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denis23 [38]
3 years ago
13

The length of line PQ is 7.5 inches. what is the absolute error of the measurement?

Mathematics
1 answer:
Rashid [163]3 years ago
4 0

Answer:

The absolute error of the measurement is 0.25 inches

Step-by-step explanation:

we know that

The absolute error of a measurement is equal to one  half the unit of measure.

In this problem we have

7.5 inches

The measurement is given  by 0.5 inches

So

the absolute error of this  measurement is  

\frac{1}{2}(0.5)=0.25\ in

Therefore

the exact measurement could be between  

7.5 (+/-) 0.25 in

That is, between  7.25 in and  7.75 in

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luke jogged a total of 56.5 miles last week. if luke jogged the same distance,d, each day for 3 days and half that distance on e
Leokris [45]
The algebraic equation used to answer this question is:
3d + 4(1/2d) = 56.5
This is because he ran d, the distance, three times that week. For the rest of the four days, he ran 1/2 the distance, or half d.
To find the answer, you first distribute:
3d + 2d = 56.5
Add like terms:
5d = 56.5
Divide both side by 5:
5d/5 = 56.5/5
d = 11.3
On the first three days, Luke jogged 11.3 miles. On the remaining days, where he jogged 1/2d, Luke jogged 5.65 miles.
Hope this helps!
3 0
4 years ago
Write an equation of a ine in slope-intercept form that passes through a point (4,-6) and has a slope of -3.
Sindrei [870]

Answer:

y= -3x +6

Step-by-step explanation:

<u>slope-intercept form</u><u>:</u>

y=mx +c, where m is the slope and c is the y-intercept.

Given that the slope is -3, m= -3.

Susbt. m= -3 into the equation:

y= -3x +c

Since the line passes the point (4, -6),

(4, -6) lies on the line and must therefore satisfy the equation. Thus, susbt. (4, -6) into the equation to find the value of c.

y= -3x +c

when x=4, y= -6,

-6= -3(4) +c

-6= -12 +c

c= 12 -6

c= 6

Hence, the equation of the line is y= -3x +6.

7 0
3 years ago
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