Akeem will record the time it takes him to run 1 mile each day for 7 days. In order to meet his fitness challenge, his mean running time for 7 days must be 9 minutes or less. A list of Akeem's running times, in minutes, for the first 6 days is shown.

9.4, 9.0, 9.1, 8.9, 8.5, 8.8

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.

More information about the symmetric matrix here:

https://brainly.com/question/16374195

#SPJ11

Therefore, the measure of the central angle whose radii define the given arc is approximately 83.077 degrees.

The length of an arc on a circle is given by the formula:

Arc Length = (Central Angle / 360°) * Circumference

In this case, we know the arc length is 6π centimeters, and the radius of the circle is 13 centimeters. The circumference of the circle can be calculated using the formula:

Circumference = 2π * Radius

Substituting the radius value, we get:

Circumference = 2π * 13

= 26π

Now we can use the arc length formula to find the central angle:

6π = (Central Angle / 360°) * 26π

Dividing both sides of the equation by 26π:

6π / 26π = Central Angle / 360°

Simplifying:

6 / 26 = Central Angle / 360°

Cross-multiplying:

360° * 6 = 26 * Central Angle

2160° = 26 * Central Angle

Dividing both sides by 26:

2160° / 26 = Central Angle

Approximately:

Central Angle ≈ 83.077°

To know more about central angle,

https://brainly.com/question/19784457

#SPJ11

9514 1404 393

Answer:

  21,356,801,630

Step-by-step explanation:

The product can be found using any calculator that will display 11 digits or more.

Of course, it can also be found by long multiplication (second attachment). Many students learn this method in 5th grade.

Answer:

21,356,801,630

Step-by-step explanation:

just use a calculator

Answer:

c = -22, 22

Step-by-step explanation:

\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)

\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)

The arrangement of the number from least to greatest is: \(-0.35, -0.7, 1/5, 0.95\).

We will start by identifying the smallest number which is -0.35. Next, we move on to the next smallest number which is -7/10.

It is important to note that negative numbers come before positive numbers when ordering from least to greatest, so, the next number in the set is 1/5, which is larger than -7/10 but smaller than 0.95

Read more about number values

brainly.com/question/27922641

#SPJ1

The inequality that represents the dollar amount, a, that Alex can spend on apples is a < $9.25.

To determine the inequality, we need to consider that Alex has $23.25 in his pocket and wants to buy apples, limes, and kale. The kale and limes together cost over $14, which means their combined cost is greater than $14. To find the maximum amount Alex can spend on apples, we subtract the amount spent on kale and limes from the total amount he has.

Let's represent the amount spent on kale and limes as k + l, where k represents the cost of kale and l represents the cost of limes. The inequality representing the dollar amount, a, that Alex can spend on apples is given by:

a < $23.25 - (k + l)

Since the cost of kale and limes is greater than $14, we have k + l > $14. Substituting this into the inequality, we get:

a < $23.25 - $14

Simplifying, we have:

a < $9.25

Therefore, the inequality that represents the dollar amount, a, that Alex can spend on apples is a < $9.25.

Learn more about inequality here:

https://brainly.com/question/20383699

#SPJ11

Step-by-step explanation:

-20 < -5k-15 < 5       divide everything by 5

-4 < -k -3 < 1             add three to all of the terms

-1 < -k < 4                 Multiply everything by -1  

                            NOTE: this reverses the < symbols

   1 > k > -4          Done.

Answer:

b its a trinominal with a degree of 2

The polynomial, 3x - 4 + 5x², is a trinomial with a degree of 2.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

Given:

We have the polynomial,

3x - 4 + 5x²

To find the degree of a polynomial:

We take the highest powered variable, and the order of that variable is equal to the degree of the polynomial.

Here, the highest power is 2.

So, the degree is 2.

And the polynomial has three terms.

So, the polynomial is trinomial.

Therefore, it is a trinomial with a degree of 2.

To learn more about the Polynomials;

brainly.com/question/11536910

#SPJ5

Answer:

The solution is the point (3, -1)

Step-by-step explanation:

We have the system of equations:

x = 3

y + 1 = 0

To solve this graphically, we need to graph these two lines and see in which point the lines intersect.

To graph the line x = 3, we need to draw a vertical line that passes through x = 3.

To graph y + 1 = 0

First we should isolate y.

y = -1

This is graphed as a horizontal line that passes through y = -1

The graph of these two lines can be seen in the image below.

Where the green line is x = 3, and the blue line is y = -1

Now, looking at the graph we can see that the lines do intersect in the point (3, -1)

Then the solution of the system is the point (3, -1)

Answer:

\(y=\frac{1}{2}\)

Step-by-step explanation:

We can solve this system using elimination.

In this case, we can eliminate y by subtracting both equations...

\(3x-2x-4y-(-4y)=10-6\\x-4y+4y=10-6\\x=4\)

Then, substitute 4 for x to solve for y...

\(3x-4y=10\\3(4)-4y=10\\12-4y=10\\\text{Subtract 12 from both sides}\\-4y=-2\\\text{Divide both sides by -4}\\y=\frac{1}{2}\)

Answer:

y=1/2

Step-by-step explanation:

3x-4y=10..............{1]

2x-4y=6................(2)

subtract equa(2) from equa(1)

x=4

substitute x=4 into equa(1)

3(4)-4y=10

12-4y=10

-4y=10-12

-4y=-2

y=1/2

Answer:

4 ;P !!!!!!!!!!!!!!!!!!!!!!

Answer:

4

Step-by-step explanation:

2+2=4

Step-by-step explanation:

Angles EXTERNAL to a circle are equal to 1/2 the difference of the intercepted arcs

   arcs are     17x   and  360 - 17x

75 = 1/2(17x - ( 360-17x)

75 = 1/2 ( 17x - 360 + 17x)

 150 = 34x-360

  510 = 17x

   x =30  

Answer:

13

Step-by-step explanation:

A is going to be my version of the triangle:

if A ABC =~ A GHI then all of the line segments and area should be the same.

Answer:

if you mean y=3x, then yes

Step-by-step explanation:

solution:

substitute s by -3, we obtain

y= 3 (-3)

y= -9

So, if x= - 3 then it's y= - 9

Answer:

45 degrees

Step-by-step explanation:

The first angle of the triangle is 45 degrees. This can be determined by the given information that the second angle is 30 degrees larger than the first and the third angle is 3 times the second. Since the second angle is 30 degrees larger than the first, the first angle must be 15 degrees, and the third angle must be 3x15=45 degrees.

To differentiate the function f(x) = qx + r/sx + t, where q, r, s, and t are constants, the derivative is given by f'(x) = q - (r/s) * (1/x^2).

To differentiate the given function, we need to apply the rules of differentiation. Let's break down the steps:

1. Differentiate qx with respect to x: Since q is a constant, the derivative of qx is simply q.

2. Differentiate r/sx with respect to x: We can rewrite r/sx as r * (s * x)^(-1). Applying the power rule of differentiation, the derivative of (s * x)^(-1) is (-1) * (s * x)^(-1 - 1) * s = -s/x^2.

3. Differentiate t with respect to x: Since t is a constant, the derivative of t with respect to x is 0.

4. Combining the derivatives obtained from the previous steps, we have f'(x) = q - (r/s) * (1/x^2).

Therefore, the derivative of the given function f(x) = qx + r/sx + t, where q, r, s, and t are constants, is f'(x) = q - (r/s) * (1/x^2).

Learn more about differentiation here:

https://brainly.com/question/24062595

#SPJ11

The percentage of U.S. adults with a high school education has risen from 8 percent in 1960 to 35 percent in 2018.

In the early 20th century, education wasn't given much importance, only a few Americans completed high school education. However, after the mid-1900s, things began to change, more and more people started taking an interest in education and slowly, the percentage of U.S. adults with a high school education began to increase. As per data, the percentage of Americans with a high school education rose from 8% in 1960 to 35% in 2018.

This rise was witnessed because of the changes made in education policies, providing free education to everyone, and most importantly, increasing the focus on the importance of education in society. Today, a high school diploma is an essential requirement to acquire good jobs, and it helps a person to become a responsible citizen of the country. Therefore, the U.S. government has made it possible for everyone to attain a good education.

Learn more about percentage here:

https://brainly.com/question/31543806

#SPJ11

Given:

The equation is

Required:

Find the non-zero solution to the equation.

Explanation:

The given equation is

Rewrite the equation as:

Divide both sides by 2.

Take cube on both sides.

Take out common x

Find the factor by using the formula

Final Answer:

Thus the non-zero solutions to the given equation are x =27, -27.

Answer:

x=5

Step-by-step explanation:

Set your equation up as following:

6x-10=3x+5

move the 3x to the left side by substracting

3x-10=5

now add 10 to the right side

3x=15

Divide 15 by 3 to isolate x

x=15/3

x=5

Answer: shapes with at least 1 circular face

Step-by-step explanation:

The major types of solid shapes are: cubes, cuboids, prisms, pyramids, platonic solids, torus, cone, cylinder, and sphere.

D Shape with at lease 1 face

HOPE THIS HELPS

Hey there!

\(Answer:\boxed{10x^2+8x+8}\)

\(Explanation:\)

\((2x^2+5x+6)+(8x^2+3x+2)\)

Let's start off with combining like terms.

\(2x^2+5x+6+8x^2+3x+2\\(2x^2+8x^2)+(5x+3x)+(6+2)\\10x^2+8x+8\)

\(\boxed{10x^2+8x+8}\text{ is your answer.}\)

Hope this helps!

\(\text{-TestedHyperr}\)

For each ordered pair (x,y),

the solution is (-8, 7).

The correct option is D.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

We have an inequality:

y > 2.

From the given choices of ordered pair (x, y):

Substituting the values to the inequality.

And then,

7 > -8.

Therefore, the solution is (-8, 7).

To learn more about the inequality;

brainly.com/question/28823603

#SPJ1

Answer:

12/14

multiple the top and bottom with two

Answer:

The bottom Option

Note:

Due to my sus vibes from your questions, this is the last one I am answering from you. this is basic and easy if you read it.

Answer:

b

Step-by-step explanation:

b

The equation of the parabola with points (-1, 3), (0.5, 4.5) and (0,3) is y = 2x² + 2x + 3

An equation is an expression that shows the relationship  between two or more numbers and variables.

The pareabola equation is in the form:

y = ax² + bx +c

At point (-1, 3):

3 = a(-1)² + b(-1) + c       (1)

At point (0.5, 4.5):

4.5 = a(0.5)² + b(0.5) + c       (2)

At point (0, 3):

3 = a(0)² + b(0) + c       (3)

From the equations:

a = 2, b = 2, c= 3

The equation of the parabola with points (-1, 3), (0.5, 4.5) and (0,3) is y = 2x² + 2x + 3

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

In this problem, we are given four functions and we need to determine if each function is linear. If the function is linear, we need to find a matrix representation of the linear map with respect to the standard bases.

If the function is not linear, we need to provide an example of an input that fails to satisfy the definition of linearity.

a. The function x T (x) ||x|| is not linear. To demonstrate this, we can provide a counterexample. Let's consider x = [1 0]T and y = [0 1]T. If we evaluate the function for these inputs, we get x T (x) = [1 0] * [1 0]T = 1 and x T (y) = [1 0] * [0 1]T = 0. However, ||x + y|| = ||[1 1]T|| = √2 ≠ 1, which violates the definition of linearity.

b. The function x₁ + x₂ + ... + xn is linear. The matrix representation of this linear map with respect to the standard bases is simply the n x n identity matrix, since the output is a linear combination of the input coordinates.

c. The function M(x) = [1 X2 (2(2²₁ - M(x))²) ... 1]T is not linear. To illustrate this, we can provide an example. Let x = [1 0]T and y = [0 1]T. If we evaluate the function for these inputs, we get M(x) = [1 0]T and M(y) = [0 1]T. However, M(x + y) = [1 1]T ≠ M(x) + M(y), which violates the definition of linearity.

d. The function V(x) = [a c b-a c-b xn] is linear. The matrix representation of this linear map with respect to the standard bases can be obtained by arranging the coefficients of the input variables in a matrix. The resulting matrix would be a 1 x n matrix where the entries correspond to the coefficients a, c, b-a, c-b, xn in the given function.

To learn more about functions click here:

brainly.com/question/31062578

#SPJ11

Answer:

The equation of the line is y = 2.

Step-by-step explanation:

When a line is horizontal, it's gradient will be 0. So you have to substitute the coordinates into the equation, y = mx + b, to find the b :

\(y = mx + b\)

\(let \: m = 0 \\ let \: x = 5 \\ let \: y = 2\)

\(2 = 0(5) + b\)

\(b = 2\)

\(y = 2\)

Answer:

it would be Y=2 as it's a horizontal line at y=2