MATHEMATICS HIGH SCHOOL

Which of the following is the surface area of the right cylinder below?Radius 8
Height 14


A. 352 units2
B. 224 units2
C. 896 units2
D. 204 units2

Answers

Answer 1
Answer:

Answer:

352units²

Step-by-step explanation:

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Find the real numbers x and y that make the equation true.–4 + yi = x + 3iSteps.........
$1500 at 4% for 5 years show your work please.
1)-3a²b² *3a²b5= - 2) (-4 α²b6)³ = 3)-4m³h5.5n².m4= 4) (-3m²² h ²)4
The plot has an area of 78,125 square meters and is 125 meters wide. What is the length of the plot?
Over the weekend, the All Smiles Run had 16,478 participants for the Half Marathon. The All Smiles 10K had 6,924 participants, and the 5-Mile Walk had 3,067 participants. How many more people participated in the Half Marathon than in the 10K race and the 5-Mile Walk combined?a. 6,487b. 6,587c. 9,991d. 12,621

You are standing in one big palace where a king and his 5 queens stay. Each queen has 5 rooms. In each room there are 5 big cats. Each big cat has 5 little cats. Each cat has 4 legs.How many legs are there in the palace? Take ur time...

Answers

You = 2

King = 2

5 Queens = 5 X 2 = 10


5 X 5 = 25
There are 25 rooms belonging to Queens. 

25 X 5 = 125
There are 125 big cats. 

125 X 5 = 625
There are 625 little cats. 

625 + 125= 750
There are 750 cats in total. 

750 cats = 750 X 4 = 3000


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The town of gettysburg, PA, plans to shoot a live cannon as part of their annual Gettysburg Civil War Battle Reenactment. The organizers want to make sure that when they fire the cannon, it lands in a location that does not injure any participants or spectators. The slope of the field they are firing into can be represented by the equation y=0.15x. Let x represent horizontal distance, and y represents vertical distance.. if the cannon fires the cannon ball at an arc denoted by the equation y=-0.5x^2+2.5x+1, at what distance will the cannonball land. -I know i'm supposed to set -0.5x^2+2.5x+1=.15x and use distance formula BUT I KEEP GETTING DIFFERENT ANSWERS.

Answers

Answer:

The cannonball lands at approximately 5.093 unit distance from the point of fire

Step-by-step explanation:

The given parameters are;

The arc denoting the equation of motion of the cannon is y₁ = -0.5·x² + 2.5·x + 1

The slope of the field where in the direction the cannon is fired is y₂ = 1.5·x

The points where the cannonball land on the slopping field is given as rightly pointed by equating the two equations, the cannonball path path and the field path as follows;

At the point of contact of the cannonball and the field, the y-values of both equation will be equal

y₁ = y₂

∴ -0.5·x² + 2.5·x + 1 = 0.15·x

Which gives;

-0.5·x² + 2.5·x - 0.15·x + 1 = 0

-0.5·x² + 2.35·x + 1 = 0

-(-0.5·x² + 2.35·x + 1) = 0.5·x² - 2.35·x - 1 = 0

0.5·x² - 2.35·x - 1 = 0

The above equation is in the general form of a quadratic equation, which is given as follows;

a·x² + b·x + c = 0

By the quadratic equation, we have;

x = \frac{-b\pm \sqrt{b^(2)-4\cdot a\cdot c}}{2\cdot a}

Plugging in the values, gives;

x = \frac{2.35\pm \sqrt{(2.35)^(2)-4\cdot (0.5)* (-1)}}{2\cdot (0.5)} = (2.35\pm √(7.5225))/(1) =2.35 \pm √(7.5225)

∴ x ≈ 5.093 or x ≈ -0.393

Therefore, the cannonball will takeoff at x ≈ -0.393 and land at x ≈ 5.093

The height from which they fire the cannon is given by the substituting the value of x ≈ -0.393 into the equation for the path of the cannonball, to give;

y_((initial)) = -0.5·(-0.393)² + 2.5·(-0.393) + 1 = -0.0597

y_((initial)) ≈ -0.0597.

However, the actual initial height from which the cannonball is fired given by placing x = 0, which gives y = 1, which is the reason for the other (negative) value for x. Please see the attached graph created with Microsoft Excel.

Select two polynomials that have a sum of 16n^3+13n^2+7n-10 A. 8n^3 - 5n +11n^2 - 5 B. 7n^2 + 8n - n^3 + 2 C. 15n^2 - 10n + 3n^3 - 4 D. 2n^2 + 12n - 5 + 8n^3

Answers

Option A and Option D are correct,8n^3 - 5n +11n^2 - 5 and 2n^2 + 12n - 5 + 8n^3 are added to form the polynomial 16n^3 + 13n^2 + 7n - 10.

To find two polynomials that have a sum of 16n^3 + 13n^2 + 7n - 10.

Add the coefficients of the corresponding terms in each polynomial and see if they match the coefficients of the given polynomial.

In the given options, let us consider two polynomials:

8n^3 - 5n +11n^2 - 5 and 2n^2 + 12n - 5 + 8n^3

Add these two polynomials:

8n^3 - 5n +11n^2 - 5 + 2n^2 + 12n - 5 + 8n^3

Group the like terms:

8n^3+8n^3+11n^2+2n^2-5n+12n-5-5

Combine like terms:

16n^3 + 13n^2 + 7n - 10.

Hence, the two polynomials that have a sum of  16n^3 + 13n^2 + 7n - 10are 8n^3 - 5n +11n^2 - 5 and 2n^2 + 12n - 5 + 8n^3. Option A and D are correct.

To learn more on Polynomials click:

brainly.com/question/11536910

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How many combinations of 3 rocks can you choose from 8 rocks

Answers

2 because 3 times 2 is 6, so if u did 3 times 3 it would be too high to instead it would be 2

Christopher is getting a mortgage for a house and will borrow $700,000. For this mortgage, the amortized loan requires annual payments for 22 years at a 4.5% annual interest rate. How much of the first payment (to the nearest cent) is the interest owed for the first year of the loan?

Answers

Answer:

Step-by-step explanation:

How to find the amount of interest owed for the first year of the loan?

To calculate the interest owed for the first year of the loan, we need to consider the loan amount, the annual interest rate, and the loan term.

In this case, borrowing $700,000 for 16 years at an annual interest rate of 7.4%.

The interest owed for the first year can be determined by multiplying the loan amount by the annual interest rate:

Interest = Loan Amount * Annual Interest Rate

Interest = $700,000 * 0.074

Calculating this, we find that the interest owed for the first year is approximately $51,800.30.

Three more than three times a number is one less than two times the number what is the number

Answers

In the given question, there are several information's of immense importance. using these information's the correct and the required answer can be determined. It is given that an unknown number has to be found from the information's provided.
Let us assume the unknown number = x
Then
3x + 3 = 2x -1
3x - 2x = -1 -3
x = -4
So the unknown number is -4.
It should be remembered that these are trick questions and it is important to go through each lines very carefully to understand the inner meaning.
Let's say the unknown number = x

Now we have to set up an equation in order to solve for x.
3x + 3 = 2x -1
x = -4

Your answer should be -4
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