6(x – 1) = 9(x + 2) what is the answer

The length of the minor axis for the given ellipse is 8 units. Therefore, the correct option is A: 8.

The equation of the ellipse is in the form \(((x - h)^2) / a^2 + ((y - k)^2) / b^2 = 1\) where (h, k) represents the center of the ellipse, a is the length of the semi-major axis, and b is the length of the semi-minor axis.

Comparing the given equation to the standard form, we can determine that the center of the ellipse is (-4, 1), the length of the semi-major axis is 5, and the length of the semi-minor axis is 4.

The length of the minor axis is twice the length of the semi-minor axis, so the length of the minor axis is 2 * 4 = 8.

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According to this research, options B and D appear to be the most slope plausible explanations for the data. However, without the real data, determining which equation is the best model is impossible.

The slope of a line indicates how steep it is. The gradient's mathematical equation is known as "gradient overflow" (the change in y divided by the change in x). The slope is defined as the ratio of the vertical change (rise) between two places to the horizontal change (run). The slope-intercept form of an equation is used to express a straight line's equation, which is written as y = mx + b. The y-intercept is found where the slope of the line is m, b is b, and (0, b). For example, consider the slope and y-intercept of the equation y = 3x - 7.The slope of the line is m. b is b at the y-intercept, and (0, b).  

It is impossible to establish which equation is the best model of the data without the actual data. However, we may analyse each possibility based only on the facts provided:

A. y= 2.2 - (1.1%): This equation appears to contain a constant term and a negative slope, making it unsuitable for predicting plant height over time.

B. y= 0.5x + 1.8: The positive slope of this equation indicates that the plant's height rises with time. The constant term of 1.8 might represent the plant's beginning height, while the coefficient of 0.5 could reflect the plant's growth rate.

C. y= 2.0 • (1.4%): This equation appears to contain a constant term and a positive slope, but the percentage term is not obvious how it links to the data.

D. y = 0.7 x + 2.1: This equation, like option B, has a positive slope and a constant term. The coefficient of 0.7 might reflect the plant's growth rate, while the constant term of 2.1 could represent the plant's original height.

According to this research, options B and D appear to be the most plausible explanations for the data. However, without the real data, determining which equation is the best model is impossible.

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Answer:

It would be the square root of 36.

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

if three or more parallel lines are intersected by two or more transversals, the parallel lines divide the transversals proportionally , that is

\(\frac{3}{x}\) = \(\frac{2.5}{7.5}\) = \(\frac{1}{3}\) ( cross- multiply )

x = 3 × 3 = 9

Answer:

I think it is c because yah

The parallel slope is -1 and perpendicular is 1.

Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

Given that, Slope of a line = -1,

We know that, slope of parallel line are equal and the slope for the perpendicular line are negative reciprocal of each other,

Therefore,

The slope parallel to line = -1

The slope perpendicular to the line = 1

Hence, the parallel slope is -1 and perpendicular is 1.

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the formula for the total number of views (v) the video will have after t days can be expressed as:

\(v = a * e^{kt}\)

Assuming the number of views grows according to an exponential model, the formula for the total number of views (v) the video will have after t days can be expressed as:
\(v = a * e^{kt}\)

where:
a is the initial number of views
k is the growth rate constant
t is the number of days

This formula is based on the assumption that the rate of growth of views is proportional to the number of views already accumulated. Therefore, as the number of views grows, the rate of growth also increases, resulting in an exponential increase in the total number of views.

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Answer:

Range is 53

Step-by-step explanation:

The range is the difference between the maximum and minimum values in a data set.

The minimum value in the data set is 45, and the maximum value is 98.

Therefore, the range is:

98 - 45 = 53

So the answer is 53.

Answer:

Queen Messy here!

0.451

moving the decimals to the left when dividing (:

Step-by-step explanation:

We can see that there are 6 sections and three of them are yellow. So, the theoretical probability of the spinner landing on the yellow section is:

3 ( yellow sections)/ 6 (Total number of sections)

3/6 = 1/2 (Simplifying)

The answer is 1/2.

The degrees of freedom for a chi-square goodness-of-fit test are calculated as the number of categories minus 1.

Suppose we wish to determine if an ordinary-looking six-sided die is fair, or balanced, meaning that each face has a probability of 1/6

of arrival on top when the die is tossed. We could toss the die dozens, maybe hundreds, of times and compare the actual number of times each face arrival on top to the scheduled number, which would be 1/6

of the total number of tosses. We would not expect each number to be exactly 1/6 of the total, but it should be close.

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Answer:

2 Cups

Step-by-step explanation:

For every 1 pint there are 2 cups. So the answer is 2 cups. (please give heart)

Two cups are equal to one pint.

2 pints are equal to 4 cups.

4 pints are equal to 8 cups.

5 pints equal 10 cups.

1 cup is one-half of a pint.

Two cups of liquid or one-eighth of a gallon make up a pint, a unit of volume and measurement. It is a unit that is used in both the British Imperial and US Customary systems of measurement to quantify volume or capacity.

The British Imperial and American customary systems of measurement both use cups as the unit of volume measurement. If we recall, 1 cup equals 8 ounces. 1 pint or 16 ounces in 2 cups Typically, 2 cups equal 1 pint. However, it could differ based on the substance. One pint of blueberries, for instance, equals 12 ounces (dry) or 2 cups, although one pint of sour cream or one pint of ice cream also equals 2 cups.

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Step 1

Given;

Required; To factorize the problem

Step 2

Find the GCF

Hence, we will factorize thus and have;

Applying this we will have;

Therefore, we will now factorize (x²+5x-14) by finding the terms that when added together gives 5x and when multiplied together gives -14x²

Replace 5x with (7x-2x)

Grouping the four terms in twos, that is the first two as a pair and the remaining two as the other pair, we can bring out common terms from each pair. This is shown below:

Therefore, using the factoring method shown in Step 2, we have the expression to be:

Collecting the like terms, we, therefore, have the factorized expression to be:

Therefore the full factorized expression will be;

The answer will therefore be ; (x-3)(x+7)(x-2)

No, it is not safe to assume that the sampling distribution of the sample means is about normal given the sample size.

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In a triangle with vertices A, B, and C, where angle CAB is a right angle, the lengths of sides AB and AC are given. The task is to find the measure of angle ACB, rounded to three significant figures.

In a right-angled triangle, the angle opposite the right angle is always 90 degrees. In this case, angle CAB is a right angle. Therefore, angle ACB is the remaining angle in the triangle that needs to be evaluated.

To find the measure of angle ACB, we can use trigonometric ratios. The most appropriate ratio to use in this case is the tangent ratio, which is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Using the given lengths of sides AB and AC, we can calculate the tangent of angle ACB as:

tan(ACB) = AB / AC

Substituting the values, we have:

tan(ACB) = 10.3 / 5.4

Using a scientific calculator, we can find the value of the tangent and then take the inverse tangent to find the measure of angle ACB.

ACB ≈ arctan(10.3 / 5.4)

Evaluating this expression, we find:

ACB ≈ 63.717 degrees

Rounding to three significant figures, the measure of angle ACB is approximately 63.7 degrees.

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The probability that, in an hour, at least 4 cars will enter the car wash is 0.94.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

Cars enter a car wash according to a Poisson process at a mean rate of 2 cars per half an hour.

Here the value of λ is:

λ = 2 cars/half an hour

λ = 4 cars/hour

The probability that, in an hour, at least 4 cars will enter the car wash:

P(x = 4) = 4⁴e⁻⁴/5

After solving:

P(x = 5) = 0.937 ≈ 0.94

Thus, the probability that, in an hour, at least 4 cars will enter the car wash is 0.94.

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Answer:

x=9.3

Step-by-step explanation:

use SohCahToa

in this case u use cos

cos(41°)=7/x

x=7/cos(41)

x=9.275090953

x=9.3

\(y = 2x {}^{2} - 4x - 16 \\ \delta = b {}^{2} - 4ac \\ \delta = ( - 4) {}^{2} - 4(2)( - 16) \\ \delta = 16 + 128 \\ \delta = 144 > 0 \)

\(x = \frac{ - b + \sqrt{ \delta} }{2a} = \frac{4 + 12}{2 \times 2} = \frac{16}{4} = 4\)

\(x = \frac{ - b - \sqrt{ \delta} }{2a} = \frac{4 - 12}{2 \times 2} \frac{ - 8}{4} = - 2\)

\(x = 4 \: \: \: \: \: or \: \: \: \: x = - 2 \\ (x - 4) = 0 \: \: \: \: \: or \: \: \: \: \: (x + 2) = 0\)

The midpoint rule for estimating a definite integral uses a Riemann sum with subintervals of equal width and the midpoint, or the value at the center, of each subinterval in place of the function values.

The midpoint rule is a method for approximating the value of a definite integral using a Riemann sum. It involves dividing the interval of integration into subintervals of equal width and evaluating the function at the midpoint of each subinterval.

Here's how the midpoint rule works:

Divide the interval of integration [a, b] into n subintervals of equal width, where the width of each subinterval is given by Δx = (b - a) / n.

Find the midpoint of each subinterval. The midpoint of the k-th subinterval, denoted as x_k*, can be calculated using the formula:

x_k* = a + (k - 1/2) * Δx

Evaluate the function at each midpoint to obtain the function values at those points. Let's denote the function as f(x). So, we have:

f(x_k*) for each k = 1, 2, ..., n

Use the midpoint values and the width of the subintervals to calculate the Riemann sum. The Riemann sum using the midpoint rule is given by:

R = Δx * (f(x_1*) + f(x_2*) + ... + f(x_n*))

The value of R represents an approximation of the definite integral of the function over the interval [a, b].

The midpoint rule provides an estimate of the definite integral by using the midpoints of each subinterval instead of the function values at the endpoints of the subintervals, as done in other Riemann sum methods. This approach can yield more accurate results, especially for functions that exhibit significant variations within each subinterval.

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Answer:

OPTION D, IS THE CORRECT ANSWER IN BOTH

Answer:

Town C

Step-by-step explanation:

The length of one side of the sandbox is 7y4 - 13x3 inches. To find the length of one side of a regular pentagon, we divide the perimeter by the number of sides (pentagon has 5 sides).

The given perimeter is 35y4 - 65x3 inches. So, the length of one side is (35y4 - 65x3) / 5 = 7y4 - 13x3 inches. In a regular pentagon, all sides are equal in length, and the sum of all interior angles is 540 degrees. However, this information is not needed to determine the length of one side in this specific problem.

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QUESTION:

Joan is building a sandbox in the shape of a regular pentagon. The perimeter of the pentagon is 35y4 – 65x3 inches. What is the length of one side of the sandbox?

5y – 9 inches

5\(y^{4}\) – 9\(x^{3}\) inches

7y – 13 inches

7\(y^{4}\) – 13\(x^{3}\) inches

Answer:

5/28

Step-by-step explanation:

P(oj, then grape) = 2/8 x 5/7 = 10/56 = 5/28

The probability of pulling out a bottle of orange juice and then a bottle of grape juice is 5/28.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

An ice chest contains 2 bottles of orange juice, 5 bottles of grape juice, and 1 bottle of apple juice, all buried in ice.

The probability of pulling out a bottle of orange juice and then a bottle of grape juice is calculated as below:-

Probability = Number of favorable outcomes / Number of sample

P(orange , then grape) = 2/8 x 5/7 = 10/56 = 5/28

Therefore, the probability of pulling out a bottle of orange juice and then a bottle of grape juice is 5/28.

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Answer:

The third answer is correct.

Step-by-step explanation:

You are going to translate the smaller quadrilateral (4 sided figure) to the larger quadrilateral.  Then you need the scale factor from the smaller figure to the larger.  

Side EF times the scale factor will give you side AB.  Let's call the scale factor s then our equation would be:

EF x s = AB  To find s divide both sides by EF

\(\frac{EF(s)}{EF}\) = \(\frac{AB}{EF}\)

s = \(\frac{AB}{EF}\)  This is our scale factor.

Helping in the name of Jesus.

The missing values of time and distance are 2, 7 and 30 respectively.The solution has been obtained by the concept of linear relationship.

What is linear relationship?

In statistics, a straight line of correlation between two variables is referred to as a linear relationship (or linear association).

We are given a table which represents a linear relationship.

In the table, it can be observed that for covering 18 km of distance, 6 minutes are required.

So, for covering 1 km of distance, 1/3 minutes are required

Therefore, for covering 6 km of distance, time required is

6 * 1/3 = 2 minutes

Similarly, for covering 21 km of distance, time required is

21 * 1/3 = 7 minutes

In 6 minutes, 18 km of distance is covered.

So, in 1 minute, the distance covered is 3 km.

Therefore, in 10 minutes, the distance covered is

10 * 3 = 30 km

Hence, the missing values are 2, 7 and 30 respectively.

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As per the median, the set of data that fulfilling Marjane's requirement is 24, 25, 25, 25, 26, 26 (option c).

In statistics, data is a collection of numbers or values that represent a particular phenomenon. One way to measure central tendency, or the typical or representative value of the data, is through the median and the mode.

The median is the middle value when the data is arranged in numerical order, and the mode is the value that appears most frequently.

The third set of data is 24, 25, 25, 25, 26, 26.

The median is the middle value, which is also (25+25)/2 = 25.

The mode is the value that appears most frequently, which is 25.

Therefore, the mode and median are the same, fulfilling Marjane's requirement.

Therefore, the correct option is (c).

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Explanation:

Turn the irrational numbers into decimals, so it is easy to understand and point on the number line graph.

Numbers provided:

√13 = 3.605551275 ≈ 3.61

√17 = 4.123105625 ≈ 4.12

Step by Step Solving:

Plot the points (circled area's):

Given that triangle ABC has a right angle at angle B (m∠B = 90°), the cosine of angle C can be calculated using the adjacent side (AB = 16 units) and the hypotenuse (AC).

Using the cosine function:

cos(C) = AB / AC

Since AB = 16 units, we need to find AC to calculate the cosine of angle C.

Using the Pythagorean theorem:

AC^2 = AB^2 + BC^2

Since angle B is a right angle, BC is the side opposite angle C. BC can be calculated using the Pythagorean theorem:

BC = √(AC^2 - AB^2)

Given that AB = 16 units, we need to calculate BC to determine AC and the cosine of angle C.

Now we can substitute the values into the equation to find BC:

BC = √(AC^2 - 16^2)

Once BC is calculated, we can find AC using:

AC = √(AB^2 + BC^2)

Finally, we can substitute the values of AB and AC into the cosine function to find the cosine of angle C:

cos(C) = AB / AC

Calculating the values for angle A, angle C, and AC will require numerical calculations based on the given information.

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This problem requires trigonometric identities and the properties of triangles to solve. We need either the length of side BC or the cosine of angle C to calculate the measures of angles A and C and the length of AC. However, the needed information is not provided in the question.

Before we can determine the measures of the angles and the length of the other side in ΔABC, we need more information, specifically, the value of the cosine of angle C. Unfortunately, the value for cos(C) was not provided in the question. However, under normal circumstances, you would use both the triangle's properties and trigonometric identities to solve this. These identities are based on the defined ratios of the sides of a right-angled triangle, and include the Pythagorean theorem (sin2(x) + cos2(x) = 1) and definitions of the sine, cosine, and tangent functions.

Since angle B is 90° and the angles in a triangle add up to 180°, you can find the measure of angle A by subtracting the measures of angles B and C from 180°. You would also use the Pythagorean theorem to find the length of side AC - if AB is the hypotenuse and BC is another side of the triangle, then AC = √(AB2 - BC2).

But without the value of cos(C) or the length of BC, it's impossible to find the measures of angles A and C and the length of AC.

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