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Nina [5.8K]
3 years ago
8

What is the 100th term in the following arithmetic number pattern: 2, 7, 12

Mathematics
1 answer:
vivado [14]3 years ago
7 0
First term (a) = 2
common difference (d) = 12- 7= 5
number of terms = 100
the Formula used is
a + (n - 1)d \\
2 + (100 - 1) * 5
2 + (99*5)
2 + 495
497
please mark as brainliest
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The volume of a cube is given by , where s is the side length of the cube. What is the difference of the volumes of two cubes wi
zysi [14]

Answer:

61 cubic meters

Step-by-step explanation:

1) Find the volume of the cube where s=4

1a) V= s*s*s

1b) Insert in side length

V=4*4*4

1c) solve

V=64 cubic meters

2) Find volume of 2nd cube by repeating same steps where s=5

2a) V=125 cubic meters

3) Subtract to find difference

3a) 125-64

3b) Solve: 61 cubic meters

5 0
4 years ago
Read 2 more answers
The function f(x) = x2. The graph of g(x) is f(x) translated to the right 3 units and down 3 units. What is the function rule fo
Kaylis [27]

The rule for g(x) is: f(x) = (x-3)^2-3

Step-by-step explanation:

Given function is:

f(x) = x^2

When a function f(x) is shifted right or left, b units the new function is written as:

f(x) = x

Shifting right

g(x) = f(x-b)

Shifting left

g(x) = f(x+b)

Similarly, when shifting up or down

g(x) = f(x)+b => Up\\g(x) = f(x) - b => Down

As our given function is shifted 3 units to the right, it will be written as:

f(x) = (x-3)^2

The function is when moved down 3 units, then

f(x) = (x-3)^2-3

Hence

The rule for g(x) is: f(x) = (x-3)^2-3

Keywords: Function transformation, Functions

Learn more about functions at:

  • brainly.com/question/10364988
  • brainly.com/question/10435816

#LearnwithBrainly

5 0
4 years ago
Which of the following represents the area of a rectangle whose length is 3x + 5 and whose width is x − 2?
Vladimir [108]

Answer:

3x^2 - x - 10

Step-by-step explanation:

Times the two together and you get

3x^2 + (-6x) + 5x + (-10)

Sum these up for your answer

3 0
3 years ago
What is the expression in factored form?
DerKrebs [107]
X^2+14x+48 
<span>=x^2+(6+8)x+48 </span>
<span>=x^2+6x+8x+48 </span>
<span>x(x+6)+8(x+6) </span>
<span>(x+6)(x+8) [Ans]
the answer is D</span>
5 0
3 years ago
What is 55 1/5 - 32 3/4
garik1379 [7]

Answer:

449/20 or 22 9/20

Step-by-step explanation:

Change them to mixed numbers.

55 x 5 = 275 + 1 = 276

32 x 4 = 128 + 3 = 131

Then, convert them to a common denominator.

276 x 4 = 1104

131 x 5 = 655

1104 - 655 = 449

449/20

4 0
3 years ago
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