The explicit rule for the sequence is Tn = 2n - 1
Given the sequence 1, 3, 5, 7, 9...
The explicit formula for the nth term is expressed as:
[tex]T_n=a+(n-1)d[/tex]
a is the first term = 1
d is the common difference = 3 - 1 = 5 - 3 = 2
n is the number of terms
Substitute the given parameters into the formula to have;
[tex]T_n = 1+(n-1)(2)\\T_n=1+2n-2\\T_n=2n-1[/tex]
Hence the explicit rule for the sequence is Tn = 2n - 1
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Answer:
1st: 1+(k-1)2
2nd: 399
3rd: C
4th: 40,000
what year was it, exactly 4 centuries before 1965?
Based on the number of years in a century, we can calculate that the 4 centuries before 1965 was 1565.
A century refers to a period of 100 years.
If we are looking for a period of 4 centuries therefore, this would be:
= 4 x 100
= 400 years
4 centuries before 1965 would therefore be:
= 1965 - 400
= 1565
In conclusion, the answer is 1565.
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how many kilograms of pure water is to be added to 100 kilograms of a 30% saline solution to make it a 10% saline solution
Answer:
200 kg
Step-by-step explanation:
If w is the amount of water added, then the concentration of the solution is ...
salt/solute = 100(0.30)/(100 +w) = 0.10
30 = 10 +0.10w . . . . . simplify
20 = 0.10w . . . . . . . . subtract 10
20/0.10 = w = 200 . . . . divide by 0.10
200 kg of water must be added to dilute the solution to 10%.
The density of silver is 9 g/ cm3ale members of a sports club is 7 : 3. The total number of members of the group is 250. How many members are female? How many members are male?
Answer:
648
Step-by-step explanation:
2=2
Find the area of the similar
figure.
18cm
15cm
Area = 50cm2
Area = [?]cm2
-
Answer:
270
Step-by-step explanation:
1.) solve for x: 4x+9=25
2.) solve for x: 5x+12=62
Answer:
1. x=4
2. x=10
Step-by-step explanation:
4x+9=25
Subtract 9 from both sides.
4x+9-9=25-9
>>4x=16
Then, divide 16 by 4.
x=16/4
>>x=4.
5x+12=62
Subtract 12 from both sides.
5x+12-12=62-12
>>5x=50
Divide 50 by 5.
x=50/5
x=10.
Hope this helps! Have a great day!
Short response: the table shows the balance of a student bank account at various times estimate how much money is in the student bank account in week 6. justify your answer. HELP ME PLS.BRAINLIEST
Answer: It would be 102
Step-by-step explanation:
. You want to buy a book worth Php 220.50. You can buy it only by making a sacrifice of not buying a soft drink every day. If soft drinks in your school cost Php15.75, how many days do you need to save before you can buy the book? * A. 13 B. 14 C. 15 D. 16
Answer:
B-14
Step-by-step explanation:
Divide 220.50 by 15.75 and you will get 14
Hope it can help you lovelots
Find the volume of the figure. Round your final answer to the nearest hundredth if necessary.
Answer:
Look at the photo I have sentElisha is renting a limo to take her friends out for her birthday. The limo company charges a reservation fee of $129 and $65 per hour. Her total bill was $584. Write and solve an equation to find the number of hours, h, Elisha rented the limo
Find the perimeter. Simplify the answer.
Answer:
21u-26
Remember to add like terms
PLSS HELP ASAP ILL GIVE BRAINLIEST PLS THANKS
Name
Lily Daku November 17, 2021 pec
Common Core Standards Practi
Selected Response
co
1. Find the slope of the line that
passes through the points (-1,9)
and (3, 17).
simplify 1 by 4 plus 1 1 by 4 plus 1 2 by 5
[tex]5 \frac{2}{5} [/tex]
Hope it helps.
Do comment if you have any query.
Answer:
5 2/5
Step-by-step explanation:
5x - 3 + 7y
x= 3 y= -7
CAN SOMEONE HELP ME PLEASE ASAP!
The width is 21 centimeters.
Answer:
the answer is 21 cm
Step-by-step explanation:
as doing by formulae
PLEASE HELP ITS URGANT WILL MAKE BRAINLIEST PLEASE HELP MEEE
Answer:
A is the answer
Step-by-step explanation:
look at the attached image
Which shows the equation below written in the form ax2 + bx + c = 0?
x + 9 = 4(x-1)2
A. 4x2 - 7x+ 13 = 0
B. 4x2 - 9 x 13 = 0
C. 4x2 - 7x- 5 = 0
D. 4x2 - 9x-5= 0
SUBMIT
Answer: D. 4x2-9x-5=0
Step-by-step explanation:
helppp,no links or spam
Answer: 6.45 x 10^10
Step-by-step explanation:
Because 10^5 and 10^4 both have 10, we can add the exponents to get 10^9.
Multiplying 7.5 and 8.6 gets you
7.5 * 8.6 = 64.5
We can move the decimal up a place to get 6.45 and add another power to 10^9 to get 10^10
Your final answer should be 6.45 x 10^10
Answer:
C 6.45x 10 to the power of 10
Step-by-step explanation:
10 to the power of 5 is 100,000. 7.5x100,000 is 750,000.
10 to the power of 4 is 10,000.
10,000x8.6 is 86k
now we do 750,000x86,000 which is 64,500,000,000
10 to the power of 10 is 10 billion times 6.45 is 64,500,000,000
HELPPPPP ASAP!!!! I’m on a limit
Answer:
look at the photo.........aidan runs every morning before he goes to work.on Sunday,he ran 0.54km, on Monday he ran 1.25km,on Tuesday he ran 1.50km, on Wednesday he ran 1.75km and on Thursday he ran 2.30km.His goal was to run10km in these five days.dis aidan meet his goal?how long did he run?estimate and find the solution.
Answer:
no
Step-by-step explanation:
0.54 rounded to the nearest one is 1
1.25 is 1
1.50 is 1
1.75 is 2
2.30 is 2
all that added would give you 7 which is less than 10
the exact number is also 7.34
what is the difrence between domain and range
Answer:
Domain is the set of all possible input values is any relation. It means the output value in a function depends upon each member of domain. Domain value vary in different mathematical problems and depends upon the function for which is it solved. If we talk about cosine, then domain is the set of all possible real numbers either above the 0 value or below the 0 value, it could also be 0. While for square root, the domain value could not be less than 0, it should be minimum 0 or above 0. In other words, you can say that domain of square root is always 0 or positive value. For complex and real equations, the domain value is a subset of complex or real vector space. If we want to solve a partially differential equation for finding the value of domain, then your answer should lie within three dimensional space of Euclidean geometry.
Step-by-step explanation:
If you want to save $4500 to go to the Super Bowl, how much will you need to invest in an account now with 6.25% APR, compounding continuously, in order to reach your goal in 4 years? (Round to the nearest dollar)
-2+3y=9 ; y=2x+7 i need help
Answer:
Here is your 2 answers.
Step-by-step explanation:
First question: -2+3y=9
step 1 simplify first so now it's 3y-2
step 2 add both sides by 2 now its 3y=11
step 3 divide both sides by 3 so on the left both sides should cross out leaving only y=11/3 so this is your first answer
Second question:
I attach the link this question acquires a graph to plot I believe so here is the answer for the second one hope I help please mark brainliest if I did! <3
Find the equation of the line with slope m = 4/5 that contains the point (10, 11)
Answer:
Point slope : y = 4/5(x-10)+11
Slope intercept : y = 4/5x + 3
Step-by-step explanation:
Use Point slope
y = 4/5(x-10)+11
Simplify for slope intercept
y = 4/5x + 3
Is the system of equations consistent and independent,
consistent and dependent, or inconsistent?
y= -1/2x +3
y= 4x + 2
Select the correct answer from the drop-down menu.
Choose
Answer:
Consistent and independent
Step-by-step explanation:
If two lines intersect, then the following things are true.
1. they have different slopes.
2. one solution.
3. The system of equation is consistent and independent
A right triangle is formed using point C and H as two of the vertices. Which point best represents the coordinates for point X, the third vertex of a triangle?
Answer:
um probably something like CX and HX
Step-by-step explanation:
no graph
Define suitable populations from which the following samples are selected: (a) Persons in 200 homes in the city of Richmond are called on the phone and asked to name the candidate they favor for election to the school board. (b) A coin is tossed 100 times and 34 tails are recorded. (c) Two hundred pairs of a new type of tennis shoe were tested on the professional tour and, on average, lasted 4 months. (d) On five different occasions it took a lawyer 21, 26, 24, 22, and 21 minutes to drive from her suburban home to her midtown office.
Using sampling concepts, it is found that the suitable populations are:
a) All Richmond residents.
b) Results of all coin tosses.
c) All pairs of the new type of tennis shoe.
d) The average time on all days is takes to drive from her suburban home to her midtown office.
An example of sampling is asking a sample of 500 Buffalo Bills fans if they think their offense should run the ball more.
The population is all Buffalo Bills fans.Hence, following the example, first identifying the sample and then expanding it for the population the items are answered.
Item a:
Sample of 200 Richmond homes, hence, the population is all Richmond residents.
Item b:
Sample from the results of 100 coin tosses, hence the population is the results of all coin tosses.
Item c:
Sample from 200 pairs of the new tennis shoe, hence the population is all the pairs of this new tennis shoe.
Item d:
Sample for the time it took to drive from her suburban home to her midtown office of 5 days, hence, the population is the time for all days.
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Find the length x. Round to the nearest tenth.
A.) 3.4
B.) 9.4
C.) 3.6
D.) 6.6
Answer:
A
Step-by-step explanation:
Mark brainliest please
O 8) Translate the point and give the resulting coordinates.
(-9,6); (5,-2)
Answer:
- 4/7
Step-by-step explanation:
The resulting point is 5 units right and 2 units down, and the resulting coordinates are (- 4, 4).
Used the concept of coordinate that states,
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
The coordinate is (- 9, 6) and (5, - 2).
Now the value of the resulting coordinate is found as,
(- 9 + 5, 6 - 2)
= (- 4, 4)
Therefore, the resulting point is 5 units right and 2 units down, and the resulting coordinates are (- 4, 4).
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100 if u get this right!
Answer:
●y = mx + c
c = intercept
y = 9x + 2
intercept c =2