All categories

3 years ago

Help me with this pleasesimplify

Mathematics

2 answers:

Elena L [17]3 years ago

6 0

Answer:

$3^{12}$

Step-by-step explanation:

$\frac{(3^5)^2}{3^{-2}} \\=\frac{3^{(5*2)}}{3^{-2}} \\=\frac{3^{10}}{3^{-2}} \\=3^{(10-(-2)}\\=3^{(10+2)}\\=3^{12}$

anyanavicka [17]3 years ago

4 0

Answer:

$3^{12}$

Step-by-step explanation:

$\dfrac{(3^5)^2}{3^{-2}} =$

$= \dfrac{3^{10}}{3^{-2}}$

$= 3^{10-(-2)}$

$= 3^{10 + 2}$

$= 3^{12}$

You might be interested in

Which of the following statement(s) describes the rate of change of f over the interval 1.5 ≤ x ≤ 3? Select all that apply.

Vesnalui [34]

2 Answers: Choice B and Choice C

The rate of change is 2.

The rate of change is constant.

======================================================

Explanation:

The first point on the left is when x = 1.5 and it has a height of y = 1

The point (1.5, 1) is on the line.

So is the point (3,4) for similar reasoning.

Compute the slope between those points

m = (y2-y1)/(x2-x1)

m = (4-1)/(3-1.5)

m = 3/(1.5)

m = 2

The slope is 2, which is the same as saying the rate of change is 2. This only applies when x > 1 of which the interval 1.5 ≤ x ≤ 3 is a part of.

Since the slope stays at 2 on the interval 1.5 ≤ x ≤ 3, this means we consider the slope to be constant. If the curve bended at all on this interval, then it wouldn't be a constant slope.

6 0

2 years ago

The sum of two numbers is 100. The different between them is 56. What is the larger number?

m_a_m_a [10]

<h2>Answer:-</h2>

$\pink{\bigstar}$ The larger number is $\large\leadsto\boxed{\tt\purple{78}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3>• Given:-</h3>

Sum of two numbers is 100.

Difference between the numbers is 56.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

The larger number = ?

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

<h3>• Solution:-</h3>

Let the two numbers be 'x' and 'y' respectively.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

According to the question:-

✯ Sum of two numbers is 100.

➪ $\sf x + y = 100 \dashrightarrow\bold\red{[equation \: 1]}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Also,

✯ Difference between the numbers is 56.

➪ $\sf x - y = 100 \dashrightarrow\bold\red{[equation \: 2]}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Adding equation [1] and equation [2]:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf (x + y) + (x - y) = 100 + 56$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf x + y + x - y = 156$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf 2x = 156$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf x = \dfrac{156}{2}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

★ $\large{\bold\red{x = 78}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

• Substituting the value of x in equation [1]:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf x + y = 100$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf 78 + y = 100$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf y = 100 - 78$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

★ $\large{\bold\red{y = 22}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, the numbers are 78 and 22.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

The larger number is 78.

3 0

3 years ago

What is 6.8 times 10 to the power of -3 in standard notation?

Studentka2010 [4]

$6.8 \times 10^{-3} =$

$= 6.8 \times \dfrac{1}{1000}$

$= 6.8 \times 0.001$

$= 0.0068$

3 0

4 years ago

In the figure, angle E measures 30°, angle F measures 57°, and angle B measures 27°. What is the measurement of angle A?

larisa86 [58]

The sum of the measures of the interior angles of a triangle is 180. We have measures of 57, 30, and 27. We need to find the missing angle.
180 - (30 + 27 + 57) = 66

5 0

3 years ago

Read 2 more answers

the sum of three numbers is 116. The first number is 6 more than the third. The second number is 3 times the third. What are the

Zigmanuir [339]

Answer:

107

Step-by-step explanation:

sum means addition so 3 + 6 = 9 116 - 9 = 107 hope it helps <3

7 0

3 years ago

Help me with this pleasesimplify​

Help me with this pleasesimplify