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Ksju [112]
3 years ago
5

Convert 25 1/3% to decimal. Round to the nearest thousandth if necessary.

Mathematics
1 answer:
Anni [7]3 years ago
6 0
Decimal: 25.3333, but converted properly it is
.253333....(repeating) so to the nearest thousands it would be .253
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Consider the error in using the approximation e−x≈1−x on the interval [−1,1]. (a) reasoning informally, on what interval is this
crimeas [40]

e^{-x} \approx 1 - x

is a classic approximation, true for small x.

The next term in the polynomial expansion will be +kx^2 where k is a positive number. So our estimate 1-x is definitely an underestimate on both sides of x=0.

Since for negative xs the exponential rises exponentially and the line only linearly, the exponential exceeds the line for all negative x. For positive x, the line quickly goes negative while the exponential is always positive.

So, there's no interval for which our approximation is an overestimate.

6 0
3 years ago
Flying to England with a tailwind a plane averaged 158km/h one the return trip the plane only averaged 112 km/h while flying bac
lyudmila [28]

Answer: the speed of the plane in still air is 135 km/h

the speed of the wind is 23 km/h

Step-by-step explanation:

Let x represent the speed of the plane in still air.

Let y represent the speed of the wind.

Flying to England with a tailwind a plane averaged 158km/h. This means that the total speed of the plane is (x + y) km/h. Therefore,

x + y = 158 - - - - - - - - - - - - - -1

On the return trip, the plane only averaged 112 km/h while flying back in the same wind. This means that the total speed of the plane is (x - y) km/h. Therefore,

x - y = 112 - - - - - - - - - - - - - -2

Adding equation 1 to equation 2, it becomes

2x = 270

x = 270/2 = 135 km/h

Substituting x = 135 into equation 2, it becomes

135 - y = 112

y = 135 - 112

y = 23 km/h

7 0
3 years ago
-5x-10=10 solve for x
BaLLatris [955]

Answer:

x = -4

Step-by-step explanation:

-5x-10=10

Add 10 to each side

-5x-10+10=10+10

-5x = 20

Divide each side by -5

-5x/-5 = 20/-5

x = -4

7 0
3 years ago
Read 2 more answers
If x = 5, y = 2 and z = 3 then xz (4y - 2z) is
WARRIOR [948]
(4x2-2x3)
(8-6)
xz=2

Hope this helps!
4 0
3 years ago
Read 2 more answers
I dont understand and this is very urgent so can someone help me out please?
wariber [46]

Answer:

Please Find the solution below

Step-by-step explanation:

Let us say the two equations are

x+y=5            --------------(A)

x-y=1              -------------(B)

Let us solve them for x and y by adding them

2x=6

x=3

Hence from (A)

3+y=5

y=2

Hence our solution is

x=3, y=2

Adding same number to equation (A) say 2 we get

x+y+2=5+2

x+y=5+2-2

x+y=5

Hence equation remains the same while adding same number to each side.

Same thing happens if we add same number to equation (B)

Hence we draw the conclusion that the solution remains the same if same number is added to each side of the original equation.

6 0
3 years ago
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