(SHOW THE SOLUTION)
Step-by-step explanation:
so, you did not pay attention to even the simplest of facts in the class ?
the radius is always half of the diameter, or (in other words), the diameter is always twice the radius.
that is really all there is to this.
please tell me you need actual help to divide something by 2 ?
you need me to be your calculator ? posting the questing and then typing the results in from here is more effort than just to use your own calculator.
1. 12.6/2 = 6.3 cm
2. 31.08/2 = 15.54 ft
3. (10 7/11)/2 = (110/11 + 7/11)/2 = 117/11 / 2 =
= 117/22 = 5 7/22 cm
(you noticed something ?)
4. sqrt(54)/2 = sqrt (54/4) = sqrt(27/2) = sqrt(13.5) =
= 3.674234614... m
5. 10.125/2 = (10 1/8)/2 = 5 1/16 = 5.0625 in
(see again under 3.)
Given the infinite series: [tex]\frac{1}{(1)(3)} +\frac{1}{(3)(5)}+\frac{1}{(5)(7)}+...[/tex]
a. Rewrite the series in sigma notation
b. Write an explicit formula for the nth partial sum
a) The infinite series in sigma notation is described by this expression:
[tex]y = \sum \limits_{i=1}^{\infty} \frac{1}{i\cdot (i+2)}[/tex] (1)
b) The explicit formula for the n-th partial sum is represented by the following expression:
[tex]y = \frac{1}{i\cdot (i+2)}[/tex], i ∈ [tex]\mathbb{N}[/tex] (2)
How to derive an expression for a monotonous series
An infinite series is monotonous when it is bounded, that is, when the limit of the infinite series exists. In this case, we have an evidence of monotony in the denominators of the terms of the given series. In two consecutive terms, the latter always have a denominator greater than the former.
a) The series in sigma notation is now described below:
[tex]y = \sum \limits_{i=1}^{\infty} \frac{1}{i\cdot (i+2)}[/tex]
b) The explicit formula for the n-th partial sum is defined by the expression within the sum, which is now presented below:
[tex]y = \frac{1}{i\cdot (i+2)}[/tex], i ∈ [tex]\mathbb{N}[/tex]
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The value of a in the equation, a-6=9 is
PLS HELP ME!!!
Answer:
15
Step-by-step explanation:
15-6=9 so a-6=9
Answer:
17
Step-by-step explanation:
17-6=9 (to double check your work and make sure it's right you do the opposite [9+6=17] )
What are the period, phase shift, and vertical shift of y = csc[3(x 4)] 6?
The period of the given function is 2π/3, the phase shift is 4, and the vertical shift is 6 units.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a trigonometric function:
y = csc[3(x+ 4)]+ 6
Every each revolution of 2π the function repeats the same value for every x.
The period of the original function is 2π
For the given function plug 2π
y = csc[3(x+ 4)+2π]+ 6
y = csc[3(x+ 2π/3+4)]+ 6
The period of the function will be 2π/3
From the function, the phase shift = 4
And vertical shift = 6
Thus, the period of the given function is 2π/3, the phase shift is 4, and the vertical shift is 6 units.
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Option 3
Step-by-step explanation:
Find the equation of the line shown
What number is 90% of
140?
Answer:
126
Step-by-step explanation:
A grocery store recently sold 48 cans of soup, 12 of which were minestrone soup. Based on experimental probability, how many of the next 24 cans sold should you expect to be minestrone soup?
Answer:
75% because the ratio is 1:4 so the probability of the next being minestrone is high.
Answer:
6
Step-by-step explanation:
A map's scale is 1 inch equals 50 miles. if new york city is 4 inches away from chelsea, ma, about how many miles is it from chelsea to new york city?
Answer:
200 miles
Step-by-step explanation:
Each inch represents 50 miles, so 4 times 1 inch will represent 4 times 50 miles.
4(1 in) ⇔ 4(50 mi)
4 in ⇔ 200 mi
It is about 200 miles from Chelsea to New York City according to the map.
Convert the rectangular coordinates (–6, 6) to polar coordinates.
Answer:
6 sqrt 2 , 3pi / 4
Step-by-step explanation:
Find magnitude sqrt ( (-6)^2 + 6^2 ) = sqrt (72) = 6 sqrt 2
Then the since the x and y are = magnitude and quadrant II
it is 3 pi/4
6 sqrt (2) , 3pi/ 4
Michael glues pipe cleaners around the edges of a rectangular poster. he uses a total of 14 pipe cleaners with 5 pipe cleaners each on the longer sides of the poster. how many pipe cleaners does he use for each of the shorter sides of the poster?
The total pipe used for each of the shorter sides of the poster is 2 if Michael uses a total of 14 pipe cleaners, with 5 pipe cleaners each on the longer sides of the poster.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have:
Michael glues pipe cleaners around the edges of a rectangular poster. He uses a total of 14 pipe cleaners, with 5 pipe cleaners each on the longer sides of the poster.
Total pipe Michael uses = 14
He used a total of 5 pipe cleaners on each long side.
Total pipe cleaner on two long sides = 5×2 = 10
The pipe used on shorter side = 14 - 10 = 4
Total pipe for each of the shorter sides of the poster = 4/2 = 2 pipes
Thus, the total pipe for each of the shorter sides of the poster is 2 if Michael uses a total of 14 pipe cleaners, with 5 pipe cleaners each on the longer sides of the poster.
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A spinner with a yellow, blue, red, and green section is shown. The arrow is pointing at the yellow section. The fair spinner shown is spun 2 times. The set of possible outcomes are: S = {RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY} The number of yellows in the outcome is summarized in the table on the right. A 2-column table has 3 rows. The first column is labeled Yellow with entries 0, 1, 2. The second column is labeled Frequency with entries 9, 6, 1. Using the data from the theoretical probability table, what is the probability of the spinner landing only once on yellow in two spins? 0.0625 0.5625 0.375 1
The probability of the spinner landing only once on yellow in two spins is P = 0.375
How to get the probability?All the possible outcomes have the same probability, so, the probability that in two spins the spinner land only once in yellow is given by the quotient between the number of outcomes that have only one yellow and the total number of outcomes.
All the outcomes are:
{RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY}
16 in total.
The ones where the spinner lands only once on yellow are:
{RY, BY, YB, YG, GY, YR}
6 outcomes.
So the probability is:
P = 6/16 = 0.375
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Answer:C
Step-by-step explanation:
mrs.bell has a 256 ounce bag of potting soil. what is the greatest number of 6 ounce pots she can completly fill with soil
Answer:
42 with 4 extra ounces
Step-by-step explanation:
since we know we can't do 256/6
256, when downed, is 252
252/6 = 42
the most she can make is 42 with 4 more ounces leftover
help me please i would pay you but i cant
Answer:
-3k + 10
Step-by-step explanation:
you have to combine -8 and 2 because they are like terms, but since -8 is being subtracted from -3k the minus sign and the negative sign basically combine to make a positive sign so it would make it -3k + 8 + 2 which gives you -3k + 10
Answer: Heyaa! ~
Your Answer is... − 3k+10
Step-by-step explanation:
Just Combine the terms! ^Hopefully this helps you! ~
In a random sample survey of 80 students at Ned's middle school, 32 students said that math was their favorite subject. There are a total of 900 students at this middle school. Based on this survey, how many students would you expect to say that math is their favorite subject?
Answer:
360
Step-by-step explanation:
from the survey:
32/80 - 0.4 love math
0.4*900
= 360
If mary paid $20.44 for 7.3 pounds of strawberries, what was the price of 1
pound of strawberries? do not include $ in
Answer:
2.80
Step-by-step explanation:
20.44 / 7.3 = 2.8
Brainliest please
Please help me ASAP!!!!!
Step-by-step explanation:
when you are on that level of math that you get this type of question - this is totally easy.
we get the extreme point(s) of a function by finding the zeros of the first derivative of the function.
f'(x) = 4x - 8
so,
0 = 4x - 8
8 = 4x
x = 2
to determine whether it is a minimum or a maximum, we have 2 choices :
the quick way for a quadratic (parabola) equation by looking at the factor of x² : is it >0, then the parabola opens up upwards, and the extreme point is therefore a minimum. if it is <0, then it opens downward, and the extreme point is a maximum.
in our case : 2 is larger than 0, therefore minimum.
or the formal way for any type of function : create the second derivative and see, if it is >0 (minimum) or <0 (maximum) for the extreme x.
in our case
f''(x) = 4
this is larger than 0 for all x, so the extreme point is a minimum.
7x+8=4x+4 please work this out and give your fraction an a improper fraction and simplest form
Answer:
x= -4/3
Step-by-step explanation:
Steps
7x +8 = 4X + 4
Subtract 8 from both sides
7x+ 8-8= 4x + 4-8
Simplify
7x=4x-4
Subtract 4x from both sides
7x-4x=4x-4-4x
Simplify
3X = -4
Divide both sides by 3
3X/3 = -4/3
Simplify
x= -4/3
Answer:
Step-by-step explanation:
Solution
7x+8=4x+4 Subtract 4x from both sides
7x - 4x + 8 = 4 Combine
3x + 8 = 4 Subtract 8 from both sides
3x + 8 - 8 = 4 - 8 Combine
3x = - 4 Divide by 3
3x/3 = -4/3
Answer: x = -4/3
Solve for x in the equation -2/5 x = 12
Answer:
x= -30
Step-by-step explanation:
Which angles are alternate exterior angles with angle 11?
Answer:
<6 and <16 are alternate exterior angles.
I WILL GIVE BRAINRLY
Answer:
a
Step-by-step explanation:
f(x)-g(x)=2x square-3x+6-(3x square +4x-8)
2x square-3x+6-3x square-4x+8
-x square-7x+14
The peanuts cost $2.70 for 1 pound. How
much does 3.5 pounds of peanuts cost?
Answer: $9.45
Step-by-step explanation:
Set up a proportion of 2.70/1 = x/3.5. To solve, multiply 2.70 by 3.5 and divide by 1. 2.70*3.5 = 9.45/1 = 9.45.
The area of a rectangle is 20. The length is 5, and the width is the √x. What is the value of x? What is the width of the rectangle?
A. The value of x is 4. The width is 16.
B. The value of x is 16. The width is 4 or –4.
C. The value of x is 4. The width is 2.
D. The value of x is 16. The width is 4.
Answer:
D
Step-by-step explanation:
5([tex]\sqrt{x}[/tex]) = 20 Divide by 5
[tex]\sqrt{x}[/tex] = 4 Square both sides
x = 16
Widths can't be negative
Answer: D
Step-by-step explanation:
A = LW
[tex]\sqrt{x}[/tex] * 5 = 20
[tex](\sqrt{x} * 5)^{2} = 20^{2}[/tex] (square both sides)
x * 25 = 400
25x = 400
[tex]\frac{25x}{25} = \frac{400}{25}[/tex] (divide both sides by 25)
x = 16
[tex]\sqrt{16} = 4[/tex]
x = 16, and the width is 4.
Johnathan sold hamburgers and hotdogs at the basketball game. each hamburger cost $4.75, and each hot dog cost $2.50. he sells a total of 50 hamburgers and hotdogs. he collects a total of $170. which system of equations can be used to determine how many hamburgers he sold, x, and how many hot dogs he sold, y?
I'm pretty sure it's water bro
Round this number to the nearest one.
87.2
Answer:
i guess 87
Step-by-step explanation:
87.2
nearest must be 87
if 87.5
nearest is 88
See
The rule is If the number aside(right) to the number where to be rounded is less than 5 then it remains same else increases one
2<5So
it will yield as 87
I REALLY need help I'll give anyone who can help me with any or all of these 50 points and brainliest
what is the circumference of a circle that has a diameter of 12 feet
Answer:
i think it's 37.7
Step-by-step explanation:
help me out pls 5 stars
Which expression is equivalent to (x – 2) – (5x + 2)?
A.
–4x – 4
B.
–4x – 2
C.
6x + 4
D.
6x
You can use the surface area formula for a right cone to find the surface area
of an oblique cone.
A. True
B. False
Answer:
False
Step-by-step explanation:
False. Both surface area cannot be find using the same formula.
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Right cone is a cone where the axis of the cone is perpendicular to the base .
Whereas, oblique cone has the axis of cone not perpendicular to the base.
Base area would be same for both right and oblique cones.
But the lateral surface area will be different.
Hence the surface area will be different.
Hence the surface area formula for a right cone is not same to find the surface area of an oblique cone.
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Express the area A of a circle as a function of its circumference C. (A = πr² and C = 2πr)
AnswerI dont know
Step-by-step explanation:
how do you expect me to k
18) Find the sum of the odd integers between 104 and 60.
Answer:
1,804
Step-by-step explanation:
106 - 60 = 44
44/2 = 22
60 + 22 = 82
82*22 = 1,804