83 fish of 40% of what number of fish? ​

The total force exerted by the water on the semicircular plate is zero Newtons.

To find the total force exerted by the water on the semicircular plate, we need to calculate the hydrostatic force acting on each infinitesimally small element of the plate and then integrate these forces over the entire surface.

The hydrostatic force exerted by a fluid on a submerged surface is given by the formula:

F = ∫∫P dA,

where F is the total force, P is the pressure at a given point on the surface, and dA is the differential area element.

In this case, since the water comes up to the top of the plate, the pressure at any point on the plate is equal to the pressure at the water surface. The pressure at a given depth in a fluid is given by the equation:

P = ρgh,

where ρ is the density of the fluid, g is the acceleration due to gravity, and h is the depth below the surface.

In the case of the semicircular plate, the depth h varies depending on the position on the plate. At any point (x, y) on the plate, the depth can be expressed as:

h = R - y,

where R is the radius of the semicircular plate and y is the distance from the top of the plate.

Substituting the expression for h into the pressure equation, we have:

P = ρg(R - y).

Now, we can calculate the force exerted on each infinitesimal element of the plate:

dF = P dA = ρg(R - y) dA.

Since the plate is symmetric about the x-axis, we can integrate the force over the entire plate by integrating with respect to x from -R to R and with respect to y from 0 to R:

F = ∫[-R,R] ∫[0,R] ρg(R - y) dA.

To set up the integral, we need to express dA in terms of x and y. Since the plate is a semicircle, we can use polar coordinates:

x = r cosθ,

y = R - r sinθ,

dA = r dr dθ.

Now, we can rewrite the integral:

F = ∫[0,R] ∫[0,π] ρg(R - (R - r sinθ)) r dr dθ.

Simplifying the expression:

F = ∫[0,R] ∫[0,π] ρg r² sinθ dr dθ.

Evaluating the inner integral:

F = ∫[0,R] [-ρg/3 r³ cosθ]₀ᴿ dθ.

Evaluating the outer integral:

F = [-ρg/3 R³ sinθ]₀ᴾ.

Since the sine of π is zero and the sine of 0 is zero, the total force simplifies to:

F = [-ρg/3 R³ (sin(π) - sin(0))].

F = [-ρg/3 R³ (0 - 0)].

F = 0.

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Question:

QS and TV are parallel lines.



What angles are alternate exterior angles?



Options:

a) b) c) d)

Solution:

Remember that the alternate exterior angles are the exterior angles found on either side of the secant. Then, in our case we have that the alternate exterior angles are:

QRP and SRP



Answer:

3b/2 + 3

Step-by-step explanation:

The formula to calculate perimeter of rectangle is 2l + 2w

The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2

Using the formula to calculate perimeter you can substitute and calculate

p= 2l + 2w

p= 2(b/4 + 1/2) + 2(b/2 + 1)

p= 2b/4 +2/2 + 2b/2 +2

p= 1/2b + 1 + b + 2

p= 3/2b + 3

Simplified it's 3b/2 +3

Answer:

7

Step-by-step explanation:

The middle 2 numbers are 6 and 8. Add them both up and divide them by 2. Gets you 7.

Answer:

Step-by-step explanation:

a) 1/2 of 18 = ?

→ 1/2 of 18

→ (1/2) × 18

→ 18/2 = 9

So, answer is 9.

b) 2/3 of 27 = ?

→ 2/3 of 27

→ (2/3) × 27

→ 54/3 = 18

So, answer is 18.

By some estimates 80-90 percent of employee learning occurs via on the job training.

This is the term that is used to refer to the training that people would receive based on the fact that it is preparing them to have the competent skills that are useful for a particular job. It is one of the ways that employers help to get their employees ready for the task at hand.

It has been reported from available data that on the job training is a great component of employee learning.

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Answer:

9. The answer is 208

10. The anwer is 122°

11. m∠1 = 43°

   m∠2 = 17°

   m∠3 = 120°

   m∠4 = 60°

   m∠5 = 60°

   m∠6 = 60°

   m∠7 = 17°

   m∠8 = 120°

   m∠9 = 43°

Step-by-step explanation:

Long explanation that's why I don't have to put it. But I solved it on a scratch  paper so you don't have to doubt me. I hope it helps

9.each side of the equilateral triangle has a length of 190 units.

10.The angles of the triangle are approximately: Angle 1 = 29 degrees

Angle 2 ≈ 10.5 degrees and Angle 3 = 11x - 65 ≈ 139.7273 degrees

11. m∠1 = 43° , m∠2 = 17° , m∠3 = 120° ,  m∠4 = 60° , m∠5 = 60°, m∠6 = 60°

9.Given that two angles in a triangle are 60 degrees each, we have an equilateral triangle, where all three angles are equal to 60 degrees.

In an equilateral triangle, all three sides are also equal. Let's denote the length of each side as "s."

You are given two expressions for the sides: 1. First side: 7x + 19 2. Second side: 11x - 89

Since the triangle is equilateral, all three sides have the same length. Therefore, we can set up the following equation:

7x + 19 = 11x - 89

Now, solve for "x":

Subtract 7x from both sides: 19 = 4x - 89

Add 89 to both sides: 108 = 4x

Divide by 4: x = 27

Now that we have the value of "x," we can substitute it back into either of the expressions to find the length of each side. Let's use the first expression: First side = 7x + 19 = 7 * 27 + 19 = 190

So, each side of the equilateral triangle has a length of 190 units.

10. In a triangle, the sum of all three angles is always 180 degrees. Therefore, to find the value of the second angle when one angle is 29 degrees and the third angle is expressed as 11x - 65 degrees, we can set up the following equation:

Angle 1 + Angle 2 + Angle 3 = 180

Given: Angle 1 = 29 degrees, Angle 3 = 11x - 65 degrees

Let's denote Angle 2 as "A2": 29 + A2 + (11x - 65) = 180

Simplify the equation: A2 + 11x - 36 = 180

Now, you mentioned that Angle 2 is expressed as 11x - 65 degrees. So, we can equate this expression to "A2": 11x - 65 = A2

Substitute this expression for A2 back into the equation: 11x - 65 + 11x - 36 = 180

Combine like terms: 22x - 101 = 180

Add 101 to both sides: 22x = 281

Divide by 22: x = 281 / 22 ≈ 12.7727

Now that we have the value of "x," we can find Angle 2 using the expression 11x - 65: Angle 2 = 11x - 65 = 11 * 12.7727 - 65 ≈ 10.5 degrees

So, the angles of the triangle are approximately:

Angle 1 = 29 degrees

Angle 2 ≈ 10.5 degrees

Angle 3 = 11x - 65 ≈ 139.7273 degrees

11.m∠7 = 17° , m∠8 = 120° ,m∠9 = 43°

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Answer:

The answer is 5

Step-by-step explanation:

The coefficient in any equation is the numerical or constant quantity placed before multiplying the variable.

Answer:

What is the slope of the line that represents the turtle's path?

=0.8

What are the values of the constants in the vertex form of the quadratic equation that models the bird's path?

h=0

k=20

a= -0.12

Which system of equations could you use to determine where the paths intersect?

=B) y = 0.8x and y = -0.12x2 + 20

Step-by-step explanation:

your welcome <3

Based on the graph, the values of the constants in the vertex form of the quadratic equation are:

Generally, the vertex form of a quadratic equation can be used to model or write an equation of the function of a graph.

Mathematically, the vertex form of a quadratic equation is given by this formula:

y = a(x - h)² + k

Where:

h and k represents the vertex of the graph.

Note: The sign on "a" indicates whether the quadratic equation opens up or opens down.

Based on the complete information, we can deduce that the values of the constants in the vertex form of the quadratic equation are:

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The area of a 2D form is the amount of space within its perimeter. The area of the composite figure is 198.5714 cm².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The area of the composite figure is the sum of the area of the circle and the area of the rectangle.

Area = Area of circle + Area of rectangle

        = (π×5²) + (10×12)

        = 78.5714 cm² + 120 cm²

         = 198.5714 cm²

Hence, the area of the composite figure is 198.5714 cm².

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Answer:

3

Step-by-step explanation:

In order to solve how many problems each person has solved, you have to multiply the fraction by the number of problems on their assignment. To do this, you multiply the numberator by the number of problems and then divide that by the denominator for both Dustin and Kelsey.

For Dustin, 3/8 * 24 = 72 / 8 = 9 problems completed

For Kelsey, 4/15 * 30 = 120/15 = 8 problems completed

Dustin has completed more problems

Answer:9

Step-by-step explanation:

Dustin done more he done 9 and kelsey done 8

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

-16x = - 352     divide by -16 both sides

x = -352/-16

x = 22

Answer:−16x=−352

Divide both sides by −16.

x=  −352/−16

Divide −352 by −16 to get 22.

x=22

Step-by-step explanation:

The other polynomial is \(\rm 3yz^2-3z^2-5y+7\).

Given

The sum of two polynomials is \(\rm -yz^2-3z^2 -4y+ 4\). If one of the polynomials is \(\rm y -4yz^2 - 3.\)

The sum of two polynomial is given by;

\(\rm Sum \ of \ polynomial = First \ polynomial + Second \ polynomial\)

Therefore,

The other polynomial is;

\(\rm Sum \ of \ polynomial = First \ polynomial + Second \ polynomial\\\\ \rm -yz^2-3z^2 -4y+ 4=\rm y -4yz^2 - 3+ Second \ polynomial\\\\ Second \ polynomial= -yz^2-3z^2 -4y+ 4-y+4yz^2+3\\\\Second \ polynomial =3yz^2-3z^2-5y+7\)

Hence, the other polynomial is \(\rm 3yz^2-3z^2-5y+7\).

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Answer:

Its D

Step-by-step explanation:

i hope this helps :,)

Answer:

Subtracting polynomials is quite similar to adding polynomials, but there are those pesky "minus" signs to deal with. If the subtraction is being done horizontally, then the "minus" signs will need to be taken carefully through the parentheses

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

This is true: the result of adding two polynomials will always be another polynomial. A polynomial is an algebraic expression made up of the sum of monomials, which are products of numbers (coefficients) and variables in positive integer exponents.

Answer:

9.99+ 1.25x. X represents the every movies rented. I think my answer matches b, I am not sure.

Step-by-step explanation:

Answer:

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

An inverse variation is:

Substitute x = 3 and y = 2 to find the value of k:

So, the constant of variation is 6.

Answer:

y = 1/5x + 5

Step-by-step explanation:

If you plot (5,6) on a graph, and count down 1 point, and over to the left 5 points, you will get to the y-axis. Then, the point that is on the y-axis is the y-intercept. That is 5. The 5 goes at the end of the equation.

Answer:

abad

Step-by-step explanation:

The algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y). (Option D)

A dilation is a type of transformation that changes the size of the shape or object.  It refers to a process of changing an object’s size by decreasing or increasing its dimensions by a scaling factor. A dilation produces an image that has the same shape as the original image but is a different size.

A dilation that results in a larger image is called an enlargement while a dilation that generates a smaller image is called a reduction. A dilation is described using the scale factor and the center of the dilation (which is a fixed point in the plane).

For a scale factor > 1, the image is an enlargement; for a scale factor < 1 and  > 0, the image is a reduction; and for a scale factor = 1, the figure and the image are congruent. Hence, for a point (x,y), algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y) as the scale factor is greater than 1. For the remaining options, the scale factor is between 0 and 1, hence they are reduction.

Note: The question is incomplete. The complete question probably is: Which of the following algebraic representation shows a dilation that is an enlargement? A) (1/3 x,1/3 y) B) (0.1x, 0.1y) C) (5/6 x,5/6 y) D) (5/2 x,5/2 y)

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Answer:

answer: 12

Step-by-step explanation:

You get 12 by doing base × height. So our base in this problem is 2.5 and our height is 4.8 so

2.5 × 4.8 = 12 Hope this helps!

Answer:

22.7%

Explanation:

Given that last year stock for company A was $7200

The stock for company B last year was worth $3510

Stock in company A decreased by 24%

This means the new value of stock for company A became;

(100-24)/100 *$7200

76/100*$7200

0.76*7200 =$5472

Stock in company B decreased by 20%

This means the new value of stock for company B became;

(100-20)/100 *$3510

80/100*$3510

0.8*$3510

$2808

Original investors stock value was = $7200+$3510 =$10710

New investors stock value is = $5472+$2808=$8280

Decrease in value of stock = $10710-$8280 =$2430

percentage decrease in stock value = decrease in stock/original value of stock *100%

=2430/10710 *100 =22.689

=22.7%

Answer:

(x+1)(x+10)(x+2)

Step-by-step explanation:

work below

feel free to ask any questions

Answer:

\(\displaystyle (-1,\frac{-3}{2})\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-3, 1)

Point (1, -4)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Answer:

2.83 x 10^5 = 283,000

Step-by-step explanation:

When you have the 10^5 multiplying to 2.83, you are moving the number further to the left of the decimal, making it larger every power of 10. if it was 4 powers of 10, the answer would be 28,300, 3 powers of 10 would be 2,830, etc.

PS. I think you forgot to add the decimal in 2.83, 283 x 10^5 is not written in Scientific Notation.

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

The quarter is at a height of 258.75 feet when the quarter's height polynomial and the dime's height polynomial are equal at 5/16 seconds.

We can start by setting the two polynomials equal to each other since both the quarter and dime are at the same height at some point.

\(16t^2 + 250 = -16t^2 - 10t + 100\)

By rearranging and simplifying, we can get a quadratic equation in standard form:

\(32t^2 + 10t - 150 = 0\)

Using the quadratic formula, we can solve for t:

t = \((-b \± \sqrt{(b^2 - 4ac))} / 2a\)

where a = 32, b = 10, and c = -150

t =\((-10 \± \sqrt{ (10^2 - 4(32)(-150)))} / 2(32)\)

t = \((-10 \± \sqrt{(2500))} / 64\)

t = \((-10 \± 50) / 64\)

We can discard the negative solution since time cannot be negative. Therefore, t = 5/16 seconds.

To find the height of the quarter at that time, we can substitute t = 5/16 into the polynomial for the quarter:

Quarter: \(16(5/16)^2 + 250\) = 258.75 feet

Therefore, the quarter is at a height of 258.75 feet when the dime and quarter are at the same height.

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The boxes of dog biscuits more that should be ordered so that there would be more dog biscuits is 2.

The first step is to determine the total number of dog biscuits and cat treats. In order to determine these values, multiply the number of boxes by the number of treats or biscuits in each box.

Total number of dog biscuits = total number of boxes x number of biscuits in each box

27 x 18 = 486

Total number of cat treats =  total number of boxes x number of cat treat in each box

21 x 24 =504

Difference in the number of cat treats and dog biscuits = 504 - 486 = 18

For, there to be more dog biscuits than cat treats, the store should buy 2 boxes.

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