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Lera25 [3.4K]
3 years ago
8

Guided Practice

Mathematics
1 answer:
NARA [144]3 years ago
4 0

Answer:

C.

1 ≤ w ≤ 5

Step-by-step explanation:

Move all terms not containing  

w

from the center section of the inequality.

Inequality Form:

1 ≤ w ≤ 5

Interval Notation:

[ 1 , 5 ]

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professor190 [17]

Answer:

how to help u the picture is black

8 0
2 years ago
The circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the ma
andreev551 [17]

The maximum error in the calculated surface area is 24.19cm² and the relative error is 0.0132.

Given that the circumference of a sphere is 76cm and error is 0.5cm.

The formula of the surface area of a sphere is A=4πr².

Differentiate both sides with respect to r and get

dA÷dr=2×4πr

dA÷dr=8πr

dA=8πr×dr

The circumference of a sphere is C=2πr.

From above the find the value of r is

r=C÷(2π)

By using the error in circumference relation to error in radius by:

Differentiate both sides with respect to r as

dr÷dr=dC÷(2πdr)

1=dC÷(2πdr)

dr=dC÷(2π)

The maximum error in surface area is simplified as:

Substitute the value of dr in dA as

dA=8πr×(dC÷(2π))

Cancel π from both numerator and denominator and simplify it

dA=4rdC

Substitute the value of r=C÷(2π) in above and get

dA=4dC×(C÷2π)

dA=(2CdC)÷π

Here, C=76cm and dC=0.5cm.

Substitute this in above as

dA=(2×76×0.5)÷π

dA=76÷π

dA=24.19cm².

Find relative error as the relative error is between the value of the Area and the maximum error, therefore:

\begin{aligned}\frac{dA}{A}&=\frac{8\pi rdr}{4\pi r^2}\\ \frac{dA}{A}&=\frac{2dr}{r}\end

As above its found that r=C÷(2π) and r=dC÷(2π).

Substitute this in the above

\begin{aligned}\frac{dA}{A}&=\frac{\frac{2dC}{2\pi}}{\frac{C}{2\pi}}\\ &=\frac{2dC}{C}\\ &=\frac{2\times 0.5}{76}\\ &=0.0132\end

Hence, the maximum error in the calculated surface area with the circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm is 24.19cm² and the relative error is 0.0132.

Learn about relative error from here brainly.com/question/13106593

#SPJ4

3 0
2 years ago
Solve for x in the parallelogram below.<br> PLEASE HURRY
Elina [12.6K]

Answer:

x=6

Step-by-step explanation:

Hope it was right

7 0
3 years ago
Read 2 more answers
Given:
olga55 [171]

Answer:

Step-by-step explanation:

y = 1/3x + 6

y = 1/4x + 3

this is just a matter of substitution...subbing in one y for the other

y = 1/3x + 6.....so sub in 1/3x + 6 in for y, back into the second equation or u can work it the other way and sub in 1/4x + 3 in for y, back into the first equation....either way will work

1/3x + 6 = 1/4x + 3

1/3x - 1/4x = 3 - 6

4/12x - 3/12x = -3

1/12x = -3

x = -3 * 12

x = - 36

now sub that back into either of ur original equations to find y

y = 1/3x + 6

y = 1/3(-36) + 6

y = - 12 + 6

y = - 6

solution is : x = -36 and y = -6 or (-36,-6)

8 0
3 years ago
If 7x + 4 = -19 + 5x, then 2x – 14 equals<br>A-23<br>B 23<br>C-37<br>D-14​
drek231 [11]

Answer:

C

Step-by-step explanation:

Here we have the question,

7x+4 = -19 + 5x

Now we add 19 to both sides,

7x + 4 + 19 = -19 + 19 + 5x

7x + 23 = 5x

Now we subtract 7x from both sides,

23 = -2x

We divide -2 from both sides,

x = -23/2

Now we plug this in into 2x - 14,

2(-23/2) - 14 = -23-14 = -37

Our answer is C

7 0
3 years ago
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