what is 5/2x-7=3/4x+14? help please
​

He has mowed the law before he makes a total of Dollar 300, The number of times he has to mow a lawn is 10

Joe mows a lawn, for which he charges = $ 30

Some one-time cleanup work, for which he is paid = $ 60

According to the question:

He has to mow the lawn before he makes a total of Dollar300

Number of times he has to mow a lawn =   300 /  30

The number of times he has to mow a lawn = is 10

He has mowed the law before he makes a total of Dollar 300, 10 times.

Learn more about numbers :

https://brainly.com/question/13465215

#SPJ4

Answer:

no

thats just the answer "NO"

Answer:

14/24 can be a answer?

Step-by-step explanation:

Hope this helped :)

We can say with 95% confidence that the proportion of students in the school who prefer math is between 0.504 and 0.696.

What is Confidence Interval?

A confidence interval is a range of values that is likely to contain the true value of a population parameter, such as a mean or proportion.

To find a confidence interval for a population proportion, you can use the following formula:

CI = p ± z*(√(p*q/n))

Where:

CI represents the confidence interval

p is the sample proportion

q is the complement of the sample proportion (q = 1 - p)

n is the sample size

z is the z-score associated with the desired level of confidence

The z-score is determined based on the desired level of confidence and can be found in a standard normal distribution table or calculated using statistical software. For example, if you want a 95% confidence interval, the z-score would be 1.96.

It's important to note that this formula should only be used if the number of successes np' and the number of failures nq' are both greater than 5. If this condition is not met, the normal approximation may not be accurate and other methods should be used.

To use this formula, you would follow these steps:

Calculate the sample proportion (p) by dividing the number of successes by the sample size.

Calculate q by subtracting p from 1 (q = 1 - p).

Determine the z-score based on the desired level of confidence.

Calculate the confidence interval using the formula above.

For example, let's say you want to find a 95% confidence interval for the proportion of students in a school who prefer math over other subjects. You survey a random sample of 100 students and find that 60 prefer math.

Calculate the sample proportion: p = 60/100 = 0.6

Calculate q: q = 1 - 0.6 = 0.4

Determine the z-score for a 95% confidence interval: z = 1.96

Calculate the confidence interval: CI = 0.6 ± 1.96*(√(0.6*0.4/100)) = (0.504, 0.696)

Therefore, we can say with 95% confidence that the proportion of students in the school who prefer math is between 0.504 and 0.696.

To learn more about Confidence Interval visit:

https://brainly.com/question/15712887

#SPJ4

Answer:

Step-by-step explanation:

2| 1   -3    -10  24

 |       2   -2   -24

_______________

   1   -1    -12  |0

b=2

c=-1

d=-2

The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.


The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.

To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.

Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.

To know more about the factors affecting the demand for good X, refer here:

https://brainly.com/question/32566433#

#SPJ11

The derivative of y = cot(x) - 6x + 5 is y' = -csc^2(x) - 6.

The derivative displays how sensitively a function's output changes in relation to its input. Calculus's core tool is the derivative.

To find y' (the derivative of y) for the function y = cot(x) - 6x + 5, we will differentiate each term separately.

The derivative of cot(x) can be found using the quotient rule:

d/dx (cot(x)) = -csc^2(x)

The derivative of -6x is simply -6.

And the derivative of 5 (a constant) is 0 since a constant does not change with respect to x.

Now, let's put it all together:

y' = -csc^2(x) - 6 + 0

Simplifying, we have:

y' = -csc^2(x) - 6

So, the derivative of y = cot(x) - 6x + 5 is y' = -csc^2(x) - 6.

Learn more about derivative at https://brainly.com/question/25324584

#SPJ11

Answer:

-9 7/15

Step-by-step explanation:

\(sin^{-1} (sin17^{0} )\) = \(17^{0}\)

The inverse sine function (also called arcsine) is the inverse of sine function. Since sine of an angle (sine function) is equal to ratio of opposite side and hypotenuse, thus sine inverse of same ratio will give the measure of the angle.

sin (\(sin^{-1}x\)) = x, whenever x ∈ [-1, 1] and

sin (\(sin^{-1}x\)) is NOT defined whenever x ∉ [-1, 1].

Given

\(sin^{-1} (sin17^{0} )\)

Cancel out \(sin^{-1}\) and sin

\(sin^{-1} (sin17^{0} )\) = \(17^{0}\)

Find out more information about Sin of Sin Inverse of x here

https://brainly.com/question/21286835

#SPJ2

Answer:

Step-by-step explanation:

Given the expression;

4x/3x+1 = x/2x+10

We are to get the nature of the value of x

Cross multiply;

x(3x+1) = 4x(2x+10)

3x²+x = 8x²+40x

Collect like terms;

3x²-8x² + x - 40x = 0

-5x²+x -40x = 0

-5x²-39x = 0

-5x² = 39x

-5x = 39

x = -39/5

Since we have just one value of x hence, the equation has one valid solution and no extraneous of solutions.

The equation has one valid solution and no extraneous of solutions. The correct option is A.

An equation is a mathematical expression in terms of one or more unknown variable.

Given the equation : 4x/3x+1 = x/2x+10

Simplify by Cross multiplication, we get

x(3x+1) = 4x(2x+10)

3x²+x = 8x²+40x

3x²-8x² + x - 40x = 0

-5x²+x -40x = 0

-5x²-39x = 0

Simplifying further and solving for x

-5x² = 39x

-5x = 39

x = -39/5

We have just one value of x.

Hence, the equation has one valid solution and no extraneous of solutions.

Learn more about equations.

https://brainly.com/question/10413253

#SPJ5

There is no exact measure of θ that satisfies the condition cos(θ) = 3√2 in the first quadrant.

Given that the terminal side of angle θ is in the first quadrant and cos(θ) = 3√2, we can determine the exact measure of θ by using the inverse cosine function, also known as arccosine.

Since cos(θ) = adjacent/hypotenuse, we can set up a right triangle in the first quadrant with the adjacent side as 3√2 and the hypotenuse as 1. The opposite side of the triangle can be found using the Pythagorean theorem.

Let's calculate the length of the opposite side:

opposite^2 + adjacent^2 = hypotenuse^2

opposite^2 + (3√2)^2 = 1^2

opposite^2 + 18 = 1

opposite^2 = 1 - 18

opposite^2 = -17

Since the length of a side cannot be negative, we see that there is no real solution for the length of the opposite side. Therefore, the given cosine value of 3√2 does not correspond to an angle in the first quadrant.

Know  more about Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ11

Answer:

2.3 inches

Step-by-step explanation:

v = lwh (volume equals length times width times height)

5.52 = 2.4 x 1 x d
multiply l and w, which is 2.4 x 1

5.52 = 2.4 x d
divide 5.52 by 2.4

2.3 = d

Answer: 2.12

Step-by-step explanation: Okay, you first add 2.4+1, which is obviously 3.4.

Then you subtract 5.52 by 3.4.

You should get 2.12.

I hope I helped. <3

The production rate of the assembly line is 6000 parts per month.The assembly line produces 6000 parts per month, with a weekly production rate of 1500 parts.

To calculate the production rate of the assembly line, we need to consider the number of weeks in a month. Since the plant operates for 4 weeks per month, we can divide the total production by the number of weeks to find the weekly production rate.

Given that the assembly operations are sequential, we can calculate the weekly production rate as follows:

6000 parts/month ÷ 4 weeks/month = 1500 parts/week.

Therefore, the assembly line produces 1500 parts per week.

The assembly line produces 6000 parts per month, with a weekly production rate of 1500 parts. This information can be used for planning and managing production schedules efficiently.

To know more about production rate follow the link:

https://brainly.com/question/29252505

#SPJ11

10

Step-by-step explanation:

3*3 = 9.

9*3 = 27.

27-17 = 10.

Answer:

To solve this problem, we have to remember PEMDAS, which states the order of operations.

We see that we have to simplify the exponents before we add or subtract so we have:

3^3-17

3(3)(3)-17 <-- Remember that 3^3 is equal to 3 times 3 times 3

27-17

10

So, 10 would be your answer.

Let me know if this helps!

The only solution to the equation sin²x + sinx - 2 = 0 on the interval [0, 2π) is x = π/2. The given equation is a quadratic equation in terms of sin(x).

To solve it, we can use the quadratic formula, which states that for an equation of the form \(ax^2 + bx + c = 0\), the solutions are given by x = (-b ± √(b² - 4ac))/(2a).

In this case, the equation is sin²x + sinx - 2 = 0. Comparing it to the general quadratic equation form, we have a = 1, b = 1, and c = -2. Plugging these values into the quadratic formula, we get:

sin(x) = (-1 ± √(1² - 4(1)(-2))) / (2(1))

Simplifying further, we have:

sin(x) = (-1 ± √(1 + 8)) / 2

sin(x) = (-1 ± √9) / 2

sin(x) = (-1 ± 3) / 2

This gives us two possible values for sin(x):

1) sin(x) = (-1 + 3) / 2 = 1

2) sin(x) = (-1 - 3) / 2 = -2

However, since we are solving for x in the interval [0, 2π), the only valid solution is sin(x) = 1. Therefore, x = π/2.

In summary, the only solution to the equation sin²x + sinx - 2 = 0 on the interval [0, 2π) is x = π/2.

Learn more about quadratic formula here: https://brainly.com/question/22364785

#SPJ11

Answer:

c

Step-by-step explanation:

The statement "P implies Q" is false under the following conditions: a) P is true and Q is false, and d) P is false and Q is true.

The statement "P implies Q" can be expressed as "if P, then Q." It is a conditional statement where P is the antecedent (the condition) and Q is the consequent (the result).

To determine when the statement is false, we need to identify cases where P is true but Q is false, or when P is false but Q is true.

Option a) states that both P and Q are true. In this case, the statement "P implies Q" holds true because if P is true, then Q is true.

Option b) states that both P and Q are false. In this case, the statement "P implies Q" is considered true because the antecedent (P) is false.

Option c) states that P is true and Q is false. Under this condition, the statement "P implies Q" is false because when P is true, but Q is false, the implication does not hold.

Option d) states that P is false and Q is true. In this case, the statement "P implies Q" is true because the antecedent (P) is false.

Therefore, the conditions under which the statement "P implies Q" is false are a) P is true and Q is false, and d) P is false and Q is true.

Learn more about conditional statement here:

https://brainly.com/question/30612633

#SPJ11

Step-by-step explanation:

Answer :

There were 16 ounces of oil in the lantern at noon.

Let's start by defining the variables we know. We'll call the amount of oil in the lantern at noon "x," the rate at which the oil burns "r," and the time elapsed from noon to 2 pm "t." We know that the amount of oil in the lantern at 2 pm is 12 ounces, and at 4 pm, it's 8 ounces.

We can use the rate of oil burning to create an equation relating the amount of oil in the lantern to the time elapsed. The equation is:

x - rt = y

where "y" is the amount of oil in the lantern at any given time after noon. We can solve for "x" by plugging in the values we know at 2 pm:

x - 2r = 12

And at 4 pm:

x - 4r = 8

Now we have two equations with two variables. We can solve for "r" by subtracting the second equation from the first:

2r = 4

r = 2

Now we can plug in "r" to one of the equations to solve for "x." Let's use the first equation:

x - 2(2) = 12

x - 4 = 12

x = 16

To learn more about Lantern

https://brainly.com/question/8866257

#SPJ4

the profit at x=150 where x represents the number of cars sold is Rs632959.50

A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

functions with return values and parameters. This function accepts arguments and gives back a result: ...

functions that take parameters but have no return values.

functions with return values and no parameters.

functions that have no parameters or return values.

in place of x, 150

=0.00125(x)^4+x-3

=0.00125(150)^4+150-3

PEMDA, exponents, brackets, multiplication, division, addition, and subtraction

=0.00125(506250000)+150-3

=632812.50+150-3

=632962.50-3

=632959.50

To learn more about function, click the following link:-

https://brainly.com/question/25638609

#SPJ4

Answer:         Each pairs of shoes cost $21.

Answer:

4.33

Step-by-step explanation:

check picture attached for solution

The distance from point C(-7.2, 0.48) to the focus F(4, 3) is approximately 11.94 units, and the distance from C to the directrix y = -11 is approximately 11.48 units.

To find the distance from point C to the focus F, we can use the distance formula. The formula for the distance between two points (x1, y1) and (x2, y2) is given by:
\(d = sqrt((x2 - x1)^2 + (y2 - y1)^2)\)
Plugging in the coordinates of C and F into the formula, we get:
d = \(sqrt((4 - (-7.2))^2 + (3 - 0.48)^2) ≈ 11.94\)
Therefore, the distance from C to the focus F is approximately 11.94 units.
To find the distance from C to the directrix y = -11, we can simply find the vertical distance between the y-coordinate of C and the line y = -11. Since the y-coordinate of C is 0.48 and the directrix is y = -11, we have:
d = |-11 - 0.48| ≈ 11.48
Therefore, the distance from C to the directrix y = -11 is approximately 11.48 units.

learn more about directrix here

https://brainly.com/question/29498952

#SPJ11

\( - \frac{5}{4} \)

Step-by-step explanation:

It's going down 5 so it negative 5 and it moves to the right 4 times so it's positive 4.

Answer:

negative 5 over 4

Step-by-step explanation: