6. Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n)
12 + (n-1)(3)
3,24, 27
0,9,27
12,24, 42
12, 21, 39
Answers
Answer:
[tex] A_1 = 12[/tex]
[tex] A_4=21[/tex]
[tex] A_{10}= 39[/tex]
Step-by-step explanation:
[tex]A_n = 12+(n-1)(3) \\ \\ plug \: n = 1 \\ A_1 = 12+(1-1)(3) \\ = 12 + 0(3) \\ = 12 + 0 \\ \red{ A_1= 12} \\ \\ plug \: n = 4\\ A_4 = 12+(4-1)(3) \\ = 12 + 3(3) \\ = 12 + 9 \\ \purple{ A_4= 21} \\ \\ plug \: n = 10\\ A_{10} = 12+(10-1)(3) \\ = 12 + 9(3) \\ = 12 + 27 \\ \orange{ A_{10}= 39} \\ \\ [/tex]
Related Questions
I have a question what is 70% of 80
Answers
Answer:
56
Step-by-step explanation:
80 x 0.7 = 56
The answer is 56. Your welcome
4(x + 2) = 2 (x – 6)
What value of x makes the equation true?
A. 1
B. -7
C.-10
D.8
Answers
4x + 8 = 2x - 12
Add 12 to both sides
4x + 20 = 2x
Subtract 4x to both sides
20 = -2x
Divide by -2, x = -10
The answer is C. -10
Six Sigma refers to achieving a process variability so small that the design specifications represent ___ standard deviations above and below the process mean.
Answers
Answer:
six
Step-by-step explanation:
Six sigma is defined as the method or a set of techniques that provides the provides the organization tools and techniques to improve the capability and and be efficient of their business process. It is a concept of process improvement.
It refers to the achieving of a process variability very small so that the design specification represents six standard deviations which is above as well as below the process mean.
A snake dives towards deeper water at a rate of 18 inches per second. If the snake continues at this rate for a total of 9 seconds, which expression represents this situation?
Answers
Can someone help me pls
Answers
Answer:
(-0.5, 0)
Step-by-step explanation:
The easiest way to do this question is by going to the left 0.5 and seeing how far you need to go up or down.
What is the first step in isolating the variable in this equation?
(2) p + 75 = 100
D
Subtract 75 from both sides.
B
Subtract 1/2 from both sides.
с
Divide both sides by 75.
D
Divide both sides by 1/2
Answers
Answer:
Subtract 75 from both sides.
What's the nth term of the following question:
−
5
,
−
7
,
−
9
,
−
11
,
−
13
Answers
Answer:
-21
Step-by-step explanation:
-13 +(-2) = -15
-15+(-2) = -17
-17+(-2 )=- 19
-19+ (-2)= -21
If Jose has a car with a mass of 55,000 kg and it is acted upon with a force of 200 Newtons. What is the acceleration?
Answers
Answer:
275 m/s2
Step-by-step explanation:
I know because I had this question in a test and got it correct.
Given the value of the force applied and the mass, the acceleration of Jose's car is 0.0036m/s².
What is force?A force is simply referred to as either a push or pull of an object resulting from the object's interaction with another object.
From Newton's Second Law, force is expressed as;
F = m × a
Where is mass of object and a is the acceleration
Given the data in the question;
Mass of the rock m = 55000kgForce F = 200N = 200kgm/s²Acceleration a = ?We substitute our given values into the expression above.
200kgm/s² = 55000kg × a
a = 200kgm/s² ÷ 55000kg
F = 0.0036m/s²
Given the value of the force applied and the mass, the acceleration of Jose's car is 0.0036m/s².
Learn more about force here: brainly.com/question/27196358
#SPJ2
Alani is the head baker at Patty Cakes Bakery.
She uses 8.75 pounds of sugar each day making
cupcakes. How many pounds of sugar would she
use over 7 days?
1. After the cupcakes are decorated, Alani packages
them to be sold. Each cupcake costs $4.25. If a
customer ordered 9 cupcakes, how much would
it cost?
ANSWER BOTH QUESTIONS AND WHOEVER DOES IT FIST GETS BRAINIEST
Answers
Answer:
1).Sugar used in 7 days = 61.25 pounds
2). Total cost of 9 cupcakes = $38.25
Step-by-step explanation:
1). Alani uses 8.75 pounds of sugar each day.
So, sugar used in 7 days = Amount of sugar used in one day × Number of days
= 8.75 × 7
= 61.25 pounds
2). Since, each cupcake costs $4.25
Number of cakes ordered = 9
Total cost of 9 cupcakes = Cost of each cupcake × Number of cupcakes
= 4.25 × 9
= $38.25
There are 57 balls in a bucket. The balls are numbered from 1 to 57. One ballis randomly selected from the bucket.
What is the probability that ball #54 is chosen?
Answers
Answer:
1/57
Step-by-step explanation:
Two taxi services charge different rates. Taxi A charges $0.70 per mile
traveled plus an initial charge of $3.00. Taxi B charges $0.90 per mile
traveled. The situation is modeled by this system, where x is the number of
miles traveled and y is the charge for that distance, in cents:
y = 70x + 300
y = 90x
How many miles must each taxi travel for the charges to be equal, and what
is the charge for that distance?
A. Each must travel 9 miles, and the charge is $8.10.
B. Each must travel 10 miles, and the charge is $10.00.
C. The charges will never be equal no matter how far each travels.
Answers
Answer:
none of the above
Step-by-step explanation
70x + 300 = 90x
300 = 20x
15 = x
Answer:
each must travel 15 miles, and the charge is $13.50
Step-by-step explanation:
a8ex
A scale on a blueprint drawing of a house shows that 6 centimeters represents 3 meters.
What number of centimeters on the blueprint represents an actual distance of 27 meters?
Answers
Answer:
Step-by-step explanation:
HELP ME 50 POINTS RN.
Answers
Answer:
the last one. hope I help u
Answer:
S<30
need explain that?
There are 30 students in Ms. Prema's history class. 18 of these students turned in an extra credit project at the end of the semester.
Answers
Answer:
12 students didnt turn in a extra credit project at the end of the semester.
Step-by-step explanation:
A principal of $6000 is invested in an account paying an annual rate of 5%. Find the amount in the account after 4 years if the account is compounded semiannually, quarterly, and monthly. (a) The amount in the account after 4 years if the account is compounded semiannually is $ nothing. (Round to the nearest cent.)
Answers
Solution :
Given :
Principal amount deposited, P = $ 6000
Rate of interest, r = 5%
Number of years, t = 4 years
When the deposited amount is compounded semiannually, i.e. n = 2
Therefore,
Future value,
[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]
[tex]$FV = 6000\left( 1 +\frac{0.05}{2}\right)^{2 \times 4}$[/tex]
[tex]$FV = 6000 \times (1.025)^8$[/tex]
= 6000 x 1.2184
= 7310.4
Therefore, after 4 years there will be $ 7310.4 in the amount when compounded semi annually.
When the deposited amount is compounded quarterly, i.e. n = 4
Therefore,
Future value,
[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]
[tex]$FV = 6000\left( 1 +\frac{0.05}{4}\right)^{4 \times 4}$[/tex]
[tex]$FV = 6000 \times (1.0125)^{16}$[/tex]
= 6000 x 1.219889
= 7319.334
Therefore, after 4 years there will be $ 7319.334 in the amount when compounded quarterly.
When the deposited amount is compounded monthly, i.e. n = 12
Therefore,
Future value,
[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]
[tex]$FV = 6000\left( 1 +\frac{0.05}{12}\right)^{12 \times 4}$[/tex]
[tex]$FV = 6000 \times (1.0041667)^{48}$[/tex]
= 6000 x 1.22089
= 7325.34
Therefore, after 4 years there will be $ 7325.34 in the amount when compounded monthly.
im really slow help please
Answers
2^3
a car was purchased last year for $28,500. now its value is $25,510. at what rate is the car's value depreciating each year?
Answers
Answer:
The car's value is depreciating by $2,990 per year.
Step-by-step explanation:
To solve this problem, we just need to subtract the cars value this year, or $25,510, from the car value of last year, or $28,500.
28,500 - 25,510 = $2,990
Since the car value was $2,990 more just last year, the car's value is depreciating by $2,990 per year.
Hope this helps! :D
find the slope of a line that intersects the points (-2,6) and (4,-4)
hurry i’ll give 20 points
Answers
First find the slope of the line connecting these two points:
6-5
m = ------------ = -1/2
-4+2
Substitute this slope into y = mx + b: y = (-1/2)x + b.
Next, subst. 5 for y and -2 for x, and find b:
5 = (-1/2)(-2) + b, or 5-1=b. Then b = 4, and
the equation of the line is y = (-1/2)x + 4.
Which is a correct expansion of the following expression?
18(x – 3) – 26
A. 18x – 80
B. 18x + 80
C. 18x + 28
D. – 62x
Answers
Answer:
A. 18x – 80
Step-by-step explanation:
18(x - 3) - 26
18x - 54 - 26
18x – 80
Because first you will expand the brackets, for this you will multiply everything that is outside the bracket to what’s inside (18 times x) which will give you 18x and (18 times -3) which will give you -54
Now your equation will be
18x -54 - 26
Next you will workout the liked terms with are -54 and -26, since they are both negative just add them together and keep the sign.
To get your final answer
18x -80
which COULD be the new coordinates of point D?
Answers
Answer:
It is B
Step-by-step explanation:
4, -4 is longer than 2 units
-2, -2 is longer than 2 units
-1, -4 is longer than 2 units
John has 14 coins that are nickels and dimes. He has $.95 altogether. How
many of each coin does John have?
Answers
Answer:
7 nickels the rest are dimes
Step-by-step explanation:
9 times 5 cents= 45
5 times 10 cents=50
A number is selected from the set (1, 2, 3, 5, 15, 21, 29, 38,500). If equal elemental probabilities are assigned, what is
the probability that the number chosen is either less than 29 or odd?
Answers
Answer:
7/9 is the answer
Step-by-step explanation:
brainliest for the correct answer
Answers
Answer:
2250 m
Step-by-step explanation:
30 cm = 0.3 m
1 : 75 :: 0.3 : x
Product of extremes = product of means
1 *x = 75 * 0.30
x = 75 * 0.30
x = 22.5 m
Answer:
22.5 m
Step-by-step explanation:
Convert to meters
.3 / x = 1/75
multiply .3 by 75 to get 22.5 m
Use this rule: y = -x + 4
What number are you multiplying by?
Answers
Answer:
the answer is two because if it is 4 then you you are multiplying by 2
In 8 divided by 1/5 the number 8 is the?
Answers
Answer:
Dividend
Step-by-step explanation:
Dividend ÷ Divisor = Quotient
Answer:
Dividend
Step-by-step explanation:
For his long distance phone service, Eric pays a $3 monthly fee plus 11 cents per minute. Last month, Eric's long distance bill was $21.59. For how many minutes was Eric billed?
Answers
Answer:
169 minutes
Step-by-step explanation:
Hope you have a great day and good luck for tests and upcoming exams.
-8(4+1)
Giving brainlist to the person who gets it right
Answers
Answer:
-40
Step-by-step explanation:
I think that's the answer
Answer:
-32
Step-by-step explanation:
solve with order of operations (PEMDAS)
-8(4+1)
-8(4)
-32
please help i need this done by the next hour
The sector of a circle is shown below. It has a radius of 10 centimeters and a central
angle of 51 degrees. Find to the nearest tenth in both cases:
(a) the length of AB in centimeters(b) the area of the sector in square centimeters
Answers
Answer:
1. 9.8 cm
2. 44.5 cm^2
Step-by-step explanation:
1. To find the length of arc AB, we use the formula for the length of an arc
Mathematically, that will be;
theta/360 * 2 * pi * r
theta is the central angle which is 51
r is the radius which is 10 cm
So we have
51/360 * 2 * 22/7 * 10 = 8.9 cm
2. The area of the sector
we use the formula for the area of a sector here,
That is;
theta/360 * pi * r^2
51/360 * 22/7 * 10 * 10
= 44.5 cm^2
Each of the numbers 0, 2, 4, 6, 8, 10, 12, and 14 is written on a separate sheet of paper and placed into a box. One piece of paper is selected at random. Find the probability that the piece of paper selected contains the number 8 or a number less than 12.
Answers
Answer:
For the second, all numbers less than 12, that would be 87.5%
Step-by-step explanation:
There are eight numbers. 100 divided by 8 is 12.5. 12.5 multiplied by 7 is 87.5.
Problem
Choose the inequality that represents the following graph. 32 points
Answers
Answer:
D
Step-by-step explanation:
cause its going bigger, but it also has 0 in the line so it could have 0 in it. So its D