Simplify the following expression. 4a^-2b

A.) b/4a^2
B.)4b/a^2
C.)1/4a^b2

Answers

Answer 1

Answer: ANSWER

The correct answer is B

$\frac{4b}{ {a}^(2) }$

EXPLANATION

The given exponential expression is

$4 {a}^( - 2) b$

We can rewrite this as,

$4b * {a}^( - 2)$

We need to simplify to obtain a positive index, so we apply the following property,

${a}^( - m) = \frac{1}{ {a}^(m) }$

This implies that,

$4b * {a}^( - 2) = 4b * \frac{1}{ {a}^(2) }$

This will finally simplify to,

$4b * {a}^( - 2) =\frac{4b}{ {a}^(2) }$

Therefore the correct answer is B

Answer 2

Answer:

Answer:

B.)4b/a^2

Step-by-step explanation:

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B) y= -
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21
x +
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21

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Answers

Answer:c

Step-by-step explanation:

prove algebraically that the straight line with the equation x=2y+5 is a tangent of the circle with the equation x^2+y^2=5

Answers

Answer:

Step-by-step explanation:

To prove the straight line is tangent to the circle:

substitute the straight line into the circle equation
discriminant of the new equation has to be equals to 0

(1)

substitute x = 2y + 5 into x² + y² = 5

x² + y² = 5

(2y + 5)² + y² = 5

4y² + 20y + 25 + y² = 5

5y² + 20y + 20 = 0

y² + 4y + 4 = 0

(2)

discriminant of y² + 4y + 4 = 0 has to be equals to 0

$\boxed{D=b^2-4ac}$

D = 4² - 4(1)(4)

D = 0

∴ Proven

The measurement of a rectangular dam are:length =60-2x width=2x depth=x/2 determine the volume of the damin terms of x

Answers

Volume of this rectangular dam=lenght x width x depth
Data:
lenght=60-2x
width=2x
depth=x/2

V(x)=(60-2x)(2x)(x/2)
v(x)=(120x²-4x³)/2
v(x)=60x²-2x³

The volume of the rectangular dam is V(x)=60x²-2x³

7.2 x 12 x 0.23 = ? Round to the nearest hundredth.A. 19.88
B. 19.87
C. 19.44
D. 19.43

Answers

B. 19.87

The answer of the multiplication is 19.872. close to the nearest hundredth, it is 19.87. That is because the digit after 7 is 2 which is less than 5. had it been 5 or greater than 5, the answer would have been A. 19.88.

The answer is B. 7.2*12=86.4, 86.4*0.23=19.872.

A bag of concrete equals 1000 cu. Inches. Your customer already has 2 bags at home. How many more bags does he need to fill an area of 5’ x 10” x 10”? ________

Answers

From the information given;
1 bag of concrete = 1000 in^3
2 bags at home = 1000*2 = 2000 in^3

The available space has a volume of;

Volume = (5*12)*10*10 (Note: 1 ft = 12 inches)
Volume = 60*10*10 = 6000 in^3

The remaining volume = Available space - occupied space = 6000 - 2000 = 4000 in^2

1 bag = 1000 in^3
x bags = 4000 in^2

Then,
x = 1*4000/1000 = 4 bags.
This means 4 more bags of concrete will be required to fully fill the space.

Help!! Thank you so much beforehand