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3 years ago

7

Find the median of the following numbers: 26, 18, 28, 26, 14, 20

1 answer:

Lady_Fox [76]3 years ago

5 0

Answer:

23

Step-by-step explanation:

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The larger of two numbers is 4 more than 2 times the smaller number. If the sum of the two numbers is 28, what is the larger num

Musya8 [376]

Answer:

The larger number is 20.

Step-by-step explanation:

Let x and y be the two numbers.

y = 2x + 4

x + y = 28

So x + 2x + 4 = 28

3x = 24

x = 8

y = 20

3 0

3 years ago

Please help me!!! :(

PSYCHO15rus [73]

Answer:

$15.75x^{10}y^{19}$

Step-by-step explanation:

To find the 5th term in the expansion, we first will need to apply the binomial theorem. I have attached an image of the binomial theorem formula due to not being able to type it.

After applying the binomial theorem and simplifying, you should get:

$512x^{18}y^{27}-576x^{16}y^{25}+288x^{14}y^{23}-84x^{12}y^{21}+\frac{63x^{10}y^{19}}{4}-\frac{63x^8y^{17}}{32}+\frac{21x^6y^{15}}{128}-\frac{9x^4y^{13}}{1024}+\frac{9x^2y^{11}}{32768}-\frac{y^9}{262144}$

Our 5th term here is: $\frac{63x^{10}y^{19}}{4}$ which is equal to $15.75x^{10}y^{19}$

~Hope this helps! Sorry if my answer is confusing at all, it's pretty difficult to explain.~

4 0

3 years ago

For which pair of functions is the vertex of k(x)7 units below the vertex of f(x)?

kvv77 [185]

Answer: Option C

$f(x) = x^2;\ k (x) = x ^ 2 -7$

Step-by-step explanation:

Whenever we have a main function f(x) and we want to transform the graph of f(x) by moving it vertically then we apply the transformation:

$k (x) = f (x) + b$

If $b> 0$ then the graph of k(x) will be the graph of f(x) displaced vertically b units down.

If $b> 0$ then the graph of k(x) will be the graph of f(x) displaced vertically b units upwards.

In this case we have

$f (x) = x ^ 2$

We know that this function has its vertex in point (0,0).

Then, to move its vertex 7 units down we apply the transformation:

$k (x) = f (x) - 7\\\\k (x) = x ^ 2 -7$ .

Then the function k(x) that will have its vertex 7 units below f(x) is

$k (x) = x ^ 2 -7$

3 0

3 years ago

Serena has an art easel with sides of equal length. She opened the easel and place it on her desk. Classify the type of triangle

kotegsom [21]

It should be 10 cm thanks

4 0

3 years ago

On the basis of data collected during an experiment, a biologist found that the growth of a fruit fly population (Drosophila) wi

Ket [755]

Answer:

(a). 15

(b). 78

Step-by-step explanation:

Growth of the population of a fruit fly is modeled by

N(t) = $\frac{600}{1+39e^{-0.16t} }$

where t = number of days from the beginning of the experiment.

(a). For t = 0 [Initial population]

N(0) = $\frac{600}{1+39e^{-0.16\times 0} }$

= $\frac{600}{1+39}$

= $\frac{600}{40}$

= 15

Initial population of the fruit flies were 15.

(b).Population of the fruit fly colony on 11th day.

N(11) = $\frac{600}{1+39e^{-0.16\times 11} }$

= $\frac{600}{1+39e^{-1.76} }$

= $\frac{600}{1+39\times 0.172 }$

= $\frac{600}{1+6.71}$

= $\frac{600}{7.71}$

= 77.82

≈ 78

On 11th day number of fruit flies colony were 78.

3 0

4 years ago