Simplify the number using the imaginary unit i:(square root) -28

options:
a. 2(square root) -7
b. -2(square root) -7
c. i(square root) 28
d. 2i(square root) 28

Answers

Answer 1

Answer: We have to simplify:
√ ( - 28 )
We know that √ (-1 ) = i ( the imaginary unit )
√ ( - 28 ) = √ 28 * ( - 1 ) = i √ ( 28 ) = i √ ( 4 * 7 ) = 2 i √( 7 )
But there is not such solution among the options.
Only correct answer ( using the imaginary unit ) is:
C. i (square root) 28

Answer 2

Answer:

The simplified form is 2√7i.

Hence none of the provide option correct.

To simplify the square root of -28 using the imaginary unit i, we can first express -28 as a product of a positive number and -1:

The square root of -28 is equal to the square root of 28 times the square root of -1, which simplifies to 2 times the square root of 7 times i So, the simplified expression is:

2√7i.

The correct answer is not among the options provided.

The simplified form is 2√7i.

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3x=25-4

Kkkkkkkkkkkkkkkkkkk

Answers

Answer:

x = 7

Step-by-step explanation:

The first step to solving this problem is combining like terms. 25 - 4 = 21, so now we have 3x = 21. To simplify this, we need to divide both sides by the coefficient of x, which is 3 in this case. 3x/3 = 21/3 gives us x = 7.

If a flexible air-filled container has a volume of 40 cu ft on the surface, what would the volume be at 99 feet in sea water

Answers

The volume of flexible air filled container at 99 feet in sea water is 10 cu.ft.

What is Boyle's law?

Boyle's Law states that If the temperature is constant, the volume of a gas is inversely proportional to the absolute pressure.

V 1/V2 =P2/P1

V2 = P1 x V1 /P2

Substitute 60 psi for P2, 14.7 psi for P1 and 40cu.ft for V1, we get the volume V2

V2 = 40 x 14.7 / 60

V2 = 9.8 cu.ft

Volume is approximately 10 cu.ft.

Thus, the volume of flexible air filled container at 99 feet in sea water is 10 cu.ft.

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Answer:

50 cu ft

Step-by-step explanation:

The element in group 15 and period 4

Answers

Final answer:

The element in group 15 and period 4 of the periodic table is Arsenic (As), which is classified as a metalloid due to its mixed properties of metals and non-metals.

Explanation:

The element that is found in group 15 and period 4 on the periodic table is Arsenic (As). Group refers to the vertical column and period refers to the horizontal row on the periodic table.

Arsenic belongs to the 'p-block' group of the periodic table and it is classified as a metalloid. This means it has properties of both metals and non-metals. For example, arsenic is brittle (like a non-metal) but can also conduct some electricity (like a metal).

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Answer:

Arsenic

Step-by-step explanation:

Periods are vertical, groups are horizontal

Jade invested $13,500 at 5.2% interest, compounded semiannually, and she wants to know how much her investment will be worth in 8 years
Part 1: What is the periodic interest rate of jade investment
Part 2: How many compounding periods does jades investment offer in a year? how about in 8 years?

Answers

Part 1: What is the periodic interest rate of jade investment?

Each compounding period is done semi-annually, which means twice a year. Since the given interest rate is annual, then 5.2% divided by half should yield the period interest rate, which is 2.6%

Part 2: How many compounding periods does Jade's investment offer in a year? how about in 8 years?

In 1 year, there are 2 compounding periods. In 2 years, there are 16 compounding periods.

Answer:

Part 3: What expression can Jade write to figure out how much her investment will be worth in 8 years? F = $13,500.00 * (1 + .052/2) ^ (2*8)

Part 4: How much will Jade's investment be worth in 8 years? $20,355.96

Step-by-step explanation:

On discovering that her family had a 70% risk of heart attack, Erin took a treadmill test to check her own potential of having a heart attack. The doctors told her that the reliability of the stress test is 67%. The test predicted that Erin will not have a heart attack. What is the probability after the test was taken that she will have a heart attack?0.4051
0.5010
0.4653
0.6632

Answers

The test predicted that Erin will not have a heart attack. The probability after the test was taken that she will have a heart attack is 0.4653. the rest of teh choices do not answer the question above.

Answer:

THERE CORRECT JUST FOR RESHORENCE

Step-by-step explanation:

Caridad borrowed $15,500 at 11% ordinary interest for 120 days. After 70 days, she made a partial payment of $3,000. What is the final amount due on the loan? (Round to the nearest cent)

Answers

15 500 at 11% ordinary interest for 120 days.
=> 120 days = approximately 4 months.
=> 15 500 * .11 = 1705 dollars interest
=> 15 500 + 1750 = 17 205 dollars
=> 17 205 dollars - 3000 dollars after 70 days = 14 205 dollars is the amount due

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