The sum of the given finite series is 100
The summation notation tells us how to sum each term in a series.
Example:
[tex]\sum\limits^5_{n=1} {3n+1}[/tex]
means we need to evaluate the sum of (3n+1) as n moves from 1 to 5. Here 1 is the lower limit, while 5 is the upper limit.
The given series is:
[tex]\sum\limits^4_{n=1} {n^{3}}[/tex]
Expand this series:
[tex]\sum\limits^4_{n=1} {n^{3}}=1^{3}+2^{3}+3^{3}+4^{3}[/tex]
1³ = 1
2³ = 8
3³ = 27
4³ = 64
Hence,
1³ + 2³ + 3³ + 4³ = 1 + 8 + 27 + 64 = 100
Learn more about finite series here:
https://brainly.com/question/24232600
#SPJ4
Write the equation of the line through each point. Use slope-intercept form.
(-2,1) ; perpendicular to 3 x+y=1
The equation of the line in slope-intercept form passing through the point (-2 , 1) and perpendicular to 3x + y = 1 is y = (1/3)x + 5/3.
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The slope-intercept form of the equation of a line is given by the formula:
y = mx + b
where m is the slope of the line
b is the y- intercept
If the line is perpendicular to 3x + y = 1, then their slopes are negative reciprocal of one another. To get the slope, m, of the equation, express it in slope-intercept form.
3x + y = 1
y = -3x + 1
m = -3
m = 1/3
Substitute the values of the slope and the point to solve for the y-intercept, b.
y = mx + b
1 = 1/3(-2) + b
b = 5/3
Write the equation of the line by plugging in the value of the slope and y-intercept.
y = mx + b
y = (1/3)x + 5/3
To learn more about equation of the line in slope-intercept form: brainly.com/question/1884491
#SPJ4
help pls id help u too
Answer:
x = 1
y = -4
but I am not sure about z
Step-by-step explanation:
please check with your calculator first
2-inch candle burns down in 8 hours. At what rate does the candle burn, in inches per hour?
Answer:
1/4 inches/hour
Step-by-step explanation:
We need inches per hour, which means inches divided by hours, so we divide the number of inches by the number of hours.
2 inches / 8 hours = 2/8 inches/hour = 1/4 inches/hour
Find the slope of the line through (3,5) , parallel to y=5 x-1
Find the slope of the line through (3,5) , parallel to y=5 x-1
Slope=5
How to find slope?
Given:
y=5x-1 ( where, slope=5)
Any line parallel to y=5x-1 also has slope 5
What is the line?
y=5x+b
We can find b ,using the given points (3,5)
5=15+b
b=-10
The line is, y=5x-10
What is a slope?
In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.The letter m is frequently used to represent slope; the reason for this usage is unclear, but it can be found in O'Brien's and Todhunter's versions of the equation for a straight line, respectively, where they are written as y = mx + b and y = mx + c.To learn more about slope, refer:
brainly.com/question/16949303
#SPJ4
help me.............................................,.
Answer:
Step-by-step explanation:
a. 0.5+0.3 = 0.8
b. 2.7+28.2 = 30.9
c. 3.1+2.4+9.9 = 15.4
d. 15.2+1.4+0.8 = 17.4
e. 39.2+2.5+0.9 = 42.6
2x² - y
if x = 3 and y = 8
Answer:
10
Step-by-step explanation:
2(9)-8
10
Hey there!
2x^2 - y
= 2(3)^2 - 8
= 2(3^2) - 8
= 2(3 * 3) - 8
= 2(9) - 8
= 18 - 8
= 10
Therefore, your answer should be:
10
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is the key phrase?
As a race is finished the amount of elapsed time for the racer is recorded. what measurement scale is this?
The answer is Numeric.
What is a measuring scale?Items are weighed on a scale to determine their weight. In order to ensure that the components are utilized exactly as specified in the recipe, they are frequently used in cooking.The four common scales of measurement—nominal, ordinal, interval, and ratio—were created by psychologist Stanley Stevens.The type of measurement scale to be used for statistical measurement depends on the type of data being collected. There are various types of measurement scales. The nominal, ordinal, interval, and ratio scales are the four measurement scales that make up this set.What measurement scale is this?
There are mainly two types of variables
Numerical(quantitative): observations that can be measured in numerical form
Agin two types: ratio scale and interval scale
Categorical(qualitative ): named categories
Again two types: Ordinal or nominal
Her in the given an example,
Measured time of race have numerical observations
The measurement scale is Numeric.
To learn more about Numeric, refer to:
brainly.com/question/557206
#SPJ4
PLEASE HELP ME RUNNING OUT OF TIME Determine if the point (3, 1) is a solution to the system of inequalities shown below and use the characteristics of inequality graphs to justify your answer
Answer:
nope
Step-by-step explanation:
aight so basically . you see how the line , that the point is , on is dotted ? that means that nothing on the line is included aka ">" or "<" . and the line that solid , that means if a point is on that line , you can include it . aka "[tex]\leq[/tex]" or "[tex]\geq[/tex]" cause that means or equal to or whatever . so overall if we were only looking at the lil triangle that both of the colors intersect on , ( 3 , 1 ) wouldnt work . sorry if my explaination sucks :)
Compare the two numbers. Use > or < .
-√3,-√5
As the value of Square root -√5 is equal to -2.23, and the value of Square root -√3 is -1.73, which is larger.
A square root is what?The square root of a number x is the number y whose square (the result of multiplying the number by itself, or y y), equals x in mathematics.The term "radicand" refers to the word (or number) whose square root is being considered.The term or number under the radical sign in this instance is known as the radicand, and it is 9.One can discuss square roots of negative values while discussing complex numbers.Any time the idea of an object's "square" is mentioned, square roots can be more extensively considered.These include square matrices and function spaces, among other mathematical structures.The value of Square root -√5 = -2.23, and the value of Square root
-√3 = -1.73, which is larger.
To know more about Square root, refer to the following link:
https://brainly.com/question/3617398
#SPJ4
y = -3x - 10
I have to graph points. The first point is at (0, -10) because of the y-intercept. How should I graph the next point using the slope? The graph they gave me cuts off at 0, -10 so I can't go any lower for y. Help.
The next point to be graphed after graphing the y-intercept since the slope is negative and the graph cuts of at; (0, -10) is; (-5, 5).
What is the next point to be graphed apart from the y-intercept since the graph cuts off at (0, -10)?According to the task content; it follows that the next point to be graphed apart from the given y-intercept is to be determined.
It follows from comparison with the slope-intercept form of a linear equation;
y = mx+c that the slope of the given equation is; -3.
Hence, considering the point, x = -5, the value of y is;
y = -3(-5) -10
y = 15 - 10
y = 5.
Therefore, the required coordinate to be graphed is; (-5, 5).
Ultimately, the next point to be graphed after graphing the y-intercept since the slope is negative and the graph cuts of at; (0, -10) is;
(-5, 5).
Read more on graphing linear equations;
https://brainly.com/question/14323743
#SPJ1
7 x 10-8 in standard form
Answer:
7×10= 70
70-8= 62
Answer62
Solve the System of Equations:
y = [tex]\frac{1}{6}[/tex]x + 6
y = [tex]\frac{1}{3}[/tex]x + 2
Answer:
(x;y)=(24;10)
y = 1/6 * x + 6; y = 1/3 * x + 2
Substitute the given value of y into the equation y = 1/3 * x + 2
1/6 * x + 6 = 1/3 * x + 2
Solve the equation for x
x = 24
Substitute the given value of x into the equation y = 1/3 * x + 2
y = 1/3 * 24 + 2
Solve the equation for y
y = 10
what is the probability of drawing a club from a deck of cards
The probability of drawing a club from a deck of cards is 1/4
How to determine the probability of drawing a club from a deck of cards?In a standard deck of cards, we have the following parameters
Club = 13
Cards = 52
The probability of drawing a club from a deck of cards is calculated as
P = Club/Cards
This gives
P = 13/52
Simplify the fraction
P = 1/4
Hence, the probability of drawing a club from a deck of cards is 1/4
Read more about probability at
https://brainly.com/question/24756209
#SPJ1
What is the vertical change?
What is the horizontal change?
Write the slope as a fraction or decimal.
A line is seen on the graph. The horizontal displacement is 2 units, and the graph's rate of change is 0.5.
Point A's coordinates are: (2,1).
Point B's coordinates are: (4,2).
The coordinates of the point change from (2.1) to (2.1) as you go from point A to point B. (4,2).
Consequently, the change in x-coordinate is what determines the point's horizontal displacement and will be,
4 2 2
Therefore, the horizontal displacement is two units.
The vertical displacement is also one unit.
Now, the graph's rate of change may be calculated by looking at the graph's line's slope.
The rate of change will thus be,
m = y2- y1 / x2 - x1
m =2-1 / 4-2
m = 1/2
Consequently, the rate of change = 0.5
horizontal displacement = 2 units.
To learn more about rate of change from given link
https://brainly.com/question/2923891
#SPJ9
Complete question -What is the vertical change from Point A to Point B?
1
What is the horizontal change from Point A to Point B?
What is the rate of change shown on the graph? Give the answer as a decimal rounded to the nearest tenth, if necessary
ASAP pls..............
Answer: t = 6/11
Step-by-step explanation:
3t - 2 + t = 4 - 7t
4t - 2 = 4 - 7t
4t + 7t = 4 + 2
11t = 4 + 2
11t = 6
Divide both by 11
Answer : t = 6/11
Answer:
t = 6/11
Step-by-step explanation:
Hello!
Solve the equation for t by isolating the variable.
Solve for t3t - 2 + t = 4 - 7t Add like Terms4t - 2 = 4 - 7t Collect Like terms 11t - 2 = 4 Isolate the Variable11t = 6 Isolate the Variablet = 6/11The value for t is 6/11.
Malik bought 0.8 pounds of turkey and 1.45 pounds of ham from deli. if turkey costs $6.45 per pound and ham costs $4.80 per pound, find the total cost.
On solving the equations, the total cost is 25.86.
The cost of ham is $4.80 a pound.
The cost of cheese is $6.3 for a pound.
Cheese weighing pounds was provided for $14.76.
Let "a" represent the cost of a pound of ham, and "b" represent the cost of a pound of cheese.
Given the available information,
1.3a + 0.8b = 11.28 —— (1)
1.50 +1.2b = 14.76 —— (2)
From the equation now (1).
11.28 -0.8b 1.3 (3)
Now, using equations (2) and (3), we obtain the following: 11.28 0.8 b. 1.3)+1.2 b. 14.76. 12.97 0.92 b+1.2 b. 14.76 0.28 b. 1.79 b. 6.3
The result of adding the value of b to equation (3) is 11.28 0.8. (6.3)
1.3 a = 4.8
The cost of ham is $4.80 a pound.
The cost of cheese is $6.3 for a pound.
To learn more about solving equations from given link
https://brainly.com/question/8538306
#SPJ1
Four birds are sitting on a telephone wire. What is the probability that a fifth bird landing at a randomly selected point between birds 1 and 4 will sit at some point between birds 3 and 4?
Probability that a fifth bird landing at a randomly selected point between birds 1 and 4 will sit at some point between birds 3 and 4 is 1/3.
As given,
Total number of birds sitting on a telephone wire=4
Possible sitting arrangement is
Bird1__Bird2 __Bird3___Bird4
Total possible number of space between birds 1 to 4=3
Possible favourable outcomes (between 3 and 4)=1
Probability fifth bird sitting between point 3 and 4
= (Number of favourable outcomes)/ Total number of outcomes
= 1/3
Therefore, probability of a fifth bird sitting at some point between birds 3 and 4 is 1/3.
Learn more about probability here
brainly.com/question/11234923
#SPJ4
Write –0.67 as a fraction.
I need help please
Answer:
[tex]-\frac{67}{100}[/tex]
Step-by-step explanation:
Answer:
67/100
Step-by-step explanation:
0.67/1×100/100=67/100
if wrong i tried T^T
a. Evaluate the expression 2(2x² - x) - 3(x² - x) + x² - x for x=3 . Do not simplify the expression before evaluating it.
The value of the expression 2(2x²-x)-3(x²-x)+x²-x at x=3 is 18.
An algebraic expression is an expression having constant and variable joined with algebraic operation(+,-,×,÷).
According to the question
2(2x²-x) - 3(x²-x) + x²-x
Since we do not have to simplify the expression before evaluating it we will substitute the value of x=3 in the above expression .
=2(2*3² -3)-3(3² -3)+3²-3
=2(2*9-3)-3(9-3)+9-3
=2(18-3)-3(6)+6
Simplifying further we get
=2(15)-18+6
=30-18+6
=36-18
=18
Therefore , the value of the expression 2(2x²-x)-3(x²-x)+x²-x for x=3 is 18.
Learn more about Algebraic Expression here https://brainly.com/question/13863650
#SPJ4
Evaluate each expression for the given value of the variable. 3(2 a+5)+2(3-a) ; a=4
The value of the expression 3(2 a+5)+2(3-a) at a=4 is 37 .
An Algebraic expression is defined as an expression that consists of variables and constants linked with mathematical operators (+,-,x,÷).
According to the question
=3(2 a+5)+2(3-a)
Substituting the value a=4 in the above expression.
We get,
=3(2(4)+5)+2(3-4)
=3(8+5)+2(3-4)
Solving terms in bracket first ,
=3(13)+2(-1)
=39-2
=37
Therefore , The value of the expression 3(2 a+5)+2(3-a) at a=4 is 37 .
Learn more about Algebraic Expression here https://brainly.com/question/13863650
#SPJ4
i need help again yall..............................
Answer:
the answer is c !!!!!!!!!!!!!!!!!!
Express each fraction as a decimal to the nearest hundredth. 17/54
The fraction 17/54 as a decimal to the nearest hundredth is 0.32
Given fraction is 17/54
In decimal form it is 0.3148.
To round it to the nearest hundredth, we have to make round it to two decimal places.
So 17/54 = 0.3148 = 0.32
0.32 is the decimal form of 17/54 to the nearest hundredth.
We can verify this by multiplying and dividing 100 to 0.32,
That is 0.32 = 32/100.
Learn more about decimals and fractions at https://brainly.com/question/1827193
#SPJ4
Silver gym costs $75 to join their gym plus $25 per training session, world fitness costs $100 to join and only $20 per training session. How many sessions will it take for the cost to be the same?
Answer:
5 Sessions
Step-by-step explanation:
$75+$25. $100+20 | Prices
125. 140. | + Cost of Session
150. 160
175. 180
200. 200
225. 220
Reflect ABC over the x axis translate by <-3,-1>, and rotate 180 degrees around the origin
Following a 180-degree rotation, the new points are (3,1)
The size of the image will either rise or decrease depending on the answer to the question. And there are two ways to rotate: clockwise and counterclockwise. The coordinate values will vary depending on the quadrant.
Consequently, the new points upon rotation are (3,1).
What do translation, rotation, and reflection mean?The word "reflection" flips or creates a mirror image of the object. An picture is rotated by rotating it either clockwise or anticlockwise. Finally, translation moves certain parts of the picture.
To learn more about the reflection, rotation and translation from the given link:
https://brainly.com/question/17174293
#SPJ9
A rectangular prism has a base with side lengths x and x+3 and height 2 x . Find the surface area and volume of the prism.
The surface area is 10x²+18x sq. units and volume of the rectangular prism is 2x³ + 6x² cubic units.
As given,
In rectangular prism
Base side lengths x and x+3
Height = 2 x
Volume of a rectangular prism V = l w h
V = volume , l =length, w= width h =height.
For rectangular prism,
V = (x). (x +3). (2x)
= (x² +3x)2x
=2x³ +6x²cubic units
Surface Area of Rectangular Prism:
=2(x*2x)+2(x(x+3))+2(2x(x+3))
=4x²+2x²+6x+4x²+12x
=10x²+18x sq. units
Hence, the surface area is 10x²+18x sq. units and volume of the rectangular prism is 2x³ + 6x² units
Learn more about rectangular prism here
brainly.com/question/21308574
#SPJ4
- How does writing the weight for potatoes in expanded form show why
the same digit can have different values?
What is the relationship between the values of the two 4s in the weight
of the potatoes?
Suppose the given number is 3.441
The first 4 is in the tenth place that is written like or 0.4
The second 4 is in the hundredth place that is written like or 0.04
We can see that the second 4 is one tenth times the first 4.
This is shown like,
1/10 x 1/10 = 1/100
Or we can say the opposite that the first 4 is ten times the second 4.
Place value is the value of each digit in a number. For example, the 5 in 350 represents 5 tens, or 50; however, the 5 in 5,006 represents 5 thousands, or 5,000. It is important that children understand that while a digit can be the same, its value depends on where it is in the number.Place Value is important because it provides the foundation for regrouping, multiple-digit multiplication, and more in the decimal system, as well as a starting point for the understanding of other base systems.Place value helps us make decisions that are used in our daily lives ex) costs, weight, distances, time etc. Our number system is based on a Base Ten system. Base ten means our number system has a base of ten.A place value chart is a table that is used to find the value of each digit in a number based on its position, as per the numeral systemto know more about place value;
visit; brainly.com/question/16552177
#SPJ9
Message instructor about this question
Which of the following are arithmetic sequences? Select all that apply.
115, 105, 95, 85, ...
-12, -8, -4, 0, ..., 152
5, 10, 20, 40, ...
18, 25, 32, 39, ..., 214
1, -7, 49, -343, ..., 5764801
18, -22, 26, -30, ...
The arithmetic sequences are given as follows:
115, 105, 95, 85, ...-12, -8, -4, 0, ..., 15218, 25, 32, 39, ..., 214What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
Hence, the arithmetic sequences are given as follows:
115, 105, 95, 85, ... d = -10.-12, -8, -4, 0, ..., 152. d = 4.18, 25, 32, 39, ..., 214. d = 7.For the other sequences, there are different differences between consecutive terms, hence the sequence is not arithmetic, for example:
10 - 5 = 5, 20 - 10 = 10.
More can be learned about arithmetic sequences at https://brainly.com/question/6561461
#SPJ1
[ Brainliest ]
Apply it! A regular 92-sided figure has ___ lines of symmetry.
Answer:
I think the answer is 92 lines because of the regularity of the figure
24% of the students in a class are left-handed. What's the minimum number of students that could be in the class?
Answer:
Another way to ask this question would be “what is the fraction 24 out of 100 in simplest form?”
The simplest ratio that is equivalent is six out of 25. The denominator represents the total number of students and six of them are left-handed. So the smallest possible class size is 25. Any number smaller than that would result in a numerator that is not a whole number.
Mark me brainly <3
