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Agata [3.3K]
3 years ago
13

Find all the powers of 4 in the range 4 through 1000

Mathematics
1 answer:
Greeley [361]3 years ago
6 0

4 raised to power 1 = 4¹ = 4

4 raised to power 2 = 4² = 16

4 raised to power 3 = 4³ = 64

4 raised to power 4 = 4⁴ = 256

4 raised to power 2 = 4⁵ = 1024.  This is outside the range, so it is excluded.

All the powers are 4, 16, 64 and 256
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N- 0.125= 4.1 what is N?
guajiro [1.7K]
Well, lets add 0.125 to 4.1.

We would get 4.225.

Finally we can check.

4.225-0.125= 4.1

How did we get it? What i did is I did the opposite. Instead of subtracting 0.125 I added it.

N= 4.225
4 0
3 years ago
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Ashley use 3 yards of ribbon to wrap these presents how many feet and rub it did actually how many inches did she​
Alchen [17]

Answer:

108 inches

Step-by-step explanation:

one yard = 36 inches

multiply 36 by 3

4 0
3 years ago
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Data from the Centers for Medicare and Medicaid Services indicates that the annual per capita out-of-pocket expenses for health
Talja [164]

Answer:

During the year 2021.

Step-by-step explanation:

As we have a function that defines the annual per capita out-of-pocket expenses for health care, we can work with it.

Knowing that, <u>we clear x</u> (<em>this is the number of years past the year 2000, so it will contain our desired information</em>).

y=39.6x+543\Leftrightarrow x=\frac{y-543}{39.6}

Now, as we want to know when are the per capita out-of-pocket expenses for health care predicted to be $1400, and <em>this total is our variable y</em>, then

x=\frac{1400-543}{39.6}\approx 21.6

Finally, we know that <u>x is the number of years past the year 2000</u>, so the answer is that during the year 2021, <em>the per capita out-of-pocket expenses for health care are predicted to be $1400</em>.

3 0
3 years ago
Sid goes to the store and buys a shirt for $65. The store has sales tax rate of 5.4%. How much tax will Sid have to pay?
mojhsa [17]

Answer:

$3.51

Step-by-step explanation:

We change 5.4% into a decimal which is .054, we then multiply 65 by .054

$65  x  .054 = $3.51

3 0
3 years ago
Which represents the inverse of the function f(x) = 4x? h(x) = x + 4 h(x) = x – 4 h(x) = three-quartersx h(x) = one-quarterx
aalyn [17]

Answer:

\large\boxed{f^{-1}(x)=h(x)=\dfrac{1}{4}x}

Step-by-step explanation:

f(x)=4x\to y=4x\\\\\text{exchange}\ x\ \text{to}\ y\to x=4y\\\\\text{solve for}\ y:\\\\4y=x\qquad\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{x}{4}\\\\y=\dfrac{1}{4}x

8 0
3 years ago
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