Which unit cost represent the following : (Round to the nearest hundredths)

You can buy 7 cups of coffee for $43.28

- $6
- $6.18
- $0.16

The solution for the given homogeneous second-order linear recurrence relations with constant coefficients is as follows:

(i) an = 7an-1 - 10an-2 for n >= 2, where a0 = 0 and a1 = 1
To find the solution for this equation, we can use the characteristic equation:
r^2 - 7r + 10 = 0
Solving this equation, we get:
(r - 5)(r - 2) = 0
So, r1 = 5 and r2 = 2
The general solution for this equation is:
an = c1 * 5^n + c2 * 2^n
Using the initial conditions, we get:
a0 = 0 = c1 + c2
a1 = 1 = 5c1 + 2c2
Solving this system of equations, we get:
c1 = 1/3 and c2 = -1/3
So, the solution for this equation is:
an = (1/3) * 5^n + (-1/3) * 2^n
(ii) an = 8an-1 - 16an-2 for n >= 2, where a0 = 2 and a1 = 20
To find the solution for this equation, we can use the characteristic equation:
r^2 - 8r + 16 = 0
Solving this equation, we get:
(r - 4)^2 = 0
So, r1 = r2 = 4
The general solution for this equation is:
an = c1 * 4^n + c2 * n * 4^n
Using the initial conditions, we get:
a0 = 2 = c1
a1 = 20 = 4c1 + 4c2
Solving this system of equations, we get:
c1 = 2 and c2 = 3
So, the solution for this equation is:
an = 2 * 4^n + 3 * n * 4^n
Therefore, the solutions for the given homogeneous second-order linear recurrence relations with constant coefficients are an = (1/3) * 5^n + (-1/3) * 2^n and an = 2 * 4^n + 3 * n * 4^n.

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Answer:

m < 2 = 38°

Step-by-step explanation:

The exterior angle with the measure of < 38° corresponds to m < 2 (as they are corresponding angles that lie on the same side of the transversal). Therefore, m < 2 = 38°.

Answer:

A=-6

Step-by-step explanation:

Answer: i am not sure either, let me know when you find out.

Step-by-step explanation: lol:)

The inequality which are true is 10pi>30 option B and pi+4>7 option D

In mathematics, "inequality" refers to a connection between two expressions or values that are not equal to one another.

In mathematics, larger than symbol (>), less than symbol (), less than or equal to symbol (), and not equal to symbol () are the five inequality symbols.

When resolving an inequality, you can do one of the following: • Add the same amount to each side; • Subtract the same amount from each side; • Multiply or divide each side by the same positive amount. You must flip the inequality sign if you multiply or divide either side by a negative number.

We know the value of pi is 3.14

Hence substituting the value of pi and putting it in different equations we get that

option b is 10pi>30

31.4>30

and pi+4>7 option D

7.14>7

hence, option b and d is the answer

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9899 is the largest value that can be obtained by subtracting a 3 digit number from a 4 digit.

The largest value that can be obtained by subtracting a 3 digit number from a 4 digit.

The largest value can be obtained by subtracting the smallest 3 digit number from the largest 4 digit number.

Smallest 3 digit number = 100

Largest 4 digit number = 9999

Largest value obtained by subtracting the smallest 3 digit number from the largest 4 digit number = 9999 - 100 = 9899.

Therefore, 9899 is the answer.

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Answer:

Keep going! If needed, round your answer to the nearest cent.

per notebook

per pound

5 notebooks for $7.37

14 pounds of broccoli for $2.24

$12.48 for 16 quarts of potting soil

6-pack of pens for $9.69

per quart

per pen

He can wear 8 different outfits to school.

We have,

The boy can choose one pair of pants, one shirt, and one tie can be written as an expression as:

= 1 × 1 × 1

= 1 way.

He can choose one jacket in 8 ways.

Therefore, he can wear can be written as an expression as:

= 1 × 1 × 1 × 8

= 8 different outfits.

Thus,

He can wear 8 different outfits to school.

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Answer:

487.5

Step-by-step explanation:

975/2

BRAINLYEST PLEASE

Answer:

487.5 miles per hour

Step-by-step explanation:

to find average simply divide 975÷2

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

her mom spent 11 dollars

Step-by-step explanation:

20-9 is 11

Answer:

Her mom spent $11

Step-by-step explanation:

$20-9= $11

The face of a cube is in the shape of square :

The area of one face of cube is 6 in²

i.e. Area of square = 6 in²

Since the general expression for the area of square is Side x Side

The general expression for the total surface area of cube is : 6 side²

Substitute the value of side :

Total surface area of cube is 36 in²

The length of the slide is 14 to the nearest tenth of a foot.

A right-angle triangle is defined as a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right-angle is always 90 degrees.

We are given the paramters;

Let a: distance from the top of the ladder to the ground = 9 ft

b: distance from the bottom of the ladder to the bottom of the slide = 11 ft

c: length of the slide

From Pythagorean theorem:

c² = a² + b²

c = √(9² + 11²)

c = 14.21 ft

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Answer:

10,000

Step-by-step explanation:

Answer:

2

3?

9?

10000.

Step-by-step explanation:

A 5 × 3 matrix A has 3 pivot columns. Col A is a subspace of \(R^5\) with dimension 3, and Nul A is not equal to \(R^2\); it has a dimension of 0.

Suppose a 5 × 3 matrix A has 3 pivot columns. A pivot column is a column in a matrix that has a leading 1 (pivot position) after performing row reduction. Having 3 pivot columns in matrix A means there are 3 linearly independent columns.
Now, let's consider the two parts of your question:
1. Is Col A = R^5?
Col A represents the column space of matrix A, which is the span of its linearly independent columns. Since A is a 5 × 3 matrix with 3 linearly independent columns, the dimension of Col A (the column space) is 3. Therefore, Col A is a subspace of \(R^5\), but not equal to \(R^5\).
2. Is Nul A = \(R^2\)?
Nul A represents the null space of matrix A, which is the set of all solutions to the homogeneous system Ax = 0. The dimension of the null space called the nullity of A, is equal to the number of columns minus the number of pivot columns. In this case, nullity(A) = 3 (number of columns) - 3 (pivot columns) = 0. This means Nul A has a dimension of 0, not 2, and consists only of the zero vector. So, Nul A ≠ \(R^2\).
To summarize, Col A is a subspace of \(R^5\) with dimension 3, and Nul A is not equal to \(R^2\); it has a dimension of 0.

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Answer:

156 and is greater by 141

Step-by-step explanation:

156>15

156-15=141

Step-by-step explanation:

To compare the two predictions, we need to convert the units of measurement to the same unit. We can do this by converting 15 feet to inches.

1 foot = 12 inches

Therefore, 15 feet = 15 x 12 = 180 inches.

So, the first meteorologist predicted 180 inches of snow.

Now, we can compare the two predictions:

- First meteorologist: 180 inches

- Second meteorologist: 156 inches

The first meteorologist's prediction is greater by:

180 - 156 = 24 inches

Therefore, the first meteorologist's prediction of 15 feet of snow at Mount Rainier is greater than the second meteorologist's prediction of 156 inches of snow by 24 inches.

Answer:

K= 18

Step-by-step explanation:

1 and 8 are exact opposites so they equal eachother

so

3k-7=5k+29

subtract 3k to 5k and add 7 to 29

2k=36

then divide 36 by -2

so K = 18

Answer:

2. I) BOC

3. AOF

4. EOC

Explanation:

opposite vertical a gals are angles that are equal to each other and oppsit to each other too all of these are opp to the angle given

Answer:

2z-6w

Step-by-step explanation:

Answer:

-6w+2z

Step-by-step explanation:

The correct answer is:

a) r gives the instantaneous growth rate; lambda gives the growth rate over a discrete time interval.

The difference between r and lambda lies in the way they represent growth rates.

"r" (intrinsic growth rate or per capita growth rate) is used to describe the instantaneous growth rate of a population. It is often used in continuous-time models, such as exponential growth models. The value of "r" indicates the rate at which a population grows or declines at any given moment.

"Lambda" (also known as finite rate of increase) represents the growth rate over a discrete time interval, such as a generation or a specific time period. Lambda is commonly used in discrete-time models, such as matrix population models. It quantifies the relative change in population size from one time period to the next.

Therefore, r and lambda capture growth rates, but they differ in terms of the time frame they consider and the type of population growth models they are associated with.

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Answer:

your answer is A. 49 miles

Step-by-step explanation:

well every 7 miles she stops for a drink of water. So you multiply 7x7 which you should know is 49

Given:

The figure of an algebraic tiles model of an inequality.

To find:

The inequality for the given model.

Solution:

On the left hand side of the inequality sign in the model we have 8 tiles of x and 12 tiles of 1. So,

\(LHS=8(x)+12(1)\)

\(LHS=8x+12\)

On the right hand side of the inequality sign in the model we have 12 tiles of -1. So,

\(RHS=12(-1)\)

\(RHS=-12\)

Now, the inequality for the given model is:

\(8x+12\geq -12\)

Therefore, the required inequality for the given model is \(8x+12\geq -12\).

The formula to calculate the cost to rent Toyota Etios is R15 + R3 n.

The formula to calculate the cost to rent VW Polo Vivo is R11.50 + R3 n.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have the formula used to calculate the cost to rent the Ford Figo is cost (in rand)= R900 + R7 x n.

Now, Toyota Etios cost R15 per Km and per km charge will be R3.

So, the formula to calculate the cost to rent is

= R15 + R3 n

and, VW Polo Vivo cost R11.50 per Km and per km charge will be R3.

So, the formula to calculate the cost to rent is

= R11.50 + R3 n

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The null and alternative hypotheses for the multinomial Goodness-of-Fit test are H0: p1 = p2 = p3 = p4 = p5 = p6 = 1/6 and H1: At least one of the proportions is different from the others, respectively.

Using a 6-sided die to choose the next quiz question, you collected 124 samples and recorded the observed frequencies for each number rolled. To conduct the Goodness-of-Fit test, you need to calculate the expected frequencies for each number rolled assuming a fair die (where each face has a probability of 1/6).

After completing the table of observed and expected frequencies, you determine the degree of freedom for the test, which is equal to the number of categories minus 1, resulting in 5 degrees of freedom.

Next, you calculate the test statistic using the formula:

test-statistic = Σ[(Observed Frequency - Expected Frequency)² / Expected Frequency]

Once you have the test statistic, you can determine the p-value by comparing it to the chi-square distribution with 5 degrees of freedom.

Based on the obtained p-value and the significance level of α = 0.1, you can make a decision regarding the null hypothesis. If the p-value is greater than α, you fail to reject the null hypothesis, indicating that there is not sufficient evidence to conclude that not all 6 categories are equally likely to be selected. However, if the p-value is less than α, you reject the null hypothesis, suggesting that not all categories are equally likely.

Finally, the conclusion would state whether there is sufficient evidence or not to support the claim that the die is not fair at the given significance level of α = 0.1, based on the analysis of the sample data and the results of the Goodness-of-Fit test.

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