There are 12 different cookies on a plate. Aiden will choose 3 of these cookies to pack in his lunch. How many different groups of cookies can he choose from 12?
A) 220
B) 320
C) 420
D) 440
I know the correct answer is A) 220, but I am not sure why?

The best approach to calculating the stipulated 20% tip by means of fractions is to note that the tip is one-fifth of the total amount charged on the bill.

The percentage represented as; 20% can be expressed as a fraction.

This follows from the fact that the percentage, % symbol translates to divided by 100.

Consequently, we must note that the 20% translates to; 20/100 = 1/5.

Hence, the 20% tip is one-fifth of the total amount.

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Since Kevin is filing his tax return under the single status, he would be in the tax bracket of $86,376 to $164,925 with a marginal tax rate of 24%.

Under the progressive tax system, a tax bracket is a range of taxable incomes that is subject to a marginal tax rate.

Tax brackets provide a systematic way of progressively taxing taxpayers' income.

Taxable income = $125,500

Since he falls under the tax bracket of $86,376 to $164,925, Kevin's tax rate is 24%.

Thus, as a single taxpayer, Kevin falls under the tax bracket of $86,376 to $164,925 with a marginal tax rate of 24% of taxable income.

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Personal Income Tax Brackets for Single Filers:

Tax rate    Taxable income bracket      Tax owed

10%             $0 to $9,950                  10% of taxable income

12%            $9,951 to $40,525        $995 plus 12% of the amount over $9,950

22%         $40,526 to $86,375        $4,664 plus 22% of the amount over $40,525

24%         $86,376 to $164,925       $14,751 plus 24% of the amount over $86,375

Answer:   so there would be 1

23                                                

3   21

2   20

Step-by-step explanation:

The graph of the function, f(x) = (1/4)ˣ, can be seen in the attached graph, following the given steps.

In the question, we are given the function, f(x) = (1/4)ˣ.

Step 1, has asked us to find the initial value of the graph, f(0).

This can be calculated by substituting x = 0, in the given function, which gives us:

f(0) = (1/4)⁰ = 1.

Step 2, has asked us to plot the initial value of the function at (0, 1). This is plotted using the graphing tools.

Step 3, has asked us to evaluate f(1) and f(-1). By substituting x = 1, and x = -1, we get:

f(-1) = (1/4)⁻¹ = 4,

f(1) = (1/4)¹ = 1/4.

Step 4, has asked us to plot the points (1, 1/4), and (-1, 4). This is plotted using the graphing tools.

Step 5, has made us identify the asymptote y = 0.

Step 6, gives us the final curve for the function, f(x) = (1/4)ˣ.

The provided question is incomplete. The complete question is:

"Graph: f(x) = (1/4)ˣ

Step 1: Calculate the initial value of the function. f(0) =

Step 2: Plot the initial value of the function at (0, 1).

Step 3: Evaluate the function at two more points. f(1) = 1/4, f(-1) = 4

Step 4: Plot the points (1, 1/4) and (-1, 4)

Step 5: Identify the horizontal asymptote of the function. The asymptote is the line y = 0

Step 6: The smooth curve that includes these points and approaches to the asymptote shows the graph of the function"

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D

Step-by-step explanation:

The correct answer is option D, which is 105, 90, 75, 60, 45.

Answer:

I don't know what are you saying bro

The perimeter becomes double when each side is twice as long as the original.

According to the statement

we have given that the perimeter of a rectangle is 24 inches. and we have to find that the what effect does this enlargement have on the perimeter.

So, For this purpose, we know that the

A rectangle is a parallelogram all of whose angles are right angles especially : one with adjacent sides of unequal length.

The formula to find the perimeter of rectangle is 2(L + B)

And we the length is goes to increased by double then the perimeter will also goes to double.

Because perimeter is directly proportional to the length and breadth of rectangle.

So, The perimeter becomes double when each side is twice as long as the original.

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Answer:

6.32

Step-by-step explanation:

The formula we use to find the distance between two points is:

[tex]\sqrt{(x_1-x_2)+(y_1-y_2)}[/tex]

The x1 is -3, the x2 is 5, the y1 is -4, and lastly, the y2 is 1.

If we input these numbers in the equation, we end up with:

[tex]\sqrt{(-3-5)+(-4-1)}[/tex]

= [tex]\sqrt{(-8) (-5)}[/tex]

= [tex]\sqrt{40}[/tex]

= [tex]2\sqrt{10}[/tex]

= 6.32455532

Rounded to the nearest hundredth is 6.32

The value of the expression (a - b)² from the given equations is; 16

We are given the two equations as;

a + b = 10   -----(eq 1)

ab = 21    ------(eq 2)

From eq 1, square both sides;

(a + b)² = 10²

a² + 2ab + b² = 100

a² + b² = 100 - 2ab

We are given ab = 21. Thus;

a² + b² = 100 - 2(21)

a² + b² = 58

Now, we know that (a - b)² = a² - 2ab + b²

Thus;

(a - b)² = 58 - 2(21)

(a - b)² = 16

Complete question is;

If a + b = 10 and ab = 21, then the value of (a - b)² is?

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Under the straight-line depreciation method, the depreciation expenses for the years ended December 31, Year 1, Year 2, Year 3, and Year 4, for Perdue Company, are as follows:

Year Amount

Year 1 $2,858.33 ($11,4333.33 x 3/12)

Year 2 $11,433.33

Year 3 $11,433.33

Year 4 $8,575.01 ($11,433.34 - $2,858.33)

The straight-line method is one of the depreciation methods in use by companies to allocate the cost of plants and equipment over their useful lives.

Under the straight-line method, the depreciable amount (cost less residual value) is divided by the estimated useful life.

Other depreciation methods include the unit-of-production, double-declining-balance, and the sum-of-the-years-digit methods.

Equipment cost = $36,100

Residual value = $1,800

Depreciable amount = $34,300 ($36,100 - $1,800)

Estimated useful life = 3 years

Annual depreciation = $11,433.33 ($34,300/3)

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Determine the amount of depreciation expense for the years ended December 31, Year 1, Year 2, Year 3, and Year 4, by the straight-line method.

The table in the list of tables that represent an actual function is the first table i.e.

x y

-3 10

4 4

-5 -3

4 4

The table of values is given as:

Table 1

x y

-3 10

4 4

-5 -3

4 4

Table 2

x y

2 8

6 9

6 3

5 7

Table 3

x y

1 2

1 4

1 6

1 8

Table 4

x y

5 2

-3 2

2 2

1 7

For a table to represent a function, each of the x value on the table must correspond to exactly one y value

i.e.

x1 = y1

x2 = y2

And so on

Using the above highlights, the table that represents a function is table 1

Hence, the table in the list of tables that represent an actual function is the first table i.e.

x y

-3 10

4 4

-5 -3

4 4

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Answer:

30°

Step-by-step explanation:

[tex]\frac{195-(8x+17)}{2}=5x-10 \\ \\ 178-8x=10x-20 \\ \\ 198=18x \\ \\ x=11[/tex]

So, this means arc FH measures 105 degrees.

Since the circumference of a circle measures 360 degrees, arc EF measures 60 degrees.

By the inscribed angle theorem, angle EHF measures 30°.

The missing length of the box with square base is 20.370 inches.

This box can be represented by a right prism, whose volume (V), in cubic inches, is the product of the area of the base (A), in square inches, and the height of the box (h), in inches. The area of the base is equal to the square of the side length (l):

V = l² · h      (1)

If we know that V = 2 200 in³ and l = 108 in, then the height of the box is:

h = V / l²

h = (2 200 in³) / (108 in)

h = 20.370 in

The missing length of the box with square base is 20.370 inches.

The statement presents typing mistakes, correct form is shown below:

A box with a square base has a side length of 108 in. What is the length of the box if its volume is 2 200 in³?

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Using it's concept, the probability that the first coin is a nickel and the second coin is a quarter is:

2/39.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

Hence the probability will be given as follows:

p = 4/13 x 2/12 = 4/13 x 1/6 = 2/13 x 1/3 = 2/39.

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It's easy to show that [tex]7\tan(4x)[/tex] is strictly increasing on [tex]x\in\left[0,\frac\pi8\right][/tex]. This means

[tex]M = \max \left\{7\tan(4x) \mid \dfrac\pi{16} \le x \le \dfrac\pi{12}\right\} = 7\tan(4x) \bigg|_{x=\pi/12} = 7\sqrt3[/tex]

and

[tex]m = \min \left\{7\tan(4x) \mid \dfrac\pi{16} \le x \le \dfrac\pi{12}\right\} = 7\tan(4x) \bigg|_{x=\pi/16} = 7[/tex]

Then the integral is bounded by

[tex]\displaystyle 7\left(\frac\pi{12} - \frac\pi{16}\right) \le \int_{\pi/16}^{\pi/12} 7\tan(4x) \, dx \le 7\sqrt3 \left(\frac\pi{12} - \frac\pi{16}\right)[/tex]

[tex]\implies \displaystyle \boxed{\frac{7\pi}{48}} \le \int_{\pi/16}^{\pi/12} 7\tan(4x) \, dx \le \boxed{\frac{7\sqrt3\,\pi}{48}}[/tex]

Answer: [tex]\frac{10\pi}{3}[/tex] m

Step-by-step explanation:

[tex](2)(\pi)(4) \left(\frac{150}{360} \right)=\frac{10\pi}{3}[/tex]

Using the z-distribution, it is found that since the p-value is less than 0.02, we reject the null hypothesis.

At the null hypothesis, it is tested if the proportion is of at most 59%, that is:

[tex]H_0: p \leq 0.59[/tex]

At the alternative hypothesis, it is tested if the proportion is greater than 59%, hence:

[tex]H_1: p > 0.59[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are:

[tex]p = 0.59, n = 900, \overline{p} = 0.63[/tex]

Hence the value of the test statistic is found as follows:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.63 - 0.59}{\sqrt{\frac{0.59(0.41)}{900}}}[/tex]

z = 2.44.

Using a z-distribution calculator, for a right-tailed test, as we are testing if the proportion is higher than a value, with z = 2.44, the p-value is of 0.0073.

Since the p-value is less than 0.02, we reject the null hypothesis.

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Based on the data recorded by Isabella, it can be concluded the cube is rather fair.

Based on the data, here are the results:

This implies, in total Isabella got the same number between five and seven times. For example, the number 2 was obtained 5 times, but the number 3 was obtained 7 times.

Even though Isabella did not get the same number of times each number, the dice is rather fair because by rolling the dice thirty six times you will obtain the same number at least five times.

Moreover, there is not a big difference in the number of times you obtain each number.

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The original price of the item is $180

The values given in the question are;

Actual cost of the item Joyce bought= $108
The item was sold 40 percent off the original price

The original price can be calculated as follows

The first step is to subtract 40% from 100%

100%- 40%

= 60%

Let x represent the original price of the item

60/100x= 108

0.6x= 108

Divide both sides by the coefficient of x which is 0.6

0.6x/0.6= 108/0.6

x= 180

Thus, the original price of the item is $180

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Mary added [tex]$24 \frac{1}{2}[/tex] cups of sugar.

The ratio of flour to sugar exists at 9 cups: 2 4/7 cups

Utilizing equivalent ratios, given that 7 cups of sugar was utilized,

Let cups of flour needed = x such that our equation becomes

flour/sugar[tex]$ =\frac{9}{2\frac{4}{7} }=\frac{x}{7}[/tex]  

[tex]$ \frac{9}{2\frac{4}{7} }=\frac{x}{7}[/tex]

Convert mixed numbers into improper fractions

[tex]$2 \frac{4}{7}= \frac{18}{7}[/tex]

simplifying the above equation, we get

[tex]$\frac{9}{\frac{18}{7} } = \frac{x}{7}[/tex]

= [tex]$24 \frac{1}{2}[/tex]

x = 24.5

The value of x = 24.5.

Therefore, [tex]$24 \frac{1}{2}[/tex] cups of sugar exist required.

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The value of the base b in the isosceles triangle is 3.1 inches.

According to the statement

we have given that the

equation is 2a + b = 15.7 and if one longer sides is 6.3 centimeter.

And we have to find the length of the base. Then

2a + b = 15.7

Here a is 6.3 cm then

Substitute the values in it then

2a + b = 15.7

2(6.3) + b = 15.7

After solving the equation

12.6 + b = 15.7

b = 15.7 - 12.6

Now we get the value of base b which is 3.1.

So, b = 3.1

So, The value of the base b in the isosceles triangle is 3.1 inches.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 can be used to find the side lengths.

If one of the longer sides is 6.3 centimeters, what is the length of the base?

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Answer:

=> 42 ..

Step-by-step explanation:

Given : a = 6

=> a × 7

=> 6 × 7

=> 42

Answer:

suma todos los decimales

Step-by-step explanation:

empieza sumando 1059-94%eso te da 993,58 luego le sumas 89% lo que te da 884,2862 espero haberte ayudado

Answer:

We call the denominator rational.

Step-by-step explanation:

For example:

[tex]\frac{1}{\sqrt{2}} = \frac{\sqrt2}{\sqrt2 \cdot \sqrt2} = \frac{\sqrt2}{2}[/tex]

It's clear that the denominator is now a rational number, not an irrational one anymore.

The angles in degrees to radian is as follows:

-54 degrees = -3π / 10 radian

The measurement is in degrees. Let's convert it to radian with respect to π.

Therefore,

180 degrees = π radian

-54 degrees = ?

cross multiply

Hence,

angle in radian = -54 × π / 180

angle in radian = - 54π / 180

angle in radian = - 6π / 20

angle in radian = -3π / 10 radian

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