If the first term of the sequence is -9 and the common ratio is -2 what are the first five terms
Answers
Answer:
the terms are -9,18,-36,72,-144
Step-by-step explanation:
refer to picture for steps
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Related Questions
Please help!!
If you could explain how you solved this in detail it would be much appreciated.
When x^3+kx^2+2kx+6 is divided by (x-2), the remainder is 30. Find k.
Answers
Simplifying this equation, we get:
8 + 4k + 4k + 6 = 30
8k + 14 = 30
8k = 16
k = 2
Therefore, the value of k is 1.
What is polynomial?In mathematics, a polynomial is an expression consisting of variables (usually represented by x), coefficients, and non-negative integer exponents, which are combined using the operations of addition, subtraction, and multiplication. For example,
\(3x^2 + 2x - 1\)
is a polynomial with three terms, or a "trinomial," where the variable x is raised to the powers of 2 and 1, and the coefficients are 3, 2, and -1.
The degree of a polynomial is the highest power of the variable in the expression. For example, the polynomial above has a degree of 2, since the highest power of x is 2.
Polynomials are used in many areas of mathematics, including algebra, calculus, and geometry, and are used to model many real-world phenomena.
We can use the remainder theorem, which states that if a polynomial f(x) is divided by (x - a), then the remainder is equal to f(a). In this case, we know that when the polynomial\(l x^3 + kx^2 + 2kx\) + 6 is divided by (x - 2), the remainder is 30. So, we can set up the following equation:
\(x^3 + kx^2 + 2kx + 6 = (x - 2)q(x) + 30\)
where q(x) is the quotient when. \(x^3 + kx^2 + 2kx + 6\) is divided by (x - 2). We don't need to know what q(x) is, since we're only interested in finding k.
Now, let's substitute x = 2 into the equation above:
\(2^3 + k(2^2) + 2k(2) + 6 = (2 - 2)q(2) + 30\)
Simplifying the left-hand side, we get:
\(8 + 4k + 4k + 6 = 30\)
\(16k = 16\)
\(k = 1\)
OR
8 + 4k + 4k + 6 = 30
8k + 14 = 30
8k = 16
k = 2
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7.
If one United States dollar is worth $6.46 in yen (Chinese currency) in Euro money,
how much is $100 in Yen worth in United States money, to the nearest cent?
Answers
Answer:
$15.48
Explanation:
100 ÷ 6.46 = 15.479876
Point P is the incenter of triangle ABC,
PZ = 7 units, and PA = 12 units
Answers
The incircle centered at point P has a radius of 7 units.
What is the radius of incircle?Here given that,
PA = 12 units.
PZ = 7 units
We are told that point P is the incenter of the triangle and the center of the triangle's incircle. The incircle is the largest circle that can be formed in a triangle and is tangent to all three sides. The circle's radius will be a perpendicular line from point P to any side of the triangle. PZ = PY = PX in the triangle shown, and each value equals the radius of the circle.As a result, no additional calculations are required for this problem because we already know that PZ = 7 units, resulting in the radius, r = 7 units.The complete question is :
"Point P is the incenter of triangle ABC, PZ = 7 units, and PA = 12 units.
The radius of the incircle centered at point P is ? units."
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Note: Enter your answer and show all the steps that you use to
solve this problem in the space provided.
You have a credit card with a balance of $1,367.90 at a 9.5%
APR. You pay $400.00 each month on the due date until the
card is paid off. How many months does it take to pay off the
card, and what is the total amount paid including interest?
Be sure to include in your response:
• the answer to the original question
. the mathematical steps for solving the problem
demonstrating mathematical reasoning
Answers
Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.
To determine the number of months it takes to pay off the credit card and the total amount paid, including interest, we can follow these steps:
Step 1: Calculate the monthly interest rate.
The APR (Annual Percentage Rate) is given as 9.5%. To find the monthly interest rate, we divide this by 12 (the number of months in a year):
Monthly interest rate = 9.5% / 12 = 0.0079167
Step 2: Determine the monthly payment.
The monthly payment is given as $400.
Step 3: Calculate the interest and principal paid each month.
The interest paid each month can be calculated by multiplying the monthly interest rate by the current balance.
Principal paid = Monthly payment - Interest paid
Step 4: Track the remaining balance each month.
Starting with the initial balance of $1,367.90, subtract the principal paid each month to determine the new balance.
Step 5: Repeat Steps 3 and 4 until the balance reaches zero.
Continue calculating the interest and principal paid each month, updating the balance, until the remaining balance becomes zero.
Step 6: Determine the total number of months and the total amount paid.
Count the number of months it takes to reach a balance of zero. Multiply the number of months by the monthly payment ($400) to find the total amount paid.
Let's calculate the number of months and the total amount paid, including interest:
Month 1:
Interest paid = 0.0079167 * $1,367.90 = $10.84
Principal paid = $400 - $10.84 = $389.16
New balance = $1,367.90 - $389.16 = $978.74
Month 2:
Interest paid = 0.0079167 * $978.74 = $7.75
Principal paid = $400 - $7.75 = $392.25
New balance = $978.74 - $392.25 = $586.49
Month 3:
Interest paid = 0.0079167 * $586.49 = $4.64
Principal paid = $400 - $4.64 = $395.36
New balance = $586.49 - $395.36 = $191.13
Month 4:
Interest paid = 0.0079167 * $191.13 = $1.51
Principal paid = $400 - $1.51 = $398.49
New balance = $191.13 - $398.49 = -$207.36 (Paid off)
It takes 4 months to pay off the credit card. Now, let's calculate the total amount paid, including interest:
Total amount paid = 4 * $400 = $1600
Therefore, it takes 4 months to pay off the card, and the total amount paid, including interest, is $1600.
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A survey that asked people in the United States about their
feelings of personal well-being found that 85% are generally
happy. To test this finding, you survey 26 people at random and
finding that 19 consider themselves generally happy. Would
you reject the survey's findings?
Answers
Answer:
Yes I would
Step-by-step explanation:
You would not have enough test subjects to have an accurate survey.
write down mrs Chauke balance on the 25 march 2021 in words
Answers
Mrs. Chauke balance at 25th of march is ninety six thousand, one hundred and twenty.
Data;
Monthly income = 32040Balance on March 25Assuming that Mrs. Chauke has received monthly income and didn't touch it till march 25th, we can easily calculate what her balance would be by knowing how many months interval are there from January to March which is 3 and then we multiply her monthly income by 3 to know her balance at that day.
This is calculated as
\(32040 * 3 = 96120\)
Mrs. Chauke balance at 25th of march is ninety six thousand, one hundred and twenty.
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a sequence of instructions that solves a problem is called
Answers
A sequence of instructions that solves a problem is called an algorithm.
Which refers to the standards used to make a judgment or decision when designing a product?
prototypes
criteria
designs
investigations
Answers
Answer:
criteria
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Factor: 8x 4x 2x 5-23 +12
Answers
Answer:
this is the answer ................................
write the following in the form a+bi (2+5) - (-6 +bi)
Answers
The complex expression (2+5) - (-6 +bi) in the form a + bi is 13 - bi
How to evaluate the expression?The expression is given as
(2+5) - (-6 +bi)
The above expression is a complex expression
So, we have the following expression
(2+5) - (-6 +bi)
Remove the brackets in the above expression
So, we have the following expression
(2+5) - (-6 +bi) = 2 + 5 + 6 - bi
Evaluate the like terms in the above equation
So, we have the following expression
(2+5) - (-6 +bi) = 13 - bi
Hence, the solution to the complex expression is 13 - bi
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0.000549 in scientific notation
Answers
Answer: 5.49 × 10-4
Step-by-step explanation:
When you move the decimal over move it over to the right by 4 units.
When you move right it is (-) negative. So you get 5.49 x 10-4.
which of the following conditions is characteristic of a monopolistically competitive firm in both the short run and the long run? a. p > mc b. p < mr c. p
Answers
In both the short run and the long run, the characteristic of a monopolistically competitive firm is that the market price will be equal to its marginal cost (p = mc).
A monopolistically competitive firm is characterized by several conditions, both in the short run and the long run. In the short run, a monopolistically competitive firm will have a market price that is greater than its marginal cost (p > mc).
In the long run, a monopolistically competitive firm will have a market price that is equal to its marginal cost (p = mc). This is because, in the long run, the firm faces increased competition and has to set its price at the level where its marginal cost equals its price.
In conclusion, in both the short run and the long run, the characteristic of a monopolistically competitive firm is that the market price will be equal to its marginal cost (p = mc). This is because in the short run, the firm has some market power and can charge a higher price, and in the long run, the firm faces increased competition and has to set its price at the level where its marginal cost equals its price.
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Naji is trying to draw an isosceles triangle. He is
given point A at (-4,-2) and point B at (2,-2).
Plot these two points, then help Naji make the
isosceles triangle ABC by ploting point C. Give
your coordinates for point C. It must be on the
grid provided.
Answers
Answ
Step-by-step explanation:wirugf4
Determine the type of probability:
A spinner has 4 equal-sized spaces labeled A, B, C, and D.
The chance of landing in any of the spaces is 1/4, or 25%.
Answers
Answer:
Theoretical Probability
Step-by-step explanation:
Total number of possible outcomes
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A basketball player calculated her statistics on her own goal shooting. over 11 games, her mean score was 6, the median was 7, and the mode was 8.
what might her scores be in each of her games
shows your work please!!!
Answers
Answer: 1, 1, 2, 2, 7, 3, 8, 8, 8, 13,13
Step-by-step explanation:q 8+8+8+13+13+2+2+1+1+7=3=66
Since there were 11 games, divide by 11.
66 divided by 11= 6. tick.
8 occurred most. tick.
& is the middle number from 1 to 13. tick.
The following functions all have domain {1,2,3,4,5} and codomain 1,2,3. For each, determine whether it is jective, bijective, 3. (only) injective, (only) sur neither injective nor surjective. (a) f - {1 2 3 4 5}
{1 2 1 2 1} (b) f - {1 2 3 4 5}
{1 2 3 1 2}
(c) f(x) = { x if x < 3 x -3 if x > 3
Answers
The set of values that we are permitted to enter into our function is referred to as the domain of a function. The x values for a function f make up this collection (x). A function's range is the range of values that it can accept as input. When we enter an x value, the function outputs this set of outcomes.
(a) f - {1 2 3 4 5} -> {1 2 1 2 1}
This function is neither injective nor surjective. It is not injective because f(1) = f(3) = f(5) = 1, and it is not surjective because 2 is not in the range.
(b) f - {1 2 3 4 5} -> {1 2 3 1 2}
This function is neither injective nor surjective. It is not injective because f(1) = f(4) and it is not surjective because 3 is not in the range.
(c) f(x) = { x if x < 3, x - 3 if x > 3}
This function is both injective and surjective, and hence bijective. It is injective because each element in the domain maps to a unique element in the codomain, and it is surjective because every element in the codomain is mapped to by at least one element in the domain. Hence, this function is bijective.
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Tο summarize, here are the classificatiοns fοr each functiοn:
(a) f(x) = {1 2 1 2 1} is neither injective nοr surjective.
(b) f(x) = {1 2 3 1 2} is neither injective nοr surjective.
(c) f(x) = { x if x < 3 x -3 if x > 3 } is neither injective nοr surjective.
What is a functiοn?In mathematics, a functiοn definitiοn is a statement that defines a relatiοnship between input values (called the dοmain) and οutput values (called the cοdοmain οr range). A functiοn takes an input value and prοduces a unique οutput value based οn a certain rule οr algοrithm.
(a) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 1 and 2 are mapped tο 1, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 3 is never used.
(b) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 1 and 2 are mapped tο the οutput 1, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 3 is never used.
(c) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 3 and 4 are mapped tο the οutput 0, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 1 is never used.
Hence,
Tο summarize, here are the classificatiοns fοr each functiοn:
(a) f(x) = {1 2 1 2 1} is neither injective nοr surjective.
(b) f(x) = {1 2 3 1 2} is neither injective nοr surjective.
(c) f(x) = { x if x < 3 x -3 if x > 3 } is neither injective nοr surjective.
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465.8 g = blank kg
Plz help if u can !!!!
Answers
Answer:
0.4658 kg
Step-by-step explanation:
Fill in the table 'using this function rule.
y = -5x+2
x
-1
0
1
2
y
0
0
0
X
4
S
Answers
Answer:
7, 2, -3, -8
Step-by-step explanation:
y = -5x + 2 Substitute in -1 for x
y = -5(-1) + 2
y = 5 + 2
y = 7
y = -5x + 2 Substitute in 0 for x
y = -5(0) + 2
y = 0 + 2
y = 2
y = -5 + 2 substitutes in 1 for x
y = -5(1) + 2
y = -5 + 2
y = -3
y = -5x + 2 Substitute in 2 for x
y = -5(2) + 2
y = -10 + 2
y = -8
Helping in the name of Jesus.
what is the quotient of 1/6 and 2/9
Answers
Answer:
3/4
Step-by-step explanation:
5x_-2+X=9+3x_+10 cuál es
Answers
The solution to the given equation 5x - 2 + x = 9 + 3x + 10 is x = 7.
What is the solution to the given equation?Given the equation in the question;
5x - 2 + x = 9 + 3x + 10
Solve for x, first collect and add like terms
5x - 2 + x = 9 + 3x + 10
5x + x - 2 = 3x + 10 + 9
Add 5x and x
6x - 2 = 3x + 10 + 9
Add 10 and 9
6x - 2 = 3x + 19
Add 2 to both sides
6x - 2 + 2 = 3x + 19 + 2
6x = 3x + 21
Subtract 3x from both sides
6x - 3x = 3x - 3x + 21
3x = 21
Divide both sides by 3
3x/3 = 21/3
x = 21/3
x = 7
Therefore, the value of x is 7.
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a statistical study inbolves a data set of the different types of shoe designs by the designer calbvivn klein collected consistentyly over the years from 1987 to 2014 quizzlet
Answers
Answer:
c
Step-by-step explanation: got it right on test
The following equation is true for all values of x. What number completes the equation?
Show your work.
5y + 2(3y − 1) = ⬜y − (y + 2)
Answers
The number that can complete the equation 5y + 2(3y − 1) = ⬜y − (y + 2) is
5y + 2(3y − 1) = 12 y − (y + 2)
How to find the number that can complete the equationThe number that can complete the equation is computed by simplifying the equation at the left hand side of the equality sign and comparing with the right side of the equality side
The comparison will show the number that can fit in the blank
Simplifying the equation at the left hand side of the equation
= 5y + 2(3y − 1)
= 5y + 6y − 2
= 11y - 2
Simplifying the equation at the right hand side of the equation
= ⬜y − (y + 2)
let x represent the missing number
= xy − (y + 2)
= xy − y - 2
comparing both equations
11y - 2 = xy − y - 2
11y = xy − y
11y + y = xy
12y = xy
x = 12
The missing value = 12
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The radius of a circle is 18 miles. What is the circle's area?
Use 3.14 for (pi sign)
Answers
So then you get 324x3.14, and you get 1,017.36
That is ur answer
The area of a circle is 1017.36 miles².
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2πr.
The area of a circle is πr².
We have,
Radius = 18 miles
Now,
The area of a circle = πr²
So,
= πr²
= 3.14 x 18 x 18
= 1017.36 miles²
Thus,
1017.36 miles².
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20. Find the unknown angle measures.
51°
53°
Answers
The unknown angle measures are d = 76, c = 53, a = 51 and b = 76
Finding the unknown angle measures.From the question, we have the following parameters that can be used in our computation:
The lines
The sum of angles on a line is 180
So, we have
b = 180 - 51 - 53
b = 76
By vertical angle theorems, we have
d = 76
c = 53
a = 51
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how to solve 17/34=7/f
Answers
Answer:
cross multiple
17×f=34×7
17f/17=578/17
f=34
Sam had 1 1-2 meters of rope. He cut off 5-8 meters and used it for the project. How much does Sam have left?
Answers
answer:
7/8 sam have left
The perimeter of the figure is 26. Find the value of x.
Answers
Answer:
25
Step-by-step explanation:
common denominator is 10, so 4/10 plus 5/10 plus 1/10 is 1x. 6 minus 1 is 5. 1x+5 is 26. 1x=25 x=25
5. Jamal is taking a road trip. He plans to travel a total of 350 miles over the course of 8 days. If he plans on driving an equal amount each day, how far will he travel each day? Solve and check!
Answers
Answer: 43.75 miles per day.
Step-by-step explanation: All you have to do is divide 350 by 8, when you divide you basically just split the number evenly 8 times, which is what 350 divided by 8 is. He will have to drive 43.75 miles a day.
what's is the difference of -1/2 and 2/5
Answers
Answer:
-9/10
Step-by-step explanation:
Answer:
Step-by-step explanation:
I think -9/10
. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
Answers
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
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