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tigry1 [53]
3 years ago
15

Round 0.9998 to 3 decimal places

Mathematics
2 answers:
pogonyaev3 years ago
5 0
<span>In the laws of mathematics, especially in rounding off digits, you should take note of the digit following that number no matter how long or short a number is. If the number is preceded by numbers between 0-4, the number does not change. However if its is preceded by numbers between 5-9, add one to the number. In this problem, you are required to round off each number to the nearest ten million before adding them. So 0.9998 is equal to 1 </span>
mojhsa [17]3 years ago
3 0
The answer would be one because  .9998 would round the 9 to a 10 which would round the second 9 and then the third nine to make 1

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Use substitution to solve the linear system of equations. y=-3x+1 y=2x-4 (-2, 1) (1, -2) (1, 2) (-1, -2)
shtirl [24]

Answer:

Solution of the equations is (1, -2).

Step-by-step explanation:

Two linear  equations given in the question are

y = -3x+1-------------(1)

and y = 2x-4 ------------(2)

To solve these equations by substitution method we will substitute the value of y from equation (1) to equation number (2).

-3x+1 = 2x-4

Now we add 3x on both the sides of the equation

3x-3x+1 = 3x+2x-4

1 = 5x-4

we will add 4 on both the sides

1+4 = 5x-4+4

5 = 5x

Then we divide the equation by 5

5/5 = 5x/5

x = 5/5 = 1

Now we solve the equation (1) for the value of y by putting x = 1

y = -3(1)+1 = -3+1 = (-2)

So the solution will be (1 -2).



6 0
3 years ago
Twelve flags are evenly spaced around a running track. Ryan started running at the first flag and took 30 seconds to reach the s
aniked [119]

Answer:

Ryan takes 6n+36m -42 seconds to reach the nth flag for the mth time.

Step-by-step explanation:

It takes Ryan to run from 1st to 6th flag in 30 seconds, so it takes him

30 * 6/3 = 36 seconds to make one complete round.

or it takes 6 seconds to run from one flat to the next.

To reach the nth flag (n=1,2,3,4,5, or 6)

Ryan takes 6(n-1) seconds.

To reach it the mth times, he needs to add 36(m-1) seconds.

So time it takes Ryan to reach the nth flag for the mth time takes

6(n-1) + 36(m-1)

= 6n - 6 + 36m - 36

= 6n+36m -42 seconds

3 0
3 years ago
Find the work done by gas?
Elena-2011 [213]

The work done by the gas when the gas expands will be 878.89 ft-lb.

<h3>What is the work done for an isothermal process?</h3>

The Pressure is inversely proportional to the volume.

Let the initial pressure and initial volume be P₁ and V₁, and the final volume be V₂.

Then the work done by the gas will be

WD = P₁ V₁ ln (V₂ / V₁)

A quantity of the gas with an initial volume of 1 cubic foot and an initial pressure of 400 pounds per square foot.

The gas expands to a volume of 9 cubic feet.

Then the work done by the gas will be

WD = 400 x 1 x ln (9/1)

WD = 400 x 2.197

WD = 878.89 ft-lb

The work done by the gas when the gas expands will be 878.89 ft-lb.

More about the work done for the isothermal process link is given below.

brainly.com/question/4218306

#SPJ1

6 0
2 years ago
What is the lateral surface area of the rectangular pyramid below? NEEDS DONE ASAP
Anon25 [30]

Answer:

The answer to your question is 684 ft²

Step-by-step explanation:

Data

Rectangle                      Triangle 1                      Triangle 2

base = 20 ft                    base = 20 ft                 base = 18 ft

height = 18 ft                   height = 9 ft                 height = 8 ft

Process

1.- Calculate the area of the rectangle

Formula

Area = base x height

Substitution

Area = 20 x 18

Result

Area = 360 ft²

2.- Calculate the area of the triangle 1

Formula

Area = base x height / 2

Substitution

Area = 20 x 9 / 2

-Result

Area = 90 ft² x 2 = 180 ft²

3.- Calculate the area of the triangles 2        

Substitution

Area = 18 x 8 / 2

Result

Area = 72 ft² x 2 = 144 ft²

4.- Calculate the area of the pyramid

Total area = 360 + 180 + 144

                 = 684 ft²

5 0
4 years ago
The exponential function f, whose graph is given below, can be written as​
Mazyrski [523]

Answer:

f(x) = 2·3^x

Step-by-step explanation:

We have the general equation of exponential functions as

y= a*b^x

We are given that the point (0,2) is on the graph so

when x= 0, y= 2

If we substitute in the general equation we see that

2 = a*b^0, any number to the power 0 is 1

2 = a

We were also given that point (1, 6 ) is on the graph;

If we substitute in our new found equation we see that

y=2·b^x

6 = 2·b^1 , any number to the power 1 is itself and

                 divide both sides by 2

3 = b

f(x) = 2·3^x

3 0
3 years ago
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