Answers
Related Questions
The 15th term of an arithmetic sequence is 21 and the common difference is -4.
(a) Find the first term of the sequence.
(b) Find the 29th term of the sequence.
(c) Find the sum of the first 40 terms of the sequence.
Answers
Answer:
a. Firat term of the sequence= 77
b. 29th term of the sequence= -35
c. Sum of the first 40 terms of the sequence= -40
Step-by-step explanation:
The first term of the sequence is 77, the 29th term of the sequence is -35 and the sum of the first 40 terms of the sequence is -40.
Given that, [tex]a_{15} =21[/tex] and d=-4.
What is the nth term of the arithmetic sequence?The nth term of the arithmetic sequence is [tex]a_{n} =a+(n-1)d[/tex].
To find the first term of the sequence:
[tex]a_{15}[/tex]=a+(15-1)(-4)
⇒21=a+(15-1)(-4)
⇒a=77
To find the 29th term of the sequence:
[tex]a_{29}[/tex]=77+(29-1)(-4)=-35
To find the sum of the first 40 terms of the sequence:
The first n terms of a sequence [tex]=\frac{n}{2}[2a+(n-1)d)][/tex]
[tex]S_{40} =\frac{40}{2}[2 \times77+(40-1)(-4))][/tex]
=20(154-156)=-40
Therefore, the first term of the sequence is 77, the 29th term of the sequence is -35 and the sum of the first 40 terms of the sequence is -40.
To learn more about the arithmetic sequence visit:
https://brainly.com/question/15412619.
#SPJ2
Let's try this again also bots dont respond.
Jonathon kicks a kickball into the air. The height of the ball in feet can be determined using the equation h(t) = 32t - 16t^2 where t is time in seconds. To determine how long the ball is in the air, he would need to calculate what? minimum maximum y-intercept x-intercepts
Which equation is a step in finding the solution to how long the ball is in the air? h(0)=32(0)-16(0)^2
0=16t(2-t)
h(t)=-16(t-1)^2+16
h(3)=32(3)-16(3)^2
Answers
Steps to determining how long it will take to calculate:
h(0) = 32t - 16t^2
0 = 32t - 16t^2
16t(2-t)
16t = 0
t = 0
2-t = 0
-t = -2
t = 2
This means that 0 = 16t(2-t) would be a step
Can some please help me with this question
Answers
9514 1404 393
Answer:
423 in²
Step-by-step explanation:
The area is given by the formula ...
A = 1/2·xy·sin(W)
A = 1/2(32 in)(96 in)sin(16°) ≈ 423.379 in²
The area of ∆WXY is about 423 square inches.
Write 5.5 as a mixed number.
Answers
Answer:
5 1/2 :)
Step-by-step explanation:
1. 5.5= 5.51
2. 5.51 = (5.5*10)(1*10)=5510
3.(55/5)(10/5)=112 When reduced to the simplest form.
4. As the numerator is greater than the denominator, we have an improper fraction, so we can also express it as a mixed number, thus 5510 is also equal to 512 when express as a mixed number.
Solve for X
show me what steps to do for this one
Answers
Answer:
x = 24
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
120° is an exterior angle of the triangle, then
2x + 3x = 120
5x = 120 ( divide both sides by 5 )
x = 24
Answer:
here ig ..this is all
Step-by-step explanation:
sry if I got wrong
stay safe ...
Which is the ordered pair of represents point d
Answers
Answer:
D. (3,2)
Step-by-step explanation:
Answer:
(3, 2)
Step-by-step explanation:
Which graph represents the function f(x) = 4|x|?
Answers
Answer:
es la b
Step-by-step explanation:
simplify the product (2u-4)(u^2+2u-7) pls don't just give me the answer bc i know the answer but can you pls explain how you got the answer
Answers
Answer:
2 • (u - 2) • (u2 + 2u - 7)
Step-by-step explanation:
2.1 Pull out like factors :
2u - 4 = 2 • (u - 2)
Trying to factor by splitting the middle term
2.2 Factoring u2 + 2u - 7
The first term is, u2 its coefficient is 1 .
The middle term is, +2u its coefficient is 2 .
The last term, "the constant", is -7
Step 1: Multiply the coefficient of the first term by the constant 1 • -7 = -7
Step 2: Find two factors of -7 whose sum equals the coefficient of the middle term, which is 2 .
-7 + 1 = -6
-1 + 7 = 6
Find the perimeter of the figure in miles.
Answers
Answer:
30.85 miles
Step-by-step explanation:
circumfrance = Pi X D
c = Pi X 12
C = 37.7...
c/2 = 18.85...
+ 12 miles
= 30.8495559215 miles
= 30.85 miles
Each state can set its own minimum wage. If the federal and state minimum wages are different, the highest minimum wage is used.
True
False
Answers
Answer:
True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Wages are usually identified as the money you are paid per hour. For instance, the current minimum wage in the United States, meaning the least per hour an employer can pay a worker, is $7.25 an hour. Minimum wage is determined by the Federal Department of Labor. Individual states can set a higher minimum wage for its citizens. In those instances where the federal and state minimum wages are different, the higher minimum wage is used.
Dexter found a pair of jeans on sale for 40% off. When he brought it to the register, he discovered that all the store items were on sale for an additional 10% off. He wrote this expression to represent the final cost of the jeans based on the original price,
Answers
Answer:
i think its The sale price of the jeans is 50% of the original price.
Step-by-step explanation:
1st answer gets brainliest!!!
The surface area of this regular pyramid is 1040 cm2. The base is a regular pentagon with side b = 16 cm and slant height l =15 cm. Find its apothem (a).
PLEASE show work :))
Answers
If the expression above is rewritten in the form a+bi, where a and b are real numbers, what is the value of a?
Answers
Answer:
......................................,........
The five-number summary suggests that about 50\%50%50, percent of sales managers at Force Inc. manage fewer than what number of accounts?
Answers
Answer:
The median is is the midpoint of the data. This means half is below 50 and half is above 50. The answer would be they handle less than 50 accounts.
Answer:
So 1 is in the middle. 59 has 2 different numbers on both sides.
So your answer is 50
Step-by-step explanation:
35, 45, 50, 65, 85Minimum number is = 35Max number is = 85Medium = 50Q1 = 40Q3 = 75 59 has 2 different numbers on both sides.So the answer is 50.
Write a number using the following clues:
a multiple of 4
greater than 30 but less than 100
Answers
Answer:
Theres a lot of numbers you can choose from 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96,
Step-by-step explanation:
help plz 30 points and brainliest! <3
Answers
219x6 is 1314
840x 3 2520
219 x 6 = 1314
840 x 3 = 2520
200 x 6 = 1200
5319 x 4 = 21276
7043 x 8 = 56344
4909 x 6 = 29454
8000 x 3 = 24000
70 x 20 = 1400
53 x 60 = 3180
76 x 32= 2432
41 x 27 = 1107
52 x 28 = 1456
79 x 58 = 4582
94 x 78 = 7332
Natalie can bike 10 kilometers per hour faster than Aaron. By the time
Natalie travels 60 kilometers, Aaron has gone 40 kilometers. Find the speed
of Natalie and Aaron.
Answers
PLZZZ HELP ASAP LAST ONE TYSM
Answers
Answer:
answer: 31.4
Step-by-step explanation:
the formula to finding circumference is just diameter × pi we arent given the diameter so we have to figure it out but what we do know is the radius is half of the diameter so 5 x 2 = 10 so now that we have the diameter we just multiply by pi so 10 × 3.14 = 31.4 Hope this helps!
Answer:
10 π m
Step-by-step explanation:
Given,
Radius ( circle ) = 5 m
To find : Circumference ( circle ) = ?
Formula : -
Circumference ( circle ) = 2πr
Circumference ( circle )
= 2 x π x 5
= 10 π m
Help me it is due in 30min
Answers
The length of a rectangle is 4 cm more than 3 times its width. If the area of the rectangle is 15 cm², find the width.
Answers
Answer:88888888
Step-by-step explanation:
please help i’ll give brainliest
Answers
Answer:
Step-by-step explanation:
The answers are 1, 3, and 4 hundred percent sure it is correct
Use quadratic regression to find
the equation of the parabola
going through these 3 points.
(3,-12), (-2,43), (2,-5)
Answers
Answer: y = 1x^2 - 12x + 15
Step-by-step explanation:
In the equation y = 1/3x - 1, when x is 9, what is y? *
Answers
Answer:
y is 2
Step-by-step explanation:
plug in 9 for x and you get y is 2
Answer:
2
Step-by-step explanation:
Substitute 9 for x and calculate the y value:
y = (1/3)(9) -1 = 2
Keisha's teacher gives her the following information:
• m, n, p, and q are all integers and p = 0 and q +0
• A= and B=;
What conclusion can Keisha make?
Answers
Answer: b
Step-by-step explanation: b
Durning the summer , a shoe store sells sneakers and sandals at a ratio of 4:7 . If the store sells 164 pair of sneakers, how many pair of sneakers and sandals does the store sell in all ?
Answers
Answer:
x = number of pairs of sandals sold = 287
Total pair of sneakers and sandals sold = 451 pairs
Step-by-step explanation:
Sneakers = 4
Sandals = 7
Sneakers : sandals = 4 : 7
If the store sells 164 pair of sneakers
Let
x = number of pairs of sandals sold
Sneakers : sandals = 164 : x
Equate both ratios to find x
4 : 7 = 164 : x
4/7 = 164/x
4 * x = 7 * 164
4x = 1,148
x = 1,148/4
x = 287
x = number of pairs of sandals sold = 287
how many pair of sneakers and sandals does the store sell in all ?
Total pair of sneakers and sandals sold = Sneakers + sandals
= 164 + 287
= 451 pairs
Total pair of sneakers and sandals sold = 451 pairs
LIST THE ANGLES OF THE TRIANGLE FROM LEAST TO GREATEST ILL BRAINLIEST YOU IF YOU GET IT RIGHT
Answers
Right triangle A B C. Side A C is 10 meters, side B C is 20 meters, and hypotenuse A B is blank.
Find the area of the triangle.
a.
620 sq. m
c.
100 sq. m
b.
200 sq. m
d.
180 sq.m
Answers
Answer:
C) 100 sq. meters
Step-by-step explanation:
Emily is encouraged to read more than 4 hours each week. It takes her 45 minutes to finish her first book. She divides the remainder of the time equally amongst the other six days. What is the minimum number of minutes she should read each day? Write and solve an inequality. put this is an inequality pls!!
Answers
Step-by-step explanation:
x > 4 hours/week
4 hours is 240 minutes
45 minutes/ 1st book
4 hours minus 45 minutes is 3 hours and 15 minutes
3 hours and 15 minutes = 195 minutes
195 minutes ÷ 6 = 32.5 minutes
make the formula working backwards
(240 - 45) ÷ 6 > x
Choose the equation of the horizontal line that passes through the point (-5,1)
Answers
Answer:
[tex]y = 1[/tex]
Step-by-step explanation:
Every point on a horizontal line has the same y-value. Use the y-value of the point to find the equation of the horizontal line.
Hope it is helpful....Step-by-step explanation:
the line is passing through the point -5,1
the y-coordinare is 1
so y=1
expand -9(9-p)
...................................
Answers
Answer:
35
Step-by-step explanation:
Answer:
-81+9p
Step-by-step explanation:
-9(9-p)
-9×9-9×-p
-81-9×-p
-81-(-9p)
-81+9p
9p-81