Statistically, numbers account for nearly half of all fatal collisions when the major factor is

To find the product of 42.12 and 10³, move the decimal point in 42.12 __ places to the right because 10³ has __ zeros.

Yakvenalex [24]

<h3>To find the product of 42.12 and 10^3, move the decimal point in 42.12 3 places to the right because 10^3 has 3 zeros</h3>

<em><u>Solution:</u></em>

Given that,

$\text{ product of } 42.12 \text{ and } 10^3$

Which means,

$42.12 \times 10^3$

Here, the exponent of 10 is positive ( which is 3)

When the exponent is positive, we have to move the decimal point to right

When you multiply a number by a power of 10, ( 10!, 10^2, and so on ) move the decimal point of the number to the right the same number of places as the number of zeros in the power of 10

Here, exponent is 3 , therefore move the decimal point right 3 places in 42.12

Therefore,

$42.12 \times 10^3 = 42120$

7 0

4 years ago

Nestor the clown does the face painting at the city carnival. She paints seven faces every 21 minutes and spend the same amount

Likurg_2 [28]

Answer:

21/F=M

Step-by-step explanation:

3 minutes per face so divide time and faces to get the time.

F=7 M=3

4 0

3 years ago

Please help ASAP!

Kruka [31]

First, recall that

$\sin(-\theta)=-\sin\theta$

So if $\sin(-\theta)=\dfrac15$ , then $\sin\theta=-\dfrac15$ .

Second,

$\tan\theta=\dfrac{\sin\theta}{\cos\theta}$

We know that $\tan\theta>0$ and $\sin\theta$ , which means we should also have $\cos\theta$ .

Third,

$\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\pm\sqrt{1-\sin^2\theta}$

but as we've already shown, we need to have $\cos\theta$ , so we pick the negative root.

Finally,

$\tan\theta=\dfrac{\sin\theta}{\cos\theta}\iff\dfrac6{\sqrt{12}}=\dfrac{-\frac15}{\cos\theta}\implies\cos\theta=-\dfrac1{5\sqrt3}$

Unfortunately, none of the given answers match, so perhaps I've misunderstood one of the given conditions... In any case, this answer should tell you everything you need to know to find the right solution from the given options.

6 0

3 years ago

One third of the opposite of a number is less than 12. Write and inequality.

fenix001 [56]

X= a number

The opposite of a number is its negative opposite. It's the additive inverses of a number. The additive inverse of 4 is -4. It will always equal zero when added together.

Inequality:
1/3(-x) < 12

Hope this helps! :)

3 0

3 years ago

A new game system was priced at $500 when it was introduced to the market. Over the

muminat

Answer:

FV= $436.72

Step-by-step explanation:

Giving the following information:

Initial cost (PV)= $500

Decrease rate (d)= 7% per year

Number of periods (n)= 2 years

<u>To calculate the future value after 2 years, we need to use the following formula:</u>

FV= PV / (1 + d)^n

FV= 500 / (1.07^2)

FV= $436.72

8 0

3 years ago