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drek231 [11]
3 years ago
15

Simplify:

frac{2}{3}) ^{4} }" alt="(8^{\frac{2}{3}) ^{4} }" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
5 0

{ \large{ \sf{ \implies{(8 {}^{ \frac{2}{3} }) {}^{4}  }}}}

{ \large{ \sf{ \implies( \sqrt[3]{8}  {}^{2} ) {}^{4} }}}

{ \large{ \sf{ \implies{{(2 {}^{2} ) {}^{4} }}}}}

{ \large{ \implies{ \sf{4 {}^{4} }}}}

{ \large{ \therefore{ \sf{256} \:  \: ans.}}}

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Solve for x on the interval 0≤x&lt;2pi<br><br> cos(3x)=1/2
Ede4ka [16]

We will see that the solution in the given interval is: x = 0.349 radians.

<h3>How to solve equations with the variable in the argument of a cosine?</h3>

We want to solve:

cos(3*x) = 1/2

Here we must use the inverse cosine function, Acos(x). Remember that:

cos(Acos(x)) = Acos(cos(x)) = x.

If we apply that in both sides, we get:

Acos( cos(3x) ) = Acos(1/2)

3*x = Acos(1/2)

x = Acos(1/2)/3 = 0.349

So x is equal to 0.349 radians, which belongs to the given interval.

If you want to learn more about trigonometry, you can read:

brainly.com/question/8120556

7 0
2 years ago
Which of the following tables does not represent a function? x y -5 1 -3 -2 -1 -5 x y -5 1 -5 -2 -5 -5 x y -1 1 -2 1 -3 1 x y -4
Karo-lina-s [1.5K]
The x’s must all be different. So if any x’s repeat it is not a function
7 0
4 years ago
Solving equations 10z+3z+5=2(z-3)
Nesterboy [21]

Answer: Use the PEMDAS rule

Step-by-step explanation: 0z+3z+5=2(z-3)=

z= -1

you need to do the z numbers all together and the normal numbers together then subtract them to get -1

I hope that I help you

5 0
3 years ago
g On any day, the probability of rain is 0.3. The occurrence of rain on any day is independent of the occurrence of rain on any
Ksju [112]

Answer:

0.249579

Step-by-step explanation:

P(rain) = 0.3

P(no rain) = 1 - 0.3 = 0.7

The event of rain falling a second time within the next 5 days is possible in these ways

1. Rain on days 1 and 2

2. Rain on days 1 and 3; none on day 2

3. Rain on days 1 and 4; none on days 2 and 3

4. Rain on days 1 and 5; none on days 2, 3 and 4

5. Rain on days 1 and 6; none on day 2, 3, 4 and 5

P(\text{second rain within 5 days}) = 0.3^2+0.3^2\times0.7+0.3^2\times0.7^2+0.3^2\times0.7^3+0.3^2\times0.7^4 = 0.3^2(1+0.7+0.7^2+0.7^3+0.7^4)= 0.09\times2.7731=0.249579

5 0
4 years ago
Solve the equation for x, in simplest form. x + 1 4 = 7 8 A) x = 3 8 Eliminate B) x = 5 8 C) x = 7 2 D) x = 9 2
statuscvo [17]

Answer:

5/8

Step-by-step explanation:

To write  

−

1

4

as a fraction with a common denominator, multiply by  

2

2

.

x

=

7

8

−

1

4

⋅

2

2

Write each expression with a common denominator of  

8

, by multiplying each by an appropriate factor of  

1

.

Tap for more steps...

x

=

7

8

−

2

8

Combine the numerators over the common denominator.

x

=

7

−

2

8

Subtract  

2

from  

7

.

x

=

5

8

6 0
4 years ago
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