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Serggg [28]
3 years ago
14

Stop spamming links. Please just let me ask questions and get answers. I can’t find the answers anywhere else and don’t know how

to do it. I’m serious. Does anyone know #4 and #5?

Mathematics
1 answer:
tiny-mole [99]3 years ago
6 0
I think #4 is variable rate of change and #5 is D.
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Applying properties of Exponents In Exercise, use the properties of exponents to simplify the expression.
eimsori [14]

Answer:

(a) 5^{8}

(b) 3

(c) 27

(d) \dfrac{1}{6}  

Step-by-step explanation:

We need simplify the given expressions.

(a)

Consider the given expression is

(5^4)(25^2)

(5^4)((5^2)^2)

Using the properties of exponents we get

(5^4)(5^4)           [\because (a^m)^n=a^{mn}]

5^{4+4}                  [\because a^ma^n=a^{m+n}]

5^{8}

(b)

Consider the given expression is

(9^{\frac{1}{3}})(3^{\frac{1}{3}})

((3^2)^{\frac{1}{3}})(3^{\frac{1}{3}})

Using the properties of exponents we get

(3^{\frac{2}{3}})(3^{\frac{1}{3}})           [\because (a^m)^n=a^{mn}]

3^{\frac{2}{3}+\frac{1}{3}}                 [\because a^ma^n=a^{m+n}]

3^{1}

3

(c)

Consider the given expression is

(\dfrac{1}{3})^{-3}

Using the properties of exponents we get

(\dfrac{3}{1})^{3}         [\because a^{-n}=\dfrac{1}{a^n}]

3^{3}

27

(d)

Consider the given expression is

(6^4)(6^{-5})

Using the properties of exponents we get

6^{4+(-5)}                  [\because a^ma^n=a^{m+n}]

6^{-1}

\dfrac{1}{6^{1}}         [\because a^{-n}=\dfrac{1}{a^n}]

\dfrac{1}{6}  

6 0
3 years ago
How can you use an equilateral triangle to find the lengths of the sides in a 30-60-90 triangle?
irina [24]

Answer:

Step-by-step explanation:

1) divide equilateral tri from the middle you will get two 30-60-90 triangles

2) by using pythagorean law & trigimintory, you will get two unknowns (height and side length) and two functions

3 0
3 years ago
HELP I NEED THIS NOW AND ITS OVERDUE!
Jlenok [28]

Answer:

big

Step-by-step explanation:

pp energy

8 0
3 years ago
Read 2 more answers
Forgot how to solve, i need help man..
Anna71 [15]

Answer:

3x + x + 100° = 180°

⇔ 4x = 80°

⇔ x = 20°

Step-by-step explanation:

5 0
3 years ago
Factor completely. 5x^2+44x-9
Leni [432]

Answer:

(x + 9)(5x - 1)

Step-by-step explanation:

Given

5x² + 44x - 9

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 5 × - 9 = - 45 and sum = + 44

The factors are + 45 and - 1

Use these factors to split the x- term

5x² + 45x - x - 9 ( factor the first/second and third/fourth terms )

= 5x(x + 9) - 1(x + 9) ← factor out (x + 9) from each term

= (x + 9)(5x - 1) ← in factored form

6 0
3 years ago
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