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3 years ago

Solve 10 -4(2.4 • 3.5)2 + 0.12

Mathematics

1 answer:

scZoUnD [109]3 years ago

6 0

10-4(2.4 • 3.5)2 + 0.12 = -57.08

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(1/27)^x-6=27 Could I please have a step by step as well? Much appreciated!

Andrei [34K]

Answer:

$x = 7$

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

$\frac{1}{ {27}^{x - 8} } = 27$

2) Multiply both sides by 27^x - 8.

$1 = {27} \times 27^{1 + x - 8}$

3) Use the product rule: x^a x^b = x^a+b.

$1 = {27}^{1 + x - 8}$

4) Simplify 1 + x - 8 to x - 7.

$1 = {27}^{x - 7}$

5) Use Definition of Common Logarithm: b^a = x if and only if logb (x) = a.

$log_{27}1 = x - 7$

6) Use Change of Base Rule.

$\frac{ log_1 }{ log{27} } = x - 7$

7) Use rule of 1: log 1 = 0.

$\frac{0}{ log_{27}} = x - 7$

8) Simplify 0/log_27 to 0.

$0 = x - 7$

9) Add 7 to both sides.

$7 = x$

10) Switch sides.

$x = 7$

Therefor, the answer is x = 7.

5 0

3 years ago

266.88 is closest to 280, 300, 2,800

xz_007 [3.2K]

280........................................

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3 years ago

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What is the length of the diagonal of a monitor that is 5 inches wide and 12 inches high

DerKrebs [107]

Answer:

so draw out a graph

Step-by-step explanation:

12-

11-

10-

[ [ [ [ [

1 2 3 4 5

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3 years ago

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What value of x satisfies the equation 7x+1=2.4 ?

yuradex [85]

5.6 because 7=1=8 so 8-2.4=5.6

hope this helped please leave a thank you

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3 years ago

Read 2 more answers

A triangle has side lengths of (7.8v+2.6)(7.8v+2.6) centimeters, (5.3v+4.5)(5.3v+4.5) centimeters, and (2.4w-6.7)(2.4w−6.7) cent

Citrus2011 [14]

Given:

A triangle has side lengths of (7.8v+2.6) centimeters, (5.3v+4.5) centimeters, and (2.4w-6.7) centimeters.

To find:

The expression which represents the perimeter, in centimeters, of the triangle.

Solution:

We know that

Perimeter of a triangle = Sum of length of all sides of the triangle

$Perimeter=(7.8v+2.6)+(5.3v+4.5)+(2.4w-6.7)$

Now, combine like terms.

$Perimeter=(7.8v+5.3v)+(2.4w)+(2.6+4.5-6.7)$

$Perimeter=13.1v+2.4w+0.4$

Therefore, the expression for perimeter, in centimeters, of the triangle is $13.1v+2.4w+0.4$ .

4 0

3 years ago