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pochemuha
2 years ago
14

Which product is negative?

Mathematics
1 answer:
larisa [96]2 years ago
6 0
B because the multiplication has different signs
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What is the inverse property of the complex number 9-4i
Zina [86]

Answer:

when added to the original number, would equate to zero. Another term this may be known as is the additive identity. The additive inverse is simply:

(a + bi) = -(a + bi)

Given: 9 - 4i

-(9 - 4i) = -9 + 4i

Therefore, the answer is B.

6 0
3 years ago
What is the volume of the solid?
Evgen [1.6K]

9514 1404 393

Answer:

  (9√3 -3π/2) ft^3 ≈ 10.88 ft^3

Step-by-step explanation:

The area of the hexagon is given by the formula ...

  A = (3/2)√3·s^2 . . . . for side length s

The area of the hexagonal face of this solid is ...

  A = (3/2)√3·(2 ft)^2 = 6√3 ft^2

__

The area of the circular hole in the hexagonal face is ...

  A = πr^2

The radius is half the diameter, so is r = (2 ft)/2 = 1 ft.

  A = π(1 ft)^2 = π ft^2

Then the area of the "solid" part of the face of the figure is ...

  A = (6√3 -π) ft^2

__

The volume is ...

  V = Bh . . . . . where B is the area of the base of the prism, and h is its height

  V = ((6√3 -π) ft^2)(3/2 ft) = (9√3 -3π/2) ft^3 ≈ 10.88 ft^3

8 0
3 years ago
A committee has thirteen members. There are three members that currently serve as the​ board's chairman, ranking member, and tre
kogti [31]

Answer: Probability P = 1/1716

Step-by-step explanation:

Definition

For permutation ( order is important)

nPr = n!/(n-r)!

Given;

Total number of members in the committee = 13

Total number of members to be selected = 3

Since order is important in this case.

The total number (Tt) of possible ways of selecting three executives from the committee members is given as

Tt = 13P3 (since order is important)

Tt = 13!/(13-3)!

Tt = 13!/10!

Tt = 1716

The probability P of randomly selecting the three members who currently hold the positions of chairman, ranking member, and treasurer and reassigning them to their current​ positions is equal to

P = number of favourable outcomes/ number of possible outcomes

Number of favourable outcomes = 1 (i.e 1×1×1 = 1) one option for each post.

Number of possible outcomes = Tt = 1716

P = 1/1716

7 0
3 years ago
Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.
weeeeeb [17]

Answer:

B

Step-by-step explanation:

given the first 3 terms of the geometric sequence - 4, 20, - 100

with r = \frac{-100}{20} = \frac{20}{-4} = - 5

the n th term formula ( explicit formula ) is

a_{n} = a_{1} r^{n-1}

here r = - 5 and a_{1} = - 4, hence

a_{n} = - 4 (-5)^{n-1} with n ≥ 1





4 0
3 years ago
Read 2 more answers
The ratio of frogs to toads was 3 to 7. If there were 1280 frogs and toads in all, how many were frogs?
Snowcat [4.5K]

Answer:

348 frogs

Step-by-step explanation:

ratio = 3:7

total of ratio = 10

frogs = 3/10 × 1280 = 348 frogs

3 0
3 years ago
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