Answers
The term that is not possible in the domain of a sequence is:
-5.
What is the domain of a function?The domain of a function is the set that contains all possible input values for the function. For a sequence, the domain is the set that contains all the indexes of the terms, starting at 0 and going until the nth term.
For example, suppose we have the following sequence: 3, 5, 7, ...
The term with index 0 is 3.The term with index 1 is 5.The term with index 2 is 7.From what was explained above, which also can be visualized with the example, an index term of a sequence cannot be negative, hence the term that is not possible in the domain of a sequence is:
-5.
Which is the only negative number of the options.
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Related Questions
Which of the following ordered pairs lies on the graph of h(x) = -2x squared?
(1, 4)
(1, -4)
(1, -2)
Answers
By direct evaluation we conclude that the point (x, y) = (1, - 2) lies on the graph of the quadratic equation h(x) = - 2 · x². (Correct choice: C)
What ordered pair lies on the curve generated by a given function?
In this problem we have three ordered pairs to be checked on a given function by direct evaluation, a ordered pair lines on the curve of function if and only if the x-value of the ordered pair leads to the y-value by evaluating in the function. Now we proceed to evaluate each of the three points at the function presented in the statement:
(x, y) = (1, 4)
h(1) = - 2 · 1²
h(1) = - 2
By direct evaluation we conclude that the point (x, y) = (1, - 2) lies on the graph of the quadratic equation h(x) = - 2 · x². (Correct choice: C)
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When we make inferences about the difference of two independent population proportions, what assumptions do we need to make? mark all that apply.
Answers
When we make inferences about the difference of two independent population proportions, we assume that it is a random sample, and the number of successes and failures are at least 15 in each group.
Two independent proportions tests involve comparing the proportions of two unrelated datasets.
For these two datasets to be regarded as an independent population, the following must be true or assumed to be true
The datasets must represent a random sampleEach dataset must contain at least 15 successes and failuresHence, the above highlights are the assumptions of two independent population proportions.
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A force of 3 pounds is required to hold a spring stretched 0.6 feet beyond its natural length. how much work (in foot-pounds) is done in stretching the spring from its natural length to 0.7 feet beyond its natural length? answer exactly or round to 2 decimal places.
Answers
The work done (in foot-pounds) in stretching the spring from its natural length to 0.7 feet beyond its natural length is 1.23 foot-pound
Data obtained from the questionFrom the question given above, the following data were obtained:
Force (F) = 3 poundsExtension (e) = 0.6 feetWork done (Wd) =?How to determine the spring constantForce (F) = 3 poundsExtension (e) = 0.6 feetSpring constant (K) =?F = Ke
Divide both sides by e
K = F/ e
K = 3 / 0.6
K = 5 pound/foot
Thus, the spring constant of the spring is 5 pound/foot
How to determine the work doneSpring constant (K) = 5 pound/footExtention (e) = 0.7 feetWork done (Wd) =?Wd = ½Ke²
Wd = ½ × 5 × 0.7²
Wd = 2.5 × 0.49
Wd = 1.23 foot-pound
Therefore, the work done in stretching the spring 0.7 feet is 1.23 foot-pound
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The sum of fice consecutive positive intergers is 2020. Find the largets of these numbers.
Answers
Answer:
3, 7, 14
Step-by-step explanation:
Please do it fast as possible
Answers
The factors of the given expression is (4m/n + 5m/n)(5m/n-6n/m).
The given expression is 20m²/n²- 30n²/m² +1.
We need to factorise the given expression.
How to factorise the trinomial?To factor, a trinomial in the form x²+ bx + c, find two integers, r and s, whose product is c and whose sum is b.
Rewrite the trinomial as x²+ rx + sx + c and then use grouping and the distributive property to factor the polynomial. The resulting factors will be (x + r) and (x + s).
Now, we can rewrite 20m²/n² +1 - 30n²/m² as 20m²/n² +25mn/mn- 24mn/mn- 30n²/m².
=(20m²/n² +25mn/mn)- (24mn/mn- 30n²/m²)
=5m/n(4m/n + 5m/n)-6n/m(4m/n+5n/m)
=(4m/n + 5m/n)(5m/n-6n/m)
Therefore, the factors of the given expression is (4m/n + 5m/n)(5m/n-6n/m).
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Which expression is equal to
CSC X
- cOs x cot x
using identities?
Answers
Step-by-step explanation:
Because the two sides have been shown to be equivalent, the equation is an identity.
When graphing the inequality y ≤ 2x − 4, the boundary line needs to be graphed first. Which graph correctly shows the boundary line? A. A linear inequalities graph of dotted boundary line intersects X-axis at the unit (2, 0) and Y-axis at the unit (0, minus 4) B. A linear graph of solid line intercepts X-axis at the unit (2, 0) and Y-axis at the unit (0, minus 4) C. A linear inequalities graph of dotted boundary line intercepts at the X-axis (0.5, 0) and Y-axis (0, 2) D. A linear graph of a solid boundary line intersects X-axis at the unit (0.5, 0) and Y-axis at the unit (0, 2)
Answers
The correct graph is in the attached image.
Answer:
B. A linear graph of solid line intercepts X-axis at the point (2, 0) and Y-axis at the point (0, -4)
Step-by-step explanation:
The boundary line of an inequality is graphed as though the expression were an equality. The nature of the line used will depend on the nature of the inequality.
Form of the lineWhen the inequality includes the "or equal to" case (≤ or ≥), the boundary line is part of the solution set. It is drawn as a solid line.
When the inequality excludes the "or equal to" case (< or >), the boundary line is not part of the solution set. It is drawn as a dotted or dashed line.
The given inequality
y ≤ 2x -4
includes the "or equal to" case, so the boundary line is solid.
Y-interceptThe equation of the boundary line is written in slope-intercept form:
y = mx +b . . . . . . . line with slope m and y-intercept b
y = 2x -4 . . . . . . . boundary line with slope 2 and y-intercept -4.
This tells you that the boundary line intercepts the y-axis at the point (0, -4).
A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as x + 2x + 6 < 50, where x represents the smaller number.
Answers
The smaller number that we can take is x = 14, and in that case, the value of the other number is y = 34
How to write the inequality?First, we have two numbers, x and y, such that:
y = 6 + 2*x
"the first number is 6 more than 2 times another number".
Now we know that the sum of these two numbers is smaller than 50, then we can write:
x + y < 50
Replacing y by the above equation we get:
x + 6 + 2x < 50
3x + 6 < 50
Now we can solve that inequality for x:
3x < 50 - 6 = 44
x < 44/3 = 14.6
And x can only be a whole number, then:
x ≤ 14
The smaller number that we can take is x = 14, and in that case, the value of the other number is:
y = 6 + 2*14 = 34
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How to solve this problem
x + 7 = -8
Answers
x + 7 = -8
(x + 7) - (7) = -8 - (7)
x = -8 - 7 = -15
The correct answer is -15
❄ Hi there,
let us first consider this: What should we do to get x all alone, on one side of the equation?
Since
7 is added to xwe should
subtract 7 from x (and from the other side too!)[tex]\ \sf{x=-8-7}[/tex]
[tex]\triangleright \ \sf{x=-15}[/tex]
That's it!
❄
Lamonte has 50 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 288 square meters. List each set of possible dimensions (length and width) of the field.
answer 1: meters
answer 2: meters
HELP PLS
Answers
The dimensions of the rectangular plot of land that sits on a riverbank is 32 m by 9 m or 18 m by 16 m.
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
Let x represent the length and y represent the width. Hence:
x + 2y = 50
x = 50 - 2y
Also:
xy = 288
(50 - 2y)y = 288
y = 9; and y = 16
x = 32; and x = 18
The dimensions of the rectangular plot of land that sits on a riverbank is 32 m by 9 m or 18 m by 16 m.
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Mrs. kelley asked her students to plot the number of books they read over the summer. a dot blot titled books read over the summer goes from 0 to 7. 0 has 1 dot, 1 has 3 dots, 2 has 6 dots, 3 has 2 dots, 4 has 3 dots, 5 has 1 dot, 6 has 2 dots, and 7 has 0 dots. using the dot plot, what was the total number of students that plotted the number of books they read? 3 6 17 18
Answers
The total number of students that plotted the number of books they read was 18, making the 4th option, a correct choice, using the dot plot.
Any data that may be shown as dots or tiny circles is called a dot plot. Given that the height of the bar created by the dots indicates the numerical value of each variable, it is comparable to a bar graph or a simple histogram. Small amounts of data are shown using dot plots.
In the question, we are informed that Mrs. Kelley asked her students to plot the number of books they read over the summer. a dot plot titled books read over the summer goes from 0 to 7. 0 has 1 dot, 1 has 3 dots, 2 has 6 dots, 3 has 2 dots, 4 has 3 dots, 5 has 1 dot, 6 has 2 dots, and 7 has 0 dots.
We are asked to find the total number of students that plotted the number of books they read using the dot plot.
The dot plot is attached to the solution.
The total number of students = The total number of dots = 1 + 3 + 6 + 2 + 3 + 1 + 2 + 0 = 18.
Thus, the total number of students that plotted the number of books they read was 18, making the 4th option, a correct choice, using the dot plot.
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on a unit circle, the terminal point of theta is (0, - 1) what is tan theta?
A. 1
B. Undefined
C. -1
D. 0
Answers
The answer is B.
If the terminal point of θ is at (0, -1), then tanθ is equal to :
Δy/Δx-1/0UndefinedThe tangent of the given angle is undefined, so the correct option is B.
What is a tangent function?The tangent function is one of the main six trigonometric functions and is generally written as tan x. It is the ratio of the opposite side and the adjacent side of the angle in consideration in a right-angled triangle.
Given that on a unit circle, the terminal point of θ is (0, - 1) we need to determine tan θ,
We know that the terminal point of θ is (0, -1).
Now, the tangent of an angle is equal to the quotient between the y-component and the x-component of the terminal point, then we have:
tan(θ) = =1/0
And we can't divide by zero, so it is undefined, then the correct option is B.
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please help I'm so tired and I need to turn this in tomorrow
Answers
Considering the given box plots, it is found that:
a) They had the same IQR.
b) Athlete A went on the shortest training ride.
c) Athlete B went on more rides longer than 35 miles.
d) Athlete B had a greater median distance.
What is a box plot?It is a plot that focuses the interquartile range of the population, which is the difference between the third and the first quartile, but gives a five number summary of the population, composed by these following measures.
The smallest value.The first quartile.The median.The third quartile.The highest value.Hence, for Athlete A, we have that:
The smallest value is 12.The first quartile is 27.The median is of 29.The third quartile is 34.The highest value is of 45.IQR: 34 - 27 = 7.For Athlete B, we have that:
The smallest value is 18.The first quartile is 32.The median is of 37.The third quartile is 39.The highest value is of 41.IQR: 39 - 32 = 7.Hence:
a) They had the same IQR.
b) Athlete A went on the shortest training ride.
c) Athlete B went on more rides longer than 35 miles(as it is less than his median).
d) Athlete B had a greater median distance.
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Two 6-sided dice, one red and one green, are rolled. What is the probability that the red die shows a 2 and the green die shows a 5
Answers
The probability that the red die shows a 2 and the green die shows a 5 is 1/36
How to determine the probability that the red die shows a 2 and the green die shows a 5?The sample space of a die is
S = {1, 2, 3, 4, 5, 6}
This means that
Red die = {1, 2, 3, 4, 5, 6}
Green die = {1, 2, 3, 4, 5, 6}
On the dice, we have
P(Red = 2) = 1/6
P(Green = 5) = 1/6
The probability that the red die shows a 2 and the green die shows a 5 is
P = P(Red = 2) * P(Green = 5)
Substitute the known values in the above equation
P = 1/6 *1/6
Evaluate the product
P = 1/36
Hence, the probability that the red die shows a 2 and the green die shows a 5 is 1/36
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The question is down below.
Answers
The correct expressions are sinC = 12/25.5 = 24/51, <A = 62 degrees and tan A = 1.875
SOH CAH TOA identityThe given figure is a right triangle with legs 12.0 and 22.5cm and the hypotenuse 25.5cm
For sinA, <A is the reference angle, hence the opposite side will be 22.5cm
sin A = opp/hyp
sinA = 22.5/25.5
For cos C, the adjacent side will be 22.5cm, hence the measure of cos C is 22.5/25.5
cosC = 22.5/25.5
Similarly, sinC = 12/25.5 = 24/51
<A = 180-(90 +38)
<A =180 - 128
<A = 62 degrees
tan A = opp/adj
tan A = 22.5/12 = 1.875
tan C = 12/22.5
tan C = 0.533
Hence the correct expressions are sinC = 12/25.5 = 24/51, <A = 62 degrees and tan A = 1.875
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If f(x)=x²-3x - 4 and g(x) = x² + x, what is (f + g)(x)?
Answers
Answer: (f+g)(x)=2(x-2)(x+1).
Step-by-step explanation:
[tex]f(x)=x^2-3x-4\ \ \ \ \ g(x)=x^2+x\\(f+g)(x)=(x^2-3x-4)+(x^2+x)\\(f+g)(x)=x^2-3x-4+x^2+x\\(f+g)(x)=2x^2-2x-4\\(f+g)(x)=2*(x^2-x-2)\\(f+g)(x)=2*(x^2-2x+x-2)\\(f+g)(x)=2*(x*(x-2)+(x-2))\\(f+g)(x)=2*(x-2)*(x+1).[/tex]
PLEASE I REALLY NEED HELP ON THIS QUESTION QUICKLY
Answers
Answer:
4/7
Step-by-step explanation:
[tex]\frac{6}{7} times \frac{2}{3}[/tex] 6x2=12
7x3=21
[tex]\frac{12}{21} = \frac{4}{7}[/tex]
find the size of each of the angles marked with letter
Answers
Answer:
angle l = 115
angle k = 115
angle j = 114
angle i = 66
Step-by-step explanation:
angle l = it is opposite to 115 so its the same
angle k = opposite opposing angles with angle l
angle j = 180-66=114 (between 2 parallel lines the sum of 2 angles is 180)
andle i = 180-114=66 (straight line = 180 degrees so subtract angle j to get i)
Help ill mark brainliest and yea answeeer
Answers
2r + t + r
3r + t
The correct answer is C - None of the Above.
When we combine like terms, we combine terms that have the same variables but different coefficients. We cannot add 2r and t because r and t are not the same variables.
Hope this helps!
Answer:
None of the above
Step-by-step explanation:
Because the answer is 3r + t
Find the midpoint of the line segment joining points A and B.
A(6-7); B(4,3)
Answers
Answer: [tex]\Large\boxed{Midpoint=(5,~-2 )}[/tex]
Step-by-step explanation:
Given information
[tex](x_1,~y_1)=(6,~-7)[/tex]
[tex](x_2,~y_2)=(4,~3)[/tex]
Given the midpoint formula
[tex]Midpoint=(\dfrac{x_1+x_2}{2} ,~\dfrac{y_1+y_2}{2} )[/tex]
Substitute values into the given formula
[tex]Midpoint=(\dfrac{(6)+(4)}{2} ,~\dfrac{(-7)+(3)}{2} )[/tex]
Simplify values on the numerator
[tex]Midpoint=(\dfrac{10}{2} ,~\dfrac{-4}{2} )[/tex]
Simplify the fractions
[tex]\Large\boxed{Midpoint=(5,~-2 )}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
True or false: f(x) is a function
Answers
Answer Section 1. <3
Heyy, I'm sunny and I'm here to help you :)
(P.S: answer in explanation)
----------------------------------------------------------------------------------------------------------
Explanation Section:
It is false
If f(x) is a function , then for each value of x there should be a single y values
For input 0 there is a output 0
for input 10, the output is 2
for input 15, output is 3
For input 5, we have two output 1 and 3
for single input 5, the function cannot have two outputs 1 and 3
So this f(x) is not a function
Bye! - SunnyBunny <3
What is NOT another name for Q?
A. line LQ←→
B. line RG←→
C. line LG←→
D. line RL←→
Answers
The line that is not another name for Q is RL
How to determine the line that is not another name for Q?For a line to represent the point Q, the following must be true:
The line must start from any pointAnd the line must go through point QUsing the above highlights,
The line LQ starts from L and extends through QThe line RG starts from R and extends through QThe line LG starts from L and extends through QThe line RL starts from R and does not extend through QHence, the line that is not another name for Q is RL
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You are given an expression for the volume of the rectangular prism. determine an expression for the missing dimension. v=4x^3 5x^2-32x-33 and the dimensions are (x 1)and (x 3)
Answers
4x^3 + 5x^2 - 32x - 33 / x + 1
4x^2 + x - 33
4x^2 + x - 33 / x + 3
4x - 11
HELP FAST PLEASE!!! Find the sample space of the situation using a table or tree diagram on
paper, and then type your sample space below.
tossing a coin (Heads or Tails) AND spinning the spinner (1-5)
Answers
Answer:
Sample space:
{(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5)}
Step-by-step explanation:
Tossing a coin has two possible outcomes, heads (H) and tails (T).
Spinning the spinner has 5 possible outcomes, 1, 2, 3, 4, 5.
Table:
First spin H H H H H T T T T T
Second spin 1 2 3 4 5 1 2 3 4 5
Sample space:
{(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5)}
(ASAP PLEASE) Peter had some triangular tiles with sides 3 cm long. He placed them side by side to make a trapezium. If the perimeter of the trapezium was 27 cm, how many tiles did Peter use?
Answers
Answer:
She used 9 tiles which are 3 cm long
Step-by-step explanation:
cuz 3x9=27 and yea
Can someone point out in which step I made a mistake in and what the mistake was? (I know the answer is 1,980, but I somehow managed to get 360 using these steps which seem logical, and I don't know where I went wrong).
Answers
The value of the product expression 6 * 330 is 1980
How to evaluate the product?The product expression is given as:
6 * 330
Express 330 as the product of 33 and 10
6 * 330 = 6 * 33 * 10
Express 33 as the product of 3 and 11
6 * 330 = 6 * 3 * 11 * 10
Evaluate the product of 6 and 3
6 * 330 = 18 * 11 * 10
Evaluate the product of 11 and 10
6 * 330 = 18 * 110
Evaluate the product of 18 and 110
6 * 330 = 1980
Hence, the value of the product expression 6 * 330 is 1980
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PLEASE HELP IM STUCK PLS
Answers
Answer:
The slope is -3.
Step-by-step explanation:
The slope is the Rise/Run between the two points. The change in y for every change in x. Take the two points and calculate the:
RISE = (-6 - 3) = -9
RUN = (8 - 5) = 3
Rise/Run, or slope, is = -9/3 or -3
I graphed a line with slope of -3 and then added 18 to force the line to intersect the two given points.
how many rectangles of different sizes can be formed from 36 identical rectangles
Answers
The number of rectangles of different sizes can be formed from 36 identical rectangles is 5
Number of rectangles
From the question, we have proofs of;
Total number of identical squares = 36
Now, let the measurement of the side of each square be 1 unit
We have that the formula for area of a square is;
Area of a square = Side × Side square units
We have the area of the square to be;
Area of each square = 1×1 = 1 square units
This is so because the rectangles are identical both in length and width
Let's find the area of the identical squares
Area of total 36 identical squares
= 36×1 square units
= 36 square units
So Area of the rectangle = length × breadth square units
if the rectangles are formed from 36 identical squares then their areas are the same
Total area of required rectangles = 36 square units
It can be written as;
36 = length × breadth
36 = 1×36 36 = 2×1836 = 3×1236 = 4×936 = 6×6(1,36) , (2,18),(3,12),(4,9),(6,6) are the different rectangles formed from 36 identical squares
Total rectangles = 5
Thus, the number of rectangles of different sizes can be formed from 36 identical rectangles is 5
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Write an equation for the
function graphed above
Answers
Answer:
g(x) = (x + 1)² + 1
Step-by-step explanation:
the original function
f(x) = x²
for the new function g(x)
it is shifted 1 unit to the left and 1 unit up.
the shift to the left is done by adding these units to the input variable x :
g(x) = f(x+1) = (x+1)²
that way we get the function value for x+1 already at x :
1 unit "earlier" than in the original.
and the shift up is easy.
whatever the function calculates, we simply add 1 to everything.
the whole curve stays as it is, just one unit higher. g
so, the final g(x) = f(x+1) + 1 = (x + 1)² + 1
Find the sum of 10 x 2 + 7 x + 6 10x 2 +7x+6 and 6 x + 5 6x+5.
Answers
The sum of the given expression expressed as a quadratic equation is 10x^2 + 13x + 11
Sum of expressionsExpressions are equations separated by mathematical signs. This expressions are known to contains certain unknowns
Given the following expression
10x^2 +7x+6 and 6x + 5
We are to take the sum of both expression to have:
f(x) = 10x^2 +7x+6 + 6x + 5
Collect the like terms
f(x) = 10x^2 + 7x + 6x + 6 + 5
f(x) = 10x^2 + 13x + 11
Hence the sum of the given expression expressed as a quadratic equation is 10x^2 + 13x + 11
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