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matrenka [14]
3 years ago
6

A scuba diver descends in the water at a rate of 15 feet per minute for 2.6 minutes. He immediately changes course when he sees

a large fish and ascends at a rate of 28 feet per minute for 2 minutes. What is the scuba diver's position relative to sea level after the 4.6 minutes? Show your answer as a decimal.​
Mathematics
1 answer:
emmainna [20.7K]3 years ago
6 0

Answer:

{ \longrightarrow{ \sf{2.6 minutes \longleftarrow}}}

Step-by-step explanation:

Scuba diver is going downward with cetain speed for 2.6 minutes

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Help please! ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!
solmaris [256]

Answer:

x= 1/2

and y=3

Step-by-step explanation:

Let's solve your system by substitution.

y=10x−2;2x+y=4

Step: Solvey=10x−2for y:

y=10x−2

Step: Substitute10x−2foryin2x+y=4:

2x+y=4

2x+10x−2=4

12x−2=4(Simplify both sides of the equation)

12x−2+2=4+2(Add 2 to both sides)

12x=6

12x

12

=

6

12

(Divide both sides by 12)

x=

1

2

Step: Substitute

1

2

forxiny=10x−2:

y=10x−2

y=10(

1

2

)−2

y=3(Simplify both sides of the equation)

Answer:

x= 1 /2

and y

3 0
3 years ago
Lim x->pi/3 ((2cosx-1)/(tan^2x-3))
beks73 [17]

You can check that the limit comes in an undefined form:

\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\dfrac{0}{0}

In these cases, we can use de l'Hospital rule, and evaluate the limit of the ratio of the derivatives. We have:

\dfrac{\text{d}}{\text{d}x}2\cos(x)-1 = -2\sin(x)

and

\dfrac{\text{d}}{\text{d}x}\tan^2(x)-3 = 2\dfrac{\tan(x)}{\cos^2(x)}=\dfrac{2\sin(x)}{\cos^3(x)}

So, we have

\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\lim_{x\to\frac{\pi}{3}} \dfrac{-2\sin(x)}{\frac{2\sin(x)}{\cos^3(x)}}=\lim_{x\to\frac{\pi}{3}}-\cos^3(x)=-\cos^3\left(\dfrac{\pi}{3}\right)

6 0
3 years ago
Emily buys a cage and two bowls for $54. The cage cost 40$. Each bowl cost the same amount. What is the price of one bowl? Expla
Taya2010 [7]

Answer:

$7

Step-by-step explanation:

a) First let's organize the information:

    The cage cost $40

    two bowls cost the same

    the total was $54

b) Put it as an equation

    40+x+x= 54

c) we will subtract 54-40 and get 14

d) divide 14 by 2 and get 7 for the cost of each bowl.

Hope you understand it ;)

5 0
3 years ago
Write a NUMERICAL EXPRESSION for the product of 9 and 5 then subtract 15
olga_2 [115]
The answer is 9x5-15
7 0
3 years ago
9(d − 93) = –36 d = _______
goldenfox [79]

Steps to solve:

9(d - 93) = -36d

~Distribute

9d - 837 = -36d

~Subtract 9d to both sides

-837 = -45d

~Divide -45 to both sides

18.6 = d

Best of Luck!

4 0
3 years ago
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