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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?

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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Use laws of exponents to simplify inside the parentheses of the given expression ((a ^ - 2 * b ^ 2)/(a ^ 2 * b ^ - 1)) ^ - 3

Annette [7]

Answer:

$(\dfrac{a ^{ - 2 } b ^ 2}{a ^ 2 b ^ {- 1}}) ^ {- 3}=(a^{-2-2}b^{2+1})^-3=(a^{-4}b^{3})^{-3}=a^{12}b^{-9}$

Step-by-step explanation:

hope this helps

6 0

2 years ago

Department started out with 100 pencils and 200 pens during the lat quarter of this year they lost 4% of the pens and 2% of the

o-na [289]

Answer:

The remaining number of the pencil = 98

The remaining number of the pens = 192

Step-by-step explanation:

Here, according to the question:

The number of pencils at the starting at the quarter = 100

The percentage of the lost pencil over the year = 2%

Now, calculating the lost pencil, we get:

2% of 100 = $\frac{2}{100} \times 100 = 2$

⇒The number of lost pencil over the year = 2

So,Number of remaining Pencil = Total pencil - Number of pencil lost

= 100 - 2 = 98

The number of pens at the starting at the quarter = 200

The percentage of the lost pens over the year = 4%

Now, calculating the lost pens, we get:

4% of 200 = $\frac{4}{100} \times 200 = 8$

⇒The number of lost pens over the year = 8

So,Number of remaining Pens = Total pens - Number of pens lost

= 200 - 8 = 192

Hence, the remaining number of the pencil = 98

And and the remaining number of the pens at the end of the year = 192

6 0

2 years ago

A farmer is planning to build a right triangular enclosure in his back pasture. He has already determined the length of the base

MissTica

Plug in the other side for X Sorry if this is not helpful

8 0

2 years ago

15. In the drawing, find the perimeter of triangle BIS.<br>

Nesterboy [21]

Answer:

29.86 units

Step-by-step explanation:

In the triangle BIS, IT is the bisector of angle BIS,

$BI \cong ST.... (given) \\$

Let BI = ST = x... (1)

By angle bisector property of a triangle, we have:

$\frac{BI}{IS} = \frac{BT}{ST}.... (2)\\\\\frac{x}{12} = \frac{4}{x}\\\\x\times x = 12\times 4\\\\x^2 = 48\\\\x=\sqrt{48}\\\\x = 6.92820323\\\\x = 6.93\\$

Therefore,

BI = ST =6.93

Perimeter of triangle BIS

= BI + IS + ST + BT

= 6.93 + 12 + 6.93 + 4

= 29.86 units

3 0

2 years ago

The area of a rectangle is (4x2 − 49y2) square units. Determine the dimensions of the rectangle by factoring the area expression

Pani-rosa [81]

Answer:

8x

Step-by-step explanation:

$(4x^{2} - 49y^{2} ) = (2x+7y)(2x-7y)$

4 0

2 years ago