can somone help me with this math problem. please and thank you

Answer:

The correct answer is 1/24

I'm 100000000000% sure.

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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Answer:

A

Step-by-step explanation:

it will result in the congruence of the figures

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-XxDeathshotxX

Answer:

  x = 2/3  or  point (x, y) = (2/3, 0)

Step-by-step explanation:

You want to know the x-intercept of the line described by 12x +11y = 8.

The x-intercept of a graph is the point where the y-value is zero. For an equation like this, it is easily found:

  12x +11(0) = 8 . . . . use 0 for y

  12x = 8 . . . . . . . . . simplify

  x = 8/12 = 2/3 . . . . . . divide by the coefficient of x and simplify

The x-intercept is x = 2/3, point (2/3, 0).

__

Additional comment

The y-intercept is similarly found.

  0 +11y = 8

  y = 8/11 . . . . y-intercept

Answer:

Maximum Value: ∞

General Formulas and Concepts:

Calculus

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

f(x) = 3x² + x³

Step 2: Find Derivative

Step 3: Analyze

We see that our derivative is the graph of some sort of parabola. The parabola would be opening upwards.

Therefore, the maximum value of the derivative would be ∞, as the parabola's output y infinitely increases.

Answer:

C(-11,-4)

Step-by-step explanation:

Answer:

7 + 2s = 15

4 shirts

Step-by-step explanation:

Let's say w denotes sweaters and s denotes shirts.

Since there are 7 more sweaters than shirts:

w = 7 + s

There are a total of 15 sweaters and shirts in all, so:

w + s = 15

Substitute 7 + s in for w in the second equation:

w + s = 15

7 + s + s = 15

7 + 2s = 15

Solving for s:

7 + 2s = 15

2s = 15 - 7 = 8

s = 8/2 = 4 shirts

Thus, the equation is 7 + 2s = 15, and there are 4 shirts.

~ an aesthetics lover

Yes, the sampling distribution is normally distributed because the population is normally distributed.

A sampling distribution is a chance distribution of a statistic obtained from a larger variety of samples drawn from a specific populace. The sampling distribution of a given population is the distribution of frequencies of a variety of various outcomes that would probable occur for a statistic of a populace.

A sampling distribution is a probability distribution of a statistic this is obtained via drawing a huge variety of samples from a particular populace. Researchers use sampling distributions so that you can simplify the technique of statistical inference.

Solution :

mean = μ40

standard deviation σ σ= 3

n = 10

μx =  40

σ x = σ√n =  3/√10  = 0.9487

μ x =  4σ\x = 0.9487

σx = 0.9487

Yes, the sampling distribution is normally distributed because the population is normally distributed.

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Answer:

affixwritersgmaicom

APP 447520635495

Answer:

8x - 1

Step-by-step explanation:

(a) The probability of zero arrivals during the next minute is approximately 0.2231. (b) The probability of z service times less than or equal to a given value can be calculated using the exponential distribution formula.

(a) The probability of zero arrivals during the next minute can be calculated using the Poisson distribution with a rate of 1.5 per minute. Plugging in the rate λ = 1.5 and the number of arrivals k = 0 into the Poisson probability formula, we get P(X = 0) = e^(-λ) * (λ^k) / k! = e^(-1.5) * (1.5^0) / 0! = e^(-1.5) ≈ 0.2231.

(b) In the second part of the problem, the employee serves each customer in 1 minute on average, and the service times follow an exponential distribution. The probability of z service times less than or equal to a given value can be calculated using the exponential distribution. We can use the formula P(X ≤ z) = 1 - e^(-λz), where λ is the rate parameter of the exponential distribution. In this case, since the average service time is 1 minute, λ = 1. Plugging in z into the formula, we can calculate the desired probability.

Note: Since the specific value of z is not provided in the problem, we cannot provide an exact probability without knowing the value of z.

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Answer:

c

Step-by-step explanation:

im smart

The graph that shows a polynomial function with an even degree is option D.

A function is a law that relates two variables, a dependent and an independent variable with each other.

The domain and range of a function is always defined, the domain is all the values that can be an input to the function and the range is all the valuess that a function can have.

A function that involves positive integer powers as exponents of a variable in an equation is called a polynomial function, like the quadratic equation,

An even degree polynomial function, represented by y = x², have graphs that either open upwards or downwards.

A function is even if, for each x in the domain of f, f (- x) = f (x).

In an even function, the graph is symetrically along y axis.

The only graph that is symmetrical along the y axis is graph D.

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Answer:

A histogram would be the most appropriate graph to display the distribution of scores and identify clusters and gaps.

Step-by-step explanation:

Answer:

In Triangle A all angles are equal and in B only angles q and a are equal

Step-by-step explanation:

Triangle A is an equilateral triangle which means all angles are the same but since Triangle B is an Isosceles Traiangle means only two angles are equal

The measure of angles which are equal in each triangle  

Using the definition,

"the angles opposite to the legs are equal to each other."

Two Triangles are given names as Triangle A and Triangle B.

As, in first triangle all the sides are equal and angles opposite to the sides are equal to each other.

So, x = y = z

Now, in second triangle two sides are equal and angles opposite to the sides are equal to each other.

So, <q = <s

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Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is 70π/3.

To find the area between the large loop and the small loop of the curve, we need to find the points of intersection of the curve with itself.

Setting the equation of the curve equal to itself, we have:

2 + 4cos(3θ) = 2 + 4cos(3(θ + π))

Simplifying and solving for θ, we get:

cos(3θ) = -cos(3θ + 3π)

cos(3θ) + cos(3θ + 3π) = 0

Using the sum to product formula, we get:

2cos(3θ + 3π/2)cos(3π/2) = 0

cos(3θ + 3π/2) = 0

3θ + 3π/2 = π/2, 3π/2, 5π/2, 7π/2, ...

Solving for θ, we get:

θ = -π/6, -π/18, π/6, π/2, 5π/6, 7π/6, 3π/2, 11π/6

We can see that there are two small loops between θ = -π/6 and π/6, and two large loops between θ = π/6 and π/2, and between θ = 5π/6 and 7π/6.

To find the area between the large loop and the small loop, we need to integrate the area between the curve and the x-axis from θ = -π/6 to π/6, and subtract the area between the curve and the x-axis from θ = π/6 to π/2, and from θ = 5π/6 to 7π/6.

Using the formula for the area enclosed by a polar curve, we have:

A = 1/2 ∫[a,b] (r(θ))^2 dθ

where a and b are the angles of intersection.

For the small loops, we have:

A1 = 1/2 ∫[-π/6,π/6] (2 + 4cos(3θ))^2 dθ

Using trigonometric identities, we can simplify this to:

A1 = 1/2 ∫[-π/6,π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ

Evaluating the integral, we get:

A1 = 10π/3

For the large loops, we have:

A2 = 1/2 (∫[π/6,π/2] (2 + 4cos(3θ))^2 dθ + ∫[5π/6,7π/6] (2 + 4cos(3θ))^2 dθ)

Using the same trigonometric identities, we can simplify this to:

A2 = 1/2 (∫[π/6,π/2] 20 + 16cos(6θ) + 8cos(3θ) dθ + ∫[5π/6,7π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ)

Evaluating the integrals, we get:

A2 = 80π/3

Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is:

A = A2 - A1 = (80π/3) - (10π/3) = 70π/3

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Answer:

Discrete

Step-by-step explanation:

Discrete is the type of variable in which the number of auto accidents reported in a given month q

Discrete data is a count that uses integers and has a finite number of potential values. This sort of information can't be broken down into smaller chunks. Discrete data consists of finite, numeric, countable, and non-negative integers with discrete variables.

As we know that the number of auto accidents that can be reported in a month will be always a whole number, therefore, the number of accidents can be represented as 0, 1, 2,..., 1000, etc.

Thus, the type of variable is the number of auto accidents reported in a given month is Discrete.

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Answer:

The symbol used to indicate the principle root of a number is called a radical

The number used to indicate the exponent associated with the root is called the radical index

If the answer to the cube root of eight is two then eight is considered the radicand

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To determine if a differential form is exact, we need to check if its partial derivatives satisfy the condition of equality. If the differential form is not exact, we can multiply it by an integrating factor to make it exact.

Given a differential form of the form M(x, y)dx + N(x, y)dy, we can determine if it is exact by checking if ∂M/∂y = ∂N/∂x. If this condition is not satisfied, the differential form is not exact. However, we can multiply the differential form by an integrating factor to make it exact.

By multiplying the original differential form by an integrating factor, which is usually a function of either x or y, the resulting form will have equal partial derivatives, satisfying the condition for exactness. The integrating factor effectively "corrects" the form and makes it exact.

By finding the appropriate integrating factor and multiplying it with the given differential form, we can transform it into an exact form. This process is a fundamental technique in solving certain types of differential equations and allows us to find solutions that would otherwise be challenging to obtain.

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Answer:

Step-by-step explanation:

4 x 3 + 3 x 5 - 13: 7

12+15-62748517

=-62748490

Ashley can expect her salary to be approximately $58,294 five years after she started working at Blue Ridge Hospital.

To write an exponential equation that models Ashley's salary, we can use the form y = a(b)^x, where y represents the salary, x represents the number of years, a represents the initial salary, and b represents the common ratio by which the salary increases each year.

Given that Ashley's starting salary was $54,000, we have a = 54,000. After one year, her salary rose to $55,080. This gives us the first data point (1, 55,080) to help determine the value of b.

To find the common ratio, we can divide the salary after one year by the initial salary:

b = (55,080)/(54,000) ≈ 1.02

Now we have the values of a and b, so we can construct the exponential equation:

y = 54,000(1.02)^x

To determine Ashley's salary 5 years after she started working, we substitute x = 5 into the equation:

y = 54,000(1.02)^5 ≈ 58,294

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\(\\ \qquad\quad\sf\longmapsto 30\%\:of\:210\)

\(\\ \qquad\quad\sf\longmapsto \dfrac{30}{100}\times 210\)

\(\\ \qquad\quad\sf\longmapsto \dfrac{6300}{100}\)

\(\\ \qquad\quad\sf\longmapsto 63\)

Step-by-step explanation:

\(★→30\% \: of \: 210 \\=>\frac{30}{100} \times 210 \\ =>\frac{6300}{100} \\ => \boxed{63}✓\)

Answer:

Step-by-step explanation:

√169 = 13

square root and two digits after dot means the result need to has one digit after dot (number of digits after dot divided by 2 because of square root)

so √1.69 = 1.3

Absolute value x, -x

|n| + 2 ≥ 5

then

|n| ≥ 5 - 2

|n| ≥ 3

Then eliminate parenthesis

n ≥ 3

and

n ≤ -3

Then answer is

n ≤ - 3,. 3 ≤ n

Graph of |n| + 2 ≥ 5

Question 9

|x - 2| - 5 < -2

then

|x - 2| < 5 - 2

|x - 2| < 3

Then eliminate parenthesis

x - 2 < 3

(x - 2) < -3

Then answer is

x< 5

x < -1

New graph question 9

a. Graph the velocity function for 0 ≤ t ≤ 100. When is the velocity a maximum? When is the velocity zero?Graph of the velocity function is shown below:From the graph, we can see that velocity is maximum at t = 55 seconds. Velocity is zero at t = 20 seconds and t = 75 seconds.b.

What is the distance traveled by the automobile in the first 35 s?To find the distance traveled in the first 35 seconds, we need to find the area under the velocity graph for t = 0 to t = 35.Distance traveled in the first 35 seconds = Area under the velocity graph for t = 0 to t = 35Area of triangle OAB = 1/2 × 40 × 20 = 400 m²Area of rectangle BCDE = 35 × 40 = 1400 m²Distance traveled in the first 35 seconds = 400 + 1400 = 1800 metersc. What is the distance traveled by the automobile in the first 75 s?

To find the distance traveled in the first 75 seconds, we need to find the area under the velocity graph for t = 0 to t = 20 and t = 20 to t = 55 and t = 55 to t = 75.Distance traveled in the first 75 seconds = Area under the velocity graph for t = 0 to t = 75Area of triangle OAB = 1/2 × 40 × 20 = 400 m²Area of rectangle BCDE = 35 × 40 = 1400 m²Area of triangle EFG = 1/2 × 21 × 5 = 52.5 m²Area of rectangle GHJI = 20 × 21 = 420 m²Area of triangle KJI = 1/2 × 21 × 15 = 157.5 m²Distance traveled in the first 75 seconds = 400 + 1400 + 52.5 + 420 + 157.5 = 2430 metersd.

What is the position of the automobile when t = 85?To find the position of the automobile when t = 85 seconds, we need to find the area under the velocity graph for t = 0 to t = 20 and t = 20 to t = 55 and t = 55 to t = 85.Position of the automobile when t = 85 seconds = Area under the velocity graph for t = 0 to t = 85Area of triangle OAB = 1/2 × 40 × 20 = 400 m²Area of rectangle BCDE = 35 × 40 = 1400 m²Area of triangle EFG = 1/2 × 21 × 5 = 52.5 m²Area of rectangle GHJI = 20 × 21 = 420 m²Area of triangle KJI = 1/2 × 21 × 30 = 315 m²Area of rectangle ILMN = 10 × 150 = 1500 m²Position of the automobile when t = 85 seconds = 400 + 1400 + 52.5 + 420 + 315 + 1500 = 3087.5 meters. Answer: (a) Maximum velocity is attained at t = 55 seconds and the velocity is zero at t = 20 seconds and t = 75 seconds.(b) Distance traveled by the automobile in the first 35 seconds is 1800 meters.(c) Distance traveled by the automobile in the first 75 seconds is 2430 meters.(d) Position of the automobile when t = 85 seconds is 3087.5 meters.

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\(\left(\sqrt{z^{2}+8} \right)^{2}=(1-2z)^{2}\\\\z^{2}+8=4z^{2}-4z+1\\\\0=3z^{2}-4z-7\\\\0=(z+1)(3z-7)\\\\z=-1, z=\frac{7}{3}\)

We know that if z=7/3, the right-hand side will be negative, which means it is an extraneous solution as square roots cannot be negative.

Answer:

Yes

Step-by-step explanation:

1:3

2:6

3:9

4:12

Look at those ratios as fractions. You can simplify 2/6, 3/9, and 4/12 to 1/3, so the answer is yes!

The general solution for the differential equation y^(4) + 8y" – 9y = 0 is y(x) = C1 * e^(1x) + C2 * e^(-1x) + C3 * e^(3ix) + C4 * e^(-3ix).

To find a general solution for the differential equation y^(4) + 8y" - 9y = 0, we will use the following terms: characteristic equation, auxiliary equation, and general solution.

Step 1: Write the characteristic (auxiliary) equation.
Replace the derivatives with powers of 'r' and set the equation equal to zero:
r^4 + 8r^2 - 9 = 0.

Step 2: Solve the characteristic equation.
This is a quadratic equation in r^2. Let's substitute x = r^2:
x^2 + 8x - 9 = 0.

Now, solve for x:
(x - 1)(x + 9) = 0.

The solutions for x are x1 = 1 and x2 = -9.

Step 3: Find the solutions for 'r'.
Since x = r^2, we can find the solutions for 'r':
r1 = sqrt(1) = 1,
r2 = -sqrt(1) = -1,
r3 = sqrt(-9) = 3i,
r4 = -sqrt(-9) = -3i.

Step 4: Write the general solution.
Now, using the values of 'r' that we found, we can write the general solution:
y(x) = C1 * e^(1x) + C2 * e^(-1x) + C3 * e^(3ix) + C4 * e^(-3ix).

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Answer:

x=72

Step-by-step explanation:

\(x\div 9=8\)

Multiply both sides by 9 to isolate x:

\(x=8\cdot 9=72\)

Hope this helps!