The categorization of each variable according to the group of numbers that best captures its values is shown below:
Any integer from 0 to n.
Any number from 0 to h.
What is a variable?Any mathematical object can be represented by a variable in mathematics as a symbol and placeholder. A variable can, for example, represent a number, a vector, a matrix, a function, the argument of a function, a set, or a set's component.Numerous issues are resolved in a single computation by using variables in algebraic calculations as if they were explicit integers.For instance, by exchanging the variables that represent them in the quadratic formula with the numerical values of the coefficients in any given quadratic equation, the quadratic formula may solve any quadratic equation.In mathematical logic, a variable is either a sign for an undefined word of the theory (a "meta-variable") or a fundamental item of the theory that is changed without considering any potential intuitive meaning.To know more about variable, refer to the following link:
https://brainly.com/question/2264120
#SPJ4
Look at the pattern shown.
144,72,36,. . .
a. What is a rule for the pattern?
Answer:
I hope it's helpful.........
An airplane on a long-distance flight flew the first 1295 miles of it's journey on 3 hours and 33 minutes. After that, the wind changed, and it took the plane 1 hour and 47 minutes to cover the remaining 738 miles. What was the plane's average speed during the flight?
Round to the nearest tenth
The plane's average speed during the flight is 381.43 miles per hour.
What is the average speed?The average speed is the quotient of the total distance covered during the flight divided by the total time used.
The Average Speed is the scalar quantity that shows the rate of change in displacement from one point to another.
Data and Calculations:The distance for the first miles = 1,295 miles
The time it took the plane to cover the distance = 3 hours 33 minutes
The distance for the last lap = 738 miles
The time it took the plane to cover the last distance = 1 hour 47 minutes
The total distance covered for the journey = 2,033 miles (1,295 + 738)
The total time for the journey = 5 hours 20 minutes or 5.33 hours
Average Speed = 2,033/5.33
= 381.43 miles per hour
Thus, the plane's average speed during the flight is 381.43 miles per hour.
Learn more about the average speed at https://brainly.com/question/4931057
#SPJ1
Find the next two terms in each sequence. Write a formula for the n th term. Identify each formula as explicit or recursive. 49,64,81,100,121, ......
Answer:
The next two terms is 144 and 169
A fluid dram is a unit of capacity. One fluid ounce is equivalent to eight fluid drams.
Which table represents the relationship between number of fluid ounces and number of fluid drams?
O A
B.
O C.
D.
Number of Fluid Ounces 12345
Number of Fluid Drams 88888
Number of Fluid Ounces 1 2 3 4 5
Number of Fluid Drams 8 9 10 11 12
Number of Fluid Ounces 1 2 3 4 5
Number of Fluid Drams 8 16 24 32 40
5
Number of Fluid Ounces 1 2 3 4
Number of Fluid Drams 8 16 32 64 128
Answer:
The flud dram (or flud drahm in British speling) is defined as 1⁄8 of a flud ones is is british words cop to nuber of a flud, and is ecactly ewelual to 3696691 ml in the U.S. cutomary 3.551632 ml in the British can of fluding can keep it from fluding over are heads and keep it safe from fluding but 3696691 is the number that you haft to use it order to keep it up you haft to put it in the same order
Number of Fluid Drams 88888
Number of Fluid Ounces 1 2 3 4 5
Number of Fluid Drams 8 9 10 11 12 A fluid dram is a unit of capacity. One fluid ounce is equivalent to eight fluid drams. Which table represents the relationship between number of fluid ounces a...
0.00
0 votes
0
In the apothecary system, the symbol fl ℥ represents a/an A. pound. B. grain. C. fluid ounce. D. dram
Find the seventh term of each geometric sequence. 100,20,4, . . . . . . .
The seventh term of the given geometric sequence is: [tex]\frac{4}{625}[/tex].
What is a geometric progression?A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio.Given: 100, 20, 4, ....
Here, a₁ = 100, r = [tex]\frac{100}{20}=\frac{20}{4}=\frac{1}{5}[/tex], for the given geometric progression.
In the formula: [tex]a_n=a_1(r^{n-1})[/tex]
For n = 7, a₇ = 100 ([tex](\frac{1}{5})^{7-1}[/tex]
=> a₇ = 100 [tex](\frac{1}{5})^6[/tex]
=> a₇ = 4([tex]\frac{1}{625}[/tex])
Hence, The seventh term of the given geometric sequence is: [tex]\frac{4}{625}[/tex].
To learn more about geometric progression, refer to the link: https://brainly.com/question/15978376
#SPJ4
Write a recursive definition for each sequence. -2,7,16,25, . . . . .
The recursive formula for the arithmetic sequence [tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + d
A recursive formula is a sequence in which terms are defined using one or more previous terms which are given. If we know the nth term of an arithmetic sequence and you know a common difference, d, we can find the (n+1)th term using the recursive formula.
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + d
The sequence -2, 7, 16, 25,.... is in arithmetic sequence and its common difference is 7 - (-2) = (16-7)= 9 .
To know more about the recursive formula refer to the link given below:
https://brainly.com/question/1275192
#SPJ4
Find the distance between the points (–
1,–
1) and (7,8).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
Step-by-step explanation:
In order to get answer of this question, we should use the distance formula. So, what is that formula? let us see the formula and simplify to get the answer :)
[tex]{ \red{ \tt{given}}}[/tex]
[tex]{ \orange{ \tt{(1, - 1)}}} = { \green{ \tt{(x1,y1)}}}[/tex]
[tex]{ \orange{ \tt{(7,8)}}} = { \green{ \tt{(x2,y2)}}}[/tex]
[tex]{ \blue{ \tt{d}}} = { \green{ \tt{ \sqrt{ {(x1 - x2)}^{2} + ( {y1 - y2)}^{2}}}}}[/tex]
[tex]{ \blue{ \tt{d}}} = { \green{ \tt \sqrt{ {(1 - 7)}^{2} + { (- 1 - 8)}^{2}}}}[/tex]
[tex]{ \blue{ \tt{d}}} = { \green{ \tt{ \sqrt{ {(6)}^{2} + {( - 9)}^{2}}}}} [/tex]
[tex]{ \blue{ \tt{d}}} = { \green{ \tt{ \sqrt{36 + 81}}}}[/tex]
[tex]{ \blue{ \tt{d}}} = { \green{ \tt{ \sqrt{117}}}} [/tex]units.
Look at the picture and help me figure how many planes are in the figure.
Answer: C
Step-by-step explanation:
6 planes
Answer: C, 6)
Step-by-step explanation: Area of square = a2 Square units, where a is the side length of square.
Area of rectangle = l × b Square units, where l is the length, b is the breadth.
Area of circle = π × r2 Square units, where r is the radius of a circle.
Which equation in slope intercept form, matches equation shown
A• y=4/7x-4
B• y= -4/7x+1
C• y= -5/6x-4
B• y= 5/6x+1
Answer:
c
Step-by-step explanation:
If you look at the two points on the graph you can see that the point that crosses the y axis is at -4
If you use the two points and count the slope you see that it is down 5 over 6 which gives it a slope of -5/6
10-ounce package of cashews costs $8.11, and a 16-ounce package of cashews costs $12.
a. What is the cost per ounce for the 10-ounce packages of cashews?
b. What is the cost per ounce for the 16-ounce packages of cashews?
c. Which package is the better buy?
Answer:0-ounce package of cashews costs $8.11 is better then a 16-ounce package of cashews costs $12 , because cost per ounce for the 10-ounce package of cashews = $ is greater then cost per ounce for the 16-ounce package of cashews = $
Step-by-step explanation:
Simplify by combining like terms. 6 r+3 s+2 s+4 r
By combining the like terms, the simplified form of the expression 6r+3s+2s+4r is 10r+5s
Given,
The expression = 6r+3s+2s+4r
Rearrange the terms
6r+4r+3s+2s
Combine the like terms
6r+4r+3s+2s=(6+4)r+(3+2)s
=10r+5s
Hence, By combining the like terms, the simplified form of the expression 6r+3s+2s+4r is 10r+5s.
Learn more about algebraic expression here
brainly.com/question/19245500
#SPJ4
Make a conjecture about the measure of an exterior angle and the sum of the measures of its nonadjacent interior angles.
Here we can conjecture that :
The measure of an exterior angle is equal to the sum of measures of its nonadjacent interior angles.
What is interior and exterior angle ?The exterior angle of any polygon is defined as the angle which is at the outside boundaries of that polygon. whereas, the interior angle is defined as the angle which is inside the polygon. In the other words if the polygon has the point within the angle it is in the interior of the angle , but if the point is outside then is it said to be in the exterior of the angle.
What is Non adjacent interior angle ?Non adjacent angles are those angles which are not adjacent to each other. The non adjacent angles follow one of the properties which are listed below:
They do not share a common vertex or common side.They can share a side, but not share the common vertex.They share a common vertex, but not share the common side.In the given question,
taking a example say a triangle ABC with ∠A=64, ∠B = 45 and an external angle x to the side AC.
as sum of angles equal to 180
thus, ∠A + ∠B + ∠C = 180
64 + 45 + ∠C = 180
∠C = 180-109 = 71
now as x is external to ∠C,
therefore x = 180 - ∠C = 180 - 71
x = 109 = ∠A + ∠B
Hence we can make the conjecture that, the measure of an exterior angle is equal to the sum of measures of its nonadjacent interior angles.
To know more about interior and exterior angles, visit:
https://brainly.com/question/2406986
#SPJ4
Cesar and Wendy buy a pizza for $10 that is half pepperoni and half veggie. They cut the pizza into 8 slices. If Cesar likes veggie twice as much as pepperoni, what is the value of a slice that is all veggie?
Using different mathematical operations, the price of a slice that is all vegie is calculated to be $1.25.
What are arithmetic operations?
Arithmetic operations are a field of mathematics that studies numbers and the operations on numbers that are helpful in all other disciplines of mathematics.
Given, Cost of the pizza = $10
and number of slices = 8 (half pepperoni and half veggie)
So, number of slices containing veggies = 8/2 = 4
and cost of 4 slices containing all veggie= 10/2 = $5
Therefore, value of a slice containing all veggie = 5/4 = $1.25
To learn more about mathematical operations, click on the link
https://brainly.com/question/17260500
#SPJ1
find the vertical asymptotes if any. f(x)= 1/x^2
Answer:
x = 0
Step-by-step explanation:
Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function
For f(x) set the denominator = 0 and solve for x
For [tex]\frac{1}{x^2}[/tex]
set x² = 0
x = √0 = 0 which is the vertical asymptote
Answer:
x = 0
Step-by-step explanation:
The Vertical asymptotes are vertical lines which correspond to zeroes of denominators.
For f(x) set the denominator = 0 and solve for x
For \fract {1}{x^2}
you set x² = 0
x = √0 = 0 which is the vertical asymptote
Two angles form a linear pair. The measure of one angle is 3.5 times the measure of the other angle. Find the measure of each angle.
Given that the two angles form a linear pair, the measure of each angle is 40° and 140°.
What is the measure of each angle?The sum of angles of a linear pair is always equal to 180°.
Given the data the data in the question;
Let x represent the measure of the first angle.
Measure of angle 1 = xMeasure of angle 2 = 3.5xSince the sum of angles of a linear pair is always equal to 180°.
m∠1 + m∠2 = 180
x + 3.5x = 180
Solve for x
4.5 = 180
x = 180/4.5
x = 40
Hence,
Measure of angle 1 = x = 40°
Measure of angle 2 = 3.5x = 3.5(40) = 140°
Given that the two angles form a linear pair, the measure of each angle is 40° and 140°.
Learn more about linear pair angles here: https://brainly.com/question/1757859
#SPJ1
Make an equation equal to an odd number
rules:
1. numbers must be the same Example: 5x5
2. only 1 mathematical symbol can be used example: 5+5, 5-5, 5x5, & 5/5
Step-by-step explanation:
35×35 may be ?? ..........
Solve each equation. Check each solution. 2/x = x/2
2 and -2 both are the solution of the equation x/2 = 2/x.
According to the given question.
We have an equation 2/x = x/2.
As we know that, as we know that, an equation is a condition on a variable such that two expressions in the variable should have equal value.
Therefore, the solution of the equation 2/x = x/2 is given by
2/x = x/2
⇒ 2 = (x/2)x (multiplying both the sides by x)
⇒ 2 = x^2/2
⇒ 2(2) = x^2 (multiplying by 2 both the sides by 2)
⇒ 4 = x^2
⇒ x^2 = 4
⇒ x = √4
⇒ x = ±2
⇒ x = 2 or -2
Now we will check 2 is the solution of the given equation or not.
Therefore,
LHS = 2/2 = 1
RHS = 2/2 = 1
Here, LHS = RHS. Therefore, 2 is the solution of the given equation.
Similarly, for -2
LHS = 2/-2 = -1
RHS = -2/2 = -1
Here. RHS = LHS. Therefore, -2 is also the solution of the given equation.
Hence, 2 and -2 both are the solution of the equation x/2 = 2/x.
Find out more inofrmation about equation here:
https://brainly.com/question/10413253
#SPJ4
A camper lost in the woods points his compass in a random direction. Find the probability that the camper is heading in the N to NE direction.
The probability that the camper is heading in the N to NE direction when a camper lost in the woods points his compass in a random direction is 1/8.
As given,
Compass is divided into 8 sectors N→NE→E→SE→S→SW→W→NW→N
Whole compass represents the circle with area 360 degrees
Area of each sector is equal to 45 degrees
Probability that the camper is heading in the N to NE direction
=45/360
=1/8
Therefore, the probability that the camper is heading in the N to NE direction when a camper lost in the woods points his compass in a random direction is 1/8.
Learn more about probability here
brainly.com/question/11234923
#SPJ4
Determine the slope of the line that contains the given points.
E(6,3), F(-6,3)
The slope of the line that contains the given points E(6,3) and, F(-6,3) is 0.
It is given in the question that the line contains the points E(6,3) and F(-6,3).
We know that:-
The formula to find the slope of a line that contains points (a,b) and (c,d) is given by:-
m = (d-b)/(c-a)
Here, we have
m = slope of the line
(a,b) = (6,3)
(c,d) = (-6,3)
Hence, putting the values of (a,b) and (c,d) , we get
Slope of the line that contains the given points E(6,3) and, F(-6,3) is given by:-
(3-3)/(-6-6) = 0/-12= 0
To learn more about slope of the line, here:-
brainly.com/question/14511992
#SPJ4
Suppose the flight leaves 30 minutes early. What function represents this transformation?
The function that represents the Transformation of the graph is F(X+1/2).
Different non-vertical lines have different slopes and/or y-intercepts. They are graphs of various linear functions. If there are two such lines, one can be considered a transformation of the other. There is a group of functions called the family, each function being a transformation of a special function called a parent. Linear functions form a series of functions. All linear functions are transformations of the function y = x. The function y = x is an upper linear function. Each family role is a transformation of a parent's role. The conversion type is translation. A translation moves the graph of the parent function horizontally, vertically, or both without changing shape or orientation. So, the function that represents this transformation is F(X+1/2).
More problems related to the graph transformation are given in the link below.
https://brainly.com/question/10059147?referrer=searchResults
#SPJ4
Simplify the expression (62)4.
A car is traveling at a speed of 100 kilometers/hour. How many hours will it take to cover a distance of 750 kilometers?
Answer:
7.5 hours
Step-by-step explanation:
Answer:
7.5 hours
Step-by-step explanation:
A car is traveling at 100 km/hr. How many hours will it take to cover a distance of 750 km? 750km ÷ 100km/hr = 7.5 hrs.
(Give brainlist?)
What is the probability of spinning B on the first spinner and a number less than 6 on the second spinner?
Answer:
Not possible without knowing what the spinners are
Write an equation of each line in point-slope form.
(0,0) and (-4,-5)
The equation of the line in point-slope form, which passes through the pair of points located at (0 , 0) and (-4 , -5), is y + 5 = 5/4(x + 4).
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).
Getting the slope of the two points: (0 , 0) and (-4 , -5)
m = (y2 - y1)/(x2 - x1)
m = (-5 - 0)/(-4 - 0)
m = -5/-4
m = 5/4
Using the point slope form, plug in the values of the slope and Point A to set up the equation.
(y - y1) = m(x - x1)
where m = 5/4 and (x1 , y1) = (-4 , -5)
(y - -5) = 5/4(x - -4)
y + 5 = 5/4(x + 4)
To learn more about equation of line in point slope form: brainly.com/question/24907633
#SPJ4
Write 2.702x10^-7 as an ordinary number
Answer:
0.0000002702
Step-by-step explanation:
2.702 * 10^-7
which algebraic expression is a difference with two terms
A.5y - 7
B-2y + 5 + 3
C.3y + 1
D.5(y - 6)
The expression that is a difference between two terms is:
5y - 7
which algebraic expression is a difference withtwo terms?
An algebraic expression should have at least one variable, and here we know that we should find a difference (remember that a difference is a subtraction).
And it must have two terms, then the expression is something like:
A - B
Such that A or B depend on the variable.
With this in mind, we can see that the correct option (the only subtraction with two terms) is the first one:
5y - 7
If you want to learn more about algebraic expressions:
https://brainly.com/question/4344214
#SPJ1
Mr. Olsen uses an unusual grading system in his class. After each test, he transforms the scores to have a mean of 0 and a standard deviation of 1. Mr. Olsen then assigns a grade to each student based on the transformed score. On his most recent test, the class’s scores had a mean of 68 and a standard deviation of 15. What transformations sho
In order to get standard deviation of 15. Subtract 68 from everybody's score, then divide these values by 15.
What is Standard deviation?The square root of the variance is used to determine the standard deviation. An alternative method of calculating it is to identify the mean of a data set, compare each data point to the mean, square the differences, add them all together, divide by the number of points in the data set minus 1, and then compute the square root.
To learn more about standard deviation from given link
https://brainly.com/question/475676
#SPJ1
Complete question -Mr. Olsen uses an unusual grading system in his class. After each test, he transforms the scores to have a mean of 0 and a standard deviation of 1. Mr. Olsen then assigns a grade to each student based on the transformed score. On his most recent test, the class's scores had a mean of 68 and a standard deviation of 15. What transformations should he apply to each test score? Explain.
Two vertices of $\triangle ABC$ are $A\left(3,\ 0\right)$ and $B\left(7,\ 3\right)$ . Find the coordinates of $C$ on the positive $x$ -axis such that the value of the perimeter of the triangle is twice the value of the area of the triangle.
The coordinate of C=(4,0).
What is Area of triangle?The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
Given:
ΔABC with
A(3, 0), B(7, 3)
let the coordinate of c(x, y)
Also, Perimeter of triangle = 2 * Area of triangle
Area of triangle=1/2 * b * h
Area=1/2 * 4 * 3
Area=1/2 * 12
Area=6 units
Perimeter= AB + BC + CA
Now,
Now, using distance formula
AB = √(7-3)² + (3-0)²
AB = √16+9
AB= 5 units
Perimeter of triangle=5+4+3
Perimeter =12
So, the coordinate of C=(0+4,0)
C=(4, 3-3)
C=(4,0)
Learn more about Area of triangle here:
https://brainly.com/question/19305981
#SPJ1
1. Solve the equation:
6(x + 1) = 3x - 14
Answer: x=-20/3
Step-by-step explanation:
6(x + 1) = 3x - 14
6x+6 = 3x - 14
6x-3x+6 = 3x-3x - 14
3x+6 = -14
3x+6-6=-6-14
3x=-20
x=-20/3
Which describes the pilot’s distance in section i? zero constant decreasing increasing
The pilot's distance is increasing.
In the graph, we can see distance on y axis and time on x axis. It is clearly visible that at 2 minutes, the distance covered is 0.4 miles. Further, at 4 minutes, the distance covered increases to 0.8 miles. At 6 minutes, the distance covered again increases by 0.4 miles and is 1.2 miles. At 8 minutes, the distance covered in 1.6 miles, which again increases by 0.4.
Now, it is evident that distance is increasing.
We can further calculate the speed using given information -
Speed = distance/time
Total distance = 1.6 - 0.0
Total distance = 1.6 miles
Total time = 8 - 0
Total time = 8 minutes
Speed = 1.6/8
Speed = 0.2 miles per minute.
Hence, the distance of pilot is increasing at constant rate or speed of 0.2 miles per minute.
Learn more about distance-time graph -
https://brainly.com/question/13877898
#SPJ4
The complete question and figure is attached -
The graph below represents the distance a pilot is from the home airport during a period of time. A 2-column table with 5 rows titled Time and Distance Ran by Myra. The first column is labeled Time (minutes) with entries 0, 2, 4, 6, 8. The second column is labeled Distance (miles) with entries 0.0, 0.4, 0.8, 1.2, 1.6. Which describes the pilot’s distance in section I? zero constant decreasing increasing
