By visual inspection, determine the best-fitting regression model for the data plot below.

a) xᵃ/xᵇ = xᵃ⁻ᵇ

b) xᵃ x xᵇ = xᵃ⁺ᵇ

c) x⁰ = 1

d) (xᵃ)ᵇ = xᵃˣᵇ

e) x⁻ᵃ = 1/xᵃ

indices are a method used in solving a variable in which the power or exponent of a number is raised to a number of variables

These questions are part of the basic theorems or rules of indices

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$231784 is the  to raise a child from birth to 17 years in a household with an annual income of $78,300.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Let y represents  the total cost in dollars f raising a child in the United States from birth to 17 years

x represents the households annual income

We have  y = 1.55x + 110,419

We need to find the value of y for x=78300

y=1.55(78300) + 110,419

y=231784

Hence, $231784 is the  to raise a child from birth to 17 years in a household with an annual income of $78,300.

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the x-intercepts will be -π/2, -3π/2,  π/2, 3π/2.

What is Trigonometric Functions?

Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.

The x-intercepts are locations on the coordinate plane where the y-value of the ordered pair is 0.

y = cos(x)

so the x-intercepts will be -π/2, -3π/2,  π/2, 3π/2.

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Answer: 6 feet long

Step-by-step explanation:

1ft. = 12 in

62 inches = 5 feet and 2 inches

Break down 62 into 60 and 2

60 divided by 12 = 5 (12x5=60)

60in. = 5ft.

2in. = 2in.

5ft. and 2in.

10in.= 10in.

Add the inches

10in. + 2 in. = 12 in.

12in.= 1ft.

5ft. + 1ft. = 6ft.

Answer: Nancy’s rope is 6ft. long

Hiya,

We literally just learnt about congruent shapes before the holidays.

I think it's like this-

If the shape is an SSS (Side, Side, Side) congruent or SAS (Side, Angle, Side), then you do the following:

a) Write the congruent statement... I'm not sure what the congruent statement is but it may be something you have learnt to do previously like an expression on revealing how to find the congruent shape and what type it is.

b) Sorry I'm not sure what a postulate is you may need to look back at your notes or research it.

I have attached images of the worksheet we were given in class which may or may not help!

Answer:

6. ΔANG ≅ ΔRWT by SAS Postulate.

7. The two triangles are congruent by SAS Postulate.

Step-by-step explanation:

If two sides and the included angle in one triangle are congruent to two sides and the included angle in another triangle, the triangles are congruent.  

The included angle is the angle between two sides of a triangle.

Therefore:

We are told that AN ≅ RW, GN ≅ TW, and ∠N ≅ ∠W.

Therefore, as two sides and the included angle in triangle ANG is congruent to the two sides and the included angle in triangle RWT, the SAS Postulate can be used to prove that the triangles are congruent.

The two given triangles have two sides of equal length, denoted by the same number of tick marks on each congruent line segment.  The included angles are also congruent (both are 90°).  Therefore, the SAS Postulate can be used to prove that the triangles are congruent.

Answer:

Step-by-step explanation:

To find the 90% confidence interval for the difference in proportions, we can use the following formula:

CI = (p1 - p2) ± zα/2 * √( (p1 * (1-p1) / n1) + (p2 * (1-p2) / n2) )

where:

p1 and p2 are the sample proportions from the city and rural area, respectively

n1 and n2 are the sample sizes from the city and rural area, respectively

zα/2 is the critical value from the standard normal distribution for a 90% confidence level, which is 1.645

First, we need to calculate the sample proportions:

p1 = 112 / 272 = 0.4118

p2 = 53 / 105 = 0.5048

Next, we can plug in the values and calculate the confidence interval:

CI = (0.4118 - 0.5048) ± 1.645 * √( (0.4118 * (1-0.4118) / 272) + (0.5048 * (1-0.5048) / 105) )

CI = (-0.146, -0.031)

Therefore, the 90% confidence interval for the difference in proportions is (-0.146, -0.031). This means we are 90% confident that the true difference in proportions of religious people between the city and rural areas lies between -0.146 and -0.031. Since this interval does not include zero, we can conclude that the proportion of religious people is significantly different between the two areas.

Answer:

Note that the line passes through the points (1,0) and (2,6).

Answer:

x = 40

Step-by-step explanation:

Alternate exterior angles are congruent (equal).

2x + 16 = 96   Subtract 16 from both sides

2x + 16 -16 = 96 - 16

2x = 80  Divide both sides by 2

x = 40

Answer:

x=40

Step-by-step explanation:

Answer:

Using the ratio given, we know that for every 5 colored pencils, there are 2 markers in each box.

Therefore:

The first blank represents the number of colored pencils in the box. Since the ratio of colored pencils to markers is 5 to 2, we can calculate that there are 5 colored pencils for every 2 markers. This means that for each box, there are 5/7 of the total number of items are colored pencils. So the missing value in the first row is 35.

The second row indicates that there are 20 items in the box. We know that the first row (colored pencils) has 35 items, and since the total number of items in the box is 20, the missing value in the second row (markers) is 20 - 35/7 = 15.

The third row represents the total number of colored pencils and markers in each box. We know that there are 35 colored pencils and 15 markers in each box, so the total number of items in each box is 50.

Therefore, the completed table would be:

Boxes for sale

||||||||||||||||||||||||||||||||||||||||||

Number of Colored | 35 | 20 | 35 |

Pencils | | | |

||||||||||||||||||||||||||||||||||||||||||

Number of Markers | 6 | 15 | 6 |

| | | |

Total Number of ||||||||||||||||||||||||||||||||||||||||||||

Colored Pencils and | 41 | 35 | 50 |

Markers in the Box |||||||||||||||||||||||||||||||||||||||||||||​

Answer:

x ≈ 2.7 m

Step-by-step explanation:

since the 2 triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{x}{1.6}[/tex] = [tex]\frac{4}{2.4}[/tex] ( cross- multiply )

2.4x = 4 × 1.6 = 6.4 ( divide both sides by 2.4 )

x = [tex]\frac{6.4}{2.4}[/tex] = 2.6666...

height of statue x ≈ 2.7 m ( to 1 decimal place )

Answer: a: To the right b: <

Step-by-step explanation: for a: Positive would be bigger than negatives always, (like -2 vs 2, 2 would be bigger.) b: that’s because 1/2 is closer to 0 than 2, 1/2 is basically 0.5 so -0.5 would be closer to 0 than -2.

Answer:

Yes, it is possible to determine which man has the different weight by using the seesaw three times. Here is one possible method

Divide the 12 men into three groups of four: A, B, and C.

Weigh group A against group B on the seesaw. (First use)

If the seesaw balances, then the odd man is in group C. Otherwise, he is in the heavier or lighter group (A or B).

Take two men from group C and weigh them against two men from group A or B that were balanced. (Second use)

If the seesaw balances again, then the odd man is one of the remaining two men from group C. Otherwise, he is one of the two men from group C that were weighed.

Weigh one of the suspected men against any other man. (Third use)

If the seesaw balances, then the odd man is the other one. Otherwise, he is the one that was weighed.

This method works because it eliminates half of the possible candidates at each step and identifies whether the odd man is heavier or lighter by comparing him with known balanced men.

Step-by-step explanation:

Answer:

7 degress celcius

Step-by-step explanation:

The mean change in Mr.60. Connor's bank account is $6.

To find the mean change in Mr. Connor's bank account, we need to add up all the changes and divide by the total number of changes.

First, we can simplify the given list of changes by combining the positive changes and the negative changes separately:

$50.25 + $50.25 = $100.50 (total positive change)

-$22.50 + (-$22.50) + (-$22.50) = -$67.50 (total negative change)

Then, we can find the total change in Mr. Connor's account by subtracting the total negative change from the total positive change:

$100.50 - $67.50 = $33.00 (total change)

Finally, we can find the mean change by dividing the total change by the number of changes:

$33.00 ÷ 5 = $6.60 (mean change)

Therefore, the mean change in Mr.60. Connor's bank account is $6.

In mathematics, the mean is a measure of central tendency that represents the average value of a set of numbers. It is also known as the arithmetic mean or simply the average.

To find the mean of a set of numbers, you add up all the numbers in the set and then divide by the total number of numbers. For example, to find the mean of the numbers 2, 5, 7, and 10, you add them up (2 + 5 + 7 + 10 = 24) and then divide by the total number of numbers (4), which gives a mean of 6.

The mean is often used in statistics to describe the typical or average value of a data set. It is a useful measure of central tendency because it takes into account all the values in the data set, not just a few extreme values. However, the mean can be affected by outliers, or extremely high or low values in the data set that can skew the average.

There are different types of means, including the arithmetic mean, the geometric mean, and the harmonic mean, each with different methods of calculation and specific applications.

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Answer: To find the percent increase in population, I used the following formula:

percent increase = (new value - old value) / old value * 100

In this case, the old value was the population from a decade ago (4360), and the new value was the current population (6590). So plugging these values into the formula, we get:

percent increase = (6590 - 4360) / 4360 * 100

percent increase = 51.38%

So the population of Placerville increased by approximately 51.38% over the past decade. The population of Placerville has increased by (6590 - 4360) = 2230 people over the past decade.

Step-by-step explanation:

What is modulus ?
In complex analysis, the modulus of a complex number z = a + bi is a measure of its distance from the origin in the complex plane. Specifically, the modulus is defined as |z| = sqrt(a^2 + b^2), where sqrt denotes the square root. Geometrically, |z| represents the length of the line segment from the origin to the point (a, b) in the complex plane.

Explanation:

The equation |x| = 2 represents the absolute value of x equals 2.

The graph of this equation will be a V-shaped graph that intersects the x-axis at x = -2 and x = 2, and the y-axis at y = 2. The vertex of the V-shaped graph is at the origin (0, 0).

Visually, the graph will look like two lines that start at the origin and extend upwards and downwards at a 45-degree angle, forming a V-shape. The two lines will be symmetric to the y-axis, meaning that the left half of the graph will be a mirror image of the right half.

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Answer:

environment .. pollution

growth if of food.... wealthy too much rain or no rain

The formula of 15% of 60kg is down below and it equals 9:

Given:

⇒ Formula = 15% of 60kg

⇒ Formula = 15 x 60

⇒ Formula = 100

⇒ Formula = 9

Check:

So, we used 15% of 60kg to find are answer:

We are going to use 100 and divide by 900:

Hence, the formula of 15% of 60kg it equals 9.

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In the parallelogram ABCD the measure of ∠BEC is obtained as 113°.

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

It is given that ABCD is a parallelogram.

The measure of ∠EAD = 30°.

The measure of ∠EDA = 37°.

In the parallelogram ∠EBC = ∠EDA as they form alternate interior angles pair.

Similarly, ∠ECB = ∠EAD as they form alternate interior angles pair.

The measure of ∠ECB = 30°.

The measure of ∠EBC = 37°.

Since EBC forms a triangle, so the sum of the angles of a triangle is 180°.

The equation is -

∠ECB + ∠EBC + ∠BEC = 180°

Substitute the values into the equation -

30° + 37° + ∠BEC = 180°

67° + ∠BEC = 180°

∠BEC = 180° - 67°

∠BEC = 113°

Therefore, the measure of ∠BEC = 113°.

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Answer:

g(x) = x + 3

Step-by-step explanation:

To see how this works, we can plug g(x) into f to get:

f(g(x)) = f(x + 3) = (x + 3)^3

Then, we can simplify h(x) = (x + 9) as follows:

h(x) = (x + 9) = ((x + 3) + 6) = g(x) + 6

Finally, we can write h(x) in terms of f(g(x)) as:

h(x) = g(x) + 6 = f(g(x)) + 6 = f(x + 3) + 6 = (x + 3)^3 + 6

Hence, the graph of g is upward than the graph of f.

Functions are often defined by a formula that describes a combination of arithmetic operations and previously defined functions; such a formula allows computing the value of the function from the value of any element of the domain.

Here given that,

The functions are

f(x) = 2^x

g(x) = f(x) + 6

so, g(x) = 2^x + 6

Draw the graphs of both the equation

The graph of the g is differ from f because in the graph of g it is upward than the graph of f .

Hence, the graph of g is upward than the graph of .

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The amount of money the organization will raise in total is $25655.17.

A percentage is a figure or ratio that can be stated as a fraction of 100 in mathematics. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total. Thus, a part per hundred is what the percentage refers to. Percent signifies for every 100.

Let us suppose the total amount raised = T.

Given that, $14,300 is 58% of the total amount we have:

T (58%) = 14300

T (58/100) = 14300

T = 14300(100)/58

T = 25655.17

Hence, the amount of money the organization will raise in total is $25655.17.

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Answer:

32

Step-by-step explanation:

Please clarify OU bisects ∠XO*. Is it Z? If it is so, then the solution is below:

∠YOX = ∠XOZ (vertical angles)

5x + 21 = 9x - 55

5x - 9x = -55 - 21

-4x = -76

X = 19

=> 5x + 21 = 5(19) + 21 = 116

∠YOX + ∠XOZ = 180 (linear angles)

116 + ∠XOZ = 180

∠XOZ = 180 - 116 = 64

Since OU bisects ∠XOZ

=> ∠XOU = ∠UOZ = 64/2 = 32

Yes, The y - intercept is zero because it cannot intercept at any point on y - axis.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The equation of your model is,

⇒ y = 0.122x

Here, The y - intercept is zero.

Since, The slope intercept form of equation of line is,

⇒ y = mx + b

Where, 'm' is slope and 'b' is y - intercept.

By comparing with the given equation, We get;

The y - intercept is zero.

And, By graph it cannot intercept at any point on y - axis.

Hence, The y - intercept is zero because it cannot intercept at any point on y - axis.

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Answer:

17 numbers in this range.

Step-by-step explanation:

For this function, the domain consists of all positive three-digit integers. There are 900 such integers, from 100 to 999.

The range consists of all numbers between 2 and 18, inclusive, since the smallest possible sum is 1+0+0 = 1 and the largest possible sum is 9+9+1 = 19, but the function only takes the sum of the largest and smallest digits. There are 17 numbers in this range.

Answer:

Step-by-step explanation:

The domain of this function consists of all positive three-digit integers. There are 900 three-digit integers in total, from 100 to 999 inclusive.

The range of this function consists of all integers between 2 and 18 inclusive, since the smallest and largest digits of a three-digit integer can range from 1 to 9, and their sum can range from 2 (1 + 1) to 18 (9 + 9). So the range has 17 elements in total: {2, 3, 4, ..., 18}.

Answer: 17:20pm

Step-by-step explanation: If you add 24 minutes to 14:46, that gives you 15:20pm. Add the 2 hours. So your answer is 17:20pm

The completed function to model the data is:

[tex]y = 3.1cos(\frac{2\pi }{365} (x-15.3)) + 12.2[/tex]

A periodic variable's amplitude is a gauge of its change over a single period.

A non-periodic signal's magnitude in relation to a standard value is its amplitude. There are several ways to define amplitude, and they are all dependent on how much the extreme values of the variable deviate from one another.

To find the amplitude:

max - min/2=15.3-9.1/2

= 3.1

The wavelength is 365

The midpoint is 12.2

The max position is 15.3

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Answer:

27.5

Step-by-step explanation:

(x – 3)2 = 49

(x – 3) = 49/2

(x – 3) = 24.5

x = 27.5