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lys-0071 [83]
3 years ago
14

Recall the shipping box scenario from the Introduction. As an employee of a sporting goods company, you need to order shipping b

oxes for bike helmets. Each helmet is packaged in a box that is n inches wide, n inches long, and 8 inches tall. The shipping box you order should accommodate the boxed helmets along with some packing material that will take up an extra 2 inches of space along the width and 4 inches of space along the length. The height of the shipping box should be the same as the helmet box. The volume of the shipping box needs to be 1,144 cubic inches. The equation that models the volume of the shipping box is 8(n + 2)(n + 4) = 1,144.
Mathematics
1 answer:
7nadin3 [17]3 years ago
8 0

Answer:

The dimensions of the helmet box are as follows

Width is 9 inches

Length is 9 inches

Height is 8 inches

The dimensions of the shipping box ordered are as follows;

Width is 11 inches

Length is 13 inches

Height is 8 inches

Step-by-step explanation:

8(n + 2)(n + 4) = 1144

8·n² + 48·n + 64 = 1144

8·n² + 48·n - 1080 = 0

8×(n - 9)×(n + 15) = 0

∴ n = 9 or -15 inches

The dimensions of the helmet box are as follows

Width = 9 in.

Length = 9 in.

Height = 8 in.

The dimensions of the shipping box ordered are as follows;

Width = 9 + 2 = 11 in.

Length = 9 + 4 = 13 in.

Height = 8 in.

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The tires on a new compact car have a diameter of 2.0 ft and are warranted for 63,000 miles. (a) Determine the angle (in radians
Damm [24]

Answer:

Tire will be warranted for 3.326\times 10^8radian

Step-by-step explanation:

We have given that tire is warranted for 63000 miles

We know that 1 mile = 5180 feet

So 63000miles=63000\times 5280=3.3264\times 10^8feet

Diameter is given d = 2 feet

So radius r=\frac{d}{2}=1feet

Angular distance is given by \Theta =\frac{linear\ distance}{radius}=\frac{3.326\times 10^8}{1}=3.326\times 10^8radian

3 0
4 years ago
Suppose a population of 160 crickets double in size every month. The function f(x)=160*2^x gives the population after to months.
melomori [17]
First, we determine how many months are there in two years. We know that each year has 12 months. With these, there are 24 months in 2 years. Solving for the number of crickets in two months,
                           f(x)  = 160 x (2^24/2)
                                   = 655,360
Therefore, after 2 years there are 655,360 crickets. 
3 0
3 years ago
|a−b|−|c+d| , if a=−5; b=4; c=1; d=−3
Eva8 [605]

Answer:

7

Step-by-step explanation:

4 0
4 years ago
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A credit card company charges 18% simple interest for overdue accounts. How much interest will Kristen owe three months from now
Ber [7]

Answer: The amount that Kristen would owe three months from now is $67.5

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or the current balance.

R represents interest rate

T represents the duration for which the account is overdue in years.

From the information given,

P = 1500

R = 18%

T = 3 months = 3/12 = 0.25 year

I = (1500 × 18 × 0.25)/100 = $67.5

4 0
4 years ago
The values in the table represent a function.
sweet [91]

Answer:

f(-6) = 8

f(3) = -2

f(x) = -5 when x is 4

Step-by-step explanation:

* Lets explain how to solve the problem

- The table of the function has two column

# First column labeled x with entries:

  -6 , 7 , 4 , 3 , -5

# Second column labeled f(x) with entries:

   8 , 3 , -5 , -2 , 12

∴ The ordered pairs of the function f(x) are:

  (-6 , 8) , (7 , 3) , (4 , -5) , (3 , -2) , (-5 , 12)

* Lets complete the missing

∵ The value of x in the first row is -6

∵ The value of f(x) in the first row is 8

∴ The function notation in the 1st row is f(-6) = 8

- The ordered pair given in the first row of the table can be

  written using function notation as f(-6) = 8

∵ The ordered pair whose x = 3 is (3 , -2)

∴ The value of f(x) when x = 3 is -2

∴ f(3) = -2

∵ The ordered pair whose f(x) = -5 is (4 , -5)

∴ The value of x when f(x) = -5 is 4

∴ f(x) = -5 when x is 4

6 0
3 years ago
Read 2 more answers
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