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3 years ago

Shane hit the ball 3 out of times. How is this written as a ratio?

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

4 0

Question is incomplete as number of trials isn't given. We'll use an hypothetical value to make x plain the situation

Answer:

Kindly check explanation

Step-by-step explanation:

Given that the number of trials = x

If the number of tines the ball was hit out if 'x' trials = 3

The ratio of the number of hits to the number of trials is written as :

Number of hits : Number of trials

3 : x

Just put the exact value of x in the equation above and if possible, reduce to simplest form.

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4> Solve by using Laplace transform: y'+5y'+4y=0; y(0)=3 y'(o)=o

harina [27]

Answer:

$y=3e^{-4t}$

Step-by-step explanation:

$y''+5y'+4y=0$

Applying the Laplace transform:

$\mathcal{L}[y'']+5\mathcal{L}[y']+4\mathcal{L}[y']=0$

With the formulas:

$\mathcal{L}[y'']=s^2\mathcal{L}[y]-y(0)s-y'(0)$

$\mathcal{L}[y']=s\mathcal{L}[y]-y(0)$

$\mathcal{L}[x]=L$

$s^2L-3s+5sL-3+4L=0$

Solving for $L$

$L(s^2+5s+4)=3s+3$

$L=\frac{3s+3}{s^2+5s+4}$

$L=\frac{3(s+1)}{(s+1)(s+4)}$

$L=\frac3{s+4}$

Apply the inverse Laplace transform with this formula:

$\mathcal{L}^{-1}[\frac1{s-a}]=e^{at}$

$y=3\mathcal{L}^{-1}[\frac1{s+4}]=3e^{-4t}$

7 0

3 years ago

Rewrite the expression in the form 2".<br> E

Vlad [161]

Answer:

z^ {8/5}

Step-by-step explanation:

$(z^{\frac{-4}{3})^{\frac{-6}{5} } \\We\ know\ that\ a^{(b)^c} = a^{bc}\\\\Hence, \\\\{z^{\frac{-4}{3})^{\frac{-6}{5}}\\}={z^{\frac{-4}{3}*\frac{-6}{5}\\}\\=z^{\frac{24}{15}}\\=z^\frac{8}{5}$

6 0

3 years ago

Which statement is TRUE about the best measure of center to use when describing the data set?

Rudik [331]

C because median is all about the middle

5 0

4 years ago

Please help with #19!

ikadub [295]

Answer:

a) yes

b) 2560

Step-by-step explanation:

An exponential function has a common ratio between points uniformly spaced. Here, the data points are 10 years apart.

The ratio of the first two values is 4000/5000 = 0.8.

The ratio of the next two values is 3200/4000 = 0.8.

These ratios are the same, so the data is consistent with an exponential function.

The common ratio can be used to predict the next value. The next value is predicted to be ...

3200 × 0.8 = 2560

8 0

4 years ago

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Verdich [7]

Answer:

A) -18, 3, 24, 45, ... f(1) = -18, f(n) = f(n-1) + 21 for n = 2,3,4,5,...

B) 11, 33, 55, 77, ... f(1) = 11, f(n) = f(n-1) + 22 for n>1

C) -18, -108, -648, -3,888, ... f(1) = -18, f(n) = f(n-1) * 6 for n> 1

Step-by-step explanation:

-18, 3, 24, 45, ...

Let's take look at the possible difference patterns between terms:

-18 -> 3 ==> +21 or /-6

3 -> 24 ==> +21 or *8

We see we have a common pattern possible... +21

Which is confirmed from 24 to 45.

So the function will be f(1) = -18 of course

f(n) = f(n-1) + 21 for n = 2,3,4,5,...

11, 33, 55, 77, ...

Let's take a look at the possible difference patterns here again:

11 --> 33 ==> +22 or *3

33 --> 55 ==> + 22 or *5/3

Again, pattern of +22 confirmed with 55 -> 77

f(1) = 11

f(n) = f(n-1) + 22 for n>1

-18, -108, -648, -3,888, ...

Possible patterns:

-18 --> -108 ==> -90 or *6

-108 --> -648 ==> -540 or *6

Pattern of *6 confirmed with -648 and -3,888.

f(1) = -18

f(n) = f(n-1) * 6 for n > 1

8 0

3 years ago