Please help me with this. 5 star to the best.

Mathematics

1 answer:

sergij07 [2.7K]3 years ago

7 0

Answer:

141.37 cm^3

Step-by-step explanation:

The volume of the hemisphere is 56.55 and the volume of the cone is 84.82. add them

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Barney is eight years older than Nemo. In seven years the sum of their ages will be 46. How old is Barney now?.

olga55 [171]

Let's represent Nemo's age with an n.

Barney is 8 years older so his age is nemo's plus 8. That is, Barney's age is n + 8

In seven years they will each be the age they are now plus 7. So, Nemo will be n + 7 and Barney will be n + 8 + 7. If the sum of their ages will be 46 we know that when we add these expressions we should get 46, so let's set the sum to 46 and solve for n.

n + 7 + n + 8 + 7 = 46
2n + 22 = 46
2n = 46 - 22
2n = 24
n = 12

That means that Nemo's age is 12.
Since Barney is 8 years older his age is 12 + 8 = 20.

To check our work we see that in 7 years Nemo will be 12 + 7 = 19 and Barney will be 20 + 7 = 27. Together that is 19 +27 = 46 as expected.

6 0

4 years ago

Let f (x) be a polynomial function with a zero of multiplicity of 1 at 2 and a zero of multiplicity of 2 at 1. Let g(x) be the r

Stella [2.4K]

The polynomial functions in their expanded form is given as follows. It is right to state that there are no breaks in the domain of h(x).

<h3>

What is a polynomial function?</h3>

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable.

For instance, the polynomial 3x+4 has an exponent of 1.

Part A: F(x) has zero at 2 and multiplicity of 1; and

1 at the multiplicity of 2

f(x) = x-2) (x-1)²

= (x-2) (x² - 2x + 1)

= x³ - 4x² + 5x -2

Part B: h (x) = $\left \{ {{x^3 -4x^2 + 5x -2; X < 0} \atop {\sqrt[3]{x-2} ; X\geq 0 }} \right.$