Find the slope of the line that passes through (10, 8) and (1, 4).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Hello!

As the exercise informs us that it has a constant rate, first we have to calculate the number of subscriptions each day. Let's do it using the formula below:

As it mentioned 330 subscriptions in 30 days, let's calculate the rate (subscriptions of each day):

As we know the rate, we just have to multiply it by the number of days that we want:

It all depends on how you want your hamburger. If you're serving it as a main dish, 300 hamburger patties (each around 4 ounces) should be plenty to feed 300 people. If you utilize hamburger meat as a topping or filler in a meal, you'll need a different amount.

Arithmetic operations is a field of mathematics that studies numbers and the operations on numbers that are helpful in all other disciplines of mathematics. It consists mostly of operations like addition, subtraction, multiplication, and division. Arithmetic Operator is used to conduct mathematical operations on the supplied operands such as addition, subtraction, multiplication, division, modulus, and so on. The four basic arithmetic operations are addition, subtraction, multiplication, and division. Arithmetic mean is a number calculated by dividing the sum of a set's elements by the number of values in the set.

Here,

It all depends on how you want to eat the hamburger. If you're serving it as a main course, 300 hamburger patties, each weighing around 4 ounces, should plenty to satisfy 300 people. It will need a different quantity of hamburger meat if you use it as a topping or filler in a dish.

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Complete question:

How much hamburger will it take to make 300 three oz patties with a 20% shrinkage?

Answer:

380 students

Step-by-step explanation:

133 = 35%

\(\frac{133}{35}\) = 1%

3.8 = 1%

3.8 * 100

= 380

The inches of farming the picture require is 45 inches

From the question, we have the following parameters that can be used in our computation:

Base = 5 in

High = 4 in

Scale factor = 2.5

The inches of farming the picture require is calculated as

Perimeter = 2 * (Base + High) * Scale factor

Substitute the known values in the above equation, so, we have the following representation

Perimeter = 2 * (5 + 4) * 2.5

Evaluate

Perimeter = 45

Hence, the inches of farming the picture require 45 inches

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Our figure is a regular polygon. A polygon is regular when all angles are equal and all sides are equal. The measure of each inside angle of a regular polygon is given by the following expression

Where n represents the amount of sides.

Since our polygon is a regular hexagon, we have n = 6. Using this value on the expression, we have

The measure of each interior angle a regular hexagon is 120º.

Answer:

The solution is (2,-1)

Answer:

x = 2

y = -1

Step-by-step explanation:

I used substitution

The option that is not characteristic of the t-test is "The Student t distribution has mean of t = 0 and a standard deviation of 5 = 1". The correct answer is option A.

The t-test is a statistical test that uses the Student t-distribution. The Student t-distribution has a mean of 0, but its standard deviation is not equal to 1. The standard deviation of the t-distribution varies depending on the degrees of freedom, which is determined by the sample size. Therefore, the statement in option A is not true. The correct answer is option A.

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A) True. Therefore, there should be no systematic bias when probability sampling is done correctly.

When conducting a research study, it is important to ensure that the sample chosen is representative of the population. Probability sampling is a method that aims to achieve this by giving each member of the population an equal chance of being included in the sample.

When this sampling method is done correctly, it minimizes bias and ensures that the sample is truly representative. For example, let's consider a study on the average height of students in a particular school.

If we were to use probability sampling, we would assign a number to each student and then randomly select a certain number of students from that pool. This would give every student an equal chance of being chosen for the sample, eliminating any systematic bias that might arise if we were to select students based on subjective criteria.

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When specializing in the goods they have a comparative advantage in, you will produce 36 pounds of apples and your neighbor will produce 16 pounds of cherries. After trading half of your production for half of your neighbor's, you will end up consuming 18 pounds of apples and 8 pounds of cherries, while your neighbor will consume 18 pounds of cherries and 4 pounds of apples.

To find the production levels when specializing, we need to identify the goods each party has a comparative advantage in. You produce 72 pounds of apples and 12 pounds of cherries when focusing solely on each good, while your neighbor produces 32 pounds of both apples and cherries. You have a comparative advantage in apples since you can produce 6 times more apples than cherries (72 apples vs. 12 cherries) while your neighbor can only produce twice as many apples as cherries (32 apples vs. 16 cherries).

Thus, you will specialize in apple picking, and your neighbor will specialize in cherry picking. As a result, you will produce 36 pounds of apples, and your neighbor will produce 16 pounds of cherries. After trading, you both end up with half of each other's production. You will consume 18 pounds of apples and 8 pounds of cherries, while your neighbor will consume 18 pounds of cherries and 4 pounds of apples. This specialization and trade allow both of you to enjoy a more diverse consumption bundle and increase overall welfare.

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The sequence cos(0),cos(π),cos(2π),cos(3π),cos(4π),… can be represented as a function k: N -> R, where N is the set of natural numbers and R is the set of real numbers. The domain of the function is the set of natural numbers, and the codomain is the set of real numbers. The function l: N -> {-1,1}, where l(n) = (-1)^(n).

The sequence 1,14,19,116,… can be represented as a function f: N -> N, where N is the set of natural numbers. The rule for determining the outputs of the function is as follows: f(1) = 1, f(2) = 14, f(3) = 19, f(4) = 116, and so on.
The sequence 13,19,127,181,… can be represented as a function g: N -> N, where N is the set of natural numbers. The rule for determining the outputs of the function is as follows: g(1) = 13, g(2) = 19, g(3) = 127, g(4) = 181, and so on. The domain of the function is the set of natural numbers, and the codomain is also the set of natural numbers. We can see that this sequence is not equal to any of the other sequences given.

The sequence 1,−1,1,−1,1,−1,… can be represented as a function h: N -> {-1,1}, where N is the set of natural numbers. The rule for determining the outputs of the function is as follows: h(1) = 1, h(2) = -1, h(3) = 1, h(4) = -1, and so on. The domain of the function is the set of natural numbers, and the codomain is the set {-1,1}. We can see that this sequence is equal to the function f: N -> {-1,1}, where f(n) = (-1)^(n+1).

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The measure of arc BEC is 134°. The correct option is the first option 134°

From the question, we are to determine the measure of arc BEC

In the given diagram,

Measure of angle C = 1/2 (measure of arc AB)

Reason: The measure of an inscribed angle is half the measure of the intercepted arc

∴ Measure of angle C = 1/2 (76°)

Measure of angle C = 38°

m∠A + m∠B + m∠C = 180° (Sum of angles in a triangle)

m∠A + 75° + 38° = 180°

m∠A + 113° = 180°

m∠A = 180° - 113°

m∠A = 67°

Measure of arc BEC = 2 × m∠A (Angle at the center is twice the angle at the circumference)

Measure of arc BEC = 2 × 67°

Measure of arc BEC = 134°

Hence, the measure of arc BEC is 134°. The correct option is the first option 134°

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Answer:

The answer is x = -13/4

Step-by-step explanation:

-13/4 + 2  /  -13/4 +3 = 5

To give your daughter $50,000 towards her college education in 15 years, you must set aside approximately $14,803.42 today.

To calculate the amount of money you need to set aside today, we can use the concept of future value of a lump sum. The future value is the amount of money an investment will grow to in the future, given a certain interest rate and time period.

In this case, we want to determine the present value (the amount you need to set aside today) to achieve a future value of $50,000 in 15 years, assuming an annual interest rate of 9 percent. The formula to calculate present value is:

Present Value = \(Future Value / (1 + Interest Rate)^T^i^m^e\)

Plugging in the values, we have:

Present Value = \($50,000 / (1 + 0.09)^1^5\)

Present Value ≈ $14,803.42

Therefore, you would need to set aside approximately $14,803.42 today in order to accumulate $50,000 for your daughter's college education in 15 years, assuming an annual interest rate of 9 percent.

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Answer: 440 ft

Step-by-step explanation:

The top walking deck is 120ft long and yet comprises only 3/11 of the ships total length.

Assuming the total length of the ship is x ft long, the expression would therefore be:

x * 3/11 = 120 ft

The above shows that if x is multiplied by 3/11 it will give a distance of 120ft which is the top walking deck length.

Solving for x:

x * 3/11 = 120

x = 120 ÷ 3/11

x = 120 * 11/3

x = 440 ft

Note: When being divided by a fraction, you can multiply the inverse of the fraction to find the result.

Answer: -27a + 10

Step-by-step explanation:

1

Distribute

- 9a - 2 ( 9a - 5 )

- 9a - 18a + 10

2

Combine like terms

- 9a - 18a + 10

- 27a + 10

The town's population in 10 years will be approximately 47.8% of its current population.

What is linear combinations?

In mathematics, a linear combination is a sum of scalar multiples of one or more variables. More formally, given a set of variables x1, x2, ..., xn and a set of constants a1, a2, ..., an, their linear combination is given by the expression:

a1x1 + a2x2 + ... + anxn

Let P be the current population of the town.

In the first year, the population will decrease by 7%, which means that the population after the first year will be:

P1 = P - 0.07P = 0.93P

In the second year, the population will decrease by another 7%, so the population after the second year will be:

P2 = 0.93P - 0.07(0.93P) = 0.8649P

We can continue this process for 10 years:

P10 = \(0.93^{10}\)P ≈ 0.478P

Therefore, the town's population in 10 years will be approximately 47.8% of its current population.

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Answer:

Area of ΔABF = 6 square units

Step-by-step explanation:

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The area of the ΔABF is 6 units².

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

To find the area of the ΔABF, we need to find the length of the base and the altitude of the triangle. Therefore, we can write the lengths as,

Base, FA = \(\sqrt{[-5-(-2)^2]+[4-1]^2}\)

               =√[(-5+2)² + (3)²]

               = √[(-3)² + (3)²]

               = √(9 + 9)

               = √18

               = 3√2

Altitude, BF = \(\sqrt{[0-(-2)^2]+[3-1]^2}\)

                   =√[(0+2)² + (2)²]

                   = √[(2)² + (2)²]

                   = √(4 + 4)

                   = √8

                   = 2√2

Now, the area of the triangle can be written as,

Area of the triangle = (1/2) × Base × Altitude

                                = 0.5 × 3√2 × 2√2

                                = 6 units

Hence, the area of the ΔABF is 6 units².

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Answer:

2h+7j+2

Step-by-step explanation:

9h-7h=2

the 7j has nothing to add or subtract

the 2 is a -(-2) so you'd add it.

Answer:

x=7

Step-by-step explanation:

You would set them equal to each other and solve for x.

We set them equal to each other becuase they are congruent.

Answer:

x=7

Step-by-step explanation:

we know that both degrees are equal to each

other so we set (17x-10)=(15x+4)

Let's solve your equation step-by-step.

17x−10=15x+4

Step 1: Subtract 15x from both sides.

17x−10−15x=15x+4−15x

2x−10=4

Step 2: Add 10 to both sides.

2x−10+10=4+10

2x=14

Step 3: Divide both sides by 2.

2x

2

=

14

2

x=7

Answer:

x=7

Answer:

perimeter of rectangle=2(l+b)

24cm = 2(7cm+w)

24cm =14cm+2w

24cm - 14cm = 2w

10cm=2w

10cm/2=w

5cm=width.

Answer:

the perimeter of a rectangle = 2(l+b)

length = 7cm

2(7+b) = 24

7+b = 24/2 = 12

b=12-7 = 5

width = 5cm

hope this answer helps you...

The answer for 8 is a $27 tip

The answer for 9 is a $26.92 tip

Answer:

they are 4 i think

Step-by-step explanation:

5 x 4 = 20

Answer:

100

Step-by-step explanation:

20 divided by 1/5 = 20 x 5/1 = 100

The quotient of this division problem option A: 18 r89.

To find the quotient of the division problem 13,391 ÷ 739, we divide the dividend (13,391) by the divisor (739). The quotient represents the whole number result of the division, and any remaining value is the remainder.

Performing the division, we have:

First, we determine how many times 739 can be divided into 13,391 without exceeding it. We find that 739 can be divided into 13,391 eighteen times. We write this as the first part of the quotient:

      18

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

739 | 13,391

      739

We have a remainder of 89, which means we couldn't divide 89 further by 739 without exceeding it. Hence, we write the remainder after the division symbol:

 ----------

       6,651

      5,913

 ----------

         738

Remember, when performing division, the quotient represents the whole number result obtained from dividing the dividend by the divisor, and the remainder represents what is left after the division.

The division process shows that the quotient is 18 (OA) with a remainder of 738. Therefore, the correct answer is OA: 18 r89.

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Answer:

The type of polygon that is formed is a Hexagon because of its 6 sides.

Step-by-step explanation:

When you graph all of these points into a coordinate grid it should look like this:

the values of x and y that make the points (1,2,3), (5,7,1), and (x,y,2) collinear are x = 2 and y = 4.

Let's consider the direction ratios of the given points:

Point 1: (1, 2, 3)

Direction ratios: (1-0, 2-0, 3-0) = (1, 2, 3)

Point 2: (5, 7, 1)

Direction ratios: (5-1, 7-2, 1-3) = (4, 5, -2)

Point 3: (x, y, 2)

Direction ratios: (x-1, y-2, 2-1) = (x-1, y-2, 1)

Since the direction ratios should be proportional, we can set up the following proportion:

(1, 2, 3) / (4, 5, -2) = (x-1, y-2, 1) / (4, 5, -2)

This gives us the following ratios:

1/4 = (x-1)/4

2/5 = (y-2)/5

3/-2 = 1/-2

Simplifying these ratios, we get:

1 = x - 1

2 = y - 2

3 = 1

Solving these equations, we find:

x - 1 = 1

x = 2

y - 2 = 2

y = 4

Therefore, the values of x and y that make the points (1,2,3), (5,7,1), and (x,y,2) collinear are x = 2 and y = 4.

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a) It would take Anya approximately 4 years to accumulate $40,000 with an annual interest rate of 12%. b) Anya must earn an annual rate of return of approximately 12.6% to save $40,000 in 3 years.

a) To calculate the number of years it would take Anya to accumulate $40,000, we can use the future value formula for compound interest:

Future Value = Present Value * (1 + interest rate)ⁿ

Where:

Future Value = $40,000

Present Value = $25,000

Interest rate = 12% = 0.12

n = number of years

Substituting the given values into the formula, we have:

$40,000 = $25,000 * (1 + 0.12)ⁿ

Dividing both sides of the equation by $25,000, we get:

(1 + 0.12)ⁿ = 40,000 / 25,000

(1.12)ⁿ = 1.6

To solve for n, we can take the logarithm of both sides of the equation:

n * log(1.12) = log(1.6)

Using a calculator, we find that log(1.12) ≈ 0.0492 and log(1.6) ≈ 0.2041. Therefore:

n * 0.0492 = 0.2041

n = 0.2041 / 0.0492 ≈ 4.15

b) To calculate the required rate of return for Anya to save $40,000 in just 3 years, we can rearrange the future value formula:

Future Value = Present Value * (1 + interest rate)ⁿ

$40,000 = $25,000 * (1 + interest rate)³

Dividing both sides of the equation by $25,000, we have:

(1 + interest rate)³ = 40,000 / 25,000

(1 + interest rate)³ = 1.6

Taking the cube root of both sides of the equation:

1 + interest rate = ∛1.6

Subtracting 1 from both sides, we get:

interest rate = ∛1.6 - 1

Using a calculator, we find that ∛1.6 ≈ 1.126. Therefore:

interest rate = 1.126 - 1 ≈ 0.126

To express the interest rate as a percentage, we multiply by 100:

interest rate = 0.126 * 100 = 12.6%

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Answer:

I believe UV=45 and RS=114

Answer:

1,054.8

Step-by-step explanation:

multiple 879 x .04 = 35.16 x 5=175.8 +879

Answer:

After five years you will have $6,153

Step-by-step explanation:

Just multiplied 879 and 1.4, then multiplied that by 5.