For the matrices below. Find all (real) eigenvalues.

A= [7 9]
[0 9]

Answer:

1296

Step-by-step explanation:

the y is multiplying by six each time 6*6 = 36

36*6 = 216

216*6 = 1296

2196 = 7776

Answer:

D. 0.85

Step-by-step explanation:

The data points in the scatter plot are closer to each other along the line of best fit, this means that there is a strong positive association between minutes and distance and therefore, the correlation coefficient would be relatively closer to 1.

The correlation is positive since both variables tend to increase together in the same direction.

Therefore, the best estimate of the correlation coefficient out of the given options would be 0.85

Answer:

a

Step-by-step explanation:

Answer:

148.59

Step-by-step explanation:

Inflation is kind of similar to interest and with that bieng said we can (kind of ) use the same formula

the time between 2034 and 2014 is 2034-2014= 20

100(1.02)²⁰=148.5947396

which we can round to 148.59

148.5 is the cost in 2034 of an item that costs $100 in 2014

Simple interest is a quick and easy method of calculating the interest charge on a loan

[tex]A=P(1+r)^{t}[/tex]

where A is the Actual amount

P is Initial amount

t is time period

r is rate of interest

Given,

The rate of inflation measures the percentage increase in the price of consumer goods

The rate of inflation in the year 2014 was 2% per year.

2% is converted to decimal by dividing with 100

2/100=0.02

The time gap between 2014 and 2034 is

2034-2014=20 years

The initial amount is 100

A=100(1+0.02)²⁰

A=100(1.02)²⁰

A=100×1.485

A=148.5

Hence 148.5 is the cost in 2034 of an item that costs $100 in 2014.

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Answer:

E) 16

Step-by-step explanation:

4 * 4 = 16

Hope this helps

The solution is Option C.

The number of games played by 4 teams if they play each other only once is given by combinations and is 6 games

What are Combinations?

The number of ways of selecting r objects from n unlike objects is:

ⁿCₓ = n! / ( ( n - x )! x! )

where

n = total number of objects

x = number of choosing objects from the set

Given data ,

Let the total number of teams be n = 4 teams

Each team plays the other team only once , so x = 2

The number of games played by 4 teams if they play each other only once is given by Combination

ⁿCₓ = n! / ( ( n - x )! x! )

Substituting the values in the equation , we get

⁴C₂ = ( 4! ) / 2! x 2!

On simplifying the equation , we get

⁴C₂ = ( 4 x 3 ) / 2 x 1

⁴C₂ = 2 x 3

⁴C₂ = 6 games

Therefore , the value of ⁴C₂ =6

Hence , the number of games is 6 games

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Answer:

d). 14 and 240

Step-by-step explanation:

According to the Question,

We need to find out the numerator and denominator freedom degrees ,

k = 14 regression variable

= n - k - 1

= 255 - 14 - 1

= 240 residuals

df=14,240

F_{k,n-k-1}=F_{14,240}

So, The df of the numerator is 14 and df of the denominator is 240

Answer:

x=4 y=0

Step-by-step explanation:

7(4)-5(0)=28

28-0=28

28=28

Answer:

52/63

Step-by-step explanation:

Given the expression

4/7 * 13/9

Taking the product

= (4*13)/(7*9)

= 52/63

Hence the product of both fractions is 52/63

Answer:

-8/32 or -1/4(if simplified)

Step-by-step explanation:

-15+7 = -8

-8/32 or -1/4

Answer:

...

Step-by-step explanation:...

Answer:

The generator will run for 6 hours.

Step-by-step explanation:

First, find the volume of the gas tank that is on the generator. I am told that the gas tank is a rectangular prism that has the dimensions of 20 cm, 15 cm, and 10cm.

Area of any prism = height * width * length

Area of prism = 20 cm * 15 cm * 10 cm = 3,000 cm cubed

I am told the important info that 1,000 cm cubed = 1 liter

Therefore, 3,000 cm cubed = 3 liters

I am also told that the generator will run for 2 hours on 1 liter of gas

Lets make a ratio table:

Hours the generator will run for : liters of gas

                                                   2 : 1

                                                   6 : 3

the generator will run for 6 hours.

Answer: not sure

but I need points

Step-by-step explanation:

JUST KIDDING It’s A I did this in school before and got it correct :)

Answer:

1: x intercept:2 y intercept:5

2: x intercept:-7 y intercept:1

3: x intercept:2 y intercept:-2

4: x intercept: 1 y intercept: -2

Step-by-step explanation:

The y intercept is whenever the x unit is at 0, and the x intercept is whenever the y intercept is at 0.  

(-5/2;5)           (1/7;1)            (1;-2)           (2;-2)

Answer:

C. 3/8

HOPE THIS HELPS :)

Answer:

c. 3/8

Step-by-step explanation:

first you need the denomerator by adding all marbles together which equals 32. now for the munerator you need the sum of the green and yellow marbles. this equals 12. so your fraction is 12/32. next we simplify. we can divide both numbers by 4. getting us a fraction of 3/8.

Answer:

hey. pls post a pic of the pattern or type in the number of sticks in each term so we could help tou determine the nth term

Answer:

Equation: y = 0.25x + 7.50

Cost: $10.50

Step-by-step explanation:

Let x be the number of miles and y be the total cost in $.

y = 0.25x + 7.50

If we want to find the total cost of a 12 mi trip, we plug in x=12.

y = 0.25 * 12 + 7.50

y = 3 + 7.50

y=10.50

Answer:

a) V(3) = 8.6.

b) The resale value will be 7.3 thousand dollars at the start of 2015.

c) [tex]t(V) = \frac{12.5 - V}{1.3}[/tex]

d) 2017

Step-by-step explanation:

We are given the following function:

[tex]V(t) = 12.5 - 1.3t[/tex]

(a) Calculate V(3).

This is V when t = 3. So

[tex]V(3) = 12.5 - 1.3(3) = 8.6[/tex]

So

V(3) = 8.6.

(b) In what year will the resale value be 7.3 thousand dollars?

t years after the start of 2011, and t is found when [tex]V(t) = 7.3[/tex]. So

[tex]V(t) = 12.5 - 1.3t[/tex]

[tex]7.3 = 12.5 - 1.3t[/tex]

[tex]1.3t = 5.2[/tex]

[tex]t = \frac{5.2}{1.3}[/tex]

[tex]t = 4[/tex]

2011 + 4 = 2015

The resale value will be 7.3 thousand dollars at the start of 2015.

(c) Solve for t in the formula above to obtain a formula expressing t as a function of V.

[tex]V(t) = 12.5 - 1.3t[/tex]

[tex]1.3t(V) = 12.5 - V[/tex]

[tex]t(V) = \frac{12.5 - V}{1.3}[/tex]

(d) In what year will the resale value be 3.4 thousand dollars?

t years after 2011, and t is found t when [tex]V = 3.4[/tex]. So

[tex]V(t) = 12.5 - 1.3t[/tex]

[tex]3.9 = 12.5 - 1.3t[/tex]

[tex]1.3t = 8.6[/tex]

[tex]t = \frac{8.6}{1.3}[/tex]

[tex]t = 6.62[/tex]

2011 + 6.62 = 2017

So the year is 2017.

Answer:

5

Step-by-step explanation:

The mode of a data set is the number that appears most

Answer:

8/3

Step-by-step explanation:

2/ (3/4) = 2*4/3 =8/3

Answer:

$26 per person or $23.125 per person for the bigger group

Step-by-step explanation:

Answer:

4/15 gallon per bottle

Step-by-step explanation:

First, we find the remaining fraction of fertilizer after using 1/5. Using our fraction calculator, we see:

1 - 1/5 = 4/5

To find the amount of fertilizer per bottle, we then divide 4/5 by 3 and we get:

4/15 gallon per bottle

Answer:

384950c or $3849.50

Step-by-step explanation:

240x1540=369600

100x125=12500

30x95=2850

369600+12500+2850=384950

Answer:

1. $950

2. 80

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The angle is in the 2nd quadrant, where the sine is positive and the cosine is negative.

tan^2(θ) +1 = sec^2(θ) = (-9/4)^2 +1 = 97/16   ⇒   sec = -(1/4)√97

cot(θ) = 1/tan(θ) = -4/9

csc^2(θ) = cot^2(θ) +1 = (-4/9)^2 +1 = 97/81   ⇒   csc = (1/9)√97

sin(θ) = 1/csc(θ) = (9√97)/97

cos(θ) = 1/sec(θ) = (-4√97)/97

Answer:

8

Step-by-step explanation:

Let the unknown number be x.

Therefore, we can write the question as a mathematical statement and this will be:

3x^2 - 137 = 55.  (Note: ^2 = to the power of 2 or "squared"

(In the question, we can break it up as being three times of a square of a natural number = (3x^2) and 137 is subtracted from = (- 137) and the result is 55 = (= 55). Therefore, this gives 3x^2 - 137 = 55

Then, we add 137 first to get rid of the (-137)

Therefore:

3x^2 = 192

Then, we divide 3 from both sides to get rid of the (3) in (3x^2).

Therefore,

x^2 = 64.

So, we square root 64. This gives

x = 8.

Therefore, the answer is 8.

Answer: A) (x + 12) and (x + 9)

Step-by-step explanation:

You need to get x^2 + 21x + 108.

A) (x + 12) (x + 9) = x^2 + 12x + 9x + 108 = x^2 + 21x + 108

B) (x - 12) (x - 9) = x^2 - 9x - 12x + 108 = x^2 -21x + 108

C) (x - 27) (x - 4) = x^2 - 4x - 27x + 108 = x^2 - 31x + 108

D) (x + 27) (x + 4) = x^2 + 27x + 4x + 31 = x^2 + 31x + 31

So, the answer is A).

Answer:

y+1=7(x+4) for first one

y-4=5(x-0) for second one

Step-by-step explanation:

point slope form for both of those questions.

the formula for point slope form is

y-y1(y coordinate) = slope(x+x2(x coordinate))

y+1=7(x+4)

Second question:

-1,-1 to 0,4

change in x +1, change in y +5.

5/1 = 5

slope is 5

y-4=5(x-0)

Start with the underlying homogeneous equation:

[tex]y''-7y'+6y=0[/tex]

which has characteristic equation

[tex]r^2-7r+6=(r-6)(r-1)=0[/tex]

with roots at r = 6 and r = 1. So the characteristic solution is

[tex]y_c=C_1e^{6x}+C_2e^x[/tex]

Now for the particular solution, we can use the method of undetermined coefficients, with the following ansatz (the "guess" solution) and its derivatives,

[tex]y_p=a\cos x+b\sin x[/tex]

[tex]{y_p}'=-a\sin x+b\cos x[/tex]

[tex]{y_p}''=-a\cos x-b\sin x[/tex]

Substituting these into the original equation gives

[tex](-a\cos x-b\sin x)-7(-a\sin x+b\cos x)+6(a\cos x+b\sin x)=\sin x[/tex]

[tex](5a-7b)\cos x+(7a+5b)\sin x=\sin x[/tex]

[tex]\implies\begin{cases}5a-7b=0\\7a+5b=1\end{cases}\implies a=\dfrac7{74},b=\dfrac5{74}[/tex]

So the particular solution is

[tex]y_p=\dfrac7{74}\cos x+\dfrac5{74}\sin x[/tex]

and hence the general solution is

[tex]y=y_c+y+p=\boxed{C_1e^{6x}+C_2e^x+\dfrac7{74}\cos x+\dfrac5{74}\sin x}[/tex]