The velocity v, in meters per second, of a certain type of wave is given by v(h) = 3√h, where h is the depth, in
meters, of the water through which the wave moves. What is the rate of change, in meters per second per meter, of
the velocity of the wave with respect to the depth of the water, when the depth is 2 meters?

The value of the expression √4x-3 /9-2x =0 will be B. 2.

Rearrange the radical on the left side of the equation:

√4x-3=√9-2x

Power on both sides: (√4x − 3)²=(√9 – 2x)² -

Simplify the radical expression: 4x-3=9-2x Rearrange unknown terms to the left side of the

equation: 4x+2x=9+3

Combine like terms: 6x=9+3

Calculate the sum or difference: 6x=12

Divide both sides of the equation by the coefficient

of variable: x=12÷6

Calculate the product or quotient: x=2

Substitute into one of the equations: √4 x 2 3-√9-2 × 2=0

Calculate the product or quotient: √8

9-2×2

Calculate the product or quotient: √8 3 - √9 4

Calculate the sum or difference: √5-√9

Calculate the sum or difference: √5-√5

Calculate the sum or difference: 0=0

Combine the results: x=2

x=2

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The solutions of the quadratic equation are;

1) x = 1 or -1/2

2) x = 11 or -1

We know that the quadratic formula is one of the ways that we can use to solve for the variables that we have in a quadratic equation. We can be able to obtain x by using the formula;

x = -b ±√b^2 - 4ac/2a

To use the discriminant;

√b^2 - 4ac

√(-5)^2 - (4 * 4 * 10)

√-135

The roots are imaginary

√18^2 - 4(1 * 81)

= 0

The roots are equal

√(-4)^2 - (4 * 4 * -24)

=20

The equation roots are real and different

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Hakeem made 10 shots. The solution has been obtained by using proportions.

What is proportion?

Two numbers are compared. It is known as a proportion in mathematics. The law of proportion states that if two sets of given numbers rise or decrease in the same ratio, they are considered to be directly proportionate to one another.

We are given that Hakeem made 5% of his free throws over the season.

He shot 200 free throws and was able to make 5% from them.

So,

Number of throws he made = Number of free throws x Percentage made

Using this, we get

⇒Number of throws he made = 200 x 5%

⇒Number of throws he made = 10

Hence, Hakeem made 10 shots.

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The value of the exterior angle x of the quadrilateral is equal to

The sum of the exterior angles of any convex quadrilateral is 360 degrees so we have that:

65 + 106 + 78 + x = 360

simply the left hand side of the equation

249 + x = 360

subtract 249 from both sides of the equation

249 - 249 + x = 360 - 249

x = 111°

In conclusion, since the sum of the exterior angles of a quadrilateral is s 360°, we have got the measure of one the the exterior angle x to be equal to 111°

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Since they are demanding a change in the law to have a voice in any major decisions through voting. If the king allows this, it will change the Leswaygo form of government to: B. democracy.

In Government, democracy can be defined as a type of government that is established by the people and generally for the people. This ultimately implies that, a democracy refers to a type of government that accords all the power to the people.

This simply means that, that the form of power that is exercised through the people is generally referred to as democracy. Additionally, all the people living in a country that practice democracy are expected to elect legislators at large and have a voice in any major decisions through voting.

In this context, we can infer and logically deduce that Leswaygo form of government would be changed to democracy.

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Answer:

I took the quiz it was B democracy

Step-by-step explanation:

It was democracy because that is the strongest form of government

Answer: y > 8

Step-by-step explanation:

6 - 5y < -34

-5y < -40

y > 8

[tex]6-5y < -34[/tex]

Simplify:

[tex]-5y+6 < -34[/tex]

Subtract 6 from both sides:

[tex]-5y+6-6 < -34-6[/tex]

[tex]-5y < -40[/tex]

Since we are dividing by a negative number, the sign will reverse.

Divide both sides by -5:

[tex]\dfrac{-5y}{-5} > \dfrac{-40}{-5}[/tex]

[tex]\boxed{y > 8}[/tex]

Answer: range is (-4,0,28)

Step-by-step explanation:

Graph the line using the slope and the y-intercept, or the points.

The correct answers are:

The word "domain" is used with other related meanings in some areas of mathematics. In topology, a domain is a connected open set. In real and complex analysis, a domain is an open connected subset of a real or complex vector space.

The slope-intercept form is y =mx + b where m is the slope and b is the y-intercept:

→ y = mx + b

Find the values of m and b using the form y = mx + b:

m = 4

b = 12

Therefore, Graph the line using the slope and the y-intercept, or the points.

The correct answers are:

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The absolute humidity is 500g/m³, specific humidity = 16.67% and mixing ratio = 20%.

Absolute humidity is a measure of the amount of water vapor in a given volume of air, regardless of the total mass of the air. It is expressed as the mass of water vapor per unit volume of air, typically in units of grams per cubic meter (g/m³).

First, we need to find the mass of dry air in the package. Since the total volume of air is 1m³ and the volume of dry air is 2.5m³, the volume of water vapor is 1 -2.5 = -1.5 m³. This means that the water vapor must have condensed and become liquid water, which we can ignore for the purposes of this problem. So the mass of dry air is:

mass of dry air = density of air * volume of dry air

mass of dry air = 1000g/m³ × 2.5m³

mass of dry air = 2500 g

Now we can use this value, along with the given mass of water vapor, to calculate the three measures of humidity:

       absolute humidity = 500g/ 1m³

       absolute humidity =  500g/m³

       specific humidity = 500g/(2500g + 500g)

       specific humidity = 0.1667 (or 16.67% as a percentage)

       mixing ratio = 500g/2500g

       mixing ratio = 0.2 (or 20% as a percentage)

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Answer:B

Step-by-step explanation:

5x+15=55

5x=40

x=8

The percentage decrease for the sale of the house is 0.27%.

What are the nearest two places?

The second place to the right of the decimal point, or the hundredth place, is used to round a decimal number to two decimal places. For instance, you can round 2.83620364 to two decimal places as 2.84 and 0.7035 to two decimal places as 0.70.

Given that the initial cost of a home is  369,000.

The cost of a house decreases from 369,000 to 368,000.

The formula of percentage change is

(Final value - initial value)/ initial value × 100

= [(368,000 - 369,000)/369,000] × 100

= (-1000)/369,000 × 100

= 0.27

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The area of the shape given which is a circle is; 38.465 in²

The area of a circle is π multiplied by the square of the radius. The area of a circle(A) when the radius 'r' is given is πr².

Area = πr²

The parameters are;

radius; r = 3¹/₂ inches = ⁷/₂ inches

Thus;

Area = π * (⁷/₂)²

Area = π * 49/4

Area = 3.14 * 49/4

Area = 38.465 in²

That's the area of the circle shape given.

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Answer:

Step-by-step explanation:

12

144 divided by 12 is 12

The perimeter of the triangle is 23x + 17.

Perimeter is simply the sum of all sides of a polygon.

Given the sides of the triangle;

Side one = 10x + 19

Side two = 12x - 2

Side three = x

To find the perimeter, we add the sides

Perimeter = Side one + Side two + side three

Perimeter = 10x + 19 + 12x - 2 + x

Collect and add like terms

Perimeter = 10x + 12x + x - 2 + 19

Perimeter = 23x - 2 + 19

Perimeter = 23x + 17

Therefore, the perimeter is 23x + 17.

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Answer:

BL

Step-by-step explanation:

because it goes in both directions infintely

Hi there, here's your answer:

To find the answer to this question, let us review all the options given in the question.

a) BL

BL being two ends of a given line that extends infinitely along its axis, forms a line.

b) GK

GK being two distinct lines do not join and hence do not form an independent line.

c) EB

E being a point on the line BL and B being one end of a larger line form a ray.

d) HI

HI being two points on a line GJ form a line segment, which is finite and has definite end points.

Thus, the answer to this question is (a).

Hope it helps! Please mark as Brainliest!

Answer:

x=2

y=0

Step-by-step explanation:

2x=4

x=4/2

x=2

again,

y-1 =2y -1

1-1 =2y -y

0=y

The tables of x- and y-values that represents a function include the following: C. table C.

In Mathematics, a function is a mathematical expression which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair in tables or relations.

This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable (domain) to an output variable (range) representing a given scenario or situation such as the following:

x  1   3   7   5   2  4

y  6  6   6   6   6  6

In conclusion, we can reasonably infer and logically deduce that only table C represent a function.

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The solution of the radical expression ∛(4+3) will be 1.91.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

The radical sign, which may be read as either the nth root of x or x radical n, expresses the root of a number. The vinculum, or horizontal line that encircles the number, and the radicand, or number beneath it, are both technical terms.

Given that the expression is ∛(4+3). The solution of the medical expression will be,

E = ∛ ( 4 + 3)

E = ∛(7)

The value of the cube root of the number 7 will be,

E = 1.91

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Answer:

Step-by-step explanation:

To put a ratio in its lowest terms, we need to divide both terms of the ratio by their greatest common divisor (GCD). The GCD of 1500 and 1200 is 300, which is the largest number that divides both numbers evenly.

Dividing both terms of the ratio by 300, we get:

1500 / 300 : 1200 / 300 = 5 : 4

So, the ratio 1500:1200 in its lowest terms is 5:4.

Answer:

Step-by-step explanation:

To calculate 8% of 350, we can first calculate 1% of 350 and then multiply it by 8.

1% of 350 is equal to 0.01 times 350 which can be calculated as:

0.01 * 350 = 3.5

Since 1% of 350 is equal to 3.5, 8% of 350 can be calculated as follows:

8 * 3.5 = 28

So, 8% of 350 is equal to 28.

Answer:

9

Step-by-step explanation:

divide 27 by 3

It equals 9

9 x 2 = 18 boys

27-18= 9 girls

Answer:

1.75

Step-by-step explanation:

1. Algebraic equation: 8x - 9 = 5

2. Add 9 on both sides; 8x=14

3. Divide both sides by 8

4. x=1.75

Answer:

Number = 1/2

Step-by-step explanation:

9 - 8a = 5

9 - 5 = 8a

4 = 8a

4/8 = a

a = 1/2

Check:

9 - 8*1/2 = 5

9 - 4 = 5

Answer:

41°

Step-by-step explanation:

We know that,

y°+49°= 90°

y° = 90°-49°

y=41°

So, the value of y is 41°

Answer: 4x = 64 or -32/-2

Step-by-step explanation:

you could multiply both sides by 2.

4x = 64

4x/4 = 64/4

x = 16

OR

-2x or -32 to both sides

-32 = -2x

divide both sides by -2

x = -32/-2

x = 16

hope this helps

The equation of the straight line is 2x+5y=340.

The x-intercept point of that line is (170,0).

A straight line has different forms like point-slope form, standard form, slope-intercept form, and others. A specific form is used according to the given data for convenience.

here, we have,

As f(-10)=64 and f(15)=54, two points can be wriiten as (x₁,y₁)=(-10,64) and (x₂,y₂)=(15,54).

Now, use the two-point form of the equation of a line.

(y-y₁)/(x-x₁)=(y₂-y₁)/(x₂-x₁)

(y-64)/(x-(-10))=(54-64)/(15-(-10))

(y-64)/(x-10)=-10/25

25(y-64)=-10(x-10)

5(y-64)=-2(x-10)

5y-320=-2x+20

2x+5y=340

Therefore, the required equation of the line is 2x+5y=340.

To find the x-intercept, substitute y=0 into the equation of the line.

2x+5×0=340

2x=340

x=170

Therefore, the x-intercept point is (170,0).

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we get two possible solutions: L = 6 and W = 4. Therefore, the length of the land could be 6 meters.

If the rectangular plot has length L and width W, then we know that 2L + 2W = 20 since 20 meters of wire mesh were used. We also know that L × W = 24 since the area of the plot is 24 square meters. Solving these two equations simultaneously, We have the equations:

2L + 2W = 20

L × W = 24

From the first equation, we can solve for L in terms of W:

2L = 20 - 2W

L = 10 - W

Substituting this into the second equation, we get:

(10 - W) × W = 24

Expanding the brackets, we get: 10W - W² = 24

Rearranging and setting equal to zero, we get: W² - 10W + 24 = 0

We can solve this quadratic equation by factoring: (W - 6) × (W - 4) = 0

So the possible solutions for W are: W = 6 or W = 4

If W = 6, then L = 10 - W = 4, so the rectangular plot has dimensions 4 meters by 6 meters. If W = 4, then L = 10 - W = 6, so the rectangular plot has dimensions 6 meters by 4 meters. Therefore, the length of the land is 6 meters. because the length is assumed as the longer side of a shape or an object.

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Complete Question

To enclose a rectangular plot of 24 m², 20 m of wire mesh were used, what is the length of the land?

The average rate of change over the interval (-1, 2) is; 3

The formula for the average rate of change over an interval (a, b) is expressed as;

f'(x) = [f(b) - f(a)]/[b - a]

We want to find the average rate of change over the interval (-1, 2). Thus;

a = -1 and b = 2

Thus;

f(-1) = -4

f(2) = 5

Thus;

f'(x) = (5 - (-4))/(2 - (-1))

f'(x) = 9/3

f'(x) = 3

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Answer:

The correct answer is D. inventory; number of employees on payroll. An accountant records on hand to note a company's inventory, which is the stock of goods available for sale or use in the production process. The number of employees on payroll refers to the human resources aspect of a company, which is separate from the inventory.

Answer:

∠1 and ∠3

Step-by-step explanation:

The other pair of vertical angles are ∠2 and ∠4