Find the equation of the line shown

Answer:

\(\frac{1}{4}\)

Step-by-step explanation:

Given expression:

         3(-4x + 5) = 12

To solve for x;

  Use the distributive property to open the parentheses;

     3(-4x) + 3(5) = 12

      -12x + 15 = 12

 then, add -15 to both sides;

    -12x + 15 + (-15) = 12 + (-15)

            -12x  = -3

  divide both sides by -12;

        \(\frac{-12x}{-12}\)   = \(\frac{-3}{-12}\)

           x  = \(\frac{1}{4}\)

Answer: the volume is 10.5

Step-by-step explanation:

V=lwh

V= 4 x 3/4 x 3.5

V = 4 x 2.625

V = 10.5

Subtracting 7 and dividing by -3 on both sides shows us that y = -9

Answer:

Y=-9

Step-by-step explanation:

-27 - 3y  =   -3 • (y + 9)

Solve :    -3   =  0

y+9 = 0

y = -9

1) 1000 AA Batteries in one Case.

2) 10,000 AA Batteries in One carton.

3) 100,000 AA Batteries in 10 cartons.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The Store sells AA batteries in the order below:

⇒ 10 batteries in 1 packages

⇒ 10 packages in 1 box

⇒ 10 boxes in 1 case

⇒ 10 cases in 1 Carton

1) We want to determine how many AA batteries are in 1 Case;

Using Multiplication

Number of AA Batteries in 1 Case = 10 Batteries × 10 package × 10 box

                                                    = 1000 AA Batteries

2) We want to determine how many AA batteries are in 1 Carton;

From Part (a),

There are 1000 AA Batteries in 1 Case.

Since, There are 10 Cases in 1 carton.

Number of Batteries in 1 carton = 10 × 1000

                                                 = 10,000 AA Batteries

3) 10 Cartons

⇒ 1 carton = 10000 AA Batteries

Therefore, We get;

⇒ 10 Cartons = 10 × 10000

                    = 100,000 AA Batteries

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Answer:

2. y= -2x

Step-by-step explanation:

When the line is on an exact point like it is on (-4, 8), we can simplify it by going rise/run

Rise is the same as y (8), and your run is x (-4)

When you divide 8/-4, your answer will be -2

Therefore, the answer is y= -2x

Answer:

m=44

Step-by-step explanation:

Answer:

m=44

Step-by-step explanation:

The visibility requirement is 3 statute miles, and cloud clearance requires maintaining 500 feet below, 1,000 feet above, and 2,000 feet horizontally from clouds during VFR daylight operations over Coopers Town.

The visibility and cloud clearance requirements to operate VFR during daylight hours over the town of Coopers Town between 1,200 feet AGL and 10,000 feet MSL are as follows:

1. Visibility: The minimum visibility required is 3 statute miles.

2. Cloud clearance: Maintain a distance of at least 500 feet below, 1,000 feet above, and 2,000 feet horizontally from clouds.

According to VFR regulations, pilots flying during daylight hours must adhere to certain visibility and cloud clearance requirements for safety. The visibility requirement of 3 statute miles means that the pilot must have a clear horizontal view of at least 3 miles ahead.

This ensures sufficient visual reference to navigate and avoid other aircraft or obstacles.

Regarding cloud clearance, pilots must maintain a safe distance from clouds to ensure visibility and separation from potential hazards. The requirement is to remain at least 500 feet below clouds to avoid inadvertently entering them.

Additionally, pilots must maintain a minimum of 1,000 feet above clouds to prevent the risk of collision or reduced visibility due to cloud turbulence. Lastly, a horizontal separation of 2,000 feet from clouds helps ensure adequate maneuvering space and visual reference in relation to cloud formations.

These visibility and cloud clearance requirements help maintain safety and situational awareness for VFR operations during daylight hours over Coopers Town.

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Answer:

x = 15

explanation:

we have to find both the hypotenuse of the triangles to solve this.

for the smaller triangle:

x² + 5² = h²

h = √x² + 5²

for the bigger triangle:

x² + 45² = h²

h = √x² + 45²

now that if you look, we found the sides - adjacent and leg side of the Δ

solving using Pythagoras theorem:

a² + b² = c²

(√x² + 45²)² + (√x² + 5²)² = 50²

x² + 2025 + x² + 25 = 2500

2x² = 450

x² = 225

x = ± 15

x = 15

Solution:

Finding the hypotenuse of the small triangle:

Finding the hypotenuse of the big triangle:

Finding the value of x.

The complete solution to the differential equation is: y(x) = c₁ * x^5 + (C \ln|x| + D) * x^5

The second solution y₂(x) for the differential equation x²y" - 9xy' + 25y = 0, given y₁(x) = x^5, can be found using the reduction of order method. We need to find the second solution y₂(x).

We can assume it to be of the form y₂(x) = v(x) * y₁(x), where v(x) is a function to be determined.

we differentiate y₂(x) with respect to x:

y₂'(x) = v'(x) * y₁(x) + v(x) * y₁'(x)

we differentiate y₂'(x) with respect to x:

y₂''(x) = v''(x) * y₁(x) + 2 * v'(x) * y₁'(x) + v(x) * y₁''(x)

Substituting these expressions into the given differential equation x²y" - 9xy' + 25y = 0 and replacing y₁(x) with x⁵, we get:

x²(v''(x) * x⁵ + 2 * v'(x) * 5x⁴ + v(x) * 20x³) - 9x(v'(x) * x⁵ + v(x) * 5x⁴) + 25(v(x) * x⁵) = 0

\(x^7v''(x) + 10x^6v'(x) + 20x^5v(x) - 9x^6v'(x) - 45x^5v(x) + 25x^5v(x) = 0\)

This reduces to:

\(x^7v''(x) + x^6v'(x) = 0\)

To solve this equation, we can use the substitution u(x) = v'(x). Differentiating u(x) with respect to x gives:

u'(x) = v''(x)

these values into the equation x^7v''(x) + x^6v'(x) = 0, we get:

\(x^7u'(x) + x^6u(x) = 0\)

Dividing both sides by x^7, we have:

\(u'(x) + \frac{1}{x}u(x) = 0\)

This is a first-order linear homogeneous differential equation, which can be solved using an integrating factor. The integrating factor is given by:

IF(x) = \(e^{\int \frac{1}{x} dx} = e^{\ln|x|} = |x|\)

Multiplying the entire equation by the integrating factor, we obtain:

|x|u'(x) + u(x) = 0

This equation can be rewritten as:

\(\frac{d}{dx}(|x|u(x)) = 0\)

Integrating both sides with respect to x, we get:

|x|u(x) = C

Solving for u(x), we have:

\(u(x) = \frac{C}{|x|}\)

integrating u(x) with respect to x, we find v(x):

\(v(x) = \int \frac{C}{|x|} dx = C \ln|x| + D\)

Therefore, the second solution y₂(x) is given by:

\(y₂(x) = v(x) * y₁(x) = (C \ln|x| + D) * x^5\)

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Answer:

Over 2 up 4

Step-by-step explanation: I just learned this so I am not a pro but, 5 would be X for A, So to the right, down 2, 3 right for B, down 6

Answer:

y = x + 1.

Step-by-step explanation:

A 95% confidence interval with a 4% margin of error suggests that your statistic will be 95% of the time within 4 percentage points of the true population value.

A survey, may reveal that the 98% confidence interval is between 4.88 and 5.26. So, if the poll is repeated using the same methods, the true population parameter (parameter vs. statistic) will fall 98% of the time within the interval estimates (i.e. between 4.88 and 5.26).

The formal definition, on the other hand, includes a little more information. The margin of error in a confidence interval is defined as the range of values below and above the sample statistic. The confidence interval is a tool for demonstrating the level of uncertainty associated with a certain statistic (i.e. from a poll or survey).

In 2012, a Gallup poll (incorrectly) predicted that Romney would win the election, with Romney polling at 49% and Obama polling at 48%. The declared level of confidence was 95%, with a margin of error of 2. We can conclude that the results were computed to be 95% accurate within 2 percentage points.

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Answer:

9

Step-by-step explanation:

Answer: YE

Step-by-step explanation:

TOTALLY

Answer:

10

Step-by-step explanation:

x x y

5x2

10

The values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.

To find ∂z/∂r and ∂z/∂s, we need to differentiate z = F(u, v, w) with respect to r and s.
Given that u = r^2, v = -2s^2, and w = ln(r) + ln(s), we can substitute these values into z = F(u, v, w).
So, z = F(r^2, -2s^2, ln(r) + ln(s)).
To find ∂z/∂r, we differentiate z with respect to r while treating s as a constant. This gives us:
∂z/∂r = ∂F/∂u * ∂u/∂r + ∂F/∂w * ∂w/∂r.
Similarly, to find ∂z/∂s, we differentiate z with respect to s while treating r as a constant. This gives us:
∂z/∂s = ∂F/∂v * ∂v/∂s + ∂F/∂w * ∂w/∂s.
Since we don't have the specific function F(u, v, w) mentioned in the question, we cannot determine the values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.

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A(n) exponent is a symbol or number that indicates the power to which a base is raised.

In mathematics, exponents are used to represent repeated multiplication. The base is the number that is being multiplied, and the exponent tells us how many times the base should be multiplied by itself.

For example, in the expression 2³, the base is 2, and the exponent is 3. This means that 2 is multiplied by itself three times: 2 * 2 * 2, which equals 8.

Exponents allow us to efficiently represent and calculate large numbers or repeated operations. They also play a crucial role in algebra and calculus, where they help in simplifying expressions, solving equations, and describing exponential growth or decay.

In summary, exponents provide a concise and powerful notation for expressing repeated multiplication, enabling efficient calculations and facilitating mathematical operations in various branches of mathematics.

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a)  False - The consequent (2 + 2 = 5) does not hold true when the condition (1 + 1 = 2) is satisfied.

b)  False - Neither the condition (1 + 1 = 3) nor the consequent (2 + 2 = 4) is true.

c)  False - The consequent (2 + 2 = 5) does not follow when the condition (1 + 1 = 3) is met.

d)  True - Since the condition (monkeys can fly) is false, the statement (1 + 1 = 3) holds true due to the structure of the conditional statement.

In the given conditional statements, we need to determine whether each statement is true or false based on the provided conditions.

a) If 1 + 1 = 2, then 2 + 2 = 5. This statement is false because the initial condition (1 + 1 = 2) is true, but the consequent (2 + 2 = 5) is false. In mathematics, if the condition is true, the consequent should also be true, but in this case, it is not.

b) If 1 + 1 = 3, then 2 + 2 = 4. This statement is false because both the condition (1 + 1 = 3) and the consequent (2 + 2 = 4) are false. The initial condition is not satisfied, so the statement cannot be true.

c) If 1 + 1 = 3, then 2 + 2 = 5. This statement is false for the same reason as statement a) - the initial condition is true, but the consequent is false.

d) If monkeys can fly, then 1 + 1 = 3. This statement is true because it follows the structure of a conditional statement where the condition (monkeys can fly) is false, and therefore the statement is always true.

In summary, statement a), b), and c) are false, while statement d) is true.

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Answer: 67

Step-by-step explanation:

We see a pattern where we multiply the number we added by previously by two.

For example, from 5 to 7, it is 2.

From 7 to 11, we add by 4.

From 11 to 19, we add by 8.

From 19 to 35, we add by 16.

This means the next number would be 32, adding 35 by 32 gives us 67,

Hence, there is a 28.22 degree depression from the owl to the mouse as the inverse tangent of the two sides.

An angle is a geometric shape made up of two rays or lines that share a termination known as the vertex. A whole circle has 360 degrees, which is how angles are typically measured. Angles can be acute (less than 90 degrees), right (exactly 90 degrees), obtuse (more than 90 degrees but less than 180 degrees), straight (exactly 180 degrees), reflex, or compound (any combination of these) (greater than 180 degrees but less than 360 degrees). Calculus, geometry, trigonometry, and other branches of mathematics all make use of angles.

given

To resolve this issue, we can make use of the tangent function. Let x be the depression angle between the owl and the mouse. Next, we have:

Tangent(x) = adjacent/opposite

where the distance between the owl and the mouse is on the adjacent side and the opposite side is the height of the owl above the field (42 m) (78 m).

Tangent(x) equals 42/78

When we take the inverse tangent of the two sides, we obtain:

x = (42/78) arctan

Calculating the answer, we discover:

28.22 degrees x

Hence, there is a 28.22 degree depression from the owl to the mouse as the inverse tangent of the two sides.

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Answer:

Step-by-step explanation:

Pythagorean Theorem:  a² + b² = h²

1)

5² + 12² = h²

h = √169

h = 13

2)

a² + 12² = 15²

a² = 15² - 12²

a = √81

a = 9

Square

_________________

The coordinates of the vector v are (x, y) = (7, 3). (Correct choice: C)

The picture shows a vector u, that is, (x, y) = (21, 9) and we need to find the resultant of multiplying that vector by a scalar, which is equal to 3. By mutiplying a vector by a scalar:

u = k · v

Where k is the scalar multiple.

If we know that u = (21, 9) and k = 3

(21, 9) = 3 · (x, y)

(21, 9) = (3 · x, 3 · y)

(x, y) = (7, 3)

The coordinates of the vector v are (x, y) = (7, 3). (Correct choice: C)

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Total diver's elevation is  113.15 feet

Given that;

Average rate of descending = 36.5 feet per minute

Total time taken = 3.1 minutes

Find:

Total diver's elevation

Computation:

Total diver's elevation = Average rate of descending × Total time taken

Total diver's elevation = 36.5 × 3.1

Total diver's elevation =  113.15 feet

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Answer:

The one above me is wrong don't use that one

Step-by-step explanation:

The correct answer is -113.15 I took the quiz

I'm also in k12                  q(≧▽≦q)

By some estimates 80-90 percent of employee learning occurs via on the job training.

This is the term that is used to refer to the training that people would receive based on the fact that it is preparing them to have the competent skills that are useful for a particular job. It is one of the ways that employers help to get their employees ready for the task at hand.

It has been reported from available data that on the job training is a great component of employee learning.

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Answer:

x ÷ 6 = -36 ÷ 6

x ÷ 6 = -6

Madison figures out the average and range of chloride readings from wells close to the ocean. Other than a query, she has carried out an operation. The answer id option (d).

The standard deviation is a measure of variance from the mean that takes spread, dispersion, and dispersion into account. The standard deviation displays a "typical" divergence from the mean. It is a well-liked measure of variability since it retains the primary units of measurement from the data set.  A minor variation occurs when the numbers are close to the mean, while a high variation occurs when they are far from the mean.

The standard deviation describes the degree to which the results deviate from the mean. The average deviation, which depends on all values, is the most often used metric for measuring dispersion. Consequently, the standard deviation's value can be altered even by a slight change in one value.

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Answer:

The correct option is;

E) The average wait time to make payment and the number of cashiers working in a store

Step-by-step explanation:

An inversely proportional relationship is a relationship between two variables one where the increase in the magnitude one variable leads to the reduction in the magnitude of a second variable written mathematically as follows;

y ∝ 1/x

Therefore, given that as the number of cashiers at a store increases, the number of customers attended to per unit time by all the cashiers together increases, and the number of wait time observed by a customer to pay for the goods bought decreases.

Answer:

B.) The total number of stores visited and the average time spent in each store

E.) The average wait time to make a purchase and the number of cashiers working in a store

Step-by-step explanation:

It is correct I just took the test :)