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Darina [25.2K]
3 years ago
10

3.

Mathematics
2 answers:
zheka24 [161]3 years ago
6 0

Answer:

20

Step-by-step explanation:

Sn = (n/2)(a1 + a1 + d(n-1)), where S = sum, a1 = first term, n = number of terms, d = common difference

 

400 = (n/2)(1 + 1 + 2(n - 1))

400 = (n/2)(2  + 2n - 2)

400 = (n/2)(2n

400 = n2

20 = n

 

Twenty numbers are in the set.

Lesechka [4]3 years ago
3 0

Answer:

Step-by-step explanation:

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Mark each! Of the following equations as true or false. Explain or showing your reasoning!
Airida [17]

Answer:

False

True

True

Step-by-step explanation:

Multiplying add exponents

Divide subtract exponents

Exponent multiply exponents

8 0
2 years ago
Explain how you can find the volume of the figure below. Then, solve- what is the volume of the figure? Make sure to include you
mote1985 [20]

Answer: a) The figure can be reasonably divided into two geometries:

• a rectangular prism

• a hemisphere.

b) The volume of the rectangular prism is given by

  V = lwh

  V = (10 cm)(5 cm)(4 cm) = 200 cm³

The volume of the hemisphere is given by

  V = (2π/3)r³

  V = (2π/3)(3 cm)³ = 18π cm³

c) The total volume of the figure is

  total volume = (prism volume) + (hemisphere volume)

  V = 200 cm³ + 18π cm³

  V ≈ 256.549 cm³

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Triangle A″B″C″ is formed by a reflection over x = −1 and dilation by a scale factor of 4 from the origin. Which equation shows
juin [17]

Answer:

\frac{AB}{A''B''}  = \frac{1}{4}

Step-by-step explanation:

Given the information:

  • A'B'C' reflection over x = −1
  • dilation by a scale factor of 4 from the origin

<=> the two triangles are similar to each other, triangles are similar if they have the same shape, but can be different sizes, so  A″B″C″ is 4 time bigger than ABC

=> the relationship between ΔABC and ΔA″B″C″

= \frac{AB}{A''B''}  = \frac{1}{4}

We choose C.

Hope it will find you well.

7 0
3 years ago
HELP!!! Anyone know how to solve I know the answer is (-3) but I don’t know how to get there. Thanks!!
Dima020 [189]

Answer:   v = -3

=========================================

Work Shown:

5 = \sqrt{-2-6v}+1\\\\5-1 = \sqrt{-2-6v}\\\\4 = \sqrt{-2-6v}\\\\4^2 = \left(\sqrt{-2-6v}\right)^2 \ \text{ .... square both sides}\\\\16 = -2-6v\\\\16+2 = -6v\\\\18 = -6v\\\\-6v = 18\\\\v = 18 \div (-6)\\\\v = -3

As you can see, we don't square both sides until the square root portion is fully isolated or on its own side. So it happens after we subtract 1 from both sides.

Technically, you are able to square both sides without first isolating the square root. But that would mean you'd have to use the FOIL rule and things would get a bit messier than they have to be. Not to mention that the square root term wouldn't fully go away (so you'd have to square again later down the line).

------------------

Checking the answer:

Replace every copy of v with -3. Simplify both sides. We should end up with the same number on each side

5 = \sqrt{-2-6v}+1\\\\5 = \sqrt{-2-6(-3)}+1\\\\5 = \sqrt{-2+18}+1\\\\5 = \sqrt{16}+1\\\\5 = 4+1\\\\5 = 5\\\\

The answer is confirmed.

4 0
3 years ago
Please help me with this please and thank you
melamori03 [73]

Answer:

B

Step-by-step explanation:

let X represent the smaller paintings and Y represent the larger paintings

since she bought 8 paintings

X+Y=8

She bought all the eight paintings for $230 and X is worth 25 while Y is worth 40

25×X+40×Y=230

25X+40Y=230

7 0
2 years ago
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