first person to answer gets brainlest, tysm
please help :))

Step-by-step explanation:

please mark me as brainlest

Answer:

Explanation:

make x the subject in equation 2,

5x + y = -3

y = -3 - 5x __ equation 2

using substitution method,

-4x + 3(-3 - 5x) = 29

-4x -9 -15x = 29

-19x = 38

x = -2

Find y,

y = -3 - 5x

y = -3 - 5(-2)

y = 7

If A is a symmetric matrix, then A³ is also a symmetric matrix.

To prove this, we can use the definition of a symmetric matrix, which is a matrix that is equal to its transpose. In other words, if A is a symmetric matrix, then A = A^T.

Now, let's look at A³:

A³ = A * A * A

We can replace each A with A^T, since they are equal:

A³ = A^T * A^T * A^T

Now, we can use the property that the transpose of a product of matrices is equal to the product of their transposes in reverse order:

A³ = (A^T * A^T * A^T)^T

A³ = (A^T)^T * (A^T)^T * (A^T)^T

Since the transpose of a transpose is the original matrix, we can simplify:

A³ = A * A * A

Therefore, A³ is also a symmetric matrix.

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The probability that exactly one of their children will have green eyes is 0.234.

Chance is represented by probability. The study of the occurrence of random events is the subject of this mathematical subfield. The value is expressed as a number from 0 to 1.

The probability of having exactly one child with green eyes can be calculated using the binomial distribution:

Let X be the number of children with green eyes.

P(X = 1) = (2 choose 1) * 0.75 * 0.125 = 0.234

Therefore, the probability that exactly one of their children will have green eyes is 0.234.

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The scale factor is 0.67. And the perimeter of the copy of Quadrilateral A will be 16 units.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

The sides of quadrilateral A are 3, 6, 6, and 9. With the smallest side length of 2, quadrilateral B is a scaled version of quadrilateral A.

The scale factor is given as,

Scale factor = 2 / 3

Scale factor = 0.67

Then the other dimension of the copy of Quadrilateral A will be

6 x 0.67, 6 x 0.67, and 9 x 0.67

4, 4, and 6

Then the perimeter of the copy of Quadrilateral A will be

P = 2 + 4 + 4 + 6

P = 16 units

The scale factor is 0.67. And the perimeter of the copy of Quadrilateral A will be 16 units.

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The inverse function of f(x) = -3/(2x + 5) is f^(-1)(x) = (-3/2x) - (5/2).

Let's find the inverse function of f(x) = -3/(2x + 5).

To find the inverse function, we swap the roles of x and y and solve for y. Let's denote the inverse function as f^(-1)(x).

Start with the equation:

y = -3/(2x + 5).

Swap x and y:

x = -3/(2y + 5).

Now, solve for y:

2y + 5 = -3/x.

2y = (-3/x) - 5.

Divide both sides by 2:

y = (-3/2x) - (5/2).

Therefore, the inverse function of f(x) = -3/(2x + 5) is:

f^(-1)(x) = (-3/2x) - (5/2).

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Answer:

Falso.

Step-by-step explanation:

Sea \(d = \frac{a}{b}\) un número racional, donde \(a, b \in \mathbb{R}\) y \(b \neq 0\), su opuesto es un número real \(c = -\left(\frac{a}{b} \right)\). En el caso de elevarse a un exponente dado, hay que comprobar cinco casos:

(a) El exponente es cero.

(b) El exponente es un negativo impar.

(c) El exponente es un negativo par.

(d) El exponente es un positivo impar.

(e) El exponente es un positivo par.

(a) El exponente es cero:

Toda potencia elevada a la cero es igual a uno. En consecuencia, \(c = d = 1\). La proposición es verdadera.

(b) El exponente es un negativo impar:

Considérese las siguientes expresiones:

\(d' = d^{-n}\) y \(c' = c^{-n}\)

Al aplicar las definiciones anteriores y las operaciones del Álgebra de los números reales tenemos el siguiente desarrollo:

\(d' = \left(\frac{a}{b} \right)^{-n}\) y \(c' = \left[-\left(\frac{a}{b} \right)\right]^{-n}\)

\(d' = \left(\frac{a}{b} \right)^{(-1)\cdot n}\) y \(c' = \left[(-1)\cdot \left(\frac{a}{b} \right)\right]^{(-1)\cdot n}\)

\(d' = \left[\left(\frac{a}{b} \right)^{-1}\right]^{n}\)y \(c' = \left[(-1)^{-1}\cdot \left(\frac{a}{b} \right)^{-1}\right]^{n}\)

\(d' = \left(\frac{b}{a} \right)^{n}\) y \(c = (-1)^{n}\cdot \left(\frac{b}{a} \right)^{n}\)

\(d' = \left(\frac{b}{a} \right)^{n}\) y \(c' = \left[(-1)\cdot \left(\frac{b}{a} \right)\right]^{n}\)

\(d' = \left(\frac{b}{a} \right)^{n}\) y \(c' = \left[-\left(\frac{b}{a} \right)\right]^{n}\)

Si \(n\) es impar, entonces:

\(d' = \left(\frac{b}{a} \right)^{n}\) y \(c' = - \left(\frac{b}{a} \right)^{n}\)

Puesto que \(d' \neq c'\), la proposición es falsa.

(c) El exponente es un negativo par.

Si \(n\) es par, entonces:

\(d' = \left(\frac{b}{a} \right)^{n}\) y \(c' = \left(\frac{b}{a} \right)^{n}\)

Puesto que \(d' = c'\), la proposición es verdadera.

(d) El exponente es un positivo impar.

Considérese las siguientes expresiones:

\(d' = d^{n}\) y \(c' = c^{n}\)

\(d' = \left(\frac{a}{b}\right)^{n}\) y \(c' = \left[-\left(\frac{a}{b} \right)\right]^{n}\)

\(d' = \left(\frac{a}{b} \right)^{n}\) y \(c' = \left[(-1)\cdot \left(\frac{a}{b} \right)\right]^{n}\)

\(d' = \left(\frac{a}{b} \right)^{n}\) y \(c' = (-1)^{n}\cdot \left(\frac{a}{b} \right)^{n}\)

Si \(n\) es impar, entonces:

\(d' = \left(\frac{a}{b} \right)^{n}\) y \(c' = - \left(\frac{a}{b} \right)^{n}\)

(e) El exponente es un positivo par.

Considérese las siguientes expresiones:

\(d' = \left(\frac{a}{b} \right)^{n}\) y \(c' = \left(\frac{a}{b} \right)^{n}\)

Si \(n\) es par, entonces \(d' = c'\) y la proposición es verdadera.

Por tanto, se concluye que es falso que toda potencia que se obtiene de elevar a un mismo exponente un número racional y su opuesto es la misma.

The minimum score required for an A grade is approximately 87 when the standard deviation is 7.4 and the mean is 77.1

The standard deviation is a measure of the amount of variation or dispersion in a set of data. It measures how much the individual data points deviate or differ from the mean or average of the data set.

Mathematically, the standard deviation is the square root of the variance, which is calculated by taking the average of the squared differences of each data point from the mean. The formula for the standard deviation is:

σ = sqrt(Σ(x - μ)^2 / n)

where σ is the standard deviation, x is a data point, μ is the mean, and n is the number of data points.

First, we need to find the z-score corresponding to a score that is at the 92nd percentile (the top 8%). We can use the inverse normal distribution function (also known as the probit function) to do this:

invNorm(0.92) ≈ 1.41

This means that a score at the 92nd percentile corresponds to a z-score of approximately 1.41.

Next, we need to convert this z-score to a raw score on the test. We can do this using the formula:

z = (x - μ) / σ

where z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

Rearranging this formula to solve for x, we get:

x = z*σ + μ

Substituting the values we have, we get:

x = 1.41*7.4 + 77.1 ≈ 87.4

Therefore, the minimum score required for an A grade is approximately 87, rounded to the nearest whole number.

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To determine the maximum height of the water in the bucket, we need to consider the shape of the bucket.

Assuming the bucket has a circular cross-section and the water fills the bucket completely, the maximum height can be calculated using the formula for the height of a cylinder.

The formula for the height of a cylinder is given by:

h = V / (π * r²)

where h is the height, V is the volume, and r is the radius of the circular base.

In this case, the outside diameter of the bucket is given as 31.2 cm. The radius can be calculated by dividing the diameter by 2:

r = 31.2 cm / 2 = 15.6 cm

The volume of the cylinder is equal to the volume of the bucket, which can be calculated using the formula for the volume of a cylinder:

V = π * r² * h

Since we want to find the maximum height, we need to find the maximum volume of the bucket. However, without additional information about the shape of the bucket or the volume of the bucket, it is not possible to determine the maximum height of the water in the bucket.

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Step-by-step explanation:

For the first equation to make a line plot a point at negitive 5 then go up three then go one to the right

For the second equation to make a like plot a point at positive 4 then go down three then go one to the left

Answer

is should be -9 but I dont see a model on your question.

Step-by-step explanation:

Answer:

the equation is y = 8x

Step-by-step explanation:

so rn we know that the y-intercept 0 so we can write:

y = mx

now to find the slope we need to use the equation y2 - y1/ x2 - x1

lets use the points

(2, 16) and (-2, -16) sooo

16 - (-16) / 2 - (-2)

32/4

8

Answer:

\(\frac{\pi }{4}\)

Step-by-step explanation:

\(sin^{-1}\) ( \(\frac{\sqrt{2} }{2}\) ) = \(\frac{\pi }{4}\)

Theo simplified the quadratic equation \((x+2)^{2}\)-9=-5 by adding 9 to both sides, resulting in \((x+2)^{2}\)=4. In the next step, he took the square root of each side.

To solve the quadratic equation \((x+2)^{2}\)-9=-5, Theo began by adding 9 to both sides of the equation to eliminate the -9 term. This step allows him to isolate the squared term on one side, resulting in \((x+2)^{2}\)=4.

Theo then proceeded to take the square root of both sides to find the values of x. Taking the square root of \((x+2)^{2}\) yields two possibilities: x+2=2 and x+2=-2. By solving each equation separately, Theo finds the possible solutions.

For x+2=2, he subtracts 2 from both sides to get x=0. This is one solution.

For x+2=-2, he subtracts 2 from both sides to get x=-4. This is the other solution.

Therefore, the final solution to the quadratic equation \((x+2)^{2}\)-9=-5 is x=0 and x=-4. These are the values that satisfy the equation and make it true.

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Answer:

Step-by-step explanation:

Angles that form a straight line are called a linear pair. They are supplementary angles (by definition), so their sum is 180°.

__

Replacing the angle numbers with their values, we can use this relationship.

  120 + x = 180 . . . . use the given numbers in the supplementary angle relationship

  x = 180 -120 . . . . . use the addition property of equality to find x by subtracting 120 from both sides of the equation

  x = 60

The missing angle (x) is 60 degrees.

Answer:

16

Step-by-step explanation:

The objective function formula that is nonlinear is - 2xy/2xy + z

From the question, we have the following parameters that can be used in our computation:

- 2xy/2xy + z

- x + y + z

- 3x - 2y + z

A linear function is a function that has a degree of 1

Other functions with other degrees are nonlinear

Using the above as a guide, we have the following functions with a degree of 1

- x + y + z

- 3x - 2y + z

Hence, the objective function formulas that is nonlinear is - 2xy/2xy + z

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Answer: "y is 125% of x"

Step-by-step explanation:

5/4 = 1.25

Answer:

13 cm

Step-by-step explanation:

The volume (V) of a cube is calculated as

V = s³ ( where s is the side length )

Given

V = 2197, that is

s³ = 2197 ( take the cube root of both sides )

s = \(\sqrt[3]{2197}\) = 13 cm

Answer:

sin x° = opposite ÷ hypotenuse

Step-by-step explanation:

Cosine is represented by the expression adjacent ÷ opposite and sine is represented by opposite ÷ hypotenuse. Only the fourth option lines up with the functions defined above.

If you are having trouble remembering the ratios for each trig function, you can use the acronym SohCahToa. This stands for:

S - sine

o - opposite

h- hypotenuse

C - cosine

a - adjacent

h - hypotenuse

T - tangent

o - opposite

a - adjacent

Answer:

C=20

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:hope this helped!

Answer:

B

Step-by-step explanation:

I don't know but I know it's b I think so

Answer:

b) x2+6

Step-by-step explanation:

got it right on edge22

Carlos harvests cassavas at a constant rate. He needs 353535 minutes to harvest a total of 151515 cassavas.

The ratio of the change in dependent values or outputs to the change in independent values or inputs is known as the rate of change. The change, which also refers to the function's slope, represents the shift in values between two points on a coordinate plane. The formula for the rate of change is (y2 - y1)/, where y stands for the dependent variable and x for the independent variable (x2 - x1).

Given:

Carlos gives  353535 minutes to harvest a total of 151515 cassavas.

Find:

We have to find the total number of cassavas.

Solution:

Carlos harvests cassava at constant rate is 353535 minutes per 151515 cassavas

= 151515/353535

= 0.429

A formula for the quantity of cassava (C) that Carlos harvests each time (T).

This means that after 353535 minutes, 151515 cassavas have been harvested, after 700000 minutes, 300000 cassavas, and so on.

Hence, the required constant rate is 0.429T.

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Answer: Y= 1/3x - 2

Step-by-step explanation:

Answer:

B, 8+12

Step-by-step explanation:

2 + 3 is 5, 4 × 5 = 20

Therefore the only option which equals 20 is B.

Answer:

(0,2)

It increases at the beginning. From 0 to 2 on the x axis

The term "microbiome" refers to all the microorganisms that inhabit a particular location, including their functional genes and metabolites.

The microbiome encompasses the entire collection of microorganisms, including bacteria, viruses, fungi, and other microbes, that reside in a specific environment such as the human gut, soil, or ocean. It extends beyond just the microorganisms themselves to include their collective genetic material (genes) and the products of their metabolism (metabolites). The microbiome is highly diverse and dynamic, playing crucial roles in various biological processes and contributing to the overall health and functioning of the ecosystem it inhabits.

The concept of the microbiome emphasizes the interconnectedness between an organism and its symbiotic microorganisms. For example, the human microbiome refers to the diverse microbial communities that reside within and on the human body, interacting with the host organism in complex ways. These microorganisms not only impact human health but also provide essential functions such as digestion, immune system modulation, and nutrient production. Understanding the composition, diversity, and functional potential of the microbiome is a rapidly evolving field of research, with significant implications for human health, agriculture, and environmental sustainability.

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Answer:  15/64 = 23.43%

Step-by-step explanation:

During each roll, there could be 2 possible outcomes either odd or even which gives us a probability of 50%-50%.

Since the die is rolled 6 times and the possible outcome for each roll is 2

so total possible outcomes are equal to 2x2x2x2x2x2=64 outcomes.

Since we want exactly 2 even outcomes out of 64,

so if assume E= Even & O=Odd.

The possible outcomes for which we get exact to even outcomes are:

1)EEOOOO

2)EOEOOO

3)EOOEOO

4)EOOOEO

5)EOOOOE

6)OEEOOO

7)OEOEOO

8)OEOOEO

9)OEOOOE

10)OOEEOO

11)OOEOEO

12)OOEOOE

13)OOOEEO

14)OOOEOE

15)OOOOEE

Hence total possible outcomes are 15/64

=23.4375%

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Answer:

I think it would just be multiplying by 13.