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3 years ago

Geometric mean between 1/4 and 80 please answer

Mathematics

1 answer:

Minchanka [31]3 years ago

3 0

Answer:

Geometric mean: 6.8399037867068

Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=f%28x%29%3D16t%5E2%2B32t" id="TexFormula1" title="f(x)=16t^2+32t" alt="f(x)=16t^2+32t" align="

Nataly_w [17]

Answer:

- time = 1second

- maximum height = 16m

Step-by-step explanation:

Given the height of a pumpkin t seconds after it is launched from a catapult modelled by the equation

f(t)=-16t²+32t... (1)

The pumpkin reaches its maximum height when the velocity is zero.

Velocity = {d(f(x)}/dt = -32t+32

Since v = 0m/s (at maximum height)

-32t+32 = 0

-32t = -32

t = -32/-32

t = 1sec

The pumpkin reaches its maximum height after 1second.

Maximum height of the pumpkin is gotten by substituting t = 1sec into equation (1)

f(1) = -16(1)²+32(1)

f(1) = -16+32

f(1) = 16m

The maximum height of the pumpkin is 16m

6 0

3 years ago

Find the probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a 0 b

jeka94

Answer:

Step-by-step explanation:

From the given information; Let's assume that R should represent the set of all possible outcomes generated from a bit string of length 10 .

So; as each place is fitted with either 0 or 1

$\mathbf{|R|= 2^{10}}$

Similarly; the event E signifies the randomly generated bit string of length 10 does not contain a 0

Now;

if a 0 bit and a 1 bit are equally likely

The probability that a randomly generated bit string of length 10 does not contain a 0 if bits are independent and if a 0 bit and a 1 bit are equally likely is;

$\mathbf{P(E) = \dfrac{|E|}{|R|}}$

so ; if bits string should not contain a 0 and all other places should be occupied by 1; Then:

$\mathbf{{|E|}=1 }$ ; $\mathbf{|R|= 2^{10}}$

$\mathbf{P(E) = \dfrac{1}{2^{10}}}$

4 0

2 years ago

What is the linear equation 1-3y=4

TEA [102]

1-3y = 4

3у=1-4

3у=-3

У=-1.

6 0

2 years ago

Which value for X makes the sentence true 1/8 X equals 1/3

Licemer1 [7]

Answer:

x = 2 2/3

Step-by-step explanation:

(1/3)/(1/8) = 2 2/3

6 0

2 years ago

A recipe uses 2 cups of flour to make 18 cupcakes. How much flour is needed to make 27 cupcakes?

drek231 [11]

Answer:

3 cups

Step-by-step explanation:

we can solve this by setting up ratios

$\frac{2 cups}{18 cupcakes} = \frac{x}{27 cupcakes}$

cross multiply:

$(2)(27) = 18x$

$54 = 18x$

solve for x

$x = 3 cups$

7 0

3 years ago

Geometric mean between 1/4 and 80 please answer​

Geometric mean between 1/4 and 80 please answer