Answer:
Step-by-step explanation:
an equation for loudness, in decibles, is L=10log10 R where R is the relative intensity of the sound. Sounds that reach levels of 120 decibles or more are painful to humans what is the relative intensity of 120 decibles
Considering the logarithmic loudness equation, the relative intensity of 120 decibels is of [tex]R = 10^{12}[/tex].
What is the logarithmic loudness equation?The equation is:
[tex]L = 10\log{R}[/tex]
In which:
L is the loudness, in decibels.R is the relative intensity.For this problem, we have that L = 120, hence the relative intensity is found as follows:
[tex]120 = 10\log{R}[/tex]
[tex]\log{R} = 12[/tex]
[tex]R = 10^{12}[/tex]
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The equation i= ;δv / r is called __________.
Answer:
Step-by-step expl
2.73 A,16.3 V
Solve kx-2=7 for x. A. x=5/k B. x=9k C. x=9-k D. x=9/k
Answer:
the answer is D- 9/k
Answer:
D- 9/k
Step-by-step explanation:
I think of a number. i add 7 to it and then divide by 10. my answer is 3.8. what number did i start with
Answer:
31
Step by step:
You need to do it in reverse:
Devidng Becomes multiplying so its 3.8x10=38
Then same for this + = - do its 38-7=31
So answer is 31
CAN SOMEONE SHOW ME HOW TO DO THIS PLEASE!
3.5 ft If the ADA guidelines state that a wheelchair ramps angle of elevation must equal 4.8°, would a ramp with the following dimensions be up to code? Show your work and explain. (Picture is
not drawn to scale.)
40 ft
Ꮎ°
Answer:
∠α = 5.001°
a easy calculator for this is:
https://www.calculator.net/right-triangle-calculator.html?av=3.5&alphav=&alphaunit=d&bv=40&betav=&betaunit=d&cv=&hv=&areav=&perimeterv=&x=57&y=16
Solve the system of equations.
2x+y = 7
x - 2y = 6
Put your answer as a coordinate point, or use "no solution" or "infinitely many solutions"(aka "the set of all real numbers").
Answer:
Ans: (4,-1)
Step-by-step explanation:
Lets keep:
2x+y=7 --- equation 1
x - 2y=6 ----- equation 2
equation 2 x 2: 2x - 4y=12 -------equation 3
now subtract equation 1 from equation 3
2x - 4y = 12
(-) 2x + y = 7
----> -5y = 5 [ Divide both sides by -5 ]
------> y= -1
Substitute y= -1 into eqaution 1
----> 2x + -1 = 7 [ add 1 to both side]
----> 2x = 8 [Divide by 2 on both sids]
----> x=4
Ans: (4,-1)
Which quadratic function is in standard
form?
Answer:
h(x) = 2x² -8x -10
Step-by-step explanation:
In the US, a quadratic is in standard form when the terms are listed in order of decreasing degree.
In the UK, a quadratic is in standard form when it is written in vertex form.
__
USThe only function with terms in order of decreasing degree is ...
h(x) = 2x² -8x -10
UKAll of the functions except the last are written in vertex form:
f(x) = (x +1)² +0 . . . . . . . . would usually be written f(x) = (x +1)²y(x) = -(x -6)² +16g(x) = -3(x -3)² +4__
Additional comment
Since the question asks about one function, we assume it is from the perspective of the US understanding of standard form. The point here is that "standard form" may vary from one tradition to another. (The "standard form" for numerical values varies by tradition, as well.)
Simplify b^10/b^2
A. b^5
B. b^-5
C. b^8
D. b^-8
Answer:
C. b^8.
Step-by-step explanation:
b^10/b^2 We subtract the exponents:-
= b^(10-2)
= b^8.
b^8
Step-by-step explanation:
b^10/b^2 ,. b^10-2 ;. b^8
help i’ll give brainliest!
Look at the pic and show your work
We kindly invite to check the image attached below to see the representation of the exponential function. This function shows exponential growth.
How to graph exponential functions
In this occasion we must plot the graph of exponential functions of the form:
y = a · bˣ (1)
Where:
a - Initial valueb - Base of the functionx - Independent valuey - Dependent valueFirst, we need to follow this procedure to create the graph of the curve on Cartesian plane:
Evaluate the function at every x-value.Fill the blanks on table.Mark the rectangular points (x, y) on the Cartesian plane.Match the points.Therefore, we build the exponential curve with the help of a graphing tool (i.e. Desmos), whose result is shown in the image attached below.
From (1) we must understand that exponential functions report growth for b > 1 and decay for 0 < b < 1. Thus, the exponential function y = 3ˣ shows exponential growth according to graphical and analytical findings.
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Please help and explain!!!
As x increases, y value decreases.
The rate of change for y as a function of x is decreasing, therefore the function is a decreasing function.
For all values of x, the function value y, decreases to 0.
The y intercept of the graph is the function value y=8
When x=1, the function value y=5.
From the given graph, it is clear that the curve is decreasing for all values of x. Hence, the rate of change of the give curve is decreasing.
Therefore, the giving function is called as decreasing function.
Since, the function is decreasing for all values of x, the value of y decreases to 0.
Form the graph, it is clear that the y-intercepts is at y=8.
Also, the value of y at x=1 is 5 from the graph.
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A quantity with an initial value of 310 grows continuously at a rate of 8.5% per second. what is the value of the quantity after 1.2 minutes, to the nearest hundredth?
The value of the quantity after 1.2 minutes, to the nearest hundredth, is 313.56
What is the calculated quantity?A quantity is a measurable attribute of a particular thing or group of objects. One quantity might be more than, less than, or equal to another quantity when comparing them. Quantity is a notion that is used frequently in both mathematics and the sciences.
A quantity cannot be a property that cannot be compared. The conventional format for presenting a quantity is as the product of a magnitude and a unit.
According to the question,
Initial value of the quantity=310
Rate of growth= 8.5% per second
Value of the quantity after 1.2 minutes,
=[tex]310(1+\frac{8.5}{100}) ^{1.2*60}[/tex]
=[tex]310(\frac{108.5}{100})^{72}[/tex]
=313.56
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Answer:
141008.06
Step-by-step explanation:
Simplify: 2n (n^2 + 3n + 4)
Answer:
2n^3 + 6n^2 + 8n
Answer: It's 2n^3 + 6n^2 + 8n
Step-by-step explanation:
At the DVD rental store, Jamie found 6 DVDs that she wanted, but can only rent 4. How many possible choices can she make
At the DVD rental store, Jamie found 6 DVDs that she wanted, but can only rent 4. Jamie can make 15 possible choices, as per combinations of DVDs.
Number of Possible Combinations:
Given Information is as follows,
Total number of DVDs that Jamie wanted, n = 6
Number of DVDs Jamie can rent at a time, x =4
The Combinations formula is given as,
ⁿCₓ = n! / (n-x)! x!
Here, n = 6 and x = 4
Substituting these values of n and x in the Combinations formula, we get,
⁶C₄ = 6! / (6-4)! 4!
⁶C₄ = 6! / 2! 4!
⁶C₄ = 6×5×4! / 2! 4!
⁶C₄ = 6×5 / 2
⁶C₄ = 3×5
⁶C₄ = 15
Thus, Jamie can make 15 possible combinations of DVDs.
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Select the correct answer. Which function has a domain of all real numbers?
y = -x + 5 y = -2(3x) ³ O A. B. OC. y = CD. y = (x + 2)² (2x) ³ (2x) - 7
The function that has a domain of all real numbers is:
A. [tex]y = 2x^{\frac{1}{3}} - 7[/tex].
What is the domain of a function?The domain of a function is the set that contains all possible input values for the function.
If a function has an even root, equivalent to an exponent of [tex]\frac{1}{n}[/tex] with n even, the domain is only positive values, while if the exponent is odd, the domain is all real values.
Researching the problem on the internet, the function with odd exponent is:
A. [tex]y = 2x^{\frac{1}{3}} - 7[/tex].
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At a coffee shop, the manager recorded the number of customers who visited the store at the end of each hour. The graph shows the recordings for a 24-hour period. The function describing this graph is a transformation of the parent sine function, y=sin(x)
Which value is closest to the amplitude of the transformed function?
O 83 customers
O 27 customers
O 54 customers
O 30 customers
Based on the transformed function of y = sin(x) and the given parameters, the value that is closest to the amplitude of the transformed function is 54
Which value is closest to the amplitude of the transformed function?The amplitude of the function is calculated
Amplitude = Highest - Lowest
From the graph, we have the following points
Highest = 84
Lowest = 30
Substitute the known values in the above equation
Amplitude = 84 - 30
Evaluate the difference
Amplitude = 54
Based on the transformed function of y = sin(x) and the given parameters, the value that is closest to the amplitude of the transformed function is 54
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A sculpture is formed from a square-based pyramid resting on a cuboid. The base of the cuboid and the base of the pyramid are both squares of side 3 cm. The height of the cuboid is 8 cm and the total height of the sculpture is 15 cm. The total mass of the sculpture is 738 g. The cuboid-part of the sculpture is made of iron with density 7.8 g/cm³. The pyramid is made from copper. Calculate the density, in g/cm³, of the copper.
Answer:
7.8g/cm
Step-by-step explanation:
find the exact value of sin (x-y) if sinx=4/9 and siny=1/4
Answer:
sin(x - y) = 0.21
Step-by-step explanation:
we have the sin values which we need to get cos values
sin (A-B) = sin A cos B - sin B cos A
sin² A + cos² A = 1
sin x = 4/9
cos² x = 1 - sin² x = 1 - 16/81 = 65/81
cos² x = 65/81
cos x = √65/9
sin y = 1/4
cos² y = 1 - sin² y = 1 - 1/16 = 15/16
cos² y = 15/16
cos y = √15/4
sin(x − y) = sin x cos y - sin y cos x
sin(x - y) = 4/9 √15/4 - 1/4 √65/9
sin(x - y) = (4√15-√65)/36
sin(x - y) = 0.21
socratic Narad T
Answer: C
Step-by-step explanation:
on edg
In Circle P, chord AB measures 4x - 6 centimeters and chord CD measures 6x - 12
centimeters. If Segment AB and Segment CD are each 4 centimeters from P, find AP.
Answer:
5 cm
Step-by-step explanation:
When two chords are equidistant from the center of the circle, the two chords have equal length. Therefore, the length of chord AB, 4x - 6, is equal to the length of chord CD, 6x - 12.
4x - 6 = 6x - 12
6 = 2x
x = 3
Now that we know x = 3, we can substitute the value back into the original expression, 4x - 6, to find the length of chord AB.
AB = 4x - 6 = 4*3 - 6 = 12 - 6 = 6 cm
When measuring the distance between a line and a point, we create a segment through the point perpendicular to the line. In Geometry, we also learn that the perpendicular bisector of a chord in a circle contains the center of the circle.
In this case, the gray line perpendicularly bisects segment AB. PX is 4 cm long and AX is 3 cm long (because AX is half the length of AB). Notice that triangle AXP is a right triangle, so we can use Pythagorean Theorem to find AP.
[tex]AP^{2} = AX^{2} +PX^{2}[/tex]
[tex]AP = \sqrt{3^{2} +4^{2} }[/tex]
[tex]AP =\sqrt{9+16}[/tex]
[tex]AP = \sqrt{25}[/tex]
[tex]AP = 5[/tex]
find the equation of the straight line with ng gradient and points. b) - 1/2, (2,3)
Answer:
[tex]y = -\frac{1}{2} x+4[/tex]
Step-by-step explanation:
Standard form for equation of line: y = mx + c
where m = gradient or slope
c = y-intercept
From the question we know that,
x = 2
y = 3
m = - 0.5
We will substitute these values into the equation to find c.
3 = (-0.5)(2) + c
3 = - 1 + c
c = 3 + 1 = 4
Therefore the equation of this line is [tex]y = -\frac{1}{2} x+4[/tex]
F(x)= x(x+3)(x+1)(x-4) has zeros at x=-3
Answer: C) Sometimes positive; sometimes negative
============================================================
Explanation:
Pick a value between x = -1 and x = 0. Let's say we go for x = -0.5
Plug this into f(x)
f(x) = x(x+3)(x+1)(x-4)
f(-0.5) = -0.5(-0.5+3)(-0.5+1)(-0.5-4)
f(-0.5) = -0.5(2.5)(0.5)(-4.5)
f(-0.5) = 2.8125
We get a positive value.
This shows that f(x) is positive on the region of -1 < x < 0
----------------
Now pick a value between x = 0 and x = 4. I'll use x = 1
f(x) = x(x+3)(x+1)(x-4)
f(1) = 1(1+3)(1+1)(1-4)
f(1) = 1(4)(2)(-3)
f(1) = -24
Therefore, f(x) is negative on the interval 0 < x < 4
----------------
In short, f(x) is both positive and negative on the interval -1 < x < 4
It's positive when -1 < x < 0
And it's negative when 0 < x < 4
Answer:
sometimes positive sometimes negative
Step-by-step explanation:
I did it on Khan Academy
Please help me i need to turn this in soon and i don't understand
circumference of the mirror = 175.84 cm
area of the mirror = 2461.76 cm²
The measure needed to find the amount of wire round the mirror is the circumference.
The measure needed to find the amount of glass needed is the area.
How to find area and circumference of a circle?The circumference and area of a circle can be found as follows:
circumference of the mirror = 2πr
circumference of the mirror = 2 × 3.14 × 28 = 175.84 cm
area of the mirror = πr²
area of the mirror = 3.14 × 28²
area of the mirror = 2461.76 cm²
The measure needed to find the amount of wire round the mirror is the circumference.
The measure needed to find the amount of glass needed is the area.
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Find the difference. express the answer in scientific notation. (5.29 times 10 superscript 11 baseline) minus (3.86 times 10 superscript 11 baseline)
The difference between (5.29 times 10 superscript 11 baseline) minus (3.86 times 10 superscript 11 baseline) is 1. 43 × 10^11
How to determine the notation
Given the expression
(5. 29 × 10^11) - (3. 86 × 10 ^11)
First, find the common factor
10^11 ( 5. 29 - 3. 86)
Then substract the values within the bracket
10^11 (1. 43)
Multiply with the factor, we have
⇒1. 43 × 10^11
Thus, the difference between (5.29 times 10 superscript 11 baseline) minus (3.86 times 10 superscript 11 baseline) is 1. 43 × 10^11
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Answer:
A
Step-by-step explanation:
Find the difference. Express the answer in scientific notation.
(5.29 times 10 Superscript 11 Baseline) minus (3.86 times 10 Superscript 11 Baseline)
1.43 times 10 Superscript 11
9.15 times 10 Superscript 11
1.43 times 10 Superscript 22
9.15 times 10 Superscript 22
Determine the (x, y) coordinates of the vertex of the parabola that represents each of the following functions:
The vertices of the parabolae are:
(h, k) = (- 3, - 1)(h, k) = (1, - 9)(h, k) = (4, 1)(h, k) = (3/4, 9/4)(h, k) = (- 3, 2)(h, k) = (0, 36)(h, k) = (7/2, 9/4)(h, k) = (5, - 1)(h, k) = (1, - 3)(h, k) = (- 1/2, 1)How to find the coordinates of the vertex of a parabola
Parabolae are represented by quadratic equations. In this problem we have parabolae in standard form and we need to determine its vertex form to find the needed information. Now we summarize the forms of quadratic equations:
Standard form
y = a · x² + b · x + c (1)
Vertex form
y - k = C · (x - h)² (2)
Please notice that (x, y) = (h, k) represents the vertex of the parabola.
To change quadratic equations from standard form into vertex form we need to apply algebraic handling:
y = x² + 6 · x + 8
y + 1 = x² + 6 · x + 9
y + 1 = (x + 3)²
(h, k) = (- 3, - 1)
y = x² - 2 · x - 8
y + 9 = x² - 2 · x + 1
y + 9 = (x - 1)²
(h, k) = (1, - 9)
y = - x² + 8 · x - 15
y = - 1 · (x² - 8 · x + 15)
y - 1 = - 1 · (x² - 8 · x + 16)
y - 1 = - 1 · (x - 4)²
(h, k) = (4, 1)
y = - 4 · x² + 6 · x
y = - 4 · [x² - (3/2) · x]
y + (- 4) · (9/16) = - 4 · [x² - (3/2) · x + 9/16]
y - 9/4 = - 4 · (x - 3/4)²
(h, k) = (3/4, 9/4)
y = x² + 6 · x + 11
y - 2 = x² + 6 · x + 9
y - 2 = (x + 3)²
(h, k) = (- 3, 2)
y = - x² + 36
y - 36 = - x²
(h, k) = (0, 36)
y = - x² + 7 · x - 10
y = - (x² - 7 · x + 10)
y + (- 1) · (9/4) = - (x² - 7 · x + 49/4)
y - 9/4 = - (x - 7/2)²
(h, k) = (7/2, 9/4)
y = x² - 10 · x + 24
y + 1 = x² - 10 · x + 25
y + 1 = (x - 5)²
(h, k) = (5, - 1)
y = 2 · x² - 4 · x - 1
y = 2 · (x² - 2 · x - 1/2)
y + 2 · (3/2) = 2 · (x² - 2 · x + 1)
y + 3 = 2 · (x - 1)²
(h, k) = (1, - 3)
y = - 4 · x² - 2 · x
y = - 4 · [x² + (1/2) · x]
y + (- 4) · (1/4) = - 4 · [x² + (1/2) · x + 1/4]
y - 1 = - 4 · (x + 1/2)²
(h, k) = (- 1/2, 1)
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Instructions: Find the missing segment in the image below.
Answer: 7
Step-by-step explanation:
By the triangle proportionality theorem,
[tex]\frac{?}{21}=\frac{3}{9}\\\\?=7[/tex]
Ellen has a bag with 3 red marbles and 2 blue marbles in it. she is going to randomly draw a marble from the bag 300 times, putting the marble back in the bag after each draw. how many times do you predict that the marble picked will be blue using the theoretical probability?
The blue marble is predicted to be picked 120 times, in the experiment of picking a marble from a bag containing 3 red and 2 blue marbles and performing this experiment 300 times, using the theoretical probability.
The theoretical probability of any event is the ratio of the number of favorable outcomes to the event, to the total number of possible outcomes in the experiment.
If we have an event A, the number of favorable outcomes to event A as n, and the total number of possible outcomes in the experiment as S, then the theoretical probability of event A is given as:
P(A) = n/S.
In the question, we are given that Ellen has a bag with 3 red marbles and 2 blue marbles in it. She is going to randomly draw a marble from the bag 300 times, putting the marble back in the bag after each draw.
We are asked the predict the number of times that the marble picked will be blue using the theoretical probability.
Let the event of picking a blue marble be A.
The number of favorable outcomes to event A (n) = 2 {The total number of blue marbles in the bag}.
The total number of possible outcomes in the experiment of picking a ball (S) = 5 {The total number of marbles in the bag}.
Thus, the theoretical probability of event A is,
P(A) = n/S = 2/5 = 0.4.
To predict the number of times marble picked was blue, we multiply the time's the experiment was performed by the theoretical probability of picking a blue ball.
Thus, the predicted number of times = 300 * 0.4 = 120.
Thus, the blue marble is predicted to be picked 120 times, in the experiment of picking a marble from a bag containing 3 red and 2 blue marbles and performing this experiment 300 times, using the theoretical probability.
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Find the area of the region defined by the region defined by the inequality 2|x| + 3|y-1| ≤ 6
If [tex]x[/tex] and [tex]y-1[/tex] have the same sign, then either
[tex]x>0,y>1 \implies 2|x| + 3|y-1| = 2x + 3(y-1)=6 \implies 2x + 3y = 9[/tex]
or
[tex]x<0,y<1 \implies 2|x| + 3|y-1| = -2x - 3(y-1) = 6 \implies 2x + 3y = -3[/tex]
If [tex]x[/tex] and [tex]y-1[/tex] have opposite sign, then
[tex]x>0,y<1 \implies 2|x| + 3|y-1| = 2x - 3(y-1) = 6 \implies 2x -3y = 3[/tex]
or
[tex]x<0,y>1 \implies 2|x| + 3|y-1| = -2x + 3(y-1) = 6 \implies 2x-3y = -9[/tex]
This is to say that the region has boundaries given by these two sets of parallel lines, so we can equivalently describe the region with the set
[tex]R = \left\{(x,y) \mid -3\le2x+3y\le9 \text{ and } -9\le2x-3y\le3\right\}[/tex]
The area of [tex]R[/tex] is given by the double integral
[tex]\displaystyle \iint_R dx\,dy[/tex]
To compute the area, change the variables to
[tex]\begin{cases}u = 2x + 3y \\ v = 2x - 3y\end{cases} \implies \begin{cases}x = \frac14(u+v) \\ y = \frac16(u-v)\end{cases}[/tex]
The Jacobian for this transformation is
[tex]J = \begin{bmatrix} x_u & x_v \\ y_u & y_v \end{bmatrix} = \begin{bmatrix}1/4 & 1/4 \\ 1/6 & -1/6\end{bmatrix}[/tex]
with determinant [tex]\det(J) = -\frac1{12}[/tex]. Then the integral transforms to
[tex]\displaystyle \iint_R dx\,dy = \iint_R |J| \, du \, dv = \frac1{12} \int_{-3}^9 \int_{-9}^3 dv\, du[/tex]
which is 1/12 the area of a square with side length 12. Hence the integral evaluates to
[tex]\displaystyle \iint_R dx\,dy = \frac1{12}\times12^2 = \boxed{12}[/tex].
If x =2 y=3 z=4 solve the following
x² + y²
Answer:
13
Step-by-step explanation:
Given x = 2, y = 3 and z = 4. We'll evaluate the value of x² + y² with given condition.
First, remind that we are only given the expression of x-term and y-term only and therefore, z-term is not included - it's not to be considered.
Substitute x = 2 and y = 3 in the expression:
[tex]\displaystyle{2^2+3^2 = 4+9}\\\\\displaystyle{4+9 = 13}[/tex]
Hence, the value of x² + y² when x = 2 and y = 3 is 13.
Please let me know if you have any questions!
Show your steps in evaluating each of the following expressions. The steps count 4 points each, the answer is 1
The steps in evaluating each of the following expressions is shown below.
What is an expression?An expression is a mathematical equation which shows the relationship that exist between two or more numerical quantities or variables.
How to evaluate the given expressions?15 - 35/7 - 2 + 3 - 4
15 - (35/7) - 2 + 3 - 4 (bracket and division)
15 - 5 - 2 + 3 - 4 (regroup)
15 + 3 - 5 - 2 - 4 (subtract and add)
18 - 11 = 7.
Expression 2.10 + 2(9 - 5) - 16/18
10 + (2 × 4) - 8/9 (bracket and division)
10 + 8 - 8/9 (add)
18 - 8/9 (subtract)
162/9 - 8/9 = 17 1/9 or 154/9.
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Complete Question:
Show your steps in evaluating each of the following expressions. The steps count 4 points each, the answer is 1 point.
A. 15 - 35/7 -2 + 3 -4
B. 10 + 2(9 - 5) - 16/18
Determine the number of terms in the sequence: –45, –32, –19, –6, ..., 124.
Step-by-step explanation:
[tex] - 32 + 45 = 13 \\ t_{n} = ( a_{1} + (n - 1)d) \\ \\ d = 13 \: \: a_{1} = - 45[/tex]
[tex] t_{n} = - 45 + (n - 1)13 = = = > \\ - 45 + 13n - 13 = = = > \\ t_{n} = 13n - 58[/tex]
and now
[tex]124 = 13n - 58 = = = > \\ 182 = 13n = = = > n = 14[/tex]
The number of terms in the sequence: –45, –32, –19, –6, ..., 124 = 9.
The common difference is -45 - (-32)= 13
d = 13.
What is arithmetic progress?AP is a sequence of numbers in order, in which the difference among any two consecutive numbers is a constant cost. it's also referred to as mathematics series.
using arithmetic progress:-
last term = (n-1)d
first term(a) = –45
term = a + (n-1)d
there is a difference of 13, so the sequence will be
–45, –32, –19, –6,7, 20, 33, 46, 59, 72, 85, 98, 111, 124.
∴ number of terms = 9
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