A function is in the form g(x) = (x- c)^2 + d. If can d are both positive, which
could be the graph of g(x)?

Answer:

x = 16

Step-by-step explanation:

x - 12 = 4

 + 12 = +12

x = 16

Answer:

16

Step-by-step explanation:

Answer:

This is the answer

The small will grow 19/4 inch in 3 weeks and the method which will not give the correct inches will be the first option which is

                       multiply \(2\frac{1}{2} * 3\) and then add 3/4.

According to the question we have been given that

The height of the small plant = \(2\frac{1}{2}\) inch

In  1 week the plant grows = \(\frac{3}{4}\) inch

We need to find the height of the small plant after 3 weeks.

For that we will first find how much tall it will be in 3 weeks using unitary method that is,

                              1 week = \(\frac{3}{4}\) inch

                               3 week = \(\frac{3}{4}\)  * 3 inch

                                          = 9/4 inch

Therefore the height of the small plant after 3 weeks will be

                         \(=2\frac{1}{2} + \frac{9}{4} \\= \frac{5}{2} + \frac{9}{4}\\= \frac{10+9}{4} \\= \frac{19}{4}\)

hence the height is 19/4 inch

And the method which will not give the correct number of inches is the first option which is

               multiply \(2\frac{1}{2} * 3\) and then add 3/4.

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The area of the shaded region of the rectangle is approximately 573.92 square feet.

The figure in the image is that of a rectangle with a semi-circle inscribed in it.

The area of rectangle is expressed as:

Area = Length × Width

The area of semi-circle is expressed as:

Area = 1/2 × πr²

To determine the area of the shaded region, we simply subtract the area of the semi-circle from the area of the rectangle.

Area of shaded region = area of rectangle - area of semi-circle

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

From the image:

Length = 40 ft

Width = 20 ft

Radius r = 12 ft

Plug the values into the above formula:

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

Area of shaded region = ( 40 × 20 ) - ( 1/2 × 3.14 × 12² )

Area of shaded region = ( 800 ) - ( 226.08 )

Area of shaded region = 573.92 ft²

Therefore, the area is approximately 573.92 square feet.

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Answer:

DE≈16.1

m<E≈60.3

m<D≈29.7

Step-by-step explanation:

Step-by-step explanation:

Give the first 8 terms of the sequence. a1= -1, a2=2, a[n]=a[n-2](3-a[n-1])

Given

first term a1 = -2

second term a2 = 2

We are to get the first 8 terms. Given the sequence

a[n]=a[n-2](3-a[n-1])

a[3]=a[3-2](3-a[3-1])

a[3]=a[1](3-a[2])

a[3]=-2(3-2)

a3 = -2

a[n]=a[n-2](3-a[n-1])

a[4]=a[4-2](3-a[4-1])

a[4]=a[2](3-a[3])

a[4]=2(3+2)

a4= 10

a[5]=a[n-2](3-a[n-1])

a[5]=a[5-2](3-a[5-1])

a[5]=a[3](3-a[4])

a[5]=-3(3-10)

a5 = -3(-7)

a5 = 21

a[6]=a[n-2](3-a[n-1])

a[6]=a[6-2](3-a[6-1])

a[6]=a[4](3-a[5])

a[6]= 10(3-21)

a6 = 10(-18)

a6 = -180

a[n]=a[n-2](3-a[n-1])

a[7]=a[7-2](3-a[7-1])

a[7]=a[5](3-a[6])

a[7]= 21(3+180)

a7 = 21(183)

a7 = 3,843

a[8]=a[n-2](3-a[n-1])

a[8]=a[8-2](3-a[8-1])

a[8]=a[6](3-a[7])

a[8]=-180(3-3843)

a8 = -180(-3840)

a8 = 691,200

Answer: Total perimeter = 9, 962.01 feet

The figure is a composite structure

It contains a rectangle and triangle

The perimeter of a rectangle is given as

Perimeter = 2( length + width)

length of the rectangle = 1500ft

Width of the rectangle = 1390 ft

Perimeter = 2( 1500 + 1390)

Perimeter = 2(2890)

Perimeter = 5780 ft

To calculate the perimeter of a triangle

The total perimeter of the field = Perimeter of the rectangle + perimeter of the right triangle

Total perimeter = 5780 + 4182.01

Total perimeter = 9, 962.01 feet

The probability that all three letters selected are vowels, given that at least one vowel is selected, is approximately 0.00947, or 0.947% (rounded to three significant figures).

We are able to solve this problem with the usage of conditional probability. Allow A to be the event that every three letters selected are vowels, and B to be the occasion that at least one vowel is chosen.

Then we need to discover P(A|B), the probability that all three letters selected are vowels, given that at least one vowel is selected. Using the formula for conditional probability, we've got:

P(A|B) = P(A and B) / P(B), the possibility that at least one vowel is selected. This is equal to at least one minus the chance that no vowels are decided on, that is:

P(B) = 1 - (C(21,3) / C(26,3)) = 1 - 0.524 = 0.476

where C(n,r) denotes the range of combos of r items chosen from a fixed of n objects. Next, allow's find P(A and B), the possibility that all 3 letters decided on are vowels and at least one vowel is selected. That is sincerely the possibility that each one three letters are vowels, which is:

P(A and B) = C(5,3) / C(26,3) = 0.0045

therefore, we've got:

P(A|B) = P(A and B) / P(B) = 0.0045 / 0.476 ≈ 0.00947

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The tangent line at that point is:

y = (-3/25)*x + 6/5

so m = -3/25, and b = 6/5

To find the slope at that point, we need to evaluate the derivative at that point.

y = 3/x

The derivative is:

y' = -3/x²

When x = 5, we have:

y' = -3/5² = -3/25

So that is the slope, m.

Now let's find the line.

The line must pass trhough the point (5, 3/5), then:

3/5 = (-3/25)*5 + b

3/5 = -3/5 + b

3/5 + 3/5 = b

6/5 = b

The equation of the line is:

y = (-3/25)*x + 6/5

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Answer:

0.34%

Step-by-step explanation:

1. Start by representing the percentage with the variable, x %. Using x%, create an algebraic expression.

    29% X x = 3

2. Solve for x by dividing both sides by 29.

   29x divided by 29 =3 divided by 29.

             x=0.1034

3.Convert 0.1034 into a percentage by multiplying the decimal by 100%

             X =0.1034 x 100%

                  x=10.34%

Answer:

150÷48=3hrs and 125minutes

Step-by-step explanation:

speed =distance/time

Answer:

  Nora is correct

Step-by-step explanation:

Sophia used an appropriate method for computing the value of the repeating decimal fraction ...

  0.1212_12

Close examination of the given decimal fraction shows that it is non-repeating, so is an irrational number. It cannot be represented by the ratio of integers.

Nora is correct in saying Sophia made a mistake.

___

Sophia depended on 100x -x cancelling some part of the fraction, so the result was a finite decimal. For repeating 2-digit fractions, this works well:

  \(x=0.12\overline{12}\\100x=12.12\overline{12}\\100x-x=12.12\overline{12}-0.12\overline{12}=12\\x=12/99\)

However, the decimal does not repeat, so this does not work:

  100x = 12.1121112

  100x -x = 12.1121112 -0.121121112 = 11.99099009900099... non-repeating

That is, the decimal part is not cancelled by Sophia's work, as we said above.

Answer:

10 weeks

Step-by-step explanation:

1 because 20 times 10 is 200 and if he starts with 500 then he can withdraw 20 dollars a week for 10 weeks to have 300 left by the end of the summer, hope this helps :)

Answer:

0.321

Step-by-step explanation:

32.1 / 100 = 0.321 = \(\frac{321}{1000}\)

The decimal equivalent of 32.1% is 0.321.

Converting a percentage to a decimal is a breeze.

To convert 32.1% to its decimal equivalent, all you have to do is divide the percentage value by 100.

In this case,

it would be 32.1 ÷ 100 = 0.321.

So, the decimal equivalent of 32.1% is 0.321.

Converting percentages to decimals is a simple concept that allows us to represent numbers in different form.

It's like translating one language into another.

By dividing the percentage by 100, we scale it down to a decimal representation.

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The shortest path from vertex A to vertex L in the given diagram is ABDGJLKFI, with a total length of 89.

We can find the length of the shortest path from vertex A to vertex L by calculating the sum of the shortest paths from A to C to F to I to L.

Using Dijkstra's algorithm, we can find the shortest path from A to C, then from C to F, then from F to I, and finally from I to L.

The shortest path from A to C is AB + BC = 3 + 16 = 19. The shortest path from C to F is CF = 25. The shortest path from F to I is FI = 21. The shortest path from I to L is IL = 24.

Therefore, the length of the shortest path from A to L is 19 + 25 + 21 + 24 = 89.

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Answer:

B

Step-by-step explanation:

Its really not hard. Just look at the chart. Find the 96 in the chart. What is it under? Flowers ordered. Which flower? Petunias. So its B. I'm sure you could have figured that out on your own. Not being rude, just telling you.

Complete Question

The proportion of all students at this college who use drugs is a_____and the proportion of students who use drugs in your dorm is a _____ .

Options

Answer:

b. parameter; statistic

Step-by-step explanation:

A parameter is a summary of data for an entire population.

Statistic, on the other hand, summarizes data for a sample of the population.

The proportion of all students at this college who use drugs is a parameter and the proportion of students who use drugs in your dorm is a sample.

The correct option is B

Answer:

13/20<--->65%

21/25<--->84%

3/4<--->75%

2/5<--->40%

3/5<--->60%

To find the matching pairs, divide the fraction and move the decimal point to your answer 2 places to the right to then get a percentage.

Ex:  1/2=   .50->5.0->50.->50%

The image did not show the rest of the answers, but I worked with what information I received from the current image, producing 5 sets of answers. If there are more than 5 sets, please send a second image with your question so we can help you with the rest.

Hence the correct match of fractions to their equivalent percentages are;

13/20 = 65%

21/25 = 84%

3/4 = 75%

2/5 = 40%

3/5 = 60%

Fractions are written as a ratio of two integers. In order to convert fractions to percentage, we will simply multiply the fraction given  by 100.

For the fraction 13/20

13/20 * 100 = 13 * 5

13/20 = 65%

For the fraction 21/25

21/25 * 100 = 21 * 4

21/25 = 84%

For the fraction 3/4

3/4 * 100 = 3 * 25

3/4 = 75%

For the fraction 2/5

2/5 * 100 = 2 * 20

2/5 = 40%

For the fraction 3/5

3/5 * 100 = 3* 20

3/5 = 60%

Hence the correct match of fractions to their equivalent percentages are;

13/20 = 65%

21/25 = 84%

3/4 = 75%

2/5 = 40%

3/5 = 60%
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Using proportions, it is found that:

a) 36 pages should be of advertising and 12 pages should be of news stories.

b) 20 pages should be of retail advertising, 12 pages should be of national advertising and 4 pages should be of classified advertising.

c) $450,000 was earned by retail advertising, $270,000 was earned by national advertising and $90,000 was earned by classified advertising.

d) You will receive a bonus of $14,400 for last year's sales.

A proportion is a fraction of a total amount, and equations can be built to find the measures using a rule of three, that can be either direct or inverse, deriving from proportional relationships.

One example of application is for ratio problems, as fractions of the total amount are built from the ratios, as given in this problem.

For item a, we have that three times as much advertising as news stories are needed, hence 3/4 of the 48 pages are advertising, hence:

3/4 x 48 = 0.75 x 48 = 36.

Hence:

The remaining 12 are of news stories.

For item b, from the ratio of 5 to 3 to 1, we have that:

Hence:

In item c, from the same ratio as above, the advertising values are found as follows:

For item d, the bonus is calculated as follows:

1/50(450,000 + 90,000) + 1/75(270,000) = $14,400.

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We conclude that the image of (-8, -8), after a dilation by a scale factor of 1/4, is (-2, -2).

For a point (x, y), a dilation by a scale factor of k gives the point (k*x, k*y).

Now, in this case, we have the point (-8, -8) and the scale factor is k = 1/4.

Then, using the above relation, we can write the coordinates of the image after the dilation as:

(-8*(1/4), -8*(1/4)) = (-2, -2).

We conclude that the image of (-8, -8), after a dilation by a scale factor of 1/4, is (-2, -2).

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The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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Answer:

It's A

Step-by-step explanation:

4^2 = 16 times 1/3 equal 16/3

The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.

Note: Assuming angle 1 is equal to 60 degrees.

In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:

m∠1 ≅ m∠3 = 60°.

Based on the linear pair postulate, the measure of angle 2 can be determined as follows;

m∠1 + m∠2 = 180°

60° + m∠2 = 180°

m∠2 = 180° - 60°

m∠2 = 120°

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Answer:

he will need 4 cans to make it 100 %compleate

Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

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Based on the information given, it can be deduced that the markup of the birdhouse is 150%.

From the question given, it was stated that Max's Woodworking $16 to build each birdhouse and that he sold the birdhouses for $40.

Therefore, the markup percentage will be:

= (40 - 16)/16 × 100

= 24/16 × 100

= 150%

Therefore, the markup is 150%.

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3/4 ÷ 1/3 =9/4 hours

= 3/4 x 3 = 9/4 hours

EXPLANATION

Let x be the number of hours it would take the penguin to walk 3/4 mile.

1/3 mile = 1 hour

3/4 mile = x

Cross-multiply

1/3 x = 3/4

Divide both-side by 1/3

x = 3/4 ÷ 1/3

= 3/4 x 3 = 9/4 hours

Step-by-step explanation:

Hope you can correct you question