PLEASE HELP! I NEED THIS RIGHT NOW!! I WILL GIVE 30 POINTS!!!
You have a leaky pipe in your house. A plumbing company charges $45 for a house call. They charge $15 for every hour it takes them to fix the leak. Write an equation for this senario and determine what the variables x and y mean.

Therefore, the required simple interest rate is approximately 3.8%.

To find the required simple interest rate, we can use the formula:

Simple Interest = Principal * Interest Rate * Time

We know the principal (P) is $4790, the final amount (A) is $6500, and the time (T) is 9 years. We need to find the interest rate (R).

First, let's calculate the interest (I):

I = A - P = $6500 - $4790 = $1710

Now we can substitute the values into the formula and solve for the interest rate:

I = P * R * T

$1710 = $4790 * R * 9

Dividing both sides by ($4790 * 9):

R = $1710 / ($4790 * 9) ≈ 0.038 (rounded to three decimal places)

To convert this to a percentage, we multiply by 100:

R ≈ 0.038 * 100 ≈ 3.8

Therefore, the required simple interest rate is approximately 3.8%.

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We can set up a proportion to find the number of grams of bichloride in 250 mL:

(1 gram) / (0.5 liter) = (x grams) / (0.25 liter)

Cross-multiplying:

0.5x = 0.25

Dividing both sides by 0.5:

x = 0.25 / 0.5 = 0.5

Therefore, 250 mL will contain 0.5 grams of bichloride.

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We can match the quadratic functions in factored form with their solutions in this way:

1) 1) f(x) = (x - 2)² is C) x = 2.

2) g(x) = (x + 2)(x - 1) is D) x = -2, 1

3) y = (2x-1)(3x + 4) is A) x = 1/2, -4/3

4) y = 3x(x-3) is B) x = 0, 3

Here, the quadratic functions are already in factored form. So, we shall use the zero product property to solve the functions.

1) f(x) = (x - 2)²

x = 2 (multiplicity 2)

Let's set the expression equal to zero and solve for x:

(x - 2)² = 0

x - 2 = 0

x = 2

2) g(x) = (x + 2)(x - 1)

Here, we will use the zero product property again:

(x + 2)(x - 1) = 0

x + 2 = 0, x - 1 = 0

x = -2, x = 1

3) y = (2x-1)(3x + 4)

Also, we apply the zero product property and solve for x:

2x-1 = 0, 3x + 4 = 0

2x = 1, 3x = -4

x = 1/2, x = -4/3

4) y = 3x(x-3)

We will use the zero product property:

3x = 0, x - 3 = 0

x = 0, x = 3

Therefore, the solutions to the quadratic functions are:

1) f(x) = (x - 2)² is C) x = 2

2) g(x) = (x + 2)(x - 1) is D) x = -2, 1

3) y = (2x-1)(3x + 4) is A) x = 1/2, -4/3

4) y = 3x(x-3) is B) x = 0, 3

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The velocity of the boat when it reaches the buoy is approximately 17.32 m/s. This is found using the equation v² = u² + 2as, where u is the initial velocity, a is the acceleration, and s is the displacement.

To solve this problem, we can use the equations of motion. The initial velocity of the boat, u, is 30 m/s, the acceleration, a, is -3.0 m/s² (negative because the boat is slowing down), and the displacement, s, is 100 m. We need to find the final velocity, v, when the boat reaches the buoy.

We can use the equation: v² = u² + 2as

Substituting the given values, we have:

v² = (30 m/s)² + 2(-3.0 m/s²)(100 m)

v² = 900 m²/s² - 600 m²/s²

v² = 300 m²/s²

Taking the square root of both sides, we find:

v = √300 m/s

v ≈ 17.32 m/s

Therefore, the velocity of the boat when it reaches the buoy is approximately 17.32 m/s.

The problem provides the initial velocity, acceleration, and displacement of the boat. By applying the equation v² = u² + 2as, we can find the final velocity of the boat. This equation is derived from the kinematic equations of motion. The equation relates the initial velocity (u), final velocity (v), acceleration (a), and displacement (s) of an object moving with uniform acceleration.

In this case, the boat is decelerating with a constant acceleration of -3.0 m/s². By substituting the given values into the equation and solving for v, we find that the velocity of the boat when it reaches the buoy is approximately 17.32 m/s.

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Answer:

Step-by-step explanation:

In ΔABC & ΔCDA

AB ≅ CD                        Given

BC ≅ AD                         Given

AC ≅ CA                          Reflexive property

ΔABC ≅ ΔCDA                SSS congruent

⇒ ∠B =∠D                        CPCT {Corresponding parts of congruent triangles}

Now, join BD.

In ΔBAD  & ΔBCD

AB ≅CD            Given

AD ≅ BC            Given

BD ≅ DB            Reflexive property

ΔBAD ≅ ΔBCD      SSS congruent

Answer:

5,166,000

Step-by-step explanation:

grown population after 1 year=2.5/100×5040000

which is 126,000

total population after 1year=5040000+126000

which is 5166000

The theoretical probability that the coin lands on tails and you roll a 5 is equals to the 1 over 12, i.e., 1/12.

Probability is calculated by ratio of the number of ways it could happen the total number of possible outcomes. We have, a cube with six sided and each side is labeled with numbers 1, 2, 3, 4, 5, and 6. So, total possible outcomes on rolling six sided cube = 6 = { 1,2,3,4,5,6 }

Total number of outcomes when a coin is fillped = 2 = { H, T}

A coin is flipped and a cube is rolled.

Favourable outcomes to result a 5 on rolling cube = 1

So, probability of occurrence 5 on rolling = 1/6

Similarly, favourable outcomes for lands tail on flipping a coin = 1.

That is probability of landing tails on filpping= 1/2.

Since these are independent events, the collective probability is equals to multiplication the results of each event. The probability of rolling a 5 and flipping tails = 1/2 x 1/6 = 1/12. Therefore, The required probability is 1/12.

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basically you would do length x width

5x and x

6 and 4

The probability that the sample mean age is between 19 and 22 years is approximately 0.8186 or 81.86% (rounded to four decimal places).

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

We know that the sample mean age of 9 students follows a normal distribution with a mean of 21 years and a standard deviation of 3/sqrt(9) = 1 year (since the standard error of the mean is the standard deviation divided by the square root of the sample size).

To find the probability that the sample mean age is between 19 and 22 years, we first need to standardize the values using the standard normal distribution. We can do this by subtracting the mean and dividing by the standard error:

z1 = (19 - 21) / 1 = -2

z2 = (22 - 21) / 1 = 1

Now we need to find the probability that the sample mean falls between -2 and 1 standard deviations from the mean of the standard normal distribution. We can look this up in a standard normal distribution table or use a calculator:

P(-2 < Z < 1) = 0.8186

Therefore, the probability that the sample mean age is between 19 and 22 years is approximately 0.8186 or 81.86% (rounded to four decimal places).

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Answer:7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

420÷60 is the same as 42÷6.

42 goes into 6, 7 times:

6, 12, 18, 24, 30, 36, 42.

Therefore, 420÷6 is 7.

Please use a calculator next time.

Answer:

412

Step-by-step explanation:

i need more letters snsnsnsnsjjs

The relationship between point Z and the triangle is that Z is called the incenter of the triangle.

The theorem associated with the incenter is called the Incenter Theorem.

We have,

The center inside a triangle is called the incenter.

The theorem associated with the incenter is called the Incenter Theorem.

The Incenter Theorem states that the incenter of a triangle is equidistant from the three sides of the triangle.

This means that the incenter is the center of the circle that can be inscribed inside the triangle, known as the incircle.

Thus,

The relationship between point Z and the triangle is that Z is called the incenter of the triangle.

The theorem associated with the incenter is called the Incenter Theorem.

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Answer:

0 - 20

1 -22

5 - 30

10 - 40

15 - 50

20 - 60

Step-by-step explanation:

The initial amount this equation is 20 so that is why at 0 shirts its still 20 dollars for the set up fee and 2 dollars per shirt. Now that we have this information we can actually make a linear equation

y = 2x + 20

y = the total cost

x = the number of shirts

All you have to do next is plug in the number of shirts to get the total cost

Example:   2(1) + 20 = y

2 + 20 = y

22 = y

Meaning for 1 shirt it would be 22 dollars in total

Answer:

2y = 7x - 19

Step-by-step explanation:

can you accept my invite plz i wanna chat

and is it right

Hello!

∛729 = 9

The answer is 9.

Answer:

0.41666666666

Step-by-step explanation:

Answer:

The value is 5/12

Answer:

Hours:         Elevation:

0                  3000

2                  2000

5                  500

Step-by-step explanation:

Time is always placed on the x (horizontal) axis, and the dependent variable on the y. Just find the number given and find the corresponding value to go with it! Hope this helps :)

Let the integer be X

2x+64=99

2x= 99-64

2x= 34

x=34÷2

X= 17.5

Answer: 1,176 miles

Step-by-step explanation:

490 / 5 = 98 miles

98 mph X 12 hours is 1,176

Given:

You order 1.5 pounds of turkey at the deli. You will accept the turkey if its weight is between 1.54 and 1.46 pounds.

To find:

The absolute value inequality that can be used to describe the tolerance of the weight of the turkey

Solution:

Let x be the actual weight of the turkey.

It will accepted, if its weight is between 1.54 and 1.46 pounds.

\(1.46\leq x\leq 1.54\)

Subtract 1.5 from each side.

\(1.46-1.5\leq x-1.5\leq 1.54-1.5\)

\(-0.04\leq x-1.5\leq 0.04\)

\(|x-1.5|\leq 0.04\)

Therefore, the required absolute inequality is \(|x-1.5|\leq 0.04\).

Answer:

8

Step-by-step explanation: 6 (half the perimeter). By truial and error, 2 units by 4 units.

Answer:

4.79

Step-by-step explanation:

4.79 is reasonable for the problem

The price of one paint set before the sale is $4.79

We are expected to determine the price of one paint set before the sale.

From the information given:

∴

The amount at which Yuri bought 1 paint set is:

\(\mathbf{= \dfrac{\$6.88}{2.0}}\)

= $3.44

Recall that during the sale, the store reduce the price of each paint set by $1.35

Therefore, the price of one paint set before the sale is = $3.44 + $1.35 = $4.79

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\(\\ \rm\rightarrowtail -4(2x+1)\leqslant 3(x-5)\)

\(\\ \rm\rightarrowtail -8x-4\leqslant 3x-15\)

\(\\ \rm\rightarrowtail -11x\leqslant -11\)

\(\\ \rm\rightarrowtail x\geqslant 1\)

Answer:

x ≥ 1

Step-by-step explanation:

Given inequality :

-4(2x + 1) ≤ 3(x - 5)

Step 1 : Expand on both sides

Step 2 : Bring x terms to one side and numerical terms to the other

Step 3 : Divide by -11 on both sides

Solution

x ≥ 1

The solutions for the system of equations given by Substitution method is (27, 114), (-0.25, -5.625), (0, -3) and (0, -2).

Linear equations involve one or more expressions including variables and constants and the highest exponent of the variable is 1.

System of linear equations involve two or more linear equations.

1) -4x + y = 6

5x - y = 21

We are using Substitution Method.

From, -4x + y = 6, we get, y = 4x + 6

Substituting y = 4x + 6 in the equation 5x - y = 21, we get,

5x - (4x + 6) = 21

5x - 4x - 6 = 21

x = 27

So, y = 4x + 6 = 114

2) -7x - 2y = 13

x - 2y = 11 ⇒ x = 2y + 11

Substituting x = 2y + 11 in the first equation -7x - 2y = 13,

-7(2y + 11) - 2y = 13

-14y - 77 - 2y = 13

-16y = 90

y = -5.625

So, x = 2y + 11 = -0.25

3) -5x + y = -3 ⇒ y = 5x - 3

3x - 8y = 24

Substituting y = 5x - 3 in the second equation 3x - 8y = 24,

3x - 8(5x - 3) = 24

3x - 40x + 24 = 24

x = 0

y = 5x - 3 = -3

4) -5x + y = -2 ⇒ y = 5x - 2

-3x + 6y = -12

Substituting y = 5x - 2 in the second equation -3x + 6y = -12,

-3x + 6 (5x - 2) = -12

-3x + 30x - 12 = -12

x = 0

So, y = 5x - 2 = -2

Hence the system of equations are solved.

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The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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The optimal level of Y is option a) 23

TB = \(300Y - 6Y^2\)

MB or Marginal Benefit will result from the first derivative

MB=300-12Y

and TC = 24Y + 108

Marginal Cost, or MC, will result from the first derivative.

MC=24

MC=MB is the level of Y that is ideal.

300-12Y=24

12Y=276

Y=23

The expense that a business incurs when it needs to produce extra units of any goods or services is referred to as a marginal cost.

It is computed by taking into consideration the whole cost of creating the extra items and dividing that sum by the variation in the overall quantity of the produced goods.

Variable costs like materials and labor are included in marginal costs. Additionally, it takes into account any increases in fixed expenses like selling, administration, and overhead.

When a change in production volume is required, the cost change is referred to as the change in the cost of production. More labor and raw resources are needed to produce additional units, changing the overall cost of production.

The volume of output either increases or decreases, which affects quantity. With an increase or decrease in production, there will be a variation in cost.

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The sample size n is fixed, and k can vary from 0 to n. Thus, the probability distribution function of the sample depends on the parameter p and the sample size n.

Let's denote the random sample as y1, y2, ..., yn, where each yi represents the outcome of a Bernoulli trial with a parameter p. In a Bernoulli distribution, each trial can result in one of two possible outcomes, typically labeled as "success" or "failure," with probabilities p and 1-p, respectively.

To find the probability distribution function (pdf) of this random sample, we can express it as a product of individual probabilities for each observation. Since each yi follows a Bernoulli distribution, the probability of observing a success (yi = 1) is p, and the probability of observing a failure (yi = 0) is 1-p.

The probability of the entire sample y1, y2, ..., yn can be calculated as the joint probability of each observation, assuming independence:

P(y1, y2, ..., yn) = P(y1) * P(y2) * ... * P(yn) = p^k * (1-p)^(n-k)

where k is the number of successes in the sample (the number of yi's equal to 1) and n-k is the number of failures (the number of yi's equal to 0).

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Answer:

He is incorrect.Because if they are irrational they are the opposite.

Step-by-step explanation: