please tell me how to solve!!

Answer:

  -6

Step-by-step explanation:

You seem to want the value of q₃ in the matrix Q⁻¹.

The inverse matrix, Q⁻¹, is the transpose of the cofactor matrix, divided by the determinant. That makes q₃ = -q₂₁/det(Q):

  q₃ = -(-2/3)/((-1(-1/9) -(-2/3)(-1/3))

  q₃ = (2/3)/(1/9 -2/9) = (6/9)/(-1/9)

  q₃ = -6

__

Additional comment

The transpose of the cofactor matrix of a 2×2 matrix is the original with the diagonal terms swapped, and the off-diagonal terms negated. Basically, the only math involved in computing the inverse is finding the determinant, and dividing by it.

Answer:

B. B is 0.535; It is a decay factor.

Step-by-step explanation:

I calculated it logically

Answer:

B. b is 0.535; It is a decay factor.

Answer:

18. 2,047.5 yd³

19. 3204 in.²

Step-by-step explanation:

18. Volume of triangular prism = triangular base area × height of prism

Height of prism = 21 yd

Triangular base area = ½*b*h

b = 15 yd

h = √(15² - 7.5²) = √168.75 ≈ 13 yd

Triangular base area = ½*15*13 = 97.5 yd²

Plug in the values into the formula of the volume of prism

Volume of prism = 97.5 × 21

= 2,047.5 yd³

19. Surface area = 2πrh + 2πr²

Where,

r = 15 in.

h = 19 in.

Plug in the values

Surface area = 2*π*15*19 + 2*π*15²

Surface area = 3204.42 ≈ 3204 in.² (nearest whole number)

Therefore the predicted full rear repair cost would be $1211.576 if y=2060-0.186x is the line of regression of a table of values comparing for front crash repair cost.

When modeling the connection between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable, while multiple linear regression is used when there are numerous variables.

Physical values known as scalars are unaffected by modifications to the vector space basis. Scalars frequently include units of measurement, such as "10 cm." Scalar quantities include things like mass, space, charge, volume, time, speed, and the overall size of physical vectors.

To predict the full rear repair cost from a full front repair cost of $4594, you would substitute 4594 for x in the equation y = 2060 - 0.186x and solve for y.

y = 2060 - 0.186(4594)

y = 2060 - 848.424

y = 1211.576

So the predicted full rear repair cost would be $1211.576

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Answer:

$1,206

Step-by-step explanation:

Due to the fact that element 1 relates to two distinct images, namely 3 and 5. The relationship hence is not a function.

Therefore,

(i) {(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)

Every input has a single output, proving that it is a function.

The elements in the domain of the provided relation are therefore 2,5,8,11,14, and 17.

Here, domain is equal to two and range is one.

(ii) (2,1),(4,2),(6,3),(8,4),(10,5)(12,6),(14,7)

Every input has a single output, proving that it is a function.

Therefore, 2, 4, 6, 8, 10, 12, and 14 make up the domain of the provided relation.

Here, range is 1,2,3,4,5,6,7 and domain is 2,4,6,8,10,12,14.

(iii) (1,3),(1,5),(2,5)

Due to the fact that element 1 relates to two distinct images, namely 3 and 5. The relationship hence is not a function.

The complete question is:

Which of the following relations are functions? Give reasons.

If it is a function determine its domain and range

(i) (2,1),(5,1),(8,1),(11,1),(14,1),(17,1)

(ii) {(2,1),(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)

(iii) {(1,3),(1,5),(2,5)

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Answer:

Step-by-step explanation:

[tex](13x - 3) + (6x + 1) + (68) = 180 \\ 19x + 66 = 180 \\ 19x = 180 - 66 \\ x = \frac{114}{19} \\ x = 6 \\ \\ \\ d = 13x - 3 \\ d = 13(6) - 3 \\ d = 75 \\ \\ e = 6x + 1 \\ e = 6(6) + 1 \\ e = 37 \\ \\ f = 68 \\ \\ check \: \: \: 75 + 37 + 68 = 180[/tex]

I hope that is useful for you :)

Answer:

200

Step-by-step explanation:

[tex]\frac{2}{5}[/tex] = [tex]\frac{80}{x}[/tex]

2 x 40 = 80, so

5 x 40 = 200

Answer:

200 houses

Step-by-step explanation:

Flat: 2 parts = 80 flats
1 part => 80 : 2 = 40 flats
Houses: 5 parts = 40 x 5 = 200 houses

a. The model represents exponential growth.

b. The annual percentage increase is 3%.

c. After 2390 decades the population was about 590000.

The formula for exponential growth is [tex]y = y_₀.e^{(kt)}.[/tex]

The formula for exponential decay is [tex]y = y_₀.e^{(-kt)}.[/tex]

Given, The population P(in thousands) of Austin Texas during a recent decade is approximated by [tex]y = 492(1.03)^t[/tex].

The model represents exponential growth as time can not be negative.

The annual percentage increase in the model [tex]y = 492(1.03)^t[/tex] is 3%

as 1.03×100% = 103%.

The time when the population was about 590000 since the beginning of a decade is,

[tex]590000 = 492(1.03)^t[/tex].

[tex](1.03)^t = 590000/492[/tex].

[tex](1.03)^t = 1199.1869[/tex].

[tex]log_{1.03}1.03^t = log_{1.03}1199.1869[/tex].

t = 2389.84 Or 2390 decades.

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Answer:

763.02

Step-by-step explanation:

(3.14 x 4.5^2)12 = 763.02

The solution of the equation x² - 4x + 6 = 0 using completing the square is x = 2 ± √(-2)

An equation is used to show the relationship between numbers and variables.

Polynomial can be classified based on degree of two as a quadratic equation.

Given the equation:

x² - 4x + 6 = 0

Solving using completing the square method:

subtract 6 from both sides:

x² - 4x = -6

add to both sides the square of half the coefficient of x:

x² - 4x + 4 = -6 + 4

(x - 2)² = -2

Taking square root of both sides:

x - 2 = ±√(-2)

x = 2 ± √(-2)

The solution is x = 2 ± √(-2)

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Percentage of chocolates Jim given to his family is 11.11%.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Jim made 45 treats for his birthday. He gave 5 away to his family before taking the rest to school.

Now, percentage of chocolates Jim given to his family

= 5/45 ×100

= 0.1111 ×100

= 11.11%

Therefore, percentage of chocolates Jim given to his family is 11.11%.

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Answer:

Step-by-step explanation:

If there are 12 cookies in a package and you want to buy 4 packages, you will need a total of 12 x 4 = 48 cookies.

If you have a dozen eggs and you want to make 4 omelets, you will need a total of 12 x 4 = 48 eggs.

If you have 12 pieces of fruit and you want to make 4 fruit salads, you will need a total of 12 x 4 = 48 pieces of fruit.

Answer:

0.125

Step-by-step explanation:

5/40 simulated results were at or below mean 16.5

The approximate p-value of the test that's given in this scenario will be p-value = 0.125.

P-value simply means the probability that a test statistic can be seen to be extreme or more.

From the complete question, the approximate p-value of the test is 0.125. The p-value measures the probability that a difference could have taken place by random chance.

In conclusion, the observed difference in this case can be attributed to chance by 12.5%.

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Answer:

The estimated total cost for 20 spinners is $3.2.

Step-by-step explanation:

To find out how much Braulio would pay for 20 spinners, we can first calculate the unit rate (price per spinner), and then use that to estimate the total cost of 20 spinners.

The unit rate is the price of a single item (spinner in this case) divided by the number of items. In this case, the unit rate is:

$5.44 / 34 spinners = $0.16 (approximately)

We can now use this unit rate to estimate the total cost of 20 spinners by multiplying it by the number of spinners:

20 spinners * $0.16/spinner = $3.2

So the estimated total cost for 20 spinners is $3.2.

In this process, we first found out the unit rate i.e how much one spinner costs, which is $0.16. We then multiplied the unit rate with the number of spinners we wanted to buy. By doing this, we were able to estimate the total cost of buying 20 spinners. It's important to note that this is an estimate, as the actual cost may be slightly different due to rounding or other factors. However, the unit rate method provides a useful way to quickly estimate the cost of a purchase when the unit price and quantity are known.

Answer:

Point Form:

(0,2)

Equation Form:

x=0,y=2

Step-by-step explanation:

Statement D is false, -1 ≠ -(-1) because -1 ≠ 1

Answer:

The formula for finding Slope Intercept Form is y = mx + b.

Step-by-step explanation:

Y - Y coordinate

M - Slope

X - X coordinate

B - Y Intercept

This formula is used for finding the equation of a line.

Answer:

C. If the value of x increases by 1, the value of y will triple.

Step-by-step explanation:

I calculated it logically

Answer:

23

Step-by-step explanation:

FH=FG+GH

FH=11+12

FH=23

Answer:

27 and 16

27 + 16 = 43

And the difference between them ( 27-16) = 11

Step-by-step explanation:

Answer:

Make sure to keep track of the signs of the variables. If you add or subtract a variable on one side of the equation, you must do the same to the other side.

Don't forget to distribute if you have a variable inside parentheses. For example, if you have 3x + 2(x + 4) = 7, you would need to distribute the 2 to get 3x + 2x + 8 = 7.

When solving for a variable, make sure to perform the same operation on both sides of the equation to isolate the variable. For example, if you want to solve for x in the equation 3x + 2 = 7, you would need to subtract 2 from both sides to get 3x = 5.

Therefore, the solution of given problem of percentage  indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.

A% is a number that expresses a quantity as a percentage of 100; it can also be expressed as a decimal or a fraction. Placing 100 in the denominator and the percentage value in the numerator will allow you to convert a percentage to a fraction.

Here,

Before any changes,

let w represent the size of the workforce. There are:

50 percent growth is equivalent to increasing by 1.5, therefore w(2000) = w(1999) * 1.5

A 50% drop is equal to dividing by 1.5, therefore w(2001) = w(2000)/1.5

Reverse the first equation to create the second equation.

w(2001) = w(1999) * 1.5/1.5

Remove the 1.5 from the top and bottom so that w(2001) = w (1999)

Therefore, this indicates that from the beginning of 2000 and the end of 2001, there was no net change in the workforce.

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Here's link[tex]^{}[/tex] to the answer:

bit.[tex]^{}[/tex]ly/3gVQKw3

Answer:

rate of change = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{3}{4}[/tex] x - 2 ← is in slope- intercept form

with slope m = [tex]\frac{3}{4}[/tex]

the slope is a measure of the rate of change , then

rate of change = [tex]\frac{3}{4}[/tex]

9514 1404 393

Answer:

  $2604

Step-by-step explanation:

The tax due on $50,000 is ...

  0.02(2000) +0.05(9000 -2000) +0.054(50000 -9000)

  = 0.054(50000) -9000(0.054 -0.05) -2000(0.05 -0.02)

  = 2700 -36 -60

  = 2604 . . . . dollars tax due

By taking a quotient, we will see that each cheetah has around 51 acres for itself.

If we assume that the cheetahs are evenly distributed along the whole area, then the number of acres that each cheetah has to itself is equal to the quotient between the total area, and the total number of cheetahs.

There are 969 acres and 19 cheetahs, then the quotient is:

969/19 = 51

That is the number of acres that each cheetah has for itself.

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The expression which could be used to determine the product of -4 and 3 and one-fourth as required is; negative 4) (3) + (negative 4) (one-fourth).

As evident in the task content; the expression which could be used to determine the product of; -4 and 3 and one-fourth is required to be determined.

Since the given expression is; -4 and 3 and one-fourth; we have that;

-4 × 3 ¼

However, since 3 ¼ can be written as; ( 3 + ¼ ), it follows that we have;

-4 × ( 3 + ¼ )

Ultimately, the resulting expression using the distributive property is;

( -4 ) ( 3 ) + ( -4 ) ( ¼ )

Therefore, the correct answer is; (negative 4) (3) + (negative 4) (one-fourth).

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Answer:

area of square =length × length ×height

=6×6×8

=288