MATHEMATICS HIGH SCHOOL

Which prefix means one hundredth?

milli
deci
centi
deca

Answers

Answer 1
Answer: The answer to that is centi.
Answer 2
Answer:

Answer: The answer to that is centi.

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5.A store manager receives a delivery of 1,200light bulbs. The store manager tests all the

lightbulbs and finds that 180 of them are defective.

Based on these results, what can the store

manager predict about the next delivery of 1,800

light bulbs?

Answers

The store manager can predict that there may be approximately 270 defective light bulbs in the next delivery of 1,800 light bulbs.

Based on the given information, we know that 180 out of 1200 light bulbs in the first delivery were defective. We can use this information to estimate the number of defective light bulbs we might expect in the next delivery of 1,800 light bulbs.

To do this, we can use the proportion of defective light bulbs in the first delivery and apply it to the next delivery. The proportion of defective light bulbs in the first delivery is:

180/1200 = 0.15

So, we can expect that approximately 0.15 of the light bulbs in the next delivery will be defective. To find out the actual number of defective bulbs, we can multiply this proportion by the total number of bulbs in the next delivery:

0.15 x 1800 = 270

Therefore, the store manager can predict that there may be approximately 270 defective light bulbs in the next delivery of 1,800 light bulbs. However, this is only an estimate and the actual number of defective bulbs could be higher or lower than this prediction.

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What is the equation of the line of symmetry for g(x) = 5x2 – 10x + 24?
x = _________

Answers

x = -b/2a
so substitute the numbers inside the it gives
x = -(-10)/2*5
x = 10/10
x = 1
so line of symmetry is 1

Yolanda makes 6 goals and 2 penalties ending the game with 16 points and neel earns 4 goals and 2 penalties and ends the game with 6 points use x and y to represent the number

Answers

the number of goals Yolanda scores without penalties is x = 8, and the number of goals Neel scores without penalties is y = 0.

Let x be the number of goals Yolanda scores without penalties, and let y be the number of goals Neel scores without penalties.

According to the problem, Yolanda makes 6 goals and 2 penalties, so her total number of goals is:

x + 6

And her total number of points is:

(x + 6) + 2(1) = x + 8

Similarly, Neel scores 4 goals and 2 penalties, so his total number of goals is:

y + 4

And his total number of points is:

(y + 4) + 2(1) = y + 6

We know that Yolanda ends the game with 16 points, so we can write:

x + 8 = 16

Subtracting 8 from both sides, we get:

x = 8

We also know that Neel ends the game with 6 points, so we can write:

Y + 6 = 6

Subtracting 6 from both sides, we get:

y = 0

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Solve for x : 2x^2+4x-16=0

Answers

2x^2+4x-16=0\ \ \ /:2\n\nx^2+2x-8=0\n\n\underbrace{x^2+2x\cdot1+1^2}_((*))-1^2-8=0\n\n(x+1)^2-1-8=0\n\n(x+1)^2-9=0\n\n(x+1)^2=9\iff x+1=-3\ or\ x+1=3\n\nx=-3-1\ or\ x=3-1\n\nx=-4\ or\ x=2\n\n\n(*)\ (a+b)^2=a^2+2ab+b^2



2x^2+4x-16=0\ \ \ /:2\n\nx^2+2x-8=0\n\na=1;\ b=2;\ c=-8\n\n\Delta=b^2-4ac\ if\ \Delta > 0\ then\ x_1=(-b-\sqrt\Delta)/(2a)\ and\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\Delta=2^2-4\cdot1\cdot(-8)=4+32=36;\ \sqrt\Delta=√(36)=6\n\nx_1=(-2-6)/(2\cdot1)=(-8)/(2)=-4;\ x_2=(-2+6)/(2\cdot1)=(4)/(2)=2
in order to solve it, we need find the zero of the polynomial.

we find the zero of the polynomial by splitting the middle term method

2x2 -+ 4x - 16

= 2x2 + 8x - 4x -16

= 2x( x + 4)- 4(x + 4)
= (2x-)(x+4)

we find the zeroes of the factors

experimentally we find two values, 2 and -4.

Thus, values of x are 2 and -4

Evaluate cos(tan^-1 0)

Answers

cos (tan^-1 0)
cos ( 0 )
1

Dayton is due north of Richmond, and Easton is 16 mi due east of Richmond. Dayton is 32 mi from Easton.How far apart are Dayton and Richmond? Round to the nearest tenth of a mile.


___ mi

Would you do 32^2-16^2 or 32^2+16^2

Answers

We need to use the Pythagorean Theorem, which states:

Hypotenuse^2 = (Leg_(1))^2 + (Leg_(2))^2

Look at the image I have attached.

Using what we know, we get:

32^2 = x^2 + 16^2\n\nx^2 = 32^2 - 16^2\n\nx^2 = 1024 - 256\n\nx^2 = 768\n\n\boxed{\bf{x=27.7~miles}}

You would have to do sqrt(32^2 - 16^2) to get the answer.

Your final answer is 27.7 miles.

Hope this helped! If you have any other questions or would like further explanation just let me know!! :)
It is 32^2 - 16^2

Draw a triangle

Richmond is right above of Dayton (North). The distance between them is a side of  the right triangle. You do not know this distance , it is the unknown side.

Dayton is 16 mi to the east. It is the other side of the right triangle.

The other known length is the hypotenuse of the right triangle, which is the distance from Easton to Dayton. It is 32 mi.

As per Pythagorean theorem, (Side_1)^2 = (hypotenuse)^2 - (Side_2)^2
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