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irga5000 [103]
3 years ago
6

During a scuba dive, Lainey descended to a point 23 feet below the ocean surface. She continued her

Mathematics
1 answer:
abruzzese [7]3 years ago
8 0

t (23) ≤ 97 - 23

The minus 23 at the back represents the feet she already descended before what the question wants us to calculate

≤ is used instead of < because it states more than, not "equal or more than" (meaning 97 sharp is fine)

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Solve the initial value problem: y'(x)=(4y(x)+25)^(1/2) ,y(1)=6. you can't really tell, but the '1/2' is the exponent
goblinko [34]

Answer:

y(x)=x^2+5x

Step-by-step explanation:

Given: y'=\sqrt{4y+25}

Initial value: y(1)=6

Let y'=\dfrac{dy}{dx}

\dfrac{dy}{dx}=\sqrt{4y+25}

Variable separable

\dfrac{dy}{\sqrt{4y+25}}=dx

Integrate both sides

\int \dfrac{dy}{\sqrt{4y+25}}=\int dx

\sqrt{4y+25}=2x+C

Initial condition, y(1)=6

\sqrt{4\cdot 6+25}=2\cdot 1+C

C=5

Put C into equation

Solution:

\sqrt{4y+25}=2x+5

or

4y+25=(2x+5)^2

y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}

y(x)=x^2+5x

Hence, The solution is y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4} or y(x)=x^2+5x

4 0
2 years ago
31*r+1.1*(35−31)*r = 410.64.
Rasek [7]

Answer:

11.6

Step-by-step explanation:

<u>Solving with steps as below:</u>

  • 31*r+1.1*(35−31)*r = 410.64
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  • 31r + 4.4r = 410.64
  • 35.4r = 410.64
  • r = 410.64/35.4
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<u>Answer is:</u> r =11.6

5 0
3 years ago
Please help! I will give brainliest! :)
Neporo4naja [7]

Answer:

25,821

Step-by-step explanation:

To find the town's population in 19 years you just have to do 17,724*1.02^{19} because each year the population will be 1.02 times the year before. That would be 25,820.5212 which is 25,281 rounded to the nearest whole number.

Hope this helps :)

6 0
2 years ago
SOMEONE HELP PRETTY PLEASE!?!? If you are studying the effects of UV rays on eyesight and you group 10 people together and make
Anna [14]

Answer: D. Effects of UV rays on eyesight

Step-by-step explanation:

The whole point of this study is to find the effects of people either with wearing or not wearing sunglasses for 10 weeks and being exposed to UV rays.

8 0
2 years ago
Express the ratio in the simplest form. 5.6 m to 28 cm
Aleks [24]
<h3>your answer is 20: 1 2 </h3>

<h2>hope it's helpful for you ✌️❤️ ✌️✌️✌️✌️</h2>

7 0
3 years ago
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