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3 years ago

Simplify the following expression and write it in an exponential function form.

Mathematics

1 answer:

Sergio039 [100]3 years ago

7 0

Answer:

1/4 b^9

Step-by-step explanation:

(b^11 b^-7)/4b^-5

We know x^y * x^z = x^(y+z)

b^11 * b^ -7 = b^ (11-7) = b^4

(b^11 b^-7)/4b^-5

b^4 / 4 b^-5

We know x^y / x^z = x^(y-z(

b^4 / b^-5 = b^(4 - -5) = b^(4+5) = b^9

1/4 b^9

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A scale drawing of a living room is shown below. The scale is 1 : 40. A rectangle is shown. The length of the rectangle is label

Temka [501]

The scale ratio of a point A to another point B is the division of the length of B by the length of A. The area of the room is approximately 266.67 square feet.

Given that:

$Scale = 1:40$

$l = 6in$ --- length of rectangle

$w = 4in$ --- width of rectangle

Divide by 12 to convert the dimensions to feet

$l = \frac{6}{12}ft$

$w=\frac{4}{12}ft$

$Scale = 1:40$ means that the dimension of the room is 40 times the dimension of the rectangle.

So, we have:

$Length = \frac{6}{12}ft * 40 = 20ft$

$Width = \frac{4}{12}ft * 40 = \frac{40}{3}ft$

The area of the room is:

$Area = Length * Width$

So, we have:

$Area = 20ft * \frac{40}{3}ft$

$Area = \frac{800}{3}ft^2$

$Area = 266.67ft^2$

The area of the room is 266.67 square feet

Read more about scale ratios at:

brainly.com/question/16713785

4 0

3 years ago

Angelica uses the point (4,3) to represent the location of her house and uses the point (10,8) to represent the location of a ga

Allushta [10]

Answer:

Distance between Gas Station and House = 7.81 miles.

Step-by-step explanation:

Given: House location ( 4, 3 ) and Gas station location ( 10, 8)

On graph 1 unit = 1 mile.

To find: Distance between Gas Station and House

We use the Distance formula to find the distance between two points $(x_1,y_1)\:and\:(x_2,y_2)$

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

From given points and formula,

$Distance\:between\:house\:and\:gas\:station=\sqrt{(10-4)^2+(8-3)^2}$

= $\sqrt{(6)^2+(5)^2}$

= $\sqrt{36+25}$

= $\sqrt{61}$ units

Since, 1 unit = 1 mile

⇒ $\sqrt{61}\:unit=\sqrt{61}miles=7.81 miles$

Therefore, Distance between Gas Station and House = 7.81 miles.

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3 years ago

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Harman [31]

Answer:

The answer is 6,001,000,000 k

Step-by-step explanation:

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3 years ago

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The instruction booklet for a CD player says that the player uses about 0.2 kilowatt of electricity per hour. If electricity cos

slamgirl [31]

Hello!

ANSWER:

The boxes weigh 112.5 lb altogether.

EXPLANATION:

Each box weighs 7.5 lb. We want to find out how much 15 boxes would weigh.

Multiply the weight of each box (7.5 lb) by the amount of boxes (15):

7.5 × 15 = 112.5

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3 years ago

Which equation will have the same solution as 3 – 5(2x + 1) = 3(3 + x)?A.

Nonamiya [84]

The answer is C
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3 years ago