A line passes through point (6, -6) and has a slope of -4/3

Write an equation in Ax+By=C form for this line.
Use integers for A, B, and C.
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There are 20 ways to select president, 19 ways to select vice-president, 18 ways to select treasurer.

In this case, the task is to select a president, a vice-president, and a treasurer from the math club, and no member can hold more than one office. There are 20 choices for the president, since there are 20 members in the club and each member is eligible to be president. There are then 19 choices for the vice-president, since the president cannot also be the vice-president. Finally, there are 18 choices for the treasurer, since the president and vice-president cannot also be the treasurer.

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Based on the information in the graph, it can be inferred that the percentage that you forgot to write down (Thursday percentage) corresponds to the number: 35%

To find the missing percentage we must carefully analyze all the information in the table. In this case, all the percentages are proportional, so we could infer that a rule of three would be the most effective way to find the missing percentage.

To perform the rule of three we must use two of the data already shown in the table. For example, the first data:

If 11 defective containers represent 27.5%, what percentage does 14 containers represent?

In accordance with the above, we can infer that 14 defective containers represent 35%. So the correct answer is C.

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The correct answer is A.\(\((5 \frac{1}{\overline{9}}) \times (-0.\overline{3})\)\), as it involves the multiplication of two rational numbers, resulting in a rational number.

Therefore, the product of these two rational numbers in option A will yield a rational number.

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h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

If the original price of the radio is 2,400 Naira and it is reduced by one third, then the discounted price is 1,600 Naira.

A store usually provides discount of some items to attract more customers and make greater sales.

Suppose the original price is p, the discount rate is d%, and the discounted price is q, then the discounted price can be calculated as:

q = (1 - d%) x p

Parameters given in the problem:

p = 2,400 Naira

d = 1/3

Hence,

q = (1 - 1/3) x 2400

q = 2/3 x 2400 = 1600

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The value of the image of  (-8,6) after reflection over the line y =−x is (-6, 8)

What value will the image of (-8,6) have reflection over the line y=−x?

Generally, the image of any line (x,y) after reflection in line y = -x will have the values x = -y and y = -x.

Since (-8, 6)has  x = -8 and y = 6. Therefore the image of (-8,6) will have:

x = -(6) = -6  and y = -(-8) = 8

Therefore, the image of (-8,6) after a reflection over the line y=−x will be (-6, 8).

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Answer:

c,Describe and design a completely randomized design for Nicole's experiment

Complete Question

Use a ratio box to solve this problem the ratio of new pens to used pens was 4 to 7 in all there were 242 pens, how many new pens were in the box?

Answer:

88 new pens

Step-by-step explanation:

The ratio of new pens : Old pens = 4:7

Sum of Proportion = 4 + 7 = 11

Total number of pens = 242 pens

The number of new pens is calculated as:

4/11 × 242 pens

= 88 new pens

Therefore, the number of new pens = 88 new pens

Answer:

8

Step-by-step explanation:

\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)

Given:

\(\implies \sf P(convertible)=\dfrac{4}{34}=\dfrac{2}{17}\)

To find the expected number of convertibles from the first 68 vehicles:

\(\begin{aligned}\implies \sf P(convertible) \times 68 & =\sf\dfrac{2}{17} \times 68\\\\ & = \sf8\end{aligned}\)

Answer:

30 other vehicles + 4 convertibles = 34 cars

34 * 2 = 68

30 * 2 other vehicles + 4 * 2 convertibles = 68 cars

60 other vehicles and 8 convertibles

hope it helps you

The possible coordinates of point​ A is: (-7, -4)

The formula for the distance between two coordinates is:

D = √[(y₂ - y₁)² + (x₂ - x₁)²]

We are given:

(x₂, y₂) = (1, 2)

(x₁, y₁) = (-7, y₁)

Thus, if AB = 10, then we have:

√[(2 - y₁)² + (-7 - 1)²] = 10

(2 - y₁)² + 64 = 100

(2 - y₁)² = 100 - 64

(2 - y₁)² = 36

(2 - y₁) = √36

2 - y₁ = 6

2 - 6 = y₁

y₁ = -4

Thus, the coordinate of point A is: (-7, -4)

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Answer:

x=2.2

Step-by-step explanation:

You know that for triangle ABC, side AB=10, CB=2 and AD=AB+BD=10+1=11. Given that triangles ABC and AED have the same angles, they are similar triangles.

So we can use the following ratios to solve for ED=x:

The charge distribution is given by a constant charge density ρ = ε₀K(2x, 2x, 0).

To determine the charge distribution given the electric field E(r) = ε₀K(x² + y² + a², x² + y² + a², 0), we can apply Gauss's law and the relationship between electric field and charge density.

Gauss's law states that the divergence of the electric field (∇ · E) is equal to the charge density (ρ) divided by the permittivity of free space (ε₀).

In this case, since the electric field E(r) is given, we can calculate the divergence ∇ · E by taking the partial derivatives of each component of E with respect to their corresponding variables:

∂Eₓ/∂x = ε₀K(2x, 2x, 0)

∂Eᵧ/∂y = ε₀K(2y, 2y, 0)

∂Ez/∂z = 0

Now, equating each component of the divergence to the charge density ρ:

∂Eₓ/∂x = ε₀K(2x, 2x, 0) = ρ

∂Eᵧ/∂y = ε₀K(2y, 2y, 0) = ρ

∂Ez/∂z = 0

From these equations, we can see that the charge density ρ is constant and equal to ε₀K(2x, 2x, 0) or ε₀K(2y, 2y, 0) in each direction.

Therefore, the charge distribution is given by a constant charge density ρ = ε₀K(2x, 2x, 0) or ρ = ε₀K(2y, 2y, 0) depending on the direction.

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Answer:

n = 8

Step-by-step explanation:

These are a case of vertical angles, in which the opposite angles are congruent.

7n - 2 = 6n + 6
7n - 6n = 6 + 2
n = 8

Answer:

a) 6 hours

b) 12 hours

c) 36 hours

Step-by-step explanation:

let hours taken to mow lawns = x

baby sit hours = 2x

walk dogs hours = 3(2x) = 6x

x+2x+6x = 54

thus, x = 6

Answer:

k is 23876

Step-by-step explanation:

you have to multiply 254 and 94 by eachothe then that's your answer!

Answer: 18

Step-by-step explanation:   it is the smallest one in both tables.

1x6=6 2x6=12 3x6=18

1x9=9 2x9=18

hope this helped

The seventh term of the geometric sequence is -7/32. The nth term of the sequence, a1 is the first term, r is the common ratio, and n is the position of the term

To find the seventh term of a geometric sequence, we can use the formula:

\(an = a1 * r^(n-1),\)

where an represents the nth term of the sequence, a1 is the first term, r is the common ratio, and n is the position of the term we want to find.

In this case, we are given a2 = -7 and r = 1/2.

Using the formula, we can find a1 by substituting n = 2:

a2 = a1 * (1/2)^(2-1).

We know that a2 = -7, so we can rewrite the equation:

-7 = a1 * (1/2)^1,

-7 = a1 * (1/2).

Now, let's solve for a1:

a1 = -7 * (2/1),

a1 = -14.

We have found that the first term, a1, is equal to -14.

Now, we can find the seventh term, a7, by substituting n = 7 into the formula:

a7 = (-14) * (1/2)^(7-1),

a7 = (-14) * (1/2)^6,

a7 = (-14) * (1/64),

a7 = -14/64,

a7 = -7/32.

Therefore, the seventh term of the geometric sequence is -7/32.

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The value of k in the equations is 2/3

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

y = 9kx - 1

kx + 4y = 12

This can be expressed as

y = 9kx - 1

y = -kx/4 + 3

The slopes of perpendicular lines are opposite reciprocal

This means that

9k * -k/4 = -1

So, we have

k^2 = 4/9

Evaluate

k = 2/3

Hence, the value of k is 2/3

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You can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

To calculate the probability P(1 < z < 2) for a standard normal random variable, we can use the cumulative distribution function (CDF) of the standard normal distribution.

The CDF gives us the probability that a standard normal random variable is less than or equal to a given value. We can use this information to calculate the probability between two values.

Let's denote the CDF of the standard normal distribution as Φ(z). The probability P(1 < z < 2) can be calculated as follows:

P(1 < z < 2) = Φ(2) - Φ(1)

To calculate this, we need to look up the values of Φ(2) and Φ(1) from a standard normal distribution table or use a calculator/computer software. However, since I don't have access to real-time computations in this environment, I am unable to provide the exact numerical value.

But you can use statistical software or online calculators to find the precise value. Alternatively, you can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

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Answer: √177

Step-by-step explanation:

6²+9²=c²

36+81=c²

117=c²

√117=√c²

√177 = c

(√177 can also be watered down to ±3√13 but √177 is one of the answer choices so yeah)

By direct evaluation we conclude that the point (x, y) = (1, - 2) lies on the graph of the quadratic equation h(x) = - 2 · x². (Correct choice: C)

In this problem we have three ordered pairs to be checked on a given function by direct evaluation, a ordered pair lines on the curve of function if and only if the x-value of the ordered pair leads to the y-value by evaluating in the function. Now we proceed to evaluate each of the three points at the function presented in the statement:

(x, y) = (1, 4)

h(1) = - 2 · 1²

h(1) = - 2

By direct evaluation we conclude that the point (x, y) = (1, - 2) lies on the graph of the quadratic equation h(x) = - 2 · x². (Correct choice: C)

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Answer:

27/238 = n/100

Step-by-step explanation:

The length of w is 33.8 inches.

What is Sines law?

The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides. It is also known as the sine rule.

What are opposite angles ?

If two lines intersect and make an angle, say X=45°, then its opposite angle is also equal to 45°. And the angle adjacent to angle X will be equal to 180 – 45 = 135°. When two lines meet at a point in a plane, they are known as intersecting lines.

This is a law of sines problem since the triangle that contains side WY has all the angle measures & one of side measures.

a/sin a = b/sin b

7.3/sin 39 = YW/sin 8

YW = 7.3sin 8/sin 39 = 33.8

Hence , the length of w is 33.8 inches.

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Answer:

0.02 inches per minute

Step-by-step explanation:

1 Week = 10080 minutes

Formaul: multiply the time value by 10080  to find the minutes in a week or do it the long way 60x24x7 = 10080

230/10080 = 0.02281746031 or 0.02 rounded to nearest hundert.

To demonstrate the given situation, the type of chart(s) that is best to use is both an x-bar chart and an R-chart.

An x-bar chart is a statistical process control chart used to monitor the mean of a continuous data set over time. The chart plots the average (x-bar) of each subgroup of data points, rather than plotting individual data points, and provides information about process stability and control. The x-bar chart is often used in conjunction with an R-chart.

An R-chart (Range chart) is a type of statistical process control chart that is used to monitor the variability of a process by plotting the range (difference between the maximum and minimum values) of a subgroup of samples at different time periods. The R-chart provides a measure of process variability and helps detect changes in variability, which may indicate a change in the underlying process mean. The R-chart is typically used in conjunction with an X-bar chart, which monitors the process mean, to provide a comprehensive view of process performance.

The question seems incomplete, it must have been...

"Jars of pickles are sampled and weighed. Sample measures are plotted on control charts. The ideal weight should be precisely 11 oz. Which type of chart(s) would you recommend?

-both an x-bar chart and an R-chart

-p-chart

-an x-bar chart, but not an R-chart

-c-chart

-both a p-chart and a c-chart"

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Answer:

vertex is (6, -11)

Step-by-step explanation:

Given equation
f(x) = x² - 12x + 25

is that of an upward-facing parabola(since the coefficient of x² is positive).

The vertex will be at a minimum and its x-coordinate can be found by finding the first derivative of f(x), setting it equal to zero and solving for x

f'(x) = d/dx(x² - 12x + 25)

= 2x - 12

f'(x) = 0 ==> 2x - 12 = 0

2x = 12

x = 6

Substitute x = 6 in f(x) to get

f(6) = 6² - 12(6) + 25

= 36 - 72 + 25

= -11

So the vertex is at (6, -11)

The correct simplification of (4x - 3)(3x^2 - 4x - 3) is 12x^3 - 25x^2 + 9.To simplify the expression (4x - 3)(3x^2 - 4x - 3), we need to multiply the two binomials together using the distributive property.

To simplify the expression, we will multiply each term in the first binomial (4x - 3) by each term in the second binomial (3x^2 - 4x - 3) and combine like terms.

Multiply the first term of the first binomial (4x) by each term in the second binomial:

4x * 3x^2 = 12x^3

4x * (-4x) = -16x^2

4x * (-3) = -12x

Multiply the second term of the first binomial (-3) by each term in the second binomial:

-3 * 3x^2 = -9x^2

-3 * (-4x) = 12x

-3 * (-3) = 9

Combine the like terms obtained from the multiplications:

12x^3 - 16x^2 - 12x - 9x^2 + 12x + 9

Simplify further by combining like terms:

12x^3 - 25x^2 + 9

Therefore, the correct simplification of (4x - 3)(3x^2 - 4x - 3) is 12x^3 - 25x^2 + 9.

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Answer:

the answer is 86ft

Step-by-step explanation:

The height of the kite above the ground is 86 feet.

Trigonometric ratio is used to show the relationship between the sides of a triangle and its angles.

Let h represent the height of the kite. Hence, using trigonometric ratios:

sin(36) = h / 140

h = 82.28 feet

Kite height above ground = 3.75 + 82.28 = 86 feet

Therefore the height of the kite above the ground is 86 feet.

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Answer:

1) -2

2) 8/7

Step-by-step explanation:

1) 10x+8=3(x-2)

  10x+8=3x-6

  10x-3x=-6-8

  7x=-14

  x=-2

2) 10x+8=3x

   10x-3x=8

   7x=8

   x=8/7

Hope it helps