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4 years ago

6-^3 ------ 6-^4 A) 6-7 B) 6-1 C) 61 D) 612

Mathematics

2 answers:

Bad White [126]4 years ago

5 0

The answer should be 6 I.e 6^1 as with indices rules you need to subtract the powers (-3-(-4)) which equals 1

Irina-Kira [14]4 years ago

5 0

Answer:

$6^1$

Step-by-step explanation:

$Use\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\\dfrac{6^{-3}}{6^{-4}}=6^{-3-(-4)}=6^{-3+4}=6^1$

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Logan measured a line to be 7.4 inches long. If the actual length of the line is 7.7 inches, then what was the percent error of

algol13

Answer:

3.9%

Step-by-step explanation:

Percentage error

$= \frac{7.7 - 7.4}{7.7} \times 100 \\ \\ = \frac{0.3}{7.7} \times 100 \\ \\ = \frac{300}{77} \\ \\ = 3.8961039 \\ \\ = 3.9 \%$

8 0

3 years ago

Read 2 more answers

Please help me I'm stumped on this

Sladkaya [172]

Answer: 1300 cm^3, 850 cm^2

Step-by-step explanation:

With a triangular prism, you need to calculate the surface area of the triangle first and then the length. Here's how to solve for the volume (A):

Triangles is b*h/2, plug in the equation

10*13/2

130/2

Now use the length of the rest of the shape, which is 20 cm.

65*20=1300

the volume is 1300 cm^3.

for B, finding the surface area requires you to analyze each individual part of the shape.

Each part colored in represents a different shape:

Red:

10*20=200

Blue:

13*10/2=65

65*2=130 (Two triangles)

Green:

13*20=260

260*2=520 (Two rectangles)

Add them all up together.

200+130+520= 850 cm^2

8 0

3 years ago

The rectangle is 16 inches by 25 inches. If the scale is 4 in :5 ft what is the length and width of the rectangle in feet.

Alenkasestr [34]

Answer:

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

Step-by-step explanation:

Let the scale be $4\,in\,:\,5\,ft$ and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale ( $r$ ), measured in inches per feet, is equivalent to the following rational number:

$r = \frac{4\,in}{5\,ft}$

We can convert each length by dividing it by scale factor. That is:

Length

$l' = \frac{16\,in}{\frac{4\,in}{5\,ft} }$

$l' = 20\,ft$

Width

$w' = \frac{25\,in}{\frac{4\,in}{5\,ft} }$

$w' = 31.25\,ft$

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

8 0

3 years ago

PLEASE HELP!! (50 POINTS)

Marrrta [24]

Answer:

Since pair of opposite sides are parallel and adjacent sides meets at right angles, the quadrilateral COAT is a rectangle.

Step-by-step explanation:

The vertices of the given quadrilateral is $C(2,0),O(7,0),A(7,2),T(2,2)$

It is sufficient to show that pair of opposite sides are parallel and adjacent sides are perpendicular.

The slope of each side can be found using the formula;

$m=\frac{y_2-y_1}{x_2-x_1}$

Slope of CO,

$M_{CO}=\frac{0-0}{7-2}=\frac{0}{5} =0$

A line with a zero slope is a horizontal line.

The slope of OA,

$M_{OA}=\frac{2-0}{7-7} =\frac{2}{0}$

This slope is undefined.

A line with an undefined slope is a vertical line.

This shows that,the side CO and OA of the quadrilateral meets at right angle.

The slope of AT,

$M_{AT}=\frac{2-2}{7-0}=\frac{0}{5}=0$

This is also a horizontal line.

The slope of TC,

$M_{TC}=\frac{2-0}{2-2} =\frac{2}{0}$

This also a vertical line.

This implies that, side TC and side AT meets at Tat right angles and TC is parallel to OA.

Also AT is parallel to TO.

This shows that COAT is a rectangle.

8 0

3 years ago

If lena has 5 kids and she has 9 more but loses 3 kids then she found 19 kids so she just kept them. how many kids now does she

Dahasolnce [82]

She has 30 children........

3 0

3 years ago

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