Identify one complete cycle, the amplitude, period and Phase shift for the function. Label the axes so that the amplitude (if defined) and period are easy to read. Y=1/2cospi/4x. ANSWER ALL PARTS. PLEASE USE THE GRAPH THAT WAS PROVIDED.

Thus, the dimensions of the rectangle are - length 22 inches and width 13 inches.

An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). The opposite sides of a rectangular are equal and parallel. A rectangle has two dimensions—length and width—because it is a two-dimensional form. The rectangle's longer side is its length, while its shorter side is its breadth.

Let the length of rectangle be 'l'

Let the width be 'w'.

Then,

Perimeter = 2(l + w)

70 = 2(l + w)

35 = l + w

l = 35 - w ...eq 1

Now,

Area = length * width

286 = l*w ...eq 2

Put eq 1 in eq 2

286 = (35 - w)*w

286 = 35w - w²

w² - 35w + 286 = 0

Solving the quadratic equation:

w² - 22w - 13w + 22*13 = 0

w(w - 22) - 13(w - 22)= 0

(w - 22)(w - 13) = 0

w = 22 and w = 13

As, length is greater than width-

width w = 13 inch

Length l = 35 - 13 = 22 inches.

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Answer: yes, the hex of the number 1,000,000 would be 40.

Answer: if the first angle is 61° then the angle x is 119°

               but if the first angle is 67 then the angle x is 113°

Step-by-step explanation:

Line is 180° that means our formula will look like that 67 or 61 + x = 180 in that case we have to calculate x ⇒ 180 - 61 or 67 = x

Answer:

161

Step-by-step explanation:

angle 5 is supplementary to the given angle 180-1

The price of the wheelbarrow is $86, and Pedro will need to pay an additional 30% of the price for shipping and handling.

To calculate the shipping and handling cost, we can first find 30% of the price of the wheelbarrow:

30% of $86 = 0.3 x $86 = $25.80

Therefore, Pedro will need to pay $25.80 for shipping and handling.

The values closest to these middle elements are 60 and 61 inches.

To construct a stemplot for the given data, we need to separate each observation into a stem and a leaf. The stem is the digit(s) on the left-hand side of the decimal point, while the leaf is the digit on the right-hand side. The stemplot for the given data is:

3 | 2

4 | 0 9 9

5 | 0 0 0 4 4 9

6 | 1 2 3

7 | 0 0 3 0

8 | 0 8

9 | 0

To find the two values that are closest to the middle, we need to sort the data in order from lowest to highest:

We have 19 observations, so the middle two observations are the 10th and 11th values, which are 60 inches and 61 inches, respectively. Therefore, the two values closest to the middle are 60 inches and 61 inches.

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The values closest to these middle elements are 60 and 61 inches.

To construct a stemplot for the given data, we need to separate each observation into a stem and a leaf. The stem is the digit(s) on the left-hand side of the decimal point, while the leaf is the digit on the right-hand side. The stemplot for the given data is:

3 | 2

4 | 0 9 9

5 | 0 0 0 4 4 9

6 | 1 2 3

7 | 0 0 3 0

8 | 0 8

9 | 0

To find the two values that are closest to the middle, we need to sort the data in order from lowest to highest:

We have 19 observations, so the middle two observations are the 10th and 11th values, which are 60 inches and 61 inches, respectively. Therefore, the two values closest to the middle are 60 inches and 61 inches.

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Where the above conditions existing, the probability that a randomly selected site will have a    snow depth between 2.25 and 2.7 inches is 68.3 %.

t the value The value one standard deviation below the mean is 2.25 inches.

The  value one standard deviation above the  mean is 2.75 in.

To find the probability , calculate the z-scores for these values

z1 = (2.25  - 2.5 ) /0.25 = -1

z2= ( 2.7 -2.5 )   / 0.25 = 0.8

Using a standard normal distribution table ....

we can see that the probability of a z-  score between -1 and 0.8 is approximately 0.683, or 68.3%.

Hence,  the probability that a randomly chosen location will have a snow depth between 2.25 and 2.7 inches is 68.3%.

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Answer:

38.part A) 3p = 25.47

partB) $8.49

Step-by-step explanation:

38) to get the price of a game ,$25.47 will be divided by

 25.47÷3=$8.49

the price of 1 game =&8.49

 to get the price of 1 game , the equation will be

 3p=25.47

 p=25.47÷3

 p=$8.49

Answer:

12[tex]x^{2}[/tex]+4x

Step-by-step explanation:

area = width * height

substitution: area = (3x+1)*4x

distributive property: area = (4x*3x)+(4x*1)

simplify: area = 12[tex]x^{2}[/tex]+4x

The relative maximum and minimum point as well as the absolute maximum and minimum points based on labeled points on the graph are;

Points 1, 3, and 5 are relative maximum points

Points 2 and 4 are relative minimum points

Point 5 is an absolute maximum point

Point 2 is an absolute minimum point

A relative maximum is a point in which the maximum with regards to the immediate surrounding points.

Therefore, the relative maximum points are;

The points 1, 3, and 5

The relative minimum points are points that are the minimum points, when compared with the surrounding points

The relative minimum are the points 2 and 4

The absolute maximum is the point which is at the highest point on the graph

The absolute maximum on the graph is therefore, the [oint 5

The absolute minimum on the graph is the point which is the minimum point compared to all other points

Therefore, the absolute minimum point is the point 2

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If 100 different students were chosen from this population, we would expect approximately 27 of them to read more than 94 words per minute. Therefore, the correct choice is (A).

The probability that a randomly selected student in the city will read more than 94 words per minute is 0.2743.

z-score = (x - μ) / σ = (94 - 88) / 10 = 0.6

Therefore, the probability of a z-score being greater than 0.6 is:

P(Z > 0.6) = 1 - P(Z < 0.6) = 1 - 0.7257 = 0.2743

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Answer:

Step-by-step explanation:

(a) π/4

(b) 0

(c) 1

(d) 1

(e) 2/3

(f) 1/2

Answer: A is 36 cm^2

Step-by-step explanation:

This method can be used to quickly obtain the product of two polynomials.A-6k²+25k²-16k-15.

Expression in math is a combination of numbers, symbols and operators that represent a mathematical quantity or operation. It can be a single number, a single variable, or a combination of numbers, variables and symbols combined together to form a mathematical statement. An expression can also include functions, such as polynomials, exponential functions, or logarithmic functions.


The vertical method involves writing the terms of the two factors side by side and multiplying them together to get the product.

(3k+5)  (2k²-5k-3)

6k³  +   0k²  +   0k   +  -15
0k³  +  10k²  + -15k   +   0
0k³  +   5k²   + -15k   +   0
0k³ +   0k²  +  15k   +   0

Adding the terms in each column yields the product:

A-6k³+25k²-16k-15

Therefore, the correct answer is A-6k³+25k²-16k-15.

In conclusion, using the vertical method can simplify algebraic multiplication problems by breaking them down into columns and adding the terms in each column. This method can be used to quickly obtain the product of two polynomials.

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Answer:

The mean of a binomial distribution is μ = np, where n is the sample size and p is the probability of success (having blue eyes).

μ = 20 x 0.08

μ = 1.6

Rounded to one decimal place, μ is 1.6.

Answer:

[tex]Triangle\: 1: } \dfrac{opposite}{adjacent} = \dfrac{16}{39.6} = \boxed{0.40404\cdots}[/tex]

[tex]Triangle\: 2: } \dfrac{opposite}{adjacent} = \dfrac{48}{118.8} = \boxed{0.40404\cdots}[/tex]

Choice C: The ratio is the same for both triangles

Step-by-step explanation:

[tex]Triangle\: 1: } \dfrac{opposite}{adjacent} = \dfrac{16}{39.6} = \boxed{0.40404\cdots}[/tex]

[tex]Triangle\: 2: } \dfrac{opposite}{adjacent} = \dfrac{48}{118.8} = \boxed{0.40404\cdots}[/tex]

So both ratios are the same. This is also because the ratios represent the tan of the angle that the adjacent side makes with the hypotenuse and this angle of 22° is same in both triangles

Therefore, the total volume of the two prisms is 10,404 cubic inches.

Volume is a measure of the amount of space occupied by a three-dimensional object. It is typically measured in cubic units, such as cubic meters (m³), cubic feet (ft³), or cubic centimeters (cm³). The volume of an object is calculated by multiplying its length, width, and height or by using an appropriate formula for the shape of the object.

Here,

The two prisms have the same dimensions of 17 inches in height, 18 inches in base, and 17 inches in length and width.

To find the volume of a prism, we multiply the area of the base by the height. The base of the prism is a rectangle with length 18 inches and width 17 inches, so the area of the base is:

Area of base = length × width

= 18 in × 17 in

= 306 in²

Therefore, the volume of one prism is:

Volume = area of base × height

= 306 in² × 17 in

= 5202 in³

The volume of the two prisms combined is simply twice the volume of one prism:

Total volume = 2 × 5202 in³

= 10404 in³

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1. If the gross domestic product of a country is significantly higher in one year than in another, the factor that might account for the difference is d. all of these.

2. The Lorenz Curve for the United States indicates that the richest 20 percent of households have d. 46.8 percent of the nation's income.

3. The economic condition most likely to be caused by a war affecting oil production in the Mid East would be a. demand-pull inflation.

The gross domestic product or GDP refers to the total monetary value of goods produced and services provided in a country during one specific period.

The Lorenz Curve, developed by Max Lorenz measures income inequality or wealth inequality using a graphical representation.

When there is a shortage in supply, pressure is mounted on the available quantity of an item, causing its price to increase.

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Answer choice C is correct. That is the total population of wild hogs in that particular area is 100.

Total population in an area refers to the number of individuals of a particular species or group living in a specific geographical region or habitat. This can include both visible and hidden individuals, such as animals that are difficult to spot or track. Total population is an important measure for conservation and management efforts, as it helps determine the size of a population and whether it is growing or declining.

Given that 20 wild hogs were tagged and later they saw 8 tagged wild hogs out of 40 recaptured wild hogs. We need to find the total population of wild hogs in that area.

From the given information we can see,

(Number of hogs tagged) / (Total population) = (Number of tagged hogs recaptured) / (Number of hogs recaptured)

⇒ 20 / x = 8 / 40

⇒ 8x = 20 × 40

⇒ 8x = 800

⇒ x = 100

Therefore, the wildlife group can estimate that the total population of wild hogs in the area is 100.

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your aanswer is 9 ⚡

The value of numbers are,

⇒ 9 and 16

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The product of two numbers is 1296.

And, one number is 16 times the other,

Let first number = x

Hence, Second number is, 16x

So, We get;

⇒ 16x × x = 1296

⇒ 16x² = 1296

⇒ x² = 81

⇒ x = 9

Hence, first number = 9

And, Second number is,

= 16x

= 16 x 9

= 144

Thus, The value of numbers are,

⇒ 9 and 16

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To solve this equation by combining terms, the answer will be: (c) -4a + 22b.

To solve the equation, we need to combine like terms together. This means that the figures with the suffix, a will come together, while those with the suffix, b will also align themselves. Going by this rule, we will have:

12a -16a + 26b -4b.

= -4a + 22b

When a higher number is to be subtracted from a smaller number, the result will be a negative number as is the case with the terms that have the 'a' initials.

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The measure of the smaller angle of the  co-interior angles is 69°

Co-interior angles are simply angles that occur in between two parallel lines when they are intersected by a transversal.

The two angles add up to 180º as they occur on the same side of the transversal always.

From the image, the two co-interior angles are:

x + 114

x + 72

Since the two angles add up to 180º.

x + 114 + x + 72 = 180

Solve for x

2x + 186 = 180

2x = 180 - 186

2x = -6

x = -6/2

x = -3

Hence, the measure of the two angles are:

x + 114 = -3 + 114 = 111°

x + 72 = -3 + 72 = 69°

Therefore, the smallest angle is 69 degree.

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Answer:

Impossible to know, or best guess

Step-by-step explanation:

It is impossible to determine exactly how many bucket loads it would take to empty the world's ocean because the volume of the ocean is constantly changing due to factors such as tides, currents, and sea level rise. However, we can estimate the approximate volume of the ocean and calculate the number of bucket loads needed based on that estimate.

The approximate volume of the world's ocean is 1.332 billion cubic kilometers (km³) or 332.5 million cubic miles (mi³). Assuming that each bucket can hold 10 liters or 0.01 cubic meters (m³) of water, we can calculate the number of bucket loads needed to empty the ocean as follows:

1 km³ = 1,000,000,000 m³

1,332,000,000 km³ = 1.332 x 10¹⁸ m³

1.332 x 10¹⁸ m³ / 0.01 m³ per bucket = 1.332 x 10²⁰ bucket loads

Therefore, it would take approximately 1.332 x 10²⁰ or 133,200,000,000,000,000,000 bucket loads to empty the world's ocean. This number is so large that it is practically impossible to even visualize, let alone accomplish.

Another answer provided by our lord and savior (That one green ai)

Okay, let's analyze the two functions based on the options:

Function A:

X f(x)

0 5

1 10

2 20

3 40

4 80

Options:

Neither function A nor function B has an x-intercept. - False, function A has an x-intercept at x=0.

Neither function A nor function B has a y-intercept. - False, function A has a y-intercept at f(x)=5.

The domain and range of both functions contain only positive numbers. - False, function A has values that include 0.

The domain and range of both functions contain only positive numbers and zero. - True, the domain and range of both functions contain only non-negative numbers including 0.

Therefore, the correct choice is:

O The domain and range of both functions contain only positive numbers and zero.

Let me know if you have any other questions!

Interest charge for the month = 51.69 rounded to the nearest penny.

Here, we have,

The particular month in question is 30 days long.

Your balance at the start of the month is 3,000.

Annual interest rate = 21%.

Payment = 150.00.

When the payment is made in the month, it reflects on the tax amount you pay on both the average day balance.

YOU SEND THE PAYMENT IN ON THE FIRST DAY OF THE MONTH.

YOUR ACCOUNT IS CREDITED ON THE 11TH DAY OF THE MONTH.

Average daily balance is 3000 from day 1 until day 10 (10 days)

Average daily balance is 2850 from day 11 until day 30 (20 days)

Average daily balance for the month = 10 * 3000 + 20 * 2850

                                                            = 87000 / 30

                                                            = 2900

Interest charge for the month = 0.21 * 2900 * 30 / 365

Interest charge for the month = 50.05 rounded to the nearest penny

YOU SEND THE PAYMENT IN ON THE TWENTIETH DAY OF THE MONTH.

YOUR ACCOUNT IS CREDITED ON THE 30TH DAY OF THE MONTH.

Average daily balance is 3000 from day 1 until day 29 (29 days)

Average daily balance is 2850 from day 30 until day 30 (1 day)

Average daily balance for the month = 3000 * 29 + 1 * 2850

                                                            = 89850 / 30

                                                            = 2995

Interest charge for the month = 0.21 * 2995 * 30 / 365

Interest charge for the month = 51.69 rounded to the nearest penny

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Complete Question:

Calculate the monthly finance charge for the following credit card transaction. Assume that it takes 10 days for a payment to be received and recorded and that the month is 30 days long. Round your answer to the nearest cent.

3,000 balance, 21% rate, 150 payment, average daily method

The missing sides of the triangle are

10). ∠ ABD = 60 degrees

11). ∠ ADB = 90 degrees

12). ∠ BAD = 30 degrees

13). ∠ CAD = 30 degrees

14. BD is half of the length = BC / 2 = 6/2 = 3

15. AD is the height this is solved using Pythagoras theorem as below

AD^2 = AB^2 - BD^2

AD^2 = 6^2 - 3^2

AD^2 = 36 - 9

AD = sqrt (27)

16. Area of Δ ABC

= 1/2 * base * height

= 1/2 * 6 * sqrt (27)

= 9 sqrt (3)

= 15.59 square units

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