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amm1812
4 years ago
13

Kale works in a packaging factory that has 900 employees. By the end of each day, they manage to package 3.2 × 105 products. Wha

t is the average amount of products packaged per employee represented in scientific notation? Round so the first factor goes to the tenths place.
A.
0.36 × 103 products
B.
3.6 × 102 products
C.
0.36 × 102 products
D.
3.6 × 103 products
E.
3.6 × 104 products​
Mathematics
2 answers:
lilavasa [31]4 years ago
8 0

Answer:

E.  

3.6 × 104 products​

Step-by-step explanation:

katen-ka-za [31]4 years ago
4 0

Answer:

Option B is the correct answer.

Step-by-step explanation:

Kale works in a packaging factory that has 900 employees.

By the end of each day, they manage to package 3.2 × 10^{5} products.

The average amount of products packaged per employee =

\frac{\text{total packaged products}}{\text{number of employees}}

= \frac{(3.2)(10^{5}) }{900}=(0.00355)(10^{5} )

= 3.6 × 10² products

Option B is the correct answer.

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Answer:

288J

Step-by-step explanation:

recall the formula for kinetic energy

KE = (1/2) mv²

where m is the mass (= 4kg)  and v is the velocity(=12 m/s)

hence

KE = (1/2) (4)(12)² = 288J

7 0
3 years ago
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Hannah earned $1536 in 8 years on an investment at a 4% annual simple interest rate. How much was Hannah’s investment? $4800 $30
Nonamiya [84]

Simple interest calculates interest on initial amount only. The investment by Hannah was : Option A: $4800

<h3>How to calculate simple interest amount if rate of interest is R% annually?</h3>

Suppose that the initial amount of investment is P

And the rate of simple interest is R% annually,

And the time of investment is T years.

Then, the amount of simple interest is calculated as:

I = \dfrac{P \times R \times T}{100}

For the given case, let the initial investment Hannah made was of $P

Then, the time of investment is T = 8 years, R% = 4%, and given that Hannah earned interest I = $1536

Putting values in the above formula, we get;

I = \dfrac{P \times R \times T}{100}\\\\1536 = \dfrac{P \times 8 \times 4}{100}\\\\P = \dfrac{153600}{32} = 4800

Thus,

The investment by Hannah was : Option A: $4800

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5 0
3 years ago
Use the grouping method to factor x³ + x² + 3x+3.
Annette [7]

Answer:

D. (x + 1)(x^2 + 3)

Step-by-step explanation:

Hello!

We can group the first two terms and the last two terms.

<h3>Factor by Grouping</h3>
  • x^2 + x^2 + 3x + 3
  • x^2(x + 1) + 3(x + 1)
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Factoring by grouping is the process of breaking down larger polynomials to smaller ones to factor. We can then combine like factors.

In the second step, we can see that we can rewrite x^3 + x^2 as x^2(x + 1), as both the two terms share a common factor of x^2. We can pull out x^2 from that expression. Similarly, 3x and 3 share a common factor of 3, so we can pull that out.

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2 years ago
Given h(x) = -X – 2, solve for x when h(x) = 3.
Naya [18.7K]
The answer should be h(3)= -5
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Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60% percent of their plants a
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