-An internatinal call costs $9.35 for 32 minutes. What is the cost per minute?​

Answer:

Rational

Step-by-step explanation:

A rational number is a number expressed as a fraction. So the number could be a decimal or percent.

Hope This Helps :)

Step-by-step explanation:

-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4

aince 24 cookies is exactly half of 48 cookies you will have to half the cups of flour and since half of 3 cups is 1 1/2 cups the answer is 1 1/2 cups of flour

Answer:

54

Step-by-step explanation:

45% * 120 = 54

Choose one point on the graph of the

proportional relationship and explain what

this point means in terms of the situation.

The value of KL as shown in the image is 12 units

An equation is an expression that shows how numbers and variables using mathematical operators.

Two triangles are said to be similar, if the ratio of their corresponding sides are in the same proportion.

For the triangle shown, since triangle XYZ is similar to triangle JKL, hence:

KL/XY  = KJ / XZ

substituting, KJ = 10.44:

KL / 8.7 = 11.31 / 8.2

KL = 12

The value of KL is 12 units

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The angle that is complementary to angle X is 90 degrees minus angle X.

1. Complementary angles are two angles whose sum is 90 degrees.

2. Let's assume that angle X is given.

3. To find the angle that is complementary to angle X, we need to subtract angle X from 90 degrees.

4. The formula to find the complementary angle is: Complementary Angle = 90 degrees - angle X.

5. Substitute the value of angle X into the formula to calculate the complementary angle.

6. For example, if angle X is 45 degrees, the complementary angle would be: 90 degrees - 45 degrees = 45 degrees.

7. Similarly, if angle X is 60 degrees, the complementary angle would be: 90 degrees - 60 degrees = 30 degrees.

8. Therefore, to find the complementary angle to any given angle X, subtract that angle from 90 degrees.

9. The result will be the measure of the angle that is complementary to angle X.

10. Remember that complementary angles always add up to 90 degrees.

11. By using this approach, you can find the complementary angle for any given angle X.

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Answer:

No

Step-by-step explanation:

They are similar

Answer:

Congruent triangles Two or more triangles that have the same size and shape are called congruent triangles. The four triangles are congruent with each other regardless whether they are rotated or flipped. The congruence of two objects is often represented using the symbol

Step-by-step explanation:

The z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.

The z-scores will not change if you convert the height measurements from inches to centimetres or vice versa. The z-score is a standard score representing the number of standard deviations, a value above or below the mean of a normal distribution.

The z-score is calculated using the formula z = (x - mean)/standard deviation, where x is the value being compared to the mean and standard deviation of the distribution.

Converting the height from inches to centimetres or vice versa will only change the units of measurement, but the relative position of a value within the distribution will remain unchanged.

Therefore, the z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.

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for 12 pack of soap : 12/9=$1.33 per soap

for 5 pack of soap : 3.5/5=$0.70 per soap

#5 pack soap better to buy

The excel statement to estimate the test average of these 4 grades is -

An average is the sum of many numbers divided by the total of numbers. It is also known as the arithmetic mean.

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Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer:

The correct answer is in the image!

Step-by-step explanation:

Hope that helps!

\(\tt \large \red\leadsto\: \: \frac{421}{18} \: = \: 23 \times \frac{7}{8} \\ \)

Answer:

25 cups of tea

Step-by-step explanation:

On the x-axis, we have the number of cups of coffee plotted against the number of cups of tea which are plotted on the y-axis to represent the daily sales goals.

From the graph, when 20 cups of coffee are sold (x = 20), a corresponding sales of 25 cups of tea (y = 25) would be sold as well to meet the sales goal.

Therefore, when employees sell 20 cups of coffee, 25 cups of tea must be sold to meet their goal.

Yes, it is possible for a game to have a minimax value that is strictly larger than the expectimax value. This can happen when the game involves hidden information or random events that affect the outcome of the game.

In such cases, the minimax algorithm assumes that the opponent always makes the best possible move, while the expectimax algorithm takes into account the probability of different outcomes based on the random events or hidden information. As a result, the minimax value may be higher in some cases, while the expectimax value may be higher in others.

Yes ,it is possible to have a game where the minimax value is strictly larger than the expectimax value. In such a scenario, the minimax algorithm would assume perfect play by both players, leading to a higher value, while the expectimax algorithm would consider the probabilities of different moves, often resulting in a lower value due to less-than-perfect play being factored into the calculations.

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The appropriate statement for the null hypothesis is "the depression status and caffeinated coffee consumptions are independent."

The statement that is not appropriate for the null hypothesis according to hypothesis testing is "the levels of depression status and caffeinated coffee consumptions are equally likely."

This statement implies that there is an equal chance of having different levels of depression status and different levels of caffeinated coffee consumption, which is not a suitable assumption for the null hypothesis.

The null hypothesis should state that there is no significant relationship between the two variables, and the distribution of one variable does not depend on the distribution of the other variable.

Therefore, the appropriate statement for the null hypothesis is "the depression status and caffeinated coffee consumptions are independent."

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Step-by-step explanation:

The area = base × height

= 12 × 17 = 204

the perimeter = 2(17 + 15) = 2 × 32 = 64

please give me a brainliest answer

Answer:

x = 12

Step-by-step explanation: You start off with this

3x + 2

Then since AC is 38 you make it

3x+2=38

Then you do -2 getting rid of the 2 and doing 38 - 2 which is 36

you now have:

3x = 36

then you do 3x divided by 3 on both sides

you do 36 divided by 3 then you get

x = 12

Answer:

11

Step-by-step explanation:

dude just use a calculator lol

Answer:

11 pieces of candy

Step-by-step explanation:

55 divided by 5=11

a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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The implicit general solution is:
x - 1 = -5/(5(1-y)^5)

The explicit solution for the initial value problem y(0) = 0 is:

y = 1 - ((x - 1)^(-1/5)).

To find the explicit solution for the initial value problem y(0) = 0 for the first-order separable equation y' = ((1-y)^6)/5, follow these steps:

Step 1: Separate variables
Rearrange the equation to separate the variables, y and x:
(dy/dx) = ((1-y)^6)/5
5 dy/((1-y)^6) = dx

Step 2: Integrate both sides
Integrate both sides with respect to their respective variables:
∫ 5 dy/((1-y)^6) = ∫ dx

Step 3: Evaluate the integrals
Evaluate both integrals:
-5/5(1-y)^5 = x + C1

Step 4: Solve for the constant, C1, using the initial condition y(0) = 0:
-5/5(1-0)^5 = 0 + C1
C1 = -1

Step 5: Write the implicit general solution:
x - 1 = -5/(5(1-y)^5)

Step 6: Solve for y to find the explicit solution:
(1-y)^5 = -1/(x - 1)
1 - y = ((x - 1)^(-1/5))
y = 1 - ((x - 1)^(-1/5))

The explicit solution for the initial value problem y(0) = 0 is y = 1 - ((x - 1)^(-1/5)).

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Answer:

3b/2 + 3

Step-by-step explanation:

The formula to calculate perimeter of rectangle is 2l + 2w

The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2

Using the formula to calculate perimeter you can substitute and calculate

p= 2l + 2w

p= 2(b/4 + 1/2) + 2(b/2 + 1)

p= 2b/4 +2/2 + 2b/2 +2

p= 1/2b + 1 + b + 2

p= 3/2b + 3

Simplified it's 3b/2 +3

Answer:

your number is 8

Step-by-step explanation:

28-4=24÷3=8

8x3=24+4=28

I hope it's right have a great day :)

Answer: 37 points

Step-by-step explanation:

Answer:

x = - 5

Step-by-step explanation:

Given y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = - 18 when x = 3 , then

- 18 = 3k ( divide both sides by 3 )

- 6 = k

y = -6x ← equation of variation

When y = 30 , then

30 = - 6x ( divide both sides by - 6 )

- 5 = x

Answer:

\(y \: varies \: directly \: as \: x \: mean \\ \: y \: increase \: or \: decrease \: with \: x \\ y = - 18 \: \: \: \: x = 3 \\ y = 30 \: \: \: x = ? \\ - 18 ? = 90 \\ ? = - 5 = x\)

Franco can read approximately 1.875 chapters of his history book in 1 hour, assuming his reading rate remains constant.

Franco read 3/8 of a chapter in 1/5 of an hour. To find out how many chapters he can read in 1 hour, we need to first determine his rate of reading.

To do this, we can set up a proportion:

3/8 of a chapter = x chapters
1/5 of an hour = 1 hour

Cross-multiplying, we get:

3/8 * 1 hour = x * 1/5

Simplifying:

3/8 = x/5

Cross-multiplying again:

15/8 = x

So Franco can read 15/8 or 1 7/8 chapters in 1 hour.

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The rank of matrix A can be determined based on the given information in the question is as follows.

The rank of a matrix refers to the maximum number of linearly independent columns (or rows) in the matrix. From the given information:

a. Since A has linearly independent columns, the rank is equal to n, where n is the number of columns.

b. If Null(A)={0}, it means that the only solution to the homogeneous equation Ax=0 is the trivial solution (where x=0). This implies that the columns of A are linearly independent. Since A is a 6-by-4 matrix, the rank is equal to the number of columns, which is 4.

c. The dimension of the null space (denoted as dim(Null(A))) is equal to the number of linearly independent solutions to the homogeneous equation Ax=0. In this case, dim(Null(A))=3, which means that there are 3 linearly independent solutions. Since A is a 5-by-6 matrix, the rank can be found by subtracting the dimension of the null space from the number of columns: rank(A) = 6 - dim(Null(A)) = 6 - 3 = 3.

d. The determinant of a square matrix measures its invertibility. If det(A) is non-zero, it means that A is invertible, and an invertible matrix has full rank. Therefore, the rank of A is equal to the number of columns, which is 3.

e. The dimension of the row space (denoted as dim(Row(A))) represents the number of linearly independent rows in A. Since dim(Row(A))=3, it means that there are 3 linearly independent rows. Thus, the rank of A is 3.

f. An invertible matrix is non-singular and has full rank. Therefore, if A is a 4-by-4 invertible matrix, its rank is equal to the number of columns, which is 4.

g. If the system Ax=b has either a unique solution or no solution, it means that the column space of A has dimension 3. Hence, the rank of A is 3.

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Answer:

x=6, y=3. (6, 3).

Step-by-step explanation:

3x-2y=12

3x+5y=33

--------------

-3x+2y=-12

3x+5y=33

-------------------

7y=21

y=21/7=3

3x-2(3)=12

3x-6=12

3x=12+6

3x=18

x=18/3=6

The chi-square value to test the hypothesis of random mating is 0.

To determine the chi-square value for testing the hypothesis of random mating in this population, we need to compare the observed frequencies of the blood types (M, MN, N) with the expected frequencies under the assumption of random mating.

First, we calculate the expected frequencies. Assuming random mating, the expected frequency for each blood type can be calculated by multiplying the total population size by the expected proportions for each blood type. The expected proportions can be obtained by dividing the total count for each blood type by the sum of all counts.

Total count: 550 + 725 + 225 = 1500

Expected proportions:

M: 550 / 1500 = 0.3667

MN: 725 / 1500 = 0.4833

N: 225 / 1500 = 0.1500

Expected frequencies:

M: 0.3667 * 1500 = 550

MN: 0.4833 * 1500 = 725

N: 0.1500 * 1500 = 225

Now we can calculate the chi-square value using the formula:

chi-square = Σ((observed frequency - expected frequency)^2 / expected frequency)

Calculating for each blood type:

For M: ((550 - 550)^2 / 550) = 0

For MN: ((725 - 725)^2 / 725) = 0

For N: ((225 - 225)^2 / 225) = 0

Summing the individual chi-square values: 0 + 0 + 0 = 0

The chi-square value is 0 (to the nearest hundredth) when testing the hypothesis of random mating in this population.

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