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Anettt [7]
2 years ago
8

A student estimated a mass for by 325g, but upon carefully mesuring it, found the actual mass to be 342g. What is the percent er

ror?
Mathematics
1 answer:
vlada-n [284]2 years ago
7 0

Answer:

5.2307 %

Step-by-step explanation:

(acutal mass- estimated mass) / ( estimated mass)

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Solve for x if 2(5x+2)^2=48
likoan [24]
2(5x + 2)^2 = 48
divide both sides by 2
(5x + 2)^2 = 24
square root both sides to clear the power of two.
5x + 2 = + - sqrt24
subtract 2 from both sides
5x = -2 + - sqrt 24
divide both sides by 5
x = (-2 +-sqrt24)/5 or decimal answers .58 and -1.38
7 0
2 years ago
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The position of an open-water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to
Elenna [48]

Answer:

y = -\frac{4}{3}x + 9

Step-by-sep explanation:

To create an equation that represents the shortest oath of the swimmer that is perpendicular to the shoreline, we need to find the slope, m, and the y-intercept, b.

The slope of the path would be the negative reciprocal of the slope of the shoreline, since they are perpendicular.

Let's find the slope of the shoreline.

Using two points on the shoreline, (0, 1) and (4, 4),

Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 1}{4 - 0} = \frac{3}{4}

Therefore the slope, m, of the swimmer's path that is perpendicular to the shoreline would be -⁴/3.

Use the point of the swimmer and the slope of the path to find b.

Substitute m = -⁴/3, (x, y) = (6, 1) in y = mx + b

1 = (-\frac{4}{3})(6) + b

1 = -8 + b

Add 8 to both sides

1 + 8 = b

9 = b

b = 9

Now that we know the slope, m = -⁴/3, and the y-intercept, b = 9, plug in their values into y = mx + b.

The equation of the path would be:

y = -\frac{4}{3}x + 9

5 0
2 years ago
Which story represents the equation six sevenths times one fourth?
Vesnalui [34]

Answer:  (C) Victoria has six sevenths of a pizza. She ate one fourth of it for dinner. How much pizza did Victoria eat for dinner?

Step-by-step explanation: One clue is "of" in the story and which matches "times" in the equation sentence. The question is is about multiplication.

Words such as "more" "and" & "total" are usually clues that the question is about addition. "Give" "take" "difference" & "have/are left" are clues that there is subtraction in the process.

8 0
2 years ago
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Over the last 50 years, the average temperature has increased by 2.5 degrees worldwide (I made this up). What is the rate of cha
Dovator [93]
50 years ... 2.5 degrees
1 year ... x degrees = ?

If you would like to know what is the rate of change in worldwide temperatures per year, you can calculate this using the following steps:

50 * x = 2.5 * 1
50 * x = 2.5      /50
x = 2.5 / 50
x = 0.05 degrees per year

Result: The rate of change is 0.05 degrees per year.
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2 years ago
Hayden, from the blog "Hanging with Hayden," directly sent an email to her reader's age 18 to 21 and asked the survey question,
QveST [7]

Answer:

e.) The survey is meaningless because of nonresponse bias.

Step-by-step explanation:

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