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igor_vitrenko [27]
3 years ago
7

A company produces boxes of dvds of a rate at 52 boxes per hour. they begin to produce boxes when they first open for the day an

d after 3 hours they have 404 boxes in stock.
Write a linear model for the amount of boxes b, as a function of the number of hours as they opened,h, Use your model to predict the number of boxes in stock at the end of an 8 hour shift
Mathematics
1 answer:
zvonat [6]3 years ago
7 0

Answer:

284 boxes

Step-by-step explanation:

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Abigail and Spencer calculate the slope of the line between the points (3,-1) and (5,4) in different ways. Abigail calculates th
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8 0
3 years ago
The legs of the drafting table form vertical angles. Find the measures of ∠1, ∠2 and ∠3.
Leviafan [203]

Answer:

m∡1 = 95°

m∡2 = 85°

m∡3 = 95°

Step-by-step explanation:

m∡1 + 85 = 180;   m∡1 = 95°

m∡2 = 85° because it is vertical and congruent to the angle measured 85°

m∡3 = m∡1 = 95° because they are vertical and congruent

4 0
3 years ago
Read 2 more answers
An iron ball is bobbing up and down on the end of a spring. The maximum height of the ball is 50 centimeters and its minimum hei
ololo11 [35]

Answer:

Step-by-step explanation:

Let us examine all options:

(a)

Lets verify for t = 0:

h(t = 0) = 7

This isn't allowable as 14 cm is the lower limit for the ball's motion.

This is rejected.

(b)

Let's verify for t = 0:

h(t = 0) = 14

Since at t = 0 sec, the ball is at its minimum, after 2 seconds, it should be at its maximum.

But h(t = 2) = 14, which doesn't satisfy the condition.

Hence, this is rejected.

(c)

Now, let's see at what time instance, the ball is at minimum in this case:

h(t) = 14 = 18sin(πt) + 32

∴ sin(πt) = -1

∴ πt = 3π/2

∴ t = 3/2 seconds

Hence, after 2 seconds, i.e. at 3.5 seconds, the ball should be at its maximum.

h(t = 3.5) = 18sin(3.5π) + 32 = -18 + 32 = 14, which doesn't satisfy the condition.

Hence, this is rejected,

(d)

Now, let's see at what time instance, the ball is at minimum in this case:

h(t) = 14 = 18sin(πt/2) + 32

∴ sin(πt/2) = -1

∴ πt/2 = 3π/2

∴ t = 3 seconds

Hence, after 2 seconds, i.e. at 5 seconds, the ball should be at its maximum.

h(t = 5) = 18sin(5π/2) + 32 = 18 + 32 = 50, which satisfies the condition.

Hence, option (D) is the right answer

6 0
3 years ago
What is the approximate total percent off when you buy something at "An extra 20% off of 40% off"?
Georgia [21]

Answer:

48%

Step-by-step explanation:

let's say the initial price of an item is $100

if you take 40% off then you pay only $60

now if you take 20% off 60 you pay $48

$48 is 48% of 100

8 0
3 years ago
How many feet long is the fence ?
grandymaker [24]

Answer:

50 feet long

Step-by-step explanation:

Use the Pythagorean theorem to find the value of the missing side. The pythagoreon theorem only works with right triangles such as this one.

a²+b²=c²

Where a and b are length of legs (sides) of a triangle. And c is the length of the hypotenuse. The hypotenuse is the side across from the right angle.

We know by looking at the image posted in the question, that one leg of the triangle is 14 feet. And another leg is 48 feet. (Length of picnic area) (length of campground)

14²+48²=c²

Simplify

196+2304=2500

Find square root of 2500

√(2500)=50

So 14²+48²=50²

The missing side is 50 feet long. The fence is 50 feet long.

Attached is another example.

7 0
3 years ago
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