Write an equation in
slope-intercept form to
represent the relationship
shown in the table.

Answer: I believe the answer is 36 but I'm not 100% sure.

Step-by-step explanation: 24/2=12

12x3=36

Answer: 36 ounces of ginger ale

Step-by-step explanation: 2/2=1 1x3=3 24/2=12 12x3=36

Answer:

assume X dollar is $100

If so then,

$100-10% =$90

Thus,

$90x125%=$112.5

In programming, a loop is a control structure that allows us to execute a block of code repeatedly. A for loop is a type of loop that is commonly used when we need to repeat a set of instructions for a specific number of times.

In this case, we want to print the integers 0 through 39, each value on a separate line.

Here's an example of a for loop in Python that accomplishes this:

for i in range(40):

   print(i)

In this loop, the variable `i` takes on the values 0 through 39, one at a time, on each iteration of the loop. The range(40) function generates a sequence of integers from 0 to 39, which is used to control the loop.

The print() function outputs the value of `i` to the console on each iteration, followed by a newline character which creates a new line for each value.

To break this down further, the 'for' keyword initiates the loop and the `in` keyword specifies the range of values for the loop. The `range()` function generates a sequence of integers starting at 0 and ending at 39.

The `print()` function outputs each value to the console followed by a newline character which creates a new line for each value. This loop will execute a total of 40 times, printing each value on a separate line.

In summary, the for loop is a powerful and flexible tool in programming that allows us to automate repetitive tasks. In this example, we used a for loop to print the integers 0 through 39, each on a separate line, in a concise and efficient manner.

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The following equation is m=d-10+k×i represent the total amount in account(m) in dollar.

Although the question does not specify the options, but I have specified my answer as follows:

Given:

The equation representing the total amount in the account, m, when starting with d dollars and being charged a 10$ fee.

Account Opening Charges: $10

Starting amount: $d

The total amount in the account: $m

Let us say the depositor deposits an amount $k for 'i' number of months

Banks deduct their charges from the account balance itself, hence account opening charges are deducted from the bank balance.

I have assumed an amount $k invested every month. You can remove that term as per the requirement of the question.

The total amount at a point in time = starting amount - Account Opening Charges + monthly deposit till that time

⇒m=d-10+k×i

This equation shows that the total amount in the account will be equal to the initial deposit minus the fee charged by the bank.

Therefore, the following equation is m=d-10+k×i.

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The null hypothesis get rejected comparing the 95% confidence interval to the proportion of the given central valley residents and bay area residents .

As given in the question,

Total number of voters in California = 7525

x₁ = Number of voters of central valley residents approved California legislature

   = 68

n₁ = Total number of voters of central valley residents

   = 200

x₂ = Number of voters of bay area residents approved California legislature

   = 156

n₂= Total number of voters of bay area residents

   = 300

p₁ = proportion of voters of central valley

p₂= proportion of voters of bay area

p₁ = x₁/ n₁

   = 68/200

   = 0.34

p₂ = x₂/n₂

    = 156/300

    = 0.52

Standard error = √p₁(1 -p₁) / n₁ + p₂( 1- p₂)/n₂

                        = √0.34(1-0.34) / 200 + 0.52(1-0.52)/ 300

                        = √0.001122 + 0.000832

                        = 0.044

\(p_{w}\) = (68 + 156 )/ (200 + 300)

   = 0.448

\(q_{w} = 1- p_{w}\)

    = 1 - 0.448

    = 0.552

null hypothesis p₁ - p₂ = 0

z = ( 0.52 - 0.34 ) - 0/ √(0.448)(0.552)( 1/200 + 1/300)

  = 4

Tabular value for confidence interval 95% = 1.96

4 > 1.96

We reject the null hypothesis.

Therefore, the difference of proportion of central valley residents and the bay area residents rejection of null hypothesis as per given 95% confidence interval.

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However, assuming there is a statement that involves the variable x, it would perform some operation or assign a value to x based on the specific syntax of the statement.

Without the statement provided, it is impossible to give a specific answer. Assuming the variable x has been the initialized to an integer value (e.g., x = 3), the following statement will perform an operation or action using the value of x. This could include mathematical operations, comparisons, or use within a loop or conditional statement. Without knowing the specific statement, I cannot provide a more detailed explanation of its function.

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The interest rate for the savings account is 5% after 4 years, $20,000 deposited in a savings account with simple interest earned $800 in interest.

We can use the formula for simple interest to solve the problem:

Simple interest = (Principal * Rate * Time) / 100

where Principal is the initial amount deposited, Rate is the interest rate, and Time is the time period for which the interest is calculated.

We know that the Principal is $20,000 and the time period is 4 years. We are also given that the interest earned is $800. So we can plug in these values and solve for the interest rate:

$800 = (20,000 * Rate * 4) / 100

Multiplying both sides by 100 and dividing by 20,000 * 4, we get:

Rate = $800 / (20,000 * 4 / 100) = 0.05 or 5%

Therefore, the interest rate for the savings account is 5%.

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The relation ⊂ (subset) can be considered as a binary relation between sets, and it is a partial order on the power set P(S) of an arbitrary nonempty set S. However, it is not a total order.

A partial order is a binary relation that satisfies three properties: reflexivity, antisymmetry, and transitivity. Let's analyze whether ⊂ satisfies these properties for the power set P(S).

Reflexivity: For any set A, A is a subset of itself (A⊂A) holds true. Therefore, ⊂ is reflexive.

Antisymmetry: If A⊂B and B⊂A, then A and B must be equal sets. In other words, if two sets are subsets of each other, they must be the same set. This property is satisfied, and ⊂ is antisymmetric.

Transitivity: If A⊂B and B⊂C, then A⊂C. If one set is a subset of another set, and the other set is a subset of a third set, then the first set is also a subset of the third set. This property is satisfied, and ⊂ is transitive.

Therefore, ⊂ satisfies the properties of reflexivity, antisymmetry, and transitivity, making it a partial order on P(S).However, ⊂ is not a total order because it does not satisfy the total ordering property. In a total order, for any two distinct elements, one must be greater than or equal to the other. In the case of ⊂, there are sets A and B that are not subsets of each other (neither A⊂B nor B⊂A). Therefore, it is not a total order.

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Answer:

Yes, Since pH = 0.8 > pS = 0.64

So, on average, more Happy Airlines flights were on time than Speedy Airlines Flights

Step-by-step explanation:

Since for Speedy Airlines, 64 out of a hundred were on time, the proportion is,

\(pS = 64/100 = 16/25=0.64\\pS=0.64\)

And for Happy Airlines, 80 out of 100 were on time, so,

\(pH = 80/100=4/5\\pH=0.8\)

since pH is greater than pS, so we conclude that there is evidence of a difference in the on-time rate for the two airlines

That is, Happy Airlines flights were on time 80% of the time and Speedy Airlines flights were on time 64% of the time

A linear relation is a relationship between two variables that when the corresponding pair of values of the variables are plotted, a straight line is obtained

The equation for the relationship between hours Gwen worked and number of tickets is t = 15·h

The reason the above equation is correct is as follows:

The given parameters are;

The table of values;

Hours(h): 1, 2, 3, 4

Tickets (t): 15, 30, 45, 60

Required: To write an equation that gives the relation between the number of hours Gwen worked and the number of tickets sold

Solution:

From the given table, we have;

The common difference between successive h-values is 1

The common difference between successive t-values is 30 - 15 = 45 - 30 = 60 - 45 = 15 = Constant

Given that the common difference of the h, and t-values are constant, the relationship is a linear relationship of the form, t = m·h + c

Where;

m = The rate of change of t with h, as follows;

m = (30 - 15)/(2 - 1) = 15

∴ t - 15 = 15 × (h - 1)

t - 15 = 15·h - 15

t = 15·h - 15 + 15 = 15·h

t = 15·h

The equation for the relation between the number of hours Gwen worked and the number of tickets she sold is t = 15·h

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Answer: See explanation

Step-by-step explanation:

Let the price per pound of coffee be c

Let the price ce per pound of butter be b.

We can form an equation based on the information given and this will be:

2c + b = 11.25 ....... i

3c + 2b = 18.50 ....... ii

From equation i, b = 11.25 - 2c ..... iii

Put the value of b into equation ii.

3c + 2b = 18.50

3c + 2(11.25 - 2c) = 18.50

3c + 22.50 - 4c = 18.50

-c = 18.50 - 22.50

c = 4.00

A pound of coffee cost $4.00

Since b = 11.25 - 2c .

b = 11.25 - 2(4.00)

b = 11.25 - 8.00

b = 3.25

A pound of butter costs $3.25

The missing angle of the right triangle ABC has a measure of 30°. (Correct answer: A)

Triangles are geometrical figures formed by three sides and whose sum of internal angles equals 180°. There are two kind of triangles existing in this question: (i) Right triangles, (ii) Isosceles triangles.

Right triangles are triangles which one of its angles equals 90° and isosceles triangles are triangles which two of its sides have equal measures.

According to the statement, we know that triangle BQR is an isosceles triangle, whereas triangles ABC, ANB and NBC are right triangles. Based on the figure attached below, we have the following system of linear equations based on right triangles ABC and NBC:

2 · x + 90 + θ = 180   (1)

(90 - x) + 90 + θ = 180   (2)

By equalizing (1) and (2) we solve the system for x:

2 · x = 90 - x

3 · x = 90

x = 30

And by (1) we solve the system for θ:

θ = 180 - 2 · x - 90

θ = 30

The missing angle of the right triangle ABC has a measure of 30°. (Correct answer: A) \(\blacksquare\)

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Answer:

108,96,84,72,60

25,50,100,200,400,800

Answer:

A

Step-by-step explanation:

Seems like a reasonable answer choice

506.433 minutes elapse before the minute hand next points in the same direction as the hour hand.

Conversion of hours to minute:

As we all know, an hour is made up of sixty minutes, therefore

1 hour=60minutes

Thus, all you need to do to convert time from hours to minutes is to multiply the time in hours by 60 to get the time in minutes.

If you want to convert minute to hours divide the given time in minutes by 60.

The hands line up 11 times every 12 hours, or roughly every 1:05.5 hours; the precise number is 1:05.4545 repeating.

The repetition time is 8:43.6363. When expressed in seconds, the result is 8:43:38.1818 repeating, or 8:43:38 and 2/11.

This is 261 and \(\frac{9}{11}\) degrees, or 261.818 repeated.

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Answer:

\(\textsf{C.} \quad C = \$10 + \$5h\)

Step-by-step explanation:

Given information:

Given variables:

The Park admission fee of $10 is independent of the fee charged per hour per sport.  Therefore, it is represented by a constant in the equation.

The fee per hour of sledding is dependent on the number of hours spent.  Therefore, it is represented by the cost of the specific sport multiplied by the given variable for time (h).

Therefore the equation that represents the cost of sledding per hour is:

C = $10 + $5h

\(\huge \boxed{\sf C}\)

Each hour costs 5 dollars for sledding and an extra fee of 10 dollars.

\(\sf C = 5h + 10\)

An equation contains variables and integers.

C and h are variables which means the value changes.

5 and 10 are integers.

Answer:

1. m = 0

2. is the image

Answer: 473

Step-by-step explanation: 946 Divided by 2

Congruent triangles are two or more triangles with the same length of sides and measure of internal angles. Thus the required proof is as shown below:

From the given diagram, it can be observed that:

AB = AC (similar property of two lines)

AC = AE (similar property of two lines)

Also,

m<A is a common angle to ΔABC and ΔADE

So that it can be concluded that;

ΔABC ≅ ΔADE (Side-Angle-Side property)

Thus since ΔABC ≅ ΔADE are congruent, then;

BC = DE (corresponding sides of congruent triangles)

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See below for the proof that sides BC and DE are congruent

The given parameters are:

AC = AE

AB = AD

∠BAD = ∠EAC

By the definition of congruence, side lengths marked with I are congruent and side lengths marked with II are congruent

From the attached figure, we have the following marks:

In triangle ABC,

AB = I and AC = II

In triangle ADE,

AD = I and AE = II

This means that two corresponding sides of ABC and ADE are congruent.

Since both triangles have a congruent angle, then the last corresponding sides are also congruent

i.e. BC = DE

Hence, sides BC and DE are congruent

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Answer : 0.10712

Step-by-step explanation: Please give brainliest it helps alot

Answer:

the b-value is the growth or decay factor.

Step-by-step explanation:

Only the corner cubes have 3 faces, and a cube has 8 corners. So there are 8 cubes that have 3 blue faces.

16 cubes have 2 blue faces. These cubes are the ones in between the corners of a side.

The 4 center cubes have only one side painted. Since there are 6 sides, and each side has 4 center cubes, 6 x 4 = 24. So there are 24 cubes with 1 blue face.

There are exactly 8 cubes on the inside of the larger cube. So, 8 cubes have not been painted at all.

I hope this helps!

Answer:

15.9 dollars

Step-by-step explanation:

you have to multiply 3.75 by 4.25

Answer:

15.94

Step-by-step explanation:

Given a non-empty, finite set U and a power set P(U) consisting of all subsets of U. Let A, B P(U) and A B if and only if A ∩ B = ∅. We have to justify if ~ is an equivalence relation or not. Let's prove that ~ is an equivalence relation over P(U).

Reflexive: For A P(U), A A = ∅. Thus, A ~ A, which implies that ~ is reflexive. Symmetric: Let A, B P(U) be such that A B. Since A B, A ∩ B = ∅. Hence, B ∩ A = ∅ (set intersection is symmetric).

This implies that B A. Thus, ~ is symmetric.

Transitive: Let A, B, C P(U) be such that A B, and B C.

Then, A ∩ B = ∅ and B ∩ C = ∅. To prove transitivity, we need to show that A C, that is, A ∩ C = ∅.

To prove this, we will use contradiction. Suppose A ∩ C ≠ ∅. Then, there exists an element x A ∩ C. Since x A, x B (by A B) and since x C, x B (by B C).

Hence, x B, which contradicts A ∩ B = ∅ and B ∩ C = ∅. Therefore, A ∩ C = ∅.

Thus, ~ is transitive. So, ~ is an equivalence relation on P(U). Therefore, the given relation is an equivalence relation on P(U).

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Answer:

-49.

Step-by-step explanation:

Convert to vertex form:

f(x) = -7x^2 - 14x - 56

     = -7(x^2 + 2x + 8)

     = -7 [(x + 1)^2 - 1 + 8)

      = 7(x + 1)^2  - 49

- so the maximum value is -49.

Answer:

\(\large\boxed{\textsf{A: The circumference is the measurement around the circle.}}\)

Step-by-step explanation:

\(\textsf{We are asked what's true about the Circumference.}\)

\(\large\underline{\textsf{What is the Circumference?}}\)

\(\textsf{The Circumference is the sum of all the arcs of a circle.}\)

\(\textsf{Arcs are the curved edges of a circle that make up the \underline{Perimeter}.}\)

\(\textsf{Because the Circumference makes up all of the Arcs in a circle, which is the perimeter;}\)

\(\textsf{Option A is the most reasonable choice, as the circumference is the perimeter of}\)

\(\textsf{a circle.}\)

Answer:

9 dollars

Step-by-step explanation:

24-6

18

18/2

9 is the answer.

Mark me brainliest please

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Answer:

I believe the answer is 128 degrees.

Step-by-step explanation:

x is congruent to 128 because they are vertical angles.

The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

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