Write the sum using summation notation, assuming the suggested pattern continues. -8 - 3 + 2 + 7 + ... + 67
summation of the quantity negative eight plus five n from n equals zero to fifteen
summation of negative forty times n from n equals zero to infinity
summation of negative forty times n from n equals zero to fifteen
summation of the quantity negative eight plus five n from n equals zero to infinity
Final answer:
Explanation of summation notation using examples and patterns for different expressions.
Explanation:
Summation notation:
First sum: The sum is calculated using the formula: Σ(-8 + 5n) from n = 0 to 15.
Second sum: The sum can be expressed as Σ(-40n) from n = 0 to ∞ (infinity).
Third sum: The sum is Σ(-40n) from n = 0 to 15.
Fourth sum: The sum is given by Σ(-8 + 5n) from n = 0 to ∞.
A loaf of bread costs $1.79. how much would five loaf costs?
Answer:
8.95
Step-by-step explanation:
Because 1.79x5=8.95 You can look it up too
:)
Please answer the question please
Ten less the quotient of a number and 3 is 6
The ratio of men to women working for a company is 4 to 3 . if there are 39 women working for the company, what is the total number of employees?
Factor completely 3y^4 - 2y^2 - 5
Devonte used the change of base formula to approximate log8 (21). Which expression did Devonte use?
Answer:
[tex]log_8(21)=\frac{log21}{log8}[/tex]
Step-by-step explanation:
Given : Log expression [tex]log_8(21)[/tex]
To find : Write the expression using the change of base formula.
Solution :
Logarithmic change of base rule formula is
[tex]log_ab=\frac{log_eb}{log_ea}[/tex]
Now, using logarithmic rule in [tex]log_8(21)[/tex]
where a=8 and b=21
[tex]log_8(21)=\frac{log_{10}21}{log_{10}8}[/tex]
[tex]log_8(21)=\frac{log21}{log8}[/tex]
Therefore, The expression Devonte use [tex]log_8(21)=\frac{log21}{log8}[/tex]
Of all numbers x and y whose sum is 50, the two that have the maximum product are xequals=25 and yequals=25. that is, if xplus+yequals=50, then xequals=25 and yequals=25 maximize qequals=xy. can there be a minimum product? why or why not?
x + y = 50
Q = x * y
Combining the two:
Q = x * (50 - x)
Q = 50x - x^2
Q = -x^2 + 50x
Q = -(x^2 - 50x)
Q = -(x^2 - 2 * 25x + 25^2 - 25^2)
Q = 25^2 - (x - 25)^2
Q = 625 - (x - 25)^2
So what we got is an equation for parabola with a vertex at
(25 , 625) and it opens downward. We know that parabolas only have one critical
value, so if x and y are unrestricted, then there's no minimum product.
No, there cannot be a minimum product. The product of two numbers is maximized when the numbers are equal or close to each other.
Explanation:The student is asking if there can be a minimum product when x and y are numbers whose sum is 50 and we are trying to maximize the product xy. The answer is no, there cannot be a minimum product. This is because the product of two numbers is maximized when the numbers are equal or close to each other. In this case, when x = 25 and y = 25, the product xy is maximized at 625. If x and y were further apart, the product would be smaller.
Thus,
Q = x * (50 - x)
Q = 50x - x^2
Q = -x^2 + 50x
Q = -(x^2 - 50x)
Q = -(x^2 - 2 * 25x + 25^2 - 25^2)
Q = 25^2 - (x - 25)^2
Q = 625 - (x - 25)^2
-4(z-12)=42 how can I solve?
What!!!?!?! Could someone help me with the first two I don't understand and it's due tomorrow
Find all the points on the curve y = 4x^4 − 8x^2 + 16x + 7 such that the tangent line to the curve is parallel to the line 16x − y + 5 = 0.
Mr. Delong's drama class is planning a field trip to see a Mozart's famous opera Don Giovanni. Tickets cost $39 each, and there are 23 students and 2 teachers going on the field trip. Write and evaluate an expression to find the groups total ticket cost.
The total ticket cost for Mr. Delong's drama class to attend Mozart's opera Don Giovanni, with 23 students and 2 teachers at $39 per ticket, is $975.
To calculate the total ticket cost for Mr. Delong's drama class field trip to see Mozart's opera Don Giovanni, we need to combine the number of students and teachers going to find out how many tickets in total need to be purchased. There are 23 students and 2 teachers, so that's a total of 25 people needing tickets. The cost per ticket is $39.
The expression to find the total ticket cost is (Number of Students + Number of Teachers) x Cost per Ticket, which translates to (23 + 2) x $39.
Doing the math: (25) x $39 = $975.
Therefore, the group's total ticket cost for attending the opera will be $975.
What is the radius of Circle C?
The radius of a circle in Euclidean geometry is the distance from its center to any point on the circumference, and it can be calculated by dividing the circumference by 2π. In physics, the radius is also the radius of curvature for an object's circular path, determined by position data and the Pythagorean theorem.
Explanation:In mathematics, especially in Euclidean geometry, the radius of a circle is a fundamental concept that refers to the distance from the center of the circle to any point on its circumference.
Referring to the examples provided, one method to find the radius (r) is by understanding the relationship between the circumference of a circle (C) and its radius. In a flat, Euclidean space, the ratio C/r is a constant 2π, where π (pi) is approximately 3.14159. Therefore, if you know the circumference, you can calculate the radius by rearranging the formula to r = C/(2π).
In one of our more practical examples, the radius of curvature is used in the context of circular motion. When dealing with the path of an object in a circular trajectory, the radius of the circle also represents the radius of curvature. For instance, using position data where x = 3 m and y = 4 m, we can use the Pythagorean theorem to find the radius, r = √(3² + 4²) = 5 m.
Understanding these principles is crucial in fields such as physics, where the radius is directly related to calculating velocities and accelerations in circular motions as seen with centripetal acceleration.
PLEASE HELP Which is the equation of a line that is parallel to the line represented by y=3/4x-1/2?
Ivan needs to memorize words on a vocabulary list for french class. he has memorized 30 of the words, which is two-thirds of the list. how many words are on the list
|X+4|=4
|X+4|=-4
Plz help
|X+4|=4
x = 4-4 = 0
|X+4|=-4 no solution since the lines are absolute value which would be a positive number
|4v-16|=12 solve for v
Which distribution exhibits a negative skew?
Answer:
In PLATO the answer is B
Step-by-step explanation:
Notice that all of the values start high at 0 and gradually get lower until 8
Answer: took the test
Step-by-step explanation:
Help me with #16, and explain. Please
2a-9 +a = 90 degrees
3a -9 = 90
3a = 99
a = 33
angle GEF is 33 degrees
Les bought 6 pairs of shorts for s dollars each and a blazer that cost three times as much as a pair of shorts.He Spent a total of $139.50.How much did the blazer cost?
a pizza with a diameter of 24 inches is cut into 16 equal slices. to the nearest square inch, what is the area of each slice of the pizza?
Answer:
Area of each slice of pizza is 28.27 square inches.
Step-by-step explanation:
The formula calculating the area of circle is
A = π[tex]r^{2}[/tex] where r is radius ( half of the diameter )
A = [tex](12)^{2}[/tex]
A = 452.38934 [tex]inches^{2}[/tex]
pizza cut into 16 equal slices
Therefore 452.38934 ÷ 16 = 28.27433 [tex]inches^{2}[/tex]
So the total area of the pizza is 452.39 square inches and the area of each slices are 28.27 square inches approximately.
Answer:
About 28 in ^2
Step-by-step explanation:
the sum of 3 consecutive odd integers is 189. What are the three odd integers?
89/3 = 63
63-2 = 61
63 +2 = 65
61 +63 +65 = 189
If f(x)= 3x - 1 and g(x) = x+2, find (f +g)(x)
A. 3x-3
B. 4x+1
C. 2x-1
D. 2x-3
Help Please
If f(x)= 3x - 1 and g(x) = x+2, (f +g)(x) is 4x+1.
(3x-1)+(x+2)
=3x+x-1+2
=4x+1.
What are the operations of functions?A function operation guidelines that are accompanied as a way to remedy functions. Learn the definition of a feature operation such as the guidelines for addition, subtraction, multiplication, and division.
What are the different types of functions?One – one function (Injective function)Many – one function.Onto – function (Surjective Function)Into – function.Polynomial function.Linear Function.Identical Function.Quadratic Function.Learn more about functions here: https://brainly.com/question/6561461
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What is the expression x - 4 represents a negative integer. What integers could X represent?
Answer:
Integers between (-∞, 4)
Step-by-step explanation:
Negative Integer is integers whose value is less than 0 i.e. -1, -2, -3, -4,.... so on.
The expression x - 4 will be negative if x is less than 4.
For Example, if we take integers greater than 4 or equal to 4 as the value of x then,
5 - 4 = +1 which is not a negative integer
4 - 4 = 0 which is again not a negative integer.
But, if we take x as less than 4 then we get,
2 - 4 = -2 i.e. negative integer
-3 - 4 = -7 i.e. also negative integer.
So, for all value of x which is less than 4, we will get a negative integer.
I need solve each system by substitution 4x+2y=7;y=5x
To solve the system of equations by substitution, substitute the value of y from the second equation into the first equation. The solution is x = 1/2 and y = 5/2 or 2.5.
Explanation:To solve the system of equations by substitution, we substitute the value of y from the second equation into the first equation.
Given that y = 5x, we can substitute this value into the first equation:
4x + 2(5x) = 7
Simplifying the equation:
4x + 10x = 7
Combine like terms:
14x = 7
Divide both sides by 14:
x = 7/14
Simplify:
x = 1/2
Now substitute this value of x back into the second equation to find y:
y = 5(1/2)
Simplify:
y = 5/2 or y = 2.5
Learn more about Solving systems of equations by substitution here:https://brainly.com/question/7298439
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An investment club used funds totaling $200,000 to invest in a bio-tech company and in an ethanol plant, with hopes of earning 11% and 16% annual simple interest, respectively. Their hunch paid off. The club made a total of $26,000 interest the first year. How much was invested at each rate? $ at 11% = $ at 16% =
what's the pattern for 1,3,5,7,5,3,1,3
The pattern 1,3,5,7... represents odd numbers, as each number cannot be evenly divided by 2.
The correct option is (A).
The pattern 1,3,5,7... represents odd numbers. These numbers are considered odd because they cannot be evenly divided by 2. Every number in the sequence is one greater than an even number, which means adding 1 to an even number gives you an odd number. For instance, the number 1 is odd because 0 (an even number) plus 1 equals 1. Similarly, 2 (which is even) plus 1 equals 3, and so on. This pattern of numbers is used to represent all numbers that, when divided by 2, have a remainder of 1.
complete question given below:
The pattern 1,3,5,7... represents numbers.
A.odd
B.even
C.whole
Solve the equation with rational exponents (x-4)^2/3= 9
The solution to the given expression is x = 31.
In order to simplify an expression with exponents of the same base, we would have to apply the properties of multiplication of exponents with the same base;
[tex](k^m)\cdot(k^{n})=k^{m+n}[/tex]
Based on the properties of roots of exponents, we have the following:
[tex]\sqrt[a]{x^b} =x^{\frac{b}{a} }[/tex]
By raising both sides of the given expression to the reciprocal of the exponent, we have:
[tex](x-4)^{\frac{2}{3} }=9\\\\((x-4)^{\frac{2}{3} })^{\frac{3}{2} }=9^{\frac{3}{2} }\\\\x-4=(9^{\frac{1}{2} })^{3 }\\\\x-4=(3)^{3 }\\\\[/tex]
x - 4 = 27
x = 27 + 4
x = 31
All of the following are equivalent except 4 x y , 4 + y , 4y, (4)(y)
The function y=3.5x+2.8 represents the cost y (in dollars) of a taxi ride of x miles
Answer: Domain= 0[tex]\leq[/tex]x[tex]\leq[/tex]20
Range= 2.8[tex]\leq[/tex]y[tex]\leq[/tex]72.8
Step-by-step explanation:
CREDIT:ANSWER ABOVE ME,HOPE THIS HELPS. Burrgh