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Contact [7]
3 years ago
13

How many ways can choose 7 friends to be invited to the party out of 20 total friends?

Mathematics
1 answer:
Lelu [443]3 years ago
3 0

Answer:

Each of the 7 friends could be present or not present (2 cases) at the party giving total of  27  scenarios.

Since at least one must be present we exclude the case that none of them is present. So the answer would be:

27−1=127.

Step-by-step explanation:

i actually dont know but can you report me and dont ask

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Domain = (1,2)
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3 years ago
Trevor is analyzing a circle, y2 + x2 = 49, and a linear function g(x). Will they intersect?
melomori [17]
We have a circumference that is given by the following equation:

x^{2}+y^{2}=49

We can write this equation in its standard form as follows:

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On the other hand, the linear function is given as the following table:

x \ \ \ \ \ \ \ \ g(x) \\ -1 \ \ -9.2 \\ 0 \ \ \ \ \ -9 \\ 1 \ \ \ \ \ -8.8

To check if the circle and the line intersects, let's substitute the equation of the line into the equation of the circle to see if there is a real solution, so:

x^{2}+(0.2x-9)^{2}=49 \\ \\ \therefore x^{2}+0.04x^{2}-3.6x+81=49 \\ \\ \therefore 1.04x^{2}-36x+32=0 \\ \\ Solving \ for \ x: \\ x_{1}=33.70 \\ x_{2}=0.91 \\ \\ Solving \ for \ y: \\ y_{1}=0.2(33.70)-9=-2.26 \\ y_{2}=0.2(0.91)-9=-8.18

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3 years ago
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A rectangular prism with dimensions 5 inches by 13 inches by 10 inches was cut to leave a piece as shown in the image. What is t
vesna_86 [32]

Answer:

Volume of the piece in the picture = 350 cubic inches

Volume of the remaining piece = 300 cubic inches

Step-by-step explanation:

Given question is incomplete without the picture; here is the picture as an attachment.

Volume of the rectangular prism = Length × width × height

V = 5 × 13 × 10

  = 650 cubic inches

Now volume of the piece given in the picture = Volume of prism at the base + Volume of the prism with triangular base

= 10×5×1 + (\text{Area of the triangular base})\times (\text{Height})

= 50 + \frac{1}{2}\times (12\times 5)\times 10

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= 350 cubic inches

Volume of the other piece = 650 - 350

                                            = 300 cubic inches

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