The first two numbers in a sequence h are h(1) = 2 and h(2) = 6.
1. If h is an arithmetic sequence, write a definition for the nth term of h. Explain
or show your reasoning.
2. If h is a geometric sequence, write down a definition for the nth term of h. Show reasoning
Answer:
Step-by-step explanation:
Given the first two numbers of a sequence as 2, 6...
If it is an arithmetic difference, the common difference will be d = 6-2 = 4
Formula for calculating nth term of an ARITHMETIC sequence Tn = a+(n-1)d
a is the first term = 2
d is the common difference = 4
n is the number if terms
Substituting the given values in the formula.
Nth term Tn = 2+(n-1)4
Tn = 2+4n-4
Tn = 4n-4+2
Tn = 4n-2
2) If the sequence us a geometric sequence
Nth term of the sequence Tn = ar^(n-1)
r is the common ratio
r is gotten by the ratio of the terms I.e
r = T2/T1
r = 6/2
r = 3
Since a = 2
Tn = 2(3)^(n-1)
Hence the nth term of the geometric sequence is Tn = 2(3)^(n-1)
Given that f(x) = 2x - 2 and g(x) = 5x. Find the value of f(0) + g(3).
Answer: 13
Step-by-step explanation:
f(0)=2(0)-2
f(0)=-2
g(3)=5(3)
g(3)=15
-2+15=13
Hope this helps!
Answer:
Step-by-step explanation:
f(0) = 2(0) - 2 = 0 - 2 = -2
g(3) = 5(3)= 15
-2 + 15 = 13
Can someone please help me with this question?
Answer: (3,2)
Step-by-step explanation:
He repartido mi colección de canicas entre mis tres amigos. A thales le he dado 1/5 del total, a arquimedes un 1/3 del resto y por último a pitagoras le he regalado las 16 canicas que me quedaban
Answer:
Ok, supongamos que en total hay N canicas.
1/5 de esas canicas se le dieron a Thales.
Entonces el resto ahora es:
1 - 1/5 = 4/5.
1/3 de esas canicas se le dieron a Arquimedes.
Entonces Arquimedes recibe:
(1/3)(4/5) = 4/15 de las canicas totales.
El resto, que eran 16, se le dieron a Pitagoras.
Ahora, las dos primeras entregas fueron:
1/5 + 4/15 = 3/15 + 4/15 = 7/15.
El resto seria:
1 - 7/15 = 8/15.
Y sabemos que el resto es igual a 16 canicas, entonces tenemos que:
(8/15)*N = 16.
De aca podemos calcular el numero total de canicas.
N = 16*(15/8) = 30
Esto quiere decir que inicialmente hay 30 canicas.
Thales recibe 30*(1/5) = 7 canicas.
Arquimedes recibe 30*(4/15) = 8 canicas.
Pitagoras recibe 16 canicas.
HELP ME WITH THIS I NEED TO ANSWER IT ASAP
Answer:
e 125x
f 125 x 12 =150
Step-by-step explanation:
Find the distance between points (-1,-4) and (2,2)
Answer:
5
Step-by-step explanation:
Maya is comparing ride-sharing company prices. Company M charges $1.75 per mile driven and one-time trip fee of $5. Company N charges $2.50 per mile driven and a one-time trip fee of $3. Which inequality can be used to find x, the minimum number of miles driven so that the total cost at Company M is less than the total cost at Company N? 1.75x+5 2.5x+3 1.75+5x 2.5+3x
Answer:
1.75x+5<2.5x+3
Step-by-step explanation:
I have a few questions so if you can answer all correct I’ll mark brainliest!
A toy car costs $60. It is reduced by 10% in a sale. How much
does it cost in the sale?
I have $78. I spend $45 on some CDs and $12 on a t-shirt. How much money is left
The ratio of lions to tigers in the zoo is 3:5 if there are 9 lions how many tigers are there?
Answer:
1.) $54
2.) $21 left
3.) 15 tigers
Step-by-step explanation:
1.) If the original price of an item was $60, and it was reduced by 10%, that means it is now being sold at 90% of its original value.
To find out the new price, simply take the original value and multiply it by 90% (as a decimal).
60*.90=54
So the new price is $54
2.) This is simple subtraction. If you spend $45 on some CDs and $12 on a t-shirt, you spent a total of $57. Subtract $57 from your total of $78.
78-57=21
You are left with $21
3.) Ratios are all about multiplication. If the ratio of lions to tigers is 3:5, that means that the number of lions is going to be any factor of 3, as long as it corresponds to the same factor of 5 for the tigers.
For example, if there are 9 lions, there must be 15 tigers.
3*3=9
5*3=15
There are 15 tigers
what is the value of 10^-3
24677899655995468385477/2468427843686545744
grade 7. solving integers
can someone explain how we solve integers? it's very confusing and i'll give some examples.
4 - -10 = ?
-5 + -3 = ?
I've been told that when we it's addition (+), we minus and if it's subtraction (-), we add? this is very confusing so pls explain
Answer:
yes
Step-by-step explanation:
you do that when you have a minus sign and a negative an example is like if you have 4-(-10)=? if you look at the part where its -(- it looks like a positive + so you add them so this is equal to 14, and when you are multiplying 2 negatives they both equal a positive an example is like -4 times -5 this equals 20, but if you have -5+-3=? this equals -8 because you are adding the numbers.
Hope this helps =)
Need help asap. Thanks!
Answer:
A- SAS
Step-by-step explanation:
The statements tell you the outer two lines are congruent and the top two angles as well, then through the properties of equality you know the inner line is congruent to itself. That means you have two sides and an included angle making it SAS.
Find the missing values to make the statement true.
90°– 27 ° 38’ 55” = 63°21'4"
DID I DO THIS CORRECTLY ?
Answer:yes
Step-by-step explanation:
3x+3y=180 what is the answer to this problem
Answer:
If you are solving the equation for x :
3x + 3y = 180
3x = -3y + 180
x = -y + 60 or x = 60 - y
If you are solving the equation for y:
3x + 3y = 180
3y = -3x + 180
y = -x + 60 or y = 60 - x
If m∠A = m∠B and m∠A + m∠C = ∠D, then m∠B + m∠C = ∠D Which property is shown?
Answer:
Substitution Property
Step-by-step explanation:
So we know that:
[tex]m\angle A=m\angle B[/tex]
And we also know that:
[tex]m\angle A+m\angle C=\angle D[/tex]
And by using a specific property, we get that:
[tex]m\angle B+m\angle C=\angle D[/tex]
Essentially, we substituted B for A.
So, this is an example of the substitution property, where if two sides/angles are congruent, we can substitute them for each other.
Pls help I’m stuck on it
Answer:
Step-by-step explanation:
its a
Answer:
I believe it C
What is the slope of the following equation? 5x - 2y = 13
Answer:
[tex] \frac{5}{2} [/tex]
Step-by-step explanation:
[tex]5x - 2y = 13 \\ 5x - 13 = 2y \\ 2y = 5x - 13 \\ y = \frac{5}{2} x - \frac{13}{2} \\ equating \: it \: with \\ y = mx + b \\ slope(m) = \frac{5}{2} [/tex]
To borrow $3,000 from the bank to buy first car the interest rate is 5% how muvh money will you owe the bank at the end of one year
Answer:
I=150
Step-by-step explanation:
I=Prt
I=3000(?)(?)
divide 5% by 100
I=3000(0.05)(?)
1 year= 1
I=3000(0.05)(1)
I=150
According to the question,
Principle,
P = 3000Interest rate,
r = 5% or 0.5Time,
t = 1 yearWe know that,
→ [tex]I = Prt[/tex]
By substituting the values, we get
[tex]= 3000\times 0.5\times 1[/tex]
[tex]= 150[/tex]
Thus the above approach is right.
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Each quarter weighs 0.2 ounces. How much money has been stolen from the bank? Report the amount in $. Ex. "$528" *
Answer:
$640
Step-by-step explanation:
512/0.2 = 2560 quarters
2560 quarters = 640 US Dollars
Hope this helps !
The total amount that was stolen is 640 US dollars.
How to determine the total amount that was stolen?The weight of the amount is given by;
Weight = 512 ounces
The weight of each quarter will be;
Unit weight = 0.2 ounces
So, the total amount would be;
Total = 512/0.2
Evaluate;
The Total amount = 2560 quarters
1 quarter = $0.25
So, we have:
The Total amount = $0.25 * 2560
Now Evaluate the product
The Total amount = $640
Hence, the total amount that was stolen is 640 US dollars.
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Determine if the following relation represents a function or not.
{(2,3), (4,3), (6,3), (5,9), (3,9)}
Answer:
It is a function.
Step-by-step explanation:
Functions are relations in which one domain value is assigned to exactly one range value. The x-value must not repeat in the relation set for it to be a function.
{(2,3), (4,3), (6,3), (5,9), (3,9)}
There are no repeating x-values given.
The relation should be a function.
Hope this helps.
Functions are relationships where a single domain value is allocated to a single range value precisely. For a relation set to be a function, the x-value cannot repeat.
What is a Set?The simplest definition of a set in mathematics is a grouping of unique items. Any collection of elements, such as a group of numbers, hours of the week, different kinds of automobiles, etc., might be considered a set.
A set's elements are all the items that make up the set.
As per the given data in the question,
{(2,3), (4,3), (6,3), (5,9), (3,9)}
Due to the absence of repeated x-values.
So,
The relationship need to be functional.
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answer please im begging you QwQ
Answer:
A is your answer
Step-by-step explanation:
What is m∠RSU?
PLEASE HELP
Answer:
∠RSU is equal to 39
Step-by-step explanation:
∠RST = 90.
So, 90 - 51 = 39
So ∠RSU = 39
Hope this helps!!
Answer:
39°
Step-by-step explanation:
This is a 90° angel and we already have 51°s, so we do 90 - 51: 90 - 51 = 39I hope this helps!
Multiply 15×2.23**
Simplify the expression: 4x+2+12x+17*
Divide: 0.24÷0.012**
Give two numbers that are less than -4.
Answer:
33.45
16x+19
20
Divide. 5892 ÷ 18 in fraction form.
Answer: mixed number 327 1/3
Step-by-step explanation:
5892/ 1÷18/ 1=327 1/3
put each number over one to turn it into a fraction.
The answer in fraction form is 982/3 or 327 (1 / 3).
Given,
5892 ÷ 18
We need to divide it in fraction form.
How do we divide a fraction?Suppose we have two fractions:
a/b and c/d
Divide a/b by c/d
Now,
a/b ÷ c/d
a/b x d/c
Divide 5892 ÷ 18 in fraction form.
Write 5892 and 18 in fraction form:
- 5892/1
- 18/1
Now,
= 5892 / 1 ÷ 18/1
= (5892/1) / (18/1)
= (5892/1) x (1/18)
= (5892 x 1) / (1 x 18)
= 5892 / 18
Write it in 6 multiples
= (6 x 982) / (6 x 3)
6 gets cancelled
= 982 / 3
We can write it in mix fraction.
= 327 (1 / 3)
Since,
3 x 327 = 981
981 + 1 = 982
Thus the answer in fraction form is 982/3 or 327 (1 / 3).
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find the value of each power 5^-2
Answer:
5⁻² = 1/25
3⁴ = 81
Step-by-step explanation:
5⁻² = 1/5² = 1/25 3⁴ = 3² * 3² = 9*9 = 81Kennedy invested $5,000 in an account paying an interest rate of 6.4% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest cent, would be in the account after 15 years?
The Answer is
A~13057.38
The money, to the nearest cent, would be in the account after 15 years is $13060.
What is Daily Compound Interest ?Due to the high frequency of compounding, daily compounded interest is larger than monthly/quarterly compounded interest since interest is accumulated on a daily basis and is determined by charging interest on principal plus interest gained on a daily basis
It is given in the question that Kennedy invested $5000
Interest rate = 6.4% compounded daily
Assuming no deposits and withdrawals
T = 15 years
The formula for amount obtained after 15 years when interest is compounded daily
[tex]\rm A = (P(1 + \dfrac{r}{n})^{nt})[/tex]
[tex]\rm A = (5000(1 + \dfrac{6.4}{365*100})^{365*15})[/tex]
A = 5000 * 2.612
A = $13060
Therefore , money, to the nearest cent, would be in the account after 15 years is $ 13060.
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The students at Woodward Elementary voted for a school mascot. The falcon won with 5/8 of the votes and the eagle came second with 1/3 of the remaining votes. If 536 students voted for a mascot, how many students voted for the eagle?
Answer:
178.67
Step-by-step explanation:
One third written as a fraction is 1/3. You can also write it as a decimal by simply dividing 1 by 3 which is 0.33.
If you multiply 0.33 with 536 you will see that you will end up with the same answer as above.
You may also find it useful to know that if you multiply 0.33 with 100 you get 33.33. Which means that our answer of 178.67 is 33.33 percent of 536.
What does 70.2 rounded to the nearest ten?
Answer:
70
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
Bob and Carl each rented the same kind of moving truck from EZ Move. There was a flat rental fee plus a charge per mile that the truck was driven. Bob's cost for his truck was $112.96 for 138 miles. Carl's cost for his truck was $142.78 for 209 miles. Which equation can be used to represent the cost of the rental truck? Round to the nearest hundredth if necessary. y = 71 x minus 29.82 y = 25 x minus 66 y = 0.42 x + 71 y = 0.42 x + 55
Answer:
D. y = 0.42x + 55
Step-by-step explanation:
Let the equation for the cost of the truck be represented by y = mx + b,
where y = cost of truck per mile, x = number of miles, m = charge of the truck per mile and b = rental fee.
We are given that,
Cost for Bob's truck ( y ) = $112.96 for x = 138 miles, and
Cost for Carl's truck ( y ) = $142.78 for x = 209 miles.
This gives us the equations,
142.78 = 209m + b
112.96 = 138m + b
Subtracting these equations, we get,
29.82 = 71m
i.e. m = 0.42
Substituting the value of ' m ' in first equation, we get,
142.78 = 209 × 0.42 + b
i.e. 142.78 = 87.78 + b
i.e. b = 55.
Hence, the equation for the cost of the truck is y = 0.42x + 55
Answer:
d.y = 0.42 x + 55
Step-by-step explanation:
2. Lenny is making pasta for dinner. The recipe calls for 3 cups of sauce to serve 15
people. If Lenny serves 60 people, how many cups of sauce does he need?