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3 years ago

» A race car game takes 6 points from a player each

Mathematics

1 answer:

Elza [17]3 years ago

7 0

Answer:

-60

It is -60 because if it takes away 6 points for each cone you hit and you hit 10, then it would be -60 times 10, which equals -60.

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Evaluate the surface integral. s xy ds s is the triangular region with vertices (1, 0, 0), (0, 8, 0), (0, 0, 8)

zmey [24]

Parameterize $S$ by

$\vec s(u,v)=(1-u)v\,\vec\imath+8uv\,\vec\jmath+8(1-v)\,\vec k$

with $0\le u\le1$ and $0\le v\le1$ .

Then the surface element is

$\mathrm dS=\|\vec s_u\times\vec s_v\|\,\mathrm du\,\mathrm dv=8\sqrt{66}\,v\,\mathrm du\,\mathrm dv$

and the surface integral is

$\displaystyle\iint_Sxy\,\mathrm dS=8\sqrt{66}\int_0^1\int_0^18(1-u)uv^3\,\mathrm du\,\mathrm dv=\boxed{8\sqrt{\dfrac{22}3}}$

4 0

3 years ago

s x – 5 a factor of the function f(x) = x3 – 5x2 + 7x – 35? Use the Remainder Theorem to justify your answer.

Assoli18 [71]

By using the remainder theorem we found that ( x - 5 ) is the factor of function f(x) = x³ – 5x² + 7x – 35.

<h3>What is factorization?</h3>

Factorization is defined as splitting the polynomial into its most simplified form. This factor satisfies the polynomials from which it is extracted.

The factorization by using the Remainder theorem.

x - 5 ) x³ – 5x² + 7x – 35.( x ² + 7

x³ - 5x²

______________

00 7x - 35

7x - 35

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

Here the function is completely divided by the factor x - 5 therefore

by using the remainder theorem we found that ( x - 5 ) is the factor of function f(x) = x³ – 5x² + 7x – 35.

To know more about factorization follow

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3 0

2 years ago

PLEASE HELP! I WILL GIVE YOU 25 POINTS AND BRANLIEST!! PLEASE ONLY CORRECT ANSWERS!!

kow [346]

To start, I had similar questions and I know that it takes 3 cones to fill a cylinder.
And as for the volumes:
V of a cylinder= V=π r2 h (pi x radius squared x height)
Volume of a cone= V=π r2 h/3 (pi x radius squared x height divided by 3)

3 0

3 years ago

James has a certain amount of money. If he buys $3$ pens and $2$ pencils, he will have $\$2$ left over. If he buys $2$ pens and

labwork [276]

The cost of pen and pencils are related to the number that can be bought

with a given amount of money.

$\underline{The \ ordered \ pair \ (a, \, b) \ is \ (6, \, 2)}$

Reasons:

The given parameters are;

If the number number of pens and pencils James buys = 3 pens and 2 pencils, the amount James will have left = $2

If the number of pens and pencils James buys = 2 pens and 3 pencils, the amount James will have left = $6

The amount of money Judith has = The amount of money with James

The number of pens and pencil James and Judith can buy = 6 pens and 6 pencils

The cost of one pen = a

The cost of one pencil = b

Required:

To find the ordered pair (a, b)

Solution:

Let X represent the initial amount of money James has, we get;

X - (3·a + 2·b) = 2...(1)

X - (2·a + 3·b) = 6...(2)

2·X = 6·a + 6·b...(3)

Therefore;

X = (6·a + 6·b) ÷ 2 = 3·a + 3·b

Which from equation (1) gives;

3·a + 3·b - (3·a + 2·b) = 2

3·a + 3·b - 3·a - 2·b = 2

3·b - 2·b = 2

b = 2

Subtracting equation (1) from equation (2) gives;

(X - (2·a + 3·b)) - (X - (3·a + 2·b)) = 6 - 2 = 4

-2·a - 3·b + 3·a + 2·b = 4

a - b = 4

a = 4 + b

∴ a = 4 + 2 = 6

a = 6

$\underline{The \ ordered \ pair \ (a, \, b) \ is \ (6, \, 2)}$

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8 0

2 years ago

A midpoint of sequence of numbers.

Tema [17]

This would be a median

4 0

3 years ago