Find the inverse of the following matrix. Write entries as integers or fractions in lowest terms. If the matrix is not invertible, type "N" for all entries. -5-1021 A = -2-5 9 1 2 -4

Answer:

− 2 sin ( 0 ) ⋅ sin ( 0 ⋅ π /0 m ) + cos ( 0 ) ⋅ cos ( 0 ⋅ π /0 m ) = 0  is not an identity

Step-by-step explanation:

On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

here,

total is 500

obtained is 400

so, percentage - 400/500 X 100 = 80%

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Answer:

62.86

Step-by-step explanation:

Add the cost of things without sales tax:

32.5+ (13×2)=58.5

Convert percent to decimal:

8/100=0.08

Multiply cost without sales tax by sales tax to get the amount added to the cost:

0.08×58.2=4.656

Add cost and sales tax amount to get total payment:

4.656+58.5=62.856

Round the total payment to the nearest hundredth place:

62.86

The graph of the absolute value function can be seen at the end of the answer. There we see a translated and dilated parent function.

Here we want to graph:

g(x) = 5*|x - 6| + 2

First, remember that the minimum of the absolute value part |f(x)| is 0, so the minimum of the above function is 2, and that happens when x = 6. That will be the vertex of our function.

From that point, we will have two lines, one that goes to the right with a slope of 5, and the other that goes to the left with slope of -5 (the coefficient that multiplies the absolute value part of the function).

The graph of the function can be seen below.

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Answer:6,2 & 7,7

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

They are relevant

3x=75

x=75/3

x=25

The expression that is equivalent to (-2)^4/(-2)^2 is (-2)^6/(-2)^4

The expression is given as:

(-2)^4/(-2)^2

Apply the law of indices

(-2)^4/(-2)^2 = (-2)^(4 -2)

4 - 2 has the same value as 6 - 4

So, we have:

(-2)^4/(-2)^2 = (-2)^(6-4)

Apply the law of indices

(-2)^4/(-2)^2 = (-2)^6/(-2)^4

Hence, the expression that is equivalent to (-2)^4/(-2)^2 is (-2)^6/(-2)^4

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a. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores. b. The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

(a) To find the probability that the sample mean will be within ±5 of the population mean, we can use the Central Limit Theorem (CLT) and the properties of a normal distribution.

The sample mean, is an unbiased estimator of the population mean, μ. According to the CLT, the distribution of sample means approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

     = 200 / √400

     = 200 / 20

     = 10

To find the probability that the sample mean will be within ±5 of the population mean, we can standardize the interval using the z-score:

For the lower bound (-5), the z-score is (-5 - 0) / 10 = -0.5.

For the upper bound (+5), the z-score is (5 - 0) / 10 = 0.5.

We can now use a standard normal distribution table or technology (such as a calculator or statistical software) to find the probability associated with the z-scores -0.5 and 0.5. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores.

(b) To find the probability that the sample mean will be within ±10 of the population mean, we follow the same steps as in part (a).

The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

Note: Since the question mentions rounding answers to four decimal places, please use the appropriate table or technology to obtain the precise probabilities for parts (a) and (b).

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Answer:

X= -1

Step-by-step explanation:

2x+5=1(x+4)

2x+5=1x+4

2x-1x=-5+4

x=-1

To sketch a graph of y = f(x) that satisfies the given requirements on the interval 0 <= x <= 10, we need to have more information about the specific requirements of the function.  However, we can make some general suggestions for how to approach the problem.

First, we should determine the type of function we are dealing with. Is it linear, quadratic, exponential, trigonometric, or some other type of function? This will affect the shape of the graph and give us an idea of how to start plotting the points.

Next, we should consider any specific points or features that we need to include in the graph. For example, if the function needs to pass through a certain point or have a certain slope, we can use this information to determine additional points on the graph.

Finally, we should make sure that the graph satisfies the given interval of 0 <= x <= 10. This means that the graph should not extend beyond this range, and any points outside of this interval should be excluded.

Overall, to sketch a graph of y = f(x) that satisfies the given requirements on the interval 0 <= x <= 10, we need to carefully consider the function type and any specific requirements, plot the points accordingly, and make sure the graph is within the given interval.

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Answer:

B

Step-by-step explanation:

It seems more reasonable

Answer:

d=-9

Step-by-step explanation:

Answer:

15=6-d

-d=15+6=9

d=-9

Step-by-step explanation:

Answer:

A. x²/y³

Step-by-step explanation:

Given the following data;

Length = x³y⁴

Width = \( xy^{7}\)

Ratio = length/width

\( Ratio = \frac{x^{3}y^{4}}{xy{^7}}\)

Simplifying the equation by applying the law of indices (division), we have;

\(\frac{x^{3}}{x} = x^{3} - x^{1} = x^{3-1} = x^{2} \)

\(\frac{y^{4}}{y^{7}} = y^{4} - y^{7} = y^{4-7} = y^{-3} \)

Hence, rearranging the above values;

\( Ratio = \frac{x^{2}}{y^{3}}\)

Therefore, the expression that represents the ratio of the length of the rectangle to the width of the rectangle is A. x²/y³.

It based on this estimation method, the population of dolphins in Ingall Bay is estimated to be around 160.To estimate the population of dolphins in Ingall Bay, we can use the mark and recapture method.

The idea behind this method is that the proportion of tagged dolphins in a second sample reflects the proportion of tagged dolphins in the overall population.

Let's denote the total population of dolphins as P. We can set up a proportion based on the number of tagged dolphins:

Tagged dolphins / Total second sample = Tagged dolphins in population / Total population

Given that 7 dolphins out of 56 in the second sample have tags, and we tagged 20 dolphins initially, we can set up the proportion as:

7 / 56 = 20 / P

Now, we can solve for P by cross-multiplying and then dividing:

7P = 20 * 56

7P = 1120

P = 1120 / 7

P = 160.

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The derivative and domain of the function f(x) = x²-2x³  is :\((-\infty, \infty)\).

The slope of a function's graph or, more precisely, the slope of the tangent line at a point can be used to interpret a function's derivative.

Its computation actually stems from the slope formula for a straight line, with the exception that curves require the employment of a limiting procedure.

Calculation for the derivative:

Step 1: Use the definition of the derivative. Remember that f(x+h) means plug (x+h) into everywhere there is an "x" in f(x).

\(\begin{aligned}f^{\prime}(x) &=\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h} \\&=\lim _{h \rightarrow 0} \frac{(x+h)^{2}-2(x+h)^{3}-\left(x^{2}-2 x^{3}\right)}{h} \\&=\lim _{h \rightarrow 0} \frac{\left(x^{2}+2 h x+h^{2}\right)-2(x+h)(x+h)^{2}-x^{2}+2 x^{3}}{h} \quad \text { cancel } x^{2}\end{aligned}\)

       \(\begin{aligned}&=\lim _{h \rightarrow 0} \frac{\left(2 h x+h^{2}\right)-2(x+h)\left(x^{2}+2 h x+h^{2}\right)+2 x^{3}}{h} \\&=\lim _{h \rightarrow 0} \frac{\left(2 h x+h^{2}\right)-2\left(x^{3}+2 h x^{2}+h^{2} x+h x^{2}+2 h^{2} x+h^{3}\right)+2 x^{3}}{h} \\&=\lim _{h \rightarrow 0} \frac{2 h x+h^{2}-2 x^{3}-4 h x^{2}-2 h^{2} x-2 h x^{2}-4 h^{2} x-2 h^{3}+2 x^{3}}{h}\end{aligned}\)

       \(=\lim _{h \rightarrow 0} \frac{2 h x+h^{2}-6 h x^{2}-6 h^{2} x-2 h^{3}}{h}\)

Step 2: Cancel out a factor of h from each term in the numerator with the h in the denominator. Then direct substitute h=0.

      \(\begin{aligned}&=\lim _{h \rightarrow 0}\left(2 x+h-6 x^{2}-6 h x-2 h^{2}\right) \\&=2 x+0-6 x^{2}-6(0) x-2(0)^{2} \\&=2 x-6 x^{2}\end{aligned}\)

f and f' are polynomials, so their domains are all real numbers.

Therefore,  for f(x) = x²-2x³      domain of f and f' :\((-\infty, \infty)\).

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The complete question is -

Find the derivative of the function using the definition of derivative. State the domain of the function and the domain of its derivative f(x) = x²-2x³.

Answer:its c

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

The answer is A because a reflection would be Reflected so its on the right side of the graph and the Z is facing the other way as if it were a literal reflection which it is.

Hope my awkward way of explaining this helps you on your test since i just passed mine and it said A was correct.

The integral of the function is A = tan ( 2x + π/4 ) - 1

Given data ,

Let the function be represented as F

Now , the value of F is

F = ∫₀ˣ 2 sec² ( 2t + π/4 ) dt

On simplifying the integral , we get

A = 2 ∫₀ˣ sec² ( 2t + π/4 ) dt

On applying u-substitution , we get

A = 2 ∫ ( π/4 ) to ( 2x+π/4) sec² ( u ) du

Now , A = 2 ( 1/2 ) [ tan u ] ( π/4 ) to ( 2x+π/4)

On further simplification , we get

A = tan ( 2x + π/4 ) - 1

Hence , the integral is A = tan ( 2x + π/4 ) - 1

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Answer:

Step-by-step explanation:

3x+2y=12   x= −2/ 3 y+4

3x-y=3    x= 1 /3 y+1

i hope this helps in anyway :/

The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)

If it is written in the form of ax + by + c = 0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.

Given that the system of linear equations;

3x + 2y = 12 and 3x − y = 3 is

Solving the equations by elimination, we get

x = 2 and y = 3

Hence, The solution of the system of linear equations 3x + 2y = 12 and 3x − y = 3 is (x = 2, y = 3)

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Solution

- The eccentricity of an ellipse is given below:

- The eccentricity is 0.87

- Because the eccentricity is close to 1, it means it is flatter than normal. Thus, it is "elongated then circular"

Final Answer

- The eccentricity is 0.87

- "elongated then circular"

Answer:

B

Step-by-step explanation:

Graph shrinks, that means for every x value there is a higher y value. So coefficient of x is definitely more than 1. Try to substitute x = 1 to (9x)^2 and (3x)^2.

(3(1))^2 = 9

Answer:

d. 10 milimeters

Step-by-step explanation:

Answer:

10 milimeters

Step-by-step explanation:

100/700 = x/70

x = 10

The range of a set of values is the difference between the maximum and minimum values in the set, the range is 3 - (-2) = 5.

The expression "X - Y" subtracts the value of Y from each value in the set X. If Y is assigned the value 2, then for each x in X, we have:

X - Y = x - 2

the calculation of X - Y for each value in the set X = (0, 1, 2, 3, 4, 5) with

Y = 2

So, if X = (0,1,2,3,4,5), then:

(0) - 2 = -2

(1) - 2 = -1

(2) - 2 = 0

(3) - 2 = 1

(4) - 2 = 2

(5) - 2 = 3

So, the resulting set is (-2, -1, 0, 1, 2, 3).

The resulting set is (-2, -1, 0, 1, 2, 3) and the range is 5.

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Answer:First, we need to find which number when substituted into the equation will give the answer zero. Therefore is a factor. Factorise the quadratic until the expression is factorised fully. Therefore the roots occur when = -3, -2 and 1.

Step-by-step explanation:

Answer:

by reducing it into a quadratic equation and then solving

Step-by-step explanation:

Answer:

4 milles

Step-by-step explanation:

The distance of the mall from the home will be 2 miles.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line in point slope form can be also written as-

\(y-y_{1}=m\left(x-x_{1}\right)\)

We have the following problem -

From your home, the route to the school that passes the mall is 2 miles shorter than the route to the school that passes the theater.

Assume that the route to the school that passes the mall is [x] miles and

the route to the school that passes the theater is [y] miles. Then, we can write the equation as -

x = y - 2

y = x + 2

Plot the graph. The y - intercept will be the distance to the mall which is 2 miles.

Therefore, the distance of the mall from the home will be 2 miles.

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Step-by-step explanation:

Just divide 16 and 1.99 and 18 and 2.29 and choose the one with less value

\((\stackrel{x_1}{11}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{11}}} \implies \cfrac{-1 +8}{-5} \implies \cfrac{ 7 }{ -5 } \implies - \cfrac{7 }{ 5 }\)