Please help!!!!
Find the sum of the series
15
1
(2 1)
n
n
. Show your work.
Answers
Answer:
225
Step-by-step explanation:
Using the basic components of summation ∑
∑n = [tex]\frac{1}{2}[/tex] n(n + 1) and ∑1 = n
Thus
∑ (2n - 1) ← for n = 1 to 15
= ∑2n - ∑1
= 2∑n - ∑1
= 2 ([tex]\frac{1}{2}[/tex] n(n + 1)) - n
= n(n + 1) - n ← Evaluate for n = 15 ( the upper value )
= 15 × 16 - 15
= 240 - 15
= 225
Answer:
255
Step-by-step explanation:
Related Questions
Make a conjecture about the similar solids. How is the
scale factor and the ratio of the surface areas related?
Check all that apply.
The dimensions of the larger cylinder are 3 times
the dimensions of the smaller cylinder.
The surface area of the larger cylinder is 32, or 9,
times the surface area of the smaller cylinder
If proportional dimensional changes are made to a
solid figure, then the surface area will change by
the square of the scale factor of similar solids.
Answers
Answer:
all three!
Step-by-step explanation:
just answered on edge :)
Answer:
all three options!
Step-by-step explanation:
asap URGENT work out x
Answers
Answer:
360/180
Step-by-step explanation:
7) Ann uses the equation y = 8.25x to calculate the total cost y in dollars for x
posters. How much would she spend on 4 posters?
Answers
Kevin and Randy Muise have a jar containing 82 coins, all of which are either quarters or nickels. The total
value of the coins in the jar is $10.50 How many of each type of coin do they have?
The jar contains
quarters
Answers
4) Over the summer gas prices dropped 2%. Which expression shows the new price of
a gallon of gas? (the old price is represented by g)
A. g - 1.02 B. g x 0.02
C. g - 0.02g D.g-0.02
Answers
Answer:
g-0.02g and line your answer options down next time to make them clearer.
Step-by-step explanation:
HELP QUICKLY IN THE NEXT 10 MINS PLEASE WILL GIVE BRAINLIEST
Answers
Answer:
Step-by-step explanation:
If the question asks for volume, then
---> 7 x 5 x 3 = 105
If it asks for surface area
---> 2(wl+hl+hw)=
2(7 x 5 + 7 x 3 + 5 x 3)=
142
If it asks for area of the base then the answer is
7 x 3 = 21
It is recommended that people have 1 gram of calcium each day. How many milligrams of calcium is that?
Answers
Answer:
1,000
Step-by-step explanation:
1,000 miligrams is 1 gram hope this helps god bless
how do you factor 2y^2 +13 +21
Answers
Answer:
2
(
y
2
+
17
)
Step-by-step explanation:
Answer:
2(y^2+17)
Step-by-step explanation:
First, add 13 and 21 together.
You'll end up with 2y^2+34
Then, factor out the two from each term, to get 2(y^2+17).
Since you can factor nothing else out, that will be your answer.
Find the mode and median of the following data set
Red, purple, white, red, white, black, white, white, black, blue, black, red, black, blue, black, black
Answers
The mode of the given data set is black, and the median is blue.
Explanation:In the given data set Red, purple, white, red, white, black, white, white, black, blue, black, red, black, blue, black, black, the mode is the value(s) that occur(s) most frequently. The mode in this data set is black as it appears 6 times, which is more than any other value in the set.
The median is the middle value when the data set is arranged in order. To find the median, we first need to order the data set: black, black, black, black, black, blue, blue, purple, red, red, red, white, white, white, white. As there are 15 values in the set, the middle value is the 8th value, which is blue.
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What is the mean of the data?
5
10
30
50
Answers
The mean of the given data is 23.75.
What is mean?'Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.'
According to the given problem,
The given data is,
5, 10, 30, 50
Sum = 5 + 10 + 30 + 50
= 95
Mean = [tex]\frac{95}{4}[/tex]
= 23.75
Hence, we can conclude, the mean of the given data is 23.75.
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Create a real-world problem involving three lengths that form a right triangle
Give the measurement of the “legs”, then solve for the missing hypotenuse
Answers
Answer:
A ladder is leading on a wall that is 4 feet tall. The distance from the bottom of the ladder to the wall is 3 feet wide. Therefore, using the Pythagorean Theorem, 3^2 + 4^2 = 9 + 16 = 25. The square root of 25 is 5. The triangle's hypotenuse or the ladder's length is 5 feet.
The length of the hypotenuse is 25 feet
What is a right-triangle?
A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle-triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.
According to the given problem,
Let us assume,
A pole of length 15 feet cast a shadow of length 20 feet. What is the distance between the tip of the pole and the tip of the shadow?
Now, given,
Perpendicular = 15 feet
Base = 20 feet.
We know,
Hypotenuse² = Perpendicular² + Base²
⇒ H² = 15² + 20²
⇒ H² = 225 + 400
⇒ H² = 625
⇒ H = 25
Hence, we can conclude, the distance from the tip of the pole to the tip of the shadow is 25 feet.
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Identify the equation of the translated graph in general form x^2+y^2= 8 for T(7,5)
Answers
Answer:
to be honest i dont know how to answer this question do you want me to solve it? if so here is the aswer
x=±√
8−y
2
Step-by-step explanation:
1 Subtract {y}^{2}y
2
from both sides.
{x}^{2}=8-{y}^{2}x
2
=8−y
2
2 Take the square root of both sides.
x=\pm \sqrt{8-{y}^{2}}x=±√
8−y
2
Done
Answer:
the answer is D on edge
Step-by-step explanation:
In a math class there are 8 male students and 7 female students. A
student is randomly selected to go to the front office and leaves. A
second student is randomly selected to go to the office. What is the
approximate probability that both students that left were a male
students?
A.25%
B.26.7%
C.28.4%
D.50%
Answers
Answer: 26.7%
Step-by-step explanation:
The probability that the leftover students were both male is 26.7%. Hence the correct option is B.
The probability that both selected students are male can be calculated as follows:
Determine the probability of selecting a male student for the first pick: P(Male) = 8/(8+7) = 8/15
Since the first student selected was male, the probability of the second student being male as well is: P(Second Male|First Male) = 7/(8+6) = 7/14
Multiply the probabilities together to get the probability of both selected students being male: P(Both Male) = P(Male) * P(Second Male | First Male) = (8/15) * (7/14) = 4/15 or approximately 26.7%
-0.25z = -1.25
Solve for z
Answers
-------------------------------------------------------
-0.25z = -1.25
Multiply both sides by 100:
-0.25z*100=-1.25*100
Refine:
-25z= -125z
Divide both sides by -25:
-25z/-25 = -125/-25
Simplify:
z= 5
Your Answer Is z= 5
plz mark me as brainliest :)
Answer:
z=5
Step-by-step explanation:
The __function is the most basic function in a family of functions.
A. reciprocal
B. parent
C. linear
D. easy
Answers
Answer:
B. Parent
Step-by-step explanation:
A parent function is the simplest capacity of a group of functions that saves the meaning of the whole family.
Feel free to let me know if you need more help! :)
The parent function is the most basic function in a family of functions.
What is a function?A relation is a function if it has only One y-value for each x-value.
The parent function is the most basic function in a family of functions.
It serves as a template or starting point for other functions in the family. Other functions in the family can be obtained by applying various transformations such as scaling, shifting, or reflecting the parent function.
The parent function defines the fundamental characteristics and behavior of the entire family of functions.
Hence, the parent function is the most basic function in a family of functions.
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Over which interval(s) is the function decreasing?
A) (-1, 1) (3, ∞)
B) (-∞, -1) (1, 3)
C) (-∞, -0.25) (1.75, 3)
D) (-0.25, 1.75) (3, ∞)
Answers
The function f(x) = 185(1.2)x models the number of foxes on a reservation x years from now. What does the 185 represent?
Answers
Answer:
It is the number of foxes in time t=0.
Step-by-step explanation:
If you evaluate f in x=0, you obtain that f(0) = 185*1.2⁰ = 185*1 = 185. This means that after 0 years, the number of foxes on the reservation is 185. In other words, the reservation starts with 185 years and then it grows. 185 here represents, as a result, the value of f, in other words the number of foxes, at time t=0.
what will happen to the ratios as you increase the number of sides of the regular polygon?
Answers
Answer: increase
Step-by-step explanation:
Number of sides of the polygon, The number of sides of a regular polygon and the measure of the exterior angle are inversely proportional. As one quantity increases, the other decreases and vice versa.
Find the quotation -10/-5= need help ASAP
Answers
Answer:
2
Step-by-step explanation:
Answer: 2
Step-by-step explanation: Divide -10 and -5. When you do, the answer will be 2. If you see 2 numbers that both have a negative sign, that means in the end, your answer will be positive. That is why -10/-5 is 2.
The perimeter of a rectangular garden is 126 feet. The length of the garden is twice the width. Find the length and width of the garden.
Answers
Answer:
2w+6
Step-by-step explanation:
Answer:
The width is 21 feet and the length is 42 feet.
Pleaseee help
drag each tile to the correct location on the inequality. Each tile can be used more than once.
Consider the graphed function.
What are the domain and the range of this function?
Answers
Answer:
D : -5 ≤ x < 1
R : -4 ≤ y < 7
Step-by-step explanation:
In a graph, domain is always represented by the x-axis while the range is represented by the y-axis.
In this diagram, at x-axis, the dots are connected by -5 and 1. At y-axis, the dots are connected by -4 and 7.
● represents smaller than or equal to
○ represents smaller than
The domain of the given function is -5 ≤ x ≤ 1 and range of the given function is -4 ≤ x ≤ 7.
What is a function ?
A function is a relationship between inputs and outputs where each input has precisely one output and the output can be linked to its input.
A graph is given which shows a function. We need to find out domain and the range of this function based on the graph.
We know that , in a graph , domain is always represented on the x - axis whereas we represent range on the y - axis. Also , the domain of a function is the input provided to the function whereas the output we get is the range of the function.
In the graph shown : the dots on the x-axis are connected by -5 and 1 . This meant x coordinate is (-5,1) and dots on the y-axis are connected by -4 and 7. This meant y - coordinate is (-4 , 7).
So ,
The domain will be -5 ≤ x ≤ 1 .
The range will be -4 ≤ x ≤ 7 .
Therefore , the domain of the given function is -5 ≤ x ≤ 1 and range of the given function is -4 ≤ x ≤ 7.
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The R.R. Bowker Company of New York collects data on annual subscription rates to periodicals. Results are published in Library Journal. In a recent independent study, it was found that 63% of all students at Mill University read Time magazine, 51% read U.S. News and World Report, and 24% read both magazines. If a student at Mill University is randomly selected, what is the probability that the student reads either the Time magazine or the U.S.News and World Report magazine?
Answers
Answer:
90%
Step-by-step explanation:
Let's call the percentage of students that read Time magazine by P(T), and the percentage of students that read U.S News and World Report by P(U). So, we have that:
P(T) = 0.63
P(U) = 0.51
P(T and U) = 0.24
To find the percentage of students that read either the Time magazine or the U.S.News and World Report magazine (that is, P(T or U)), we can use this formula:
P(T or U) = P(T) + P(U) - P(T and U)
So, we have that:
P(T or U) = 0.63 + 0.51 - 0.24 = 0.90
So the probability is 90%
The probability that a randomly selected student at Mill University reads either Time magazine or U.S. News and World Report magazine is 90%.
Explanation:The student is interested in finding the probability that a Mill University student reads either Time magazine or U.S. News and World Report magazine.
To calculate this, we use the formula for the probability of either event A or B occurring (P(A ∪ B) = P(A) + P(B) - P(A ∩ B)), where P(A ∪ B) represents the probability of A or B happening, P(A) is the probability of A happening, P(B) the probability of B happening, and P(A ∩ B) the probability of both A and B happening.
Given that 63% of students read Time (P(Time) = 0.63), 51% read U.S. News (P(U.S. News) = 0.51), and 24% read both (P(Both) = 0.24), we calculate the probability of a student reading either magazine as P(Either) = P(Time) + P(U.S. News) - P(Both) = 0.63 + 0.51 - 0.24 = 0.90, or 90%.
Consider the line y=-=x+6.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Answers
Answer:
[tex]y=-x-6[/tex] is parallel
[tex]y=x+6[/tex] is perpendicular
Step-by-step explanation:
(im answering this assuming that says y = -x + 6)
[tex]y=-x-6[/tex] is parallel because the slope remains the same
[tex]y=x+6[/tex] is perpendicular because it reflects the line
Write and evaluate the expression. Then, complete the statements. Six more than the product of nine and a number Evaluate when q=6
Answers
q = unknown number
9q + 6
[Six more(addition) than the product(multiplication) of nine and a number(q).
So 6 is added to 9q(9 times q).]
Since you know q = 6, substitue/plug it into the equation:
9q + 6 Plug in 6 into "q" since q = 6
9(6) + 6
54 + 6
60
Answer:
6+9q
substitute
simplify
order of operations
60
Step-by-step explanation:
Characteristics of a Circle
Directions: Answer all questions fully and completely. Type your answers in the space
provided.
Points A, B, C and D are four points on the circle with centre O.
answer:
the straight line AC is the of the circle
the straight line OD is the of the circle
the straight line BC is the of the circle.
Answers
Answer:
I know that line AC is the diameter.
I know that line OD is the radius.
However, I am unsure what line BC is supposed to represent.
Sorry, hope this helps :)
Step-by-step explanation:
[70 POINTS] What is the perimeter of the following composite figure?
21 yd
42 yd
47.13 yd
35.13 yd
Answers
Answer:
21
Step-by-step explanation:
The perimeter of the composite figure is T = 47.13 yd
What is the Perimeter of a Rectangle?The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.
Perimeter P of rectangle = 2 ( Length + Width )
Given data ,
Let the perimeter of the composite figure be T
Let the rectangle be represented as ABCD
Now , the semicircle is AC
where the perimeter of rectangle P = 12 + 12 + 9
P = 33 yards
And , the circumference of the semicircle C = πr
C = 3.14 x 4.5 = 14.13 yards
So , T = P + C
T = 33 + 14.13
T = 47.13 yd
Hence , the total perimeter of the figure is T = 47.13 yd
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I WILL MARK BRAINLIEST FOR CORRECT ANSWER! :)
Answers
Answer: 31.2
Step-by-step explanation:
have a great dayy
A spinner has four unequal parts. Tony spun the spinner 16 times. The spinner landed on
red 1 time, blue 2 times, yellow 3 times and green 10 times. Using this data, what is the
most likely outcome on the next spin?
red
blue
green
yellow
Answers
Answer:Green
Step-by-step explanation:
Final answer:
Based on past spins, the most likely outcome for the next spin is green, as it was landed on the most frequently.
Explanation:
If a student spun a spinner 16 times and it landed on red 1 time, blue 2 times, yellow 3 times, and green 10 times, the most likely outcome on the next spin would be green.
This conclusion is based on the relative frequency of the outcome for each color so far. The frequency suggests that the spinner is biased toward the green section since it has been landed on the most in this small sample of spins. Assuming the conditions remain the same and there's no alteration to the spinner, the probability of landing on a particular color is proportional to the number of times it has been landed on in the past.
Therefore, with the information provided and based on past occurrences, green is the most likely outcome for the next spin on this specific spinner.
Coach Fraser will select a captain and a co-captain from the students in her physical education class. If there are 22 students from which to
select, how many different outcomes are possible?
a. 484
b. 462
c. 44
d. 22
Answers
Answer:
The answer is B
Step-by-step explanation:
22 runs into 464 with this many out comes
Answer:462
Step-by-step explanation:
Which number line represents the solutions to 1-2x = 4?
Answers
Answer:
The third dot is my answer. But don't take it for granted. Try it yourself and see what you come out with!
Step-by-step explanation:
Answer:
-1/2x > = 4 ...multiply both sides by -2, change inequality sign
x < = 4 * -2
x < = -8
closed circle (because of the equal sign) on -8, shading to the left (because it is less then)
Step-by-step explanation: