MATHEMATICS HIGH SCHOOL

If n-2 = 1/16, then n could be which of the following?-8
-4
-1/4
1/4
4

Answers

Answer 1
Answer:

Answer:

The correct options are 2 and 5. The value of n is either -4 or 4.

Step-by-step explanation:

The given equation is

n^(-2)=(1)/(16)

Using the property of exponent it can be written as

(1)/(n^(2))=(1)/(16)             [\because a^(-n)=(1)/(a^n)]

On comparing both the sides we get

n^2=16

Taking square root both the sides.

n=\pm√(16)

n=\pm 4

The value of n is either -4 or 4. Therefore the correct options are 2 and 5.
Answer 2
Answer: The answer is 4

4^-2 = .0625 or 1/16

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a goblet contains 3 red balls, 2 green balls, and 5 blue balls. if we choose a ball, then another ball without putting the first one back in the goblet, what is the probability that the first ball will be red and the second will be blue? 3/20

Answers

Answer: (1)/(6)

Step-by-step explanation:

The chance of the first ball being red is  (3)/(10).

The chance for the second ball being blue is  (5)/(9), as the red ball is not added back in. To find the chance of both of these happening, you multiply them together.

(3)/(10) · (5)/(9) = (15)/(90) which simplifies to (1)/(6).

Solve the following system.
x^2 + y^2 = 25
2x + y = 10
The solution set

Answers

\begin{cases} x^(2)+y^(2)=25 \n 2x+y=10 \end{cases} \n \n \begin{cases} x^(2)+y^(2)=25 \n y=10 -2x\end{cases} \n \n \begin{cases} x^(2)+(10-2x)^(2)=25 \ny=10-2x \end{cases} \n \n \begin{cases} x^(2)+100-40x+4x^(2)=25 \ny=10-2x \end{cases} \n \n \begin{cases} 5x^(2)-40x+75=0 \ny=10-2x \end{cases}

\begin{cases} x^(2)-8x+15=0 \ny=10-2x \end{cases} \n \n \begin{cases} \Delta=(-8)^(2)-4*1*15=64-60=4; \ \ \ √(\Delta) =2 \ny=10-2x \end{cases} \n \n \begin{cases} x_(1)= (8-2)/(2) =3 \ \wedge \ x_(2)= (8+2)/(2)=5 \ny=10-2*3=4 \ \wedge \ y=10-2*5=0 \end{cases}

A circle has an area of 36π in2. What is the area of a sector of the circle that has a central angle ofπ 6?

A)3 in2
B)6 in2
C)12 in2
D)196 in2

Answers

A central angle : π / 6 = 30 °
30 ° = 360 ° / 12
The area of the sector is 1/12 of the area of a circle.
Therefore area of the sector is:
A = 36 π / 12 = 3 π
Answer: A ) 3 π in²

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Area of a circle = 36π in²

As we know the formula for "Area of circle ":

Area=\pi r^2\n\n36\pi=\pi r^2

Now, we need to calculate the area of sector.

As we know the formula for "Area of sector":

Area\ of\ sector=(\theta)/(360\textdegree)\pi r^2\n\nArea\ of\ sector=(30)/(360)* 36\pi \n\nArea\ of\ sector=(1)/(12)* 36\pi\n\nArea\ of\ sector=3\pi\ in^2

Hence, Option 'A' is correct.

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Answers

To see which one is lesser, it is necessary to convert one to the unit of the other. This can be done using the following relation: 1 L = 1000mL

Converting 250mL to L:

250 mL * (1 L / 1000 mL) = 0.25 L.

Therefore, the amount 250 mL is the lesser of the two.

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Answers

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Answers

La sup della base del box e' :
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8( crate/ strato) x 2 (strati)=16 crates

Answer:

16 crates if i am right
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