MATHEMATICS HIGH SCHOOL

What is the sum of the last four terms of the series 7+9+11+...+21

Answers

Answer 1
Answer: 7 - 9 = 2 9 - 11 = 2 You should see that the series just increases by +2 therefore you can figure out what the last four terms are and then add them up one of the last terms given is 21

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Bilquis practices the piano 903 minutes in 3 weeks. Assuming she practices the same amount every week, how many minutes would she practice in 5 weeks?

Answers

Final answer:

The electron configuration for each ion can be determined using the noble gas core notation.

Explanation:

The electron configuration for each of the given ions can be determined using the noble gas core notation. The noble gas notation involves representing the core electron configuration with the symbol of the noble gas that matches it, followed by the electron configuration of the valence electrons. For example, the electron configuration of a sodium ion ([Na]⁺) using the noble gascore notation is [Ne]3s².

Learn more about Electron configuration here:

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If w = 7, what is the value of 21 - 2w?

Answers

do order off operations first
so 7 time 2 which is 14
then 21-14
which is 7
21-2(7)=
=21-14
=7
The answer is 7

Harry's rectangular side yard is 2 yards by 14 yards with an area of 28 square yards. Which dimensions have the same area

Answers

4 yards by 7 yards. 2 multiplied by 14 is 28, and 4 multiplied by 7 is also 28.

13. A factory produces 500,000 nails per day. The manager of the factory estimates that there are less than 1,500 misshapen nails made per day. A random survey of 500 nails finds 4 misshapen ones. Is the manager correct in his estimate? Explain.​

Answers

Answer: The manager is incorrect.

Step-by-step explanation: 500,000 nails/500 nails = 1,000 nails. If a survery of 500 nails finds 4 misshapen ones, we must multiply 4 by 1,000 because multiplying 500 by 1,000 gives us 500,000. 4x1,000+4,000. 4,000 does not equal 1,500, so the manager is incorrect.

Jay traveled from Miami to Jacksonville, a distance of 320 miles. He left Miami at 8:00am, stopped for lunch for 30 minutes, and stopped for two 15 minute breaks at rest areas. He arrived in Jacksonville at 2:15pm. What was his average rate of speed during his travel time? Please explain the steps to get the answer. Thanks!

Answers

To find the “Average Rate of Speed", we know we need the Total Distance and the Total Time. The Total Distance is 320 miles and the Total Time is 14:15 - 8:00 = 6:15 hours = 6.25 hours .So the Average Rate = 320 miles/ 6.25 hours = 51.20 mph.

0.6x-0.3y=-1.5
0.04x-0.02y=-0.1

Answers

6x - 3y = -15; /* 2 =>    12x - 6y = -30;
4x - 2y = -10; /*(-3) => -12x + 6y = 30
                                   ____________
                            => 0 = 0 True, for every x and every y real numbers;

the solution is {(x, 2x + 5) / x∈R };
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