Find the 60th term of the following sequence.
8, 16, 24. ...
Answer:
Step-by-step explanation:
Remark
You want the 60th term of the arithmetic (?) sequence given.
Formula
L = a + (n - 1)*d
Givens
L = ?
a = 8
d = 8
n = 60
Solution
L = 8 + (60 - 1)*8
L = 8 + 60*8 - 8
L = 480
Answer
The 60th term is 480
Answer:
Step by step explanation :
As we know
[tex]\:\bf\boxed{an\:=\:a\:+\:(n\:-\:1)\:d}[/tex]
where,
an = the nth term in the sequence
n = the term
d = common difference
a = first term of the AP.
Here,
an = a60
n = 60
d = 16 - 8 = 8
a = 8
Now,
[tex]\:\mathsf{a60\:=\:8\:+\:(60\:-\:1)(8)}[/tex]
=> [tex]\:\mathsf{a60\:=\:8\:+\:(59)(8)}[/tex]
=> [tex]\:\mathsf{a60\:=\:8\:+\:472}[/tex]
=> [tex]\:\bf{a60\:=\:480}[/tex]
Therefore the 60th term of the AP is 480.
6. Two sides of a right triangle are 8 and 12. Find the hypotenuse
Answer:
4√13 inches.
How To Solve
a2 + b2 = c2
82 + 122 = c2
64 + 144 = c2
208 = c2
√208 = √c2
√16√13 = c
4√13 inches = c
Identify the maximum or minimum value, domain, and range of the graph of the quadratic function.
Answer:
See below ~
Step-by-step explanation:
Details of Graph
Minimum = 3Domain = all real numbersRange : y ≥ 3Y=4x+1 function rule table
Answer:
the table of the function is below
Step-by-step explanation:
The ratio of the surface areas of two spheres is 1:9.
a) What is the ratio of the lengths of their radil? What is the ratio of their volumes?
b) If the volume of the smaller sphere is 64 cubic inches, what is the volume of the larger sphere?
in3
Answer:
b
Step-by-step explanation:
A circular swimming pool has a radius of 8
feet. Which measurement is closest to the area
of the swimming pool in square feet?
Answer: 706.5
Step-by-step explanation:
no promisees that its right
9 boxes of cookies cost $38.07. How many boxes did Gina buy if she spent $16.927
please help me asap
After being involved in a car accident last month, Thomas' insurance company has increased his annual premium by
$398.37. Approximately what change will Thomas see on his future monthly statements as a result of the change?
Show work.
The approximate change that Thomas will see on his future monthly statements as a result of the change is; $33.1975
How to Calculate Monthly Insurance?We are told that Thomas' insurance company has increased his annual premium by $398.37.
Now, the premium above is the change in his annual premium. Thus, to find the change in his monthly premium, we just divide by 12 months to get;
Change in Monthly statements = $398.37/12
Change in Monthly statements = $33.1975
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In which function is x = 2 mapped to 32?
O 5x)=-3x4-4
O g(x) = 4(X+3)2-68
• A(x) = 3x
O Jx) = 2x-62
Option B
Verification:-
Find g(2)
4(x+3)²-684(2+3)²-684(5)²-684(25)-68100-6832Verified
What is the solution to the given inequality? 1/2-1/4x>-1/4
Answer:
x ≤ 3
Step-by-step explanation:
[tex]\dfrac{1}{2}-\dfrac{1}{4}x \geq -\dfrac{1}{4}[/tex]
Subtract 1/2 from both sides:
[tex]\implies \dfrac{1}{2}-\dfrac{1}{4}x-\dfrac{1}{2} \geq -\dfrac{1}{4}-\dfrac{1}{2}[/tex]
[tex]\implies -\dfrac{1}{4}x \geq -\dfrac{3}{4}[/tex]
Multiply both sides by 4:
[tex]\implies -\dfrac{1}{4}x \cdot 4 \geq -\dfrac{3}{4} \cdot 4[/tex]
[tex]\implies -x \geq -3[/tex]
Divide both sides by -1 (remembering to flip the sign):
[tex]\implies \dfrac{-x}{-1} \geq \dfrac{-3}{-1}[/tex]
[tex]\implies x \leq 3[/tex]
A group of people were asked if they had run a red light in the last year. 469 responded "yes", and 484 responded "no".
Find the probability that if a person is chosen at random, they have run a red light in the last year.
A total of 750 tickets were sold for the school play. They were either adult tickets or student tickets. There were 50 more student tickets sold than adult tickets.
How many adult tickets were sold?
1 adult tickets
х
5
?
Answer:
350 adult tickets were sold.
Step-by-step explanation:
Let's set up some values:
x = adult tickets
x + 50 = student tickets, since there were 50 more student tickets than adult tickets.
Now, let's set up our equation. If these two values add up to 750 tickets, then we can conclude the following:
(x) + (x + 50) = 750
2x + 50 = 750
2x = 700
x = 350 adult tickets. This means there were 400 student tickets sold.
The number of months a group of middle-aged men have been on a certain heart medication is normal
distributed with a mean of 8 months and a standard deviation of 2 months. Approximately what percentage
of the men have been taking the medication for between 6 to 8 months?
50%
16%
34%
68%
Answer:
34 %
Step-by-step explanation:
One standard deviation below ( 2 months) to the mean
covers approx 34.1 %
a.
16. Which expression is equivalent to
4(b + 11)
a. 4b +44
b. 4b - 44
4b + 11
d. b + 44
C.
Answer: It would be 4b+44
Step-by-step explanation:
This is the distributive property! so a(b+c)=ab+ac
In this case–4b+44!
Answer:
A. 4b + 44
Step-by-step explanation:
To simplify the expression, we can distribute the 4 to each term in the parenthesis, which means to multiply 4 be each term.
4(b) + 4(11) = 4b + 44
Therefore, the correct option is A.
hope this helps!
HELPPPPPPPPPPPPPPPPP
find x. not sure what it is
Answer:
x=29°
Step-by-step explanation:
angle measure of circular arc=180-122=58°
x=1/2×58=29°
A rectangular prism and its net are shown below.
(All lengths are in feet.)
The volume of the rectangular prism is 180 ft³, From the net of the prism, A = 10 feet, B = 4 feet, C = 6 feet and D = 3 feet.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The volume of the rectangular prism = length * width * height = 10 * 6 * 3 = 180 ft³
From the net of the prism, A = 10 feet, B = 4 feet, C = 6 feet and D = 3 feet.
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A square with a length of 4 inches is cut in half diagonally. What is the area of each triangle formed by this cut?
Decide if each data set might produce one or more gaps when represented by a histogram. For each data set that you think might produce gaps, briefly describe or give an example of how the values in the data set might do so.
a. The ages of students in a sixth-grade class.
b. The ages of people in an elementary school.
c. The ages of people eating in a family restaurant.
d. The ages of people who watch football.
e. The ages of runners in a marathon.
There would be a gap in the age of people in an elementary school.
Which option would produce one or more gaps ?
There is a gap in a histogram when there is no data point represented in the data point.
There would be no gap in the ages of students in the sixth grade because their ages would have a range. There would be a gap in the age of people in an elementary school because there would be the ages of the students then the ages of teachers.
The ages of people eating in a family restaurant would have no gap because all ages would be represented. There is no age limit on those that can run a marathon, thus, the age of runners would have no gap.
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List any three odd natural numbers and verify that each can be written in the form 2m - 1, where m is any natural number.
Answer:
Step-by-step explanation:
13 = 2*6 + 1 (m = 6)
27 = 2(13) + 1
121 = 2(60) + 1
NO LINKS!! Please help me with this problem 6a
[tex]f(x)=a|x-h|+k[/tex] looks similar to that of vertex form where a is the stretch factor, h is the horizontal translation, and k is the vertical translation.
[tex]f(x)=7|x+4|-6[/tex] would mean that the minimum point is located at [tex]x=-4[/tex] and [tex]y=-6[/tex].
Moving f(x) 2 units to the right will only affect the h value and the only way to do this is by subtracting 2 from 4. Remember that the more negative the number, the more positive or to the right the x value for the minimum/maximum is, and vice versa.
The final equation will be [tex]f(x)=7|x+2|-6[/tex] where:
a = 7
h = 2
k = 6
Answer:
7(x + 2) - 6
Step-by-step explanation:
a(x - h) + k
the h shift it right or left where a negative number is right and the positive is left
- we want it to move right 2 so -4 + 2 = -2 where negative number means a positive h so its +2
k shifts it up or down
What is the range -4 9 1 -9 0 0 5 3 2
The range is 18
What is the range of the given numbers?
The Range (Statistics) The Range is the difference between the lowest and highest values. Example: In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. So the range is 9 − 3 = 6. It is that simple!
9 - -9 = 18Therefore, The range is 18
What have the Mars rovers discovered about Mars?
A. The crust of Mars contains 2 chemical elements never discovered before.
B. It had similar volcano activity and crust composition to Earth.
C. It has polar ice caps that could become an ocean if Mars were to warm up in the future.
D. The atmosphere of Mars is twice as thick as scientists predicted it would be.
Answer:D. The atmosphere of Mars is twice as thick as scientists predicted it would be.
Step-by-step explanation:
Which best describes the relationship between the lines with equations -9x+9y=1 and 7x+2y=4
Using the slope of each of the lines, the best statement that describes the their relationship is that they are: neither perpendicular nor parallel.
What is the Slope of Parallel and Perpendicular Lines?The slope of parallel lines are the same, while that of perpendicular lines are negative reciprocals.
Given the two lines with the following equations:
-9x+9y=1
7x+2y=4
Rewrite both in slope-intercept form as y = mx + b to determine the slope of each line:
-9x + 9y = 1
9y = 9x + 1
y = 9x/9 + 1/9
y = x + 1/9 (slope = 1)
7x + 2y = 4
2y = -7x + 4
y = -7x/2 + 4/2
y = -7/2x + 2 (slope = -7/2).
The slope of both lines are different, so they are not parallel. So also, their slopes are not negative reciprocals.
Therefore, they are neither perpendicular nor parallel.
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what is the equivalent to five and two tenths
Answer:
5 2/10 or 520%
Step-by-step explanation:
Paul has a standard deck of cards. What is the probability that he will choose a 2?
Answer:
Step-by-step explanation:
The deck is divided into 4 different kinds of cards
clubsdiamondsHeartsSpadesEach kind of card has a 2
So there are 4 twos in a standard deck of cards.
Answer:
P(2) = 4/52P(2) = 1/13P(2) = 0.07692Please help with work shown will give accommodations!!!
Answer:
(E) < BDE = 2x + y.
Step-by-step explanation:
As triangle ABC is isosceles the 2 base angles are equal.
Therefore m < BAC = x.
Consider triangle ABD:
m < BDE = m < BAC + m < ABD ( external angle of a triangle theorem)
So < BDE = x + x + y = 2x + y.
A salesman earns $4 commission on all the merchandise that he sells. Last month he sold $9000
worth of merchandise. How much commission (in dollars) did he earn last month?
Answer:
2250
Step-by-step explanation:
In this problem, you do 9000/4 because he earns $4 commissions, and that will give you 2250.
Someone please help me?
Answer:
43
Step-by-step explanation:
80-37 = 43
The average cost of 2 storybooks was 2.45. One of the books cost 2.80. Find the cost of the other book
Answer:
The answer is simply 26,25/3 which gives that each book costed 8,75 dollars assuming of course that all books have the same price.
