To get the 2nd term, add 7 to the first term: 4 + 7 = 11
To get the 3rd term, add 7 to the second term: 11 + 7 = 18
Put another way, add 7 twice to the first term: 4 + 2*7 = 18
Similarly, get the 4th term by adding 7 to third term, or add 7 three times to the first term: 18 + 7 = 25, or 4 + 3*7 = 25.
Following the pattern, the n-th term of the sequence is obtained by adding n - 1 copies of 7 to the first term. So the 55th term is 4 + 54*7 = 382
A new car is purchased for 20000 dollars. The value of the car depreciates at 11% per year. To the nearest tenth of a year, how long will it be until the value of the car is 5700 dollars?
The number of years before the new car becomes $5700 is 11.4 years.
How long would it take the value of the car to become $5700?Depreciation is when the value of an asset declines with the passage of time.
Number of years = (In FV / PV) / r
r = rate of depreciation FV = future value of the carPV = purchase value of the car(IN 5700 / 20,000) / 0.11 = 11.4 years
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For the following right triangle, find the side length x.
15
Step-by-step explanation:
Pythagorean Theorem
a^2+b^2=c^2
8^2+15^2=c^2
64+225=c^2
289=c^2
Now square both sides
x=17
Answer:
x = 17
Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]
[tex]c^{2} = 8^{2} + 15^{2}[/tex]
[tex]c^{2} = 64 + 225[/tex]
[tex]c^{2} = 289[/tex]
[tex]\sqrt{c^2} = \sqrt{289}[/tex]
[tex]c = 17[/tex]
What decimal is equivalent to 8/40?
Answer:
0.20
Step-by-step explanation:
8 divided by 40 equals 0.2
0.20 is the decimal is equivalent to 8/40.
What is decimal?A group of numbers between integers on a number line are known as decimals. They are merely an additional mathematical representation of fractions. Decimals allow us to express measurable quantities like length, weight, distance, money, etc. with greater accuracy. Integers, also known as whole numbers, are represented to the left of the decimal point, while decimal fractions are represented to the right of the decimal point. The next place, which is (1/10)th or tenth place value, is (1/10) times smaller if we move immediately from the first place.
Given:
Fraction = 8/40
Now, simplifying the given fraction
8/40
= 8/( 8x 5)
= 1/5
=0.20
Hence, 0.20 is the decimal is equivalent to 8/40.
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What is the 100th term of this sequence:
an=2n-5
The 100th term of the sequence is 195.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8, 10 is an arithmetic sequence.
We have,
a(n) = 2n - 5
For n = 100,
a(100):
= 2 x 100 - 5
= 200 - 5
= 195
Thus,
The 100th term is 195.
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I need halp with one is it?
Answer: 66ft
Step-by-step explanation:
9 x 5 = 45 + 7 x 3 = 21
45+21=66
Answer:
I am pretty sure it is 66 ft
Step-by-step explanation:
If u just do the top 2x3= 6 and then u multiply 5x12=60 then you add 6 and 60 which is 66
Please help ill give brainliest
Write and solve equations for the following scenarios:
5) angles 1 and 2 are supplementary. The measure of angle one is 64 degrees larger than the measure of angle 2.
6) The complement of an angle is 20 degrees more than the measure of the angle itself.
7) two angles are complementary. One angle is 49 degrees. What is the measure of the other angle?
Answer:
7) =41 (5) Angle one is 154 and Angle two is 26 or atleast what it should be
Step-by-step explanation:A complementary angle is 90 degrees in total,so you do 90-49=41. I do not know about question 6 tho.
Please help thank you!!!!!!
Please help me if not that’s ight
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
HELP PLS QUICK MIGHT GIVE BRAINLIST ONLY IF 2 PEOPLE ANSWER!
Answer:
area = 10 squares units
if points changes
plsss help ASAP !! giving the brainlest answer to whoever can help me out?? plsss
Answer:
The 2nd one
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
because when you work it out it becomes that,
have a spectacular day
The difference of two numbers is 14.Twice the smaller is 6 more than the larger.Find the numbers.
help me pleaseeeee !
Answer:
81 Degrees
Step-by-step explanation:
The triangles are congruent and a triangle is 180 degrees total. So, 57+42=99. 180-99=81
So the answer is 81 degrees.
bens parents gave him 20 dollars to buy food from convienience store. Ben is a simple person.He wants to buy one bottle of peach tea that cost .99 dollars and spend the rest of the money to buy as many takis as he can(each bag cost 2.24 dollars)
Write an inequality that helps determine the number of bag of takis ,t, that ben can buy
Answer:
to eat a healthier meal
Step-by-step explanation:
hope this helps :)
plz give me brainlist
In the graph above, what's the distance between (-1,-4) and (-1,5)?
A) 1 unit
B) 9 units
C) -9 units
D) 7 units
1:44 AM
Parts of the Arctic have 21 hours of daylight each summer day. What
fraction of the day is dark? Show your work. Write your answer in lowest
terms.
ok so can someone please answer because this is for a test
Answer:Parts of the Arctic have 21 hours of daylight each summer day. What fraction of the day is dark? Show your work. Write your answer in lowest
terms.
Step-by-step explanation: 24 hours
Day Length. Day length varies with the time of year and the latitude at which you are situated. Because of the earth's tilt, areas above the Arctic Circle receive 24 hours of sunlight each summer, but 24 hours of darkness each winter.
I need to know 2, 3, and 4.
Answer:
Step-by-step explanation:
Let the equation of the line 'a' is,
y = mx + c
Here, m = slope of the line
c = y-intercept
For line 'a',
Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
m = [tex]\frac{10}{16}[/tex]
m = [tex]\frac{5}{8}[/tex]
y-intercept = 20
Therefore, equation of the line 'a' is,
y = [tex]\frac{5}{8}x+20[/tex]
Similarly, equation of the line 'b' is,
y = m'x + c'
Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
m' = [tex]\frac{20}{16}[/tex]
m' = [tex]\frac{5}{4}[/tex]
y-intercept = 0
Therefore, equation of the line is 'b' is,
y = [tex]\frac{5}{4}x[/tex]
1). Line 'b' represents a proportional relationship → FALSE
2). The constant of proportionality of y to x for line 'a' is [tex]\frac{1}{2}[/tex] → FALSE
3). The ratio of y-coordinate to x-coordinate of one of the points on line b is 25 : 8 → FALSE
4). let a passes through the point [tex](1,\frac{5}{4})[/tex] so the constant of proportionality is [tex]\frac{5}{4}[/tex] → TRUE
Type your answer as a mixed number
4 times as much as the sum of 1/5 and 2/3
Answer: 3 7/15
Step-by-step explanation: You first do 1 /5 plus 2/3.But they don't have the same denominator so you make it the same which you can make it to 15 so you make both denominator of 1/5 and 2/3. So 1 /5 change to 3/15 and 2/3 change to 10/15.Now add 3/15 to 10/15 which is 13/5.After that you do 4 times 13/5.But change 4 to a fraction to make it easy which is 4/1.Now multiply 4/1 by 13/5 which gives you 52/15 .Finally change 52/15 to a mixed number which is 3 7/15.
Hope it helps and look at pic below to see the steps :)
Five family members are going to a play. A service charge of $2 is added to the cost of each ticket. The family is willing to pay $250 or less for the five tickets. What is the greatest amount the family is willing to pay for each ticket? PLEASEE HELPPP ME
250 ÷5 = 50
$50
Hope this helps!
A large van is being used for a picnic. There will be 8 people riding in the van, and there are 8 seats in the van (one of which is the driver's seat). One of the 8 people will have to drive, but only 4 of the people are licensed to drive the van. In how many different ways could the people seat themselves in the van so that they have a licensed driver
Answer:
The people can seat themselves in 20160 different ways.
Step-by-step explanation:
Arrangements of n elements:
The number of arrangements of n elements is given by the following formula:
[tex]A_{n} = n![/tex]
In this question:
For the first seat, that is, the driver seat, 4 possible people can sit.
For the remaining 7 seats, the number of ways in which the people can sit is an arrangement of 7 elements. So
[tex]T = 4*7! = 4*5040 = 20160[/tex]
The people can seat themselves in 20160 different ways.
The probability distribution for a
random variable x is given in the table.
-10
-5
0
5
10
15
20
Probability
.20
.15
.05
.1
.25
.1
.15
Find the probability that x = -10
Answer:
.20
Step-by-step explanation:
According to what are written in the table the probability for x=-10 is .20
The probability distribution at x= -10 is 0.20.
What is Probability distribution?A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.
Given:
We have table as,
x -10 -5 0 5 10 15 20
Probability 0.20 0.15 0.05 0.10 0.25 0.10 0.15
So , we have to find probability that x = -10 then by looking at table the corresponding value to x= -10 the probability is 0.20.
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STD 10
maths
If the roots of the equation 9x2 – (2k – 5)x – 25 = 0 are additive inverse ( opposite),
then k = ………… .
(a) 0 (b) 1 (c) -5/2 (d) 5/2
Answer:
k = 5/2
Step-by-step explanation:
.....................
Camden is going to invest $600 and leave it in an account for 12 years.
Assuming the interest is compounded continuously, what interest rate, to the
nearest hundredth of a percent, would be required in order for Camden to
end up with $920?
Answer:
zjzjzjznnznzkznnznzidddx
Answer:
3.56
Step-by-step explanation:
just did it on delta math
Please answer each question truthfully or I will report you
Answer:
1. 17.6
2. 8.8
3. 4.79
4. 3.92
Answer:
33: 17.6
34: 8.8
35: 4.79
36: 3.92
Step-by-step explanation:
Please note that threatening people isn't the best way to get them to help! Thx!
What is the 3rd quartile in the following data set? You may want to draw a box & whisker plot
to find the 3rd quartile. *
(5 Points)
{5, 16, 12, 3, 20, 15, 8)
16
12
15
5
Answer:
16
Step-by-step explanation:
Arrange date in order
3,5,8,12,15,16,20
find median in this case its 12 also khown as 2nd quartile know find the themedian of data that is on the right right of median or 2nd Quartiles That will be the 3rd quartile...
FREE BRAINLIST NEED HELP ASAP
(2x - 3)2 + 5(3 - 2x) - 14
Answer:
-6x-5
Step-by-step explanation:
(2x - 3)2 + 5(3 - 2x) - 14
Distribute
2x*2 -3*2 +5*3 -5*2x -14
4x -6 +15 -10x -14
Combine like terms
4x -10x -6 +15-14
-6x -5
Choose all answers that apply.
Answer:
It should be C
Step-by-step explanation:
You want to cancel out the x variables
The measure of an angle is 149.5°. What is the measure of its supplementary angle?
Answer:
30.5°
Step-by-step explanation:
Supplementary angles add up to 180°. You know one angle is 149.5°, so you can find the other angle.
Measure of its supplementary angle = 180° - 149.5°
= 30.5°
b) The radius of a bicycle wheel is 50cm. In one-ninth of a second, it turns through 80°
about its center, which is fixed. How many kilometers does a point on the rim of the
wheel travel in one hour?
Answer:
Given data:
Radius r = 50cm
Time taken by the wheel to turn 80 degree = 1/9 seconds
= > In one second, wheel turns 720 degree
We know that one revolution is 360 degree
Therefore in one second, it takes 2 revolutions
In one hour i.e. 3600 seconds, it takes 7200 revolutions
Distance travelled by the wheel in one revolution is equal to the circumference of the wheel.
Distance travelled in one revolution = 2 π r = 2 π x 50 = 100 π cm
Distance travelled in one hour i.e. for 7200 revolution = 720000 π cm
So, distance travelled by the point on the rim of the wheel in an hour = 7.2 π km = 22.6 km
Step-by-step explanation:
Which expression is equivalent to 6x - 3y?
2 (3x - 2y)
3 (2x - y)
-2 (3x - 2y)
-3 (2x - y)