A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.

A table showing Discount Cards Fundraiser with two columns and six rows. The first column, Cards Sold, has the entries, 10, 20, 30, 40, 50. The second column, Remainder of Goal, has the entries, $875, $795, $715, $635, $555.

Which word describes the slope of the line representing the data in the table?

Answer:

(1,4.5)

(\(\frac{5+(-3)}{2} ,\frac{3+6}{2}\))

Answer:

sum=3.2559347

Step-by-step explanation:

product= 2x6x2 798.364

did it on edginuty and got it right

Answer:

£ 4.20

Step-by-step explanation:

1 kg= £1.20

3.5 kg = £1.20*3.5

=£ 4.20

The cost of the apples being weighed on the scales would be £ 4.20

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

We are given that Apples are sold in a supermarket at £1.20 per gram.

Therefore, we know that

1 kg= £1.20

For 3.5 kg

= £1.20 x 3.5

=£ 4.20

The cost of the apples is £ 4.20

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In simple linear regression, the predictor variable is the independent variable, which is used to predict the value of the dependent variable. It is also referred to as the explanatory variable, as it is used to explain the variability in the response variable.

For example, in a study that examines the relationship between the hours studied and exam scores, the predictor variable is the number of hours studied, and the dependent variable is the exam score.

The predictor variable is plotted on the x-axis, while the dependent variable is plotted on the y-axis in a scatter plot. The relationship between the predictor and the dependent variable is represented by a straight line, which is determined by the regression equation.

The slope of the line represents the change in the dependent variable for each unit change in the predictor variable.

In summary, the predictor variable is the variable that is used to predict or explain the changes in the dependent variable in simple linear regression.

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Answer:

i hope youll be success in your lifee soon

Answer: 0.90b + 2m ≤ 25

Step-by-step explanation: 0.90 = bananas + 2 = mangoes is less than or equal to 25

Answer:

\(8v^{3} +27=(2v)^{3} +3^{3}=(2v+3)(4v^{2} -6v+9)\\\)

Step-by-step explanation:

from  formula a³ – b³ = (a – b) (a² + ab + b² )

Answer:

a. 10√2

Step-by-step explanation:

hey, just use Pythagoras theorem

h²=p²+b²=10²+10²=100+100=200

h²=200, h= √200 =√(100×2)=√100×√2=10√2

Answer:

Another number is 28

Step-by-step explanation:

Given:

Number = 12

Another number = x

The tripled product = 120

Find:

Number

Computation:

3(x + 12) = 120

x + 12 = 40

x = 40 - 12

x = 28

Another number is 28

The largest number of matches she could have won before are 164 matches.

A ratio shows the relation between two amounts. For example, the ratio of apples to pears in a basket or the ratio of women to men in a town.

First represent the matches she had won, using n as a reference. This means:

\(\frac{n}{2n} = \frac{1}{2}\)

Then, based on this let's add the current ratio:

\(\frac{n+3}{2n+4} = \frac{503}{1000}\)

Based on this, let's solve this inequality to find out the number of matches the player won before. Follow these steps:

Based on the previous process, the number of matches the player could have won before the weekend began was 164 matches.

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Answer:

38 cm²

Step-by-step explanation:

Given that,

→ Length (l) = 4 cm

→ Breadth (b) = 3 cm

→ Height (h) = 1 cm

Formula we use,

→ 2(lb + bh + lh)

The surface area of cuboid will be,

→ 2(lb + bh + lh)

→ 2{(4 × 3) + (3 × 1) + (4 × 1)}

→ 2(12 + 3 + 4)

→ 2 × 19

→ [ 38 cm² ]

Hence, the surface area is 38 cm².

Answer:

17\(\frac{1}{3}\)miles

40miles

Step-by-step explanation:

Given parameters;

Distance traveled by  the car = 1\(\frac{1}{2}\)miles  = \(\frac{3}{2}\)miles

Time taken = 2\(\frac{1}{4}\)minutes  = \(\frac{9}{4}\)minutes

Unknown:

Distance covered in 26minutes and in 1hr = ?

Solution:

Speed is the rate of change of distance with time.

   Speed  = \(\frac{distance}{time taken}\)

A. Insert the parameters and find the speed;

   Speed  = \(\frac{\frac{3}{2} }{\frac{9}{4} }\) = \(\frac{3}{2}\) x \(\frac{4}{9}\) = \(\frac{2}{3}\)miles/minutes

Distance covered in 26minutes;

   Distance  = speed x time

   Distance  = \(\frac{2}{3}\) x 26  = \(\frac{52}{3}\) miles  = 17\(\frac{1}{3}\)miles

B. Distance covered in 1hr or 60minutes;

  Distance = \(\frac{2}{3}\) x 60 = 40miles

The main difference is interest charged for a payday loan is typically over a short period, whereas  credit card represents the annualized interest rate over a year.

The payday loan interest is a one-time charge, while the credit card APR accumulates over time if the balance is not paid in full.

For a payday loan, the 30% interest is typically charged over a short period, often within a few weeks.

This means that if you borrow $100, you would need to repay $130, including the $30 interest, within that short timeframe.

On the other hand, a 30% APR on a credit card represents the annualized interest rate charged on the outstanding balance. This interest is spread out over a year.

If you have an outstanding balance of $100 on a credit card with a 30% APR, the interest charged over a year would be $30.

In summary, the main difference is that the 30% interest charged for a payday loan is typically applied over a short period, whereas the 30% APR on a credit card represents the annualized interest rate over a year.

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Answer:

1 13/50

Step-by-step explanation:

4 1/5 * 3/10

Change the mixed number to an improper fraction

4 1/5 = (5*4+1)/5 = 21/5

21/5 *3/10

63/50

Changing back to a mixed number

1 13/50

Answer:

1 13/50

Step-by-step explanation:

4⅕ × 3/10

21/5 × 3/10

63/50

1 13/50

Answer:

True ☑

Step-by-step explanation:

\( - 3 \times - 7 \\ = {}^{ + } 21\)

It is true that the slope of the horizontal tangent line to the parametric curve at a point (x(t), y(t)) is given by dy/dx = (dy/dt)/(dx/dt).

The statement is saying that if f(g(t)) has a horizontal tangent at t = 1, then the curve has a well-defined tangent line at that point, which is also a horizontal tangent. Let's break this down step by step:

f(g'(1)) = 0: This means that the derivative of f with respect to its input g(t) is equal to zero at t = 1. In other words, the slope of the tangent line of f(g(t)) at t = 1 is zero.

dx/dt is not zero at t = 1: This means that the curve g(t) has a well-defined tangent line at t = 1, because the slope of the tangent line of g(t) is not infinite (i.e., the derivative dx/dt is defined and finite).

Setting dy/dx = 0 gives dy/dt / dx/dt = 0: This is using the chain rule of differentiation to relate the derivative of f with respect to t (i.e., dy/dt) to the derivative of f with respect to x (i.e., dy/dx) and the derivative of g with respect to t (i.e., dx/dt).

dy/dt = 0 when dx/dt is not zero: Since dy/dx = 0 and dx/dt is not zero, we can conclude that dy/dt must also be zero at t = 1. This means that the slope of the tangent line of f(g(t)) is also zero at t = 1.

Therefore, the curve has a horizontal tangent at t = 1: Since both g(t) and f(g(t)) have horizontal tangents at t = 1, we can conclude that the curve f(x) also has a horizontal tangent at x = g(1). This means that the tangent line to the curve at that point is horizontal.

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The sample mean of the observations is 19.25 and the standard deviation is 2.15

Sample mean is found by adding up all the individual values of the sample, then dividing by the total number of values in the sample.  

Sample standard deviation is the square root of the variance

mean = (23 + 25 + 16 + 20 + 13 + 10 + 28 + 19)/8

mean = 19.25

variance = (x₁ - mean)²/n(n-1)

variance = ((23 - 19.25)² + (25 - 19.25)² + (16 - 19.25)² + (20 - 19.25)² + (13 - 19.25)² + (10 - 19.25)² + (28 - 19.25)² + (19 - 19.25)²)/(8(7))

variance = 259.5/56

variance = 4.63

Standard deviation = √variance = √4.63 = 2.15

Therefore, the sample mean of the observations is 19.25 and the standard deviation is 2.15

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Answer: -24

Step-by-step explanation:

See attached image.

Answer:

71.4

Step-by-step explanation:

you wiil plus it by 30.4+27+14 that is how i got71.4

Answer:

4 ft = width of walkway

Step-by-step explanation:

It helps if you can draw a figure.

Let x = width of walkway

Length of pool + walkway = (2x + 15)

Width of pool + walkway = (2x + 15)

area of pool and walkway together = (2x + 15)(2x + 15) = \(4x^{2} = 60x + 225\)

Area of the pool = 15(15) = 225

Now,

The area of the walkway = area of pool and walkway together - area of pool

304 = 4\(x^{2}\) + 60x + 225 - 225

304 = \(4x^{2}\) + 60x

4\(x^{2}\) + 60x - 304 = 0

4(\(x^{2}\) +15x - 76) = 0

4(x - 4)(x + 19) = 0

x = 4    x = -19

-19 must be discarded because a length cannot be negative

Therefore x = 4 ft = width of walkway

The answer is that we cannot verify the similarity of triangles △PQR and △STU based on the given information. The missing ratios QR/TU and PR/SU cannot be determined without additional data or measurements. Only the ratio PQ/ST can be determined, which is equal to 4. Therefore, we do not have enough information to conclude that △PQR and △STU are similar triangles.

To verify that the triangles △PQR and △STU are similar, we can compare the ratios of their corresponding sides.

We have:

QR/TU = ?

PR/SU = ?

PQ/ST = 52/13 = ?

To find the missing values, we can use the property of similar triangles that states the corresponding sides of similar triangles are proportional.

Let's find the missing values one by one:

1. QR/TU:

We don't have enough information to determine the value of QR/TU. It is not possible to establish a ratio without additional data or measurements.

2. PR/SU:

Similarly, we cannot determine the value of PR/SU without more information or measurements.

3. PQ/ST:

Given PQ/ST = 52/13, we can simplify the ratio:

PQ/ST = (4*13)/(1*13) = 4/1 = 4.

Therefore, PQ/ST = 4.

Since we were unable to determine the values of QR/TU and PR/SU, we cannot conclude that △PQR and △STU are similar triangles based on the given information.

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Answer:

c. m<-15/8

Step-by-step explanation:

solve

m + 1/4 < -13/8 = m< -15/8

It could be slightly lower or higher, but we can be confident that it falls somewhere between 0.32 minutes and 1.47 minutes.

The most accurate interpretation of the given confidence interval is as follows:

We are 95% confident that the true difference in mean wait time between Facility A and Facility B falls within the range of 0.32 minutes to 1.47 minutes.

This means that if we were to repeat the study multiple times and calculate a new confidence interval each time, we would expect that approximately 95% of those intervals would contain the true difference in mean wait time between the two facilities.

Furthermore, based on the observed data and the calculated confidence interval, we can conclude that the difference in mean wait time between Facility A and Facility B is likely to be positive, with Facility B having a higher mean wait time than Facility A. However, we cannot say with certainty that the true difference is exactly within this specific range; it could be slightly lower or higher, but we can be confident that it falls somewhere between 0.32 minutes and 1.47 minutes.

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1) The demand for good 1 is 10/(5√2) and the demand for good 2 is 50√2/2.

2) The demand for good 1 is e5 and the demand for good 2 is e2.

3) The tax revenue the government collects from the consumer is 0.16e5.

4) The demand for good 1 is m/p₁ and the demand for good 2 is m/p₂.

Question 1: If the consumer has the utility function u(x₁, x₂) = √(x₁x₂) and has an income of m = 10, the demand for the two goods can be found using the following equation:

MRSxy = Px/Py

Where MRSxy is the Marginal Rate of Substitution between goods x and y, Px and Py are the prices of goods x and y respectively.

Therefore, for this problem we have MRST1,2 = 1/5 and P₁ = 1, P₂ = 5. Solving for the demands x₁ and x₂, we get:

x₁ = 10/(5√2), x₂ = 50√2/2

Therefore, the demand for good 1 is 10/(5√2) and the demand for good 2 is 50√2/2.

Question 2: If the consumer has the utility function u(x₁, x₂) = 1/2 ln x₁ + 1/2 ln x₂ and has an income of m = 10, the demand for the two goods can be found using the same equation as in Question 1. In this case the MRST1,2, P₁, and P₂ are the same as in Question 1. Thus, solving for the demands x₁ and x₂, we get:

x₁ = e5, x₂ = e2

Therefore, the demand for good 1 is e5 and the demand for good 2 is e2. This is different than the demands found in Question 1, because the utility functions are different. The Square Root utility function in Question 1 implies that the consumer has diminishing marginal utility, whereas the Log utility function in Question 2 implies that the consumer has constant marginal utility.

Question 3: To find the tax revenue the government collects, we need to find the consumer's demand for good 1 before and after the imposition of the quantity tax. First, we find the demand for good 1 before the imposition of the tax, using the same equation as in Question 2. Thus, in this case the demand for good 1 is e5. Therefore, the quantity consumed before the tax is e5.

Now, let’s find the consumer’s demand for good 1 after the imposition of the tax, which is equal to the consumer’s demand before the tax multiplied by (1 - t), with t = 0.2. Therefore, the demand for good 1 after the tax is 0.8e5.

Since the quantity tax of 0.2 is imposed on the consumer’s demand for good 1, the tax revenue is equal to 0.2 * 0.8e5 = 0.16e5.

Thus, the tax revenue the government collects from the consumer is 0.16e5.

Question 4: If the consumer has a preference over good 1 and good 2 represented by the utility function u(x₁, x₂) = x₁ + x₂, given the prices of good 1 and 2 are p₁ and p₂ respectively, and the consumer has a income of m, the demand for the two goods can be found using the following equation:

MRSxy = p₁/p₂

Therefore, for this problem we have MRS1,2 = p₁/p₂. Solving for the demands x₁ and x₂, we get:

x₁ = m/p₁, x₂ = m/p₂

Therefore, the demand for good 1 is m/p₁ and the demand for good 2 is m/p₂.

Therefore,

1) The demand for good 1 is 10/(5√2) and the demand for good 2 is 50√2/2.

2) The demand for good 1 is e5 and the demand for good 2 is e2.

3) The tax revenue the government collects from the consumer is 0.16e5.

4) The demand for good 1 is m/p₁ and the demand for good 2 is m/p₂.

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The sum of the angles of a triangle always equals 180°, then we can formulate the following expression:

(x + 69)° + (39 + x)° + 90° = 180°

By combining like terms in the above equation, we get:

x + x + 69 + 39 + 90 = 180

2x + 198° = 180°

We can solve for x to get:

2x + 198 - 198 = 180 - 198

2x = 180 - 198

2x = -18

x = -18/2

x = -9

Then, x equals -9.

In order to calculate the measure of angle A, we just have to replace the value of x into the equation 39 + x, then we get:

mmm

Then, the measure of angle A equals 30°.

The experimental probability of the arrow stopping over section 1 is 7/13, or 0.538.

To calculate this, you need to take the number of times the arrow stopped on section 1 (45) and divide it by the total number of times the arrow was spun (80). This can be expressed as a fraction (45/80), which can be simplified to 7/13. To convert this fraction to a decimal, divide the numerator by the denominator (7/13 = 0.538).

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The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.

To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.

A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.

In this case, a = 25, so b = (1/2)(70) = 35.

Expanding (ax + b)^2, we have:

(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2

= 25x^2 + 70x + 1225.

Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.

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Answer:

18.84

Step-by-step explanation:

Answer:

18.84

Step-by-step explanation:

Answer:

The lesser integer is 9.

Step-by-step explanation:

Let the lesser integer be x then the greater is x+2

So, we have:

3x = 2(x+2) + 5

3x = 2x + 9

x = 9

So the numbers are 9 and 11.