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3 years ago

Find the simplified form of the expression. Given your answer in scientific notation (8 x 10^4)(9 x 10^8)

1 answer:

6 0

$(8 \times {10}^{4} )(9 \times {10}^{8} ) \\ = 8 \times 9 \times {10}^{4} \times {10}^{8 } \\ = 72 \times {10}^{4 + 8} \\ = 7.2 \times 10 \times {10}^{12} \\ = 7.2 \times {10}^{13}$

This is the answer with step by step explanation

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Vector u has initial point at (3, 9) and terminal point at (–7, 5). Vector v has initial point at (1, –4) and terminal point at

spin [16.1K]

Answer:

⟨-5, -1⟩

Step-by-step explanation:

Vector:

A vector is given by its endpoint subtracted by its initial point.

Vector u has initial point at (3, 9) and terminal point at (–7, 5)

Then

$u = (-7, 5) - (3,9) = (-7 - 3, 5 - 9) = (-10,-4)$

Vector v has initial point at (1, –4) and terminal point at (6, –1).

Then

$v = (6,-1) - (1,-4) = (6-1,-1-(-4)) = (5,3)$

What is u + v in component form?

$u + v = (-10,-4) + (5,3) = (-10+5,-4+3) = (-5,-1)$

⟨-5, -1⟩ is the answer.

3 0

2 years ago

Jay needs 19 quarts more paint for the outside of his barn than for the inside. If he uses 107 quarts in all, how many gallons o

love history [14]

Let's use q to represent the number of quarts needed.

you would have the following:

2q= 107-19
2q=88
q=44
44 is the number of quarts in a in the barn.
Now you have to divide that number by 4 to get gallons because there is 4 quarts in a gallon.
There are 11 gallons of paint.

6 0

3 years ago

F(x + 1) = 2x + 1<br> g(x + 1) = x-5<br> > (fog)(2) = ?

My name is Ann [436]

Can you provide me with a picture so that I can help you answer this question?

8 0

3 years ago

Please help giving brain liest if correct

MissTica

Answer:

196 gal/minute

Step-by-step explanation:

divide the time by the amount of gallons

8 0

3 years ago

Read 2 more answers

Enny White is shopping for CDs. She decides to purchase 3 movie soundtracks. The music store has 7 different movie soundtracks i

Gala2k [10]

Answer:

35 different selections of soundtracks are possible

Step-by-step explanation:

Total number of soundtracks available at the store = 7

Enny decides to purchase 3 movie soundtracks.

So, in this problem we have to find in how many ways can Enny chose 3 soundtracks out of 7. The order in which the soundtracks are chosen does not matter e.g soundtracks A,B and C are the same as soundtracks B,C and A.

In an arrangement when the order does not matter, we use combinations to find the total possible number of arrangements or selections.

So, for this problem choosing 3 soundtracks out of 7 means forming combinations from 7 objects taken 3 at a time. This can be represented mathematically as:

$^{7}C_{3}$

The general formula for combinations is:

$^{n}C_{r}=\frac{n!}{r!\times(n-r)!}$

Using the values, we get:

$^{7}C_{3}=\frac{7!}{3!\times(7-3)!} =35$

This means, Enny can make 35 different selections of soundtracks.

7 0

3 years ago