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3 years ago

Is Patrick Mahomes the best quarterback in the NFL?

Mathematics

2 answers:

dolphi86 [110]3 years ago

4 0

Answer:

Step-by-step explanation:

mvp

algol [13]3 years ago

4 0

Answer:

B. No

Step-by-step explanation:

There are many opinions about this but i say no.

You need a quarterback that can scramble fast, throw far, and make things happen.

So I say it is (should have mvp) Russell Wilson is the best QB

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A cupcake shop uses 1/3 pounds of cinnamon to make 4 batches. How much do they use per batch?

tiny-mole [99]

1/12 of a pound.
you must use the reciprocal of 4, 1/4, then multiply. so 1/3*1/4= 1/12

5 0

3 years ago

Read 2 more answers

y′′ −y = 0, x0 = 0 Seek power series solutions of the given differential equation about the given point x 0; find the recurrence

sukhopar [10]

Let

$\displaystyle y(x) = \sum_{n=0}^\infty a_nx^n = a_0 + a_1x + a_2x^2 + \cdots$

Differentiating twice gives

$\displaystyle y'(x) = \sum_{n=1}^\infty na_nx^{n-1} = \sum_{n=0}^\infty (n+1) a_{n+1} x^n = a_1 + 2a_2x + 3a_3x^2 + \cdots$

$\displaystyle y''(x) = \sum_{n=2}^\infty n (n-1) a_nx^{n-2} = \sum_{n=0}^\infty (n+2) (n+1) a_{n+2} x^n$

When x = 0, we observe that y(0) = a₀ and y'(0) = a₁ can act as initial conditions.

Substitute these into the given differential equation:

$\displaystyle \sum_{n=0}^\infty (n+2)(n+1) a_{n+2} x^n - \sum_{n=0}^\infty a_nx^n = 0$

$\displaystyle \sum_{n=0}^\infty \bigg((n+2)(n+1) a_{n+2} - a_n\bigg) x^n = 0$

Then the coefficients in the power series solution are governed by the recurrence relation,

$\begin{cases}a_0 = y(0) \\ a_1 = y'(0) \\\\ a_{n+2} = \dfrac{a_n}{(n+2)(n+1)} & \text{for }n\ge0\end{cases}$

Since the n-th coefficient depends on the (n - 2)-th coefficient, we split n into two cases.

• If n is even, then n = 2k for some integer k ≥ 0. Then

$k=0 \implies n=0 \implies a_0 = a_0$

$k=1 \implies n=2 \implies a_2 = \dfrac{a_0}{2\cdot1}$

$k=2 \implies n=4 \implies a_4 = \dfrac{a_2}{4\cdot3} = \dfrac{a_0}{4\cdot3\cdot2\cdot1}$

$k=3 \implies n=6 \implies a_6 = \dfrac{a_4}{6\cdot5} = \dfrac{a_0}{6\cdot5\cdot4\cdot3\cdot2\cdot1}$

It should be easy enough to see that

$a_{n=2k} = \dfrac{a_0}{(2k)!}$

• If n is odd, then n = 2k + 1 for some k ≥ 0. Then

$k = 0 \implies n=1 \implies a_1 = a_1$

$k = 1 \implies n=3 \implies a_3 = \dfrac{a_1}{3\cdot2}$

$k = 2 \implies n=5 \implies a_5 = \dfrac{a_3}{5\cdot4} = \dfrac{a_1}{5\cdot4\cdot3\cdot2}$

$k=3 \implies n=7 \implies a_7=\dfrac{a_5}{7\cdot6} = \dfrac{a_1}{7\cdot6\cdot5\cdot4\cdot3\cdot2}$

so that

$a_{n=2k+1} = \dfrac{a_1}{(2k+1)!}$

So, the overall series solution is

$\displaystyle y(x) = \sum_{n=0}^\infty a_nx^n = \sum_{k=0}^\infty \left(a_{2k}x^{2k} + a_{2k+1}x^{2k+1}\right)$

$\boxed{\displaystyle y(x) = a_0 \sum_{k=0}^\infty \frac{x^{2k}}{(2k)!} + a_1 \sum_{k=0}^\infty \frac{x^{2k+1}}{(2k+1)!}}$

4 0

2 years ago

What is 7.65% of $509.25

harina [27]

Answer:

38.957625 US$

Step-by-step explanation:

38.957625 US$

6 0

3 years ago

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What is the answer to this problem?

leonid [27]

Answer:

Surface area = 24in

Step-by-step explanation:

I think its 6in x 4in

so like since the green cylinder is 6in i think you multiply it with the purple (sorry if I’m wrong)

5 0

2 years ago

Use the function f(x)=2x^3-3x^2+7 to complete the exercises

Anastaziya [24]

To answer this set of questions, all we have to do is just to substitute the value of x in F(x) to the given f(x) equation.

By substitution and following PEMDAS rule:<span>
F(-1)=2(-1)³-3(-1)²+7=5</span>

F(1)=2(1)³-3(1)²+7=6

F(2)=2(2)³-3(2)²+7=11

Therefore the answers are 5, 6 and 11.

8 0

3 years ago

Read 2 more answers