Given :-
-13,-2,9,20,31 . . . . .To find :-
which term in this sequence is 306 .Solution :-
Common difference ,
d = 31 - 20 d = 11As we know that ,
Tⁿ = a + (n-1)d 306 = -13 + (n-1)11306+13 = (n-1)11319/11 = n-129 = n -1 n = 30Answer:
30th
Step-by-step explanation:
There is a common difference between consecutive terms, that is
- 2 - (- 13) = 9 - (- 2) = 20 - 9 = 31 - 20 = 11
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 13 and d = 11 , then
[tex]a_{n}[/tex] = - 13 + 11(n - 1) = - 13 + 11n - 11 = 11n - 24 ← equate to 306
11n - 24 = 306 ( add 24 to both sides )
11n = 330 ( divide both sides by 11 )
n = 30
The 30th term is 306
evaluate: 16^1/2 x 2^-3
Answer:
64
Step-by-step explanation:
16^1
---------------------- = 64
2 x 2 - ^3
Apply exponent rule
16^1 = 16
= 16
------------------
2x2 - ^3
16 = 2x 8
2 x 8
-----------
2 x 2 - ^3
Cancel the common factor <2>
8
---------
2-^3
Factor the number 8 = 2^3
2^3
----------
2-^3
Apply exponent rule.
= 2^3 - (-3) = 6
3- (-3) = 6
= 2^6
2^6 = 64
64 is the answer
Answer:
0.5
Step-by-step explanation:
[tex] {16}^{ \frac{1}{2} } \times 2 {}^{ - 3} [/tex]
[tex] \sqrt{16} \times \frac{1}{{2}^{3} } [/tex]
[tex]4 \times \frac{1}{2 \times 2 \times 2} [/tex]
[tex] \frac{1}{ 2} [/tex]
In BOMAMS 'M' stands for
⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ B = Bracket
⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ O = Open
⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ D = Division
⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ M = Multiplication
⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ A = Addition
⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ S = Subtraction
Answer:
B= Bracket
O= Open
D=Divide
M=Multiplication
A=Addition
S=Subtraction
Please Help
Geometry
What is the range of the given function ?
Answer:
6740
Step-by-step explanation:
Answer:
There is no function provided
FYI
Domian is all x-values
range is all y-values
For ex..
(-3,6)
-3 is domain
6 is range
Step-by-step explanation:
please help need this done by tomorrow thank you [PHOTO]
Answer:
31
Step-by-step explanation:
sum of the bordering angles is 180° so
(5x-16) + (x+10) = 180
5x - 16 + x + 10 = 180
6x - 6 = 180
6x = 186
x = 186 ÷ 6
x = 31
Answer:
The answer is x=31.
5x-16+x+10=180
6x-6=180
6x=186
x=31
Then, 5(31)-16=
155-16= 139
Also, x+10=
31+10=41
Solution check:
139+41=180, so x=31 is correct.
whats 3/4+1/8 i dont know how to add them help im not cheating i promise i just need it to answer the question that i have and i couldn't ask it because it has a picture and i dont know how to take a picture on it because im on my personal chromebook
Answer:
7/8
Step-by-step explanation:
You multiply 3/4 by 2 to get a common denomerater, then you get 6/8, after you add 1/8 + 6/8 and get 7/8
Solve for in terms of A and w. A=w
Answer:
Step-by-step explanation:
Given A = w:
w in terms of A is w = A, and
A in terms of w is A = w
Sowy about all my questions b-b-but please help with another one?
Answer:
A
Step-by-step explanation:
count both sides divide by missing pieices
Consider the functions p(x) = 5x3 + 6x2 + 4x and qx) = 5640.
-
1. Use graphing technology to find a value of that makes p(x) = q() true.
what is the answer for this equation 3x-2=2x+9
Answer:
x = 11
Step-by-step explanation:
3x-2x=9+2 1st and 2nd principle
X=11
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
44 millimeters
Step-by-step explanation:
The ratio is set up as millimeters : meters
On the map, 4 millimeters : 9 meters
The actual length ratio is represented as x millimeters : 99 meters
Since we know its proportional, we can set up the equation:
4/9 = x/99
Solve:
4/9 = x/99
4 * 99 = 9x
396 = 9x
x = 44 millimeters
Another Way
Since we already know it is proportional, 99 = 9 x 11
So we can multiply 4 x 11 to get 44 millimeters.
-Chetan K
a bit hard. thank you if u can do it for me? <3
The triangle shown is a right triangle shown by the little square inside of it.
Area of a triangle is 1/2 x height x base
Rotating the shown triangle so the square is at a bottom corner the height is 6 and the base is 6
Area = 1/2 x 6 x 6 = 18 square cm
Help help please please
Step-by-step explanation:
=2(20)+2(14)
=2⋅20+2(14)
=40+2(14)
=40+2⋅14
=40+28
=40+28
=68
Answer:
P = 68Step-by-step explanation:
P = 2L + 2W
P = 2(20) + 2(14)
P = 40 + 28
P = 68//
100 points and brainliest if you answer all 48 question fast hurry and no link and no wrong answer
Answer:
D = 26°
Step-by-step explanation:
Opposite Angle Theorem
Answer:
There are no 48 questions but the answer to this one I think is the 4th choice
(my opinion)
Step-by-step explanation:
Hey, What’s up I think I know the answer but I’m not 100% so I’m asking you.
Answer:
120ft squared
Step-by-step explanation:
We'll first separate this into 3 rectangles where the height changes.
We then have 3*8*2, 3*7*2, and 3*5*2.
This solves to 48, 42, and 30.
Those added are 120.
The thermostat for a house is set to 70°F, but the actual temperature may vary by as much as 4°F. Use an
absolute value inequality to find the range of possible temperatures in the house.
The range of possible temperatures in the house (in degrees Fahrenheit)
Answer:
Step-by-step explanation:
74’F
Answer:
The range of possible temperatures in the house (in degrees Fahrenheit) is 60° F ≤ T ≤ 74°F
Step-by-step explanation:
To Find:
The range of possible temperatures in the house
Solution:
Given:
Thermostat is set to 70 °
Also actual temperature may by a much of 4°
If the temperature is 4°F lower, and actual temperature = 70°- 4° = 66° F
If the temperature is 4°F higher, actual temperature = 70°+4° = 74°
Therefore, The range of possible temperatures in the house (in degrees Fahrenheit) is 60° F ≤ T ≤ 74°F
Purchased goods on credit from Mimi and Ana, RM300 and RM400 respectively. Btw this is account subject and can I know what is the debit and credit for this questions.
Need help please someone!
Answer: 270 inches squared
5x + 2 = 3x + 4(2x - 1)
show steps
Answer:
x=1
Step-by-step explanation:
5x+2=3x+4(2x-1)
5x+2=3x+8x-4
5x+2=11x-4
5x-11x=-4-2
-6x=-6
6x=6
x=1
MC)
The equation represents Function A, and the graph represents Function B:
Function A
f(x) = 6x-1
Function B
4
3
2
1
- 2
-3
-4
-5
-6
Which equation best compares the slopes of the two functions?
Previous Question
Take 2points on graph
(0,1)(1,4)[tex]\\ \sf\longmapsto slope=m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{4-1}{1-0}[/tex]
[tex]\\ \sf\longmapsto m=3[/tex]
HELP POINTS FOR Each answEr quantity 4 times x plus 3 end quantity divided by 5 equals quantity 8 times x minus 1 end quantity divided by 9.
[tex]\displaystyle \frac{4x+3}{5} ^{/9}=\frac{8x-1}{9} ^{/5} \\\\\\ 36x+27=40x-5 \\\\ 40x-36x=27+5\\\\ 4x=32 \\\\ \boxed{x=8 }[/tex]
Step-by-step explanation:
Given fractional expression:
(4x+3)/5 = (8x-1)/9
By doing cross multiplication, we get
⇛4x(9) + 3(9) = 8x(5) - 1(5)
⇛36x + 27 = 40x - 5
Now, combine the like terms in one side.
⇛27x - 40x = -5 + 36
⇛-13x = 31
⇛x = 31/-13 Ans.
Question
Jackson's backpack weighed 15 kg. Convert the weight to pounds. Round to the nearest pound.
Answer:
[tex]15 \times 2.205 = 33.0693 \: lb[/tex]
Unit conversion is a way of converting some common units into another without changing their real value. The Weight of Jackson's backpack is 33.075 pounds.
What is unit conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
Since 1 kg is equal to 2.205 pounds. Therefore, the Weight of Jackson's backpack is,
15 kg = 2.205 × 15 kg = 33.075 pounds
Hence, the Weight of Jackson's backpack is 33.075 pounds.
Learn more about Units conversion:
https://brainly.com/question/4736731
#SPJ2
Plz help me
I will thank you
Answer: 89674 buckets were produced in 4 months
Answer:
Step-by-step explanation:
First you have to do 5263 / 7 = 751.9 (rounded 751.857143)
Then do 751.9x121.6= 91 431
You get 121.6 because that is how many days are in 4 months.
Hope this helps !!!!
Have a good day/night!!<333
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 100 m long and 60 m wide.
Find the area of the training field. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.
Step-by-step explanation:
given,
length = 100 m
breadth = 60 m
we know,
area = l × b
now,
100 × 60 = 6000 m
therefore, area of rectangular field is 6,000 m.
and for both the semicircle if we add both the semicircle we will get a complete circle.
as the width of the rectangle is the diameter of circle so the radius of the circle is 60/2 = 30m
we know,
Area = πr²
now,
→ 3.14 × 30²
→ 3.14 × 900
→ 2826 m
so,
area of rectangle + area of circle = area of the training field.
→ 6000 + 2826 = 8826.
therefore, area of training field is 8,826 m.
hope this answer helps you dear...take care and may u have a great day ahead!
Answer:
8826 m²
Step-by-step explanation:
The field is composed of a rectangle and a circle .( the 2 semicircles form a complete circle when placed together )
area = area of rectangle + area of circle
= lb + πr² ( r = 60 ÷ 2 = 30 )
= (100 × 60) + (3.14 × 30²)
= 6000 + (3.14 × 900)
= 6000 + 2826
= 8826 m²
100 OOO 000
- 62431556
Answer:
37568444
hope this helps
:) Answer fast if you can
Answer:
The answer is B
Step-by-step explanation:
Hope it helps
Describe a way to make the arithmetic problem 45% x 680 mentally
Answer:
306.
Step-by-step explanation:
Firstly, we are aware 100% of 680 is obviously 680,
Next, we know half of a 100% is 50% therefore half of 680 is 340.
Then, we know 45% is 5% less than 50%
To find 5% of a number mentally, divide it by 10 as 100÷5=20
680÷20=34
Lastly 50% subtracted by 5%: 340-34=306.
Now we know, 45% of 680 is 306.
Hope this helps.
Hope this helps.Please mark BRAINLIEST.
ACME insurance company estimates that the probability of the owners’ of a house worth between $120,000 to $170,000 making a claim for $5000 is 0.08, and that the probability of the house and contents being totally destroyed is 0.0041. Should that tragedy happen, the company will have to pay $150,000. The company charges $1300 for the insurance policy.
What is the expected value of this policy to the insurance company?
Round your answer to two decimal places.
The expected value of this policy to the insurance company is $285.00.
Using this formula
Policy expected value=Insurance policy charges-[(Probability × Claim)+(Probability × Claim)]
Let plug in the formula
Policy expected value=$1,300-{(.0041)($150,000)+(.08)($5,000)]
Policy expected value=$1,300-($615+$$400)
Policy expected value=$1,300-$1,015
Policy expected value=$285.00
Inconclusion the expected value of this policy to the insurance company is $285.00
Learn more here:
https://brainly.com/question/19819099
Neil change the oil in his vehicle the car requires 6 quarts of oil if Neil wants to change his or every month for a year how many quarts of oil will Neil need?
Answer:
72 quarts
Step-by-step explanation:
1 year = 12 months, and Neil changes the oil each month, and each month he uses 6 quarts of oil. So, the number of quarts he will need for a year is
6 + 6 + ... + 6, twelve times, which equals 12(6) = 72 quarts.
You deposit $200 in a savings
account that pays a simple
interest rate of 3.25% per year.
How much interest will you earn
after 5 years?
Answer:
$16.25
Step-by-step explanation:
First, you have to find 3.25*5 which is 16.25.
16.25 is the percent rate of your total interest over the course of 5 years.
In other words, you have to do 200*0.1625 which is 32.5.
So, your answer is $16.25.
Good luck!