Prove that if a,b and c are odd integers such that a + b +c = 0, then abc < 0. (you are permitted to use well-known properties of integers here.) be sure to show all work.

Answers

Answer 1

Answer:

The sum of three odd integers will never be an even integer (0).

This proof is impossible.

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Kendra sold 200 shares through her broker in June 8. The price per share was $22.10. The broker charged her a 0.5% commission on the total value. What was Kendra’s return on the trade?

Answers

Answer:

A. $4397.9

Step-by-step explanation:

We are given that Kendra sold 200 shares and that the price per share was $22.1

This means that:

Total value = 200 * 22.1 = $4420

Now, we know that the broker charged 0.5% commission on the total value

This means that:

Broker's charge = 0.5% * 4420 = 0.005 * 4420 = $22.1

Therefore,

Kendra's return = Total value - broker's charge

Kendra's return = 4420 - 22.1 = $4397.9

Hope this helps :)

Use cubic regression to find afunction that fits the following
points.
(1,-1), (2,-13), (3,-45),(-1,11)
y = [?]x3+[ ]x2+0 ]x+[ ]

Answers

The cubic regression function of the points (1,-1), (2,-13), (3,-45), (-1,11) is y = -2x³ + 2x² - 4x + 3

How to determine the function?

The points are given as:

(x,y) = (1,-1), (2,-13), (3,-45), (-1,11)

A cubic regression function is represented as:

y = ax³ + bx² + cx + d

Next, we determine the cubic function using a graphing calculator.

From the graphing calculator, we have the following coefficients:

a = -2
b = 2
c = -4
d = 3

Recall that:

y = ax³ + bx² + cx + d

So, we have:

y = -2x³ + 2x² - 4x + 3

Hence, the cubic regression function of the points is y = -2x³ + 2x² - 4x + 3

Read more about regression functions at:

brainly.com/question/25226042

#SPJ1

Mary runs 7 miles in 60 minutes. At the same rate, how many miles would she run in 24 minutes?

Answers

7 miles / 60 minutes = x miles / 24 minutes

cross multiply and simplify to get 2.8 miles.

So, Mary can run 2.8 miles in 24 minutes at the same rate.

let d equal the distance in meters and t equal the time in seconds. Which is a direct variation equation for this relationship

Answers

Answer:

d = s x t

Step-by-step explanation:

The formula for distance.

Complete the following proof

Answers

Answer:

Step-by-step explanation:

statment/reason

1) HK≅JK / given (S)

2) IK bisects ∠HKJ / given

3) ∠3≅∠4 / angle bisectors form congruent angles (A)

4) HK≅JK / given

5) IK ≅IK / reflexive propriety (S)

6) ΔIHK≅ΔIJK / SAS theorem of congruency

7) ∠1≅∠2 / corsponding parts of congruent Δs are ≅

8) IK bisects ∠HIJ / angle bisectors form congruent angles

Find the surface area of the triangular prism.5 ft
5 ft
13 ft
4 ft
6 ft

Answers

Answer:

234ft²

Step-by-step explanation:

Surface of the triangular prism

= ab+3bh

= (6ft×13ft)+(3×13ft×4ft)

= 78ft²+156ft²

= 234ft²

Hence, the surface area of the given triangular prism is 234ft².

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A computer processes jobs on a first-come, first served basis in a time-sharing environment. The jobs have Poisson arrival rates average 0.6 jobs per minute. The objective in processing these jobs is that they spend no more than 5 minutes, on average, in the system. Assuming exponential service times, how fast does the computer have to process jobs (in minutes), on average, to meet this objective