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
A square field is 30 m long.Find the length of wire required to fence it with 4 rounds
Answer:
120m
Step-by-step explanation:
because 30×4 is 120
Write the expression in rational exponent form.[tex](\sqrt[4]{x}+5)^{3}[/tex]
[tex] = \: \: \: \sqrt[4]{ {x}^{3} + 15 \sqrt{x} + 75 \sqrt[4]{x} + 125 } [/tex]
hope it helps
see the attachment
Find x. Round your answer to the nearest tenth of a degree.
Answer:
x = 50.5°
Step-by-step explanation:
Use SOH CAH TOA... Since the adjacent and hypotenuse are given, you must use cosine.
cos(x) = 14/22
cos^-1 (14/22) = 50.5°
I just need mental help at this point
Answer:
1:2
Step-by-step explanation:
QRS is double the size of TUV
add 3 3/5 + 6 3/10 tyyyyy
[tex] = 9 \frac{9}{10} \\ \\ in \: \: alternate \: \: forms \\ \\ \frac{99}{10} \: \: \: and \: \: 9.9 \\ \\ hope \: it \: \: helps[/tex]
see the attachment!Helpp need it now
9.) Find the N' .
1.) {j , u , d , g}
2.) {m , n , t , a , l}
3.) {j , u , d , g , e}
4.) {m , e , n , t , a , l}
10.) Find the N U I.
1.) {m , n , t , a , l}
2.) {j , u , d , g , e}
3.) {m , e , n , t , a , l}
4.) {j , u , d , g , m , e , n , t , a , l}
Answer:
8.) ans {e}
9.) ans {j, u, d, g}
10.) ans {j, u, d, g, m, e, n, t, a, l}
7.
Write an equation in point-slope form for the line through the given point with the given slope.
(10, –9); m = –2
A. y – 10 = –2(x + 9)
B. y – 9 = –2(x – 10)
C. y – 9 = –2(x + 10)
D. y + 9 = –2(x – 10)
Answer:
D. y + 9 = –2(x – 10)
Step-by-step explanation:
GradPoint answer
I also got the answer correct on the quiz.
Triangles PQR and XYZ are similar. What is the length of XZ?
William has a lemonade stand. Today he made $89.62 in lemonade sales and one third that amount in cookie sales. How much money did William make altogether?
Answer:
$119.49 (rounded to the nearest cent.)
Answer: 119.4933333 would be the actual answer but rounded to the nearest cent it would be 119.49
89.62/3 = 29.8733333....... 89.62 + 29.8733333 = 119.4933333
Can someone pls help me I really need help in here.. PLS…
And if u can explain how you make it I will appreciate it,. Thank u:(((
Answer:
So, "Compare the following rational numbers," its asking which of them is greater, or if there equal to each other.
So for 3.25 and 3 1/2
3 1/2 is greater
3.25 < 3 1/2 (so it should look like this when the symbol on that side)
and for -4.5 and -4.05
-4.05 is greater.
-4.5 < -4.05 (so the symbol is also on that side.)
the general solution of sinx + cosx =√2 is..??
The answer is A. x= [tex]\pi[/tex]/4 +2[tex]\pi[/tex]n
Answer:
the general solution has answer
2nπ+π/4
Assume that y varies inversely as x. If
Y
y = 10 when
=
x = 4, what is the value for y when
x = 6?
Answer:
x=5
Explanation:
y∝1x∴y=k⋅1x∴x⋅y=k;
When x=4;y=10∴4⋅10=kork=40.
So variation equation is x⋅y=40
When y=8;x=408=5∴x=5 [Ans]
Step-by-step explanation:
not surre
Answer:
6.67
Step-by-step explanation:
10=4
y=6
10×4/6
What is the value of the expression 30-(-6)?
-180
-5
Ο Ο Ο Ο
5
24
Answer:30-(-6) is the same as 30+6. 36 is the value of the expression 30-(-6). If it were written:
30x(-6) = -180
30-6 = 24
But 30-(-6) = 36
Step-by-step explanation:
Hello, i need some help for questions 2-5 please
Answers:
4. =9.999........
Examplantion :
5×2÷3=9.99999..........
Need help with number 31
Answer:
Kelly's wrong, because 97/1000 can be written as 0.097 not 0.97.
Step-by-step explanation:
you would get 0.97 by dividing 97 by 100.
Justin recently drove to visit his parents who live 96 miles away. On his way there his average speed was 20 miles per hour faster than on his way home (he ran into some bad weather). If Justin spent a total of 4 hours driving, find the two rates (in mph). Round your answer to two decimal places, if needed.
Justin's average speed to his parents' house: __________ mph
Justin's average speed from his parents' house: __________ mph
Answer:
Justin's average speed to his parents' house: x= 40mph
Justin's average speed from his parents' house: x+20=60 mph
Step-by-step explanation:
Let the average speed be x +20
Then average speed from his parents' x
And the distance is S=96
Then we know :
[tex]\displaystyle \frac{S}{x+20} +\frac{S}{x} =4 \\\\\\ \frac{96}{x+20} +\frac{96}{x}=4 \ |\div 4 \\\\\\ 24\bigg(\frac{1}{x+20} +\frac{1}{x} \bigg) =1 \\\\\\ 24\cdot \frac{x+x+20}{(x+20)x} =1 \ |\cdot (x+20)x \ \ \\\\\\48x+480=x^2+20x \\\\ x^2-28x-480=0 \\\\ \rm D=28^2+4\cdot 480=2704 =52^2 \\\\ \boxed{x_1=\frac{28+52}{2} =40} \\\\x_2=\frac{28-52}{2} =-12 \ \ \varnothing[/tex]
Justin's average speed to his parents' house: x= 40mph
Justin's average speed from his parents' house: x+20=60 mph
Which graph represents the function f(x)=4⋅3x?
Answer: Bottom right corner (southwest corner)
Explanation:
Plug in x = 0 to find that
[tex]f(x) = 4*3^x\\\\f(0) = 4*3^0\\\\f(0) = 4*1\\\\f(0) = 4\\\\[/tex]
This shows that the y intercept is (0,4).
Of the four answer choices, only the bottom right corner has this y intercept. Note that the curve goes uphill when moving to the right. This function is increasing which matches with f(x) being an increasing function. In other words, f(x) represents exponential growth.
what is the expanded form of 203,574
Expanded Notation Form:
203,574 =
200,000
+ 0
+ 3,000
+ 500
+ 70
+ 4
Expanded Factors Form:
203,574 =
2 × 100,000
+ 0 × 10,000
+ 3 × 1,000
+ 5 × 100
+ 7 × 10
+ 4 × 1
Expanded Exponential Form:
203,574 =
2 × 105
+ 0 × 104
+ 3 × 103
+ 5 × 102
+ 7 × 101
+ 4 × 100
can anyone heelp me pls
Lotion - liquid
Suspension- semisolid
Capsule- Solid
Hope this helps :)
I NEED A 100% ACCURATE ANSWER FOR THIS ASAP NO LINKS !!!
Solve the following: 7y−20=3y+12
1: y= 3.2
2: y=8
2: y= -8
4: y= 28
Answer:
y=8
Step-by-step explanation:
7y-20=3y+12
7y-3y=12+20
4y/4=32/4
y=8
Answer:
7y-3y=12+20
4y=32
y=8
that's it. i don't know why I need 20 max character to submit
If you want someone to do your homework assignments for you (math, English) for a cheap price lmk
Answer:
I do lol
Step-by-step explanation:
Answer:
why would you wanna do someone's homework on Math and English?
Step-by-step explanation:
they wouldn't learn anything if they make you do their homework, besides what's the point of the homework if they don't learn anything? I know homework's are hard, but they give it for you to understand more of the lesson.
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each runner in a 4 4/5 mile relay race runs 4/5 of a mile.find the number of runners on a relay team
Answer:
Divide total distance of the race by the length each runner runs:
Divide total distance of the race by the length each runner runs:8 miles / 4/5
Divide total distance of the race by the length each runner runs:8 miles / 4/5When dividing by a fraction flip the fraction over and multiply:
Divide total distance of the race by the length each runner runs:8 miles / 4/5When dividing by a fraction flip the fraction over and multiply:8 miles x 5/4 = (8×5)/4 = 40/4 = 10
Divide total distance of the race by the length each runner runs:8 miles / 4/5When dividing by a fraction flip the fraction over and multiply:8 miles x 5/4 = (8×5)/4 = 40/4 = 10There are 10 runners
Step-by-step explanation:
HOPE IT HELPS YOU
Answer:
6 runners
Step-by-step explanation:
4 4/5 divided by 4/5 is 6.
Quickly answer number 10 text only no fonts (100 points) mark brainliest
25
have a great day! :3
Answer:
Hello again the square root of 625 is 25
Your mother drives 60 minutes at a constant speed of 40 miles per hour. She then speeds up, and drives for another 30 minutes at a constant speed of 70 miles per hour. How many miles does your mother travel all together? How long did the trip take?
Answer: written below
Step-by-step explanation:
1 hour time 40 miles/ hour =1*40=40miles
0.5 *70=0.5*70=35 miles
40+35=75 miles
60 minutes+30 minutes= 90 minutes or 1 1/2hours
Fractions
9/4 = ?/28 can u help me solve this explination please
SOLVE ASAP!!!!! NO LINKS!!!!!!∛²³1 + 4 x -96
Answer:
All i got was 3√23+4x−96
Step-by-step explanation:
Help or don’t if so thank you
Answer: 12.60 per CD
Step-by-step explanation:
Tax 0.80 * 3 = 2.40
40.20 - 2.40 = 37.80
37.8 / 3 = 12.60
Ken took 64 minutes to walk 4 miles on flat terrain. If he walked at a constant rate, how long would it take Ken to complete 5 miles?
Answer: 80 minutes
Step-by-step explanation:in the picture
I have no idea how to draw the last one … any help plz
Answer:
The intersection of the x and y axis is one point one the line, another one is (1, 1). The range of y<x is below the line I just described.
Step-by-step explanation:
what 21.807-10.739=?
Answer:
2.428 is the answer....