Han ran 12,500 meters last week. How many kilometers is that? Explain or show your work

Answer:

slope: -3

y-intercept: 5

Step-by-step explanation:

y=mx+b, where m=slope and b=y-intercept

Answer:

The slope is -3 and y is 5. hope that helped

Answer:

y = 2x + 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = A (1, 7 ) and (x₂, y₂ ) = B (- 3, - 1 )

m = \(\frac{-1-7}{-3-1}\) = \(\frac{-8}{-4}\) = 2 , then

y = 2x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (1, 7 )

7 = 2(1) + c = 2 + c ( subtract 2 from both sides )

5 = c

y = 2x + 5 ← equation of line

Answer:

64.98 minutes or 1 hour and 5

Step-by-step explanation:

When the car enters the highway, the truck has already traveled for 13 minutes, or 13/60 hours, at a speed of 60 mph. So the truck is ahead of the car by a distance of:

distance = speed x time

distance = 60 mph x 13/60 hours

distance = 13 miles

Now, the car is moving faster than the truck, so it will catch up to the truck. The relative speed of the car with respect to the truck is:

relative speed = car speed - truck speed

relative speed = 72 mph - 60 mph

relative speed = 12 mph

The time it will take for the car to catch up to the truck is:

time = distance / relative speed

time = 13 miles / 12 mph

time = 1.083 hours

Convert the time to minutes:

time = 1.083 hours x 60 minutes/hour

time = 64.98 minutes

So, it will take the car approximately 64.98 minutes or 1 hour and 5 minutes to pass the truck.

The free cash flow (FCF) for year 1 can be calculated by subtracting the investment in fixed assets and the investment in net working capital from the profit after taxes and adding back the depreciation. In this case, the free cash flow for year 1 is $2 million

Free cash flow (FCF) is a measure of the cash generated by a company after accounting for its expenses and investments in fixed assets and working capital. It represents the amount of cash available to the company for distribution to its shareholders, reinvestment in the business, or debt reduction.

In this case, the given data states that the profit after taxes is $5 million, the depreciation is $2 million, the investment in fixed assets is $4 million, and the investment in net working capital is $1 million.

The free cash flow (FCF) for year 1 can be calculated as follows:

FCF = Profit after taxes + Depreciation - Investment in fixed assets - Investment in net working capital

FCF = $5 million + $2 million - $4 million - $1 million

FCF = $2 million

Therefore, the free cash flow for year 1 is $2 million. This means that after accounting for investments and expenses, the company has $2 million of cash available for other purposes such as expansion, dividends, or debt repayment.

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a).  2^38 bytes of memory

b). 12 bits

c). The maximum number of entries in the single-level page table would be 2^38.

d). The size would be 2^38 * 4KB, which equals 2^20 pages.

e). The maximum number of entries it can have depends on the remaining bits of the logical address.

f). The amount of bits required to denote an index into the inner page table is obtained by subtracting the offset and outer page index bits from the logical address.

a. To address a physical memory size of 128GB (2^37 bytes), a 64-bit architecture would require 38 bits for the logical address, allowing access to a maximum of 2^38 bytes of memory.

b. Given that the page size is 4KB (2^12 bytes), 12 bits would be needed to specify the displacement into a page. This means that the lower 12 bits of the logical address would be used for page offset or displacement.

c. With a single-level page table, the maximum number of entries would be equal to the number of possible logical addresses. In this case, since the logical address requires 38 bits, the maximum number of entries in the single-level page table would be 2^38.

d. The size of the single-level page table is determined by the number of entries it contains. Since each entry maps to a page of size 4KB, the size of the single-level page table can be calculated by multiplying the number of entries by the size of each entry. In this case, the size would be 2^38 * 4KB, which equals 2^20 pages.

e. For a two-level page table, the size of the outer page table is determined by the number of entries it can contain. Since the outer page table uses 4KB pages, the maximum number of entries it can have depends on the remaining bits of the logical address. The number of bits used for the index into the outer page table is determined by subtracting the bits used for the inner page index and the offset from the total number of bits in the logical address.

f. The number of bits used to specify an index into the inner page table can be determined by subtracting the bits used for the offset and the bits used for the outer page index from the total number of bits in the logical address. The remaining bits are then used to specify the index into the inner page table.

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Answer:

-43

Step-by-step explanation:

m=8, n=11, and p=-3

mp=8x-3=-24

-24-m=-24-8=-32

-32-n=-32-11=-43

Answer:

\(\frac{1}{32^{7} }\)

Step-by-step explanation:

\(32^{-1}\)÷\(32^{6}\)

First is combine exponents.  -1 + -6=-7

Next is to multiply. The answer becomes,  

=\(\frac{1}{32^{7} }\)

a = 18°

we have opposite angles =>

=> 6a + 11 = 2a + 83

6a - 2a = 83 - 11

4a = 72

a = 72 : 4

a = 18°

33.3miles/ hour was their average speed from hour 1 to hour 4. The overall distance the object covers in a given amount of time is its average speed.

The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude. Please share the formula for calculating average speed as well as instances with solutions.

average speed=total distance/total time

distance =150-50=100miles

time =4-1 =3 hours

average speed=100/3

                       = 33.3miles/ hour

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In general, for a set A with n elements, the number of distinct pairs of disjoint non-empty subsets of A, whose union is all of A, is given by \(2^{(n-1)} - 1.\)

The number of distinct pairs of disjoint non-empty subsets of set A, whose union is all of set A, can be calculated as \(2^{(n-1)} - 1\). where n is the number of elements in set A.

To understand why this formula holds, let's consider an example:

Suppose set A has 3 elements: {a, b, c}.

The possible non-empty subsets of set A are:

{a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c}.

Among these subsets, we need to find pairs of disjoint subsets whose union is all of A. Disjoint subsets are subsets that have no elements in common.

The pairs of disjoint subsets whose union is all of A are:

({a}, {b, c}), ({b}, {a, c}), ({c}, {a, b}).

So in this case, there are 3 such pairs.

Using the formula \(2^{(n-1)} - 1\):

n = 3 (number of elements in set A)

\(2^{(3-1)} - 1\) = 4 - 1

= 3

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The equation of motion we will use is

Where

v is the final velocity

u is the initial velocity

a is the acceleration

t is the time

From the problem, we can figure out that the starting velocity, u, is 20. The time, t, is 40. The final velocity, v, will be 0.

Substituting, let's figure out acceleration, a :

The acceleration is negative because it is deceleration.

Answer:

Result: 13

The result is rational because it can be written as the ratio of two integers and its decimal expansion can terminate or repeat

Step-by-step explanation:

Based on the given conditions, formulate: √9 + 5√4

Factor and rewrite the radicand in exponential form:√3²+5√2²

Simplify the radical expression: 3 + 5 × 2

Calculate the product or quotient: 3 + 10

Calculate the sum or difference: 13

Based on the definition of rational number: 13 is rational

Answer:

hy the answer is C. a car maintained constant speed

Answer:

c.A car maintained constant speed

Step-by-step explanation:

according to the graph,velociry is always in a straight line over time.

so the velocity is constant

so A car maintaned constant speed

Answer:

C.

Step-by-step explanation:

A repeating decimal is always rational I think.

I hope this helps!

Answer:

11x

Step-by-step explanation:

Note the rule

\(\boxed{\sf a_n=ar^{n-1}}\)

Now

\(\\ \tt\longmapsto a_2=3(-1/2)^{2-1}=3(-1/2)=-3/2\)

\(\\ \tt\longmapsto a_3=3(-1/2)^{3-1}=3(-1/2)^2=-3/4\)

\(\\ \tt\longmapsto a_4=3(-1/2)^{4-1}=3(-1/2)^3=-3/8\)

\(\\ \tt\longmapsto a_5=3(-1/2)^{5-1}=3(-1/2)^4=-3/16\)

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

\(\cfrac{x}{48}=\cfrac{48}{64}\implies \cfrac{x}{48}=\cfrac{3}{4}\implies 4x=144\implies x=\cfrac{144}{4}\implies \boxed{x=36}\)

The connection string for SQL Server using Windows Authentication is as follows:

Server=myServerAddress;Database=myDataBase;Trusted_Connection=True;

Specify the server address in the format "Server=myServerAddress". Replace "myServerAddress" with the name or IP address of the SQL Server instance you want to connect to.

Specify the name of the database you want to connect to in the format "Database=myDataBase". Replace "myDataBase" with the name of the database.

Use Windows Authentication by setting "Trusted_Connection=True". This means that the user running the application is authenticated using their Windows credentials, rather than a SQL Server login.

Use semicolons (;) to separate the different parts of the connection string.

Using Windows Authentication is a more secure and convenient way to connect to a SQL Server database, as it eliminates the need to store and manage login credentials in the application.

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Bellman equation usually refers to the dynamic programming equation associated with discrete-time optimization problems. The maximum value is -1. Therefore V*(s) = -1

In continuous-time optimization problems, the analogous equation is a partial differential equation that is called the Hamilton–Jacobi–Bellman equation. To calculate the value of V*(s) using the given Q* values, we need to find the maximum Q* value among all the actions in state s.

Given:

Q*(s, aj) = -1

Q*(s, a2) = 0

Q*(s, a3) = 0

Q*(s, a4) = 0

To find V*(s), we take the maximum Q* value:

V*(s) = max(Q*(s, aj), Q*(s, a2), Q*(s, a3), Q*(s, a4))

Comparing the Q* values, we can see that the maximum value is -1. Therefore:

V*(s) = -1

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Rolling two dice and obtaining a perfect square sum and obtaining an even sum are not independent events i.e. the occurrence of one affects the probability of the other occurring.

To determine whether events a and b are independent, let's first find the probability of event a, the sum of the dice being a perfect square. There are 36 possible outcomes when rolling two dice, and 5 of them give a sum of 4 (1+3, 2+2, 3+1, 1+3, 2+2), and 4 of them give a sum of 9 (3+6, 4+5, 5+4, 6+3), so a total of 9 outcomes give a perfect square sum. Therefore, the probability of event a is 9/36 = 1/4.

Now let's find the probability of event b, the sum of the dice being even. There are 18 outcomes that give an even sum: (1+1, 1+3, 1+5, 1+7, 2+2, 2+4, 2+6, 3+3, 3+5, 3+7, 4+4, 4+6, 5+5, 5+7, 6+6, 7+7, 4+2, 6+2). Therefore, the probability of event b is 18/36 = 1/2.

To determine whether events a and b are independent, we need to check whether the probability of event a changes when we know that event b has occurred. If events a and b are independent, then the probability of a given that b has occurred should be the same as the probability of a without considering b.

Let's calculate the conditional probability of event a given that event b has occurred. If the sum of the dice is even, then the only possible ways to get a perfect square sum are with 2+2 or 6+2, so there are only 2 outcomes out of the 18 that satisfy both events. Therefore, the conditional probability of event a given that event b has occurred is 2/18 = 1/9.

Since the conditional probability of a given b is not equal to the probability of a without considering b, we can conclude that events a and b are not independent.

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The length of line segment LB is equal by definition of bisector to 6 feet.

In this question we find a geometric system with two right triangles generated by bisector AL, that is, a side that divides line segment CL into two segments of equal length. Then, the length of line segment LB is equal to:

CL = LB

Where CL and LB are measured in feet.

If we know that CL = 6 ft, then the length of line segment LB is 6 feet.

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Answer:

KL = 16

Step-by-step explanation:

For this problem, JL is the sum of KL and JK.  So we can say this:

JK + KL = JL

( 3x + 6 ) + ( 5x + 6 ) = 28

8x + 12 = 28

8x = 16

x = 2

So, now we can find KL:

5x + 6 = ?

5(2) + 6 = ?

10 + 6 = ?

16 = ?

So the length of KL is 16.

Cheers.

Answer:

assuming that the equations are equal to zero the answers would be

3   ,   -3    ,  5

Step-by-step explanation:

Answer:

[See Below]

Step-by-step explanation:

✦  Five hundred twenty million, seven hundred eighty-three thousand, one hundred six.

This is the written form of \(520783106\).

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

4.75t + 7.50b = 790

b = 2t

Step-by-step explanation:

Let t represent the number of tacos that he sold, and let b represent the number of burritos he sold.

4.75t can represent how much money he earned from selling tacos, and 7.50b can represent how much money he earned from selling burritos.

Create an equation that adds these together and sets them equal to 790:

4.75t + 7.50b = 790

Next, create another equation that represents how there were twice as many burritos sold than tacos.

This can be represented by b = 2t.

The system of equations is:

4.75t + 7.50b = 790

b = 2t

To determine the rate of two people moving apart, consider their velocities as vectors. Person A moves north at 4 ft/s, while Person B walks south for 15 minutes. Calculate position after 15 minutes using velocity vector and distance formula, resulting in 129 ft/min distance between them.

To find the rate at which the two people are moving apart, we can consider their velocities as vectors. Let's assume that the starting point, point P, is the origin of a coordinate system.

Person A is moving north at 4 ft/s, so their velocity vector can be represented as <0, 4>.

Person B starts walking south 5 minutes later, so they have been walking for 15 minutes. Since they are walking south, their velocity vector is <0, -5>.

The position of Person A after 15 minutes can be calculated by multiplying their velocity vector by the time elapsed: <0, 4> * 15 = <0, 60>.

Similarly, the position of Person B after 15 minutes can be calculated by multiplying their velocity vector by the time elapsed: <0, -5> * 15 = <0, -75>.

The distance between the two people can be calculated using the distance formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2). Plugging in the values, we get distance = sqrt((0 - 0)^2 + (60 - (-75))^2) = sqrt(0 + 1935^2) = sqrt(3740225) = 1935 ft.

Therefore, the two people are moving apart at a rate of 1935 ft/15 min = 129 ft/min.

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