Answer:
The correct answer is: Option B: [tex]a_n = 25+(-4)(n-1)[/tex]
Step-by-step explanation:
Given sequence is:
25, 21, 17, 13,...
Here
a1 = 25
a2 = 21
a3 = 17
First of all we have to determine the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence.
So,
[tex]d = a_2 - a_1 = 21-25 = -4\\d =a_3-a_2 = 17-21 = -4[/tex]
The explicit formula is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
Putting the value of a1 and d
[tex]a_n = 25 + (n-1)(-4)\\a_n = 25-4n+4\\a_n = 29-4n[/tex]
Hence,
The correct answer is: Option B: [tex]a_n = 25+(-4)(n-1)[/tex]
Match each equation to the situation it represents
1st one says Leilah
2nd one says Stetson
Answer:
leiah has not yet studied...... = 2400 - 40x = 600
stetson rests studios spaces...... = 40x - 600 = 2400
a kit contains.... =. (600 + 40) x = 2400
Step-by-step explanation:
that might make it a bit easier
What is the 21st term of the sequence with a1 = -6 and d = 4?
Answer:
answer is 74
Step-by-step explanation:
-6+4 x 20
- 6+80=74
What point is on both lines y = 1/2x + 3 and y = x +1?
Answer:
(4,5)
Step-by-step explanation:
According to the 2014 national population projections published by the U.S. Census Bureau, the U.S. population is projected to be 334.4 million in 2020 with an estimated growth rate of 0.79% per year. Assuming the growth rate remains constant, find the projected population in 2050.
Answer:
423,437,744
Step-by-step explanation:
Given that :
Projected population in 2020 = 334.4 million
Estimated growth rate (r) = 0.79%
Projected population in 2050 ;
Using the exponential growth function :
Estimated value = initial value(1 + growth rate)^time
Initial value = i
Time = 2020 - 2014 = 6 years
334.4 = i(1 + 0.0079)^6
334.4 = i(1.0079)^6
334.4 = i2.43087455521E−13
i = 3.189786E8
Initial population = 318. 978 million
Estimated Population in 2050:
2050 - 2014 = 36
Projected population = 3.189786E8(1.0079)^36
Projected population = 3.189786E8*1.3274801
= 423437743.82586
= 423437744 million
Find the angle measure “X”. Round to the nearest
hundredth.
X
15
1
Answer:
if you want 400 points i suggest yu let this one fly
Step-by-step explanation:
If f(1) = 10, what is f(3)?
Answer:
30
Step-by-step explanation:
multiply each f by the same root numeral
Rewrite in simplest terms: -2(9t-3)-10t
Answer:
- 28t + 6
Step-by-step explanation:
-18t + 6 - 10t
- 28t + 6
so do yall know this?
Answer:
Length: meter
Mass: Kilogram
Volume of a solid: Cubic meter
Volume of a liquid: Liters
Temperature: Degree Celsius
Time: second
The formula for calculating density:
[tex]p = \frac{m}{v} [/tex]
Answer:
Look below! Have a wonderful day! Happy Holidays! :) Hope I helped!
I believe the formula of calculating Density is
p = m/v
Length is Meter
Mass is Kilogram
Volume of a Solid is Cubic Meter
Vloume of a Liquid is Liters
Temperature Degree Celsius
Time is Second
plleaasseee hurrry need help now
Answer:
107º
Step-by-step explanation:
Okay, if 135 is adjacent to an ungiven side, then to find that, you subtract 135 from 180.
180 - 135 = 45
So the other side is 45. Now we find the last unknown given side, and since we know 180 degrees is the sum of the degrees in a triangle, we do:
28 + 45 + x = 180
73 + x = 180
Subtract 73 on both sides you get,
x = 107.
Measure DEF is 107.
For a school project, Max made a pyramid using 587 sugar cubes. On his way to school 34 of the sugar cubes fell off. When he got to school his friends took 18 more cubes off the pyramid to eat.
Estimate how many sugar cubes remain on Max's pyramid.
Answer:
535
Step-by-step explanation:
587-34-18=
535
Answer:
550
Step-by-step explanation:
just is the answer
Simplify the expression. (Use the Distributive Property)
4(2c - 2)
Answer:
4(2-2c)
Step-by-step explanation:
because you switch it around
Answer:
-1
Step-by-step explanation:
times 4 by 2c and 4 by -2
8c and -8 then you divide by each other and get -1
how many solutions are there to the equation below
6x+30+4x=10(x+3)
a)0
b) infinitely many
c) one
Answer:
b) infinitely many
hope it helps
In a small private liberal arts college, 40 percent of the students receive financial aid, and 30 percent of the students that receive financial aid also are first generation college students. In addition, 25 percent of the students in the college own a hybrid car. What is the probability that a randomly selected student receives financial aid and is first generation college student
Answer:
P(A∩B) = 0.12
Step-by-step explanation:
Given:
Students receive financial aid P(A) = 40% = 0.4
Students receive financial aid and first generation P(B/A) = 30% = 0.3
Find:
Probability [Selected student receives financial aid and is first generation college student] P(A∩B)
Computation:
P(A∩B) = P(A) x P(B/A)
P(A∩B) = 0.4 x 0.3
P(A∩B) = 0.12
A grocery store sells steak for $6.10 per pound. What would be the cost of 2 lb of steak?
Answer: 12.20
Step-by-step explanation:
because if 6.10 is the amount for one pound, then if u need 2 pounds, then multiply 6.10 with 2.
Does this graph represent a function? Why or why not?
Help me I’m not sure the answe
Answer:
i believe it would be the last option.
Step-by-step explanation:
14) (-3k – 1) + (7 + 2k)
Help
Answer:
-k+6
Step-by-step explanation:
The perimeter of the parallelogram is 30 feet. Find m.
m=11
Step-by-step explanation:
the top side is 4, so that means the bottom side will also be 4, add them both, you get 8, 30-8 = 22, 22/2 = 11, m=11
Answer:
3
Step-by-step explanation:
2(4m + m) = 30
8m + 2m = 30
10m = 30
Divide by 10 on each side
m = 3
Check:
2 ( (4 x 3) + 3) = 30
2 ( 12 + 3) = 30
24 + 6 = 30
30 = 30
Hope this helps! :)
How much warmer is 82 than -40?
Answer:
-42 degrees
Step-by-step explanation:
-40-82=-42
the first row in a pattern of the 5 tiles.each row after the first had 2more tiles
Answer:
whats the question?
Step-by-step explanation:
Y=-1/4x +9 what is the slope and y - intercept
Answer:
Step-by-step explanation:
The equation is y = Mx + b
so the slope is -1/4 and the y intercept is (0,9)
Help me quickkkk please
Answer:
with? i dont see any pic
If a is half b , and b is twice c , then a:c=
Answer: a/c = 1
a/b = 1/2 => a = 1/2 .b
b/c = 2 => c = 1/2 .b
=> a/c = (1/2.b)/(1/2.b) = 1
Step-by-step explanation:
If a is half b, and b is twice c, then the fraction a:c will be 1.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
In another word, if we divide two numbers by each other then the upper word is called the numerator, and the lower word is called the denominator.
As per the given,
a is half b ⇒ a = b/2
b is twice c ⇒ b = 2c
By substitution,
a = (2c)/2
a = c
a:c = 1:1 = 1
Hence "If a is half b, and b is twice c, then the fraction a:c will be 1".
For more about fractions,
https://brainly.com/question/10354322
#SPJ2
Your parents gave you $200 to spend on a weeklong school trip. You have budgeted $25 per day for snacks and souvenirs. Write an equation that represents this situation
Answer:
200- 25d
Step-by-step explanation:
d equals number of days on the trip
please help me if you can, just click on the photo and you’ll see the question
Answer:
18.
Step-by-step explanation:
If you divide by something less than 1, it'll wind up being more than what it was before.
Please answer this ASAP
9514 1404 393
Explanation:
1. ∠BAC ≅ ∠BCA, BD ≅ BE, ∆BDA and ∆BEC are right triangles . . . . given
2. ∆ABC is isosceles . . . . definition of isosceles triangle
3. BA ≅ BC . . . . definition of isosceles triangle
4. ∆BDA ≅ ∆BEC . . . . HL theorem
5. AC ≅ CE . . . . CPCTC
DF bisects EDG. Find FG. The diagram is not to scale.
n + 5 = 2n - 6
n - 2n = -6 - 5
-n = -11
n = -11/-1
n = 11
FG = 2n - 6
FG = 2(11) - 6
FG = 22 - 6
FG = 16
Wait times for a bus follow a uniform distribution over the interval 0 to 10 minutes. Determine the probability that a person will wait between 4.0 mi
Answer:
P(x=4) = 0.4
Step-by-step explanation:
The density function of a continuous r.v is called a uniform distribution when between the end points any two sub intervals of the same length containing X, have the same probability.
f(x)= 1/ b-a a≤ x≤ b
Here a = 0 and b= 10 but we want to know the probability of wait time between 4 minutes and 10 minutes
P (X=x) = (x-a) 1/(b-a)
P(x=4) = (4-0) 1/ 10-0
= 4/10= 0.4
use the coordinates of the labeled points to find the point slope equation of the line (3, -5)
Answer: y + 5 = -3(x-3)
Step-by-step explanation:
Whats 40% as a decimal and just a normal convo between me and my Childhood Bestfriend.
Answer:
0.4
Step-by-step explanation:
40% is 0.4
Remember the tenths places
Hope this help:)
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