Answer:
aₙ = 31n - 5
Step-by-step explanation:
The terms of your sequence are.
26, 57, 88, …
This is an arithmetic sequence, because there is a constant difference of 31 between consecutive terms.
The explicit formula for the nth term of an arithmetic sequence is
aₙ = a₁ + d(n - 1 )
a₁ is the first term, and d is the difference in value between consecutive terms. Thus,
aₙ = 26 + 31(n - 1) = 26 + 31n - 31
aₙ = 31n - 5
The explicit rule for the arithmetic sequence is aₙ = 31n - 5.
In the diagram, x is a negative number and y is a positive number. Select the expression that is a positive.
Answer choices:
x(y)
x - y
y/x
y - x
Answer:
Option 4: y -x
Step-by-step explanation:
Option 1
Multiplying a positive and a negative number will result in a negative number.
For example, if x= -1 and y=5,
x(y)= -1(5)= -5 (a negative number)
Thus, option 1 is incorrect.
Option 2
In this option, we are essentially multiplying -1 to y, a positive number, before adding the result with x.
Since y is a positive number, -y is a negative number and hence x -y (when x is a negative number) will result in a negative number. Let's plug in values into x and y to check this.
For example, x= -2 and y=3.
x -y= -2 -3= -5
Option 2 is thus incorrect.
Option 3
Dividing a positive number with a negative number will result in a negative number.
For example: 6÷(-2)= -3
Option 3 is also incorrect.
Option 4
Subtracting a negative number from a positive number will result in a positive number.
For example: x= -1, y= 8
y -x= 8 -(-1)= 8 +1= 9
As seen from the example above, when the negative number is multiplied to negative 1, a positive sign results.
In summary, when a positive number is multiplied to a positive number, the resulting number is positive.
When a negative number is multiplied to a negative number, the resulting number is positive.
When a positive number is multiplied to a negative number, the resulting number is negative.
+(+)= +
-(-)= +
+(-)= -
This applies to division too.
Khloe invested $11,000 in an account paying an interest rate of 4.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 17 years?
Answer:
i just did this problem its 24,880
Step-by-step explanation:
Which decimal is the equivalent of 6/11
Answer:
0.54
Step-by-step explanation:
A car salesman sold a cat for $23,575, earning a commission of 4%. How much was his commission? '
Answer:
The commission is 943
Step-by-step explanation:
Take the price of the cat and multiply by the commission rate
23575 * 4%
23575 *.04
943
The commission is 943
Whoever answers correctly without adding NO FILES OR LINKS gets brainliest
Answer:
C. 6.75n = 114.75
Step-by-step explanation:
The store collects $114.75, each magazine is 6.75, the number of magazines is shown by n.
Answer: The answer is A.
It is A because you have to divide the total by the cost to find out the amount of magazines purchased.
Solve -3y(y-8)(2y+1)=0
Answer: I think it's 0
please help me on this question it is in the photo file
Answer:
390%
Step-by-step explanation:
We are given the mixed fraction:
3 9/10
Convert to improper fraction
39/10
Converting this to Percentage :
39/10 × 100
= 3900/10
= 390%
Therefore: 3 9/10 as a percentage = 390%
Find the greatest common factor of these three expressions.
20w, 8w, and 28w?
Answer:
4w.
Step-by-step explanation:
Write an equivelant expression using distributive property for these two inequalities
8(−x−12)
5. −8(−x−34y + 72)
Step-by-step explanation:
[tex]8( - x - 12) \\ - 8x - 12 \\ \\ \\ - 8( - x - 34y + 72) \\ 8x + 272y + 576[/tex]
I hope that is useful for you :)
find the surface area! correct gets brainliest!
Answer:
where is the picture i cant see anything except find the surface area! correct gets brainliest!
Step-by-step explanation:
In ΔRST, s = 70 inches, t = 46 inches and ∠R=109°. Find ∠T, to the nearest degree.
Answer:
T = \cos^{-1}(0.890172999145)\approx 27.105\approx 27^{\circ}
T=cos
−1
(0.890172999145)≈27.105≈27
∘
Step-by-step explanation:
The interior volume of a refrigerator is 25 cubic feet. The overall dimensions of the refrigerator are 50 inches by 35 inches by 69 inches. What is the approximate difference between the entire volume of the refrigerator and its interior volume?
Answer:
8725 cubic feet
Step-by-step explanation:
First, you have to figure out the volume of the refrigerator which your equation is:
length x width x height = volume
50 x 35 x 60 = 105,000 cubic inches
then you can transfer either inch to feet or feet to inch.
8750 cubic feet
to 25 cubic feet
So we have the equation 8750 - 25 = 8725 cubic feet
Answer:
The approximate difference between the entire volume of the refrigerator and its interior volume is 44.88 cubic feet
Step-by-step explanation:
What is volume?
Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
Given,
Interior Volume = 25 cubic feet = 43200 cubic inches
The Entire volume of the refrigerator is,
=50*35*69
=120750 cubic inches
Approximate Difference
=120750 - 43200 = 77550 cubic inches = 44.88 cubic feet.
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convert 3.34 as a fraction in its simplest form
Answer:
3 17/50
Step-by-step explanation:
3/4 + (-1/2) + (-2/3) explain me
Answer:
Remove the parentheses, use LCM (least common multiplier), adjust fractions based on the LCM, since denominators are equal, combine the fractions, subtract. Your answer would be: -5/12.
Step-by-step explanation:
Steps to the words I said but in fraction step:
3/4 + (-1/2) + (-2/3)
3/4 - 1/2 - 2/3
9/12 - 6/12 - 8/12
9-6-8/12
-5/12
Mount Ojos del salado is the highest mountain in Chile, with a peak at about 6900 meters above sea level. The Atacama Trench, just off the coast of Chile, is about 8100 meters below sea level (at its lowest point). what is the difference in elevations between mount ojos del salado and the atacama trench?
Answer: 15,000 meters
Step-by-step explanation:
When measuring the difference in elevations between a body that is above sea level and one that is below, you simply take the distances of the bodies above and below sea level and add it up.
From sea level to Mount Ojos is 6,900 meters. Atacama trench is 8,100 meters below. From the peak of Mount Ojos to sea level is 6,900 meters. Then add the distance from sea level to Atacama to find the difference in elevations.
= 6,900 + 8,100
= 15,000 meters
Answer:
15,000 Meters
Step-by-step explanation:
This is geometry please help
Answer:
9
Step-by-step explanation:
mn ~Jk
mn x 5/3 = 15
mn = 15 x 3/5
MM = 9
Does anyone know the answer to this?!
Answer:
x = 10cm
y = 45 degrees
Step-by-step explanation:
oof oof oof oof oof oof
Can someone please help me asap extra brainly points !!!
Answer:
56.52
Step-by-step explanation:
Circumeference Equation=2πr
The volume of a cone is 8003π cubic yards. The height is 8 yards. Find the radius
The volume of a cone is 8003π cubic yards. The height is 8 yards. Find the radius.
Solution:-Height (h) of a cone is 8 yards. (Given)
We have to find the radius (r) of a cone.
Now,
ATQ ,
[tex] \frac{1}{3} [/tex]πr²h = 8003π
[tex] \frac{1}{3} [/tex]r²h = 8003 [ ' π ' is cancelled from both sides ]
[tex] \frac{1}{3} [/tex]r² × 8 = 8003
r² = [tex] \frac{8003 \: × \: 3}{8} [/tex]
r² = [tex] \frac{24,009}{8} [/tex]
r² = 3001.125
r = [tex]\sqrt{3001.125}[/tex]
r = 54.78
The radius of a cone is 54.78 yards. [Answer]What is the area of the figure?
A. 44 sq cm
B. 208 sq cm
C. 192 sq cm
D. 256 sq cm
Answer:
256
Step-by-step explanation:
Answer:
256 cm
Step-by-step explanation:
16 x 4 = 64
16 x 8 = 128
8 x 8 = 64
64 + 64 = 128 + 128 = 256
NEED HELP ASAP!!!!! Someone help me??!??
Answer:
c
Step-by-step explanation:
I think so
ASAP!!! PLEASE HELP ILL GIVE U BRAINEST!
Find the LENGTH of Arc AB.
HERE I FOUND IT
Find the LENGTH of Arc AB.
WILL GIVE BRAINILEST!! 1. Al and Viola Speer were granted an $80,000 mortgage.
At the closing, they will have to pay the closings costs
shown plus real estate taxes of $1,230. What are the
total costs?
Answer:
81230
Step-by-step explanation:
The total cost for the mortgage and the real estate taxes is $81230.
What is a mortgage?
A mortgage is an agreement between an individual and an owner of a property that provides the owner the right to repossess your property if you fail to repay the loan plus interest at the agreed time.
Mortgage loans are used to purchase a property or to take loans upon the value of an existing home you already own.
From the information given:
Al and Viola Speer were granted an $80,000 mortgage.The real estate taxes on the mortgage = $1,230Therefore, the total cost required by Al and Viola to pay for the mortgage is:
= $80000 + $1,230
= $81230
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what is the answer pls help 5' 2" − 2' 3" =
Answer:
2' 11'
Step-by-step explanation:
Answer:
1.83333333333
Step-by-step explanation:
i dunno if these were supposed to be fractions
PLEAS HELP ILL GIVE BRAINLIEST
SHOW WORK OR NO BRAINLIEST
Answer:
Marta spent a total of $34.29
Step-by-step explanation:
Since she bought 3 towels for $8.50 each you would do 3 times $8.50 to get $25.50 for the towels and since she bought 5 washcloths for $1.25 each you would do 5 times $1.25 to get $6.25 then you would add the totals to get $31.75. Then you would find out the tax by finding out what 8% of $31.75 is which would be 2.54. So you would add $2.54 to $31.75 to get $34.29. So the total amount of money that Marta spent is $34.29
3 times $8.50 = $25.50
5 times $1.25 = $6.25
$25.50 + $6.25 = $31.75
What was first the fruit orange or the color orange
And how did the first people kill an animal with what
If a bow then where did they get the string from
Answer:
The orange (fruit) definitely got named first.
In ancient time, people hunt animals with old hunt tools. We can see some examples of old hunting tools.
And if they used bow, then I think they made string from raw materials like tree's branded peels.
Step-by-step explanation:
PLease help!!
The last screen shot is the fourth option!!
Answer:
the answer is A
money spent on shirts 5*15=75
money spent on pants 4*10=40
total money 40+75=m
what is the prime factorization of 693
Answer:
The prime factors of 693 are 3, 7, 11.
Hope this helps!
The prime factorization of 693 can be written as [tex]3^2 * 7^1 *11^1[/tex] where 3, 7, 11 are prime numbers.
What is Prime Factorization?In prime factorization, a number is expressed as a product of its prime factors. A prime number is a number which has exactly two factors, 1 and the number itself.
The process in which we write a number as the product of prime numbers is prime factorization. Prime numbers are the numbers that have only two factors, 1 and the number itself. For example, 2, 3, 5, 7, 11, 13, 17, 19, and so on are prime numbers.
For above given examples,
The prime factorization of 693 can be written as [tex]3^2 * 7^1 *11^1[/tex] . In this case 3, 7, 11 are prime numbers.
Thus, the prime factorization of 693 can be written as [tex]3^2 * 7^1 *11^1[/tex] where 3, 7, 11 are prime numbers.
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Write 3.5 • 4 using words
Answer:
I dont understand if you wanted the answer or just the equation, so I did both.
Three-point five times four
Three-point five times four equals fourteen.
Fourteen
Hope that helps!
If it did, plz mark brainiest, im trying to level up :3
Have a great day!
A bacteria culture initially contains 2000 bacteria and doubles every half hour.
-Find the size of the bacterial population after 100 minutes.
-Find the size of the bacterial population after 10 hours.
Answer:
the size of the bacterial population after 100 minutes is 20,158.7 bacteria
the size of the bacterial population after 10 hours is 2097152000 bacteria
Step-by-step explanation:
Given that
The bacteria contains 2000
It would be double at every half hour
We need to find out the size of the bacteria after 100 minutes & 10 hours
So,
The size of the bacteria after 100 minutes is
= 2000 × 2^(100 ÷ 30)
= 2000 × 10.079
= 20,158.7 bacteria
Now the size of the bacteria after 10 hours is
10 hours = 10 × 60 minutes = 600 minutes
= 2000 × 2^(600 ÷ 30)
= 2097152000 bacteria