Measuring the speed of sound in the ocean is an important part of marine research. One application is the study of climate change. The speed of sound depends on the temperature, salinity, and depth below the surface. For a fixed temperature of 25 degrees Celsius and salinity of 35 parts per thousand, the speed of sound is a function of the depth. At the surface, the speed of sound is 1534 meters per second. For each increase in depth by 1 kilometer, the speed of sound increases by 17 meters per second.

What increase in the speed of sound is caused by a 4-kilometer increase in depth?

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \large \sf \: x \cdot 1 + \frac { x } { 1 } = ? \\ [/tex]

[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]

[tex] \large \sf \: x \cdot 1 + \frac { x } { 1 } \\ [/tex]

Anything divided by one results in itself.

[tex] \large \sf \: x\times 1+x [/tex]

Combine x × 1 and x to get 2x.

[tex] = \large \boxed{ \bf \: 2x}[/tex]

Answer:

3

Step-by-step explanation:

2

Answer:

False.

Step-by-step explanation:

Using the property of distribution, (a + b)² will be a² + b², never a² + b.

No, for any two integers a and b, (a + b)² ≠ a² + b is a false statement.

For the given two integers a and b,

The given expression

(a + b)² = a² + b (false statement)

The correct statement is-

(a + b)² = (a + b)(a + b)

(a + b)² = a² + b² +  2ab

Thus, no, for any two integers a and b, (a + b)² ≠ a² + b.

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Answer:

x²+8x+16

Step-by-step explanation:

f(x) = (x+4)²

= (x+4)(x+4)

= x² + 4x + 4x + 16

= x² + 8x + 16

Answer:

-220

Step-by-step explanation:

2,300-1 then we go into the negatives 0- -2,300

so if -5 is further from 0 than -4 that means the larger number is further

Answer:

x = 14

Step-by-step explanation:

Since the triangles are similar then corresponding sides are in proportion, that is

[tex]\frac{15}{x-4}[/tex] = [tex]\frac{12}{8}[/tex] ( cross- multiply )

12(x - 4) = 120 ( divide both sides by 12 )

x - 4 = 10 ( add 4 to both sides )

x = 14

Answer:

#1

6 × n + 15 = -42

6n + 15 = -42

6n = -42 - 15

6n = -57

n = -57/6

n = -19/3

#2

b + 3/2b + b + 45 + 2b - 5 + 90 = 540

b + 1.5b + b + 45 + 2b - 5 + 90 = 540

5.5b + 130 = 540

5.5b = 540 - 130

5.5b = 410

b = 410/5.5

b = 74.5

Angles are

b = 74.5

1.5(74.5) = 111.75

74.5 + 45 = 119.5

2(74.5) - 5 = 144

Answer: 5

Step-by-step explanation:

The coordinate of the midpoint M = 5

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment ST, where the length of line segment ST  refers to the distance between its endpoints, S and T.

Given that M is the midpoint of ST

S______________M______________T

A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.

The endpoints of ST are -15 and 25.

So the midpoint between S and T is given by,

⇒ M = (25 - 15)/2,

⇒ M = 10/2

⇒ M = 5

Hence, the coordinate of the midpoint M = 5

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Answer:

Step-by-step explanation:

Let the other end point be (a,b)

Then the midpoint p(0,-1) is between the two end points (-1,0) and (a,b)

So

(0,-1) = ( (-1+a)/2 , (0+b)/2)

So we have

0 = (-1 +a) /2

0 = -1 + a

a =1

and

-1 = (0+b)/2

-2 = 0+b

b = -2

So the other end point is ( 1, -2)

Answer:

Step-by-step explanation:

Answer:

d. 9 4/5

Step-by-step explanation:

5+4=9

1/5+ 3/5=4/5

So then you'll get 9 4/5

Answer:

2/7 divided by 3/4

So we can't divide fractions but what we can do is multiply them.

The First step is to do KCF (Keep, Change, Flip)

So It will be 2/7 TIMES 4/3. Keep 2/7 change the division sign to multiplication sign and flip 3/4 to 4/3. Now Multiply normally.

I hope this helps you find the correct answer <3

Step-by-step explanation:

1 . x - 4y = -10

2x + y = -11

multiply the first equation with 2

2x - 8y = -20

-

2x + y = -11

===============

= 0 - 9y = -9

y = 1

x = -6

-------------------------------------------

2.

a - 3b = 24

-

a + 2b = -16

=============

= 0- 5b = 40

b = - 8

a = 0

and so on

I do not know how to solve this problem sorry see ypu later mabye

I dunno what your question ask

Answer:

The Answer is -467

Step-by-step explanation:

all it did was move the decimal to the right once

Answer:

(4.5 , 2.5)

Step-by-step explanation:

The midpoint can be found with the formula 

[tex]midpoint = ( \frac{x1 + x2}{2} ).( \frac{y2 + y1}{2} )[/tex]

and (x1 , x2 ) , (x2, y2) are the coordinates of two points, and the midpoint is a point lying equidistant and between these two points.

Answer:

5

Step-by-step explanation:

Answer:

Area=6[tex]x^{2}[/tex]+5x-1

Step-by-step explanation:

A=lW

A=(2x-1)(3x+1)

A=2x(3x+1)-1(3x+1)

A=6[tex]x^{2}[/tex]+2x-3x-1

A=6[tex]x^{2}[/tex]+5x-1

Hope u got it

If you have any problem just ask me

If u think this is the best answer please mark me as brainliest

Answer:

between 42 and 54 on the data set

Step-by-step explanation:

standard deviation is the typical variance from the mean so just add and subtract 6 units each direction to get where most of the data is.

Now range of majority:-

[tex]\\ \sf\longmapsto 48-6\to 48+6[/tex]

[tex]\\ \sf\longmapsto 42\to 54[/tex]

Answer:

2x - 3 < 7

Step-by-step explanation:

less than = <

difference means you're subtracting.

2 times a number its just x since we don't know the number.

and 3 because we're subtract 3 from something.

Answer:

164 feet per minute

Step-by-step explanation:

3 kilometers is ~9842.52 feet

Since it moves 9842.52 feet per hour, we can just divide that number by 60 which gives us 164.042 feet. Rounded it's 164 feet

Answer:

9

Step-by-step explanation:

9 is 3/4*12.

Answer:

$20

Step-by-step explanation:

0.50×8=4

4×5=20

50 cents per 1/8 of a pitcher so that would mean that 2/8 or 1/4 would be a dollar and if you keep going like that you will get to 4, then you multiply 4 and 5 to get 20.

Can I please have brainliest?

Answer:

d=14

Step-by-step explanation:

1d/6+2/3=1(d-2)/4

Find the L.C.M.

d+4/6=d-2/4

Cross multiply

4d+16=6d-12

Collect like terms

16+12=6d-4d

28=2d

Divide through by the coefficient of d

2d/2=28/2

d=14

Answer:

d = 20

Step-by-step explanation:

1/6*d + 2/3 = 1/4*(d - 2) do the multiplying

d/6 + 2/3 = (d-2)/4 now add fraction

d/6 + 2/3 to add these up we need to multiply 2/3 with 1/2 and it will be 4/6

d/6 + 4/6 = (d+4)/6

(d+4)/6 = (d-2)/4 cross multiply

4d + 16 = 6d - 24 add like terms

16 + 24 = 6d - 4d

40 = 2d divide both sides by 2

20 = d

Answer:

Step-by-step explanation:

There's a small trick here. You have to double the thickness. Why? Because the outside diameter goes through the thickness twice.

Inside diameter = outside diameter - 2 * thickness

outside diameter = 1 1/4 inches

thickness = 5/16

Inside diameter = 1 1/4 - 2 * 5/16

inside diameter = 5/4 - 10/16

Inside diameter = 5/4 - 5/8

Inside diameter = 10/8 - 5/8

Inside diameter = 5/8

Answer:

slope is also known as gradient

here gradient =2/9