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1 year ago

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A submarine descends to 1/6 of its maximum depth. Then it descends another 2/3 of its maximum depth. If it is now at 650 feet be

low sea level, what is its maximum depth?

1 answer:

Irina-Kira [14]1 year ago

8 0

Answer:

7500 feet is the lowest sea level or half of the earth

Step-by-step explanation:

mark as brainliest

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HELP ME PLZZZZ!!!!!!!!!!!!!!!!!!

Alekssandra [29.7K]

the radius of the distance between the middle point of the circle and the outside, we have the diameter which is 6 so the <u>radius will be 3</u>

slant height is

$\sqrt{r^2+h^2}$

h is 4.7 and r is 3

$\sqrt{3^2+4.71^2} \\5.58427$

<u>slant height is 5.58427</u>

lateral surface area

$\pi r\sqrt{h^2+r^2}$

$\pi (3)\sqrt{4.71^2+3^2} \\52.63053$

<u>lateral surface area is 52.63053</u>

total surface area

$\pi r(r+\sqrt{h^2+r^2})$

$\pi 3(3+\sqrt{4.71^2+3^2})$

$80.90486$

<u>total surface area is 80.90486</u>

8 0

2 years ago

A standard form of a parabola with points through (2, 0) (3, 2) (4, 6)

LenKa [72]

The standard form of a parabola with points through (2, 0) (3, 2) (4, 6)

is y = x² - 3x + 2 ⇒ 3rd answer

Step-by-step explanation:

The standard form of a parabola is y = ax² + bx + c, where a, b , c are constant

To find a , b , c

You must have 3 points lie on the parabola
Substitute the coordinates of each point in the equation to make system of equations of a , b and c
Solve the system of equation to find them

∵ The standard form of a parabola is y = ax² + bx + c

∵ The parabola passes through points (2 , 0) , (3 , 2) , (4 , 6)

- Substitute the coordinates of each point in the equation

Point (2 , 0)

∵ x = 2 and y = 0

∴ 0 = a(2)² + b(2) + c

∴ 0 = 4a + 2b + c

- Switch the two sides

∴ 4a + 2b + c = 0 ⇒ (1)

Point (3 , 2)

∵ x = 3 and 2 = 0

∴ 2 = a(3)² + b(3) + c

∴ 2 = 9a + 3b + c

- Switch the two sides

∴ 9a + 3b + c = 2 ⇒ (2)

Point (4 , 6)

∵ x = 4 and y = 6

∴ 6 = a(4)² + b(4) + c

∴ 6 = 16a + 4b + c

- Switch the two sides

∴ 16a + 4b + c = 6 ⇒ (3)

Subtract equation (1) from equations (2) and (3)

∴ 5a + b = 2 ⇒ (4)

∴ 12a + 2b = 6 ⇒ (5)

- Multiply equation (4) by -2 to eliminate b

∴ -10a - 2b = -4 ⇒ (6)

- Add equations (5) and (6)

∴ 2a = 2

- Divide both sides by 2

∴ a = 1

Substitute the value of a in equation (4) to find b

∵ 5(1) + b = 2

∴ 5 + b = 2

- Subtract 5 from both sides

∴ b = -3

Substitute the value of a and b in equation (1) to find c

∵ 4(1) + 2(-3) + c = 0

∴ 4 - 6 + c = 0

- Add like terms

∴ -2 + c = 0

- Add 2 to both sides

∴ c = 2

Substitute the values of a , b , c in the standard form above

∵ y = ax² + bx + c

∵ a = 1 , b = -3 , c = 2

∴ y = (1)x² + (-3)x + (2)

∴ y = x² - 3x + 2

The standard form of a parabola with points through (2, 0) (3, 2)

(4, 6) is y = x² - 3x + 2

There is another solution you can substitute the x-coordinate of each point in each answer to find the corresponding value of y, if the value of y gives the same value of the y-coordinate of the point for the three points then this answer is the standard form of the parabola

Learn more:

You can learn more about the parabola in brainly.com/question/8054589

#LearnwithBrainly

6 0

2 years ago

Read 2 more answers

The manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .

Misha Larkins [42]

Answer:

0.1507 or 15.07%.

Step-by-step explanation:

We have been given that the manufacturing of a ball bearing is normally distributed with a mean diameter of 22 millimeters and a standard deviation of .016 millimeters. To be acceptable the diameter needs to be between 21.97 and 22.03 millimeters.

First of all, we will find z-scores for data points using z-score formula.

$z=\frac{x-\mu}{\sigma}$ , where,

z = z-score,

x = Sample score,

$\mu$ = Mean,

$\sigma$ = Standard deviation.

$z=\frac{21.97-22}{0.016}$

$z=\frac{-0.03}{0.016}$

$z=-0.1875$

Let us find z-score of data point 22.03.

$z=\frac{22.03-22}{0.016}$

$z=\frac{0.03}{0.016}$

$z=0.1875$

Using probability formula $P(a$ , we will get:

$P(-0.1875$

$P(-0.1875$

$P(-0.1875$

Therefore, the probability that a randomly selected ball bearing will be acceptable is 0.1507 or 15.07%.

6 0

3 years ago

Help? with complete solution please help me please

serious [3.7K]

9514 1404 393

Answer:

13 ft
(a) 1 second; (b) t = 0, t = 1/2

Step-by-step explanation:

<h3>1. </h3>

Let w represent the length of the wire. Then the height of attachment is (w-1). The Pythagorean theorem tells us a relevant relation is ...

5² +(w -1)² = w²

w² -2w +26 = w² . . . . . . . eliminate parentheses, collect terms

26 = 2w . . . . . . . . . . . . add 2w

13 = w . . . . . . . . . . . . divide by 2

The length of the wire is 13 feet.

__

<h3>2. </h3>

(a) When h = 0, the equation is ...

0 = -16t^2 +8t +8

Dividing by -8 puts this into standard form:

2t^2 -t -1 = 0

Factoring, we get ...

(2t +1)(t -1) = 0

The positive value of t that makes a factor zero is t = 1.

It will take 1 second for the gymnast to reach the ground.

__

(b) When h = 8, the equation is ...

8 = -16t^2 +8t +8

Subtract 8 and divide by 8 to get ...

0 = -2t^2 +t

0 = t(1 -2t) . . . . factor out t

Values of t that make the factors zero are ...

t = 0

t = 1/2

The gymnast will be 8 feet above the ground at the start of the dismount, and 1/2 second later.

8 0

1 year ago

A culture of 100,000 bacteria triples every hour. How many bacteria were there 3 hours ago? (easy steps please)

Crank

Answer:

If it multiplies by 3 each hour, you would divide by three if you are looking for the first term. It is Geometric Sequence.

Step-by-step explanation:

100,000/3=33333.3333333 (1/3)

5 0

3 years ago