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Svetach
24 days ago
14

One is the additive identity. True or False

Mathematics
1 answer:
Inessa [12.5K]24 days ago
3 0
False; the additive identity refers to the number 0, which does not alter the value of any number when added to it.
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Geraldine has 200 feet of fencing. She wants to fence in a rectangular area. Which function A(w) represents the area of land tha
Zina [12379]
A(w) = -w² + 100w Step-by-step explanation: Initially, we need to express the length (l) of the rectangular area in terms of the width (w). Given that the total perimeter of the rectangle is 200 feet implies that 2(w + l) = 200, leading to l = 100 - w. Hence, the area A can be given as width multiplied by length: A = w * l = w * (100 - w) = -w² + 100w. Consequently, A(w) = -w² + 100w.
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1 month ago
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ
babunello [11817]

Response:

Each associate incurs a cost of $700 daily for the client, meaning that 'a' associates will cost the client 700a dollars each day. For each partner, the charge is $1500 daily, so 'p' partners will accumulate a cost of 1500p dollars daily. The cumulative bill amounts to 700a + 1500p = $14100:

700a + 1500p = 14100

700a + 1500p = 14100

Given that there are a total of 11 lawyers assigned (associates and partners), the equation a + p must equal 11.

a + p = 11

a + p = 11

\underline{\text{Formulate System of Equations:}}

Formulate System of Equations:

​

700a + 1500p =

700a + 1500p = 14100

14100

a + p = 11

11

8 0
2 months ago
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and poin
babunello [11817]

Answer:

(a)

The distance from A to B to C equals 40 yards.

(b)

w is less than 40.

Step-by-step explanation:

The information provided states:

The distance from A to B is 15 yards.

Thus, AB is 15 yards.

The distance from B to C is 25 yards.

Therefore, BC is 25 yards.

(a)

The total distance from A to B to C is given by AB plus BC.

A to B to C = 15 + 25.

The total distance is 40 yards.

(b)

The direct distance from A to C (AC) must be shorter than the length of A to B to C.

AC is less than AB plus BC.

AC must be less than 15 + 25.

Thus, AC is less than 40 yards.

w is less than 40.


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