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nikklg [1K]
2 years ago
6

The bed of a pickup truck measures 4 feet by 8 feet to the nearest inch, what is the length of the longest thin metal bar that w

ill lie flat in the bed
Mathematics
1 answer:
Helga [31]2 years ago
4 0

The bed of the truck is a rectangle, 4-ft wide and 8-ft long.

The diagonal of the rectangle is

                                 √ (4² + 8²)

                             =  √ (16 + 64)

                             =  √ (80)

                             =  8.9442... feet 

                        8.9442... feet =  8 feett  11.33 inches

Rounded to the nearest inch:    8 ft  11 in .   

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Solve it every process
Naily [24]

g(x) = 2x + 3

f(x) = x^2 + 7


g(f(x)) = 2(x^2 + 7) + 3

g(f(x)) = 2x^2 + 14 + 3

g(f(x)) = 2x^2 + 17


when g(f(x)) = 25 then

2x^2 + 17 = 25

2x^2 - 8 = 0

2(x^2 - 4) = 0

2(x+2)(x-2) = 0

x + 2 = 0; x = -2

x - 2 = 0; x = 2


Answer

x = 2 or - 2


5 0
2 years ago
Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $32.50 today.
barxatty [35]

Answer:

524.96 − 32.50 + x ≥ 500

Amount need to deposit = $7.54

Step-by-step explanation:

Given:

Amount in checking account = $524.96

Maintain amount = $500

Amount of check = $32.50

Find:

Amount need to deposit

Computation:

Assume, amount need to deposit = x

So,

For avoiding fee

524.96 − 32.50 + x ≥ 500

x = 7.54

Amount need to deposit = $7.54

4 0
2 years ago
A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the l
iren [92.7K]

Answer:

0.2611

Step-by-step explanation:

Given the following information :

Normal distribution:

Mean (m) length of time per call = 3.5 minutes

Standard deviation (sd) = 0.7 minutes

Probability that length of calls last between 3.5 and 4.0 minutes :

P(3.5 < x < 4):

Find z- score of 3.5:

z = (x - m) / sd

x = 3.5

z = (3.5 - 3.5) / 0.7 = 0

x = 4

z = (4.0 - 3.5) / 0.7 = 0.5 / 0.7 = 0.71

P(3.5 < x < 4) = P( 0 < z < 0.714)

From the z - distribution table :

0 = 0.500

0.71 = very close to 0.7611

(0.7611 - 0.5000) = 0.2611

P(3.5 < x < 4) = P( 0 < z < 0.714) = 0.2611

3 0
2 years ago
Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the
Sindrei [870]

Answer:

y=-\frac{3}{4}x+36

Step-by-step explanation:

Givens

  • The railing will begin at 36 inches height.
  • The slant decreases 9 inches for every 12 horizontal inches.

According to the problem, the slant is

m=-\frac{9}{12}=-\frac{3}{4}

The initial condition of the function is 36, which is a constant. Also, the slant is negative, because the problem states that "decreases".

If we see the problem form the perspective of a linear function, the constant ratio of change would be the slant.

Therefore, the linear function that models this problem is

y=-\frac{3}{4}x+36

So, the answer is the first choice.

3 0
2 years ago
Read 2 more answers
My cupcake recipe makes $12$ cupcakes and requires $1\frac12$ sticks of butter. I can only buy whole sticks of butter. How many
andre [41]

Answer:

Given that,

My cupcake recipe makes $12$ cupcakes and requires $1\frac12$ sticks of butter. I can only buy whole sticks of butter.

Therefore, 1 whole sticks of butter is enough to make $100$ cupcakes.




8 0
2 years ago
Read 2 more answers
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