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Troyanec [42]
2 years ago
15

What is the product of (8.8 × 106)(5 × 102)?

Mathematics
1 answer:
Serhud [2]2 years ago
7 0

(8.8 × 106)(5 × 102)

= (932.8)(510)

= 475,728

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In a USA TODAY/Gallup Poll, respondents favored Barack Obama over Mitt Romney in terms of likeability, 61% to 32% (Los Angeles T
dybincka [34]

Answer:

a) percentage of respondents that favored neither Obama nor Romney in terms of likeability = 7%

b) For a given survey of 500, the number of respondents that favored Obama than Romney is 145.

Step-by-step explanation:

Given that none of those surveyed can favour the two candidates at the same time,

n(Universal set) = n(U) = 100%

n(Obama) = n(O) = 61%

n(Romney) = n(R) = 32%

n(That favour Obama and Romney) = n(O n R) = 0%

To calculate for the number that favour neither of the candidates

n(O' n R')

n(U) = n(O) + n(R) + n(O n R) + n(O' n R')

100 = 61 + 32 + 0 + n(O' n R')

n(O' n R') = 100 - 93 = 7%

b) For a given survey of 500, how many more respondents favored Obama than Romney?

Number of those surveyed that favour Obama = 61% of 500 = 305

Number of those surveyed that favour Romney = 32% of 500 = 160

Difference = 305 - 160 = 145

5 0
2 years ago
Find the volume of a pyramid 5 yards tall if the base is a rectangle 15 feet by 6 feet.
BaLLatris [955]
V=lwh/3=5*15*6/3=160
3 0
2 years ago
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The graph of f(x) = x6 – 2x4 – 5x2 + 6 is shown below.
DochEvi [55]

Answer:

There are two rational roots for f(x)

Step-by-step explanation:

We are given a function

f(x) = x^6-2x^4-5x^2+6

To find the number of rational roots for f(x).

Let us use remainder theorem that when

f(a) =0, (x-a) is a factor of f(x) or x=a is one solution.

Substitute 1 for x

f(1) = 1-2-5+6=0

Hence x=1 is one solution.

Let us try x=-1

f(-1) = 1-2-5+6 =0

So x =-1 is also a solution and x+1 is a factor

We can write f(x) by trial and error as

f(x) = (x-1)(x+1)(x^2-3)

We find that f(x) (x^2-3) factor gives two irrational solutions as

±√3.

Hence number of rational roots are 2.

5 0
2 years ago
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A right rectangular prism and an oblique triangular prism are both 12 centimeters tall and have the same volume. What statement
Bas_tet [7]
This is the concept of volumes of solid figures, given that the height of the right rectangular prism and the oblique triangular prism are 12 cm and both prisms have the same volume, we can conclude that:
Horizontal cross-sections of the prisms at the same height have the same area.
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2 years ago
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Which sentence describes why polygon MNOP is congruent to polygon JKLP?
bogdanovich [222]

Answer:

Option B.

Polygon JKLP maps to polygon MNOP through a rotation.

Step-by-step explanation:

The picture of the question in the attached figure

we know that

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

In this problem

JK≅MN

KL≅NO

LP≅OP

JP≅MP

and

∠OPM≅∠LPJ

∠NOP≅∠KLP

∠ONM≅∠LKJ

∠NMP≅∠KJP

so

Polygon JKLP maps to polygon MNOP through a rotation clockwise around point P an angle equal to ∠JPM

3 0
2 years ago
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