if \: x + y + z = 0 \: then \: show \: that \: {x}^{3} + {y}^{3 } + {z}^{3} =3xy
​

By using the diagram, we can see that ratio of fish to total number of pets is:

3 : 4

So the correct option is C.

We can see on the diagram that Kayla has:

9 fish

3 cats.

Then she has in total 3 + 9 = 12 pets.

Then the ratio of fish to total pets is:

9: 12

We can divide both sides by 3 so we get a similar ratio, we will get:

9/3 : 12/3

3: 4

The correct option is C.

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The correct statements regarding the function in the graph are given as follows:

B. The function does not reach a maximum value.

C The function is increasing for all values of x larger than 2.

The function is defined for values of x or 2 and greater, and the function is increasing until infinity(hence it does not reach a maximum value) for all these values, hence statements B and C are correct.

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Answer:

➪          

⚠︎ ☻︎

ℍ ꨄ︎

The answer is E (4,5)

-4 + 9= 5

therefore y must be 5 so it is E.

Answer:

105 minutes

Step-by-step explanation:

\(1 \frac{3}{4} = 1 hour + \frac{3}{4} hour\)

1 hour = 60 minutes

\(\frac{3}{4} \times 60 = 3 \times 15 = 45 minutes\)

\(Therefore \ , \ 1 \frac{3}{4} = 60 + 45 = 105\ minutes\)

The values of \(1\dfrac{3}{4}\) hours in minutes is 105 minutes.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculations

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given data as :

It takes \(1\dfrac{3}{4}\) hours to cook a large chicken in the oven.

⇒  \(1\dfrac{3}{4}\) hours = 1 hours + 3/4 hours

∵ 1 hour = 60 minutes

∴ 3/4 hours = (3/4)×60 = 45 minutes

Substitute the values in above equation,

⇒  \(1\dfrac{3}{4}\) hours = 60 minutes + 45 minutes

⇒  \(1\dfrac{3}{4}\) hours = 105 minutes

Hence, the values of \(1\dfrac{3}{4}\) hours in minutes is 105 minutes.

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The statement is true. A system of linear equations is considered homogeneous if it can be written in the form Ax = 0, where A is an mxn matrix and 0 is the zero vector in Rm. If the zero vector is a solution, then b = Ax = A0 = 0.

The definition of a homogeneous system of linear equations is one where the right-hand side vector, b, is the zero vector. In other words, it can be represented as Ax = 0, where A is an mxn matrix and 0 is the zero vector in Rm.

If the zero vector is a solution to the system, it means that when we substitute x = 0 into the equation Ax = 0, it satisfies the equation. This can be confirmed by multiplying A with the zero vector, resulting in A0 = 0. Therefore, the statement correctly states that b = Ax = A0 = 0.

Hence, the correct answer is A. The statement is true. A system of linear equations is said to be homogeneous if it can be written in the form Ax = 0, where A is an mxn matrix and 0 is the zero vector in Rm. If the zero vector is a solution, then b = Ax = A0 = 0.

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The p-value of the given hypothesis is; 0.9999

The formula for the z-score of proportions is;

z = (p^ - p)/√(p(1 - p)/n)

where;

p^ is sample proportion

p is population proportion

n is sample size

We are given;

p^ = 15% = 0.15

p = 20% = 0.2

n = 5000

Thus;

z = (0.15 - 0.2)/√(0.2(1 - 0.2)/5000)

z = -8.8388

From p-value from z-score calculator, we have;

P(Z < -8.8388) = 1 - 0.0001 = 0.9999

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Answer:

15%

Step-by-step explanation:

hopefully this helps

Answer:

15%

Step-by-step explanation:

We do

80 * x/100 = 12

8000x = 1200

x=.15

.15 is percentage is 15%

The derivative of y = (5x6 − 3x4 + 2x2 − 1)(4x9 + 3x7 − 5x2 + 4x) is (30x^5 - 12x^3 + 4x)(4x^9 + 3x^7 - 5x^2 + 4x) + (5x^6 - 3x^4 + 2x^2 - 1)(36x^8 + 21x^6 - 10x + 4).

Using the product rule of differentiation, we have:

y' = (5x^6 - 3x^4 + 2x^2 - 1)'(4x^9 + 3x^7 - 5x^2 + 4x) + (5x^6 - 3x^4 + 2x^2 - 1)(4x^9 + 3x^7 - 5x^2 + 4x)'

Taking the derivative of the first term using the power rule, we get:

(5x^6 - 3x^4 + 2x^2 - 1)' = 30x^5 - 12x^3 + 4x

Taking the derivative of the second term using the product rule, we get:

(4x^9 + 3x^7 - 5x^2 + 4x)' = 36x^8 + 21x^6 - 10x + 4

Therefore, we have:

y' = (30x^5 - 12x^3 + 4x)(4x^9 + 3x^7 - 5x^2 + 4x) + (5x^6 - 3x^4 + 2x^2 - 1)(36x^8 + 21x^6 - 10x + 4)

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volume= 16/3, A coordinate plane is a graphing and description system for points and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants in the coordinate plane. The point where these lines connect is called the origin (0, 0).

limits

z= 0 to z = 4-y-2x

y= 0 to y = 4- 2x

x= 0 to x= 2

volume

v= \(\int\limits^2_0 \int\limits^4_0 \int\limits^4_0 dzdydx\)

v= \(\int\limits^2_0 \int\limits^4_0 (4-y-2x) dydx\)

v= \(\int\limits^2_0 ( 4y- y^{2} / 2 - 2xy) ^4^-^2^x _0\)

dx= \(\int\limits^2_0 [ 16-8x - 16+ 4x^2 - 16x / 2 - 8x+ 4x^2 ] dx\)

v= \(\int\limits^2_0 [ 8+ 2x^2- 8x] dx\\\)

= [ 8x + 2x^3 / 3 - 8x^2 / 2 ] ^2_0

= [16+ 16/3- 16]

v= 16/3

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Complete Question

Question: Sketch The Tetrahedron Enclosed By The Coordinate Planes And The Plane 2x+Y+Z=4. Use A Triple Integral To Find The Volume Of The tetrahedron

Consequently, the solution of the given problem of perimeter comes out to be 24.5 inches will be adequate to build the bird house, which needs 24 inches.

The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges.

Here,

As stated, Hodi is making a birdhouse.

Four walls make up a birdhouse.

There must be 5.5 inches on each wall.

Board = 24.5 inches for Hodi.

Using comparable numbers, we must now estimate.

6 in. is a suitable size for 5.5 in.

The entire amount of wood needed to construct the bird home will be determined first.

The amount of board needed is equal to the number of walls in the house times the length of each wall.

Required total board:   4 x 6 = 24 inches for a wall count multiplied by the length of each wall.

It takes 24 inches of board in total.

His board is 24.5 inches long.

Consequently, the solution of the given problem of perimeter comes out to be 24.5 inches will be adequate to build the bird house, which needs 24 inches.

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The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

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Answer:

4.0731 cm

Step-by-step explanation:

Use pythagorean Theorem which is a^2 + b^2 = c^2 where a and b are the sides of the triangle and c is the hypotenuse, in other words the longest side.

Since x is in line with the center of the circle and is perpendicular with line that measures 15.6 cm we know that one side of the triangle is half of 15.6 or 7.8.

So then we input our known values into the formula and solve for the missing one. The formula looks like this

7.8^2 + b^2 = 8.8^2

solve for b and you get about 4.07431

your very welcome

Answer:

X= 4.1

Step-by-step explanation:

Other answer wasn't rounded.

X= 4.1 cm

The perimeter measures around 36 metre.

The perimeter refers to the area surrounding an object. For instance, your house has a fenced-in yard. The perimeter is the length of the fence. If the yard is 50 feet by 50 feet, your fence is 200 feet long.

While 12.74 rounds up to 13, 5.45 rounds down to 5. Recatangle created a total of four sides, two of which are identical in length to the other two (which is a poor way to explain it). There are two sides that are 13 inches long and two sides that are 5 inches long, which is the solution to this question. When added together, the perimeter would be 13+13+5+5.

As an expression,

2(13)+2(5)

=26+10

=36.

The perimeter is approximately 36 meters.

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To determine examples with a net torque of zero about the axis perpendicular to the page and extending from the center of the puck, we need to consider the conditions for torque equilibrium.

Torque is the rotational equivalent of force, and it depends on the force applied and the lever arm distance. To have a net torque of zero, the sum of the torques acting on an object must balance out. In this case, the axis is perpendicular to the page and extends from the center of the puck.

The applied forces must have equal magnitudes but act in opposite directions, creating a balanced couple. Without specific examples provided, it is not possible to determine the scenarios with a net torque of zero. The examples would need to be given in terms of the forces applied, their magnitudes, and the corresponding lever arm distances.

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Answer:

x = 5, x = 3

Step-by-step explanation:

Hello!

For the equation (x-5)(7x - 21) = 0, we can use the zero-product property to solve the equation.

The zero product property states that for factors when multiplied equal to 0, you can set each factor to 0 and solve for the variable inside.

Using this property, we can say:

The solutions are x = 5, and x = 3.

Answer:

ur mom

Step-by-step explanation:

ur mom

To maximize profits, the firm should produce a quantity of goods x = 5 and y = 10, based on the cost function and price constraints.

To maximize profits, the firm needs to find the quantities of goods x and y that will yield the highest profit. The profit function can be defined as the revenue minus the cost. Revenue is calculated by multiplying the quantity of each good produced with their respective prices, while the cost function is given as C(x, y) = 10x + xy + 10y.

The firm is committed to delivering a total of 15 units, which can be expressed as x + y = 15. To determine the optimal production quantities, we need to maximize the profit function subject to this constraint.

By substituting the price expressions Ps = 50 - x + y and Py = 50 - x + y into the profit function, we obtain the profit equation. To find the maximum profit, we can take the partial derivatives of the profit equation with respect to x and y, set them equal to zero, and solve the resulting system of equations.

Solving the equations, we find that the optimal production quantities are x = 5 and y = 10, which maximize the firm's profits.

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Answer:

good night

sweet dreams

Step-by-step explanation:

point x at 2 and point y at -4

Ira enters a competition to guess how many buttons are in a jar. The percent error of Ira's guess is 25%.

Given that:

The percent error is the difference between the exact value and the approximate value guessed divided by the exact value and then multiplied by 100.

Mathematically;

\(\mathbf{Percent \ error = \dfrac{250 - 200}{200} \times 100}\)

\(\mathbf{Percent \ error = \dfrac{50}{200} \times 100}\)

Percent error = 25%

In a percentage of 100, Ira guess was off by:

= (100 - 25)%

= 75%

Therefore, we can conclude that the percent error of Ira's guess is 25%.

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Answer:

The Precent Error is 20%

Ira's guess was off by 20%

(5, 4) is not a solution of the equation y = -2x + 14 y = -3x - 11.

System of equation can be solved using different method such as elimination method, substitution method and graphical method.

Let's find the solution of the system of equation as follows:

y = -2x + 14

y = -3x - 11

using substitution method,

-3x - 11 = -2x + 14

-3x + 2x = 14 + 11

-x = 25

y = -2(25) + 14

y = -50 + 14

y = -36

Therefore, (5, 4) is not a solution.

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Answer:

2.8 x 10^-5

Step-by-step explanation:

Finding the numeric value of the regression equation, the best prediction of Riley's height is given by:

65.84 inches.

To find the numeric value of a function, we replace each instance of the variable in the function or in the expression by the desired value.

The regression equation in this problem gives the armspan of a person, represented by y, as a function of the height x as follows:

y = 1.123x - 6.443.

Riley has an armspan of 67.5 inches, hence y = 67.5, and we can find the best prediction for his height replacing the lone instance of y in the equation by 67.5 and solving for x, as follows:

67.5 = 1.123x - 6.443.

1.123x = 67.5 + 6.443

x = (67.5 + 6.443)/1.123

x = 65.84 inches, which is the best prediction.

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Answer:

It’s B

Step-by-step explanation:I did it on edge 2022 got it right!

Answer:

\(\boxed{0} < x < \boxed{4}\)

Step-by-step explanation:

The graph is y = x² - 4x

For  x² - 4x < 0 find out the interval of x
Factor x² - 4x ==> x(x - 4)

x² - 4x < 0 ==> x(x-4) < 0

Find the x-intercepts where x(x - 4) = 0

x(x - 4) = 0 means
x = 0 or x - 4 = 0
x - 4 = 0 ==> x = 4
These are critical points where the function changes sign

From the graph we see that the function has a value of 0 at x = 0 and x = 4 and is negative between 0 and 4

So the range of values for x where x² - 4x < 0 is

\(\boxed{0} < x < \boxed{4}\)

Hope that makes sense. If not, please ask questions

Answer:

A. $ (5 + 2x), B. = $ 305

Step-by-step explanation:

x miles

A. cost for x miles = 5 + 2x ($)

B. cost for 150 miles = 5 + 2*150 =305 ($)

Answer:

A. let the mile driven = x

5 + 2x

B. × = 150 mile

taxi service = $5 + $2(150)

= $305

*in an equation u dont have to write the symbol . for example, $, ml, km, etc.

Answer:

205.03125.

Step-by-step explanation:

18/12 = 1.5

27/18 = 1.5

This is geometric with nth term = ar^(n-1)

Here first term a = 12 and common ratio r = 1.5, so

The 8th term = 12(1.5)^(8-1)

= 205.03125