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3 years ago

For what value of x does 64^3x = 512^2x+12

Mathematics

1 answer:

aleksandr82 [10.1K]3 years ago

3 0

Answer:

<h2>no solution</h2>

Step-by-step explanation:

$Use:\\\\(a^n)^m=a^{nm}\\--------------\\64=2^6\\512=2^9\\\\\text{therefore}\\\\64^{3x}=512^{2x+12}\\\\(2^6)^{3x}=(2^9)^{2x+12}\\\\2^{(6)(3x)}=2^{(9)(2x+12)}\iff6(3x)=9(2x+12)\\\\18x=9(2x+12)\qquad\text{divide both sides by 9}\\\\\dfrac{18x}{9}=\dfrac{9(2x+12)}{9}\\\\2x=2x+12\qquad\text{subtract 2x from both sides}\\2x-2x=2x-2x+12\\\\0=12\qquad\bold{FALSE}$

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A sport analyst wants to determine the mean salary of a Baseball player for 2015. He believes an estimate of this average salary

djyliett [7]

Answer:

The large sample size 'n' = 199.6569≅ 200

Step-by-step explanation:

Step(i):-

Given Standard deviation of salary for all baseball players for 2015 is about $5,478,384.55

Standard deviation of of salary for all baseball players for 2015

(S.D ) σ = $5,478,384.55

Given estimate of this average salary for all baseball players for 2015

= $497,000

Given Margin of error of error is = $497,000

Level of significance ∝ = 80%

The critical value Z₀.₂₀ = 1.282

Step(ii):-

Margin of error of error is determined by

$M.E = \frac{Z_{0.20} S.D}{\sqrt{n} }$

$497,000 = \frac{1.282 X 5,478,384.55}{\sqrt{n} }$

Cross multiplication , we get

$\sqrt{n} = \frac{1.282 X 5,478,384.55}{497,000 }$

On calculation , we get

√n = 14.13

Squaring on both sides, we get

n = 199.6569

Conclusion:-

The large sample size 'n' = 199.6569≅ 200

7 0

3 years ago

Distance (feet)

Advocard [28]

The area of a 2D form is the amount of space within its perimeter. The area of the garden is 72 feet² and the perimeter of the garden is 36 feet.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The diagram for the given garden is given below.

1.) The area of the garden is,

The area of the garden = Area of rectangle + Area of triangle

= (6 x 8) + (0.5 x 6 x 8)

= 48 + 24

= 72 feet²

2.) The perimeter of the garden is,

The perimeter of the triangle = 12 + 8 + 6 + 10 = 36 feet

Hence, the area of the garden is 72 feet² and the perimeter of the garden is 36 feet.

Learn more about the Area:

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1 year ago

Timy found 4 quarters, 8 dimes, 2 nickels, ando 9 pennies under the couch cushions. How mu have money did he find?

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The amount of money found under the couch cushion is $1.99

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3 years ago

Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We usually consider depreciatio

Alik [6]

Answer:The value of the bulldozer after 3 years is $121950

Step-by-step explanation:

We would apply the straight line depreciation method. In this method, the value of the asset(bulldozer) is reduced linearly over its useful life until it reaches its salvage value. The formula is expressed as

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From the given information,

Useful life = 23 years

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Therefore

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The value of the bulldozer after 3 years would be

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3 years ago

Josie bought a new mirror. The mirror has 5 sides. What is the shape of the mirror?

yuradex [85]

If Josie bought a mirror with 5 sides it would be a pentagon

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2 years ago

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