PLEASE ANSWER RN PLSSS Two negative integers are 8 units apart on the number line and have a product of 308. Which equation could be used to determine x, the smaller negative integer? x2 + 8x – 308 = 0 x2 – 8x + 308 = 0 x2 + 8x + 308 = 0 x2 − 8x − 308 = 0

Answer:

20

Step-by-step explanation:

Answer:

23.50

Step-by-step explanation:

23.4571 rounded of to the nearest tenth 23.4+1

Answer: 3, 9, and 9

Step-by-step explanation:

X+3x+3x=217x=21x=33, 9, 9=21

Answer:

Step-by-step explanation:

The relation in the picture is a function

Answer:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

Answer:

at least 1,408 minutes

Step-by-step explanation:

Let m be the number of minutes.

\(17 + .07m \geqslant 115.56\)

\(.07m \geqslant 98.56\)

\(m \geqslant 1408\)

Answer: 11/28

Step-by-step explanation:

Alright so this is just adding fractions:

First, find common denominator:

If it isn't the common denominator is not apparent, you can always find it by multiplying the two numbers together:

So... 4*7=28

Now that the we have the common denominator, we have to change the top value. Whatever we do to the denominator we must do to the numerator:

So in this instance, we multiplied 4 to 7 to get 28, so we must multiply 1 (the numerator) by 7 as well, giving us 7/28.

We must do this to the other fraction, we multiplied 7 by 4 to get 28 so we must do it to the numerator, giving 4/28.

Now just add the numerator only. Its a common mistake to add both the numerator and the denominator, when the denominator should just remain the same:

4+7=11

11/28 or in decimal form: 0.3928

Hello and regards 313samn

The solution to the sum of the fraction 1/4 + 1/7 is 11/28.

1/4 + 1/7

We write each numerator over the lowest common denominator.

We want to expand the fractions to have a common denominator and be able to add them.

(1 × 7)/(4 × 7) + 1/7

(1 × 7)/(4 × 7) + (1 × 4)/(7 × 4) = 7/28 + 4/28

We observe that both fractions have an equal denominator, in this case, we unite and add them.

(7 + 4)/28

11/28

The solution to the sum of the fraction 1/4 + 1/7 is 11/28.

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The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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Given: The base function

To Determine: The transformation that would give the function G(x)

Solution

Let us plot the graph of the base function and the new function as shown below

It can be observed that there exist a reflection across the x-axis, also a vertical stetch by a factor of 4

Hence, the correct answer is a vertical stretch by a factor of 4, followed by a reflection across the x-axis, OPTION A

The amount of money that the farmer will make after the deduction of percentage of service fees would be = $783.75

A contract earning is defined as the amount of money an individual or company earns for a period of time which only lasts till the end of the contract.

FROM the question,

1 acre /year = 0.11 metric tons

50 acre/year = 0.11 × 50

= 5.5 metric tons

For ten years contract = 5.5 × 10 = 55 metric tons

The amount earned per metric ton = $15

Therefore, 55 metric tons = 15×55 = $825

Deductions of service charge;

5% of 825 = 5/100 × 825

= 4125/100

= $41.25

The balance after deduction of service fees = 825 - 41.25 = $783.75

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Answer: 4

Step-by-step explanation:

24 divided by 5 is 20 with a remainder of 4.

24 divided by 5 is with a remainder of 4.

Here, we have,

given that,

divide 24 by 5

so, we have,

24 ÷ 5

using the rules of division we get,

24/5

= 20+4 /5

as we have,

5 | 24 | 4

    20

---------------

      4

so, we get,

24 divided by 5 is with a remainder of 4.

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The trapezoidal rule is a numerical integration method that uses trapezoids to estimate the area under a curve. The trapezoidal rule can be used for both definite and indefinite integrals. The trapezoidal rule approximation, Tn, to the integral sin r dz is given by:

Tn = (b-a)/2n[f(a) + 2f(a+h) + 2f(a+2h) + ... + 2f(b-h) + f(b)]where h = (b-a)/n. To determine how large n should be so that Tn is accurate to within 0.00001, we can use the error bound given in Section 5.9 of the course text. According to the error bound, the error, E, in the trapezoidal rule approximation is given by:E ≤ ((b-a)³/12n²)max|f''(x)|where f''(x) is the second derivative of f(x). For the integral sin r dz, the second derivative is f''(r) = -sin r. Since the absolute value of sin r is less than or equal to 1, we have:max|f''(r)| = 1.

Substituting this value into the error bound equation gives:E ≤ ((b-a)³/12n²)So we want to choose n so that E ≤ 0.00001. Substituting E and the given values into the inequality gives:((b-a)³/12n²) ≤ 0.00001Simplifying this expression gives:n² ≥ ((b-a)³/(0.00001)(12))n² ≥ (b-a)³/0.00012n ≥ √(b-a)³/0.00012Now we just need to substitute the values of a and b into this expression. Since we don't know the upper limit of integration, we can use the fact that sin r is bounded by -1 and 1 to get an upper bound for the integral.

For example, we could use the interval [0, pi/2], which contains one full period of sin r. Then we have:a = 0b = pi/2Plugging in these values gives:n ≥ √(pi/2)³/0.00012n ≥ 5073.31Since n must be an integer, we round up to the nearest integer to get:n = 5074Therefore, we should choose n to be 5074 so that the trapezoidal rule approximation, Tn, to the integral sin r dz is accurate to within 0.00001.

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The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality: x > -9

The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality.

After step 4, which is -2x < 18, we need to divide both sides of the inequality by -2 to solve for x.

However, since we are dividing by a negative number, the direction of the inequality sign needs to be reversed.

Dividing both sides by -2:

-2x / -2 > 18 / -2

This simplifies to:

x > -9

Therefore, the correct answer is x > -9.

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Answer:

same

Step-by-step explanation:

i just know i forgot where i know it

Answer:

\(y=-|x+1|+1\)

Step-by-step explanation:

Parent function:  \(y=|x|\)

Reflect in the x-axis:  \(y=-|x|\)

Translate 1 unit to the left:  \(y=-|x+1|\)

Translate 1 unit up:  \(y=-|x+1|+1\)

Please refer to the attachments to see the individual transformations.

The two equations that represent circles with a diameter of 12 units and a center that lies on the y-axis are:

(x - 4)² + y² = 36

(x + 6)² + y² = 144

(x - 4)² + y² = 36:

This equation represents a circle with center (4, 0) since the x-coordinate of the center is 4, indicating it lies on the y-axis. The radius of this circle is √36 = 6 units. Therefore, it satisfies the given conditions.

(x + 6)² + y² = 144:

This equation represents a circle with center (-6, 0) since the x-coordinate of the center is -6, indicating it lies on the y-axis. The radius of this circle is √144 = 12 units. Hence, it also satisfies the given conditions.

x² + (y - 3)² = 36:

This equation represents a circle with center (0, 3) since the y-coordinate of the center is 3, indicating it does not lie on the y-axis. Therefore, it does not meet the given conditions.

x² + (y + 8)² = 36:

This equation represents a circle with center (0, -8) since the y-coordinate of the center is -8, indicating it does not lie on the y-axis. Thus, it does not fulfill the given conditions.

x² + (y - 5)² = 6:

This equation represents a circle with center (0, 5) since the y-coordinate of the center is 5, indicating it does not lie on the y-axis. Hence, it does not meet the given conditions.

Based on this analysis, the equations that represent circles with a diameter of 12 units and a center that lies on the y-axis are options 1 and 2:

(x - 4)² + y² = 36

(x + 6)² + y² = 144.

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Answer:

Slope is ⅓

Step-by-step explanation:

\({ \tt{slope = \frac{y_{2} - y _{1} }{x _{2} - x_{1}} }} \\ \)

\({ \tt{slope = \frac{0 - ( {}^{ - } 2)}{3 - ( {}^{ - }3) } }} \\ \\ { \tt{slope = \frac{2}{6} }} \\ \\ { \tt{slope = \frac{1}{3} }}\)

Answer:  48

=================================================

Explanation:

The keyword "of" means multiply

150% converts to the decimal form 1.5; you move the decimal point two spots to the left to go from percent form to decimal form

Putting those two facts together lead to...

150% of 32 = 1.5*32 = 48

----------------

Another approach:

x% = x/100

150% = 150/100 = 1.5

150% of 32 = 1.5*32 = 48

The last step is identical as before, but the conversion of 150% is slightly different this time.

------------------

Yet another approach:

100% of anything is itself

So 100% of 32 is 32

The extra 50% means we take half of 32 to get 16. Then we add that onto the 32 to get 16+32 = 48

The dot product of two vectors u and v can be represented using index notation as u_i v_i.

A mathematical language called index notation is used to describe the components of a vector or tensor. It consists of an element's position in the vector or tensor and a symbol, typically a Latin or Greek letter.

A mathematical language called index notation is used to describe the components of a vector or tensor. The element's position in the vector or tensor is indicated by a symbol (often a Latin or Greek letter) with an integer subscript. How to utilise index notation is as follows:

Vectors can be represented by a single letter with a subscript, such as v i, where I stands for the element's position in the vector.

Tensors are multidimensional arrays that can be described using an index notation for each element. For instance, T i,j can be used to represent the element in a matrix's ith row and jth column.

Executing operations: Index notation can be used to express operations like matrix multiplication and the vector dot product. For instance, u_i v_i can be used to denote the dot product of the two vectors u and v.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:
A, III quadrant

Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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Answer:

\(y=\sqrt{10}\)

Step-by-step explanation:

Using the geometric mean theorem, \(y=\sqrt{(2)(5)}=\sqrt{10}\).

A piecewise function is basically a function that behaves differently at different domain intervals.

The given piecewise function is

As you can see, the function has a different expression for the interval x is less than or equal to 3 and a different expression for the interval x is greater than 3.

The easiest way to determine which graph corresponds to the given piecewise function is to evaluate the piecewise function at different values of x and graph it.

Evaluate the piecewise function for the interval x is less than or equal to 3.

Evaluate the piecewise function for the interval x is greater than 3.

Now, let us graph these points

As you can see from the graph, it matches with the graph of the 2nd option.

Therefore, the correct graph of the given piecewise function is the 2nd graph.

Answer:

C

Step-by-step explanation:

The lowest point on the graph on the y-axis is -4

Let P= (-4, -3) and G (-7, 1) be two points on the coordinate plane. Then, we need to calculate the distance between these two points. The distance formula is used to calculate the distance between two points. It is given by: \(`d = √(x₂ - x₁)² + (y₂ - y₁)²`\)

Substituting the given coordinates of the points P and G in the above formula, we get:\(`d = √((-7) - (-4))² + (1 - (-3))²`\)Simplifying the expression inside the square root, we get:\(`d = √(-7 + 4)² + (1 + 3)²``d = √(-3)² + 4²``d = √9 + 16`\)Evaluating the square roots, we get:\(`d = √25`\)

The distance between the points\(P= (-4, -3) and G (-7, 1) is `5`\).Hence, the exact answer (not a decimal approximation) is `5`.Note: The distance formula is derived from the Pythagorean theorem and it is used to calculate the distance between two points in the coordinate plane.

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The intensity of the beam 10 feet below the surface can be calculated using Beer-Lambert's law, which states that the rate of decrease in intensity of light through a transparent medium is proportional to the thickness of the medium. This means that the intensity i of the beam at a depth t below the surface is given by the equation i = i0 * e^(-kt), where i0 is the initial intensity of the incident beam, k is a constant, and e is Euler's number.
For the given scenario, we know that the intensity at a depth of 3 feet is 25% of the initial intensity i0. Substituting the known values into the equation, we can calculate the value of k:
i = i0 * e^(-3k)
0.25i0 = i0 * e^(-3k)
0.25 = e^(-3k)
ln(0.25) = -3k
k = ln(0.25) / -3
k = 0.0451
Therefore, the intensity of the beam 10 feet below the surface can be calculated as follows:
i = i0 * e^(-0.0451 * 10)
i = i0 * e^(-0.451)
i = 0.6139i0

Rounding any constants or coefficients to five decimal places, the intensity of the beam 10 feet below the surface is 0.6139i0.

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could be 17. not sure i´d wait for someone smarter than me to answer.

Answer:

Tom drove 282 miles.

Step-by-step explanation:

x = number of miles driven

220.81 = 14.95 + 0.73x

-14.95       -14.93

205.86 = 0.73x

/0.73        /0.73

282 = x

Hope this helps!

Answer:

C

Step-by-step explanation:

x + 40 + 100 + x=360. (sum of angles at a point)

2x+140=360

2x=360-140

2x=220

x=220/2

x=110⁰

Answer:

46?

Step-by-step explanation: