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3 years ago

Doria swam the 100-meter backstroke in 58.329 second. How do you express this time in words.show your work:

Mathematics

1 answer:

alex41 [277]3 years ago

7 0

To solve this problem you must apply the proccedure shown below:

1. You have that the time, given in the problem above, is written in decimal form.

2. To express this time in words, you must begin from left to right. First, write the digits before the point (58) and after the points (329) as whole numbers. Then, finish it writting the place name of the last digit, as following:

(Note: The point is expressed as "and").

58.329: Fifty eigth and three hundred twenty nine thousandths.

Therefore, the answer is: Fifty eigth and three hundred twenty nine thousandths.

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2x^3-x^2+x-2 factorize

bekas [8.4K]

Answer:

$(x-1)(2x^2+x+2)$

Step-by-step explanation:

Factorize:

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

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

$\implies f(1)=2(1)^3-1^2+1-2=0$

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

$\implies f(x)=(x-1)(ax^2+bx+c)$

Expanding the brackets:

$\implies f(x)=ax^3+bx^2+cx-ax^2-bx-c$

$\implies f(x)=ax^3+(b-a)x^2+(c-b)x-c$

Comparing coefficients with the original polynomial:

$\implies ax^3=2x^3 \implies a=2$

$\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1$

$\implies -c=-2 \implies c=2$

Therefore:

$\implies f(x)=(x-1)(2x^2+x+2)$

Cannot be factored any further.

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2 years ago

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What percentage of the audience from the 16-25 age group gave the movie a poor rating? 6.19% 10.00% 25.34% 15.70% 16.22%

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We have to find what percent of the audience from the 16-25 age group gave the movie poor rating. There were 113 viewers from this group. There were 7 of them that gave the movie poor rating. We will use the proportion: 113 / 7 = 100% / x% . Then we will cross multiply: 113 x = 700; x = 700 : 113; x = 6.19%. Answer: A ) 6.19%.

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3 years ago

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Given: circle k(O) m∠R = (12x+1)mFP = (11x+7) mPQ= 60Find: mFP

zhannawk [14.2K]

Answer:

62°

Step-by-step explanation:

The angle R inscribes the arc FQ, so using the property of inscribed angles in a circle, we have that:

m∠R = mFQ / 2

The arc FQ is the sum of the arcs FP and PQ, so we have:

mFQ = mFP + mPQ = 11x + 7 + 60 = 11x + 67