Answer:
136
Step-by-step explanation:
This is an arithmetic sequence
The formula is an = a1 + f × (n-1)
n= the number we are trying to find = 37
a= the number in any given space on the sequence
a1= 460
f= the common difference between the numbers
f= -9 because you subtract 9 from each to get the number
a37= 460-9(37-1)
a37= 460-9(36)
a37= 460- 324
a37= 136
[tex] \\ [/tex]
The first three terms of a sequence are 460, 451, 442[tex] \\ [/tex]
To Find :[tex] \\ [/tex]
37th term of sequence = ?[tex] \\ [/tex]
Solution :[tex] \\ [/tex]
Clearly these three terms are making an arithmetic sequence, with :
First term, a = 460 Common difference, d = 451 - 460 = - 9[tex] \\ [/tex]
Now, we have to find 37th term of sequence = [tex] \tt a_{37}[/tex]
[tex] \\ [/tex]
Now, we know that :
[tex] \large \underline{\boxed{\bf{a_{n} = a + (n-1)d}}}[/tex]
[tex] \\ [/tex]
[tex] \tt : \implies a_{37} = a + (37-1)d[/tex]
[tex] \tt : \implies a_{37} = a + 36d[/tex]
[tex] \\ [/tex]
Now, by substituting values of a and d :
[tex] \tt : \implies a_{37} = 460 + 36 \times (-9)[/tex]
[tex] \tt : \implies a_{37} = 460 - 324[/tex]
[tex] \tt : \implies a_{37} = 136[/tex]
[tex] \\ [/tex]
Hence, value of 37th term of given sequence is 136.
Charmaine has 17 cars available to rent. Let C be the number of cars she would have left after renting R of them.
Answer:
C = 17 - R
Step-by-step explanation:
In this scenario, 17 cars would be the initial starting point. While C would be the final number of cars, meaning that our equation would have to equal C. If she rents R number of cars then this number is being subtracted from the initial number of cars because Charmaine would no longer have them in his/her possession. Therefore, it is being subtracted. Using this information we can create the following equation.
C = 17 - R
Violet creates two spinners for a game. Each spinner is spun once, and the sum is recorded. The table represents the sums of the spinners and the frequency of each sum. A 2-column table with 7 rows. The first column is labeled sum with entries 5, 7, 9, 11, 13, 15, 17. The second column is labeled frequency with entries 1, 2, 3, 4, 3, 2, 1. What statement is true about the mean of the sums of the two spinners? The mean is 12. The mean is 16. The mean is the same as the median. The mean is the same as the range.
Answer:
c
Step-by-step explanation:
edg 2021
no one bothers to read why anyways
The first column is labeled sum with entries 5, 7, 9, 11, 13, 15, 17.
The second column is labeled frequency with entries 1, 2, 3, 4, 3, 2, 1.
We have given,
Violet creates two spinners for a game.
Each spinner is spun once, and the sum is recorded.
The table represents the sums of the spinners and the frequency of each sum.
A 2-column table with 7 rows.
What is the sum ?
The sum is the forword counting of the numbers.
The first column is labeled sum with entries 5, 7, 9, 11, 13, 15, 17.
The second column is labeled frequency with entries 1, 2, 3, 4, 3, 2, 1.
The follow me to get 50 points.
To learn more about the data visit:
https://brainly.com/question/19243813
1. Dolores is on a bridge that is 42 feet above a lake. What is the distance from Dolores to the boat? G
Answer:
See answer below
Step-by-step explanation:
You are missing data such as the angle of the boat next to Dolores. I found an exercise similar to this, and I'm going to show it here and use the missing data to show you how to do it:
Dolores is on a bridge that is 45 feet above a lake. She sees a boat at a 30 degree angle of depression. What is Dolores' approximate horizontal distance from the boat?
According to that, I will use the angle of 30° to do this, but the distance of 42 feet.
Now, we can see this as a triangle. Dolores is on a bridge 42 feet above a lake, this 42 feet distance should be one side of the triangle (The vertical forming the 90° angle), and the boat that is on the lake, is seen with an angle of 30°. So the distance of the boat, to the spot where dolores is, under the bridge would be the horizontal side.
With this, we have the opposite side (a) and the adyacent side (b) of the triangle, and we have the angle, therefore:
tanα = a/b
Replacing we have:
tan30° = 42/b
b = 42 / tan30°
b = 72.75 feet
Hope this helps
Can you find the midpoint of the segment with the following endpoints.
(-7,-5) and (-4,2)
9514 1404 393
Answer:
(-5.5, -1.5)
Step-by-step explanation:
The midpoint is the average of the end points:
((-7, -5) +(-4, 2))/2 = (-7-4, -5+2)/2 = (-11, -3)/2 = (-5.5, -1.5)
The midpoint of the segment is (-5.5, -1.5).
HELP PELASE ASAPppppp
Answer:D
Step-by-step explanation:
2x - 5y = - 15
I need to rewrite it in the terms of “y” an I need the steps on how to do it thanks
Answer:
2x+15=5y
y=(2x+15)/5
hope this helps
Answer:
[tex]y = \frac{2}{5} x + 3[/tex]
Step-by-step explanation:
2x - 5y = -15
Firstly, you will need to isolate the variable you are solving for, in this case, y.
2x - 2x - 5y = -15 - 2x
-5y = -15 - 2x
-5y/-5 = -15/-5 - 2x/-5
A negative divided or multiplied by a negative is positive.
[tex]y = 3 + \frac{2}{5} x[/tex]
Rearrange.
[tex]y = \frac{2}{5} x +3[/tex]
Please hurry
Select all the points that are on the graph of the line
3x + 5y = 20 ?
Answer:
x=5
y=1
Step-by-step explanation:
3*5=15
5*1=5
15+5=20
What is the rate of change of
the function when x=-1 and
x = 1?
A
A. 2
B. 4
C. -2
D. -4
0.
Answer:
c!!!!!!!!!!!!!!!!!!!
Four times a number is greater than 48
Answer:
12
Step-by-step explanation:
Answer:
4x>48
x>12ans.this is the correct answer
Enrique has $50 in his lunch account and spends $5 per day from the account. Maya has $46 in her lunch account and spends $4 per day from the account. Which equations model the situation?
50 – 5x = y and 46 – 4x = y
5x + 50 = y and 4x + 46 = y
5x – 50 = y and 4x – 46 = y
5 – 50x = y and 4 – 46x = y
Answer:
50 – 5x = y and 46 – 4x = y, is your answer
A shop makes £2,750 in March. It has an Easter sale and the profit for April is £3,162.50 Work out the percentage increase
Answer: 15%
Step-by-step explanation:
From the question, we are informed that a shop makes £2,750 in March while it made £3,162.50 in April. The increase will be:
= £3,162.50 - £2,750
= £412.50
Percentage increase = £412.50/ £2750 × 100
= 15%
25 over 50 as a reduced fraction
Answer:
1/2
Step-by-step explanation:
i think that is right
i hope so
have a good day hope that is correct
Answer:
1/2
Step-by-step explanation:
25 is half of 50
Find the value of x.
I will give brainliest if you get it right!, please double check your work! Thannks!
Answer:
36 degrees
Step-by-step explanation:
There's 180 degrees in a triangle.
Since they're supplementary angles, we do 180-142=38.
We now know that 106+38+x=180.
Solve for x: x=36
Find the angle of elevation of the sun if a 24ft. Flagpole casts a shadow 7 ft. Round your answer to the nearest tenth of a degree
Find the value of x when the triangle has 9 and 3
Answer:
H²=h²+b²
H²=9²+3²
H²=81+9
H²=90
H=
[tex] \sqrt{90} [/tex]
Choose the statement that describes a way to solve the equation x – 23 = 18.
Answer:
x-23=18
x=18+23
x=41
Step-by-step explanation:
go to - 23 on the other side after equal to the changed sign and find x
What is 38 times 4 plus the square root of 30
Answer:157.47722557
Step-by-step explanation:
All intergers are rational numbers? True or false
not all are integers because they are a bit different
Kira drove 522 miles in 9 hours.
At the same rate, how many miles would she drive in 7 hours?
GIven:522 miles in 9 hours.
So if we divide 522 by 9 we get that Kira drives 58 miles per hour.
Now in 7 hours Kira just drives 7 times that which means Kira drives.
58*7=406 miles
Hope this helped!
Step-by-step explanation:
Distance travelled in 9 hours = 522 miles
Distance travelled in 1 hour = 522/9 = 58 miles
Distance travelled in 7 hours = 7 * 58 = 406 miles
Hope it will help :)
Tionna has saved dimes and quarters in her piggy bank. Define the variables
Step-by-step explanation:
y = .10d + .25q
y is the total amount, if you have d dimes and q quarters
what is the answer. (11 x -8) + 7(x - 1) can you explain the answer in a sensible way. Thank you
Algebra question
Answer:
11x-8+7x-7
11x+7x-8-7
18x-15
Step-by-step explanation:
Can someone please help with this math question?
Answer:
Its easy
Step-by-step explanation:
1) 12
2)76
3)21.5
4)22.0
Hello immediately please
Sandy's aunt lives 250 miles away. If Sandy drives 55
ph, how long will it take her to get to her aunt's house?
A3 hours
B. 5 hours
C. 4.5 hours
D 6 hours
can someone solve this
A rectangular playground has an area of 3,394 square meters. If the width of the playground is 32 meters, find the length.
Answer:
106 square
Step-by-step explanation:
Area of rectangle = 3,394 square meters
Width = 32 meters
Length = ?
Area of rectangle = Length * Weight
3,394 = 32 * x
x = 3,394 /32
x = 106.0625
x = 106
The Length is 106 square
80 - [50 - {20 ÷ 2 – (16 - 2÷ 2) ÷ 3}]
80 - [50 - {20/2 - (16 - 2/2) ÷ 3}]
80 - [50 - {20/2 - (15) ÷ 3}]
80 - [50 - {10 - 5}]
80 - [50 - {5}]
80 - [45]
35
Answer:35
Step-by-step explanation:
80-[50-(10-5)
80-(50-5)
80-45=35
Can someone help me please
Answer:
height of b = 280
Step-by-step explanation:
candle b has a height of 280 - 5t, when it comes out of the mold then t=0 so the initial height of b is 280
candle b's height drops by 5 every hour (that's what the -5t part means)
candle a started at 216 and dropped to 192 in 3 hours, so it dropped by 24 in 3 hours so it drops 8 each hour
so candle b starts out taller (280 v. 216) and candle b burns slower (a at 8 per hour and b at 5 per hour), so b will never 'catch up' with a... candle a will be burned out while candle b is still burning
What is this number in standard form?
(5×1,000)+(9×1)+(2×1/10)+(6×1/1,000)
Enter your answer in the box. please ! 10 points help me !
it has to be a decimal please thanx so much
Answer: y=5(x+15)2−26 5
!BRAINLIST! please help me with this QUICK!
Answer:
Corresponding
Co-interior
None
Alternate exterior
Alternate interior
Corresponding
Ellen and Bob went to Olive Garden for dinner. Ellen’s dinner costs $24.95 and Bob’s dinner costs $21.95. If they leave an 18% tip, what is the total cost of their dinner, including tip? (Round your answer to the nearest cent, and do not include the $ sign.)
Answer: 55.34
Step-by-step explanation:
24.95 + 21.95 = 46.90
46.90 x 18%
18% = .18
46.90 x 18 = 8.442
8.44 = cost of tip
8.44 + 46.90 = 55.34