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3 years ago

How do I do this. I don’t understand how to move place values

Mathematics

1 answer:

Drupady [299]3 years ago

5 0

For this case we must indicate the value of the following expression, expressed in scientific notation:

$(1.2 * 10^{-3}) * (1.1 * 10^{8}) =$

We have that for multiplication properties of powers of the same base, the same base is placed and the exponents are added:

$a ^ n * a ^ m = a ^ {n + m}$

Then, rewriting the expression we have:

$(1.2 * 1.1) * 10 ^{- 3 + 8} =\\1.32 * 10 ^ 5$

Answer:

$1.32 * 10 ^ 5$

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You are a traffic accident investigator. You have arrived at the scene of an accident. Two trucks of equal mass (3,000 kg each)

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Answer:

1) Kinetic energy of the truck 1 is 600,000 joules.

Kinetic energy of the truck 2 is 1,837,500 joules.

2 a)Potential energy of truck 1 is 646,800 Joules.

b) Energy lose by the truck 1 just got converted into heat and sound energy during the collision.

Step-by-step explanation:

Mass of the truck 1 and truck 2,m = 3000 kg

Velocity of the truck 1, $v_1$ = = 20 m./s

Velocity of the truck 2, $v_2$ = 35 m./s

1. Kinetic energy of the truck 1: $\frac{1}{2}mv_{1}^2=\frac{1}{2}\times 3000 kg\times (20 m/s)^=600,000 joules$

Kinetic energy of the truck 2: $\frac{1}{2}mv_{2}^2=\frac{1}{2}\times 3000 kg\times (35 m/s)^=1,837,500 joules$

2.a) Energy loose by the truck 1:

Initial height of the truck on the hill = 22 m

At that height potential energy will be maximum:

Potential energy of truck 1 at that height = $mgh=3000\times 9.8 m/s^2\times 22 m=646,800 Joules$

b) Energy lose by the truck 1 just got converted into heat and sound energy during the collision.

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3 years ago

Assume the line between (-4, 4) and (-4, -4) will form one side of a right triangle. When (-4, 4) is reflected over both axes to

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Answer:

Step-by-step explanation:

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95% = 0.95

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3 years ago

Lena is 10 years old. She asks her dad how old he is. He tells her that the lowest common multiple of their ages is 14 times the

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Answer:

Step-by-step explanation:

We know the factors of Lena's age are 2 and 5. The least common multiple must have these factors and the factors of 14, so will at least have factors of 2, 5, and 7.

Apparently, the dad's age is 5·7 = 35.

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The GCF is 5; the LCM is 70 = 5×14.

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Sometimes, I use a little 3-part diagram to think about LCM and GCF. Here, it would look like ...

(2 [5) 7]

where the numbers in curved brackets (2·5) and the numbers in square brackets [5·7] are factors of the two numbers of concern (Lena's age, her dad's age). The middle number in both brackets [5) is the greatest common factor, and the product of all three numbers is their least common multiple.

Here, the product of outside numbers, 2·7 = 14, represents the ratio of the LCM to the GCF. We know that Lena's age has factors of only 2 and 5, so the numbers in the diagram have to be (2[5)7], where 2 and 7 are on the ends and 5 is in the middle.

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