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2 years ago

Simplify (ignore my garbage camera quality ....)

Mathematics

2 answers:

AlexFokin [52]2 years ago

6 0

Answer:

The correct answer is option C

Step-by-step explanation:

Points to remember

Identities

(xᵃ)ᵇ = xᵃᵇ

(x¹/ᵃ)ᵇ = xᵃ/ᵇ

To find the correct answer

It is given that, (3¹/⁷)⁷

By using above identities we can write,

(3¹/⁷)⁷ = 3⁽¹/⁷ *⁷⁾

= 3¹

= 3

Therefore the simplified form of (3¹/⁷)⁷ = 3

The correct answer is option C

(3¹/⁷)⁷ = 3

monitta2 years ago

5 0

Answer:

C. 3

Step-by-step explanation:

Given expression is:

$({3^{\frac{1}{7}})^7$

We know that the rules of exponents are used to solve these kind of questions.

When there is exponent on exponent like in this question 1/7 has an exponent of 7 , the exponents are multiplied.

So,

$=3^{(7*\frac{1}{7} )}$

The 7's will be cancelled out and remaining power will be 1

$=3^1\\=3$

Hence, option C is correct ..

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How much do you save per class by taking the longer-term class: Weight Training, $200 for 18 weeks (54 classes) or $350 for 36 w

Vsevolod [243]

Shorter term class:

You pay $200 for 54 classes in total. So,

$\frac{200}{54} =3.704$ dollars per class (rounded to 3 decimal places)

Longer term class:

You pay $350 for 108 classes in total, So,

$\frac{350}{108} =3.241$ dollars per class (rounded to 3 decimal places)

Hence, by taking longer term classes, you save around $3.704-3.241=0.463$ dollars.

Rounding to 2 decimal places, you save $0.46 per class.

ANSWER: You save $0.46 per class.

5 0

3 years ago

Read 2 more answers

How do I solve this?

Sonbull [250]

The question is somewhat poorly posed because the equation doesn't involve θ at all. I assume the author meant to use x.

sec(x) = csc(x)

By definition of secant and cosecant,

1/cos(x) = 1/sin(x)

Multiply both sides by sin(x) :

sin(x)/cos(x) = sin(x)/sin(x)

As long as sin(x) ≠ 0, this reduces to

sin(x)/cos(x) = 1

By definition of tangent,

tan(x) = 1

Solve for x :

x = arctan(1) + nπ

x = π/4 + nπ

(where n is any integer)

In the interval 0 ≤ x ≤ 2π, you get 2 solutions when n = 0 and n = 1 of

x = π/4 or x = 5π/4

5 0

1 year ago

What is the value of x if x over 5=3

Zolol [24]

Answer:

x = 15

Step-by-step explanation:

the easiest way to do this is 5 times 3 and with that we get 15 :)

Have an amazing day!!

Please rate and mark brainliest!!

3 0

1 year ago

Read 2 more answers

2. For a particular model of a car, a dealer offers 3 sizes of engines, 2 types of stereos, 18 body

Gnesinka [82]

The given details follow the product rule. The different model of the car available are 756.

Given that:

$Engines = 3$

$Stereos = 2$

$Body=18$

$Color = 7$

The different possibility is calculated using the following product rule:

$Total =Engines \times Stereos \times Body \times Color$

So, we have:

$Total = 3\times 2\times 18 \times 7$

$Total = 756$

Hence, there are 756 different models available.