MATHEMATICS HIGH SCHOOL

What type of number is 3.75i+7

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

In my day they called them imaginary numbers.

I think the answer you want is a complex number.

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What are the zeros of the following polynomial: x^3-9x=0
What’s the y value for the given value of x Y=x+5; x=3
Please help me with this question, as soon as possible.
Solve :5x - 7y = 125y - 2x = - 7
One point on a line is given the coordinate 5.3. A second point on the line has a coordinate of 8.7.The distance between these points is __________ units.

Two decimal numbers add together to equal 1 what is the number

Answers

The answer is 0.5 because a half and a half equals a whole
0.5 is the number that is equal to 1 adding up 2 times.I hope this will help
:-)

10. Susan wants to buy a paddle boat for $840. She will pay 20% down and pay the rest in six monthly installments. What will be the amount of each monthly payment?A. $140
B. $28
C. $168
D. $112

11. A certain alloy contains 14.25% nickel. How much nickel is there in a piece weighing 375 pounds? Round your answer to the nearest hundredth.
A. 112.49 pounds
B. 12.24 pounds
C. 53.44 pounds
D. 78.92 pounds

Answers

1. Find the 20% of 840$ : 840 x 0,2 = 168$ (She will pay 168$)
2.840-168=672$
3.672 divided by 6 = 112$ per month

Which means , d) .

If we divide the polynomial x4 + 4x3 + 2x2 + x + 4 by x2 + 3x, what will be the remainder?

Answers

x^4+4x^3+2x^2+x+4 = Q(x)\cdot (x^2+3x)+ax+b,\;we\;need\;to\;find\;a,\;and\;b;\n\nx^4+4x^3+2x^2+x+4 = Q(x)\cdot x\cdot (x+3)+ax+b

If you choose x = 0, then we have 4 = Q(0)*0 + a*0 + b, therefore b = 4.

If we choose x = -3, then we have:

(-3)^4+4\cdot (-3)^3+2 \cdot (-3)^2-3+4 = Q(-3)\cdot (-3)\cdot (-3+3)-3a+4\Rightarrow 81-108+18+1=4-3a,\;or\;-12=-3a,\;so\;a=4.

The remainder is: 4x+4.

Green eyes.

6,15, 24,..
Find the 50th term.

Answers

Answer:

447

Step-by-step explanation:

a₁ = 6 + 9*0

a₂ = 6 + 9*1

a₃ = 6 * 9 * 2

......

a₅₀ = 6 + 9*49 = 447

There are nine balls. One is slightly lighter than the rest; the difference is small enough that you can't tell just by picking them up. Using a basic two-sided scale, what's the minimum number of times you'd need to weigh balls to guarantee you find the light one?

Answers

You will need to weight those balls only twice.You weight 6 balls, 3 on one side of weight and 3 on another, and other3 balls you have are in your hand.

Check picture bellow
just my thoughts:
this is assuming the rest of the balls are of equal weight.
put 4 and 4 on either side of the scale, if by some chance they end up equal then that means the one ball not on the scale is the lighter. (can switch out with another ball to confirm) and that will be 2 weighs by just luck.
systematically, the more likely case is that the lighter ball will be in the 8 you put on the scale, and it's lightness will cause one side to be higher. this means that the lighter ball is on the higher side.
then take the four balls from the higher side and put two and two back on the scale. again higher sides means lighter. then take those two and put one and one. you will then find the lightest ball.
this method will take 3 weighs

Bethany has $3.10 in nickels and dimes. She has a total of 44 coins. What is the value of the nickels Bethany has?$0.90
$1.30
$1.80
$2.60

Answers

0.05n + 0.1d = 3.10
n + d = 44

d = 44 - n

Substituting to the first equation:

0.05n + 0.1(44 - n) = 3.10
0.05n + 4.4 - 0.1n = 3.10
-0.05n = 3.10 - 4.4
n = 26

Obtaining the value of nickels:
26 * 0.05 = 1.3

Therefore, the value of nickels that Bethany has is $1.30

Answer:

b: $1.30

Step-by-step explanation:

trust me
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A 65.0 gram sample of some unknown metal at 100.0° C is added to 100.8 grams of water at 22.0° C. The temperature of the water rises to 27.0° C. If the specific heat capacity of liquid water is 4.18 J/ (°C × g), what is the specific heat of the metal?2.25 J/ (°C × g). 1.75 J/ (°C × g). 0.444 J/ (°C × g). 0.324 J/ (°C × g).