Isaiah was given a gift card for a coffee shop. Each morning, Isaiah uses the card to buy one cup of coffee. The original amount of money on the gift card was $10 and each cup of coffee costs $2. Write an equation for A,A, in terms of x,x, representing the amount money remaining on the card after buying xx cups of coffee.

If the mean weight of 4 backfield members on the football team is 211lb and the mean weight of the 7 other players is 203lb, the mean weight of the 11-person team is 206lb.

The mean refers to the average of the data value.

The mean can be computed as the quotient of the total value divided by the number of items in the data set.

The mean weight of 4 backfield members on the football team = 211lb

The total weight of the 4 backfield members = 844lb (211 x 4)

mean weight of the 7 other players on the football team = 203lb

The total weight of the 7 other players = 1,421lb (203 x 7)

The total weight of the 11 football team members = 2,265lb (844 + 1,421)

The average or mean weight of the 11 members = 205.9lb (2,265 ÷ 11)

= 206lb

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Answer:

Step-by-step explanation:

20

The basketball court measures 25 metres in width and 30 metres in length.

(Width = 25 m)

30-meter length

A grid can also be used to arrange the shape as well as count the squares: The rectangle measures 15 square feet. Example: Size is 15 m2 assuming each square has a one-meter side length (15 square meters)

The basketball court's length is 5 metres longer than its width, as stated. Assume the width is x metres wide. It follows that the length would be (x+5) metres.

A fixed area of 750 square metres is available on the rectangular court. What is known that Area of rectangle = Length x Width.

When the values of length and width are substituted, we obtain:

750 = (x+5) x (x)

750 = x² + 5x

x² + 5x - 750 = 0

x² + 5x - 750 = 0

Part B:

We have the equation:

x² + 5x - 750 = 0

Using the quadratic formula or factoring, we can answer this quadratic problem. Factoring allows us to write:

x² + 5x - 750 = 0

(x + 30)(x - 25) = 0

The basketball court measures 25 metres in width and 30 metres in length.

(Width = 25 m)

30-meter length

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Answer:

3*2

Step-by-step explanation:

Answer:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Step-by-step explanation:

Factors are numbers multiplied together to make the final product.

1*72=72

2*36=72

3*24=72

4*18=72

6*12=72

8*9=72

Answer:

The factors of 72:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and of course 72

Step-by-step explanation:

Factors are what the number can be divided by equally or what those numbers can be multiplied by to get 72.

Please let me know if this helps!

The required equation of the line with gradient 2 and passing through point ( 1,4 ) is equal to y = 2x + 2.

Standard equation of the line with slope 'm' and passes through point      ( x₁ , y₁ ) is :

( y - y₁ ) / ( x - x₁ ) = m

The line passes through the point ( x₁ , y₁ ) =  ( 1, 4 ).

Gradient means slope 'm' of the line is equal to 2

Substitute the value in the standard form we get,

( y - y₁ ) / ( x - x₁ ) = m

⇒( y - 4) / ( x - 1 ) = 2

⇒ y - 4 = 2 ( x - 1 )

⇒ y - 4 = 2x - 2

⇒ y = 2x -2 + 4

⇒ y = 2x + 2

Therefore, the equation of the line passing through the given point and with gradient 2 is equal to y = 2x + 2.

The above question is incomplete , the complete question is:

Work out the equation of the line which has a gradient of 2 and passes through the point (1, 4).

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Answer:

-7

Step-by-step explanation:

-9+(-2)

-9+2=

-7

The quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

To solve the quadratic equation 2a^2 = -6 + 8a, we need to rearrange it into standard quadratic form, which is ax^2 + bx + c = 0, where a, b, and c are coefficients.

Step 1: Move all the terms to one side of the equation to set it equal to zero:

2a^2 - 8a + 6 = 0

Step 2: The equation is now in standard quadratic form, so we can apply the quadratic formula to find the solutions for 'a':

a = (-b ± √(b^2 - 4ac))/(2a)

Comparing with our equation, we have:

a = (-(-8) ± √((-8)^2 - 4(2)(6)))/(2(2))

Simplifying further:

a = (8 ± √(64 - 48))/(4)

a = (8 ± √16)/(4)

a = (8 ± 4)/(4)

Now, we can calculate the two possible solutions:

a1 = (8 + 4)/(4) = 12/4 = 3

a2 = (8 - 4)/(4) = 4/4 = 1

Therefore, the quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

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The second-period budget constraint is given as c/(1 + r) = a + w(2) - b, Where, c is the consumption at time 2, w(2) is the wage rate at time 2 and b is the borrowing at time 1.

The given function is,  

u(c) = ln (c) (natural logarithm). As given in the question, the budget constraint at time 1 is described by  

c + a/(1 + r) = w(1) + a, Where c is the consumption at time 1, a is the assets at time 0, r is the interest rate and w(1) is the wage rate at time 1.

Therefore, by rearranging the equation for consumption at time 1 we get,

c = w(1) + a/(1 + r) - a ...(1)

Now, the individual utility function is u(c) = ln (c)

Hence,

u(c) = ln (w(1) + a/(1 + r) - a) ...(2)

Further, the second-period budget constraint is given as,

c/(1 + r) = a + w(2) - b, Where, c is the consumption at time 2, w(2) is the wage rate at time 2 and b is the borrowing at time 1. Rearranging the above equation for consumption at time 2, we get,

c = (a + w(2) - b)*(1 + r) ...(3)

Again, the utility function is u(c) = ln (c)

Thus, we get,

u(c) = ln (a + w(2) - b)*(1 + r) ...(4)

In the given question relates to consumer behavior and the utility functions and budget constraints that are defined for an individual consumer. The equations for consumption at time 1 and time 2 are obtained by using the budget constraints and rearranging the equations. The utility functions at times 1 and 2 are obtained by substituting the values of c in the utility function.

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Answer: The one on the left.

Step-by-step explanation:

There is no file, but the panda on the left is bigger.

Answer:

x + y = 12

40 x + 120 y = 640

Step-by-step explanation:

Answer:

the awnser is -3

Step-by-step explanation:

Answer:

The answer looks correct.

Step-by-step explanation:

All the other option doesn't match the above question's statement.

The last answer is the correct (in my opinion)

Answer:

Absolutely Correct

Step-by-step explanation:

Based on the definition of midpoint;

It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.

meaning the distance from the midpoint to one end is the same as the distance to the other end

The coordinates of the vertex C​' will be (-5, -4). And the graph is given below.

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The reflection does not change the shape and size of the geometry. But flipped the image.

The vertices of ΔABC are A(−5,4)​, B(−2,3)​, and C(−3,2). If ΔABC is reflected across the line y = −1 to produce the image Δ​A'B'C'.

Then the coordinate of the triangle Δ​A'B'C' will be given as,

(x', y') = (x, -y - 2)

A' = (-5, -4 - 2) = (-5, -6)

B' = (-2, -3 - 2) = (-5, -5)

C' = (-3, -2 - 2) = (-5, -4)

The coordinates of the vertex C​' will be (-5, -4). And the graph is given below.

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Answer:

Step-by-step explanation:

This statement is false , To determine the statement that is true based on the given data in the two-way table, let's examine the probabilities mentioned in each statement:

a. P(farm B|without seaweed) ≠ P(without seaweed)

  This statement implies that the probability of a cow being from farm B given that it does not have seaweed in its feed is not equal to the probability of a cow not having seaweed in its feed. To check this, we calculate:

  P(farm B|without seaweed) = Number of cows from farm B without seaweed / Total number of cows without seaweed

  = 40 / 76 ≈ 0.5263

  P(without seaweed) = Total number of cows without seaweed / Total number of cows

  = 76 / 200 = 0.38

  Since 0.5263 ≠ 0.38, this statement is true.

b. P(with seaweed|farm B) = P(with seaweed)

  This statement suggests that the probability of a cow having seaweed in its feed given that it is from farm B is equal to the probability of a cow having seaweed in its feed. To check this, we calculate:

  P(with seaweed|farm B) = Number of cows from farm B with seaweed / Total number of cows from farm B

  = 74 / 114 ≈ 0.6491

  P(with seaweed) = Total number of cows with seaweed / Total number of cows

  = 124 / 200 = 0.62

  Since 0.6491 ≈ 0.62, this statement is false.

c. P(farm A|with seaweed) ≠ P(farm A)

  This statement implies that the probability of a cow being from farm A given that it has seaweed in its feed is not equal to the probability of a cow being from farm A. To check this, we calculate:

  P(farm A|with seaweed) = Number of cows from farm A with seaweed / Total number of cows with seaweed

  = 50 / 124 ≈ 0.4032

  P(farm A) = Total number of cows from farm A / Total number of cows

  = 86 / 200 = 0.43

  Since 0.4032 ≠ 0.43, this statement is true.

d. P(without seaweed|farm B) = P(farm B)

  This statement suggests that the probability of a cow not having seaweed in its feed given that it is from farm B is equal to the probability of a cow being from farm B. To check this, we calculate:

  P(without seaweed|farm B) = Number of cows from farm B without seaweed / Total number of cows from farm B

  = 40 / 114 ≈ 0.3509

  P(farm B) = Total number of cows from farm B / Total number of cows

  = 114 / 200 = 0.57

  Since 0.3509 ≠ 0.57, this statement is false.

Based on the calculations, the true statement is:

c. A cow being from farm A and having seaweed in its feed are dependent because P(farm A|with seaweed) ≠ P(farm A).

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In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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The codewords of C are {[0 0 0 0 0], [1 0 1 1 0], [0 1 1 0 1], [1 1 0 1 1]}.

The given parity check matrix H has 3 rows and 5 columns, which implies that code C has length n = 5 and dimension k = n - rank(H). To find k, we need to row-reduce H and count the number of linearly independent rows:

[1 1 1 0 0]

[1 0 0 1 0]

[0 1 0 0 1]

R2 = R2 - R1:  [1 1 1 0 0]

               [0 -1 -1 1 0]

               [0 1 0 0 1]

R3 = R3 + R2:  [1 1 1 0 0]

               [0 -1 -1 1 0]

               [0 0 -1 1 1]

R2 = -R2:      [1 1 1 0 0]

               [0 1 1 -1 0]

               [0 0 -1 1 1]

R1 = R1 - R2:  [1 0 0 1 0]

               [0 1 1 -1 0]

               [0 0 -1 1 1]

R3 = -R3:      [1 0 0 1 0]

               [0 1 1 -1 0]

               [0 0 1 -1 -1]

The row-reduced form of H has 3 linearly independent rows, so k = n - rank(H) = 5 - 3 = 2.

To find the generator matrix G, we can use the method of systematic encoding. We first construct a matrix A consisting of k linearly independent columns of the identity matrix of size k:

[1 0]

[0 1]

Next, we compute the matrix B as the row-reduced form of the transpose of H:

[1 0 1]

[0 1 1]

We can then form the generator matrix G as:

[ A | B^T ] = [1 0 | 1 0 1]

             [0 1 | 0 1 1]

Therefore, the generator matrix of C is:

[1 0 1 1 0]

[0 1 1 0 1]

To list the codewords of C, we can use the generator matrix to encode all possible combinations of the message bits. Since k = 2, there are 2^2 = 4 possible message vectors:

[0 0]

[0 1]

[1 0]

[1 1]

Encoding each message vector with the generator matrix G, we obtain the corresponding codewords:

[0 0 0 0 0]

[1 0 1 1 0]

[0 1 1 0 1]

[1 1 0 1 1]

Therefore, the codewords of C are {[0 0 0 0 0], [1 0 1 1 0], [0 1 1 0 1], [1 1 0 1 1]}.

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Answer:

20%

Step-by-step explanation:

All angles of a triangle add up to 180 degrees.

A right triangle has one right angle, which means an angle is 90 degrees.

If another is 70 degrees then we already know two of them. Add them up to get 160 degrees. Then subtract that from 180 degrees to get 20 degrees. Hope it helps!

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Hey there!

1/2 lwh = v

lwh = 2v

h = 2v/lw

Formula:

H = 2v / l w

H = 2(266.5ft³)/lw

H = 533/lw

Other length are Missing like length and width

Incomplete question

Answer:

The answer is 8.2, I took the test.

Answer:

-4 and +4

Step-by-step explanation:

Answer:50 %

Step-by-step explanation:

Given

There are 4 girls and 6 boys in a club

Probability of choosing 1 girl and 2 boys is

\(=\dfrac{\text{No of ways of choosing 1 girl and 2 boys }}{\text{No of ways of choosing 3 member out of 10 member}}\)

No of ways of choosing 1 girl and 2 boys\(=^4C_1\times ^6C_2\)

\(P=\dfrac{^4C_1\times ^6C_2}{^{10}C_3}\)

\(P=\dfrac{4\times 15}{10\times 3\times 4}\)

\(P=\dfrac{15}{30}=\frac{1}{2}\)

i.e. \(50\%\)

The probability that one girl and two boys will be chosen from the Spanish club is 50%.

Probability is used to determine the odds that an event would happen. If the event would happen with certainty, it would have a value of 1. If it is certain the event would not happen, it would have a value of 0.

The probability = number of ways of choosing 1 girl and two boys / number of ways of choosing 3 people

(4x15) / (10 x 3 x 4) = 15/30 = 1/2 = 50%

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We need to spin the spinner 150 times, to expect a multiple of 4 to be spun 30 times.

In the question, we are given that a spinner is divided into 15 identical sectors and labeled 1 through 15.

We are asked the number of times the spinner must be spun to expect a multiple of 4 30 times.

The possible outcomes of a multiple of 4 are 4, 8, and 12.

Thus, the number of possible outcomes are 3.

The total number of outcomes are 15.

Thus, the probability of getting a multiple of 4 in one spin = 3/15 = 1/5.

Thus, to expect a multiple of 4 once, we need to spin the spinner 5 times.

Thus, to expect a multiple of 4 30 times, we need to spin the spinner 5 * 30 = 150 times.

Thus, we need to spin the spinner 150 times, to expect a multiple of 4 to be spun 30 times.

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Answer:

The spinner is expected to spin 150 times for a multiple of 4 to be spun 30 times.

from the question, given that a spinner is divided into 15 identical sectors and labeled 1 through 15.

now, find the how many spins are expected for a multiple of 4 to be spun 30 times.

The multiple of 4 are 8, 12 and 15.

so the number of favourable outcomes be 3.

the total number of outcomes is 15.

Now the

\(probability = 3 \div 5 = 1 \div 5\)

so for 30 times of multiple of 4, we need to the spinner \(5 \times 30 = 150 \: times\)

Therefore,The spinner is expected to spin 150 times for a multiple of 4 to be spun 30 times.

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Therefore, the area of the trapezoid is 6 square inches.

Area is a measure of the size of a two-dimensional surface or shape, such as a square, rectangle, circle, triangle, or any other polygon. It is usually measured in square units, such as square inches, square feet, square meters, or square centimeters. The area of a shape is calculated by multiplying the length of one side of the shape by the length of an adjacent side.

Here,

The formula for the area of a trapezoid is:

Area = (1/2) x (sum of parallel sides) x height

In this case, the parallel sides are 1.1 inches and 2.9 inches, and the height is 3 inches. So we can substitute these values into the formula and calculate the area:

Area = (1/2) x (1.1 + 2.9) x 3

Area = (1/2) x 4 x 3

Area = 6 square inches

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Here is the set up:

A = area of rectangular garden = 6/7.

Let l = length = 3/5.

Let w = width

A = lw

6/7 = (3/5)w

Solve for w.

Answer:

Look the pic

Step-by-step explanation:

All wreaten in pic

Answer:

Step-by-step explanation:

2. You can use the commutative property to write an equivalent expression : 1/2 + y

3. z cubed and 3z isn't equivalent expressions, because 3z is 3 times z, and z cubed is z times itself, 3 times.

4 and 5. The expressions 3(y+1) and 3y + 3 are equivalent for any values as they are the exact same expression.

(Break the bracket of 3(y+1), we get : 3(y+1) = 3.y + 3.1 = 3y +3)

6. 2(r+3) = 2.r + 2.3 = 2r + 6

7. 6(4s-1) = 6.4s - 6.1 = 24s - 6

8. 8t + 2 = 2(4t + 1)

Answer:

B. -2

y-9=-2(x-8)

y-9=-2x+16

y=-2x+25

The slope is -2

Hope this helps!

Answer:

Option B

Step-by-step explanation:

The equation is in point slope form. \(y-y_1=m(x-x_1)\)

'm' - Slope

(x1,y1) - Coordinate

'-2' is in the place of 'm'. This means that '-2' is the slope of the line.

Option B should be the correct answer.

Answer:

b is your answer hope it helps

Step-by-step explanation:

The finished quilt has dimensions of 7 feet by 27 feet and an area of 36 square feet.

To solve for the dimensions of the border, we can use a trial-and-error method or use a factorization method to find two numbers that multiply to 11. For example, we can use 1 foot and 11 feet as the length and width, respectively, which gives us:

Area of border = Length x Width

11 square feet = 1 foot x 11 feet

Therefore, the border is 1 foot wide on one side and 11 feet long on the other side.

Since the main design is a square with each side measuring 5 feet and the border is 1 foot wide on one side and 11 feet long on the other side, the total dimensions of the quilt are:

Length = Length of main design + 2 x Width of border

Length = 5 feet + 2 x 1 foot

Length = 7 feet

Width = Width of main design + 2 x Length of border

Width = 5 feet + 2 x 11 feet

Width = 27 feet

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Complete Question:

Maria makes a quilt. The main design is 5 feet long on each side. Then she adds a

border around the main design. The finished quilt has an area of 36 square feet.

What is the dimension of one side of the finished quilt?