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artcher [175]
2 years ago
9

Drag the tiles to the correct boxes to complete the pairs. simplify the mathematical expressions to determine the product or quo

tient in scientific notation. round so the first factor goes to the tenths place. arrowright arrowright arrowright arrowright
Mathematics
1 answer:
Sholpan [36]2 years ago
8 0

The simplified mathematical expressions with the first factor to the nearest tenth are:

7.8 x 10

3.3 x 10^{3}

2.1 x 10^{-3}

3.7

<h3>What are the simplified mathematical expressions ?</h3>

Scientific notation is used to simplify large numbers in smaller numbers.  In order to write a number in scientific notation , the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

(8.6 x 10^{7}) . (9.1 x 10^{-8})

= (8.6 x 9.1) x 10^{7 - 8}

= 78.26 x10^{-1}

= 7.8 x 10

(6.9 x 10^{5}) . (4.8 x 10^{-3})

= 33.12 x 10^{5 - 3}

3.3 x 10^{3}

(3.7 x 10^{2}) . (4.6 x 10^{-3}) ÷ (1.4 x 10^{-6}) . (5.7 x 10^{8})

= 1.7 x 10 ÷ 8 x10²

0.21 x 10^{-2}

2.1 x 10^{-3}

(3.1 x 10^{5}) . (5.3 x 10^{-9}) ÷ (7.3 x 10^{2}) . (6.1 x 10^{-7}) = 3.7

To learn more about scientific notation, please check: brainly.com/question/25334755

#SPJ4

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Let L be a tangent line to the hyperbola x y = 2 at x = 9 . Find the area of the triangle bounded by L and the coordinate axes.
mafiozo [28]

Answer:

A = 4

Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

y = \frac{2}{x}

y'=-2\cdot x^{-2}

The numerical value of the slope is:

y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}

The component of the y-axis is:

y = \frac{2}{9}

Now, the tangent line has the following mathematical model:

y = m \cdot x + b

The value of the intercept is found by isolating it within the equation and replacing all known variables:

b = y - m \cdot x

b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}

Thus, the tangent line is:

y = -\frac{2}{81}\cdot x + \frac{4}{9}

The vertical distance between a point of the tangent line and the origin is given by the intercept.

d_{y} = \frac{4}{9}

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

-\frac{2}{81}\cdot x + \frac{4}{9}=0

-\frac{2}{9}\cdot x + 4 = 0

x = 18

d_{x} = 18

The area of the triangle is computed by this formula:

A = \frac{1}{2}\cdot d_{x}\cdot d_{y}

A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )

A = 4

4 0
4 years ago
A square in the board below and a letter in the word ATTENTION is chosen at
kolezko [41]

Answer:

4 /15

Step-by-step explanation:

From the number cube :

Count of Numbers greater than 4 = 16

Sample space of number cube = 20

P(number greater than 4) = 16 / 20 = 4/5

Word : ATTENTION

Count of letters in attention = 9

Count of T's in attention = 3

P(choosing T) = 3 / 9 = 1/3

P(greater than 4, then T) = 4/5 * 1/3 = 4 /15

5 0
3 years ago
Please help!
Musya8 [376]

Answer:

See the attachment please.

Step-by-step explanation:

Statistics!! All work is on the picture, plus the boxed answers.

5 0
3 years ago
Help on this please on 16
timama [110]

Answer:

Step-by-step explanation:B

8 0
3 years ago
Twice a number decreased by 22 is 48. What is the number?
klemol [59]

Answer:

Given - Twice a no. decrease by 22 is 48

To find - The no.

Solution -

Let the no. be X

According to the question, equation made is -

2x - 22 = 48

2x = 48 + 22

2x = 70

x = 70/2

X= 35

Verification -

35 ×2 - 22 = 48

70 - 22 = 48

48= 48

LHS = RHS

hence proved

6 0
3 years ago
Read 2 more answers
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