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MakcuM [25]
3 years ago
10

Dividing a power of 4 by 4 is equivalent to (dividing, increasing, reducing, multiplying) the exponent by (10, 2, 1, 4).

Mathematics
2 answers:
hram777 [196]3 years ago
5 0

Answer:

Reducing by 1

Step-by-step explanation:

4^x ÷ 4

4^(x - 1)

Lina20 [59]3 years ago
4 0

Answer:

Dividing a power of 4 by 4 is equivalent to ( reducing,) the exponent by (1).

Step-by-step explanation:

Let the power of 4 be 3

4 *4*4

We divide by 4

4*4*4/4 = 4*4 = 4^2

So we removed 1 power

Notice that 3-1 =2

Let 4 be raised to any power

4^a

We divide by 4

4^a/4  we remove 1 of the powers

we are left with

4^(a-1)

So we reduce the exponent by 1

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Step-by-step explanation:

4 bags of bananas for $22.52

=> 2 bags of bananas for $22.52 * 2/4 = $11.26.

Hence it would cost $11.26.

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A baseball coach order hats for his team. Each hat cost $10. The shipping charger is $6. The total cost of the order must be les
NeTakaya
The answer should be:

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A student ate 3/20 of all candies and another 1.2 lb. Another student ate 35 of the candies and the remaining 0.3 lb. Altogether
Ipatiy [6.2K]
The correct question is
<span>A student ate 3/20 of all candies and another 1.2 lb. Another student ate 3/5 of the candies and the remaining 0.3 lb. Altogether, what weight of candies did they eat?</span>

let
x-------> total <span>weight of candies
we know that

x=(3/20)*x+1.2+(3/5)*x+0.3
</span>x=(3/20)*x+(3/5)*x+1.5----> multiply by 20----> 20x=3x+12x+30
20x=15x+30
20x-15x=30
5x=30
x=6 lb

the answer is
6 lb
8 0
2 years ago
<img src="https://tex.z-dn.net/?f=%28%20%5Csin%5E%7B2%7D%20%28%20%5Cfrac%7B%5Cpi%7D%7B%204%20%7D%20%20-%20%20%5Calpha%20%29%20%2
guapka [62]

Step-by-step explanation:

\sin^2 (\frac{\pi}{4} - \alpha) = \frac{1}{2}(1 - \sin 2\alpha)

Use the identity

\sin^2 \theta = \dfrac{1 - \cos 2\theta}{2}

on the left side.

\dfrac{1 - \cos [2(\frac{\pi}{4} - \alpha)]}{2} = \frac{1}{2}(1 - \sin 2\alpha)

\dfrac{1 - \cos (\frac{\pi}{2} - 2\alpha)}{2} = \frac{1}{2}(1 - \sin 2\alpha)

Now use the identity

\sin \theta = \cos(\frac{\pi}{2} - \theta)

on the left side.

\dfrac{1 - \sin 2\alpha}{2} = \frac{1}{2}(1 - \sin 2\alpha)

\frac{1}{2}(1 - \sin 2\alpha) = \frac{1}{2}(1 - \sin 2\alpha)

4 0
2 years ago
Classify the system of equations and identify the number of solutions.
mestny [16]

Answer:

x = all real numbers

Step-by-step explanation:

first you need to solve the first equation to figure out what y is.

4x - y = 2

<em>add y to both sides of the equation</em>

4x = 2 + y

s<em>ubtract 2 from both sides of the equation</em>

4x - 2 = y

now that you know what y is, you can substitute it in the next equation.

3y = 12x - 6

3(4x - 2) = 12x - 6

<em>open the parenthesis </em>

12x - 6 = 12x - 6

<em>subtract 12x from both sides of the equation</em>

-6 = -6

regardless of what x is, -6 will always equal -6.

so, the answer is all real numbers.

6 0
3 years ago
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