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myrzilka [38]
2 years ago
13

Simplify 4 to the 2nd power • 4 to the 8th power

Mathematics
2 answers:
andriy [413]2 years ago
6 0
4^2 • 4^8

or

4 • 4 • 4 • 4 • 4 • 4 • 4 • 4 • 4 • 4

answer: 1,048,576
Naddika [18.5K]2 years ago
6 0

Answer:

4 squared = 16. 4^8 = 65,536. 16 x 65,536 = 1,048,576. hope this helps

Step-by-step explanation:

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An electrical shop reduces display goods by 20%. A display TV is sold for £200. What is the usual price of the same TV?
Fynjy0 [20]
200 is 80%
200 / 80 = 2.50 (1%)
2.50 * 100 = £250

Hope this helps.
8 0
2 years ago
Find the points on the cone z2 = x2 + y2 that are closest to the point (6, 2, 0).
aliya0001 [1]

Answer:

The closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

Step-by-step explanation:

Let B(x, y, z) denote a point on the cone.

Therefore, the distance between the points (6, 2, 0) and B(x, y, z) is;

d = √[(x - 6)² + (y - 2)² + (z - 0)²]

d = √[(x - 6)² + (y - 2)² + z²]

Since we are given that z² = x² + y², we now have;

d = √[(x - 6)² + (y - 2)² + x² + y²]

Taking the square of both sides gives;

d² = [(x - 6)² + (y - 2)² + x² + y²]

x² is an increasing function. Thus, minimizing d is also the same as to minimize f (x, y) = d²

Thus, f' = 0. So;

df/dx = 2(x - 6) + 2x = 0

2x - 12 + 2x = 0

4x = 12

x = 12/4

x = 3

Similarly,

df/dy = 2(y - 2) + 2y = 0

2y - 4 + 2y = 0

4y - 4 = 0

4y = 4

y = 4/4

y = 1

Now,from earlier;

z² = x² + y²

Thus;

z = ±√(3² + 1²)

z = ±√10

Thus, the closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

7 0
3 years ago
Deprina buys a large cup of coffee for $4.70 on her way to work everyday. If there are 24 workdays in the month, how much does D
Allisa [31]
She will spend 112.8
24 times 4.70 equals 112.8
8 0
3 years ago
The table shows the total distance that Myra runs over different time periods.
Oliga [24]

Answer:

its d

Step-by-step explanation:

4 0
3 years ago
write the metric of length that you would use to measure each of the following. distance from home to school
Rufina [12.5K]
Miles is the answer.
6 0
3 years ago
Read 2 more answers
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