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Umnica [9.8K]
3 years ago
15

» 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

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

                                     00

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

brainly.com/question/25829061

#SPJ1

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 r<span>2 h (pi x radius squared x height)
Volume of a cone= V=</span><span>π r2 h/3 (pi x radius squared x height divided by 3)</span>


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.

  • <u />\underline{The \ ordered  \ pair \  (a,  \, b)  \ is  \ (6, \,  2)}<u />

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 <em>X</em> 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

<u />

<u />

\underline{The \ ordered  \ pair \  (a,  \, b)  \ is  \ (6, \,  2)}<u />

Learn more about word problems and simultaneous equations here:

brainly.com/question/14294864

8 0
2 years ago
A midpoint of sequence of numbers.
Tema [17]
This would be a median
4 0
3 years ago
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