we get that the nth term of the arithmetic sequence is given by aₙ = 28 - 2 n.
We are given an arithmetic sequence:
26, 24 , 22 ....
We need to find the nth term of this sequence (aₙ)
We will first find the common difference between the terms:
Common difference = d = 24 - 26 = - 2
also, we know that initial term = a = 26.
We know the formula for aₙ is given by:
aₙ = a + ( n - 1 ) d
Substituting the values, we get that:
aₙ = 26 + ( n - 1 ) ( - 2 )
aₙ = 26 - 2 n + 2
aₙ = 28 - 2 n
Therefore, we get that the nth term of the arithmetic sequence is given by aₙ = 28 - 2 n.
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What is a first step to solve the equation 0.3n - 15 = 0.2n - 5?
Answer:
100
Step-by-step explanation:
0.3n - 15 = 0.2n - 5
0.3n - 0.2n = - 5 + 15
0.1n = 10
10/0.1 = n
n = 100
[tex]\frac{4}{5} x^{4}[/tex]
Translate (3x-1,y+5)
Answer: Three times x minus y is five times the sum of y and two times x.
Step-by-step explanation:
the given equation is: (3x-1,y+5)
The left hand side of the equation may be written as: "Three times x minus y."
The right hand side of the equation may be written as: "Five times the sum of y and two times x."
Hence, the correct option is:
What is the variable of 3x - 5y?
simplify 2cos3xsin3x
step by step pls
After simplifying the trigonometric expression 2 cos (3 x) sin (3 x), we get the value as sin (6 x).
We are given the expression as:
2 cos (3 x) sin (3 x)
Now, we know the trigonometric identity as:
2 sin θ cos θ = 2 sin (2 θ)
Using this identity in the expression where θ = 3 x, we get that:
2 cos (3 x) sin (3 x) = sin ( 2 × 3 x) ( value of θ substituted in the expression)
2 cos (3 x) sin (3 x) = sin (6 x)
Therefore, after simplifying the trigonometric expression 2 cos (3 x) sin (3 x), we get the value as sin (6 x).
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use the graph and the translation (x,y) = (x+3, y+1)
Answer:
Step-by-step explanation:
Enclose the error in solving the polynomial multiplication. Then correct it.
Correction:
Answer:
Hello,
Step-by-step explanation:
[tex](t^3+4)(t^3-4)\\\\= (t^3)^2-(4)^2\\\\=t^6-16[/tex]
f (3/10)= -5 (3/10) -14
Answer: -15.5 or -31/2
Step-by-step explanation:
it may look weird but if that's what the equations says then your gonna do it.
-5(3/10) -> (5/1)(3/10) = 15/10 = -3/2 or -1.5
-1.5 - 14 = -15.5
:
() =-5-14 (=3/10)
(3/10)= -5 (3/10) -14
f(3/10) = -15/10 -14
= -15-140
----------
10
= -195/10
=- 19.5
if the nth term of a number sequence is n squared-3, find the first 3 terms and the 10th term
The first three terms of the number sequence are 1, 1/8, and 1/27. And the tenth term of this sequence is 1/1000.
We have been given the nth value of a number sequence that is,
aₙ = n⁻³
We can find the terms by replacing n with required values.
Thus the first term , a₁ = (1)⁻³
= 1
Second term, a₂ = (2)⁻³
= 1/8
Third term, a₃ = (3)⁻³
= 1/27
Tenth term, a₁₀ = (10)⁻³
= 1/1000
Hence the first three terms of the number sequence are 1, 1/8, and 1/27. And the tenth term is 1/1000.
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Help please Algebra
Answer: y=-x+17
-1 ==> slope
(0, 17)
Step-by-step explanation:
x+y=17
x-x+y=17-x
y=-x+17
-x/x=-1 ==> slope
y=-x+17
y=-(0)+17
y=17 ==> (0, 17)
4d-(5b+3) for d=-8 and for b=-3
Answer:
I believe the answer would be 384
Step-by-step explanation:
4×-8 (5× -3+3)
-32 × -12
384
BOOM!!! Your Welcome
Koran makes these claims. For each claim, decide whether you agree or disagree. Explain your reasoning using at least one of the data displays.
Considering the box plot and the histogram, we have that the conclusions are as follows:
b. Disagree, as the histogram shows the interval of the lowest value and the highest value needed to to find the range of the data-set, but not these values explicitly like the box plot. Thus, the range would also be given in an interval and not an exact value.
c. Disagree, as the box plot gives only the five number summary, not the measures between them, hence, the total number can only be found using the histogram.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
What does a box-and-whisker plot shows?A box and whisker plot shows five things:
The minimum value.The 25th percentile, which is the median of the bottom 50%.The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.The 75th percentile, which is the median of the upper 50%.The maximum value.What is the range of a data-set?The range of a data-set is given by the difference between the largest value in the data-set and the smallest.
The box plot gives these values explicitly, while the histogram show the number of times each range appears, hence, in statement b:
Disagree, as the histogram shows the interval of the lowest value and the highest value needed to to find the range of the data-set, but not these values explicitly like the box plot. Thus, the range would also be given in an interval and not an exact value.
Statement cDisagree, as the box plot gives only the five number summary, not the measures between them, hence, the total number can only be found using the histogram.
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Please help
This graph shows a portion of an odd function. Use the graph to complete the table of values.
From the odd function, the table is completed as follows:
x = -2, f(x) = -2.x = -3, f(x) = -1.x = -4, f(x) = -2.x = -6, f(x) = -3.What are even and odd functions?In even functions, we have that f(x) = f(-x) for all values of x.In odd functions, we have that f(x) = -f(x) for all values of x.If none of the above statements are true, the function is neither.For this problem, we have that it is an odd function, then:
Since f(2) = 2, f(-2) = -f(2) = -2.Since f(3) = 1, f(-3) = -f(3) = -1.Since f(4) = 2, f(-4) = -f(4) = -2.Since f(6) = 3, f(-6) = -f(6) = -3.More can be learned about odd functions at https://brainly.com/question/2284364
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Question 7 of 25
Does this graph show
a function? Explain how you know.
O A. Yes; the graph passes the vertical line test.
• B. Yes; there are no y values that have more than one x-value.
O C. No; the graph fails the vertical line test.
O D. No; there are y values that have more than one x-value.
PLEASE HURRY
The answer is option C, No; the graph fails the vertical line test.
The graph given doesn't show a function.
The method that is used to determine whether a given graph is a function or not is called the vertical line test. In this test, a vertical line is drawn at an arbitrary point x. If this line touches the given graph at more than 2-points, then the given graph is not a function.
In the given graph, if we draw a vertical line for any x > -1, then this vertical line touches the graph at more than two points.
In other words, for any value x > -1, the corresponding value of y is not unique.
So, the answer is option C, No; the graph fails the vertical line test.
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The Amari family installed an inground pool, what is the volume of the inground pool?
50 points for the answer
Answer:
154^2ft
Step-by-step explanation:
you multiply LxWxH for getting the volume
Translate algebraic words to symbols. Triple the product of ab
Answer:
3ab
Step-by-step explanation:
Triple means multiply by 3.
The product of ab is simply ab.
Answer: 3ab
In the trapezoid below, EF is parallel to BC. If ED = 35, BC = 63, DC = 28,
and EF = 45, find the length of BD. Figures are not necessarily drawn to scale.
EF and BC in the trapezoid below are parallel. if ED=35, BC=63, and DC=28
Find the length of BD if EF = 45. Not all figures are rendered to scale.
A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.
The base angles and the diagonals of an isosceles trapezoid are equal. The intersection point of the diagonals is collinear to the midpoints of the two opposite sides. Opposite sides of an isosceles trapezoid are of the same length or congruent to each other.
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Compute the value of the discriminate and give the number for solutions of the quadratic equation 8x^2+3x-2=0
complete the sentence: On an
annual basis, Sandy's entertainment expenses are percent of Jamie's insurance expenses.
Sandy goes to a club or concert every two weeks and spends an average of $65 each time. Jamie spends
$740 a year on car insurance. what percentange of sandy entertainment expense are to jamie’s ?
Sandy's entertainment expenses are 228.38 percent of Jamie's insurance expenses.
What is the percent?Percentage can be described as the fraction of an amount expressed as a number out of hundred. Percentages are a measure of frequency.
The total amount spent by Sandy on an annual basis = (number of weeks in a year / 2) x amount spent on each visit
(52 /2) x $65
26 x $65 = $1690
Percent of the entertainment as a percentage of the insurance : (1690 / 740) x 100 = 228.38%
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Miranda simplified the expression 5x+9y-4. She says the answer is 10xy.
What error did Miranda make while combining like terms?
What should her answer be?
Miranda made error by combining unlike terms, She added 5x and 9y then subtracted 4 from the answer. Answer is already in simplified form, it cannot be simplified further.
What are like and unlike terms?Like terms are ones whose exponent power and variables are the same. These variables' coefficients could differ. Terms that are comparable to one another are known as algebraic terms. As an illustration, consider the algebraic statement 8y + 2y, where y is the same variable as in the expression but has different coefficients.
Terms that have variables and exponents that differ from one another are said to be unlike terms. In contrast to terms, an expression is known to obtain when the coefficient, variables (in this case, two variables), and exponent powers (if any) are all distinct. Contrary to algebraic terms, the algebraic formula 3x + 9y is known as, where x and y are two separate variables with different coefficients.
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What is a gradient in mathematics
gradient, in mathematics, a differential operator applied to a three-dimensional vector-valued function to yield a vector whose three components are the partial derivatives of the function with respect to its three variables. The symbol for gradient is ∇.
Electrical potential acting on an ion and driving it in one direction or another is the definition of an electrical gradient..
The migration of particles (solutes) from a region of higher concentration to a region of lower concentration, separated by a membrane, is referred to as a concentration gradient.
An ion can travel across a membrane depending on the concentration of a solute thanks to an electrochemical gradient, which combines an electrical gradient with a concentration gradient.
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Find the remainder for this calculation.
161 4
40 Remainder 1
hope this helps :)
Please help me I’m giving brainiest
Answer:
2/9
Step-by-step explanation:
_________________________
Answer:
1 5/9
Step-by-step explanation:
1. 1+1/3 = 1 1/3
2. 1 1/3 x 1 1/3 = 1 7/9
3. 1 7/9 - 2/9 = 1 5/9
A bus ride costs P11 for the first 4 kilometers, and each additional integer kilometers adds P2.00 to the fare. Use a piecewise function to represent the jeepney fare in terms of the distance d in kilometers.
The function which represents the jeepney fare in terms of the distance(d) in kilometers is F = 2x ₊ 3.
Given a bus ride costs 11 pesos for first 4 kilometers.
2.00 pesos for each succeeding kilometer.
Function of Fare (F) in terms of distance (d).
Let F represent the total fare and d represent the distance in kilometers.
F = rate of fare × distance
rate = 11 for 4 km, and 2 for each km
rate = 11, if x ≤ 4,
rate = 2, if (x₋4), and x > 4
hence the equation is:
F = 11 pesos, if x ≤ 4,
F = 11 ₊ 2(x₋4), if x > 4
Simplify the above equation.
F = 11 ₊ 2x ₋ 8
F = 2x ₊ 3
Hence we derived the function in terms of distance as F = 2x ₊ 3
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Yes or no-
Does the point (-2,7) lie on the graph of y= -2x + 1
Answer:
no
Step-by-step explanation:
Thomas records the masses of several rocks as 7.40 g, 7.85 g, 7.60 g, and 7.40 g. what is the mode of thomas’s data set? 0.45 7.40 7.55 7.60
By observation or by inspection, 7.40 appears the most, thus mode.
What Is the Mode?The value that appears most frequently in a data set is called the mode. One mode, several modes, or none at all may be present in a set of data. The mean, or average of a set, and the median, or middle value in a set, are two more common measurements of central tendency.
Data can be disseminated in statistics in a number of different ways. The traditional normal (bell-curve) distribution is the one that is referenced the most. The midpoint of this distribution, as well as some others, coincides with the peak frequency of observed values and is where the mean (average) value is located.
The mean, median, and mode all have the same values for such a distribution. This indicates that this value—the one that appears the most frequently in the data—is the average value, the middle value, and the mode.
When analyzing categorical data, such as automobile models or soda taste varieties, where a mathematical average median value based on ordering cannot be computed, mode is most helpful as a gauge of central tendency.
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Caleb earns points on his credit card that he can use towards future purchases. He earns four points per dollar spent on flights, two points per dollar spent at hotels, and one point per dollar spent on all other purchases. Last year, he charged a total of $9,480 and earned 14,660 points. The amount of money spent on flights was $140 more than twice the amount of money spent on hotels. Write the system representing this situation. *Use "f" for flights *Use "h" for hotels *Use "t" other *do NOT use commas
Answer:
Caleb earns points on his credit card that he can use towards future purchases. He earns four points per dollar spent on flights, two points per dollar spent on hotels, and one point per dollar spent on all other purchases. Last year, he charged a total of $9,480 and earned 14,660 points. The amount of money spent on flights was $140 money than twice the amount of money spent on hotels. Find the amount of money spent on each type of purchase.
Find the measure of the missing angles.
b=
93°
C=
C
b
O
Multiplying and dividing Decimals
In qualifying for an auto race, one driver had lap speeds of 195.3 mph, 190.456 mph,193.557 mph, and 192.575 mph. What was the driver's average speed for the laps driven?
Answer:
193.0 mph
Step-by-step explanation:
The average is defined as the sum of the items divided by the number of items. In this case the sum is 771.888. If we divide that by the number of items (4) we get 192.972. However, our answer typically cannot have more significant digits than the element having the least number of significant digits. Since one of the numbers has only one digit to the right of the decimal point, we would usually want to round our answer to one place as well. So 192.972 will round to 193.0.
Which best describes the triangle?