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baherus [9]
3 years ago
5

Write the product in simplest form: 3w^4 * (-5w^2)

Mathematics
1 answer:
Grace [21]3 years ago
5 0

3w^{4} (-5w^{2} ) = -15w^{6}

I think this is what you want? When multiplying with exponents, you either add or multiply the exponents.

When you multiply the exponent:

(x²)³ = x^{6}

(3x^{4} )^{2} = 9x^{8}

When you add the exponents:

(x²)(x³) = x^{5}

(x²)(x²) = x^{4}

(x^{4} )(x^{3} ) = x^{7}

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Peyton needed to get her computer fixed. She took it to the repair store. The
Lelu [443]

Answer:

The cost of labor per hour is $105.

The expression is 4x + 77 = 497

Step-by-step explanation:

The expression is 4x + 77 = 497, where 4x represents the cost of labor per hour, 77 is the cost of the parts, and 497 is the total.

4x + 77 = 497

4x + 77 - 77 = 497 -77

4x = 420

4x/4=420/4

x = 105

5 0
3 years ago
According to a random sample taken at 12 A.M., body temperatures of healthy adults have a bell-shaped distribution with a mean o
Katarina [22]

Chebyshev’s Theorem establishes that at least 1 - 1/k²  of the population lie among k standard deviations from the mean.

This means that for k = 2,  1 - 1/4 = 0.75. In other words, 75% of the total population would be the percentage of healthy adults with body temperatures that are within 2standard deviations of the mean.

The maximum value of that range would be simply  μ + 2s, where μ is the mean and s the standard deviation. In the same way, the minimum value would be μ - 2s:

maximum = μ + 2s = 98.16˚F + 2*0.56˚F = 99.28˚F

minimum = μ - 2s = 98.16˚F - 2*0.56˚F  = 97.04˚F

In summary, at least 75% of the amount of healthy adults have a body temperature within 2 standard deviations of 98.16˚F, that is to say, a body temperature between 97.04˚F and 99.28˚F.

5 0
3 years ago
What are the zeros of the function g(x) = (x + 6) (x – 4)(x + 2) ?
vitfil [10]

9514 1404 393

Answer:

  x in {-6, -2, 4}

Step-by-step explanation:

The zero product rule tells you that a product will be zero if and only if one of the factors is zero. These binomial factors are zero when x has a value that is opposite the constant of the binomial.

  x +6 = 0   ⇒   x = -6

  x -4 = 0   ⇒   x = 4

  x +2 = 0   ⇒   x = -2

The zeros of the function are the x-values -6, -2, and 4.

5 0
3 years ago
(2y + 9)(3y - 1) = 5y2 + 25y - 9
Vikki [24]

Answer:

y1= 0, y2= 5/3

Step-by-step explanation:

Remove the parentheses and multiply

then cancel the equal terms

collect the lie terms

move the variables to one side

divide both sides by two

split into possible cases

then solve the equation to get

y= 0 and

y= 5/3

7 0
2 years ago
Is 2.6 bigger than 2.661
Sauron [17]
2.6 = 2.600
So, 2.6 is not bigger than 2.661
3 0
3 years ago
Read 2 more answers
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