The sequence alternates between adding 2 and multiplying by -4. Starting with 6, the sequence progresses by these operations to reach 120. Following this pattern, the next term after 120 is a) 122 by adding 2.
The student has asked to make a conjecture about the next item in the sequence 6, 8, -32, -30, 120. To determine the pattern, let's look at the differences between each pair of numbers.
From 6 to 8, we add 2.
From 8 to -32, we multiply 8 by -4.
From -32 to -30, we add 2.
From -30 to 120, we multiply -30 by -4.
It appears that the sequence alternates between adding 2 and multiplying by -4. Following this pattern, after 120 the next operation should be adding 2.
Therefore, the next number in the sequence would be 120 + 2 = 122. Hence, the answer is option a. 122.
Multistep sandy charges each family that she babysits a flat fee of $10 for the night and an extra $5 per child.kimmi charges $25 per night no matter how many children a family has write a equation that compare the two girls also is the fees are the same how many children a family have to have in order to be the same
given: 1 pail = 4 liters
1 pail = 9 liters
You are going to the river to fetch water. How could you carry 6 liters of water using only this two pails?
note: pails have no permanent calibration. ...?
Confused with a question. Will upvote!
Suppose a population of 250 crickets doubles in size every 3 months. How many crickets will there be after 2 years?
Would it be 4,000 crickets or 64,000 crickets?
Answer:
64000
Step-by-step explanation:
so, you have to double it every three months, so you are doubling is 8 times total. so, when you double 250 the first time you get 500 so then you double that, and you get 1000 the you double that to get 2000 then you double that to get 4000 then you double that again and get 8000 then you double that again to get 16000 then again to get 32000 and the one more time to get your answer 64000
A package of baseball cards includes 5 cards how many baseball cards are in 6 packages
Two accounts earn simple interest. The balance y (in dollars) of Account A after x years can be modeled by y=10x 500. Account B starts with $400 and earns 5% simple annual interest.
Question I need help with: Which account has a greater principal, and how much greater is the principal? Which account has a greater annual interest rate, and how much greater is the annual interest weight?
After k payments, the amount A still owed is
A = P(1+[i/q])k - Mq([1+(i/q)]k-1)/i, = (P-Mq/i)(1+[i/q])k + Mq/i. The amount of the fixed payment is determined byM = Pi/[q(1-[1+(i/q)]-nq)]. The amount of principal that can be paid off in n years isP = M(1-[1+(i/q)]-nq)q/i. The number of years needed to pay off the loan isn = -log(1-[Pi/(Mq)])/(q log[1+(i/q)]). The total amount paid by the borrower is Mnq, and the total amount of interest paid isI = Mnq - P.Rearrange the formula C = 2πr for r.
Answer:
[tex]\frac{C}{2\pi }=r[/tex]
Step-by-step explanation:
[tex]C=2\pi r[/tex]
WE need to solve for 'r'. Our aim is to get 'r' alone
2πr mean 2 times pi times r
To remove 2π we do opposite operation
Opposite operation of multiplication is division.
To remove 2π , divide both sides by 2π
[tex]\frac{C}{2\pi }=\frac{2\pi r}{2\pi}[/tex]
Now simplify it
[tex]\frac{C}{2\pi }=r[/tex]
The Gordons make $49,000 a year and live in West Virginia, which has a median annual income of $37,989. If their monthly expenses amount to $3900 per month, do they qualify for Chapter 7 bankruptcy?
The Gordons' eligibility for Chapter 7 bankruptcy cannot be definitively determined without detailed calculations. While their income is above West Virginia's median income, their high monthly expenses might allow them to pass the bankruptcy means test.
Explanation:To determine whether the Gordons qualify for Chapter 7 bankruptcy, we must consider their income, monthly expenses, and the median annual income for their state. As their income is $49,000 a year, they exceed the median annual income of West Virginia, which is $37,989. Their $3,900 monthly expenses total to $46,800 annually.
Under Chapter 7 bankruptcy, a means test is applied to identify whether the Gordons' income is low enough for eligibility. This test compares the family’s monthly income to the median income of a family the same size. However, it is important to note that not all income is counted in this means test and some deductions are given for various necessary expenses.
In this scenario, the Gordons' income is above the median income for West Virginia. However, their high monthly expenses might still allow them to pass the means test. You would need to calculate whether their income, minus allowable expenses, is still above the median. Without these detailed calculations, it's impossible to definitively say whether the Gordons qualify for Chapter 7 bankruptcy.
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Please Help!!!!!!!!!
The radius of the base of a cylinder is 3 feet. Is the volume of the cylinder a linear or nonlinear function of the height of the cylinder? ...?
0x6+12 divided by 3-1 answer
Loren puts £600 in a bank account.
The account pays 3% compound interest each year after ONE year she withdraws £200.
How much will she have in the account after 2 years?
To solve the problem we will first calculate the remaining balance in Loren's Account after a year.
The balance in Loren's account after two years is £430.54.
Given to us
Loren puts £600 in a bank account,the account pays 3% compound interest each year,after ONE year Loren withdraws £200Principal Amount that Loren put in her account, P = £600Rate of interest that bank pays, r = 3% = 0.03Balance of Loren after one yearUsing the compound interest formula,
Balance of Loren after one year = [tex]P(1+r)^t[/tex]
Substituting values,
[tex]=600(1+0.03)^1\\= 600(1.03)\\= 618[/tex]
Remaining Balance of Loren after one yearNow, as Loren takes £200 out of the account, the remaining balance would be,
= Balance of Loren after one year - £200
= £618 - £200
= £418
Balance in Loren's account after two yearsIn the second year, the balance will be paid on the remaining balance, therefore, applying the formula of compound interest,
P = £418
r = 0.03
t = 1
[tex]=P(1+r)^t\\=418(1+0.03)^1\\=418(1.03)\\= 430.54[/tex]
Hence, the balance in Loren's account after two years is £430.54.
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There are 5 fewer trucks than cars in the parking lot. If there are 8 trucks. How many cars are there.
Answer:
13 cars
Step-by-step explanation:
There are 5 fewer trucks than cars in the parking lot. There are 8 trucks in total.
5 less trucks than cars. we need to find number of cars in the parking lot.
Cars are more than trucks. To find the number of cars, we add 5 with the total trucks .
8 trucks + 5 = 13
So there are total of 13 cars .
How do I compete the two-way table for #4
Line AB contains points A (8, −4) and B (1, −5). The slope of line AB is....
Answer:
[tex] The\ slope\ of\ the\ line\ AB\ is \frac{1}{7} .[/tex]
Step-by-step explanation:
Formula for slope
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
As the Line AB contains points A (8, −4) and B (1, −5).
Put points value in the above
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
[tex]m = \frac{- 5- (-4)}{1 - 8}[/tex]
[tex]m = \frac{- 5 + 4}{1 - 8}[/tex]
[tex]m = \frac{- 1}{-7}[/tex]
[tex]m = \frac{1}{7}[/tex]
[tex]Therefore\ the\ slope\ of\ the\ line\ AB\ is \frac{1}{7} .[/tex]
Systems of equations have one solution. I am thinking sometimes, am I right?
please help me with this problem.
What is the LCM of 24a^3 b and 36ab^2?
12ab
24a 3b^2
36ab
72a 3b^2
Answer:
12ab
Step-by-step explanation:
i got a 100%
A family of four goes to a salon for haircuts the cost of each haircut is $13 use distributive property to find the product 4*13 for the total cost
A true-false test consists of 50 questions. how many does a student have to get right to convince you that he is not merely guessing Explain
To convince me that they're not guessing on a true-false test, a student needs to get significantly more than half of the questions right.
Explanation:A true-false test consists of 50 questions. To convince me that he is not merely guessing, a student would need to get significantly more than half of the questions right. If the student gets exactly half of the questions right, that would be the result we would expect from guessing. However, if the student consistently gets more than half of the questions right, it would indicate that they have some knowledge or understanding of the material.
Let's say a student gets 30 out of 50 questions correct. This would be 60% of the questions, which is higher than 50%, indicating that the student is not merely guessing.
What is the correct solution to the equation? 5(x - 5) = 15
a. 50
b. 2
c. 8
d. 80
What is 4 and 1/2 as a percent??
Factor: 4x^2-12x+9=0
6 2/3 greater than 6 12/15
simplify the expression -196
a) 98
b) -14
c) 14
d) 392
The simplification of the expression -196 is -14 because the square root of 196 is 14 and the initial expression has a negative sign, option b) is the correct answer.
Explanation:The question is asking us to simplify the expression -196. When it says 'simplify', and it's giving us a numerical value, it's most likely referring to finding the square root of a number, since the square root is a number that, when multiplied by itself, gives the original number. In this case, we are looking for the square root of 196, but we must keep in mind the negative sign, which indicates that we are dealing with negative square roots.
Normally, the square root of 196 is 14. However, because there is a negative sign (-) in front of the 196 in this problem, we are actually looking for the negative square root. Therefore, the 'simplified' version of -196 in this case would be -14, which is option (b).
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Which of the following could be an example of a function with a range (-∞,a] and a domain [b, ∞) where a < 0 and b < 0?
A. ƒ(x)= √(x-a)+b
B. ƒ(x)=3√(x-b)+a
C. ƒ(x)=-3√(x+a)-b
D. ƒ(x)=-√(x+b)-a ...?
The correct answer is D. ƒ(x)=-√(x+b)-a. This function satisfies the range and domain conditions stated in the question.
Explanation:The correct answer is D. ƒ(x)=-√(x+b)-a.
A function with a range of (-∞, a] means that the output values of the function are less than or equal to a. In option D, the function is defined as ƒ(x)=-√(x+b)-a, where a < 0 and b < 0. When we substitute negative values for x in this function, the output values will be less than or equal to a, satisfying the range condition. Similarly, when x tends to positive infinity, b becomes negligible, and the function approaches -∞. This satisfies the domain condition [b, ∞).
Therefore, option D is a possible example of a function with the given range and domain conditions.
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Roland Corporation buys stoves from a wholesaler. The list price of a stove is $900, with a trade discount of 30 percent. The net price is: ...?
100% - 30% = 70%
P = 0.7*900
which equals $630
Answer:
The net price of the stove is $630.
Step-by-step explanation:
The list price of a stove = $900
Trade discount on the price = 30%
The net price = 900 - (30% of 900)
= 900 - ([tex]\frac{30}{100}[/tex] × 900)
= 900 - (0.30 × 900)
= 900 - 270
= $630
The net price of the stove is $630.
Gerry is at dominos and sees that 2 choco-lava cakes cost $50. he needs 6 choco-lava cakes. how much will those 6 choco-lava cakes cost?
Gerry needs to pay $150 for 6 choco-lava cakes which cost $25 each.
Explanation:The subject here is Mathematics, particularly dealing with proportionality. If Gerry sees that 2 choco-lava cakes cost $50, we can say that the price of each choco-lava cake is $50 divided by 2, which is $25 per choco-lava cake. Then, if Gerry needs 6 choco-lava cakes, we take the price of one choco-lava cake ($25) and multiply it by how many cakes he needs, which is 6. So, 6 cakes at $25 per cake give us $150.
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In the diagram below, what is the relationship between the number of parallelograms and the perimeter of the figure they form?
The relationship is as you join more parallelograms together, the base length increases, and thus, the perimeter of the figure formed by these parallelograms also increases.
What happens to the parallogram ?The perimeter of each individual parallelogram can be calculated using the formula for the perimeter of a parallelogram:
P = 2(base + side)
P = 2(5 + 4) = 2(9)
= 18 units
The second parallelogram has a base of 10 units and a side length of 4 units. The perimeter of the second parallelogram is:
P = 2(10 + 4) = 2(14)
= 28 units
The perimeter of the third parallelogram is:
= P = 2(15 + 4) = 2(19)
= 38 units
The relationship is such that the perimeter is directly proportional to the number of parallelograms joined together, with each additional parallelogram adding 10 units to the base length and subsequently increasing the perimeter by 20 units.
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the volume of a rectangular prism is 72 cubic centimeters the prism is 2 centimeters wide and 4 centimeters high what is the length of the prism
rachel bought 1 3/5 pounds of peaches for $.60 and 3 1/2 pounds of apples for $1.75. which fruit costs more per pound ? explain how you know
My rectangular cabbage patch has a total area of 110 sq. ft. Find its perimeter in terms of the width x ...?