help I literally got a 4/10 in my math test and my mom is like REALLLLY mad that she took my phone so I’m using my sisters ipad and she gave me advice on this app so i don’t even know if this could help but this is the page I need to complete/it’s for term 2 (week2) basically on my test well it’s apart of it so pls help- ~btw don’t look at the top cause I already completed it, I just need the 2 and 3 helppppp ima die ANDDD I used all the points I think that’s what it’s called~

The resulting divide-and-conquer algorithm for matrix multiplication using 25 scalar multiplications and a constant number of scalar additions and subtractions is efficient for multiplying two 3 × 3 matrices.

To analyze the divide-and-conquer algorithm for matrix multiplication, let's set up and solve the recurrence relations based on the given conditions.

Let's assume we have two 3 × 3 matrices A and B, and we want to compute their product C = A × B.

According to the given information, we can perform the matrix multiplication using 25 scalar multiplications and a constant number of scalar additions and subtractions.

In a divide-and-conquer algorithm, we can split the matrices into smaller submatrices to simplify the multiplication process. Let's assume we divide the matrices into 2 × 2 submatrices:

A = [A11 A12]

   [A21 A22]

B = [B11 B12]

   [B21 B22]

C = [C11 C12]

   [C21 C22]

The recurrence relation for this algorithm can be expressed as follows:

C11 = A11 × B11 + A12 × B21

C12 = A11 × B12 + A12 × B22

C21 = A21 × B11 + A22 × B21

C22 = A21 × B12 + A22 × B22

Since each entry of matrix C requires a scalar multiplication and there are four entries in total, we have a total of 4 scalar multiplications.

To solve the recurrence relation, we can express the number of scalar multiplications as a function of the subproblem size. In this case, the subproblem size reduces to 2 × 2 matrices, and the number of scalar multiplications can be considered constant.

Therefore, the resulting divide-and-conquer algorithm for matrix multiplication using 25 scalar multiplications and a constant number of scalar additions and subtractions is efficient for multiplying two 3 × 3 matrices.

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The area of the shape is

24.4 square units

Perimeter of the shape = 18.09 units

The area is calculated by dividing the figure into simpler shapes.

The simple shapes used here include

Area of shape

= area of square + area of the 2 sectors

= length x width + 2 * x/360 * πr^2

= 4 x 4 + 2 * 30/360 * π * 4^2

= 24.3775 square units

Perimeter of the shape

= 2 * length + 2 * radius + length of arc

= 2 * 4 + 2 * 4 + 30/360 * 2π * 4

= 18.09 units

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Solution:

The surface area of the pyramid will be calculated below as

By substituting the values, we will have

Hence,

The final answer is

Answer:

There are 68,640 different ways the runners can finish first, second, and third in the race.

Concept of Permutations

The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.

Brief Overview

Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.

Calculations

To calculate the total number of different ways, we multiply the number of choices for each position:

42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.

Concluding Sentence

Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.

Answer:

No solution

Step-by-step explanation:

Multiplying out the right side gives us an expression 8x - 8 which is easier to compare the the expression on the left side:

8x - 4 = 8x - 8

Subtracting 8x from both sides yields -4 = -8, which is never true.  Thus, the given equation has no solution.

A graph οf a line that passes thrοugh the pοints (0, -0.5) and (2, -1). Then the cοrrect οptiοn is A.

A cοnnectiοn between a number οf variables results in a linear mοdel when a graph is displayed. The variable will have a degree οf οne.

The linear equatiοn is given as,

x/a + y/b = 1

Where 'a' is the x-intercept οf the line and ‘b’ is the y-intercept οf the line.

Frοm the graph, the x-intercept and y-intercept are -2 and -0.5, respectively. Then the equatiοn οf the line is given as,

x / (-2) + y / (-0.5) = 1

x + 4y = - 2

At x = 2, then the value οf 'y' is given as,

2 + 4y = - 2

4y = -4

y = -1

A graph οf a line that passes thrοugh the pοints (0, -0.5) and (2, -1). Then the cοrrect οptiοn is A.

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Complete question:

Which linear graph represents a proportional relationship?

Answer:

\(x = 7 \: or \: x = - 7.\)

Step-by-step explanation:

\( {x}^{2} - 49 = 0\)

Then

\( {x}^{2} = 49 \)

So

\(x = 7 \: or \: x = - 7.\)

Answer:

x = -7 , 7

Step-by-step explanation:

a² - b² = (a + b)(a - b)

x² - 49 = 0

x² - 7² = 0

(x + 7)(x -7) = 0

x + 7 = 0         ; x - 7 = 0

x = -7             ; x = 7

The value of f(x) at x = 1 is approximately -3.0986.

The given differential equation is a second-order homogeneous linear differential equation with constant coefficients. The characteristic equation is \(r^2\) + 6r + 9 = 0, which can be factored as \((r + 3)^2 = 0\). Thus, the roots are repeated and equal to -3.

The general solution of the differential equation is \(y(x) = (c1 + c2 x) e^(-3x)\), where c1 and c2 are constants to be determined by the initial conditions.

Using the first initial condition y(0) = 0, we get c1 = 0.

Using the second initial condition y'(0) = 1, we get c2 = 1/3.

Therefore, the particular solution to the differential equation with the given initial conditions is y(x) = \((1/3)x e^(-3x)\).

Now, we need to find the value of \(f(x) = ln[y(x)/x]\) at x = 1.

\(f(x) = ln[y(x)/x] = ln[(1/3)x e^(-3x) / x] = ln[(1/3) e^(-3x)]\)

\(f(1) = ln[(1/3) e^(-3)] = ln(1/3) - 3 = -3.0986 (approx)\)

Therefore, the value of f(x) at x = 1 is approximately -3.0986.

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To estimate the number of subscribers as a single digit times an integer power of 10, we can round the given number to the nearest power of 10.

The given number of subscribers is 77,000.

Rounding 77,000 to the nearest power of 10 (which is 10^4 or 10,000), we get:

77,000 ≈ 8 × 10,000

So, an estimate for the number of subscribers as a single digit times an integer power of 10 would be 80,000.

Answer:

what is mathematics in freshman course

The value of the k in the dimension of rectangle is 6 .

Rectangle 1 : 18 by 3

Rectangle 2 : 9 by 6

Given, that two rectangles have same area.

Area of rectangle = Length × Breadth

Perimeter of rectangle = 2(l+b)

Here the dimension of rectangles are,

Rectangle 1 : 3k by 3

Area of rectangle 1 = 3k × 3

Area of rectangle 1 = 9k

Area of rectangle 2 = (k+3) × 6

Area of rectangle 2 = 6k + 18

Moreover the area of two rectangles are same. So equate the areas.

6k + 18 = 9k

3k = 18

k = 6

Thus the value of k in the dimensions of rectangle is 6.

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Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

\(\dfrac{9x-9}{3x - 3}=\dfrac{9*(x -1)}{3 * (x - 1)} = 3\)

Since you want to solve this using a calculator you have to options, if you have a advance calculator you can just directly input the nnumber and then it will give you the answer.

While using a standard calculator, we must first convert the radian measurement into degree measurement to find the sin, cos and tan of an angle. Let's start;

First, we must conver 5π/3 into degree measurement to do that we just have to multiply our converting factor 180/π (since 180° is equal to π)

Therefore 5π/3 is just equal to 300°.

Then using a CALCULATOR you can directly input the following;

The values of the inverse functions are f-¹ (3) = -1 and f-¹ (8) = 7

From the question, we have the following parameters that can be used in our computation:

x   f(x)

-1   3

1     6

2    5

3    7

7   8

Using the above as a guide, we have the following:

f-¹ (x) means that we calculate the value of x from the table when y = x in the function notation

So, we have

f-¹ (3) = -1 and f-¹ (8) = 7

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Answer:

A 3.1%

Step-by-step explanation:

x = percentage (Has to equal 2)

64x = 66

For 3.1%: CORRECT

64(3.1%) = 2

64 + 2 = 66

For 96.9%: NOPE

64(96.9%) = 62

For 3%:

64(3%) = 1.92

Usando proporciones, hay que no se trabajaron en 65 dias durante el año de 2018 en la empresa SAC-OLC.

Una proporción es una fracción de la cantidad total, e los problemas pueden ser resolvidos con una regla de três.

En este problema, hay que se fabricaran 24000 ollas en el año de 2018, con una taja de 80 ollas al dia. Así, el número de dias trabajados es dado por:

n = 24000/80 = 300.

El año de 2018 tuvo 365 dias, así, el número de dias no trajados fue de:

365 - 300 = 65.

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Answer:

Volume of cone is: 47464.23 dm³

Step-by-step explanation:

We are given:

Radius of cone r = 35 dm

Slant Height of cone h = 37 dm

We need to find Volume of the cone.

The formula used to find Volume is: \(Volume=\pi r^2\frac{h}{3}\)

Putting values and finding volume:

\(Volume=\pi r^2\frac{h}{3}\\Volume=3.14*(35)^2 *\frac{37}{3}\\Volume=47464.23\ dm^3\)

So, volume of cone is: 47464.23 dm³

Answer:

According to the question: 16-?=-2

Lets take the unknown value as 'x'

So, 16-x=-2

=  -x=-2-16

=  -x= -18

And now if we cancel the negative signs it will be, x= 18

Thus, we should subtract 18 from 16 to get -2

The range best describes how much these bowling scores varied.

What is the median of a data set ?

The median of a data set is the value that falls in the middle, indicating that 50% of the data points have values that are lower or equal to the median and 50% of the data points have values that are higher or equal to the median. When working with a small data collection, you must first count the number of data points (n) and organize them in ascending order.

The difference between the highest and lowest values for a given data collection is the range in statistics. As an illustration, if the data set contains 2, 5, 8, 10, 3, the range will be 10 - 2 = 8. So, another way to describe range is as the difference between the highest and lowest observation.

Given data set:

112, 123, 136, 145, 159

Range = 159 - 112 = 47

The range best describes how much these bowling scores varied.

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The rate of change is 21.6 mpg.

The rate of change determines how one variable changes because of another variable. This rate value can be either positive or negative. Considering x as an independent variable and y as a dependent variable, the rate of change for these two variable is given by,

\(\text{rate of change}= \frac{\text{change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}\)

From the given value, miles traveled is a dependent variable because it depends on the amount of gas. So the amount of gas is the independent variable.

Therefore, the rate of change is,

\(\begin{aligned}\text{rate of change}&=\frac{\Delta y}{\Delta x}\\&=\frac{\mathrm{259.2\;miles}}{1\mathrm{2\;gallons}}\\&=\mathrm{21.6\;mpg}\end{aligned}\)

Therefore, the rate of change is 21.6 miles per gallon.

This formula is also used to calculate gas mileage.

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The complete question is -

Mariam uses 12 gallons of gas to drive 259.2 miles in her car. Find the rate of change.

The set of variables that is most likely to have a cause-and-effect relationship is option C: the weight of a box and the postage rate we have to pay to ship the box to California.

Based on the given sets of variables, the set most likely to have a cause-and-effect relationship is:
B. The height of a person and the weight of a person

This is because there is a general correlation between a person's height and their weight, as taller individuals tend to have higher weights. While this is not an absolute rule, there is a stronger cause-and-effect relationship in this set compared to the other options.

This is because the weight of the box is a likely cause of the postage rate, as the heavier the box, the more postage we will have to pay to ship it. In options A and B, there may be a correlation between the variables, but it is less likely that there is a direct cause-and-effect relationship. In option D, the make of a car is not a likely cause of its mileage, as there are many other factors that can affect a car's mileage.

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Answer:

125 servings

Step-by-step explanation:

Answer:

The chef can make 125 servings

Answer:

C

Step-by-step explanation:

a number is only divisible by 4, if the number formed by the last 2 digits is divisible by 4.

Answer:

x = -7

Step-by-step explanation:

f(x) = -3x + 2

= -3(3) + 2

= -9 + 2

= -7

a. To find the 91st percentile of the standard normal distribution, we need to find the z-score corresponding to that percentile. Using a standard normal distribution table or a calculator, we find that the z-score for the 91st percentile is approximately 1.34.

b. Similarly, to find the 9th percentile, we find the z-score corresponding to that percentile. The z-score for the 9th percentile is approximately -1.34.

c. For the 75th percentile, the z-score is approximately 0.674.

d. For the 25th percentile, the z-score is approximately -0.674.

e. Lastly, for the 6th percentile, we can interpolate between the closest values in the standard normal distribution table. Interpolating, we find that the z-score for the 6th percentile is approximately -1.56.

To determine za for the value of α = 0.663, we need to find the z-score that corresponds to an area of 0.663 under the standard normal curve. Using a standard normal distribution table or a calculator, we find that the z-score corresponding to an area of 0.663 is approximately 0.405.

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Answer:

3u+12

Step-by-step explanation:

The number, in this case 3, is being multiplied by the terms inside the parenthesis, u and 4.

3*u=3u

3*4=12

So the simplified version is 3u+12.

-hope it helps

Answer:

-4 37/72

Step-by-step explanation:

-4 5/8+2/18= -4 5/8+ 1/9= -4 45/72+8/72=-4 37/72

Answer:

$411.00

Step-by-step explanation:

456.99-45.99

Answer:

Step-by-step explanation:

If it is irrational, it can never be rational unless it is acted upon by something else like a power.

Pi, no matter what is done to it, can never be rational.  Once a number is declared as irrational, that is what it remains.

This question is incomplete because it lacks the appropriate diagram.

Please find attached this answer the appropriate diagram.

Kindly note that: The diagram was obtained from or referenced from Planes and Elevation (F) Version 3 January 2016.

Answer:

72 centimeter cubes

Step-by-step explanation:

Looking at the attached diagram, we are given 3 views of the cuboid

a) The plan view: The is the view of the cuboid from the top or a very high position

b) Front Elevation view: This is the view of the cuboid from the front

c) Side elevation view: This is the view of the cuboid from the side.

In the referenced and attached diagram,

The plan view shows us the top of the cuboid with a length of 4 and breadth of 6

The front elevation view shows us the front of the cuboid with a length of 3 and breadth of 4

The side elevation view shows us the side of the cuboid with a length is 3 and breadth of 6

We are told to find the number of centimeter cubes were used to make the cuboid. This means we are to find the volume of the cuboid.

Volume of a cuboid = Length × Width × Height

Combining the 3 views together,

The Length of the cuboid = 4

Width of the cuboid = 6

Height of the cuboid = 3

Volume of the cuboid = 4 × 6 × 3

= 72

Therefore, the number of centimeter cubes that were used to make the cuboid is 72.