Andrew bought a new computer for $2,100. The value of the computer decreases by 30% annually. Let y represent the value of the computer after x years.

Which type of sequence does the situation represent?


The situation represents an arithmetic sequence because the successive y-values have a common difference of 0.3.

The situation represents an arithmetic sequence because the successive y-values have a common difference of 30.

The situation represents a geometric sequence because the successive y-values have a common ratio of 0.3.

The situation represents a geometric sequence because the successive y-values have a common ratio of 0.7.

Answer:

Debra needs 14 cups of fertilizer.

Step-by-step explanation:

Step 1:  Find the area of Debra's rectangular vegetable garden:

Before we can determine how many cups of fertilizer she needs, we'll need to know the area of Debra's garden.  This will tell us how many square yards her garden covers.  The formula for the area of a rectangle is given by:

A = lw, where

Thus, we can plug in 9(1)/(3) for l and 12 for w in the rectangle area formula to find A, the area of Debra's garden in square yards:

A = 9(1)/(3) * 12

A = 112

Thus, the area of Debra's garden is 112 square yards.

Step 2:  Create a proportion to find x, the number of cups of fertilizers she needs:

We're told that cups of fertilizer with water are proportional to the square yards of Debra's garden.  Thus, we can create a proportion to find x, the number of cups of fertilizer she needs:

(1)/(8) cups / 1 square yard = x cups / 112 square yards

1/8 = x/112

14 = x

Thus, Debra needs 14 cups of fertilizer since her garden covers 112 square yards.

The probability that the restaurant will receive two or more complaints in the next week is approximately 0.907.

Given that a fast food restaurant keeps record of the number of customer complaints per week and it has had 4 complaints per week. Assume that the number of complaints follows a Poisson distribution. We need to find the probability that the restaurant will receive two or more complaints in the next week. To find the probability of two or more complaints in the next week, we need to subtract the probability of zero or one complaint from 1, since the sum of all probabilities is 1.

So ,P(X ≥ 2) = 1 - P(X < 2). Now, the probability of having no complaints P(X = 0) = (e^-λλ^x)/x!

Putting x = 0 and λ = 4,P(X = 0) = (e^-4 4^0)/0! = 0.0183Approximately P(X = 0) = 0.02

Now, the probability of having one complaint P(X = 1) = (e^-λλ^x)/x!

Putting x = 1 and λ = 4,P(X = 1) = (e^-4 4^1)/1! = 0.0733Approximately P(X = 1) = 0.073

So, P(X < 2) = P(X = 0) + P(X = 1)P(X < 2) = 0.02 + 0.073 = 0.093

Therefore, P(X ≥ 2) = 1 - P(X < 2)P(X ≥ 2) = 1 - 0.093P(X ≥ 2) = 0.907

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Answer:

n=-6

Step-by-step explanation:

-3n-4n-17=25

-7n-17=25

-7n=42

n=-6

Answer:

n = -6

Step-by-step explanation:

-3n-4n-17=25

Combine like terms

-7n -17 = 25

Add 17 to each side

-7n -17+17 = 25+17

-7n = 42

Divide each side by -7

-7n/-7 = 42/-7

n = -6

Answer:

Think

Step-by-step explanation:

Think its 2.

Answer:

its the last graph

Step-by-step explanation:

It the graph that represents the function given in the table is the graph [3].

The point slope form of a line is given by -

y - y₁ = m(x - x₁)

Given is a line that passes through the points (-2, 5), (0, 3), (1, 2) and (4, -1).

The general equation of the straight line is -

y = mx + c

where -

m is the slope of line

c is the y - intercept

Now -

We can calculate the slope as follows -

m = (2 - 3)/(1 - 0) = -1/1 = -1

Now, at [x] = 0, [y] = 3

Which is the y - intercept.

The equation of the line will be -

y = - x + 3

We will plot the graph and match it with the given ones.

It can be seen that graph 3 is the correct choice.

Therefore, it the graph that represents the function given in the table is the graph [3]. It is plotted and attached with the answer for reference.

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The quotient of dividing 100 by 42 is equal to 2 with a remainder of 16.

This is because 42 multiplied by 2 is 84, which is the largest multiple of 42 that is less than or equal to 100. Subtracting 84 from 100 gives 16 as the remainder.

The process of division involves dividing a number into equal parts or groups. The result of a division operation is known as the quotient. When we divide 100 by 42, we are asking how many times 42 goes into 100. The answer is 2 with a remainder of 16. This means that we can divide 42 into 100 two times, with 16 remaining.

We can write this as follows:

100 ÷ 42 = 2

R16, where R stands for remainder.

To check our work, we can multiply the quotient by the divisor and add the remainder:2 × 42 + 16 = 100

Therefore, we can conclude that the quotient of dividing 100 by 42 is 2 with a remainder of 16.

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The graph of y = x^2e^(-2) has a point of inflection at the values of x where the concavity of the curve changes. In mathematical terms, a point of inflection occurs where the second derivative of the function changes sign.

To find the values of x that correspond to the points of inflection, we need to find the second derivative of the function and solve for the values of x that make the second derivative equal to zero or undefined.

First, let's find the first and second derivatives of y = x^2e^(-2):

First derivative:

dy/dx = 2xe^(-2) + x^2(-2)e^(-2) = 2xe^(-2) - 2x^2e^(-2)

Second derivative:

d^2y/dx^2 = 2e^(-2) - 4xe^(-2) = 2e^(-2)(1 - 2x)

Now, set the second derivative equal to zero and solve for x:

2e^(-2)(1 - 2x) = 0

Since e^(-2) is always positive and nonzero, we can ignore it for solving this equation. Therefore:

1 - 2x = 0

2x = 1

x = 1/2

So, the graph of y = x^2e^(-2) has a point of inflection at x = 1/2.

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Answer:

I'd say A because this question is just like y and xays.

Step-by-step explanation:

-2

Its this number because its the number right outside of the ()

Answer:

-2

Step-by-step explanation:

Step 1: Write expression

3 - 2(x + 1) + 5x - 4

We see here that we have parenthesis around (x + 1) and a number in front of it. If we were to expand this:

3 - 2x - 2 + 5x - 4

We would see that we would distribute a negative 2.

Given:

Consider the given equation is

[tex]y=\dfrac{2}{5}x-1[/tex]

To find:

The equation of a line that is perpendicular to the graph of given line.

Solution:

Slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

Equation of given line is

[tex]y=\dfrac{2}{5}x-1[/tex]

Here, slope is [tex]\dfrac{2}{5}[/tex].

We know that, product of slopes of two perpendicular lines is -1.

[tex]m_1\times m_2=-1[/tex]

[tex]\dfrac{2}{5}\times m_2=-1[/tex]

[tex]m_2=-\dfrac{5}{2}[/tex]

The slope of perpendicular line is [tex]-\dfrac{5}{2}[/tex].

Only in option C, the slope of the line is [tex]-\dfrac{5}{2}[/tex].

Therefore, the correct option is C.

From the given option the slope of the line -5/2 is shown by the equation  [tex]y=-\dfrac{5}{2}x-4[/tex]   that is option B) and this can be determined by using the slope-intercept form.

Given :

Equation --    [tex]y=\dfrac{2}{5}x-1[/tex]     ---- (1)

First, determine the slope of the given line by using the slope-intercept form. The slope-intercept is given by the equation:

y = mx + c

Now, compare equation (1) with the above equation.

[tex]\rm m_1 =\dfrac{2}{5}[/tex]

c = -1

For a line to be perpendicular to the other line the product of the slope of both the line is equal to -1, that is:

[tex]\rm m_1m_2 = -1[/tex]

So, the slope of the line perpendicular to the line [tex]y=\dfrac{2}{5}x-1[/tex]  is:

[tex]\rm m_2 = -\dfrac{5}{2}[/tex]

So, from the given option the slope of the line -5/2 is shown by the equation  [tex]y=-\dfrac{5}{2}x-4[/tex]   that is option B).

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Answer:

This is correct

Step-by-step explanation:

Paul has made no mistakes but he probably is wondering if the 4x that he got in the equation is correct.  He might second guess that he shouldn't have subtracted the 3x from the 7x but instead divided the two numbers.

Answer:

Step-by-step explanation:

Angle 1  = Angle 7

Angle 4  = Angle 8

Answer:

i need more information

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You need to multiply both numbers inside the parentheses by 5:

5 times x  = 5x

5 times 7  = 35

and then you'll get B

hope this helped UwU

Answer: 100*1000

Step-by-step explanation:

You would multiply 100 by 1000. So it would be 100*1000 and it would equal 100000.

Answer:

[tex]{7}^{3} [/tex]

Step-by-step explanation:

simplify numerator to get

[tex] {7}^{7} [/tex]

simplify denominator to get

[tex] { ({7}^{2} )}^{2} [/tex]

which simplifies to

[tex] {7}^{4} [/tex]

now that it's

[tex] \frac{ {7}^{7} }{ {7}^{4} } [/tex]

the exponents subtract to get our final answer

Answer:

Step-by-step explanation:

(16-9)^7

[(5+2)^2]^2

(16-9)^7

823543

[(5+2)^2]^2

(49)^2

2401

823543/2401 = 343

Answer: 24 miles. Yes

Step-by-step explanation:

1/2in = 3 miles so 1in = 6 miles

6 x 4 = 24 so he will need 24 miles worth of gas to make it.

Answer:

2.25 miles  no Ryan does not have enough gas.

Step-by-step explanation:

first draw your proportion

------------------=---------------------

Next fill it out

30 miles                2.25 miles

                        =

4 inches                 3 miles

Then multiply 30 miles by 3 miles and you get 90

After you mutliply 30 by 3 which is 90, divide 90 by 4 and you get 2.25 miles.

Ryan only has  enough gas in his jeeep to drive 30 miles he needs to travel 2.25 miles to get to the island, so he does not have enough gas to get to the island.

After approximately 2.4744 days, the number of bacteria in the culture will reach 7,144,200.

To find the number of days (x) after which the number of bacteria in the culture reaches 7,144,200, we need to solve the equation B(x) = 7,144,200.

The given equation for the growth of bacteria is B(x) = 9800(3)^x.

Setting B(x) equal to 7,144,200, we have:

9800(3)^x = 7,144,200

To solve for x, we can take the logarithm of both sides using base 3 logarithm:

log₃(9800(3)^x) = log₃(7,144,200)

Using logarithmic properties, we can simplify the equation:

log₃(9800) + log₃(3)^x = log₃(7,144,200)

Since log₃(3)^x is equivalent to x (since log₃(3) = 1), we can rewrite the equation as:

log₃(9800) + x = log₃(7,144,200)

Now, we can solve for x by isolating it:

x = log₃(7,144,200) - log₃(9800)

Using a calculator, we can compute the values:

x ≈ 5.2456 - 2.7712

x ≈ 2.4744

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Answer:

I think that's 1

Step-by-step explanation:

but not sure

Answer:

1100 for $1200

Step-by-step explanation: it is

1200/1100 is 1.09

1100/1000 is 1.1

Answer:

Sod installation in an average 1/5-acre, or 8,712 square foot, yard costs $8,715 to $17,430. ... Expect sod installation to cost $1,000 to $6,000 for small yards that are between 1,000 and 3,000 square feet. ... Tulsa, Oklahoma, $1,100-$2,300.

This is my answer i think its correct tell me if it is..........?

Answer:

the rate of change is $1.50 per mile

Step-by-step explanation:

this is because x is the amount of miles, so if it is $1.50 for every mile then every mile that is traveled you are to pay $1.50

To construct the matrix A using eigenvectors and eigenvalues, we normalize the given eigenvectors to obtain orthonormal vectors. We then form an orthogonal matrix P by arranging the orthonormal eigenvectors as columns. Next, we create a diagonal matrix D with the eigenvalues along the diagonal. Finally, we compute A using the formula A = PDPT.

(a) To normalize the eigenvectors, we divide each vector by its magnitude to obtain unit vectors. The normalized eigenvectors are:
v₁ = [1/√2, 1/√2, 0]
v₂ = [1/√3, -1/√3, 1/√3]
v₃ = [1/√6, -1/√6, -2/√6]
(b) To construct the matrix A, we form an orthogonal matrix P using the orthonormal eigenvectors as columns:
P = [v₁, v₂, v₃] = [[1/√2, 1/√3, 1/√6], [1/√2, -1/√3, -1/√6], [0, 1/√3, -2/√6]]
Next, we create a diagonal matrix D with the eigenvalues along the diagonal:
D = diag, -3, 12])
Finally, we compute A using the formula A = PDPT:
A = PDPT = [[1/√2, 1/√3, 1/√6], [1/√2, -1/√3, -1/√6], [0, 1/√3, -2/√6]] diag([8, -3, 12]) [[1/√2, 1/√3, 1/√6].T, [1/√2, -1/√3, -1/√6].T, [0, 1/√3, -2/√6].T]
Performing the matrix multiplication, we obtain the matrix A:
A = [[4, 0, 0], [0, -1, 0], [0, 0, 12]]
Therefore, the matrix A, constructed using the given eigenvectors and eigenvalues, is:
A = [[4, 0, 0], [0, -1, 0], [0, 0, 12]]

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Answer:

x ≥ $14.05

Step-by-step explanation:

I subtracted 45.95 from 60 to find how much she had left, which amounts to 14.05. I used x as the amount she can spend, and the inequality is as such.

Answer: she can spend $14.05

Step-by-step explanation:

$60-$45.95=$14.05

Answer:

x=1 y=10

√1+10=11

1+√10=4.16≈4

Answer:

1/12

Step-by-step explanation:

the question is asking to subtract a from b, which is the same as asking to find a-b

answer = 5/6 - 3/4

= 10/12 - 9/12 (lowest common multiple of 6 and 4 is 12)

= 1/12

if you dont know how to find lowest common multiple by prime factorisation, you can make the common denominator 6x4 instead which is 24, so

5/6 - 3/4 = 20/24 - 18/24

=2/24 = 1/12

Answer:

this answer is for a different type ex the ratio of red roses to WHITE roses

Step-by-step explanation:

8:4 ÷2

2:1

The ratio of number of red roses to the number of all roses is given by the proportion 2 : 3

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the equation will be

The number of white roses = 4 white roses

The number of red roses = 8 red roses

So , the total number of roses = 4 + 8

The total number of roses = 12 roses

Now , the ratio will be

The number of red roses to number of total roses is

A = 8 : 12

A = 8/12

A = 2/3

Therefore , the proportion is 2 : 3

Hence , the proportion is 2 : 3

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Answer:

See below

Step-by-step explanation:

Given a polygon with vertices

Translation rule is

New coordinates are

Answer:his answer is right

Step-by-step explanation:

Answer: 9^2 (81)+8^2(64)=12.04^2(144.97) which rounded/estimated is equal to 145

Answer:

12$!❤️

Step-by-step explanation: