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4 years ago

As a monomial, the number 3 has what degree?

Mathematics

1 answer:

garri49 [273]4 years ago

6 0

Answer:

The number "3" alone has the degree of 0.

Step-by-step explanation:

This is because when looking at algebraic expression, we look at the exponent of the highest variable. In this case there isn't one. This is the same

as saying a degree of 0, because a variable to the power of zero(unless it has the value of 0) is 1.

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Which equation is the inverse of 2(x - 2)^3=8(7+y)

irina1246 [14]

Answer:

$\large\boxed{y=2\pm\sqrt{28+4x}}$

Step-by-step explanation:

$2(x-2)^2=8(7+y)\\\\\text{exchange x to y, and vice versa:}\\\\2(y-2)^2=8(7+x)\\\\\text{solve for y:}\\\\2(y-2)^2=(8)(7)+(8)(x)\\\\2(y-2)^2=56+8x\qquad\text{divide both sides by 2}\\\\(y-2)^2=28+4x\iff y-2=\pm\sqrt{28+4x}\qquad\text{add 2 to both sides}\\\\y=2\pm\sqrt{28+4x}$

6 0

3 years ago

Read 2 more answers

Mason claims that y= 3 x2 -6 is a function, but not a linear one. Select the statement that supports Mason's claim.

denpristay [2]

Answer:

D. The function does not contain the point (0,0).

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A sphere has a surface area of about 999 square millimeters. What is the radius, in millimeters, of the sphere

motikmotik

Given that, a sphere has a surface area of about 999 square millimeters.

Formula to find the surface area of sphere is,

S= 4πr² Where r = radius of the sphere and S= surface area.

Given S= 999 square millimeters.

So, we can write:

4πr² = 999

4 * 3.14 * r² = 999 Since, π = 3.14

12.56 *r² = 999

$r^2=\frac{999}{12.56}$ Divide each sides by 12.56.

r² = 79.53821656

r = √79.53821656 Taking square root to each sides of equation.

r = 8.918420071

So, r = 8.918 Rounded to nearest thousandth.

So, radius of the sphere is 8.918 millimeters.

Hope this helps you!

5 0

3 years ago

Simplify expression with rational exponents.

musickatia [10]

27^(4/3)+4^(3/2) can be simplified using roots.

The cube root of 27 is 3 and the square root of 4 is 2. This removes the denominators from the expression. The expression is now 3^4+2^3.

Simplify this and you get 81+8=89

5 0

3 years ago

A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed to contain 300 milliliters

PilotLPTM [1.2K]

Answer:

e. 0.0072

Step-by-step explanation:

We are given that a bottling company uses a filling machine to fill plastic bottles with cola. And the contents vary according to a Normal distribution with Mean, μ = 298 ml and Standard deviation, σ = 3 ml .

Let Z = $\frac{Xbar - \mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1) where, Xbar = mean contents of six randomly

selected bottles

n = sample size i.e. 6

So, Probability that the mean contents of six randomly selected bottles is less than 295 ml is given by, P(Xbar < 295)

P(Xbar < 295) = P( $\frac{Xbar - \mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{295 - 298}{\frac{3}{\sqrt{6} } }$ ) = P(Z < -2.45) = P(Z > 2.45)

Now, using z% score table we find that P(Z > 2.45) = 0.00715 ≈ 0.0072 .

Therefore, option e is correct .

7 0

4 years ago