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3 years ago

If log 2 = a and log 5 b then log 32/125

Mathematics

1 answer:

sveta [45]3 years ago

4 0

Answer:

log(32/125)

=log32 - log125 [log(x/y)=log(x) - log(y)]

=log(2)^2 - log(5)^3

=2log2-3log5 [log(x)^p=p log x]

=2a-3b

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URGENT PLEASE HELP 45 POINTS! Complete this activity. Given: f(x) = x + 2 <br><br> [f(x)] 2 =

ivanzaharov [21]

We are told that f(x) = x + 2. We want to find $(f(x))^{2}$ .

Squaring f(x) on one side means we square x + 2 on the other.

So,

f(x) = x + 2

(f(x))² = (x + 2)²

= (x + 2)(x + 2)

We can use FOIL to square x + 2. The first terms multiply to x², the outside terms to 2x, the inside terms to 2x and the last terms to 4.

= x² + 2x + 2x + 4

= x² + 4x + 4

So [f(x)]² = x² + 4x + 4

3 0

3 years ago

Find the perimeter of the following triangle.

pashok25 [27]

Hello!

To find the perimeter of the triangle, we need to find the length of all the sides using the <u>distance formula</u>.

The distance formula is: $d =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ .

First, we can find the distance between the points (-3, -1) and (2, -1). The point (-3, -1) can be assigned to $(x_{1},y_{1})$ , and (2, -1) is assigned to $(x_{2},y_{2})$ . Then, substitute the values into the formula.

$d =\sqrt{(2 - (-3))^{2}+ (-1 - (-1))^{2}}$

$d =\sqrt{5^{2}+0^{2}}$

$d =\sqrt{25} = 5$

The distance between the points (-3, -1) and (2, -1) is 5 units.

Secondly, we need to find the distance between the points (2, 3) and (2, -1). Assign those points to $(x_{1},y_{1})$ and $(x_{2},y_{2})$ , then substitute it into the formula.

$d =\sqrt{(2 - 2)^{2}+ (-1 - 3)^{2}}$

$d =\sqrt{0^{2}+(-4)^{2}}$

$d =\sqrt{16} = 4$

The distance between the two points (2, 3) and (2, -1) is 4 units.

Finally, we use the distance formula again to find the distance between the points (-3, -1) and (2, 3). Remember the assign the ordered pairs to $(x_{1},y_{1})$ and $(x_{2},y_{2})$ and substitute!

$d =\sqrt{(2 -(-3))^{2}+ (3 - (-1))^{2}}$

$d =\sqrt{5^{2}+4^{2}}$

$d =\sqrt{25 + 16}$

$d =\sqrt{41}$ This is equal to approximately 6.40 units.

The last step is to find the perimeter. To find the perimeter, add of the three sides of the triangle together.

P = 5 units + 4 units + 6.4 units

P = 15.4 units

Therefore, the perimeter of this triangle is choice A, 15.4.

6 0

3 years ago

The USA Today reports that the average expenditure on Valentine's Day is $100.89. Do male and female consumers differ in the amo

sergeinik [125]

Answer: $ 67.03

Step-by-step explanation:

Given : The average expenditure in a sample survey of 50 male consumers was $135.67, and the average expenditure in a sample survey of 38 female consumers was $68.64.

i.e. $\overline{x}_1=\$135.67\ \ \&\ \ \overline{x}_2=\$68.64$

The best point estimate of the difference between the two population means is given by :-

$\overline{x}_1-\overline{x}_2\\\\=135.67-68.64=67.03$

Hence, the point estimate of the difference between the population mean expenditure for males and the population mean expenditure for females : $ 67.03

7 0

3 years ago

Find the slope of the line through points

gayaneshka [121]

Answer:

The answer is

$\huge \frac{1}{9} \\$

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

$m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\$

From the question we have

$m = \frac{3 - 2}{1 - - 8} = \frac{1}{1 + 8} = \frac{1}{9} \\$

We have the final answer as

$\frac{1}{9} \\$

Hope this helps you

8 0

3 years ago

SOMEONE PLEASE HELP ME!!!!!!!!!!!!!!!111

Naddika [18.5K]

it's should be 220 because your starting point is at 70 then add 15 for 10 weeks which means you have to add 15*10 or 150 to 70 which will give you 220

4 0

3 years ago