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WITCHER [35]
3 years ago
7

Find the solution for the following equation: log4(x + 7) = 5? How do I solve this?​

Mathematics
1 answer:
yanalaym [24]3 years ago
7 0

Answer:

x = 1017

Step-by-step explanation:

Rewrite the number 5 as a logarithm of base 4.

\log_{4}\left(x+7\right)= log_{4}  (1024)

For two logarithms of the same base to be equal, their arguments must be equal. In other words, if \log(a)=\log(b) then a must equal b.

x + 7 =1024\\x = 1024 - 7\\x = 1017

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The diameter of a large sphere is 4 times the diameter of a small sphere. The surface area of the large sphere is how many times
Sever21 [200]
Surface Area of a Sphere = 4π(d/2)²
Let the smaller sphere's diameter be just a sample of 4 units in diameter and let the large spheres diameter be 4 times that of the smaller sphere.

Small Sphere: 4π(4/2)² = 16π units²
Large Sphere: 4π(16/2)² = 256π units²

256π / 16π = 16 times

The large sphere has a surface area 16 times that of the smaller one.
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3 years ago
How can I solve this ?
Nostrana [21]
Multiply 2,500 by 1.50 which is B.
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3 years ago
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s2008m [1.1K]

Answer:

1.  Identify the problem: Packaging boxes use too much material and create waste

2. What are the equations for the volume and surface area of a cube and rectangular prism?

Volume of a cube: Vcube = L x L x L = L3

Surface area of a cube: SAcube = 6 x (L x L) = 6L2

Volume of a rectangular prism: VRP = L x W x H = LWH

Surface area of a rectangular prism: SARP = 2 x (L x W) + 2 x (L x H) + 2 x (W x H) = 2(LW + LH + WH)

3. What is the difference in surface area of the packages below? (Note that they have the same volume.)

SAcube = 6L2

= 6 (20 cm)2

= 2,400 cm2

SARP = 2(LW + LH + WH) = 2 (20cm x 10cm + 20cm x 40cm + 10cm x 40cm) = 2,800 cm2

SARP – SAcube = 2,800 cm2

– 2,400cm2

= 400 cm

Step-by-step explanation:

everything in bold is the answer

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3 years ago
HELP ME BEFORE I DIE!
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Answer:

0.6 or \frac{3}{5}

Step-by-step explanation:

Using the Pythagorean theorem (a^{2} +b^{2} =c^{2}) we get that the hypotenuse is 5.

so the cos V is adjacent over the hypotenuse. so if adjacent is 3 and hypotenuse is 5, the answer is \frac{3}{5} which equals 0.6 in decimal form.

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3 years ago
Each month at Sea Stars, the
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Answer:

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Step-by-step explanation:

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