A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?
Answer:
the next term is -1
Step-by-step explanation:
A sequence is defined recursively by the formula
[tex]f(n + 1) = f(n) + 3[/tex]
The first term of the sequence is –4.
When n=1 then f(1)=-4
Now we find out the next term
We need to find f(2)
To find f(2) plug in 1 for n in the recursive formula
[tex]f(n + 1) = f(n) + 3[/tex]
[tex]f(1 + 1) = f(1) + 3[/tex]
f(1) is -4
[tex]f(1 + 1) = -4 + 3[/tex]
[tex]f(12) =-1[/tex]
So the next term is -1
Answer:
b. -1
Step-by-step explanation:
HELP PLEASE
What Property Of Addition is this ?
3 + (8 + a) = (8 + a) + 3
52 thousand in scientific notation
The scientific form of the number 52 thousand is 5.2×10⁴.
What is scientific notation?In scientific notations numbers are written in the form of a base that is
0 ≤ b < 10 and multiplied by 10ⁿ where n represents integers.
We write large standard numbers in scientific form in a compact manner.
Given, A number 52 thousand in standard form which is, 52000.
Now, The base would be 5 and the rest part would be in decimals raised to an appropriate exponent which is,
= 5.2×10⁴. (as we have moved the decimal 4 places left)
learn more about scientific forms here :
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Can someone please graph this equation? 5-8x =16-8x
Which value is equivalent to x+4/4+x
Answer:
Step-by-step explanation:
Alright, lets get started.
Given that:
[tex]\frac{x+4}{4+x}[/tex]
Using commutative property, 4+x = x+4,
so
[tex]\frac{x+4}{x+4}[/tex]
Both numerator and denominator has same value, hence they could be cancelled.
So,
[tex]\frac{x+4}{x+4} = 1[/tex]
Hence the answer is 1 : Answer
Hope it will help :)
Answer:
c
Step-by-step explanation:
the answer is 1
Suppose a triangle has sides 3, 4, and 5. Which of the following must be true?
A.The triangle in question is not a right triangle.
B.The triangle in question is a right triangle.
C.The triangle in question may or may not be a right triangle.
Answer: B.The triangle in question is a right triangle.
Step-by-step explanation:
The Converse of Pythagoras theorem says that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides then the triangle is a right triangle.
The given sides of triangle : 3, 4, and 5.
Here, Measurement of largest side = 5
Then , [tex]5^2=25[/tex]
Also, [tex]4^2+3^2=16+9=25[/tex]
[tex]\Rightarrow\ 5^2=4^2+3^2[/tex]
Hence, by the converse of Pythagoras theorem, the triangle in question is a right triangle.
Answer:
HAS TO BE A RIGHT ANGLE
Step-by-step explanation:
…..
A ringtone company charges $9 a month for the service plus $1.25 for each ringtone downloaded.
What is the graph of the equation that models the total fees per month?
Alana bought a stock, which dropped 10% from the previous day. the total cost of her stock, with the price drop, was $253.10. Which equation could she use to find the price of the stock before the price drop?
A.)z=253.10+0.10
B.)0.10z=253.10
C.)z+0.10(z)=253.10
D.)z-0.10(z)=253.10
Convert 30 feet per second to miles per minute.
5280 ft = 1 mi
Round to the nearest hundredth.
Enter your answer in the box.
____mi/min
30 feet per second x 60 = 1,800 feet per minute
1,800 feet per minute / 5280 = 0.34 miles per minute
Which of these is the statement of the zero product rule?
A. If a • b = 0, then either a = 0 or b = 0, but not both.
B. If a • b = 0, then a = 0 and b = 0.
C. If a • b = 0, then a = 0.
D. If a • b = 0, then either a = 0 or b = 0, or both.
Answer: Hello mate!
If you have any real number A; you always have that:
A*0 = 0
this means that the product between a number A and zero, is equal to zero, and this is for every number. (note that A can be equal to 0, and 0*0 = 0)
Then if a*b = 0, you know that, at least one of the numbers is equal to zero, and there is possible that both numbers are equal to zero.
And with this information, you can see that the right answer is D.
"if If a • b = 0, then either a = 0 or b = 0, or both."
because:
0*b = 0
a*0 = 0
0*0 = 0
Final answer:
The zero product rule states that if the product of two multiplicands equals zero, then at least one of the multiplicands must be zero, which is correctly represented by option D.
Explanation:
The correct statement of the zero product rule is: If a • b = 0, then either a = 0 or b = 0, or both. This is accurately represented by option D. The zero product rule is a foundational concept in algebra that asserts when the product of two or more numbers or variables equals zero, at least one of the multiplicands must be zero. It's crucial for solving equations where a product is set equal to zero, as it allows for each factor to be set equal to zero and solved individually. This rule is pivotal in finding solutions to polynomial equations, among others. For example, in the equation (x + 2)(x - 3) = 0, applying the zero product rule we set each factor equal to zero: x + 2 = 0 or x - 3 = 0, leading to the solutions x = -2 or x = 3, respectively.
At the beginning of the week, Naveen has 87 trading cards. On Monday, he gets 9 more. On Tuesday, he gives 16 away. On Wednesday, he is given 3 by a friend. On Thursday, he sells all of his cards to a collector. The collector pays him a rate of c for every card that Naveen has. If Naveen earns $124.50 from the sale, what is c, the rate that the collector pays for each card?
$1.08
$1.50
$41.50
$83.00
Which of the following represents x =1/2 y written in general form?
Answer with explanation:
The given expression is
[tex]x=\frac{1}{2}\times y[/tex]
Which is equation in two variables , x and y , representing a line.
The general form of line is,
Ax +B y +C=0
Writing the above equation symmetrical to general form of line
→ 2 x=y
→2 x-y=0, is the general form.
I have time until Friday, December 1. Please help me!! I’m really confuse with problem. Question is “Find the measure of the angle marked «X» ” Thank u in advance!!!!!
A fireworks company has two types of rockets called Zinger 1 and Zinger 2. The polynomial -16t2 + 150t gives the height in feet of Zinger 1 at t seconds after launch. The polynomial -16t2 + 165t gives the height of Zinger 2 at t seconds after launch. If the rockets are launched at the same time and both explode 6 seconds after launch, how much higher is Zinger 2 than Zinger 1 when they explode?
The density of water is 1.0 g/cm3 how many deciliters of water will fill
a.5-l bottle
A candle is 17 in. tall after burning for 3 hours. After 5 hours, it is 15 in. tall. Write a linear equation to model the relationship between height h of the candle and time t. Predict how tall the candle will be after burning 8 hours.
the weight of a rectangular block of metal varies jointly as its length, width and thickness. If the weight of a 13dm by 8dm by 6dm block of aluminum is 18.2kg, find the weight of a 16dm by 10dm by 4dm block of aluminum??
Which conjunction or disjunction is equivalent to the following inequality?
|a - 9| ≤ 4
a - 9 ≤ 4 AND a - 9 ≤ - 4
a - 9 ≤ 4 AND a - 9 ≥ - 4
a - 9 ≤ 4 OR a - 9 ≤ - 4
a - 9 ≤ 4 OR a - 9 ≥ - 4
Answer:
a - 9 ≤ 4 and a - 9 ≥ - 4
Step-by-step explanation:
Are number 2,3,5,7 and 8 correct?
What is the answer to this math problem below:
Find the product. Estimate to check if ur answer is reasonable
538 × 46=
Share £24 in the ratio 3:5
The Witches coven are making a potion and Ethel, Glinda, Locasta and Circe each add a different ingredient. When the potion is finished, there is 1/4 of the bat blood left, 1/3 of the knotgrass, 1/2 of the moonstone and 5/8 of the unicorn hair. Ethel used the most. Glinda used the least. Locasta used more than Circe. Who used the moonstone?
The moonstone was used by [tex]\fbox{\begin\\\ \bf Circe\\\end{minispace}}[/tex].
Further explanation:
It is given that a potion is prepared by a group of witches. The members in the group are Ethel, Glinda, Locasata and Circe.
The ingredients used in the preparation of the potion are bat blood, knotgrass, moonstone and unicorn hair.
Each member of the group add a different ingredient which means that no two member of the group add the same ingredient.
As the preparation of the potion is finished it is observed that the [tex]\dfrac{1}{4}th[/tex] of the bat blood is left, [tex]\dfrac{1}{3}rd[/tex] of the knotgrass is left, [tex]\dfrac{1}{2}nd[/tex] of the moonstone is left and [tex]\dfrac{5}{8}th[/tex] of the unicorn hair is left.
From the above statement it is concluded that [tex]25\%[/tex] of the bat blood is left, [tex]33.33\%[/tex] of the knotgrass is left, [tex]50\%[/tex]of the moonstone is left and [tex]62.5\%[/tex] of unicorn hair is left.
Therefore, the percentage of ingredients used in the preparation of the potion are as follows:
Bat blood: [tex]75\%[/tex] is used
Knotgrass: [tex]66.67\%[/tex] is used
Moonstone: [tex]50\%[/tex] is used
Unicorn hair: [tex]37.5\%[/tex] is used
As per the question Ethel used the most so, the ingredient bat blood was used by Ethel.
As per the question Glinda used the least so, the ingredient unicorn hair was used by Glinda.
It is given that Locasta used more than Circe so, the ingredient knotgrass was used by Locasta and moonstone was used by Circe.
Therefore, the ingredient moonstone was used by [tex]\fbos{\begin\\\ \bf Circe\\\end{minispace}}[/tex].
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Answer details:
Grade: High school
Subject: Mathematics
Chapter: Percentages and Fraction
Keywords: Percentages, fraction, Ethel, Glinda, Locasata, Circe, potion, bat blood, knotgrass, moonstone, unicorn hair, numbers, witches, coven, simplification.
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2l + 2w = 16, where lrepresents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle?
It is basically a trick question. Firstly we have to ficus on the given formula to get to the answer for this question.
2l + 2w = 16
2(l + w) = 16
l + w = 8
l = 8 - w
Mow w cannot be less than 1. So the length of the rectangle cannot be more than 7. So we can conclude that 7 inches is the correct option or the first option is the correct option among the given options.
Hope this helped!!!!!
Find the percent change. Tell whether it is a percent increase or decrease. from 50 to 42
Which has the smaller scale: a map on which 1 inch equals 200 miles a map on which 1 inch equals 100 miles?
(c)100 pts Mrs. Carothers looked at another hotel. She waited a week before she decided to book nights at that hotel, and now the prices have increased. The original price was $1195. The price for the same room and same number of nights is now $2075. What is the percent increase? Round to the nearest whole percent. Explain and Show your work.
what formula can be used to describe the sequence ?
The formula which can be used to describe the sequence is:
[tex]f(x+1)=2f(x)[/tex]
Step-by-step explanation:The sequence is given by:
[tex]-2\dfrac{2}{3},-5\dfrac{1}{3},-10\dfrac{2}{3},-21\dfrac{1}{3},-42\dfrac{2}{3},.....[/tex]
The terms of the sequence could also be written as:
[tex]\dfrac{-8}{3},\dfrac{-16}{3},\dfrac{-32}{3},\dfrac{-64}{3},\dfrac{-128}{3},....[/tex]
This means that the first term of the sequence is:
[tex]f(1)=\dfrac{-8}{3}[/tex]
The second term of the sequence is:
[tex]f(2)=\dfrac{-16}{3}\\\\i.e.\\\\f(2)=2\times \dfrac{-8}{3}\\\\i.e.\\\\f(2)=2f(1)[/tex]
[tex]f(3)=\dfrac{-32}{3}\\\\i.e.\\\\f(3)=2\times \dfrac{-16}{3}\\\\i.e.\\\\f(3)=2f(2)[/tex]
and so on.
Hence, the formula is given by:
[tex]f(x+1)=2f(x)[/tex]
The graph shows the value of a car at different years after Joanna purchased it.
Which answer is the best estimate for the average rate of change between Year 9 and Year 14?
−$75/year
−$130/year
−$250/year
−$325/year
Answer:
the answer is 130 year.
Step-by-step explanation:
Answer:
I can verify that this answer is correct!
Find the measure of <1 https://dlap.gradpoint.com/Resz/~Oiy9AAAAAAAalw2BXk3OdA.9zC7krSp46P2biI_hAq6AC/213679,9DE,0,0,0,0,0/Assets/testitemimages/geometry_b/area/mc050-1.jpg