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Radda [10]
4 years ago
7

The diameter of a human hair is 9 \cdot 10^{-5}9?10 ?5 9, dot, 10, start superscript, minus, 5, end superscript meters. The diam

eter of a spider's silk is 3 \cdot 10^{-6}3?10 ?6 3, dot, 10, start superscript, minus, 6, end superscript meters. How much greater is the diameter of a human hair than the diameter of a spider's silk? Write your answer in scientific notation.
Mathematics
1 answer:
pishuonlain [190]4 years ago
8 0

Answer:

 8.7 \times 10^{-5}

Step-by-step explanation:

Given that the diameter of a human hair

Given that the diameter of a spider's silk

Now we have to find how much greater is the diameter of a human hair than the diameter of a spider's silk. To find that we just need to subtract the given numbers. Since powers are not same so let's make them equal now we can easily subtract the coefficients that is 3 from 9  = (90-3) \times 10^{-6}

= 87 \times 10^{-6}

= 8.7 \times 10^{-5}

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Divide 8x³- 8x⁴-14x³+14x²-4x+4 by 2x²-4 <br>​
Elanso [62]

Answer:

=14

Step-by-step explanation:

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8 0
2 years ago
Sam needs an average of 65 on his two sentence test he scored 60 on his first test what is the minimum grade he needs on his sec
Ksenya-84 [330]
The minimum Sam need to get is a 70.

70 + 60 = 130
130/2 = 65
4 0
3 years ago
Consider the polynomial p(x) = x^3 + 4x^2 + 6x − 36.
Nady [450]

Answer:

a. attached graph; zero real: 2

b. p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)

c. the solutions are 2, -3-3i and -3+3i

Step-by-step explanation:

p(x) = x³ + 4x² + 6x - 36

a. Through the graph, we can see that 2 is a real zero of the polynomial p. We can also use the Rational Roots Test.

p(2) = 2³ + 4.2² + 6.2 - 36 = 8 + 16 + 12 - 36 = 0

b. Now, we can use Briott-Ruffini to find the other roots and write p as a product of linear factors.

2 |  1     4     6    -36

     1      6    18     0

x² + 6x + 18 = 0

Δ = 6² - 4.1.18 = 36 - 72 = -36 = 36i²

√Δ = 6i

x = -6±6i/2 = 2(-3±3i)/2

x' = -3-3i

x" = -3+3i

p(x) = (x - 2)(x + 3 + 3i)(x + 3 - 3i)

c. the solutions are 2, -3-3i and -3+3i

4 0
3 years ago
A computer consulting firm presently has bids out on three projects. Let Ai = {awarded project i}, for i = 1, 2, 3, and suppose
Karo-lina-s [1.5K]

Step-by-step explanation:

The data below is what was provided in the question and it is what I solved the question with

P(A1) = 0.23

P(A2) = 0.25

P(A3) = 0.29

P(A1 n A2 ) = 0.09

P(A1 n A3) = 0.11

P(A2 n A3) = 0.07

P(A1 n A2 n A3) = 0.02

a

P(A2|A1) = P(A1 n A2)/P(A1)

= 0.09/0.23

= 0.3913

We have 39.13% confidence that event A2 will occur given that event A1 already occured

b.)

P(A3 n A3|A1) = P(A2 n A3)n A1)/P(A1)

= 0.02/0.23

= 0.08695

We have about 8.7% chance of events A2 and A3 occuring given that A1 already occured.

C.

P(A2 u A3|A1)

= P(A1 n A2)u(A1 n A3)/P(A1)

= P( A1 n A2) + P(A1 n A3) - P(A1 n A2 n A3) / P(A1)

= (0.09+0.11-0.02)/0.23

= 0.18/0.23

= 0.7826

We have 78.26% chance of A2 or A3 happening given that A1 has already occured.

6 0
3 years ago
What is a name for the marked angle?<br> Choose 1 answer:<br> BAE<br> BAC<br> CAD<br> ADC
Ipatiy [6.2K]

Answer:

Cad

Step-by-step explanation:

I'm sure is a correct answer

4 0
3 years ago
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