José can run 1 1/3 miles in 1/6 of an hour. How far can he run in one hour?

For the given matrix A, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. The determinant det(A) is 68.

To find the minors of a matrix, we need to find the determinants of the submatrices obtained by removing the row and column corresponding to the element of interest. In this case, the minors M13, M23, and M33 correspond to the determinants of the 2x2 submatrices obtained by removing the first row and the third column, second row and third column, and third row and third column, respectively.

To find the cofactors, we multiply each minor by a positive or negative sign based on its position in the matrix. The signs alternate starting with a positive sign for the top left element. In this case, the cofactors C13, C23, and C33 correspond to the minors M13, M23, and M33 respectively.

Finally, the determinant of a 3x3 matrix can be found by using the formula det(A) = a11C11 + a12C12 + a13C13, where a11, a12, and a13 are the elements of the first row of the matrix and C11, C12, and C13 are their corresponding cofactors. In this case, the determinant det(A) is 68.

Therefore, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. And the determinant det(A) is 68.

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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:

-7

Step-by-step explanation:

-35 / 5 = -7

Answer:

Step-by-step explanation:

The formula for calculating the volume of a cone is expressed as:

\(V = \frac{\pi r^2 h}{3}\) where:

r is the radius of the cone

h is the height of the cone

Hence the volume of the cone as a function of radius r and height h is:

\(V = \frac{\pi r^2 h}{3}\)

b) If the height of the cone is double the radius, then:

\(h = 2r\)

\(r = \frac{h}{2}\)

Substitute \(r = \frac{h}{2}\) into the formula derived in (a) as shown:

\(V = \frac{\pi (\frac{h}{2} )^2 h}{3}\\ \\V = \frac{\pi (\frac{h^2}{4} ) h}{3}\\ \\V = \frac{\pi (\frac{h^3}{4} )}{3}\\ \\V = \frac{\pi h^3}{12} \\\)

Hence function of the volume V of a cone with respect to the height h is \(V = \frac{\pi h^3}{12} \\\)

Step-by-step explanation:

sorry but i need points Thank you

To use the Chain Rule to find az/as and az/at, we need to first identify the variables involved in the equation. From the given terms, we have.

- a = function of s and t
- z = function of s and t
- s = independent variable
- t = independent variable
- θ = constant
Using the Chain Rule, we can find the partial derivatives of a and z with respect to s and t. The general formula for the Chain Rule is:
∂(a or z)/∂(s or t) = ∂a/∂s * ∂s/∂(s or t) + ∂a/∂t * ∂t/∂(s or t)
Applying this formula to our given equation, we get:
∂a/∂s = 3t^2 cos(θ)
∂a/∂t = s^3 cos(θ)
∂z/∂s = -7s^6 sin(θ)
∂z/∂t = t^3 sin(θ)
Using these partial derivatives, we can now find az/as and az/at as follows:
az/as = ∂a/∂s * ∂z/∂t - ∂z/∂s * ∂a/∂t
     = 3t^2 cos(θ) * t^3 sin(θ) - (-7s^6 sin(θ)) * s^3 cos(θ)
     = t^5 s^3 cos(θ) sin(θ) + 7s^9 cos(θ) sin(θ)
     = (t^5 + 7s^9) cos(θ) sin(θ)
az/at = ∂a/∂t * ∂z/∂s - ∂z/∂t * ∂a/∂s
     = s^3 cos(θ) * (-7s^6 sin(θ)) - t^3 sin(θ) * 3t^2 cos(θ)
     = -7s^9 cos(θ) sin(θ) - 3t^5 cos(θ) sin(θ)
     = -(7s^9 + 3t^5) cos(θ) sin(θ)
Therefore, az/as = (t^5 + 7s^9) cos(θ) sin(θ) and az/at = -(7s^9 + 3t^5) cos(θ) sin(θ).

To find az/as and az/at using the Chain Rule, we can follow these steps:
1. Identify the given equations:
az/as = t^³ cos(θ) cos(θ) - 7s^6 sin(θ) sin(θ)
az/at = 3st^2 (cos(θ) cos(θ)) - s^7 (sin(θ) sin(θ))
2. Apply the Chain Rule to find az/as:
The given equation for az/as is already provided:
az/as = t^³ cos(θ) cos(θ) - 7s^6 sin(θ) sin(θ)
3. Apply the Chain Rule to find az/at:
The given equation for az/at is already provided:
az/at = 3st^2 (cos(θ) cos(θ)) - s^7 (sin(θ) sin(θ))
So, using the Chain Rule, we have found az/as and az/at as follows:
az/as = t^³ cos(θ) cos(θ) - 7s^6 sin(θ) sin(θ)
az/at = 3st^2 (cos(θ) cos(θ)) - s^7 (sin(θ) sin(θ))

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The circumference of the circle is 6.28 metres.

The area of the circle is 3.14 m².

The circumference and the area of a circle can be found as follows:

area of the circle = πr²

where

Therefore, the diameter of the circle is 2 metres.

r = 2 / 2 = 1 metres

Hence,

area of the circle = 3.14 × 1²

area of the circle = 3.14 m²

Therefore,

circumference of the circle = 2πr

where

r = radius

circumference of the circle = 2 × 3.14 × 1

circumference of the circle = 6.28 metres

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The volume of the sugar cube is changing at a rate of -150 mm³ per minute when the edge length is 10 mm.

Let's denote the edge length of the cube as "x" and the volume of the cube as "V". We are given that the edge length is decreasing at a rate of 0.5 mm per minute.

The volume of a cube can be calculated as V = x³.

To find the rate at which the volume is changing with respect to time (dV/dt), we need to take the derivative of the volume equation with respect to time:

dV/dt = d/dt(x³)

Using the chain rule, we can differentiate the equation with respect to time:

dV/dt = 3x² * dx/dt

We know that dx/dt is -0.5 mm per minute (since the edge length is decreasing at that rate). We also know that the edge length is 10 mm when we want to find the rate of change of the volume.

Plugging in the values:

dV/dt = 3(10²) * (-0.5)

dV/dt = 300 * (-0.5)

dV/dt = -150 mm³/min

Note that the negative sign indicates that the volume is decreasing over time.

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The reason why  p be closer to a or b because  P will be closer to A because it will be Three-sevenths the distance from A to B.  

Note that  in the above expression, A number line is one that moves from point A to point B and also that a line can be drawn from a given point A to another point B.

Therefore, one can say that The reason why  p be closer to a or b because  P will be closer to A because it will be Three-sevenths the distance from A to B and as such, option A is correct.

Note that P will be closer to A due to the fact that it will be 3/7 the distance from point A to  point B.

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Answer: OPTION A

Step-by-step explanation:

If a pollster wishes to estimate the number of left-handed scientists. The sample that is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 4% is: 176.71.

Using this formula to find the sample

n =Z²π (1-π) ÷ e²

Where:

n =sample size =?

Z =  Z -score for 95% confidence level =1.960

π = Population proportion = 0.08

e = Margin of error = 0.04

Let plug in the formula

n = 1.96² × 0.08 × (1 - 0.08) ÷ 0.04²

n =  3.8416× 0.08 × 0.92 ÷ 0.0016

n = 176.71

Therefore the sample is 176.71.

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Answer:

D

Step by step explanation:

\(F = \frac{9}{5}C + 32\)

The main objective is to isolate C and to make C the subject of the equation:

\(= F - 32= \frac{9}{5} C\)

\(= C = \frac{5}{9} (F - 32)\)

Now substitute the given value of F:

\(C = \frac{5}{9} (68-32)\)

\(=C = \frac{5}{9} (36)\)

\(= C = 20^{o} C\)

Answer:

D. C = 5/9 ( F - 32 ) ; conversion: 68° F = 20° C

The given pair of equations has no solution.

a system of linear equation in 2 variables is expressed as ax+by+c=0

where a,b,c are constants and x,y are variables.

we can find its solution by following methods:

In each of these methods we have to eliminate one variable by replacing, adding or subtracting it from other equation.

The value of the remaining variable can be found by putting the value of known variable in the original equation.

Here In this given question we will first find out the value of x from the 1st equation in terms of variable y and then substitute in other equation to get the answer.with this method we get the following:

equation 1: 2x - 7y = 7

equation 2: 8x - 28y = 32

The first equation can be re-written as: x = (7 + 7y)/2

This can be substituted into the second equation and solved:

(7+7y)4 - 28y = 32

28 + 28y - 28y = 32

28=32(which is not possible)

.: No solution.

So, no solutions for these equations exists.

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Answer:

24

Step-by-step explanation:

edge 2021

tep-by-step solution Step 1 of 4 The objective is to find the least amount of wrapping paper you need. Chapter 11, Problem 65RE is solved. View this answer View a sample solution Step 2 of 4 Step 3 of 4 Step 4 of 4 Back to top Corresponding textbook Mathematical Practices, Mathematics for Teachers | 1st Edition

Hi, I believe this should be correct. The way the boxes are phrased is very misleading.

Answer:

yes because it does not have a exponent

Step-by-step explanation:

Answer:

the answer is 6

Step-by-step explanation:

Answer: NO

Step-by-step explanation:

1/2 and 7/8 are not equivalent because 1/2 is Half of 1 and 7/8 is most of 1

Answer:

Try to simplifying the expression.

− 28r  +  8

Angle L can be calculated as follows:

angle L = angle - 180 LMO stands for angle. MNO \sangle L = 180 - 150 - 30 degree angle L = 0

As a result, angle L is 0 degrees.

1. We know that sides AB and CD of trapezoid ABCD are parallel. We can use the tangent function to find the length of side AD because angle B is a right angle and angle ABD is 45 degrees:

AD/AB = tan(45)

AD=AB * tan(45) AD=AB

As a result, AD = 10.

2. We know that the sides PQ and RS of the trapezoid PQRS are parallel. We can use the sine function to find the length of side PS because angle Q is a right angle and angle PSQ is 60 degrees:

PS/QS sin(60) =

PS = sin * QS (60)

5 * sqrt = PS (3)

As a result, PS = 5*sqrt (3).

3. We know that the sides UV and WX of a trapezoid UVWX are parallel. We can use the cosine function to find the length of side WU because angle V is a right angle and angle WVU is 30 degrees:

WU/UV cos(30) =

UV * cos WU (30)

5 * sqrt(3) / 2 = WU

As a result, WU = (5/2)*sqrt (3).

4. We know that the sides LM and NO of the trapezoid LMNO are parallel. We can use the sine function to find the length of side MO because angle L is a right angle and angle MNO is 30 degrees:

MO/NO sin(30) =

MO = 4 / 2 MO = NO * sin(30)

As a result, MO = 2.

Because angles MNO and LMO add up to 180 degrees, we can calculate angle LMO as follows:

LMO angle = 180 - angle LMO MNO angle = 150 degrees

Finally, because angle N is a right angle, we can calculate angle L as follows:

angle L = angle - 180 LMO stands for angle. MNO\sangle L = 180 - 150 - 30 degree angle L = 0

As a result, angle L is 0 degrees.

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The probability of event A given event B, denoted as P(A | B), is 0.750. The probability of event B given event A, denoted as P(B | A), is 0.900. A and B are not independent events because the conditional probabilities P(A | B) and P(B | A) are not equal to the marginal probabilities P(A) and P(B), respectively.

To find P(A | B), we use the formula:

P(A | B) = P(A ∩ B) / P(B)

In this case, P(A ∩ B) = 0.45 and P(B) = 0.60.

Plugging these values into the formula, we get

P(A | B) = 0.45 / 0.60 = 0.750.

To find P(B | A), we use the formula:

P(B | A) = P(A ∩ B) / P(A)

Here, P(A ∩ B) = 0.45 and P(A) = 0.50.

Substituting the values, we find

P(B | A) = 0.45 / 0.50 = 0.900.

A and B are not independent because the probabilities of A and B are affected by each other. If A and B were independent, then P(A | B) would be equal to P(A), and P(B | A) would be equal to P(B). However, in this case, both P(A | B) and P(B | A) differ from their respective marginal probabilities. Therefore, A and B are dependent events.

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Explanation:

The given equation y = -3x+1/2 is in slope intercept form y = mx+b

We match the terms to find that m = -3 is the slope and b = 1/2 is the y intercept.

The y intercept is where the graph crosses the vertical y axis.

Answer:

6:22 and 9:33

Step-by-step explanation:

Report if wrong

-Stylez-

Answer: Matthew will use 12.25 Gallons of Paint. (I'm not sure if I have the correct amount of cm so if you think/know it's a different amount, use the step by step explanation to figure it out. Good luck :D)

Step-by-step explanation: 28x2.5 = 70. 70 Feet to Square Feet = 4900 square feet. 4900 divided by 400 = 12.25.

Since we're talking about dimensions, the only solution that makes sense in the context of the problem is W1, because we cannot have negative measurements.

Answer:

I believe the answer is 5?

Step-by-step explanation:

i hope i help :/

Answer:

45

Step-by-step explanation:

F(x)=x+3  g(x)=x²-2

((5)²-2)+3(5)+4+3

25-2+15+7=45

Answer:

1. 1

2. -19

Step-by-step explanation:

f(x) = 3x + 4 when x = -1

Switch out x for -1 and solve

= 3(-1) + 4

= -3 + 4

= 1

f(x) = -2x - 7 when x = 6

Switch out x for 6 and solve

= -2(6) - 7

= -12 - 7 or -12 + -7

= -19

Given that \(\(T(n)\) = \(10n^2-3n\)\) if (\(\(n=1\)\)), you have to prove it by induction. So, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if ( n= 1). The given statement is true for all positive integers n

Let's do it below: The base case (n=1) is given as follows: \(T(1)\) =\(10\cdot 1^2-3\cdot 1\\&\)=\(7\end{aligned}$$\). This implies that \(\(T(1)\)\) holds true for the base case.

Now, let's assume that \(\(T(k)=10k^2-3k\)\) holds true for some arbitrary \(\(k\geq 1\).\)

Thus, for n=k+1, T(k+1) = \(10(k+1)^2-3(k+1)\\&\) = \(10(k^2+2k+1)-3k-3\\&\)=\(10k^2+20k+7k+7\\&\) = \(10k^2-3k+20k+7k+7\\&\) = \(T(k)+23k+7\\&\) = \((10k^2-3k)+23k+7\\&\) =  \(10(k+1)^2-3(k+1)\).

Therefore, we have proved that the statement holds true for n=k+1 as well. Hence, we have proved it by induction that  \($$\(T(n)=10n^2-3n\)$$\)  if (n=1). Therefore, the given statement is true for all positive integers n.

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