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3 years ago

Following set of coordinates represents which figure (3 -5)(5 -2)(10 -4)(8 -7)

Mathematics

1 answer:

Dvinal [7]3 years ago

3 0

Check the picture below.

notice the red rise/run slopes, are the same, thus those two lines are parallel, and also notice the green one for the other two lines, meaning both pair of lilnes are parallel.

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Show that any positive odd integer is of the form 4m+1 or 4m+3, where m is some integer

zzz [600]

Answer:

Step-by-step explanation:

I am taking q as some integer.

Let a be the positive integer.

And, b = 4 .

Then by Euclid's division lemma,

We can write $a = 4q + r$ ,for some integer $q\ \text {and}\ 0 \leq r < 4 .$

°•° Then, possible values of r is 0, 1, 2, 3 .

$\texttt {Taking} \ r = 0 .\\\\a = 4q .$

$\texttt {Taking} \ r = 1 .\\\\a = 4q + 1 .\\\\\texttt {Taking} \ r = 2\\\\a = 4q + 2 .\\\\\texttt {Taking} \ r = 3 .\\\\a = 4q + 3 .$

But a is an odd positive integer, so a can't be 4q , or 4q + 2

[ As these are even ] .

•°• a can be of the form 4q + 1 or 4q + 3 for some integer q .

6 0

3 years ago

If you have $100 can you spend $92 if there is an 8.5% tax ?

fredd [130]

Yes. 92 * 1.085 is 99.82

5 0

3 years ago

____ assist with the complexity of generating a resource-leveled schedule and resource requirements graphs and tables. a. Projec

zysi [14]

Answer:

Option A, PROJECT MANAGEMENT INFORMATION SYSTEMS.

Step-by-step explanation:

A project management information systems (PMIS) is the coherent organization of the information required for an organization to execute projects successfully.

A PMIS is typically one or more software applications and a methodical process for collecting and using project information.

It is an information system consisting of the tools and techniques used to gather, integrate, and disseminate the outputs of project management processes.

Therefore, PROJECT MANAGEMENT INFORMATION SYSTEMS assist with the complexity of generating a resource-leveled schedule and resource requirements graphs and tables.

8 0

3 years ago

For a ride on a rental scooter, David paid a $3 fee to start the scooter plus 11 cents per minute of the ride. The total bill fo

stealth61 [152]

To set this up you need to create the equation, the total cost is $22.69, so that will be on one side of the equation. The other side will be the flat rate 3, plus the 11 cents per minute.
22.69 = 0.11x +3

To solve this we need to subtract 3 from both sides, and then divide the total by 0.11 to get x alone:

22.69 = 0.11x +3
19.69 = 0.11x
x =179
So David rode the ride for 179 minutes. (Dividing by 60 will give you the number of hours since there is 60 minutes in 1 hour. So it’s about 3 hours.)

4 0

2 years ago

A cube with 20-cm-long sides is sitting on the bottom of an aquarium in which the water is one meter deep. Find the hydrostatic

nadya68 [22]

Answer:

a) 313.6N

b) 78.4 N

Step-by-step explanation:

The pressure in a fluid varies with depth.

a) Hydrostatic force on the top surface of the cube = Pressure on the top surface × Area of the top surface.

Pressure at that depth = ρgh

ρ = density of the fluid = 1000 kg/m³

g = acceleration due to gravity = 9.8 m/s²

h = depth of water at that top surface = (1 - edge length of the cube) = 1 - 0.2 = 0.8 m

Pressure at the depth = 1000 × 9.8 × 0.8 = 7840 Pa

Area of the top surface = (edge length)² = (0.2)² = 0.04 m²

Hydrostatic force on the top surface = 7840 × 0.04 = 313.6 N

b) Hydrostatic force on the side = (sum of pressure on the side × Area of the side)

Sum of pressure on the side = sum of pressure at each depth level of the side and is given by

P = ∫ ρg dh

Integrating from the depth at the top of the cube to its bottom, that is, from 0.8 to 1.0m

P = ρg (1 - 0.8) = 1000 × 9.8 × 0.2 = 1960 N

A = 0.04 m²

Hydrostatic force on the side = 1960 × 0.04 = 78.4 N

3 0

4 years ago