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Sladkaya [172]
3 years ago
8

Suppose that z=6^500. Express the following in terms of z.

Mathematics
1 answer:
Studentka2010 [4]3 years ago
7 0

Answer:

1. z^2

2. 14z

Step-by-step explanation:

  • We know that (a^m)^n = a^(mn) = (a^n) ^m

We also know that (a^m)(a^n) = a^(m+n)

  1. 36 can be written as 6^2 and here 36^(500) can be written as (6^2)^500 which also can be written as (6^500)^2 and as already it is mentioned that 6^500 as z we can write the above as <u>z^2</u>

2. 8 x 6^500 = 8z

And we can also write 6^(501) as 6^(500+1) which is equivalent to 6(6^500) which is 6z.

From the above we can make sure that the question is the sum of the above which is 8z + 6z = <u>14z</u><u>.</u>

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1. Find the area of the following geometric figure.
S_A_V [24]

Answer:

1. Area of the triangle is 96m^2.

2. 2 gallons of paint will you need to cover 224 sq.ft

3.  Volume of the following solid(to the nearest tenth), is 580.1 cm^3.

4. The area cover is 242 sq. ft.

5. The sides of the triangle on the drawing should be 6, 8, and 9 inch

Step-by-step explanation:

1.

<u>Given:</u>

Base of the triangle(b) is 16 m

and altitude of the triangle(h) is 12 m.

To find the Area of the triangle(A), given by;

A=\frac{1}{2}\left (b\cdot h\right)

A=\frac{1}{2}\left (16\cdot 12\right)=8 \cdot 12=96 m^2

Therefore, the Area of the triangle is 96m^2.

2.

Given: You wish to paint a storage shed. Its four walls measure 7 ft. high and 8 ft. wide each.

First find the area(A) of one wall.

A=b\cdot h

where b is the width and h is the height of the wall.

A=8ft\cdot 7ft=56ft^2.

Now, area for four walls is,  4\cdot 56=224 ft^2

Since, one gallon of paint covers 160 sq. ft or we can say that 160 sq. ft cover in one gallon of paint.

for 224 sq ft cover in ,  \frac{224}{160} =1.4 gallon of paint

2 gallons of paint will you need to cover 224 sq.ft.

3.

Given: A rectangular solid has sides of 10.5 cm, 6.5 cm, and 8.5 cm

length (l)=10.5 cm

breadth(b)=6.5 cm

height(h)=8.5 cm

Volume of rectangular solid(V) is given by, V=lbh

v=10.5\cdot 6.5\cdot 8.5=580.125 cm^3

Therefore, the volume of the following solid(to the nearest tenth), is 580.1 cm^3.

4.

Given: You are laying an asphalt driveway. if the driveway is 22 feet long and 11 feet wide.

length(l)=22 ft

Wide(w)= 11 ft

Area cover (A) is given by,  A=lw

A=22\cdot 11=242 ft^2

Therefore, the area cover is 242 sq. ft.

5.

Given:  A triangle with sides 12 feet, 16 feet, and 18 feet on a drawing

Use:  1 inch = 2 feet.

Convert each sides of a triangle into inches.

12 feet

1 inch = 2 feet

12 feet = 6 inch

similarly, others sides 16 feet = 8 inch and 18 feet = 9 inch

Therefore, the sides of the triangle on the drawing should be 6 inch, 8 inch, and 9 inch



















3 0
3 years ago
Read 2 more answers
I want to know the answer to an increase of 1.6% of $1252.00
Morgarella [4.7K]
It’s easy!
Since you’re increasing 1.6% to $1252 you write the expression as:
=1252+1.6% of 1252
=1252+(1.6/100)*1252
=1252+0.016*1252
=1252+20.032
=1272.032
That’s your final answer
4 0
3 years ago
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Dovator [93]

Answer:

1.17-3.99a

Step-by-step explanation:

You can only combine like terms and 1.17 is not a like term to -0.07a and -3.92a

So you can only combine the like terms

4 0
4 years ago
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makvit [3.9K]
The base is 5 because when you divide 31.5 by 6.3 it's 5
4 0
3 years ago
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You roll a fair 6-sided die.what is P(roll a 2)?
Anton [14]

Answer:

it would be 1/6 there are a possible of 6 outcomes

Step-by-step explanation:

6 0
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