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Alexandra [31]
4 years ago
10

Question 3 (10 points) Find the 20th term of the arithmetic sequence: -5, -2, 1, 4, ....

Mathematics
1 answer:
Rom4ik [11]4 years ago
6 0

The 20th term of an arithmetic sequence is 44 and the common difference is 4.

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In AOPQ, o = 700 cm, p = 840 cm and q=620 cm. Find the measure of _P to the<br> nearest degree
Westkost [7]

Given:

In triangle OPQ, o = 700 cm, p = 840 cm and q=620 cm.

To find:

The measure of angle P.

Solution:

According to the Law of Cosines:

\cos A=\dfrac{b^2+c^2-a^2}{2bc}

Using Law of Cosines in triangle OPQ, we get

\cos P=\dfrac{o^2+q^2-p^2}{2oq}

\cos P=\dfrac{(700)^2+(620)^2-(840)^2}{2(700)(620)}

\cos P=\dfrac{490000+384400-705600}{868000}

\cos P=\dfrac{168800}{868000}

On further simplification, we get

\cos P=0.19447

P=\cos^{-1}(0.19447)

P=78.786236

P\approx 79

Therefore, the measure of angle P is 79 degrees.

8 0
3 years ago
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2b^3+5=2(3)^3+5 when b=3
seraphim [82]

Answer:

2b^3+5=2(3)^3+5 when b=3

5 0
3 years ago
What’s the answer to this problem?
Vinil7 [7]

×=23

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5 0
3 years ago
Prepare a perpetual inventory​ record, using the FIFO inventory costing​ method, and determine the​ company's cost of goods​ sol
krek1111 [17]

Answer:

The First-In, First-Out (FIFO) inventory costing method assumes that the inventory items ordered first are the first ones sold.

Step-by-step explanation:

The First-In, First-Out inventory costing method assumes that the inventory items ordered first are the first sold. This is ideal for goods that are highly perishable, for example fresh milk. Since no figures or dates are given, we will assume that the month is March 2019 and use any figures to make the example.

Date Item      Quantity of stock Cost Price

01  Opening stock bought on Feb 28  10   100

05  Sale of 5 goods (cost is $10 each)  (5)   50

15 Purchase of stock (20 goods at $20 each) 20   400

25 Sale of 15 goods                     (15)   250  

(5 at $10 each & 10 at $20 each)

31 Closing Stock               10   200

       (20 goods bought on 15th - 10 goods sold on 25th)

The quantity on hand at the end of the month is 10 units.  

Total cost of goods on hand at end of the month = 10 units * $20 = 200.

Total cost of goods purchased during the month = $20 * 20 units = $400

Total cost of goods sold during the month = [($10 *5) + ($10 * 5)+ ($20 * 10)] = $200

6 0
4 years ago
The larger of two numbers is 7 times the smaller number. Three times the larger number is 7 more than 4 times the smaller number
V125BC [204]
X>Y
X=7Y
3X=7+4Y
X=?
Y=?
----------------------------
3*7=7+4Y
21Y=7+4Y
21Y-4Y=7
17Y=7
Y=7/17
----------------------
X=7*7/17
X=49/17
6 0
4 years ago
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