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Jlenok [28]
3 years ago
10

What is the value o(f 5.3 * 10^4 ) ( 4.2*10^3) in scientific notation?

Mathematics
1 answer:
denis23 [38]3 years ago
6 0

( 5.3 * 10^4 ) ( 4.2*10^3)

Multiply the numbers and add the exponents

(5.3 * 4.2) * 10 ^ (4+3)

22.26 * 10^7

now we have to adjust since more than 1 number is in front of the decimal

2.26 * 10^(7+1)

2.26*10^8

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A jogger ran 3 miles due east of his house. then he ran 5 miles at a heading of 30o east of north (or 30o ne). how far is he fro
Natasha_Volkova [10]

Magnitude of the net displacement: 7.0 miles

Step-by-step explanation:

In order to find the total displacement of the man, we have to resolve each displacement along the x- and y- direction.

Taking x as positive x direction and y as positive north direction:

- The first motion is 3 miles due east, so

A_x = 3 mi\\A_y = 0

- The second motion is 5 miles at 30^{\circ} east of north, so:

B_x = 5 sin 30^{\circ}=2.5 mi\\B_y = 5 cos 30^{\circ}=4.3 mi

So the components of the net displacement are

R_x = A_x + B_x = 3 + 2.5 = 5.5 mi\\R_y = A_y+B_y = 0 + 4.3 = 4.3 mi

And so the magnitude of the net displacement is

d=\sqrt{R_x^2+R_y^2}=\sqrt{5.5^2+4.3^2}=7.0 mi

So, he is 7.0 miles far from the house.

Learn more about distance and displacement:

brainly.com/question/3969582

#LearnwithBrainly

4 0
3 years ago
I do not have time to help my sis so help her out ty
RoseWind [281]

Answer:

10.5 Dozens

Step-by-step explanation:

if each gingerbread man has 3, then you will be able to make 126 gingerbread mans, but you asked for dozens, so 126 gingerbread mans divided by 12, which is a dozen, will equal to 10.5 dozens

Brainliest would be appreciated, Thank you.

7 0
3 years ago
Plsss help and please dont be scammer
gladu [14]

Answer:

38 students

Step-by-step explanation:

because 19% of 205 is 38.95, but not fully 39 students, so about 38 students

6 0
3 years ago
Of 400 votes cast, olivia received 38% of the votes and michael received 116 votes. what percentage did michael receive?
ch4aika [34]
Of 400 votes cast, olivia received 38% of the votes and michael received 116 votes. what percentage
6 0
3 years ago
Let h(x) = e^(kx) + f(x),
Anestetic [448]
\bf h(x)=e^{kx}+f(x)\implies \cfrac{dh}{dx}=ke^{kx}+f'(x)
\\\\\\
\begin{cases}
x=0\\
f'(0)=-8
\end{cases} 
h'(0)=ke^{k(0)}+(-8)\implies h'(0)=k-8
3 0
4 years ago
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