Find the domain and range for f(x)=pi cos(x)

Answer:

5572.45

Step-by-step explanation:

the formula to calculate the colume of a sphere is (4/3)πr², where r is the radius of the sphere.

to find r (radius):

- divide the diameter by 2 because d = 2r, where d is the diameter and r is the radius

r = 22/2

= 11 in

to find volume of the globe:

- substitute r = 11 into (4/3)πr³

v = (4/3)π(11)³

= 5324π/3

≈ 5575.27976 in³

hence, the best approximation of the globe is 5572.45 in³.

Answer:

7x + 8

Step-by-step explanation:

2×2+7x+4

4 + 7x + 4

7x + 8

Answer:

Step-by-step explanation:

To solve for BC we use sine

sin ∅ = opposite / hypotenuse

From the question

AC is the hypotenuse

BC is the opposite

So we have

sin 58 = BC / AC

sin 58 = BC / 14

BC = 14 sin 58

BC = 11.87

BC = 11.9 to one decimal place

Hope this helps you

Answer:

\(\boxed{BC = 11.9 \ cm}\)

Step-by-step explanation:

Sin A = \(\frac{opposite}{hypotenuse}\)

Where A = 58°, Opposite = BC and AC = 14 cm

Sin 58 = \(\frac{BC}{14}\)

BC = 0.848 * 14

BC = 11.9 cm

Answer:

Step-by-step explanation:

Vertically opposite angles are congruent.

∠A = ∠C

∠A + ∠C = 254

∠A + ∠A = 254

      2∠A = 254

        ∠A = 254/2

∠A = 127

Linear Pair: In two adjacent angles, if the non common arms are opposite  rays, then they are called linear and they add up to 180

∠A + ∠B = 180  {linear pair}

127 + ∠B = 180

        ∠B = 180- 127

        ∠B = 53°

Answer:

C there is no solution

Step-by-step explanation:

These 2 equations are the same but equal too different things so they are parralell

hopes this helps

Answer:

C (Third one) -6, -10/3, 1/4, Sqr6, 3.9

Step-by-step explanation:

-6 = -6

-10/3 = -3.33333333

1/4 = 0.25

Sqr6 = 2.4494...

3.9 = 3.9

\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)

Answer:

256 train or 80% of the trains arrived on time

Step-by-step explanation:

Total trains that arrived in a week = 320 trains

Late = 5% of 320

early = 15% of 320

On time = 320 - (15 + 5% of 320)

=> 320 - (20% * 320)

=> 320 - 64

=> 256

Therefore, 256 train or 80% of the trains arrived on time

Hope my answer helps :)

Answer:

The y-intercept of this line is -1

Step-by-step explanation:

hope this helps :)

Answer:

1. Baseball

2. Soccer ball

3. Football

Explantion:

Speed = Distance / time

Baseball --> 1270/32 = 39.69

Football --> 1199/44 = 27.25

Soccer ball --> 1270/44 = 28.86

Answer:

1. Baseball

2. Soccer ball

3. Football  

Formula= Speed = Distance / time

Baseball in fraction form is 1270/32 and in decimal form is 39.69

Football in fraction from is 1199/44 and in decimal form is 27.25

Soccer ball in fraction form is 1270/44 and in decimal 28.86

Hope this helps <3 Need thanks? Comment /hearthelp

Answer:

189.8 miles each day

Step-by-step explanation:

949 divided by 5 days = 189.8 miles each day

Answer:

B

Step-by-step explanation:

I dunno it seems like it's turned at the same degree

Answer:

x=6

Step-by-step explanation:

/AB/=2x+12

/BC/=5x+10

3x+2=5x-10 subtract 2 from both sides

3x=5x-12 subtract 5x from both sides

-2x=-12 divide both sides by -2x

x =6

Answer:

--------------------------------------

Initial height is the y-intercept of the line.

Yearly growth rate is the slope.

So we have:

The equation of the line with these constants is:

Answer:

11.5 & 25.5

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

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The answer is z test.

What is z test?

If the data is distributed normally, a z test can be used to determine whether the means of two populations differ from one another. The z test statistic's value must be determined, together with the null hypothesis and alternative hypothesis setups, for this reason. On the z critical value, the decision criterion is based. The distribution graph is divided into acceptance and rejection zones during hypothesis testing by the z critical value. The null hypothesis can be rejected if the test statistic lies inside the rejection region; otherwise, it cannot.

Here the data is normally distributed and using the sample mean.

Hence we should use z test when computing a confidence interval

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The maximum height is the highest level of height an object can reach. . The greatest height of the hangar is 32feet

The maximum height is the highest level of height an object can reach. Given the height in feet of the curved roof of an aircraft hangar can be modeled by y=-0.02x^2+1.6x

The velocity of the aircraft is zero at the maximum height. Therefore:

dy/dx = -0.04x + 1.6  = 0

Determine the value of x

0.04x = 1.6
x = 1.6/0.04
x = 40

Substitute x = 40 into the function to get the greatest height

y=-0.02x^2+1.6x

y=-0.02(40)^2+1.6(40)

y = -32 + 64

y = 32ft

Hence the greatest height of the hangar is 32feet

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Answer:

x = -61

Step-by-step explanation:

-  2x - 35 = 87.    

         +35. +35.   Add 35 to both sides

-2x = 122.  

-2/-2 = 122/-2.     Divide by -2 on both sides

     x = -61

Answer:

the answer is sometimes

The total cost (c) to put on the seminar is c = 6,930 + 130x + 575x, where x represents the number of students who enroll in the seminar.

The total cost (c) to put on the seminar can be modeled using the following equation -

c = 6,930 + 130x + 575x

here, x represents the number of students who enroll in the seminar.

The above equation takes into account the fixed costs of the conference room, instructor compensation, lab assistants, and promotion (6,930), as well as the variable costs of renting computers (130x) and the seminar fee charged to each student (575x).

As more students enroll in the seminar, the total cost will increase due to the additional computer rental and seminar fee costs.

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Answer:

The equation in slope-intercept form is \(y=\frac{1}{14}x\).

Step-by-step explanation:

Given points are;

(-14, -1 ) and (0,0)

Slope of a line is given by;

m = \(\frac{y_2-y_1}{x_2-x_1}\)

m = \(\frac{0-(-1)}{0-(-14)}\)

m = \(\frac{1}{14}\)

General equation in slope intercept form is,

y = mx + b

Putting (-14, -1) and m = 1/14 in Equation to find b

-1 = \(\frac{1}{14}(-14) +b \\\)

-1 = -1 + b

b = -1 + 1

b = 0

As y-intercept is 0, the equation in slope-intercept form would be

\(y = \frac{1}{14}x\)

Hence,

The equation in slope-intercept form is \(y=\frac{1}{14}x\).

Declaring instance variables as B. private is known as data hiding or information hiding.

In object-oriented programming, the visibility or accessibility of variables and methods is controlled by access modifiers. By declaring instance variables as private,

we restrict their access to within the class itself. This means that the variables cannot be accessed or modified directly from outside the class, including from other classes or objects.

Data hiding, or information hiding, is an important concept in object-oriented programming. It helps encpsulate the internal implementation details of a class, providing a level of abstraction and protecting the data from unintended modification or access.

By declaring instance variables as private, we enforce encapsulation and ensure that the variables can only be accessed and manipulated through public methods or interfaces defined by the class.

Using private instance variables promotes better software design, as it allows for better control over the state of an object and reduces dependencies on its internal structure.

It also provides a way to protect sensitive or critical data within an object, enhancing security and preventing unauthorized access.

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Answer:

(x,y)=(24,-7)

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Since both equations are set equal to y, it follows that

\(x+2=x^2 + 5x+6\\\\x^2 +4x+4=0\\ \\ \\(x+2)^2 = 0\\\\x=-2\\\\\implies y=-2+2=0\)

So, the solution is (-2, 0).

Explanation

In the question, we are given that the millet seeds and the sunflowers seed are packaged in 5 pounds back.

We can assume that the pounds of millet seeds be x and the pounds of sunflower seeds be y. We can therefore create the equation;

Next, we know that a pound of sunflower seed cost $1.75 and a pound of millet seed cost $2.50 and the mixture is sold for $11.60. This will imply;

We will then solve the above equation simultaneously.

Insert equation 3 in equation 2

Since the weight of the sunflower seed is represented by y, therefore the answer is;

Answer: 1.2 pounds

There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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Step-by-step explanation:

1 pound = 0.45 kilograms

1 square inch = 6.25 square centimeters

First, let's convert the pressure from pounds per square inch to kilograms per square inch:

198 pounds/square inch × 0.45 kilograms/pound = 89.1 kilograms/square inch

Next, let's convert from kilograms per square inch to kilograms per square centimeter:

1 square inch = 6.25 square centimeters

89.1 kilograms/square inch ÷ 6.25 square centimeters/square inch = 14.256 kilograms/square centimeter

Therefore, the pressure of 198 pounds per square inch is equivalent to 14.256 kilograms per square centimeter.

The monthly rate for the given loan is 1.0118%.The annual rate for this loan is 12.1423%.

Given loan: $150,000

Payment per month: $1,770

Duration of loan: 10 years

Interest = ?

The formula for monthly payment is given by:

\(PV = pmt x (1 - (1 + r)^-n) / r\)

Where, PV is the present value, pmt is the payment per period, r is the interest rate per period and n is the total number of periods.Solving the above formula for r will give us the monthly rate for the loan.

r = 1.0118%The monthly rate for the given loan is 1.0118%.The annual rate can be calculated using the following formula:

Annual rate = \((1 + Monthly rate)^12 - 1\)

Annual rate = 12.1423%

The annual rate for this loan is 12.1423%.The effective annual rate can be calculated using the following formula:

Effective annual rate =\((1 + r/n)^n - 1\)

Where, r is the annual interest rate and n is the number of times interest is compounded per year.If interest is compounded monthly, then n = 12

Effective annual rate = (1 + 1.0118%/12)^12 - 1

Effective annual rate = 12.6801%

The effective annual rate for this loan is 12.6801%.

Total amount paid after 10 years = Monthly payment x Number of payments

Total amount paid after 10 years = $1,770 x 120

Total amount paid after 10 years = $212,400

The total amount paid after 10 years is $212,400.

The future value for this loan can be calculated using the following formula:

FV = PV x (1 + r)^n

Where, PV is the present value, r is the interest rate per period and n is the total number of periods.If the loan is paid off in 10 years, then n = 120 (12 payments per year x 10 years)

FV = $150,000 x (1 + 1.0118%)^120

FV = $259,554.50

The future value for this loan is $259,554.50.

Thus, the monthly rate for the loan is 1.0118%, the annual rate for this loan is 12.1423%, the effective annual rate for this loan is 12.6801%, the total amount paid after 10 years is $212,400 and the future value for this loan is $259,554.50.

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