Answer:
187
Step-by-step explanation:
a=12,d=17-12=5
nth term =a+(n-1)d
36th term=12+(36-1)5
=12+(35×5)
12+175
36th term=187
The value of 36th term is 187.
What is arithmetic progression?An orderly sequence of numbers known as arithmetic progression (AP) has a constant difference between any two consecutive numbers. Additionally known as arithmetic sequence.
abbreviated as AP, a mathematical sequence in which the difference between two consecutive terms is always constant.
Given series
12, 17, 22,.....
since the series is in AP because the difference between any two consecutive numbers is equal,
17 - 12 = 5 and 22 - 17 = 5
for nth term of AP
aₙ = a₁ + (n - 1)d
where a₁ = 12, n = 36, d =5
a₃₆ = 12 + (36 - 1)5
a₃₆ = 12 + 35 × 5
a₃₆ = 12 + 175
a₃₆ = 187
Hence 187 is the 36th term.
Learn more about arithmetic progression;
https://brainly.com/question/16947807
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A bag contains 9 tiles, each with a different number from 1 to 9. You choose a tile without looking, put it aside, choose a second tile without looking, put it aside, then choose a third tile without looking. In how many different ways can you choose three tiles
Using the combination formula, it is found that there are 84 ways to choose the three tiles.
The order in which the tiles are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, three tiles are chosen from a set of nine, hence:
[tex]C_{9,3} = \frac{9!}{3!6!} = 84[/tex]
There are 84 ways to choose the three tiles.
More can be learned about the combination formula at https://brainly.com/question/25821700
What is the slope of a line that is perpendicular to line m ?
Answer:
b) -b/a
Step-by-step explanation:
Slopes of perpendicular lines are negative reciprocals. That means to flip the fraction and change the sign. :-)
If I watched anime for 1 hour a day, every episode being 20 minutes long, and there is 1016 episodes, how meant days would it take to watch the entire anime series?
Answer:
20320 minutes
Step-by-step explanation:
divided the minutes by 24 then get your answer
How do you write 1.27 repeating as a fraction
btw the repeating part is 7
Answer:
1 27/100
Step-by-step explanation:
(05.02)
A line passes through (2, 8) and (4, 12). Which equation best represents the line?
oy-x+6
=
2
y = 2x + 7
y = 2x + 4
oy-*x+10
=
Answer:
⊕ y=2x+4
Step-by-step explanation:
1) all the answers are provided in slope-interception form, then
2) the slope of the required line is: (12-8)/(4-2)=2. The required line is like to y=2x+??;
3) if the points (2;8) and (4;12) belong to the line required, then the point (0;4) also belongs to this one. It means, the interception is 4;
4) finally, the line required is y=2x+4.
PS. note, the suggested solution is not the only way.
Evaluate expression if a = 2.
a² - 5a - 6
Answer:
-12.
Step-by-step explanation:
a^2 - 5a - 6
When a = 2 we have
2^2 - 5(2) - 6
= 4 - 10 - 6
= -12.
Answer:
Step-by-step explanation:
a²- 5a - 6
Substitute a for 2
(2)² - 5(2) - 6
Solve.
4 - 10 - 6 = -12
If a = 2, a²- 5a - 6 equals -12
Identify the equation in slope-intercept form for the line containing the points
(3,5) and (2,-5)
Choices:
y = 3x − 15
y = 5x − 25
y = 10x − 25
y = 5x + 10
Pls help
Answer:
Third Option y=10x-25Step-by-step explanation:
Identify the equation in slope-intercept form for the line containing the points
(3,5) and (2,-5)
Choices:
y = 3x − 15
y = 5x − 25
y = 10x − 25
y = 5x + 10
Pls help
Sooo let’s solve this….
Notice the x-axis
Slope Intercept form changes at a constant rate soooo… from (3,5) to (2,-5)
The axis goes left by 1
On A graph the more to the left the smaller number get.
The Y-axis goes down by 10 from the bigger point
But…..
It’s really not going left 1 and 10 down you always start with the smaller point so from
(2,-5) to (3,5) It goes Right 1 and 10 up
Knowing this
Slope Intercept form
Y=mx+b
Where m=slope
b= y-intercept where the line crosses x=0
Our Slope Is 10
Because from -5 to 5 you have to add 10 to get the other value
y=10x+b
But lets just figure out the y-intercept to be sure.
We want the X-axis to be 0 so we will be going left until we get to 0
So We get this point (2,-5)
Knowing that we go up 10 and right 1 to get to the higher value we will do the opposite.
We will go 1 to the left and 10 down
(2,-5)
(1,-15)
(0,-25) As you can see x=0 so the y-intercept will be -25
y=mx+b
m=slope
b= y-intercept
y=10x-25 The Third Option is the Answer….
SonicIsCoool, at your service if you need any help :)
Help
Arc JK = ______°Arc
M<1 = ______°
Answer:
Step-by-step explanation:
The wholesale price desk is $153 a certain furniture store marks up the wholesale price by 38% find the price of the desk in the furniture store . Found ur answer to the nearest cent
Answer:
Step-by-step explanation:
10% = 15.30
40%=61.20
1% = 1.53
2%=3.06
61.20+3.06=64.26
153+ 64.26=217.26
if log7=a and log…
help me solve ths math problem on picture
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: log_{4}(39.2) [/tex]
[tex]\qquad \sf \dashrightarrow \: log_{4}( {2}^{3} \times {7}^{2} \times 10 {}^{ - 1} ) [/tex]
[tex]\qquad \sf \dashrightarrow \: log_{4}( {2}^{3} ) + log_{4}( {7}^{2} ) + log_{4}(10 {}^{ - 1} ) [/tex]
[tex]\qquad \sf \dashrightarrow \: log_{ {2}^{2} }( {2}^{3} ) + log_{ {2}^{2} }( {7}^{2} ) + log_{ {2}^{2} }(10 {}^{ - 1} ) [/tex]
[tex]\qquad \sf \dashrightarrow \: \frac{3}{2} log_{2}(2) + \frac{2}{2} log_{2}(7) - \frac{1}{2} log_{2}(10) [/tex]
[tex]\qquad \sf \dashrightarrow \: \frac{3}{2} + a - \frac{b}{2} [/tex]
That's the required result ~
also you can take it's LCM and write it as :
[tex]\qquad \sf \dashrightarrow \: \dfrac{2a - b + 3}{2} [/tex]
Describe the relationship between pi and circles.
Answer:
The circumference (C) of a circle is found by the equation C = 2*[tex]\pi[/tex]*radius
There is a second relationship between [tex]\pi[/tex] and circles. That of the area (A) of the circle which is found by the formula A = [tex]\pi*radius^{2}[/tex]
Step-by-step explanation:
How do you calculate the diameter of a circle
Answer: "How do u calculate the diameter of a circle"?
Step-by-step explanation: Calculating diameter is easy you just need the radius, the circumference, or the area. Even if you don't have any of those dimensions, you can still find the diameter if you have a drawing of the circle.
Kaylib’s eye-level height is 48 ft above sea level, and addison’s eye-level height is 85 and one-third ft above sea level. how much farther can addison see to the horizon? use the formula d = startroot startfraction 3 h over 2 endfraction endroot, with d being the distance they can see in miles and h being their eye-level height in feet. startroot 2 endroot mi 2 startroot 2 endroot mi 14 startroot 2 endroot mi 28 startroot 2 endroot mi
The addison see to the horizon at 2 root 2mi.
We have given that,Kaylib’s eye-level height is 48 ft above sea level, and addison’s eye-level height is 85 and one-third ft above sea level.
We have to find the how much farther can addison see to the horizon
Which equation we get from the given condition?[tex]d=\sqrt{\frac{3h}{2} }[/tex]
Where, we have
d- the distance they can see in thousands
h- their eye-level height in feet
For Kaylib
[tex]d=\sqrt{\frac{3\times 48}{2} }\\\\d=\sqrt{{3(24)} }\\\\\\d=\sqrt{72}\\\\d=\sqrt{36\times 2}\\\\\\d=6\sqrt{2}....(1)[/tex]
For Addison h=85(1/3)
[tex]d=\sqrt{\frac{3\times 85\frac{1}{3} }{2} }\\d\sqrt{\frac{256}{2} } \\d=\sqrt{128} \\d=8\sqrt{2} .....(2)[/tex]
Subtracting both distances we get
[tex]8\sqrt{2}-6\sqrt{2} =2\sqrt{2}[/tex]
Therefore, the addison see to the horizon at 2 root 2mi.
To learn more about the eye level visit:
https://brainly.com/question/1392973
Answer:
2 root 2mi.
Step-by-step explanation:
Edge2020
PLS HELP ME 50 POINTS AND I WILL MARK THE BRAINLIEST
Answer:
1. 392 in², 2. 94.99 cm², 3. 145.2 ft², 4. 161.5 m², 5. 17 ft and 81 cm
Step-by-step explanation:
1. A = 16 x 19
A = 304
A = 1/2(11x16)
A = 1/2(176)
A = 88
304 + 88 = 392 in²
2. A = πr²
A = 3.14*5.5²
A = 3.14*30.25
A = 94.985
A = 94.99 cm²
3. A = 1/2(bh)
A = 1/2(11x26.4)
A = 1/2(290.4)
A = 145.2 ft²
4. A = bh
A = 9.5*17
A = 161.5 m²
5. part 1
A = (1/2) · (p + q) · h
112 = (1/2)(11+q)(8)
112 = 4(11+q)
112 = 44 + 4q
68 = 4q
17 = q
17 ft
5. part 2
A = lw
364.5 = 27w
13.5 = w
P = 2l + 2w
P = 2(27) + 2(13.5)
P = 54 + 27
P = 81
81 cm
Hope this helps :)
Please Help! Will Give Brainlest! Locks In an Hour! Please try again if brainly Deletes your Answer!
Answer:
The answer to your question would be -0.383
Step-by-step explanation:
I have no idea why it's deleting my answers, but that's the best choice.
What is the probability of rolling a sum of 8 with a pair of dice?
Answer:
[tex]\frac{5}{36}[/tex]
Step-by-step explanation:
the total number of possible combinations of rolling two dice is 36 because a side has 6 sides and [tex]6^{2}=36[/tex]
and possible combinations that sum to 8 are
2 and 63 and 54 and 45 and 36 and 2which are 5 possible combinations which gives [tex]\frac{5}{36}[/tex]
Sectionalism:Question 10
What was the main reason that most northerners were opposed to the
new Fugitive Slave Act created by the Compromise of 1850?
Answer:
They felt it gave the commissioners too much power and was unfair to slaves by giving them a trail without injury
Save my soul!!!!
if you can pIz show me what you did to get answers.
Answer:
9
41/4
23/2
51/4
14
Step-by-step explanation:
The first term is the first term that is given. Just copy it.
Each next term is the previous term plus the common difference.
First term: a_1 = 9
Second term: a_2 = 9 + 5/4 = 36/4 + 5/4 = 41/4
Third term: a_3 = 41/4 + 5/4 = 46/4 = 23/2
Fourth term: a_4 = 46/4 + 5/4 = 51/4
Fifth term: a_5 = 51/4 + 5/4 = 56/4 = 14
Identify the equation that describes the line in slope-intercept form.
slope = 3, point (−2, −4) is on the line.
choices:
y = 3x − 10
y = 3x − 4
y = 3x + 2
y = 3x − 2
Pls help im in a test
Y^2+8y+2 y=-5 evaluate the expression
Answer:
the correct answer is shown below
Step-by-step explanation:
hope this helps
have an awesome day -TJ
pls mark brainliest if this helps :)
Express as in Kg using decimals.
a) 12 g. b) 7 g.
c) 35 kg 15 g. d) 675 g
Answer:
a)0.012 kg
b)0.007kg
c)35.015kg
d)0.675kg
Step-by-step explanation:
please mark me as brainlest
What is the length of the sides of kite abcd? ab = 20; cd = 15 ab = 15; cd = 20 ab = 9; cd = 16 ab = 24; cd = 25
The length of the side AB and side CD of kite abcd which is shown in the figure is 15 units and 20 units respectively.
What is Pythagoras theorem?Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of square of other two legs of right angle triangle.
Let the intersection point of dignoals is O. The figure of the kite ABCD, is attached below. The sides of the kite ABCD, are,
[tex]AO=12\\OB=9\\CO=12\\OD=16[/tex]
In the triangle AOB using the pythagours theorem,
[tex]AB=\sqrt{(AO)^2+(OB)^2}\\AB=\sqrt{(12)^2+(9)^2}\\AB=\sqrt{225}\\AB=15[/tex]
Similarly, in the triangle DOC using the pythagours theorem,
[tex]CD=\sqrt{(CO)^2+(OD)^2}\\CD=\sqrt{(12)^2+(16)^2}\\CD=\sqrt{400}\\CD=20[/tex]
Thus, the length of the side AB and side CD of kite abcd which is shown in the figure is 15 units and 20 units respectively.
Learn more about the Pythagoras theorem here;
https://brainly.com/question/343682
Answer:
its B
Step-by-step explanation:
One week a student exercised 3 hours at school and another of an hour at home. If of the student's total exercise came from playing basketball, how much time did the student spend playing basketball that week? Enter your answer in hours; do not include units in your answer.
Answer:
The student spent 48 minutes and 45 seconds playing basketball.
Which expression is equivalent to 3
5v ?
Answer:
x ^5/3 y ^1/3 (the second option listed)
Step-by-step explanation:
So without even solving the expression, you can find the correct option. If you're finding the cube root (or really any square root), you know it will be less than your original number (unless you are working with imaginary numbers, but you aren't).
So, if you are finding the cube root of an expression, you're finding the cube root of each number separately.
You wouldn't be cubing y, you would be finding the cube root. You wouldn't be leaving y the same, you are finding the cube root.
This means that without even solving (which I will explain),
the correct option is the second one on the screen.
Here's how to actually solve the equation:
So, if we are finding the cube root of a variable with an exponent, we can divide that exponent by 3 (because it is a cube root).
When we have a square root, you know that we are breaking down each number/variable into an even exponent to solve the expression. When taking the square root of an even exponent, such as 4, you would divide by 2.
This same strategy applies to cube roots. You are dividing the exponent of both variables by 3.
[remember: the exponent of a variable without an exponent is essentially an invisible exponent of 1.]
show your work please :(
Answer:
you cant see the picture
Step-by-step explanation:
5. A triangle with a perimeter of
8 is dilated by a scale factor
of 2. What is the perimeter
of the new triangle?
Step-by-step explanation:
a scale factor normally applies to lengths (one-dimensional sizes).
the perimeter of a triangle is calculated only by using lengths, so we can apply the scaling factor directly to the perimeter.
perimeter of the new triangle = 2 × perimeter of the old triangle = 2×8 = 16
The question is below:
QUESTION -> {WHICH EQUATION DESCRIBES A LINEAR FUNCTION }.
?ANSWER :
B .
y =(1 — 6 ) ×
or.
C .
y = (2) ×
HOPE IT HELPS .
THANK ME LATER THANKS.
The interior angle of a regular polygon is 154°, What is
the size of an exterior angle?
Answer: 26 degrees
Step-by-step explanation:
An interior angle and its exterior angle are supplementary.
In ΔJKL, the measure of ∠L=90°, KJ = 41, JL = 40, and LK = 9. What ratio represents the cosine of ∠J?
Ann and Makiko like to swim laps at the community center pool.
They are swimming together today (day 1), but they are on different swim schedules. Ann swims every three days and Makiko swims every five days.
Question: How many times will they both swim at the pool on the same day
during the next ten weeks (including the first day)?
please explain process and show thinking in steps.
=========================================================
Explanation:
The LCM of 3 and 5 is 3*5 = 15.
Every 15 days, the two people will swim together on the same day.
Day 1 = first day swimming togetherDay 1+15 = Day 16 = second day swimming togetherDay 16+15 = Day 31 = third day swimming togetherAnd so on.
Keep this process going of adding on 15 to find this sequence
1, 16, 31, 46, 61, 76, ...
We stop the sequence once we either reach 70 or go over it because there are 7*10 = 70 days in ten weeks. This assumes we use a 7 day week rather than a 5 day week.
As shown in bold, there are 5 items smaller than 70. So the two people swam together a total of 5 times
-----------------
Alternatively, you can solve 15n+1 = 70 for n to get n = 4.6 which rounds down to n = 4 to represent the set {0,1,2,3,4} which has 5 items in it to represent the five times total they swim together.
n = 0 corresponds to day 15n+1 = 15(0)+1 = 1n = 1 corresponds to day 15n+1 = 15(1)+1 = 16and so on until reaching n = 4 corresponding to day 15(4)+1 = 61.