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2 years ago

6

Simply.... plz someone give me the answer

1 answer:

ch4aika [34]2 years ago

7 0

Answer:

Y= 9xi/4 - 9i - 11

X= 4yi/9 - 4 + 44i/9

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(1/27)^x-6=27<br><br>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 log<u>b</u><u> </u>(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.

$x = 7$

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>.</u>

5 0

2 years ago

The workers in a senate office said that they received about 700 phone calls from voters last week. Which could be the number of

Nataly [62]

Answer:

see below

Step-by-step explanation:

Any number between 650 and 749, 650 and 749 are included as well

if number is 50 and above it goes up

8 0

3 years ago

A loan company charges $30 interest <br />for a one month loan of $500. Find the annual interest they are charging

xz_007 [3.2K]

Answer:

$360

Step-by-step explanation:

If the company charges $30 for $500 in one month.

The interest they will be changing for a year = 30*12 = $360 interest.

It's just simple, multipling the the interest value by 12 to get it's annual interest value.

4 0

3 years ago

In a two-digit number, the tens digit is 5 less than the units digit. The number itself is five more than three times the sum of

Luden [163]

Given:

In a two-digit number, the tens digit is 5 less than the units digit.

The number itself is five more than three times the sum of its digits.

To find:

The number.

Solution:

Let the two digit number is ab. So,

$ab=10a+b$

Tens digit is 5 less than the units digit.

$a=b-5$ ...(i)

The number itself is five more than three times the sum of its digits.

$10a+b=3(a+b)+5$

$10a+b=3a+3b+5$

$10a+b-3a-3b=5$

$7a-2b=5$ ...(ii)

Using (i) and (ii), we get

$7(b-5)-2b=5$

$7b-35-2b=5$

$5b=5+35$

$5b=40$

$b=8$

Putting b=8 in (i), we get

$a=8-5$

$a=3$

Therefore, the required number is 38.

5 0

2 years ago

Read 2 more answers

The area of the square is 100 square centimeters. What is the area of the circle?

swat32

Answer:

Since the question is incomplete, see the figure attached and the explanation below.

Explanation:

Since the figure is missing, I enclose the figure of a square inscribed in a circle.

Since the <em>area of a square</em> is the side length squared, you can determine the side length:

Area = (side length)²

100 cm² = (side lenght)²

$side\text{ }length=\sqrt{100cm^2}=10cm$

From the side length, you can find the diagonal of the square, which is equal to the diameter of the circle, using the Pythagorean theorem:

diagonal² = (10cm)² + (10cm)² = 2 × (10cm)²

$diagonal=\sqrt{2\times (10cm)^2}\\ \\ diagonal=10\sqrt{2} cm$

The area of the circle is π (radius)².

radius = diameter/2 = diagonal/2

$area= \pi \times (5\sqrt{2}cm)^2=50\pi cm^2$

6 0

2 years ago