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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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Rose bought a bag of potatoes for $6.00 and some granola bars for $5.25 per package. Her total bill was $74.25. How many package
neonofarm [45]

Answer:

Rose bought 14 packages of granola bars.

Step-by-step explanation:

Total bill = 1 bag of potatoes + x amount of packages of granola bars

Total bill = $74.25

1 bag of potatoes = $6.00

1 package of granola bar = 5.25

We set the equation to:

74.25 = 6.00 + 5.25x

Subtract 6.00 from both sides:

68.25 = 5.25x

Divide both sides by 5.25 to leave x by itself

68.25/5.25 = 5.25x/5.25

13 = x

This means Rose bought 13 packages of granola bars.

Let's recheck our work by inputting x = 13 into the equation:

74.25 = 6.00 + 5.25(13)

74.25 = 6.00 + 68.25

74.25 = 74.25

7 0
2 years ago
PLS Help me! This graph shows the outside temperature (in degrees Celsius) over the course of 12 hours, starting at midnight (x
viktelen [127]

Answer:

The domain is the set of all possible x-values

  • Domain is the time here

The range is the resulting y-values

  • The range is the outside temperature is here
  • Function is decreasing between x= 0 to 3
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5 0
3 years ago
F(2/9) if f(x)=3x+1/3
Harman [31]

Answer:

1

Step-by-step explanation:

4 0
3 years ago
Consider the polynomial function g(x)=x³-3x²+6x+8. Divide g by x+1.
irina [24]

Answer:

Quotient ( x² -4x +10)

Reminder -2

Step-by-step explanation:

We have to consider the polynomial function g(x) = x³ - 3x² + 6x + 8

Now, we have to divide g(x) by (x+1)

Let us arrange the terms of g(x) to get (x+1) as common.

x³ - 3x² + 6x + 8

= x³ +x² -4x² -4x +10x +10 -2

= x² (x +1) -4x (x +1) +10 (x +1) -2

= (x +1)( x² -4x +10) -2

Hence, if we divide g(x) by (x +1) then the quotient will be ( x² -4x +10) and the reminder will be -2. (Answer)

3 0
3 years ago
Alfred buys a car for £15225 which depreciates in value at a rate of 0.25% per year.
GaryK [48]

Answer:

14,590

Step-by-step explanation:

3 0
3 years ago
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