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zheka24 [161]
4 years ago
5

Figure out this number pattern:1,5,14,30,55

Mathematics
1 answer:
Amanda [17]4 years ago
5 0

5 - 1 = 4 = 2^2

14 - 5 = 9 = 3^2

30 - 14 = 16 = 4^2

55 - 30 = 25 = 5^2

Start with 1, then add 2^2, 3^3, 4^2, 5^2, 6^2, etc.

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Nicholas says that (2^6)(2^6) equals 2^12, which also equals 4^6. is this true? PLEASE EXPLAIN
Umnica [9.8K]

When you multiply two numbers in exponential notation whose bases are the same, you just keep the base the same and add the exponents.

In this case, you have (2^6) * (2^6) = 2^(6 + 6) = 2^12.

We can change the base of 4^6 into 2:

(2^2)^6

Is this the same as 2^12? Well, when we have an expression like that above, we multiply the exponents together, so we get: (2^2)^6 = 2^12.

Therefore, Nicholas is correct.

5 0
3 years ago
Read 2 more answers
HELP!<br>What is the surface area of this shape?​
omeli [17]
Ok so we are gonna find the area or the rectangles on the object

Area of rectangle 1 = length x width
= 6 x 20
= 120 m square

Multiply the area of rectangle 1 by 2 because there are two same shaped rectangle.

120 x 2
=240 m square

Area of rectangle 2 = 30 x 6
= 180 m square

Multiply the area of rectangle 2 by 2 because there are two same shaped rectangle.

180 x 2
=360 m square

Area of rectangle 3 = 30 x 20
= 600 m square

Multiply the area of rectangle 3 by 2 because there are two same shaped rectangle.

600 x 2
=1200 m square

Then add all the area of the rectangles.

240 + 360 + 1200
= 1800 m square

Therefore the surface area is 1800 m square
7 0
3 years ago
<img src="https://tex.z-dn.net/?f=1%2F3%20%2812x%20-%2024%29%20%3D%2016" id="TexFormula1" title="1/3 (12x - 24) = 16" alt="1/3 (
coldgirl [10]
1/3(12x-24)=16

3/1[1/3(12x-24)=16]

12x-24=48
+24 +24
12x=72

12x/12=72/12

X=6
4 0
3 years ago
The table of values below represents a linear function and shows the amount of money in a tip jar at a dry cleaners since the dr
Hitman42 [59]

A linear equation has a standard form of:

y = mx + b

where in this case,

y = amount of money in tip jar, m = slope, x = number of hours, b = y intercept

 

We select any two paired data to calculate for the slope:

m = (y2 – y1) / (x2 – x1)

m = (18.25 – 15.50) / (5 – 4)

m = 2.75

 

y = 2.75x + b

 

Choosing any one data pair to calculate for b the y-intercept:

15.50 = 2.75 (4) + b

b = 4.5

 

Therefore there was $4.50 in the tip jar during the opening.

 

Answer: $4.50

7 0
4 years ago
Read 2 more answers
Find the side length of the right triangle missing a=6,b=?,c=10​
Makovka662 [10]
B=8. A^2+B^2=C^2. This means 6to the second power plus B to the second power equals10 to the second power. 36+b^2=100. B to the second power equals 64. Square root of 64 is 8, so B equals 8
3 0
3 years ago
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