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3 years ago

Hello! Please help me. Huhu

Mathematics

2 answers:

Amanda [17]3 years ago

3 0

Answer:

Can u show the whole question

lesantik [10]3 years ago

3 0

The median is 162 centimeters.

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Please Help!! If mc014-1.jpg, what is the value of c? **see attachment

Y_Kistochka [10]

This is the concept of algebra, we are required to solve the given expression;
32^(2c)=8^(c+7)
this can be written as:
2^[5(2c)]=2^[3(c+7)
applying the natural logs we shall get
[5(2c)]ln2=[3(c+7)]ln2
The ln 2 will cancel on from both sides and we shall have:
5(2c)=3(c+7)
10c=3c+21
To make c the subject we begin by subtracting 3c from both sides
10c-3c=3c+21-3c
7c=21
dividing both sides by 7 we get:
(7c)/7=21/7
c=3
The answer is c=3

7 0

3 years ago

The area of a playground is 20 square yards. The length of the playground is 5 times longer than its width. Find the length and

jok3333 [9.3K]

The answer is length = 10 yd, width = 2 yd
proof
The length of the playground is 5 times longer than its width, it means
l=5w, but 10= 2x5 so we can write l= 5w,
and Area = 20 =l x w = (5x2) x 2 =20

6 0

3 years ago

Solve the inequality for x 3^(6x+18)<27^(3x)

Lera25 [3.4K]

Answer:

$\displaystyle x > 6$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Factoring

Algebra II

Exponential Rule [Powering]: $\displaystyle (b^m)^n = b^{m \cdot n}$
Solving exponential equations

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle 3^{6x + 18} < 27^{3x}$

Step 2: Solve for x

Rewrite: $\displaystyle 3^{6x + 18} < 3^{3(3x)}$
Set: $\displaystyle 6x + 18 < 3(3x)$
Factor: $\displaystyle 3(2x + 6) < 3(3x)$
[Division Property of Equality] Divide 3 on both sides: $\displaystyle 2x + 6 < 3x$
[Subtraction Property of Equality] Subtract 3x on both sides: $\displaystyle -x + 6 < 0$
[Subtraction Property of Equality] Subtract 6 on both sides: $\displaystyle -x < -6$
[Division Property of Equality] Divide -1 on both sides: $\displaystyle x > 6$

8 0

3 years ago

Read 2 more answers

Rationalize <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%20%5Csqrt%7B7%7D%20%2B%203%20%5Csqrt%7B3%7D%20%20%7D%20"

Ivahew [28]

$\dfrac{1}{2 \sqrt{7} + 3 \sqrt{3} }$

$= \dfrac{1}{2 \sqrt{7} + 3 \sqrt{3} } \times \dfrac{2 \sqrt{7} - 3 \sqrt{3}}{2 \sqrt{7} - 3 \sqrt{3}}$

$=\dfrac{2 \sqrt{7} - 3 \sqrt{3}}{(2\sqrt{7})^2 - (3\sqrt{3})^2}$

$=\dfrac{2 \sqrt{7} - 3 \sqrt{3}}{28 - 27}$

$=\dfrac{2 \sqrt{7} - 3 \sqrt{3}}{1}$

$=2 \sqrt{7} - 3 \sqrt{3}$

6 0

3 years ago

Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form

Sidana [21]

Answer:

24√3

Step-by-step explanation:

(2 • 6)^(3/2) =

= 12^(3/2)

= √(12³)

= √1728

= √(2^6 • 3² • 3)

= 2³ • 3 • √3

= 24√3

7 0

3 years ago