Solve. 60) Atmospheric pressure P at altitude a is given by P- Poe-0.00005a, where Po is the pressure at sea level. Assume that Po 14.7 lbjin2 (pounds per square inch). Find the pressure at an altitude of 13,000 ft. At what altitude is the pressure 14.7 lb/in?? B) 7.831 Ib/in2,0 ft D) 7.674 lbin2;0 ft A) 7.674 lb/in2, 10 ft C) 7.674 lb/in2; 100 ft Find the elasticity. 300 61) q= D(x)=(x+8,2 2x B) E(x)+8 A) E(x)- 600x(x + 8) 2 D) E(x)+8 600x (x+ 8)3 C) E(x) = For the given demand function, find the valuets) of x for which total revenue is a B) 50 which total revenue is a maximum 62) x D(x)-300-6x A) 100 D) 25 C) 40 Evaluate. (8t2-5t-2) dt 63 B)8t3-5t2-2t + C 2-2t+ C D) 4t3-5t2-2t+C C)16t-5+C 31 dx 64) 31 31 A)- C D) -31x+ C B) 31x + C Find fsuch that the given conditions are satisfed. 65) f(x) = x2 + 4, f(0) = 23 A) f(x) x3+4x+23 C)f(x) = +A+23 B) fx) x3+4x2+23 D) ffx)-X+ 4x
Answers
The value of pressure is 14.7 lb/in² at sea level. so correct option is A) The elasticity function E(x) is (x + 8) / (2x^2). so correct option is B). Total revenue R(x) is 25. so correct option is D). Integrating the given function 8t^2 - 5t - 2 gives (8/3)t^3 - (5/2)t^2 - 2t + C. so correct option is B). Integrating the constant function 31 gives 31x + C. so correct option is B). The value of F(x) is x² + 23. The correct option is C).
We are given the atmospheric pressure at an altitude a as P = Po - 0.00005a, where Po = 14.7 lb/in².
To find the pressure at an altitude of 13,000 ft, we convert the altitude to inches and substitute it into the equation for P:
Altitude = 13,000 ft = 13,000 * 12 in/ft = 156,000 in
P = Po - 0.00005a = 14.7 - 0.00005(156,000) = 6.9 lb/in²
Therefore, the pressure at an altitude of 13,000 ft is 6.9 lb/in².
To find the altitude at which the pressure is 14.7 lb/in², we set P = Po in the equation for P and solve for a:
P = Po - 0.00005a
14.7 = 14.7 - 0.00005a
0.00005a = 0
a = 0
Therefore, the pressure is always 14.7 lb/in² at sea level (altitude = 0 ft).
So, the correct answer is A).
The elasticity function E(x) is given by:
E(x) = D(x) / (x * P(x))
where D(x) is the demand function and P(x) is the price function.
Here, D(x) = x + 8 and P(x) = 2x.
Substituting these values, we get:
E(x) = (x + 8) / (2x^2)
Answer is B) E(x) = (x + 8) / (2x^2).
Total revenue R(x) is given by:
R(x) = x * D(x)
where D(x) is the demand function.
Here, D(x) = 300 - 6x.
Substituting these values, we get:
R(x) = x(300 - 6x) = 300x - 6x^2
Differentiating R(x) w.r.t x, we get:
dR/dx = 300 - 12x
Setting dR/dx = 0 to find the maximum, we get:
300 - 12x = 0
x = 25
Therefore, x = 25 is the value for which total revenue is a maximum.
Answer is D) 25.
Integrating the given function 8t^2 - 5t - 2 w.r.t t, we get:
∫(8t^2 - 5t - 2) dt = (8/3)t^3 - (5/2)t^2 - 2t + C
where C is the constant of integration.
Answer is B) (8/3)t^3 - (5/2)t^2 - 2t + C.
Integrating the constant function 31 w.r.t x, we get:
∫31 dx = 31x + C
where C is the constant of integration.
Answer is B) 31x + C.
We are given the function f(x) = x² + 4 and f(0) = 23.
To find the form of the function, we can integrate f'(x) = 2x to obtain f(x) = x² + C, where C is the constant of integration. We can then use the initial condition f(0) = 23 to find the value of C:
f(0) = 0² + C = C = 23
Therefore, f(x) = x² + 23.
The answer is (C) f(x) = x² + 23.
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--The given question is incomplete, the complete question is given
" Solve. 60) Atmospheric pressure P at altitude a is given by P- Poe-0.00005a, where Po is the pressure at sea level. Assume that Po 14.7 lbjin2 (pounds per square inch). Find the pressure at an altitude of 13,000 ft. At what altitude is the pressure A) 14.7 lb/in?? B) 7.831 Ib/in2,0 ft D) 7.674 lbin2;0 ft A) 7.674 lb/in2, 10 ft C) 7.674 lb/in2; 100 ft Find the elasticity. 300
61) q= D(x)=(x+8,2 2x B) E(x)+8 A) E(x)- 600x(x + 8)2 B) E(x) = (x + 8) / (2x^2). D) E(x)+8 600x (x+ 8)3 C) E(x) = 8x^2 For the given demand function, find the valuets) of x for which total revenue is a B) 50 which total revenue is a maximum
62) x D(x)-300-6x A) 100 D) 25 C) 40
63) Evaluate. (8t2-5t-2) dt 63 B)8t3-5t2-2t + C 2-2t+ C D) 4t3-5t2-2t+C C)16t-5+C 31 dx
64) 31 31 A)- C D) -31x+ C B) 31x + C Find fsuch that the given conditions are satisfed.
65) f(x) = x2 + 4, f(0) = 23 A) f(x) x3+4x+23 C)f(x) = +A+23 B) fx) x3+4x2+23 D) ffx)-X+ 4x"--
Related Questions
A pair of shoes cost $50. You have a coupon for 20% off. What is the total cost of
the shoes after 5% sales tax is included?
Answers
Explanation:
20% off means you pay only 80%
80%*50$=0.8*=40$
5% tax:*40=0.05*40$=$2.00 tax
$40.00+$2.00=$42
solve sinx = 2x-3 using false position method
Answers
The root of the equation sinx = 2x-3 is 0.8401 (approx).
Given equation is sinx = 2x-3
We need to solve this equation using false position method.
False position method is also known as the regula falsi method.
It is an iterative method used to solve nonlinear equations.
The method is based on the intermediate value theorem.
False position method is a modified version of the bisection method.
The following steps are followed to solve the given equation using the false position method:
1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.
Here, f(x) = sinx - 2x + 3.
2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))
3. Evaluate the function at point c and find the sign of f(c).
4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.
5. Repeat the steps 2 to 4 until we obtain the required accuracy.
Let's solve the given equation using the false position method.
We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.
So, the root lies between 0 and 1.
The calculation is shown in the attached image below.
Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).
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Jennifer made these measurements on ABC,BC must be-?
Answers
Answer:
between 10 and 12
Step-by-step explanation:
Given the measure of angles:
m∠B = 70°
m∠C = 60°
m∠A = 50°
We know m∠B = 70° because the sum of interior angles in a triangle is equal to 180°.Following this information, since the side lengths are directly proportional to the angle measure they see:
Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.
Angle C is the smallest angle, so the side AB is the shortest side.
Therefore, side BC must be between 10 and 12 inches.
which two values will make the equation true, for y ≠0
Answers
\(y\sqrt[3]{6y}-14\sqrt[3]{48y}~~ = ~~-11y\sqrt[3]{6y} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \square y\sqrt[3]{6y}-14\sqrt[3]{48y^{\square }}\implies \square y\sqrt[3]{6y}-14\sqrt[3]{2^3\cdot 6y^{\square }}\implies \square y\sqrt[3]{6y}-28\sqrt[3]{6y^{\square }} \\\\\\ \underline{17} y\sqrt[3]{6y}-28\sqrt[3]{6y^{\underline{4}}}\implies 17y\sqrt[3]{6y}-28\sqrt[3]{6y^3\cdot y} \\\\\\ \stackrel{ \textit{like-terms} }{17y\sqrt[3]{6y}-28y\sqrt[3]{6y}}\implies \boxed{-11y\sqrt[3]{6y}}\)
For a luxury doughnut producer the average selling price is £2. The average variable cost is 40% of the selling price and its fixed cost per day is £300. Calculate total costs per day assuming it produces 400 doughnuts per day.
Answers
Answer:
620
Step-by-step explanation:
selling 400 doughnuts means selling 800 £ worth of doughnuts. 800 x 0.4 ( to find 40 percent) = 320, + 300 because the the fixed cost = 620. :)
The total cost per day of producing 400 doughnuts is £620.
The total cost of producing doughnuts is the sum of fixed cost and variable cost. Fixed cost is the constant that remains constant regardless of the amount of doughnuts made. Variable cost is the cost that varies with the number of doughnuts made.
Total cost = fixed cost + variable cost
Fixed cost = £300
Variable cost = average variable cost x number of output
Average variable cost = 40% x £2
= 0.40 x £2 = 0.80
Variable cost = £0.80 x 400 = £320
Total cost = £320 + £300 = £620
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#9. Find the slope of the line in the graph.
Remaining Money
у
140
120
A 100
Money ($)
80
60
40
20
0 1 2 3 4 5 6 7 8 9
Number of Games
Answers
Please help meeee I would be happy
Answers
GCF = Greatest Common Factor
So this means the last two wouldn’t work automatically and it’s A because one of the numbers only go up to the fourth power :)
Answer: 4x^4
Hope this helps! :)
Step-by-step explanation:
Simplifying
48x4 = 44x5
Solving
48x4 = 44x5
Solving for variable 'x'.
Combine like terms: 44x5 + -44x5 = 0
48x4 + -44x5 = 0
Factor out the Greatest Common Factor (GCF), '4x4'.
4x4(12 + -11x) = 0
Ignore the factor 4.
EDIT: I hope this makes u happy!!! :D
I need help with these problems ASAP.
Answers
The following cases are described:
The rational function is (f / g) (x) = x - 6, whose domain is all the real numbers.The rational function is (f / g) (x) = 1 / (x + 2), whose domain is all the real numbers except x = - 2.How to derive a rational function by division of functions and find its domain
Algebraically speaking, rational functions are expressions of the form f(x) = p(x) / q(x), such that q(x) ≠ 0, where p(x) is the numerator and q(x) is the denominator. Rational functions can be found by using the defintion of division between two functions:
(f / g) (x) = f(x) / g(x)
And the domain of (f / g) (x) is every value of x such that g(x) ≠ 0. Now we proceed to find all the required information for each case:
Case 1 - f(x) = x² - 3 · x - 18, g(x) = x + 3
Rule: (f / g) (x) = (x² - 3 · x - 18) / (x + 3)
(f / g) (x) = [(x - 6) · (x + 3)] / (x + 3)
(f / g) (x) = x - 6
Domain: Since the resulting expression is a linear function, then the domain of (f / g) (x) is all the real numbers.
Case 2 - f(x) = x - 3, g(x) = x² - x - 6
Rule: (f / g) (x) = (x - 3) / (x² - x - 6)
(f / g) (x) = (x - 3) / [(x - 3) · (x + 2)]
(f / g) (x) = 1 / (x + 2)
Domain: The domain of the rational function is any real number except x = - 2.
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What is 20% of 81 ?
pls help i need the right answeer
Answers
Answer:
16.2 to be exact.
Step-by-step explanation:
Answer:
16.2
Step-by-step explanation:
Find the derivative of the function. g(x)=
x
7
−2
x
2
−3x+2
Answers
The answer is 7x6-4x-3
write an equation for the line that passes through (-12, 12) and whose slope is undefined. give an answer in standard form. write the equation into standard form where all coefficient write the equation in the standarm in the standard form where all coeficcients are expressed as relatively
Answers
The equation in standard form where all coefficients are expressed relatively is -x + 0y = 12.
If the slope of a line is undefined, it means the line is vertical. A vertical line does not have a defined slope, but its equation can still be expressed in standard form.
The equation for a vertical line passing through the point (-12, 12) can be written as:
x = -12
In standard form, the equation is typically written as:
x + 0y = -12
However, to express all coefficients relatively, we can multiply the equation by any non-zero constant to make the coefficient of x equal to 1. In this case, we can multiply the equation by -1 to achieve that:
-x + 0y = 12
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A publisher claims that the average salary paid at its company is $37,500 but it could differ as much as $4,500. Write and solve an absolute value inequality to determine the range of salaries at this company.
Answers
|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000
Picture attached below
Answers
Answer:
b
Step-by-step explanation:
Using the trigonometric identity
secx = \(\frac{1}{cosx}\) and cos60° = \(\frac{1}{2}\)
Given
sec [ \(sin^{-1}\) \(\frac{\sqrt{3} }{2}\) ] ← evaluate bracket
= sec60°
= \(\frac{1}{cos60}\)
= \(\frac{1}{\frac{1}{2} }\)
= 2 → b
this is for 75 points and brainlyest if you can help
Answers
Answer:
(3x - 5°) = 52°
Step-by-step explanation:
Formula we use,
→ A + B + C + D + E = 540°
Then the value of x will be,
→ A + B + C + D + E = 540°
→ (6x + 25°) + (5x + 10°) + (3x - 5°) + (5x + 10°) + (6x + 25°) = 540°
→ (6x + 5x + 3x + 5x + 6x) + (25° + 10° - 5° + 10° + 25°) = 540°
→ 25x + 65° = 540°
→ 25x = 540° - 65°
→ 25x = 475°
→ x = 475/25
→ [ x = 19° ]
The value of angle (3x - 5°) will be,
→ (3x - 5°)
→ (3 × 19) - 5°
→ 57° - 5°
→ [ 52° ]
Hence, value of angle (3x - 5°) is 52°.
The slice of a pizza at a movie house was $4.00 in
2015. It was increased to $6.00 in 2020. What was the percent of increase of the price of pizza from 2015
Answers
Answer:
50%
Step-by-step explanation:
I'm sure there's a better way of explaining it but the difference between 4 and 6 is 2, 2 is half of 4 aka 50%
The sum of the speeds of two trains is 717.4 miles per hour. If the speed of the first train is 4.6 miles per hour faster than that of the second train, find the speed of each
Answers
Answer:
The second train speed is 356.4 miles per hour
And, the first train speed is 361 miles per hour
Step-by-step explanation:
The computation of the speed of each train is as follows
Given that
The Sum of the speed of two trains is 717.4 miles per hour
Let us suppose the second train speed be x
So for the first train, the speed is x + 4.6
Now the equation is
x + x + 4.6 = 717.4
2x + 4.6 = 717.4
2x = 717.4 - 4.6
2x = 712.8
x= 356.4
Therefore the second train speed is 356.4 miles per hour
And, the first train speed is = 356.4 + 4.6 = 361 miles per hour
the width of a rectangle is 7 cm less than its length. If it perimeter us 50cm calculate its dimensions
Answers
Answer:length=10 width =5 Perimeter =30
Step-by-step explanation:
Area =LxW
If area is 50cm^2 and length is 5cm more than The width then the length must be 10cm. Now divide the area by the length to get width. 50/10=5 which is the width.
The formula for perimeter is P=2L+2W
P=2(10)+2(5)
P=30
for the functions f(x)=5x-x^(2) and g(x)=x^(2)+4x-45 find f+g,f-g,fg and (f)/(g). determine the domain for each fuction
Answers
To find the sum, difference, product, and quotient of the functions f(x) = 5x - x^2 and g(x) = x^2 + 4x - 45, we can perform the corresponding operations on the functions.
Let's calculate the operations for the given functions:
1. Sum (f + g): Add the two functions together:
(5x - x^2) + (x^2 + 4x - 45) = -x^2 + 9x - 45
2. Difference (f - g): Subtract the second function from the first:
(5x - x^2) - (x^2 + 4x - 45) = 5x - 2x^2 - 4x + 45 = -2x^2 + x + 45
3. Product (f * g): Multiply the two functions:
(5x - x^2) * (x^2 + 4x - 45) = 5x^3 + 20x^2 - 225x - x^4 - 4x^3 + 45x^2
4. Quotient (f / g): Divide the first function by the second:
(5x - x^2) / (x^2 + 4x - 45)
Now let's determine the domain for each function::
Step-by-step explanation:
- The function f(x) = 5x - x^2 is a polynomial function, so it is defined for all real numbers.
- The function g(x) = x^2 + 4x - 45 is also a polynomial function, so it is defined for all real numbers.
Therefore, the domain for both f(x) and g(x) is the set of all real numbers (-∞, +∞).
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simplify
8x2 – 12x
4x2 – 12x + 9
Answers
Answer:
1. 4x(2x-3)
2. (2x-3)^2
hope this helps!!:)
Step-by-step explanation:
Answer:
8into2 is 16 -12 is 4 4into2is 8-12is-4 12into+108Step--step explanation:
Solve the following equation for all values of x.
10.x²-5x=0
Answers
two ladders, one that is 6 6 feet long and one that is 9 9 feet long, are leaning up against a building. both ladders are leaning so that the angle they make with the ground is the same. the shorter ladder touches the wall at a point that is 5 5 feet 9 9 inches above the ground. how much higher above the ground does the second ladder touch the wall above the shorter ladder?
Answers
The second ladder touches the wall approximately 11 feet higher than the shorter ladder, or equivalently, around 8 feet 8 inches higher.
Let's denote the height at which the second ladder touches the wall as h. We can set up a proportion based on the similar right triangles formed by the ladders and the building:
(6 6 feet) / (h) = (9 9 feet) / (5 5 feet 9 9 inches + h)
To solve for h, we can cross-multiply and solve the resulting equation:
(6 6 feet) * (5 5 feet 9 9 inches + h) = (9 9 feet) * (h)
Converting the measurements to inches:
(66 inches) * (66 inches + h) = (99 inches) * (h)
Expanding and rearranging the equation:
4356 + 66h = 99h
33h = 4356
Solving for h:
h = 4356 / 33 = 132 inches
Converting back to feet and inches:
h ≈ 11 feet
Therefore, the second ladder touches the wall approximately 11 feet higher than the shorter ladder, or equivalently, around 8 feet 8 inches higher.
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Subtract. (7b 1) - (3b - 1) what is the answer? question 1 options: a. 4b 2
b. 10b c. 4b d. 10b 2
Answers
Answer: 4b+2
Step-by-step
(7b+1)-(3b-1)
7b+1-3b+1
4b+2
When (7b -1) - (3b - 1) is substrate then final value will be 4b.
Answer is 4b and correct option is a.
Subtraction would be the operation as well as process of determining the difference among two numbers or quantities. Subtracting one amount from another is however known as 'taking one number aside from another'.
Here given that,
(7b-1)-(3b-1)
we need to subtraction , so first we need to open brackets,
7b-1-3b+1= 4b
7b-3b will be equal to 4b.
so got the answer 4b and option a is correct according to this answer.
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PLEASE HELP QUICKLY: (FIRST ANSWER GETS BRAINLIEST 100 POINTS)
The price of an item at Markdowns department store is $110.95. You have a coupon for 10% off any purchase over $100.00. How much will you save by using the coupon?"
$16.25
$10.00
$11.10
Answers
Answer:
3rd one
Step-by-step explanation:
i answered as fast as i could
your price will be 99.855
11.095
3rd one
110.95 - 99.855 is 11.095
Answer:
11.10
Step-by-step explanation:
110.95/10=11.095, rounded up is 11.10
−5(0.7x+6)+1.3x=68.19
Answers
Answer:
x ≈ -44.63
Step-by-step explanation:
-3.5x - 30 + 1.3x = 68.19
-2.2x = 98.19
Which expression is equivalent to sum of quantity negative three and one third times n plus one sixth end quantity plus quantity one and three sixths times n minus three twelfths end quantity?
negative twenty nine sixths times n minus one twelfth
negative twenty nine sixths times n plus one twelfth
negative eleven sixths times n minus one twelfth
negative eleven sixths times n plus five twelfths
Answers
The equivalent expression is negative eleven sixths times n minus one twelfth. Option C
What are equivalent expressions?Equivalent expressions are simply defined as expressions that have same solution but differ in the arrangement of their variables, terms, constants and coefficients.
From the information given, we can represent the expression as;
{ - 3 1/ 3n + 1/ 6 } + { 1 3/ 6n - 3/ 12 }
Convert mixed fraction to improper fractions and expand the bracket
{ -10/3n + 1/ 6 } + { 9/6n - 3/ 12}
-10/3n + 1/ 6 + 9/6n - 3/ 12
Now, collect like terms
-10/3n + 9/ 6n + 1/ 6 - 3/ 12
Find the lowest common multiple
-20+ 9n/6 + 2 - 3 /12
-11n/ 6 - 1/ 12
Thus, the equivalent expression is negative eleven sixths times n minus one twelfth. Option C
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Answer:
C
Step-by-step explanation:
i had this and got it right
A pizza lover wants to compare the average delivery times for four local pizza restaurants. Over the course of a few weeks, he orders a number of pizzas from each restaurant, and he records the time it takes for each pizza to be delivered.
a) When performing an ANOVA with this data, what is the alternative hypothesis?
- All of the restaurants have different mean delivery times
- At least two of the restaurants have different mean delivery times
- Two of the restaurants have different mean delivery times
- One of the restaurants has a different mean delivery time than the others
b) A partial ANOVA table for his data is shown below. What is the value of B?
Source DF SS MS F P-value
Treatment B 19.31 D F G
Error C 15.667 E
Total 18 34.977
What is the value of C in the ANOVA table?
d) What is the value of D in the ANOVA table? Give your answer to three decimal places.
e) What is the value of E in the ANOVA table? Give your answer to three decimal places.
f) What is the value of F in the ANOVA table? Give your answer to two decimal places.
g) What is the value of G in the ANOVA table? Give your answer to four decimal places.
h) Using a 0.1 level of significance, what should his conclusion be in this case?
- He should conclude that at least two of the restaurants have different mean delivery times because the P-value is less than 0.1.
- He should fail to reject the claim that at all of the restaurants have the same mean delivery times because the P-value is greater than 0.1.
- He should conclude that at least two of the restaurants have different mean delivery times because the P-value is greater than 0.1.
- He should conclude that at all of the restaurants have the same mean delivery times because the P- value is less than 0.1.
Answers
(a) When performing an ANOVA with the data the alternative hypothesis is at least two of the restaurants have different mean delivery times.
(b)75.8
Analysis of variance. or ANOVA, is a statistical method that separate observed variance data into different components to use for additional tests. A one way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.
The ANOVA table shows how the sum of squares are distributed according to source of variation, and hence the mean sum of squares.
It is given that a pizza lover wants to compare the average delivery times.
Therefore the null hypothesis and alternate hypothesis implies that,
H₀ = all restaurants have equal mean delivery time
Hₐ = at least two restaurants have different two deliveries
Hence the alternate hypothesis for performing an ANOVA with the data is at least two of the restaurants have different mean delivery times.
The alternate hypothesis (Hₐ) defines that there is a statistically important relationship between two variables. Whereas null hypothesis states that is no statistical relationship between the two variables.
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Please help I’ll mark brainlist
Answers
Answer:
m=-24
Step-by-step explanation:
Subtract 12 on both sides
m + 12 - 12 = -12 - 12
m = -24
Which of the following is the equation that represents the graph?
. y equals negative three halves times x minus 3
y equals negative three halves times x minus 2
y equals negative two thirds times x minus 3
y equals negative two thirds times x minus 2
Answers
The equation of the line representing the graph is y = - (3/2)x - 3.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
From the given information the line passes through the points
(- 2, 0) and (0, - 3).
Slope(m) = (- 3 - 0)/(0 + 2).
Slope(m) = - 3/2.
Now, - 3 = - (3/2)(0) + b.
b = - 3.
y = - (3/2)x - 3.
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Write an equation for the n term of the arithmetic sequence -1, 4, 9, 14, . Then find a50
Answers
Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = - 1
To find the common difference subtract the previous term from the next term
We have
d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5
Therefore d = 5
Substitute the values into the general formula
That's
\(A(n) = - 1 + (n - 1)(5) \\ = - 1 + 5n - 5 \\ = 5n - 6 \: \: \: \: \: \: \: \: \: \: \: \)
To find A(50) substitute the value of n that's 50 into the formula above
\(A(50) = 5(50) - 6 \\ \: \: \: \: \: \: \: \: \: = 250 - 6 \\ \: = 244\)
Hope this helps you
Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)dwhere a is the first term
n is the number of terms
d is the common difference
From the question
a = - 1To find the common difference subtract the previous term from the next term
d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5Therefore d = 5
Substitute the values into the general formula
That's
\(A(n)=−1+(n−1)(5) \\ \: \: \: \: \: \: \: \: =−1+5n−5 \\ =5n−6\)
To find A(50) substitute the value of n that's 50 into the formula above
\(A(50)=5(50)−6 \\ \: \: \: \: \: \: \: \: =250−6 \\ \: \: =244\)
Anyone with a very strong knowledge of vectors in mathematics??
Answers
Answer:
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