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2 years ago

Explain the error in the work shown. Find the

Mathematics

2 answers:

weeeeeb [17]2 years ago

3 0

Answer:

$a = - \frac{3}{4}$

Step-by-step explanation:

The correct solution of the given equation is as follows :

We have,

$\frac{1}{64} = 16^{2a}$

⇒ $4^{- 3} = (2^{4} )^{2a}$

⇒ $2^{(2 \times (-3))} = 2^{8a}$

⇒ $2^{- 6} = 2^{8a}$

Comparing the power of equal base, we get

- 6 = 8a

⇒ $a = - \frac{6}{8}$

⇒ $a = - \frac{3}{4}$

Therefore, before equating the powers of two terms the base of the terms should be equal and here this is the error. (Answer)

pentagon [3]2 years ago

3 0

Answer:

The bases were not the same when the exponents were set equal to each other.

16 should have been written as 4 squared.

The exponent on the right should be 4a instead of 8a.

The correct solution is a=-3/4

Step-by-step explanation:

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Convert to a percent 4.44 3/5

worty [1.4K]

Answer:

$\large\boxed{4.44=444\%,\ \dfrac{3}{5}=60\%}$

Step-by-step explanation:

$p\%=\dfrac{p}{100}\to p=p\cdot100\%\\\\\text{multiply a number by}\ 100\%\\\\4.44=4.44\cdot100\%=444\%\\\\\dfrac{3}{5}=\dfrac{3}{5}\cdot100\%=\dfrac{300}{5}\%=60\%$

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2 years ago

A plumbing contractor bid the rough-in work for a new three-story office building based an estimate of 850 hours of a journey

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2 years ago

4x+3 =23<br>2x - 10 = -32<br>- 4x + 1 = -27<br>6x - 2 = -20

Scrat [10]

Answer:

1)x = 5

2)× = -11

3)x = 7

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2 years ago

The surface areas of two similar solids are 312 ft2 and 1,198 ft2. The volume of the smaller solid is 239 ft3. What is the volum

marin [14]

Answer:

The volume of the larger solid is $1,798\ ft^{3}$

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar , then the ratio of its surface areas is equal to the scale factor squared

Let

z-------> the scale factor

x-------------> surface area larger solid

y-------------> surface area smaller solid

$z^{2} =\frac{x}{y}$

substitute

$z^{2} =\frac{1,198}{312}$

$z=\sqrt{\frac{1,198}{312}}$ ----> scale factor

step 2

Find the volume of the larger solid

we know that

If two figures are similar , then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-------> the scale factor

x-------------> volume of the larger solid

y-------------> volume of the smaller solid

$z^{3}=\frac{x}{y}$

we have

$z=\sqrt{\frac{1,198}{312}}$

$y=239\ ft^{3}$

substitute the values

$(\sqrt{\frac{1,198}{312}}^{3})=\frac{x}{239}$

$x=239*(\sqrt{\frac{1,198}{312}}^{3})=1,798\ ft^{3}$

5 0

2 years ago

Read 2 more answers

Multiple 7/9 to the sum of 8 3/7 and 5 11/14

Brums [2.3K]

$\frac{7}{9} \times (8 \frac{3}{7} + 5 \frac{11}{14}) = \\$

$\frac{7}{9} \times (8 \frac{6}{14} + 5 \frac{11}{14} ) = \\$

$\frac{7}{9} \times (13 \frac{6 + 11}{14}) = \\$

$\frac{7}{9} \times (13 \frac{17}{14}) = \\$

$\frac{7}{9} \times (14 \frac{3}{14}) = \\$

$\frac{7}{9} \times ( \frac{14 \times 3 + 3}{14}) = \\$

$\frac{7}{9} \times ( \frac{42 + 3}{14}) = \\$

$\frac{7}{9} \times ( \frac{45}{14}) = \frac{7 \times 45}{9 \times 14} = \frac{5}{2} \\$

_________________________________

And we're done.

Thanks for watching buddy good luck.

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4 0

2 years ago

Read 2 more answers