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3 years ago

A submarine that is 245 feet below sea level descends 83 feet and then ascends

Mathematics

1 answer:

kirill115 [55]3 years ago

8 0

Answer:

-225 ft

Step-by-step explanation:

Initial position:

- 245 ft

Movements:

- 245 - 83 + 103 = -225 ft

Final position is -225 ft, choice B

You might be interested in

Evaluate the expression 2n - 6 if n = 16.

V125BC [204]

Answer:

$26$

Step-by-step explanation:

$2n-6$

Given that:

$n=16$

To evaluate the expression, we must simply substitute the given value of $n$ , which is $16$ , for $n$ :

$2(16)-6$

Multiply:

$32-6$

Subtract:

$26$

To check your work, simply set the given expression equal to our solution, $26$ :

$2n-6=26$

Add $6$ to both sides of the equation:

$2n=32$

Divide both sides of the equation by the coefficient of $n$ , which is $2$ :

$n=16$

Since it matches the given value of $n$ , our solution is correct!

3 0

2 years ago

Read 2 more answers

Find r(t) if r'(t) = 5t4i + 6t5j + t k and r(1) = i + j.

Vladimir [108]

$\mathbf r(t)=\displaystyle\int(5t^4\,\mathbf i+6t^5\,\mathbf j+t\,\mathbf k)\,\mathrm dt$
$\mathbf r(t)=(t^5+C_1)\,\mathbf i+(t^6+C_2)\,\mathbf j+\left(\dfrac12t^2+C_3\right)\,\mathbf k$

Given $\mathbf r(1)=\mathbf i+\mathbf j$ , we have

$\begin{cases}1^5+C_1=1\\\\1^6+C_2=1\\\\\dfrac121^2+C_3=0\end{cases}\implies C_1=0,C_2=0,C_3=-\dfrac12$

so that the particular solution is

$\mathbf r(t)=t^5\,\mathbf i+t^6\,\mathbf j+\dfrac12(t^2-1)\,\mathbf k$

8 0

3 years ago

Please Help!!

GarryVolchara [31]

Answer:

D:) (2,2,) is the Answer

Step-by-step explanation:

Solve the following system:

{X - 2 Y = -2 | (equation 1)

{3 X - 2 Y = 2 | (equation 2)

Swap equation 1 with equation 2:

{3 X - 2 Y = 2 | (equation 1)

{X - 2 Y = -2 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{3 X - 2 Y = 2 | (equation 1)

{0 X - (4 Y)/3 = (-8)/3 | (equation 2)

Multiply equation 2 by -3/4:

{3 X - 2 Y = 2 | (equation 1)

{0 X+Y = 2 | (equation 2)

Add 2 × (equation 2) to equation 1:

{3 X+0 Y = 6 | (equation 1)

{0 X+Y = 2 | (equation 2)

Divide equation 1 by 3:

{X+0 Y = 2 | (equation 1)

{0 X+Y = 2 | (equation 2)

Collect results:

Answer: {X = 2 , Y = 2

4 0

3 years ago

Read 2 more answers

standard automobile license plates in a country display 3 numbers, followed by 2 letters, followed by 2 numbers. how many differ

RoseWind [281]

The system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

<h3>Define the term permutation?</h3>

The number of potential arrangements for a given set is assessed mathematical terms, but this procedure is referred to as permutation.
The arrangement's order is essential when using permutations.

For the stated data;

Standard car license plates in a nation typically have 3 digits, 2 letters, and 2 numbers.

There are total 9 digits (0 - 9).

There are total 26 letter (A - Z)

Repetitions of letters and numbers given allowed.

Thus, numbers and the letters ca be arranged as;

1st place = 9 ways.

2nd place = 9 ways.

3nd place = 9 ways.

4th place = 26 ways.

6th place = 26 ways.

7th place = 9 ways.

8th place = 9 ways.

Total ways = 9×9×9×26×26×9×9

Total ways = 39917124

Thus, the system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

To know more about the permutation, here

brainly.com/question/1216161

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5 0

1 year ago

Rewrite using the distributive property then solve using gcf. 5(4+3)

Vitek1552 [10]

Answer:

Step-by-step explanation:

5×4+5×3

20+15

5 0

3 years ago