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KengaRu [80]
3 years ago
8

What is 412,639 rounded to the nearest thousand

Mathematics
1 answer:
MariettaO [177]3 years ago
6 0

Answer:

413,000

Step-by-step explanation:

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A small college needs two additional faculty members: a chemist and a statistician. There are five applicants for the chemistry
Mrac [35]

Answer:

15 ways

Step-by-step explanation:

The events "choosing one out of 5 chemists" and "choosing one out of 3 statisticians" are independent, and, therefore, the number of ways that both positions can be filled is determined by the product of the number of ways that each event can occur:

n=3*5 =15\ ways

The college can fill these positions in 15 different ways.

3 0
3 years ago
Jacob wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence
Citrus2011 [14]

Jacob wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn,so he needs no fence on that side.

Let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn).

one side of the length is not counted for perimeter because one side of length will be against the barn.

Perimeter = 400 ft

Perimeter of rectangle = L + W + W

400 = L + 2W

L = 400 - 2W

Area = L * W

Replace L by  400 - 2W

A(W) =  (400 - 2W) * W

A(W) = -2W^2 + 400W

Now we find out x coordinate of vertex to find the width that maximize the area

W = \frac{-b}{2a}

a= -2 and b = 400

W = \frac{-(400)}{2(-2)}=100

The width  w would maximize the area is w = 100ft

To find maximum area we plug in 100 for W in A(W)

A(W) = -2W^2 + 400W

A(W) = -2(100)^2 + 400(100)= 20000

the maximum area is 20,000 square feet

6 0
3 years ago
What is the measure of A
Art [367]

Answer:

66+x=180°

=180°-66°

=114°

4 0
3 years ago
Grace was driving down a road and after 4 hours she had traveled 66 miles. At this speed, how many miles could Grace travel in 8
umka2103 [35]

Answer:

132 miles

Step-by-step explanation:

4 is half of 8 so you just have to multiple everything by 2 to get your answer

6 0
2 years ago
Read 2 more answers
A broken calculator can double any number or permute its digits (but 0 cannot go up front). Can we start with number 1 and obtai
stira [4]

Answer: it's impossible to obtain 78

Step-by-step explanation: Since the calculator can double any number or permute its digits except 0 

starting with number 1 

1, 2, 4, 8, 16, 32, 64, 128

Therefore, it's impossible to obtain 78 by a series of these operations

8 0
2 years ago
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