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Katen [24]
3 years ago
8

Express each of the following percentages as a fraction. 45%

Mathematics
2 answers:
Darya [45]3 years ago
4 0
45% = 9/20
45% can be expressed as 45/100
simplify to get 9/20
vesna_86 [32]3 years ago
3 0

Answer:

9/20

Step-by-step explanation:

45% can be written as

= 45/100

= 9/20

Hope it will help u..

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Which of these statements is true
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B:  The y-intercept is (0,2).

Step-by-step explanation:

See attached graph.

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What graph is defined by the function given below? <br><br>y = (x-1)(x+4)
Usimov [2.4K]
The x intercepts must be 1 and -4, so C.
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3 years ago
) Set up a double integral for calculating the flux of F=3xi+yj+zk through the part of the surface z=−5x−2y+2 above the triangle
Fynjy0 [20]

The surface (call it S) is a triangle with vertices at the points

x=0,y=0\implies z=2\implies(0,0,2)

x=0,y=2\implies z=-2\implies(0,2,-2)

x=2,y=0\implies z=-8\implies(2,0,-8)

Parameterize S by

\vec s(u,v)=(1-v)(2,0,-8)+v\bigg((1-u)(0,2,-2)+u(0,0,2)\bigg)=(2-2v,2v-2uv,-8+6v+4uv)

with 0\le u\le1 and 0\le v\le1. Take the normal vector to S to be

\vec s_v\times\vec s_u=(20v,8v,4v)

Then the flux of \vec F across S is

\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^1\int_0^1\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^1\int_0^1(6-6v,2v-2uv,-8+6v+4uv)\cdot(20v,8v,4v)\,\mathrm du\,\mathrm dv

=\displaystyle8\int_0^1\int_0^1(11v-10v^2)\,\mathrm du\,\mathrm dv=\boxed{\frac{52}3}

8 0
3 years ago
Which ordered pair is a solution of the equation? 2x+4y=6x-y OPTION A: Only (4,5) OPTION B: Only (5,4) OPTION C Both A and B OPT
sammy [17]

Answer:

option b

Step-by-step explanation:

replace x and y with the x and y of the ordered pair

option a: 2(4)+4(5)=6(4)-5

solve

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28=19  not true

option b:2(5)+4(4)=6(5)-4

solve

10+16=30-4

26=26  true

6 0
3 years ago
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