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3 years ago

(2.5 x 10^-8) (9 x 10^-10) Express your answer in scientific notation.

Mathematics

2 answers:

KATRIN_1 [288]3 years ago

8 0

2.25 x 10^-17

I hope this helps

Marrrta [24]3 years ago

4 0

$\bf (2.5\times 10^{-8})(9\times 10^{-10})\implies (2.5\cdot 9)\times (10^{-8}\cdot 10^{-10}) \\\\\\ (22.5)\times (10^{-8-10})\implies (2.25\times 10^1)\times 10^{-18} \\\\\\ 2.25\times 10^{1-18}\implies 2.25\times 10^{-17}$

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A house was valued at $540,000 last year. The house has now appreciated and increased in

Zigmanuir [339]

Answer:

The house worth now: $540,000*(1+4%)= $561,600

Step-by-step explanation:

4 0

3 years ago

Two distinct number cubes, one red and one blue, are rolled together. Each number cube has sides numbered 1 through 6.

cestrela7 [59]

Answer:

$P(E_1 or E_2) = \frac{7}{12}$

Step-by-step explanation:

Given

Two cubes of side 1 - 6

Required

Probability that the outcome of the roll is an odd sum or a sum that is a multiple of 5

First, the sample space needs to be listed;

Let $C_r$ represent the Red cube

$C_b$ represent the Blue cube

S represent the sample space

$C_r = (1,2,3,4,5,6)\\C_b = (1,2,3,4,5,6)\\S = (2,3,4,5,6,7,3,4,5,6,7,8,4,5,6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12)$ S is gotten by getting the sum of $C_r$ and $C_b$

$n(S) = 36$

<em>Calculating the Probability</em>

Let $E_1$ represent the event that an outcome is an odd sum

$E_1 = (3,5,7,3,5,7,5,7,9,5,7,9,7,9,11,7,9,11)$

$n(E_1) = 18$

$P(E_1) = \frac{n(E_1)}{n(S)}$

$P(E_1) = \frac{18}{36}$

Let $E_2$ represent the event that an outcome is a multiple of 5

$E_2 = (5,5,5,5,10,10,10)$

$n(E_2) = 7$

$P(E_2) = \frac{n(E_2)}{n(S)}$

$P(E_2) = \frac{7}{36}$

Let $E_3$ represent the event that an outcome is an odd sum and a multiple of 5

$E_3 = E_1 and E_2$

$E_3 = (5,5,5,5)$

$n(E_3) = 4$

$P(E_3) = \frac{n(E_3)}{n(S)}$

$P(E_3) = \frac{4}{36}$

Calculating $P(E_1 or E_2)$

$P(E_1 or E_2) = P(E_1) + P(E_2) - P(E_1 and E_2)$

$P(E_1 or E_2) = P(E_1) + P(E_2) - P(E_3)$

$P(E_1 or E_2) = \frac{18}{36} + \frac{7}{36} - \frac{4}{36}$

$P(E_1 or E_2) = \frac{18 + 7 - 4}{36}$

$P(E_1 or E_2) = \frac{21}{36}$

$P(E_1 or E_2) = \frac{7}{12}$

Hence, the probability that the outcome of the roll is an odd sum or a sum that is a multiple of 5 is $\frac{7}{12}$

6 0

3 years ago

What is the temperature in degrees Celsius that is equivalent to a temperature of 40 F?

Ludmilka [50]

Hi! So given the equation you are given, you plug in 40 for F, making your equation look like this: C=(5/9)(40-32). Using PEDMAS, Subtract 32 from 40 which gives you 8 and then multiply by 8. Your answer as an improper fraction should be 40/9 which you can then reduce to 4(4/9).

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4 years ago

A trapizoid has a area of 50 square inches. The bases are 3 inches and 7 inches. What is the height of the trapizoid?

Harrizon [31]

Answer:

10 In.²

Step-by-step explanation:

Formula for height of trapezoid: 2a ÷ (b1 + b2)

B1: 3, B2: 7

Area: 50

7 + 3 = 10

50 · 2 = 100

100 ÷ 10 = 10

Height of trapezoid: 10 In.²

Check:

Formula for area of trapezoid (using height): A = (B1 + B2 / 2) · h

Base1: 3, Base2: 7

7 + 3 = 10

10 ÷ 2 = 5

5 · 10 = 50

Area = 50, therefore we know that our height is correct.

4 0

3 years ago

Solve the following exponential equations. <br> (10^x)^2 − 2(10^x) − 1 = 0

Hunter-Best [27]

Answer:

x = log(1+√2) ≈ 0.38277569

Step-by-step explanation:

Let z = 10^x. Then the equation can be rewritten ...

z^2 -2z -1 = 0

z^2 -2z +1 -2 = 0 . . . . rewrite to a form with a square

(z -1)^2 = 2 . . . . . . . . . add 2

z -1 = ±√2 . . . . . . . . . . square root

z = 1 ± √2 . . . . . . . . . . add 1

From the definition of z, we know it must be positive, so the only viable solution here is ...

z = 10^x = 1+√2

x = log(1+√2)

x ≈ 0.38277569

6 0

3 years ago