1 inches.
Disclaimer: This question was incomplete. Please find the full content below.
Question:
This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 can be used to find the side lengths.
If one of the longer sides is 6.3 centimeters, what is the length of the base?
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Find the value of x.
Answers
The value of x from the given circle is 4
What is intersecting chord theorem?The intersecting chords theorem is a statement in geometry that describes a relation of the four line segments created by two intersecting chords within a circle.
It states that the products of the lengths of the line segments on each chord are equal.
According to the theorem;
x * 3 = 2 * (4 + 2)
3x = 2(6)
3x = 12
Divide both sides by 3
3x/3 = 12/3
x =4
Hence the value of x from the given circle is 4
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A movie theater has a seating capacity of 331. The theater charges $5.00 for children, $7.00 for students, and $12.00 for adults. There are half as many adults as there are children. If the total ticket sales was $ 2404, How many children, students, and adults attended?
Answers
Answer:
87 adults
174 children
70 students
Step-by-step explanation:
A company has two large computers. The slower computer can send all the company's email in 60 minutes. The faster computer can complete the same job in 15 minutes. If both computers are working together, how long will it take them to do the job?
Do not do any rounding
Minutes =
Answers
Answer:
15.25 given using both
Step-by-step explanation:
Slow com= 60 all mail
Fast clm= 15 all mail
Given both bejng used
60 min ÷ 15 min = intervall of 4 unbroken min
and
15min÷60min= 0.25
0.25mjn×60sec= 15sec
Sret =15min anfd 15 seconds/ 15.25min
Can someone help me with a step by step process of how to solve this? Calculus 2
Answers
If you fix a point on the curve in the given interval, and revolve that point about the [tex]x[/tex]-axis, it will trace out a circle with radius given by the function value [tex]y[/tex] for that point [tex]x[/tex]. The perimeter of this circle is then [tex]2\pi(8\sqrt x) = 16\pi \sqrt x[/tex].
The surface in question is essentially what you get by joining infinitely many of these circles at every point in the interval [0, 9].
So, the surface area is given by the definite integral
[tex]\displaystyle \int_0^9 16\pi \sqrt x \, dx = 16\pi\times\frac23 x^{3/2}\bigg|_{x=0}^{x=9} = \frac{32\pi}3 \left(9^{3/2} - 0^{3/2}\right) = \boxed{288\pi}[/tex]
Kayla created the graph below to represent the solution to the inequality Negative 8 less-than x.
A number line going from negative 11 to negative 1. A closed circle is at negative 8. Everything to the left of the circle is shaded.
What errors did she make? Select two options.
She should have used an open circle at the end of the ray.
She should have pointed the arrow to the right.
She should have used a circle at –7 as the end of the ray.
She should have used a circle at –9 as the end of the ray.
Answers
Kayla made two errors which are as follows :-
She should have used an open circle at the end of the rayShe should have pointed the arrow to the right.How to Graph a Linear Inequality
First, graph the "equals" line, then shade in the correct area.
There are three steps:
Rearrange the equation so "y" is on the left and everything else on the right. Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)Shade above the line for a "greater than" (y> or y≥)
or below the line for a "less than" (y< or y≤).
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Consider the following figure:
The value of a is
Answers
Answer:
125
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.
We can write the following equation according to this information and that will help us find the value of x:
65 + 60 = x add like terms
125 = x is the answer we are looking for.
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{equation:}[/tex]
[tex]\large\textsf{a = 60 + 65}[/tex]
[tex]\huge\textsf{solving:}[/tex]
[tex]\large\textsf{a = 60 + 65}[/tex]
[tex]\large\textsf{60 + 65 = a}[/tex]
[tex]\huge\textsf{simplify it:}[/tex]
[tex]\large\textsf{a = 125}[/tex]
[tex]\huge\textsf{therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{a =} \frak{125}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The Department of Motor Vehicles reports that the proportion of all vehicles registered in
California that are imports is 0.22.
ords
1. Is the number 0.22?
a population proportion.
a.
b. a sample proportion.
2. Which of the following use of notation is correct?
a. p=0.22
b. p=0.22
Answers
The number 0.22 represents the population proportion and the correct way to represent it is p = 0.22.
What are statistics?Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.
It is given that:
It is given that:
The Department of Motor Vehicles reports that the proportion of all vehicles registered in California that are imported is 0.22.
The number 0.22 represent the population proportion.
The population proportion can be represented by the letter p:
p = 0.22
Thus, the number 0.22 represents the population proportion, and the correct way to represent it is p = 0.22.
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Find a potential function for the vector field
Answers
The answers to the question are given as x²y + 24x +16y and 87
How to solve for the potential function of the vector field
(2xy + 24, x² + 16)
We have to check in order to be sure that the vector that we have here is a gradient field
we have fx = 2xy + 24 and fy = x² + 16
Such that we would have x²y + 24x +g(y)
for f(y) g' = 16 = 16 + c
Given that there is no lose of generality, we are going to have the following where
x²y + 24x +16y
b. We have to solve this oart by making use of the fundamental theory of integrals
f2,4 = 4*4 + 24*2 + 16*4
= 16 + 48 + 64
= 128
f1,1 = 1*1 + 24*1 + 16*1
= 1 + 24 + 16
= 41
128 - 41 = 87
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Time to use my tools
96 100 132
6 ... 4 ....6
5....7......3
21...32...?
1)32
2)20
3)25
4)30
find the missing one
Answers
Answer:
the correct answer is 25
* Let S = Span {(2,-1, 1), (3, 1, 1), (1, 2, 0)}. (i) Calculate the dimension of S.
1
2
3
9
Answers
The span of 3 vectors can have dimension at most 3, so 9 is certainly not correct.
Check whether the 3 vectors are linearly independent. If they are not, then there is some choice of scalars [tex]c_1,c_2,c_3[/tex] (not all zero) such that
[tex]c_1 (2,-1,1) + c_2 (3,1,1) + c_3 (1,2,0) = (0,0,0)[/tex]
which leads to the system of linear equations,
[tex]\begin{cases} 2c_1 + 3c_2 + c_3 = 0 \\ -c_1 + c_2 + 2c_3 = 0 \\ c_1 + c_2 = 0 \end{cases}[/tex]
From the third equation, we have [tex]c_1=-c_2[/tex], and substituting this into the second equation gives
[tex]-c_1 + c_2 + 2c_3 = 2c_2 + 2c_3 = 0 \implies c_2 + c_3 = 0 \implies c_2 = -c_3[/tex]
and in turn, [tex]c_1=c_3[/tex]. Substituting these into the first equation gives
[tex]2c_1 + 3c_2 + c_3 = 2c_3 - 3c_3 + c_3 = 0 \implies 0=0[/tex]
which tells us that any value of [tex]c_3[/tex] will work. If [tex]c_3 = t[/tex], then [tex]c_1=t[/tex] and [tex]c_2 = -t[/tex]. Therefore the 3 vectors are not linearly independent, so their span cannot have dimension 3.
Repeating the calculations above while taking only 2 of the given vectors at a time, we see that they are pairwise linearly independent, so the span of each pair has dimension 2. This means the span of all 3 vectors taken at once must be 2.
A closed box with a square base is to have a volume of 16000 cubic centimeters. The material
for the top and bottom of the box costs $3 per square centimeter while the material for the sides
costs $1.50 per square centimeter. Find the dimensions of the box that will minimize the total
cost of materials. What is the minimum total cost?
Answers
The most suitable measurements for a box with a square base are 5cm (width) x 5cm (length) x 640cm (height). This box would be worth $4875
How to calculate the minimum value of the box?To find the minimum value of a box that must have a square base and 16000 cm³, we must try different measurements to find the variable that represents the least value.
In this case, the variable that represents less value is a base of 5cm x 5cm and a height of 640cm. This means that the box would be worth $4875 as shown below.
Base
5cm × 5cm = 25cm²25cm² x 3 = $75Sides
5cm × 640cm = 3200cm²3200cm² × $1.50 = $4800$4,800 + $75 = $4,875Additionally, we can check that the volume of the box is the required 16000cm³, as shown below:
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H2 Worksheet #8
Complete the table for the following rule
y = 2x + 2.
X
1
3
9
10
y
A1
Answers
Answer:
It's easy to solve the problem.
let's start...
given equation:- y = 2x+2
X y
1 (2× 1 )+ 2 = 4 .
3 (3×2)+2 = 8 .
9 (9×2) + 2 = 20 .
10. (10× 2)+2 = 22 .( table completed)
just put the value of X in the expression.
