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goldfiish [28.3K]
2 years ago
10

Solve For The Variable

Mathematics
2 answers:
yanalaym [24]2 years ago
8 0

Answer: V =  25

Step-by-step explanation:

5^ 7v / 5 = 5^35

7v=175

(7v/7)=(175 /7 )

v=25

Hopes this helps :)

sveta [45]2 years ago
6 0

Answer:

V=25

Step-by-step explanation:

Solve for

v

v

by simplifying both sides of the equation, then isolating the variable.

v

=

25

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Find the dimensions of an open rectangular box with a square base that holds 2000 cubic cm and is constructed with the least bui
Vesnalui [34]
<h3>The dimensions of the given rectangular box are:</h3><h3>L  =   15.874 cm  , B  =  15.874 cm   , H = 7.8937 cm</h3>

Step-by-step explanation:

Let us assume that the dimension of the square base = S x S

Let us assume the height of the rectangular base = H

So, the total area of the open rectangular box  

= Area of the base +  4 x ( Area of the adjacent faces)

=  S x S  +  4 ( S x H)   = S² +  4 SH   ..... (1)

Also, Area of the box  = S x S x H  =  S²H

⇒ S²H = 2000

\implies H = \frac{2000}{S^2}

Substituting the value of H in (1), we get:

A = S^2 + 4 SH =  S^2 + 4 S(\frac{2000}{S^2}) =  S^2 + (\frac{8000}{S})\\\implies A  =  S^2 + (\frac{8000}{S})

Now, to minimize the area put :

(\frac{dA}{dS} ) = 0 \implies 2S  - \frac{8000}{S^2}  = 0\\\implies S^3 = 4000\\\implies S  = 15.874 \approx 16 cm

Putting the value of S  = 15.874 cm in the value of H , we get:

\implies H = \frac{2000}{S^2}  =  \frac{2000}{(15.874)^2} = 7.8937 cm

Hence, the dimensions of the given rectangular box are:

L  =   15.874 cm

B  = 15.874 cm

H = 7.8937 cm

3 0
3 years ago
Match the following items by evaluating the expression for x = -2.
Sloan [31]

Answer:

1)  -4

2) -3

3) 1

4) -2

5) 4

Step-by-step explanation:

According to the information given in the exercise, the value of "x" is:

x = -2

Then:

1) You must substitute  x = -2 into the expresion x-2:

=(-2)-2

Now, you must evaluate:

=-4

2) You have to substitute the given value of "x" into the second expression:

x-1=(-2)-1

Finally, evaluating, you get the following result:

=-3

3) According to the Zero exponent Rule, any non-zero number with an exponent of zero is equal to 1.

Then, substituting x = -2 into the expression x^0 and then evaluating, you get:

x^0=(-2)^0=1

4) By definition:

 a^1=a

Then, substituting   x = -2 into x^1 and evaluating, you get:

x^1=(-2)^1=-2

5) Since:

 a^2=a*a

When you substitute the given value of "x" into the last expression and then  you evaluate, you get:

x^2=(-2)^2=(-2)(-2)=4

4 0
2 years ago
There is a group of 15 people ordering pizza. If each person gets 2 slices and each pizza has 15 slices. How many pizzas should
zubka84 [21]

Answer:

2 pizza's

Step-by-step explanation:

15x2=30

30 divided by 2 equals 15

6 0
2 years ago
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I need help please with this answer
Firlakuza [10]

320 cm! Hope I help!!!!!!!

8 0
3 years ago
Read 2 more answers
PLEASE HELP ME!!!!
bearhunter [10]

Answer:

1 ft

Step-by-step explanation:

1 yd ≈ 3 ft

88/3 = 29.333 = 29 1/3 yds

1/3 yd = 1 ft

8 0
2 years ago
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