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salantis [7]
3 years ago
11

From sea level, a submarine descends 92.5 meters every minute. In 15 minutes, how many meters will the submarine be from its sta

rting position?
Mathematics
1 answer:
vladimir2022 [97]3 years ago
8 0

Answer:

1387.5 meters

Step-by-step explanation:

Sea level is 0

it descends 92.5 m every minute

so the equation will be d=0-92.5m where d is distance and m is minutes

so you want to find out how far it will be after 15 minutes - substitute

d=0-92.5(15)

simplify

d=0-1387.5

solve for d

d=-1387.5

the submarine will 1387.5 meters from its starting position

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a textbook company ships its books in boxes that can hold 30 pounds. one particular order calls for a shipment of 800 books. if
Pachacha [2.7K]

83 boxes are required to carry 800 books.

According to the question:

One Box can hold weight = 30 pounds

We know that ,  1 pound= 0.45 kg

hence, 30 pounds = 30 x 0.45 = 13.5kg  

hence,  one box can carry 13.5 kg of weight.

Now,

Weight of 1 book = 1.4 kg

So, Total Weight of 800 books= 1.4 x 800 kg

And , No. of boxes required to carry 800 books = (1.4 x 800)/13.5 = 82.96

                                                                             or approximately 83 boxes

Hence, 83 boxes are required to carry 800 books.

Learn more about Unitary Method at :

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4 0
1 year ago
Given a long algebraic equation, what are some strategies that you can use to make simplifying and evaluating the equation more
krok68 [10]

Answer:

See explanation

Step-by-step explanation:

Given a long algebraic equation, the like terms can be collected. When you collect like terms, you reduce the length of the algebraic equation.

After that, you can factorize the equation where possible. When you factorize the equation. It becomes quite easier to solve it efficiently.

6 0
3 years ago
The main cable of a suspension bridge forms a parabola, described by the equation y = a(x - h)2 + k, where y is the height in fe
nirvana33 [79]
Refer to the diagram shown below.

When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15            (1)

Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6                 (2)
a(90 - h)² + k = 6          (3)

From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.

From (1) and (2), obtain
225a + k = 15
2025a + k = 6

Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft

Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125 

A graph of the solution verifies that the solution is correct.

6 0
3 years ago
Read 2 more answers
A recent survey of 50 executives who were laid off during a recent recession revealed it took a mean of 26 weeks for them to fin
g100num [7]

Answer: (24.28,\ 27.72)

Step-by-step explanation:

Given : Sample size : n=50

Sample mean : \overline{x}=26

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Significance level : \alpha=1-0.95=0.05

Critical value : z_{\alpha/2}=1.96

Formula to find the confidence interval for population mean :-

\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=26\pm(1.96)\dfrac{6.2}{\sqrt{50}}\\\\\approx26\pm1.72\\\\=(26-1.72,\ 26+1.72)\\\\=(24.28,\ 27.72)

Hence, a 95% confidence interval for the population mean = (24.28,\ 27.72)

6 0
2 years ago
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docker41 [41]

Answer:

24

Step-by-step explanation:

add 6+6 then 9+3 then both will equal 12 then add both to get 12 + 12 = 24

5 0
2 years ago
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