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Brut [27]
3 years ago
15

Mary stated that 2.01 x 10⁶ is less than 4.8 x 10⁴ because 2.01 is less than 4.8. what was mary's mistake ?

Mathematics
1 answer:
katrin [286]3 years ago
4 0

Answer:

Step-by-step explanation:

Scientific notation is always written as a number between 1 and 9.9999999 repeating. There follows a power of 10. I'm not sure which answer would help you see it clearer but

4.8 * 10^4 the decimal is shifted 4 places the right which is 48000 where you have no numbers, you use zeros.

2.01 * 10^6 means that you shift the decimal 6 places to the right.

2010000

So 2 million is larger than 48 thousand.

The other way to do it is just to look at the power. 6 is more than 4. 6 describes the number of places you move. So does 4. 6>4 so that's the larger number.

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4x - 9 = 6 - X<br> What is the answer please
vodka [1.7K]

collect the like terms

4x - 9 = 6-x

4x + x= 6+9

and then complete the equation

5x = 6 + 9

5x = 15

x = 15 ÷ 5

x = 3

4 0
3 years ago
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5 to the fourth power times (5 to the negative 3rd power) and 2
VARVARA [1.3K]

What does the and 2 mean? Does it mean times two or plus two?

Step-by-step explanation:

5 0
4 years ago
A particle sits on a smooth surface and is acted upon by a time dependent horizontal force, giving it an
garik1379 [7]

(a) By the fundamental theorem of calculus,

<em>v(t)</em> = <em>v(0)</em> + ∫₀ᵗ <em>a(u)</em> d<em>u</em>

The particle starts at rest, so <em>v(0)</em> = 0. Computing the integral gives

<em>v(t)</em> = [2/3 <em>u</em> ³ + 2<em>u</em> ²]₀ᵗ = 2/3 <em>t</em> ³ + 2<em>t</em> ²

(b) Use the FTC again, but this time you want the distance, which means you need to integrate the <u>speed</u> of the particle, i.e. the absolute value of <em>v(t)</em>. Fortunately, for <em>t</em> ≥ 0, we have <em>v(t)</em> ≥ 0 and |<em>v(t)</em> | = <em>v(t)</em>, so speed is governed by the same function. Taking the starting point to be the origin, after 8 seconds the particle travels a distance of

∫₀⁸ <em>v(u)</em> d<em>u</em> = ∫₀⁸ (2/3 <em>u</em> ³ + 2<em>u</em> ²) d<em>u</em> = [1/6 <em>u</em> ⁴ + 2/3 <em>u</em> ³]₀⁸ = 1024

7 0
3 years ago
Which coordinate pair is the best estimate of the point of intersection in this graph?
alexandr402 [8]

Answer:

A

Step-by-step explanation:

The intersection is made when the red and blue line meet. If you make a mark down that looks like 1.5 and if you go up to your y axis the coordinate is 3/4 around the one since it is not over the one.

4 0
3 years ago
Brittany graphs the point (6,3) on a coordinate grid. Which describes where she
Daniel [21]

Answer:

D. 6 units to the right and 3 units up

Step-by-step explanation:

Given

Point (6,3)

Required

Position of the point.

The general format if a coordinated grid is (x,y)

Where x and y represent the x and y axis respectively

The following conditions are to be considered when positioning a point on a coordinate grid.

1. If x is positive, then it points to the right;

2. If x is negative, then it points to the left

3. If y is positive, then it points upwards

4. If y is negative, then it points downwards

Having said this;

By comparison

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x and y are both positive.

Condition 1 and 3 above are satisfied.

Hence, the grid coordinates is 6 units to the right and 3 units upwards.

Option D is correct and others are incorrect

6 0
4 years ago
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