after sampling a column of water from the surface to a depth of 3000 meters (nearly 10,000 feet), a colleague aboard an oceanographic research vessel tells you that the water column is isopycnal. what does this mean? what conditions create such a situation? what would have to happen in order to create a pycnocline?

Based on the length of the ribbon, and the length of the pieces Janice needs to make, the number of 3/8 foot pieces she can make would be

To find the number of pieces that Janice can get from the 7/8 foot ribbon, you need to divide this length by the length of each piece of ribbon.

The length of each of these pieces is 3/8 so the number of pieces of ribbon that Janice can get from the 7/8 foot ribbon is:

= 7 / 8 ÷ 3 / 8

= 7 / 8 x 8 / 3

= 56 / 24

= 2.33 ribbons

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Janice can make 2 pieces of ribbon from 7/8 feet of ribbon each measuring 3/8 feet.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Janice is cutting the ribbon to decorate a present. She has 7/8 feet of ribbon.

She needs to make pieces that are 3/8 feet each.

To obtain the no. of pieces we have to divide the total length of the ribbon by the length of each piece.

∴ (7/8)/(3/8).

= (7/8)×(8/3).

= 7/3 pieces.

But he can only make 2 pieces as pieces must be in integers.

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Answer:

P+380=312

Step-by-step explanation:

The total, meaning addtion, and equals meaning equals sign. P+380=312

Answer:

Equation of line is given as y = mx + c, where m is the slope and c is the y-intercept.

Since line has a slope of -3, equation is y = -3x + c.

Substitute (-3,1) into the equation to find c.

1 = -3(-3) + c

c = -8

Hence, equation of line is y = -3x - 8.

The required correct answer is,

The area under P2 is 1, the area under P1 depends on the standard deviation of the dataset

i.e., Option d. is correct.

What is density curve ?

A density curve is a curve that illustrates the general shape of a data distribution. It is always above the x-axis; the area beneath it is always equal to one whole; the area beneath shows the percentage of all observations that fall in a given range. It is statistically easier to deal with a smooth curve than a histogram.

The bell-shaped density curve, which symbolizes the normal distribution, is the most well-known.

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The total price of that Ingrid has to pay is $52.90.

From the Latin word "per centum," which meaning "by the hundred," the word "percentage" was borrowed. The denominator of percent's is 100, making them fractions. In other words, it is the relationship between a component and a whole in which the value of the entire is consistently set to 100. The value of the entire is always 100 in a percentage, which is a ratio or fraction. Sam, for instance, would have received a score of 30 out of 100 on his arithmetic test if he received a 30%. When expressed as a ratio, it is written as 030:10 and as a fraction, 30/100. An quantity or part that is contained in each hundred is known as a percentage. The symbol "%" signifies that it is a fraction with 100 as the denominator.

Sales price = $48.90

Amount needed to be paid = 8.5% of $48.90 + $48.90

= 4.15 + $48.90

= $52.90

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Answer:

Step-by-step explanation:

[tex]\frac{y}{\sqrt{x} }[/tex] - [tex]\frac{\sqrt{x} }{x}[/tex] = [tex]\frac{y\sqrt{x} }{\sqrt{x} \sqrt{x} }[/tex] - [tex]\frac{\sqrt{x} }{x}[/tex] = [tex]\frac{y\sqrt{x} }{x}[/tex] - [tex]\frac{\sqrt{x} }{x}[/tex] = [tex]\frac{y\sqrt{x} -\sqrt{x} }{x}[/tex]    

Answer: 0.3

5/10 x 6/10 = 30/100 = 3/10 = 0.3

Answer:

(g ∘ f)(6) = 216

Step-by-step explanation:

We are given the functions f(x) = 2x - 6 and g(x)=x³

We want to find the value of (g∘f)(6), where we first find the value of f(6), and then substitute that value into g(x).

Substitute 6 as x in f(x)=2x-6.

f(6)=2(6)-6

Multiply

f(6)=12-6

Subtract

f(6)=6

Now substitute 6, which is the value of f(6) as x in g(x) = x³.

g(6)=6³ = 6 * 6 * 6 = 36 * 6 = 216

The value of g(6) is the same as the value of (g ∘ f)(6), as the 6 that we plugged into g(x) is the value of f(6).

Therefore, (g ∘ f)(6) = 216.

Answer:

Step-by-step explanation:

Since City a is an equation, you would have to solve it for its population, which is 280000, and since City B is 1,620,000 and City C is double city B, 3,240,000/280000 would get you the population, which is:

11.57, you would round up after that, which would get you the answer:

12

The area of the rectangle is 104 inches²

Define Area of Rectangle

The area of a rectangle is the space occupied by the rectangle inside its perimeter.

Given that, the perimeter is 42 inches

we know, the formula of perimeter of rectangle = 2(L + W)

so, the first equation will be

2(L + W) = 42

or, 2L + 2W = 42       ----------eq(i)

Next, the length of a rectangle is 5 inches longer than its width, so

L = W + 5

or, L - 5 = W              --------------eq(ii)

Now, the eq(i) is

2L + 2W = 42

Put W value from eq(ii),

2L + 2(L- 5) = 42

=> 2L + 2L - 10 = 42

=> 4L - 10 = 42

=> 4L = 52

=> L = 13

We got, L = 13 put this value in any of the equation

I'm putting the value in eq(ii) as it easy for to solve

=> 13 - 5 = W

=> W = 8

If you want to cross verify the values of L and W , then simply put the values in both the equation and LHS = RHS like that

2(13) + 2(8) = 42  (correct)

13 - 5 = 8 (correct)

Now, we got length and width so now just put the values of L and W in area of rectangle formula,

Area of rectangle = Length * width

                            = 13 * 8

Area of rectangle = 104 inches²

Hence, The area of the rectangle is 104 inches²

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The equations are solved to give;

46. x = 5

48. h = 1

50. The inequality is 7 ≤ d/ -5

An algebraic expression is described as a mathematical expression that is composed of terms, factors, coefficients, constants and variables.

They are described as expressions made up of arithmetic operations which includes;

Given the expression;

46.  |2x + 5| = 3x

Take the absolute value, we have;

2x + 5 = 3x

collect like terms

2x - 3x = - 5

-x = -5

x = 5

48.  (3h + 8) + 2 = 13

expand the bracket

3h + 8 + 2 = 13

collect like terms

3h = 13 - 10

3h = 3

Make 'x' the subject of formula

h = 1

50. Seven is at most the quotient of a number d and -5.

This is expressed as;

7 ≤ d/ -5

Hence, the values are x = 5, h = 1 and 7 ≤ d/ -5

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Answer:

8/15(-2/3)

we simply multiply them

-8*2/15*3

as we know that+*-=-

-16/30

so simply divided by 2 because it whole decide them 16/2and30/2

-8/15

ANSWER :

The answer is B. y = (x + 4)^2 + 9

EXPLANATION :

From the problem, we have :

Group the terms in which the constant term and the terms with variables are separated.

add and subtract a variable m to the parenthesis to maintain equivalency.

Calculate the value of m using b^2/4a^2 with a = 1 and b = 8

Then :

The first parenthesis will be a perfect square trinomial.

Factor and simplify :

Consider that a rotation of 90° clockwise is given by:

T(x,y) => (y,-x)

The coordintates of the point L is L(0,1), the, after the rotation you have:

T(0,1) => (1,0)

answer:

D. L(1,0)

The equation

has slope -3/7.

The product of perpendicular lines must be -1, so the slope of the new equation must be:

The line with that slope and that passes throught (1,6) is:

The following graph shows both equations:

The value of expression 4 1/5 + 3 2/3 + 1 1/6  is 9 1/30

Given that,

to  simplify: 4 1/5 + 3 2/3 + 1 1/6

Mixed fraction definition?

It is a type of fraction, and those that have both a fraction and a whole number are considered to be it.

How to convert Improper fraction to a mixed fraction?

Divide the fraction's numerator by its denominator, or 15/7, in step one.

Second Step: Since 2 is an integer, the answer's integer component will be a mixed fraction.

Step 3: The original denominator of seven will be used as the denominator.

Step 4: The incorrect fraction 15/7 is now a mixed fraction with the value 2 (1/7)

To simplify ,

4 1/5 + 3 2/3 = 7 13/15

7 13/15 + 1 1/6 = 9 1/30

Therefore the correct answer is 9 1/30

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We know the domain is the set of all x when is represented by ordered pairs: (x, y)

In this case {(-8,-12),(4,-8), (2, -10),(-10.-16) } we can observe that there are four x (the first number of each pair):

Domain = { -8, 4, 2, -10}

The given equation is expressed as

Inequality involving the sum of the angles of a triangle i.e,

[tex]\alpha +\beta +y > \pi[/tex]

The area of a spherical triangle ABC with angles a, B, Y are

AABC = ([tex]\alpha[/tex] + [tex]\beta[/tex]+ Y- [tex]\pi[/tex] ) [tex]R^{2}[/tex]

The AA'B'C' = AABC (by sss) as we discuss move.

We just need to demonstrate that IACI = IAC' and C'L IBCI = 1BC '1 will proceed similarly.

since AC & ATC resulted in the same.

the middle.

We now have external proof that the surface and their mon- are real. As of (ABCA) and LA'B'C) cover. A overlapping sphere with appropriate angles for each letter of the alphabet Las offered my first figure of $ segments that are completely separate from one another, so we may write -

( AABC A ) + ( A A'B'C' )A + ( An -x ) + ( Ax-B ) + ( An-V ) = [tex]4\pi R^{2}[/tex]

2 ( A ABC A ) =[tex]4\pi R^{2}[/tex] - 2 ( [tex]\pi -\alpha[/tex] ) [tex]R^{2}[/tex]- 2 ( [tex]\pi -\beta[/tex])[tex]R^{2}[/tex]-2([tex]\pi -Y[/tex])[tex]R^{2}[/tex]

AABCA = [tex](\alpha +\beta +Y-\pi )R^{2}[/tex]

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Answer:

The answers are all below.

Step-by-step explanation:

7. Yes

Plug 10 in for t

10-3 ≥ 2

7 ≥ 2

8. No

Plug 1 in for w

6(1) < -2

6 < -2 (Nope)

9. Yes

Plug 5 in for p

5 + 1.6 ≤ 4

6.6 ≤ 4

10. Yes

Plug 0 in for d

[tex]\frac{1}{2}[/tex](0) > -3

0 > -3

11.

1(------------------>k

12.

n<------------------]2.5

13.

In order to try out for one of the parts in a play at the local theater, you must be at most 12 years old. Write an inequality that represents this situation.

x≤12

x<-----------------]12

14. Yes

Plug 2 in for h

3(2) - 7 < 2

Simplify

6 - 7 < 2

-1 < 2

15. No

Plug -12 in for q

-12 + 8 ≥ [tex]\frac{-12}{4}[/tex]

Simplify

-4 ≥ -3 (Nope)

16.

    a. Yes

    Plug 0 in for x

    -2(0) < 10

    and

    -6 < -2(0)

    Simplify

    0 < 10

    and

    -6 < 0

    b. No

    Plug 4 in for x

    -2(4) < 10

    and

    -6 <  -2(4)

    Simplify

    -8 < 10

    -6 < -8 (Nope)

    c. -1

    Plug -1 in for x

    -2(-1) < 10

    and

     -6 < -2(-1)

    Simplify

    2 < 10

    and

    -6 < 2

The number with 3,4 and 8 as its factors is 24

The least common multiple(LCM) can be defined as the smallest multiple that two or more numbers have in common

The Lowest Common Multiples of 3 are:3, 6, 9, 12, 15, 18, 21, 24, 27 and 30

The Lowest Common Multiples of 4 are:  4, 8, 12, 26, 20, 24, 28, 32, ...

The Lowest Common Multiples of 8 are: 8, 16, 24, 32, 40, 48, ...

From the Lowest Common Multiples above, 24 is the only number that is common among the multiples of 3,4 and 8

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The result of 34+(12+14)2.2 in the mixed fraction is  [tex]91\frac{1}{5}[/tex]

The expression is

34+(12+14)2.2

The mixed fraction is defined as the fraction that consist of one whole number part and a simple fraction part. simple fraction is the fraction that consist of numerator and denominator as whole numbers. The top term of  the simple fraction is called numerator and bottom term of the simple fraction is called denominator.

The expression is

=34+(12+14)2.2

First do the arithmetic operation in the bracket

= 34 + 26×2.2

Do the Multiplication

= 34+57.2

= 91.2

Convert the decimal form to simple fraction

91.2 = 456/5

Convert the simple fraction to the mixed fraction

456/5 = [tex]91\frac{1}{5}[/tex]

Hence, The result of 34+(12+14)2.2 in the mixed fraction is  [tex]91\frac{1}{5}[/tex]

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The structure must be designed so that there are no risks to the health and safety of the patients, staff, and general public. The main goal of layout exists to make clear that work, materials, and information flow through a system smoothly.

Layout design generally seeks to arrange organizational units inside a building so that the space is used to its fullest potential and total distances are kept to a minimum.

The structure must be designed so that there are no risks to the health and safety of the patients, staff, and general public. It must be able to endure the pressure and environmental conditions that they might encounter.

A facility's layout and design are crucial to a company's overall operations because they may both suit the needs of employees and maximize the efficiency of the production process. The main goal of layout exists to make clear that work, materials, and information flow through a system smoothly.

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The length of CE is 7cm

To determine the length, we need to consider the properties of a rectangle, we have;

From the information given, we have that;

AB = 7cm

AD = 17cm

Then, line CE = line AB

But line AB = 7cm

CE = 7cm

Hence, the length is 7cm

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Answer:

125

Step-by-step explanation:

71.47 rounded to the nearest whole number would be 71.

54.357 rounded to the nearest whole number would be 54.

Now, when we add 71 and 54, we get:

71+54=

125

The total would be 125

Answer

A) f(w) = 80w + 30

B) w represents the number of weeks and f(w) the number of flowers that bloomed

C) 2830 flowers

Step-by-step explanation

A) To find the function f, which represents the number of flowers that bloomed, as a function of w, the number of weeks, we have to evaluate f(s) with s = s(w) = 40w, as follows:

B) w represents the number of weeks and f(w) the number of flowers that bloomed, like before.

C) Substituting w = 35 weeks into f(w), we get:

Answer: x=17

Step-by-step explanation:

Simplifying

5x = 85

Solving

5x = 85

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '5'.

x = 17

Simplifying

x = 17

The value of x in the equation is 17 .

Given,

5x = 85

Solving

5x = 85

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '5'.

x = 17

Simplifying

x = 17

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To fidn the surface area of the grain tank you need to find the area of:

Cylinder (without one of the bases as there are just one base exposed), use the next formula:

You have for the given cylinder:

h=12ft

r: as the diameter is 8.4ft the radius is 8.4tf/2=4.2ft

Cone (without the base as the base is not exposed), use the next formula:

You have for the given cone:

r= 4.2ft

s= 5.5ft

The entire exposed surface of the tank is: