Which of the following describes the graph of y 3 -3 in a coordinate plane?

First, by solving for y, convert the equation of the given line into slope-intercept form y=mx+c .You obtain the slope of the equation as m. Since the slopes of perpendicular lines are negative reciprocal, the slope of the line we're looking is the negative reciprocal of the perpendicular equation.

By entering the supplied point into the formula y = mx + b and solving for b, we arrive at the value of b. Consequently, the line's equation is formed.

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively.

m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

A line's slope often indicates the steepness and direction of the line.

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m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line may be shown as

tan θ = Δy/Δx

Answer:

-2 1/4, -1 1/4, 3/4, abs val 1 1/4, abs val -1 3/4, abs val - 2 1/4

Step-by-step explanation:

When you factor in the abs val, which look like a number stuck between two lines, you measure the distance of the number from zero which is ALWAYS POSITIVE. Therefore, change all the numbers inside abs val signs into positive numbers of the same value, for example abs val -1 3/4 would become 1 3/4 and arrange them from least to greatest.

Answer:

102 beads will be used for each necklace.

Step-by-step explanation:

3,264/32=102

The description that most accurate for a Zero-Based Budget is:

b. You put every dollar of your take-home pay into a budget category each month.

A zero-based budget is a budgeting method in which your total income minus your total expenses equals zero. This means that every dollar of your income is assigned a specific purpose, either to be saved or spent on specific expenses. The goal of this method is to ensure that you have accounted for all of your income and that you do not have any leftover funds that are not allocated to a specific purpose. In this sense, option b, "You put every dollar of your take-home pay into a budget category each month" is the most accurate description of a zero-based budget.

A zero-based budget can be applied to any source of income, whether it be a salary, freelance work, rental income, or any other type of income. The key is to allocate every dollar of that income to a specific purpose, such as savings, expenses, or investments, to ensure that all of the income is accounted for. This budgeting method can help individuals and households to better manage their finances by ensuring that they are not overspending and that they have a plan for all of their income.

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Answer:

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

Step-by-step explanation:

y = a (x-x1) * (x-x2) * (x-x3) * ... (x-xn)

x 1 to n represents the roots

the standard error of the distribution is 0.0479 (rounded to four decimal places).

Given that the true proportion of voters in the county who support a restaurant tax is 0.38, and we want to consider the sampling distribution for the proportion of supporters with a sample size of n = 102.

The mean of the sampling distribution is equal to the true proportion, which is 0.38.

The standard error of the sampling distribution is given by the formula:

Standard error = \(\sqrt{ [(p * (1-p)) / n]}\)

where p is the true proportion, and n is the sample size.

Plugging in the values, we get:

Standard error = \(\sqrt{[(0.38 * (1-0.38)) / 102]}\)

= \(\sqrt{[(0.38 * 0.62) / 102]}\)

= \(\sqrt{ [0.002296]}\)

= 0.0479 (rounded to four decimal places)

Therefore, the standard error of the distribution is 0.0479 (rounded to four decimal places).

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68 – 0. 2 = T and 0. 2(68) = T equation can be written to model this scenario. The correct options are A and C.

The equation 68 – 0.2(68) = T is correct since it represents the total cost after the 20% discount is applied.

The equation 68 – 0.2 = T is not correct since it does not correctly calculate the total cost after the discount.

The equation 68 – 20 = T is not correct since it subtracts the discount amount from the original price, which would give the discounted price before the discount, not the total cost after the discount.

The equation 0.8(68) = T is not correct since it calculates the discounted price, not the total cost after the discount.

Therefore the correct options are a and c.

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Answer:

-1048

Step-by-step explanation:

Use the formula

\(a_{n} = a_{1} + (n - 1)d\)

d = -14 - (-3) = -25 - (-14) = -11

In your problem, the first term is -3, n = 96, d = -11

\(a_{96} = -3 + (96 - 1)(-11)\\ = - 3 + 95(-11)\\ = -3 - 1045\\ = -1048\)

The finance charge for this card over the 1 month period is $1.99.

Although interest rate and annual percentage rate (APR) are frequently used synonymously, there is a little distinction between the two. The amount of interest charged on a loan or credit card debt, stated as a percentage of the amount borrowed, is known as the interest rate. On the other hand, the APR takes into account not just the interest rate but also any other fees or costs related to the credit card or loan, such as yearly fees or balance transfer fees. This implies that because the APR accounts for the overall cost of borrowing over a year, it is typically larger than the interest rate.

Given the balance for several days, we need to first determine the average daily balance as:

(200 x 3) + (300 x 17) + (150 x 10) = 6,900

6900/30 = 230

The average daily balance is $230.

The financial charge is:

Financial charge = average daily balance (Interest)

Financial charge = 230 x 0.105 ÷ 12 = $1.99

Hence, the finance charge for this card over the 1 month period is $1.99.

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Answer:

Step-by-step explanation:

g is a central angle for arc PQ

= 2 * segment angle of arc PQ

= 2 * <PRQ

= 2 * (180 - 114)

= 2 * 66

= 132 degree

Drawing is a little confusing about f and assuming f is <PQO

<PQO = <QPO because OPQ is an isosceles triangle

The sum of interior angles of a triangle = 180 degree

f + f + g = 180

2f = 180 - 132 = 48

f = 24 degree

Edit: Thank you, fieryanswererft, for pointing out my mistake!

Answer:

g = 132° , f = 24°

Step-by-step explanation:

∠ PRQ = 180° - 114° = 66°

the central angle g is twice the angle subtended at the circumference on the same arc PQ , then

g = 2 × ∠ PRQ = 2 × 66 = 132°

Δ POQ is isosceles , 2 congruent sides , the radii OP and OQ

The base angles of the triangle are congruent , then

f = \(\frac{180-132}{2}\) = \(\frac{48}{2}\) = 24°

The general solution to the given differential equation is

y = ± √(1 / (2ln|t| + 4/t - C2))

To solve the given differential equation, we can use the method of separable variables. Let's go through the steps:

Rearrange the equation to separate the variables:

t^2y' + 2ty - y^3 = 0

Divide both sides of the equation by t^2:

y' + (2y/t) - (y^3/t^2) = 0

Now, we can rewrite the equation as:

y' + (2y/t) = (y^3/t^2)

Separate the variables by moving the y-related terms to one side and the t-related terms to the other side:

(1/y^3)dy = (1/t - 2/t^2)dt

Integrate both sides of the equation:

∫(1/y^3)dy = ∫(1/t - 2/t^2)dt

To integrate the left side, let's use a substitution. Let u = y^(-2), then du = -2y^(-3)dy.

-1/2 ∫du = ∫(1/t - 2/t^2)dt

-1/2 u = ln|t| + 2/t + C1

-1/2 (y^(-2)) = ln|t| + 2/t + C1

Multiply through by -2:

y^(-2) = -2ln|t| - 4/t + C2

Now, take the reciprocal of both sides to solve for y:

y^2 = (-1) / (-2ln|t| - 4/t + C2)

y^2 = 1 / (2ln|t| + 4/t - C2)

Finally, taking the square root:

y = ± √(1 / (2ln|t| + 4/t - C2))

Therefore, the general solution to the given differential equation is:

y = ± √(1 / (2ln|t| + 4/t - C2))

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Answer:

8 inches from beginning to end

Step-by-step explanation:

8 inches because 1 times 8 is 8

Answer:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in  0 for x and solve for y.

x-intercept(s): ( 2,0 ), ( 1,0 ) (2,0), (1,0)

y-intercept(s): ( 0, − 10 )

The lengths of the missing sides are;

sin 30 = a/2

cos 30 = b/2

First, we have to know that the different trigonometric identities are listed as;

The ratio of the identities are;

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

We have from the diagram shown that;

2 is the hypotenuse side

Let the opposite side of 30 degrees be a

Let the adjacent side of 30 degrees be b

Then, we have that;

sin 30 = a/2

cos 30 = b/2

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Answer:

m=3/5

step by step example:

 1.from both sides of the equation

10+6=12

10m+6=1210m+6=12

10+6−6=12−6

2

Simplify

Subtract the numbers

Subtract the numbers

10=6

3

Divide both sides of the equation by the same term

10=6

10m=610m=6

1010=610

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=35

Answer:

3x - 6

Step-by-step explanation:

I think it's 880,000 as 12 percent of 1 million is 120000 and 1 million-120000 is 880,000

Step-by-step explanation:

MP=$ 1million

Discount%=12%

Then,

SP=MP-dis% of MP

=1 - 12% ×1

=0.88

Hence, Sp is $0.88million

Answer:

The total amount of water Andre brought for the hike was, 3.0 liters.

Step-by-step explanation:

Let the total amount of water Andre brought for the hike be denoted by, x.

It is provided that he drank 1.5 liters of the water during the first part of the hike.

Also, this 1.5 liters of the water is 50% of the water he brought, i.e.

\(1.5\ \text{lt}=50\%\ \text{of}\ x\)

Compute the value of x as follows:

\(1.5\ \text{lt}=50\%\ \text{of}\ x\)

     \(x=\frac{1.5}{50\%}\)

        \(=\frac{1.5}{50}\times 100\\\\=1.5\times 2\\\\=3.0\)

The total amount of water Andre brought for the hike was, 3.0 liters.

Answer:

f(x) = -2x\(3\) - 3, gx= 4x - 3

Step-by-step explanation:

The probability associated with obtaining a particular value of z is referred to as its statistical probability or simply its probability. It represents the likelihood of observing a specific value of z in a given statistical distribution.

The probability of a specific value of z can be calculated using various statistical methods, depending on the distribution being considered. In statistics, z represents a standard score or a z-score. It is a measure of how many standard deviations a particular value is away from the mean of a distribution. The probability associated with a specific value of z is determined by the characteristics of the distribution, such as its shape, mean, and standard deviation. Different distributions, such as the normal distribution or the t-distribution, have different methods for calculating probabilities associated with specific values of z.

The probability associated with a particular value of z can be useful in hypothesis testing, confidence interval estimation, or determining the likelihood of an event occurring. By understanding the probability distribution of z-values, statisticians can make informed decisions and draw conclusions based on data analysis.

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Answer:

I think the answer is d happy bday

Answer:

-32

Step-by-step explanation:

since 4x+y equals 7, multiply -5 by 7

Answer:

40x - 5y = -40x - 5(4x + y) = -40x - 20x - 5(7) = -60x - 35

Step-by-step explanation:

To find the value of -5(4x+y), we first need to simplify the expression inside the parentheses:

-5(4x + y) = -5(4x) - 5(y) = -20x - 5y

Now, we can substitute the value of y from the given equation:

-20x - 5y = -20x - 5(4x + y) = -20x - 20x - 5y = -40x - 5y

Since we know that 4x + y = 7, we can substitute this into the above equation:

-40x - 5y = -40x - 5(4x + y) = -40x - 20x - 5(7) = -60x - 35

The transformation of System A into System B is:

Equation [A2]+ Equation [A 1] → Equation [B 1]"

The correct answer choice is option D

How can we transform System A into System B?

To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

System A:

-3x + 4y = -23 [A1]

7x - 2y = -5 [A2]

Multiply equation [A2] by 2

14x - 4y = -10

Add the equation to equation [A1]

14x - 4y = -10

-3x + 4y = -23 [A1]

11x = -33 [B1]

Multiply equation [A2] by 1

7x - 2y = -5 ....[B2]

So therefore, it can be deduced from the step-by-step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

The complete image is attached.

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When every length in the cylinder is decreased by 60%, the volume of the cylinder decreases by approximately 85.6%.

Let's assume the original diameter and height of the cylinder are both represented by "d". The original volume of the cylinder can be calculated as V = π * (d/2)^2 * d.

When every length in the cylinder is decreased by 60%, the new diameter and height become 0.4d (40% of the original value). The new volume of the cylinder can be calculated as V' = π * (0.4d/2)^2 * (0.4d).

To find the percent decrease in volume, we can calculate (V - V') / V * 100.

Substituting the values, we have:

Percent decrease in volume = [(V - V') / V] * 100

Percent decrease in volume = [(π * (d/2)^2 * d - π * (0.4d/2)^2 * (0.4d)) / (π * (d/2)^2 * d)] * 100

Simplifying further, we get:

Percent decrease in volume = [(1 - 0.4^3) / 1] * 100

Evaluating the expression, we find:

Percent decrease in volume ≈ 85.6%

Therefore, the volume of the cylinder decreases by approximately 85.6% when every length is decreased by 60%.

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The logarithmic decrement for the given transient response is approximately 0.39.

To calculate the logarithmic decrement, we need the ratio of the amplitudes at the beginning and end of one cycle. The logarithmic decrement (δ) can be determined using the formula:

δ = (1/n) * ln(A₁/A₂)

Where:

A₁ = Amplitude at the start of the cycle

A₂ = Amplitude at the end of the cycle

n = Number of cycles

In this case, we are examining one cycle, so n = 1. The amplitude at the start is 52 (A₁), and the amplitude at the end of one cycle is 28 (A₂). Plugging these values into the formula, we can calculate the logarithmic decrement:

δ = (1/1) * ln(52/28)

Calculating the logarithm and dividing by 1, we find:

δ ≈ 0.3881

Rounded to two decimal places, the logarithmic decrement is approximately 0.39.

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Answer:

34 degrees

Step-by-step explanation:

add the two known degrees then subtract from 180

Step-by-step explanation:

4 hours = 8 miles

1 hour = 8/4 = 2 miles

5.5 hours (5 hr 30 min) = 2 miles × 5.5

=11 miles