Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) [-7 22 6 -19]

Answer:

see below

Step-by-step explanation:

1. (24-4)/2=2

2. (20+4)/8=3

3. (2+28)/10=3

4. (15-5)*6=10

5 (28-6)+4)/4=6.5

hope this helps. if it does brainliest would be nice

The percentage of the original block cookie that is packaged and ready to be distributed to stores is: 12.6%.

To calculate the percentage of the original 100lb cookie that is packaged and ready to be distributed, we must perform the following operations:

We must calculate how much each package of 5 cookies weighs, for this we multiply the weight of each cookie (3 ounces) 0.18 pounds by the number of cookies in each package (5).

Next, we need to calculate how much the box containing 14 packages of cookies weighs by multiplying the weight of each package (0.9 lb) by the number of packages in each box (14).

Lastly, we need to calculate how much percentage the weight of each box is equal to the weight of the original 100 lb cookie that Latonya made. For that we divide 100 lbs. by 100 and multiply the result by the final weight of the box (12.6lbs).

Based on the above, each box contains 12.6% of the first 100-lb cookie Latonya made.

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Answer:

multiply

Step-by-step explanation:

2345567 in the subtract 578431111

Answer:

r/8+3q

Explanation:

There is no value given to this equation so out final answer is a simplified version of the equation

Answer:

T = -t / 4 + T0   where t is the temperature in minutes elapsed, T is the final temperature, and T0 is the initial temperature

This is a linear equation in T and t

(-1 / 4 represents -5 deg / 20 min  = - 1 deg / 4min

The given situation is linear equation in T and t. so option D is correct option.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given situation:

The temperature of a cup of coffee decreases by 5 F every 20 minutes.

T = -t / 4 + T0  

where t is the temperature in minutes elapsed.

T is the final temperature.

T0 is the initial temperature.

We need to find the type of model best fits the given situation.

(-1 / 4 represents -5 deg / 20 min  = - 1 deg / 4min

Therefore, The given situation is linear equation in T and t. so option D is correct option.

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For 8% p-value cutoff , Melissa should use 92% confidence interval

A confidence interval calculated for a treatment effect measure shows the range in which the true treatment effect is likely to fall.

A smaller sample size or higher variability will result in a wider confidence interval with a larger margin of error. The interval width is also influenced by the level of confidence. If you want a higher level of certainty, the interval should be wider.

The width of the confidence interval and the size of the p value are related.

The narrower the interval, the smaller the p value. The confidence interval, on the other hand, provides useful information about the likely magnitude of the effect under consideration as well as the accuracy of the estimate.

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The missing sides of the given right-angle triangle are b = 2√2 and a = 2√2.

What is the trigonometric ratio?

the trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.

The missing sides of the given right-angle triangle are b = 2√2 and a = 2√2.

We can use trigonometric ratios to solve for the unknown sides of the given right-angled triangle.

Let's start by identifying the trigonometric ratio that involves the sides we know and the unknown side we need to find. Since we know the hypotenuse and the opposite side, we can use the sine ratio, which is defined as:

sin(θ) = Opposite/Hypotenuse

Substituting the known values, we get:

sin(45) = b/4

We can solve for b by isolating it on one side of the equation:

b = 4 sin(45)

Using the fact that sin(45) = 1/√2, we can simplify the expression for b:

b = 4/√2

To simplify this further, we can multiply both the numerator and denominator by √2:

b = 4√2/2

Simplifying the fraction, we get:

b = 2√2

Now, let's use the cosine ratio to solve for the adjacent side a. The cosine ratio is defined as:

cos(θ) = Adjacent/Hypotenuse

Substituting the known values, we get:

cos(45) = a/4

We can solve for a by isolating it on one side of the equation:

a = 4 cos(45)

Using the fact that cos(45) = 1/√2, we can simplify the expression for a:

a = 4/√2

Multiplying both the numerator and denominator by √2, we get:

a = 4√2/2

Simplifying the fraction, we get:

a = 2√2

Therefore, the missing sides of the given right-angle triangle are b = 2√2 and a = 2√2.

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The variance of the given probability distribution is 1.87.

To find the variance of a probability distribution, we need to first calculate the expected value or mean of the distribution. The expected value of a discrete random variable X is given by:

E(X) = ∑[i=1 to n] xi * P(X = xi)

where xi is the i-th possible value of X, and P(X = xi) is the probability that X takes on the value xi.

Using this formula, we can calculate the expected value of the given probability distribution as:

E(X) = 1*0.16 + 2*0.19 + 3*0.22 + 4*0.21 + 5*0.12 + 6*0.10

    = 3.24

Next, we can calculate the variance of the distribution using the formula:

\(Var(X) = E(X^2) - [E(X)]^2\)

where E(\(X^2\)) is the expected value of \(X^2\), which is given by:

\(E(X^2) = ∑[i=1 to n] xi^2 * P(X = xi)\)

Using this formula, we can calculate E(\(X^2\)) for the given probability distribution as:

\(E(X^2) = 1^2*0.16 + 2^2*0.19 + 3^2*0.22 + 4^2*0.21 + 5^2*0.12 + 6^2*0.10 = 11.53\)

Now we can substitute the values of E(X) and E\((X^2\)) into the formula for variance to get:

\(Var(X) = E(X^2) - [E(X)]^2\)

      = 11.53 - \(3.24^2\)

      = 1.87

Therefore, the variance of the given probability distribution is 1.87.

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Answer:

Step-by-step explanation: Here’s a round square!

                                             We’ll be descending upwards.

                                             Our mission entails foreign internal defense strategies.
                                             You should enter on the outside.

                                             Some people are more equal than others.

Based on the provided question, it seems like you are asking about the most efficient evaluation method, either by hand or using a computer. To determine which method is the most suitable, you need to consider the complexity of the evaluation process and the number of alternatives.

Using a computer is generally faster and more accurate when dealing with large datasets or complex calculations. On the other hand, evaluating by hand may be more suitable for smaller datasets or simpler calculations. It can provide a more hands-on approach, allowing for a deeper understanding of the evaluation process. However, this method is generally more time-consuming and prone to human error.

To select the most appropriate evaluation method, consider the complexity of the task and the available resources. If the evaluation involves a large amount of data or complex calculations, using a computer would likely be the most efficient choice. However, if the task is relatively simple or involves a smaller dataset, evaluating by hand may suffice. In conclusion, the choice between evaluating by hand or using a computer depends on the complexity of the task and the available resources. Consider these factors to determine the most suitable method.

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Answer:

cos35=a/20

0.8191=a/20

a=0.81×20

the answer is 16.4

0.81×20=16.4

Answer:

Rectangle

Step-by-step explanation:

The best name for Brian's figure will be a rectangle. Then the correct option is D.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

Brian's figure has 4 sides and 4 right angles. The opposite sides are parallel.

The right angle is also known as 90°. Then the best name for Brian's figure will be

Thus, the best name for Brian's figure will be a rectangle. Then the correct option is D.

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There is no equation, what is the equation?

Answer:

what is the equation

Step-by-step explanation:

In calculus, there are different ways to differentiate the tangent to a curve. The first principle is one of the ways to differentiate the tangent to a curve.

Differentiation is the foundation of calculus, and it's used to find rates of change, maxima and minima, and the behavior of functions in general.The first principle of differentiation.

The first principle is the fundamental approach to finding derivatives, which involves finding the limit of the difference quotient, or f(x + h) – f(x) / h as h approaches zero. This difference quotient represents the slope of the line tangent to the curve at the point (x, f(x)).

The first principle formula for differentiation is given by:lim h → 0 [f(x + h) – f(x) / h]To differentiate the tangent to the curve y = 2x² – 5x + 3 at the point where x = 2 using the first principle, we need to find the slope of the line tangent to the curve at x = 2. We start by finding the equation of the tangent line and then calculate its slope using the first principle.To find the equation of the tangent line, we differentiate the given function, y = 2x² – 5x + 3:dy/dx = 4x – 5At x = 2, dy/dx = 4(2) – 5 = 3.

Thus, the slope of the tangent line at x = 2 is 3.

Now, we can use the point-slope form of the equation of a line to find the equation of the tangent line:

y – f(2) = m(x – 2)y – (2(2)² – 5(2) + 3) = 3(x – 2)y – 4 = 3x – 6y = 3x – 2

This is the equation of the tangent line to the curve

y = 2x² – 5x + 3

at the point where x = 2. The slope of the tangent line is 3.

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Therefore, After 20 minutes, there are approximately 11.9 kg (rounded to one decimal place) of salt in the tank.

To solve this problem, we need to consider the rate of change of the amount of salt in the tank over time.

(a) Let's denote the amount of salt in the tank after t minutes as y (in kg). We can set up a differential equation to represent the rate of change of salt:

dy/dt = (rate of salt in) - (rate of salt out)

The rate of salt in is given by the concentration of salt in the incoming water (0 kg/L) multiplied by the rate at which water enters the tank (90 L/min). Therefore, the rate of salt in is 0 kg/L * 90 L/min = 0 kg/min.

The rate of salt out is given by the concentration of salt in the tank (y kg/9000 L) multiplied by the rate at which water leaves the tank (90 L/min). Therefore, the rate of salt out is (y/9000) kg/min.

Setting up the differential equation:

dy/dt = 0 - (y/9000)

dy/dt + (1/9000)y = 0

This is a first-order linear homogeneous differential equation. We can solve it by separation of variables:

dy/y = -(1/9000)dt

Integrating both sides:

ln|y| = -(1/9000)t + C

Solving for y:

y = Ce^(-t/9000)

To find the particular solution, we need an initial condition. We know that at t = 0, y = 12 kg (the initial amount of salt in the tank). Substituting these values into the equation:

12 = Ce^(0/9000)

12 = Ce^0

12 = C

Therefore, the particular solution is:

y = 12e^(-t/9000)

(b) To find the amount of salt in the tank after 20 minutes, we substitute t = 20 into the particular solution:

y = 12e^(-20/9000)

y ≈ 11.8767 kg (rounded to one decimal place)

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Answer:

  (x, y, z) = (1, 1, 0)

Step-by-step explanation:

You want to solve the given system of equations by elimination.

There are a couple of nice choices for variables to eliminate.

The last equation has an x-coefficient that is the opposite of the x-coefficient in the other two equations. Adding that equation to those will eliminate the x-variable:

  (-2x +2y +3z) +(2x +3y +3z) = (0) +(5)   ⇒   5y +6z = 5 . . . . add eqns 1, 3

  (-2x -y +z) +(2x +3y +3z) = (-3) +(5)   ⇒   2y +4z = 2 . . . . add eqns 2, 3

The second of these equations can be divided by 2 to give ...

  y +2z = 1

Three times this equation can be subtracted from the first of the reduced equations to eliminate z:

  (5y +6z) -3(y +2z) = (5) -3(1)   ⇒   2y = 2

  y = 1 . . . . divide by 2

Now, we can substitute this value into the previous equation to find the other variables.

  y +2z = 1 = 1 +2z   ⇒   0 = 2z   ⇒   z = 0

  -2x -y +z = -3 = -2x -(1) +(0)   ⇒   -2 = -2x   ⇒   x = 1

The solution is (x, y, z) = (1, 1, 0).

__

Additional comment

The attachment shows a calculator solution to the system of equations by reducing the augmented matrix to "reduced row-echelon form." In general, that is a process of elimination. Each equation ends up with one variable having a coefficient of 1, so we have x = 1, y = 1, z = 0.

You could also start by eliminating the y-variables. Adding twice the second equation to the first will do that, as will adding 3 times the second equation to the third. The result of these operations is two equations in x and z.

The expression 17(-5)+15-(-4)+(-6)-5= -85+15+4-6-5 = -77.The answer is -77.

To simplify the expression, we need to follow the order of operations (PEMDAS), which means we perform the operations inside the parentheses first, then the exponents, followed by multiplication and division (from left to right), and finally addition and subtraction (from left to right)-

In this expression, there are no exponents or multiplication/division, so we only need to focus on the addition and subtraction-

We start from left to right, adding -85 and 15 to get -70-

We then add 4 to get -66-

We then subtract 6 from -66 to get -72-

Finally, we subtract 5 from -72 to get -77

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To find the population of the city in 22 years, we need to use the formula for exponential growth:P(t) = P(0) * e^(rt) , Therefore, the population of the city in 22 years would be approximately 381,267.

where P(t) is the population at time t, P(0) is the initial population, r is the annual growth rate (expressed as a decimal), and e is the mathematical constant e (approximately equal to 2.71828).

In this case, we know that the initial population (P(0)) is 200,000, the annual growth rate (r) is 0.02 (since the growth rate is given as a percentage of 2%, we need to divide by 100 to convert to a decimal), and the time elapsed (t) is 22 years.

Plugging these values into the formula, we get:

P(22) = 200,000 * e^(0.02*22)

≈ 381,267

Therefore, the population of the city in 22 years would be approximately 381,267.

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Answer:

look it up on slader.com thats the sams problem that i have had before and it worked on slader.

Answer: A: 1524 miles B: Average is 508 mph

Step-by-step explanation: Add the miles on the picture to get the total amount of miles traveled (1524) and then divide by 3 hours to get 508 mph.

Hope this helped!

Mark Brainliest if you want!

The required integral is \($$\int Ja\sin^{-1} x^2\;dx=ax\sin^{-1} x^2-\left(\frac{x^2}{2}\sin^{-1} x^2+\frac{1}{4}\sin 2\sin^{-1} x^2\right)+C$$\)

Given integral is,\($$\int Ja\sin^{-1} x^2\;dx$$\) We will use integration by parts to evaluate the integral. We can take $u=\sin^{-1} x^2$ and

$dv=Ja\;dx$. Thus,$$du=\frac{1}{\sqrt{1-x^4}}\cdot 2x\;dx$$$$ ax$$Applying integration by parts, we have,$$\int Ja\sin^{-1} x^2\;dx=ax\sin^{-1} x^2-\int \frac{2a^2x^2}{\sqrt{1-x^4}}\;dx$$Now we can use the substitution method to evaluate the above integral. Let $x^2=\sin t$.

\($$\int \frac{2a^2x^2}{\sqrt{1-x^4}}\;\) dx=\int\frac{2a^2\sin t}{\sqrt{1-\sin^2t}}\cdot \cos t\;dt$$$$=2a^2\int \cos^2 t\;dt$$Now we can apply the formula, $$\int\cos^2 t\;dt=\frac{t}{2}+\frac{\sin 2t}{4}+C$$where C is the constant of integration. Thus, putting this value, we get,\($$\int Ja\sin^{-1} x^2\;dx=ax\sin^{-1} x^2-\left(\frac{x^2}{2}\sin^{-1} x^2+\frac{1}{4}\sin 2\sin^{-1} x^2\right)+C$$.\)

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Answer:

the answer is b

Step-by-step explanation:

Side Angle Side

The business has a savings account that earns initially invested approximately $3,455 in 1991.( C: $3,455).

The business initially invested in 1991, we need to use the given information and the formula provided.

The formula F = P(1 + R)²T is used to determine the final amount in the savings account.

Given information:

The business had $4,000 in the account at the end of 1996.

The annual interest rate is 3%.

The time in years is (1996 - 1991) = 5 years.

To solve for the initial investment amount (P):

F = P(1 + R)²T

$4,000 = P(1 + 0.03)²5

Now for P:

$4,000 = P(1.03)²5

Dividing both sides of the equation by (1.03)²5:

P = $4,000 / (1.03)²5

Calculating the value:

P ≈ $3,455.47

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Answer:

3:18

Step-by-step explanation:

From 3:12 PM to 5:12 PM it's 3 hours.

From 5:12 PM to 5:30 PM it's 18 minutes.

Total elapsed time: 3:18

I don't know why the question asks "what part of an hour" when the answer is more than 3 hours.

Answer:

-40/8= -5

Step-by-step explanation:

Multiply the top to get -40 then the bottom to get 8. When you simplify, you get -5.

Answer:

-5.625

Step-by-step explanation:

5/4 × (-9/2)

=5×(-9)/4×2

=-45/8

=-5.625

Answer:

The answer is C

Step-by-step explanation:

Answer:

x = 40

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

So first you would do 12+8=20

Then you would do 20÷0.5=40

Now you want to check your answer

0.5x40=20 and 20-8=12

So x=40

Step-by-step explanation:

Answer:

1) yes

2) yes

3) no

The equation of the tangent line to the Witch of Agnesi at a given point (x0, y0) is:  \(\(y - y_0 = \frac{-64a^3x_0}{(x_0^2 + 4a^2)^2}(x - x_0)\)\)

The tangent lines to the curve called the Witch of Agnesi at a given point can be determined by finding the derivative of the curve and evaluating it at that point.

To find the equation of a tangent line, we need the derivative of the curve. The equation of the Witch of Agnesi is given by:

\(y = \frac{8a^3}{x^2 + 4a^2}\)

where 'a' is a constant that determines the shape of the curve.

Taking the derivative of y with respect to x, we can find the slope of the tangent line:

\(\frac{dy}{dx} = \frac{-64a^3x}{(x^2 + 4a^2)^2}\)

Let's assume we want to find the tangent lines at the point (x0, y0). We can substitute these coordinates into the derivative expression:

\(\frac{dy}{dx}\Bigr|_{x=x_0} = \frac{-64a^3x_0}{(x_0^2 + 4a^2)^2}\)

This gives us the slope of the tangent line at the point (x0, y0).

Now, using the point-slope form of a line, we can write the equation of the tangent line:

\(y - y_0 = \frac{dy}{dx}\Bigr|_{x=x_0}(x - x_0)\)

Substituting the values we obtained earlier, the equation of the tangent line becomes:

\(y - y_0 = \frac{-64a^3x_0}{(x_0^2 + 4a^2)^2}(x - x_0)\)

This equation represents the tangent line to the Witch of Agnesi at the point (x0, y0).

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The value of number of columns in which they can march is, 8

According to the problem ,

Members in army contingent = 1000

And, Members in army band = 56

Hence, To find maximum number of columns to march behind army band in the same number of columns,

we have to find HCF of 1000 and 56

1000 = 56 × 17 + 48

56 = 48 × 1 + 8

48 = 8 × 6 + 0

Here, Remainder has become zero.

Since, the divisor in this is, 8 .

HCF ( 1000 , 56 ) = 8

Thus, Required columns = HCF ( 1000 , 56 ) = 8

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