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3 years ago

10

8. find the simplified form of the expression. give your answer in scientific notation. (3 x 10^6) (8 x 10^-4) a) 1.1 x 10^3 b)

2.4 x 10^3 c) 1.1 x 10^-23 d) 2.4 x 10^-23

1 answer:

andrew-mc [135]3 years ago

5 0

(3 x 10^6)(8 x 10^-4) = (3 x 8) x 10^(6 - 4) = 24 x 10^2 = 2.4 x 10^3

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(Please show all work)

Lunna [17]

The answers here are

2) x= 2, 7

3) x= -5

7 0

3 years ago

Find the angle between the given vectors to the nearest tenth of a degree. u = , v = (2 points)

Liono4ka [1.6K]

Answer:

<h2>3.6°</h2>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the angle between the given vectors to the nearest tenth of a degree.

u = <8, 7>, v = <9, 7>

we will be using the formula below to calculate the angle between the two vectors;

$u*v = |u||v| cos \theta$

$\theta$ is the angle between the two vectors.

u = 8i + 7j and v = 9i+7j

u*v = (8i + 7j )*(9i + 7j )

u*v = 8(9) + 7(7)

u*v = 72+49

u*v = 121

|u| = √8²+7²

|u| = √64+49

|u| = √113

|v| = √9²+7²

|v| = √81+49

|v| = √130

Substituting the values into the formula;

121= √113*√130 cos θ

cos θ = 121/121.20

cos θ = 0.998

θ = cos⁻¹0.998

θ = 3.6° (to nearest tenth)

Hence, the angle between the given vectors is 3.6°

5 0

3 years ago

The list price of a diamond ring is $662. The jeweler is offering a chain discount of 15% less 10%. What is the final net price

Tom [10]

Your answer is 506.44.

multiply 662 x .10 now minus that answer from 662 to get 595.80

now multiply that by .15

now minus that by 595.80

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4 0

3 years ago

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Rzqust [24]

Answer:

The rate of the plane is 862 miles per hour

Step-by-step explanation:

An airplane travels 6903 kilometers against the wind in 9 hours.

Speed = distance / time

Speed of the airplane while travelling against the wind is

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The airplane travelled 8613 kilometers with the wind in the same amount of time. This means that the speed while travelling with the wind will be

8613/9 = 957 miles per hour

Let x = speed of the airplane

Let y = speed of the wind

While travelling against the wind,

x - y = 767 - - - - - -- 1

While travelling with the wind,

x + y = 957 - - - - - - -2

Subtracting equation 2 from equation 1,

-y - y = 767 - 957

-2y = -190

y = -190/-2

y = 95 miles per hour

x = 957 - y

x = 957 - 95

x = 862 miles per hour

4 0

3 years ago

working together, shawn and hector can install a tile floor in 6 hours. it would take shawn 9 hours to do the job alone. what is

Vikki [24]

First, let x be the number of hours it will take for Hector to finish the same job alone. This means that every hour, Hector can do 1/x of the job. The amount of work done by Shawn and Hector in 6 hours should be equal to 1 complete work. This can be expressed as,
(1/9 + 1/x)(6) = 1
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8 0

3 years ago

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