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lapo4ka [179]
3 years ago
12

The final countdown ethan :)(the last questions :o:o)

Mathematics
2 answers:
choli [55]3 years ago
7 0
<span>

<span>1.
Your Final Answer would be: 138
</span></span>
2.) <span>

<span> Final Answer would be: 280

3.) </span></span>
<span><span>Your Final Answer would be: 65

</span></span>4.) <span>

<span>Your Final Answer would be: 80</span></span>
chubhunter [2.5K]3 years ago
3 0
1.) Number of Total Shirts = 460

In Figure 1, Red boxes represent "<span>Short Sleeve shirts" which is 3 in number whereas Blue boxes represent "Long Sleeve shirts".

1 box contains = 460/10 = 46

Number of Short sleeve shirts = 46 * 3 = 138 

<span>In short, Your Final Answer would be: 138
</span></span>
2.) Number of Total Subscribers = 595

In Figure 2, Red boxes represent "<span>Regular subscribers" which is 8 in number whereas Blue boxes represent "Premium subscribers".

1 box contains = 595/17 = 35

Number of regular subscribers = 35 * 8 = 280

<span>In short, Your Final Answer would be: 280

3.) </span></span>Number of Total songs = 91

In Figure 3, Red boxes represent "<span>Liked Songs" which is 5 in number whereas Blue boxes represent "Disliked songs".

1 box contains = 91/7 = 13

Number of Liked Songs = 13 * 5 = 65

<span>In short, Your Final Answer would be: 65

</span></span>4.) Number of Total People = 180

In Figure 4, Red boxes represent "<span>Males" which is 4 in number whereas Blue boxes represent "Females".

1 box contains = 180/9 = 20

Number of Males = 20 * 4 = 80

<span>In short, Your Final Answer would be: 80
</span></span>
Hope this helps!

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Alexeev081 [22]

Answer:

B is the answer to your question!

8 0
3 years ago
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Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y = ta
Irina-Kira [14]

Answer:

The inner function is u = \pi x.

The outer function is f(u) = \tan{u}.

\frac{dy}{dx} = y^{\prime} = \sec^{2}(u)*\pi = \pi\sec^{2}{\pi x}

Step-by-step explanation:

The inner function is the one we apply the outer function to.

So

y = \tan{\pi x}

We apply the outer function tangent to \pi x.

So, the inner function is u = \pi x.

The outer function is f(u) = \tan{u}.

The derivative of a compositve function

y = f(u) in which u = g(x) is given by the following function.

y^{\prime} = f^{\prime}(u)*g^{\prime}(x)

So

f(u) = \tan{u}

f^{\prime}(u) = \sec^{2}{u}

u = g(x) = \pi x

g^{\prime}(x) = \pi

So

y^{\prime} = f^{\prime}(u)*g^{\prime}(x)

\frac{dy}{dx} = y^{\prime} = \sec^{2}(u)*\pi = \pi\sec^{2}{\pi x}

7 0
3 years ago
A four-digit number N leaves a remainder of 10 when divided by 21, a remainder of 11 when divided by 23, and a remainder of 12 w
aksik [14]

Answer:

  16

Step-by-step explanation:

There may be a formal way to solve simultaneous Diophantine equations, but I don't know what it is. So, I addressed this by solving them 2 at a time.

First of all, we want to find a relation between integers p and q such that ...

  21p+10 = 23q +11

  21p -23q = 1 . . . . . . subtract 23q+10

Using the extended Euclidean algorithm or trial and error or astute observation, we find that (p, q) = (11, 10) is a solution to this equation. Then we can write p and q as ...

  • p = 23n+11
  • q = 21n+10

for some integer n.

Then our original numbers become ...

  21p+10 = 21(23n+11)+10 = 483n +241 . . . . for some integer n

For this to be a 4-digit number, we must have n such that

  1000 ≤ 483n +241 ≤ 9999

  1.6 < n < 20.2

__

Modulo 25, the number (483n+241) is ...

  8n +16

and we want that value to be 12:

  (8n +16) mod 25 = 12

  (8n +4) mod 25 = 0 . . . . . subtract 12

  4(2n+1) mod 25 = 0 . . . .  factor out 4

For this to be true, we must have 2n+1 be a multiple of 25. The only value of n that is in the required interval [2, 20] is n=12.

__

When n=12, 483n+241 = 6037. The sum of digits of 6037 is 16.

3 0
3 years ago
The population of rabbits on an island is growing exponentially. In the year 1990, the population of rabbits was 1200, and by 19
kobusy [5.1K]

Answer:

2023 rabbits

Step-by-step explanation:

The exponential model consists of the following expression:

y = A \cdot r^{t}

Where:

A - Initial population.

r - Increase rate.

t - Time

y - Current population.

The initial population and increase rate are, respectively:

1200 = A \cdot r^{0}

A = 1200

1700 = 1200 \cdot r^{4}

r^{4} = \frac{1700}{1200}

r^{4} = \frac{17}{12}

r = \sqrt[4]{\frac{17}{12} }

r \approx 1.091

The exponential model that predicts the population of rabbits is:

y = 1200\cdot 1.091^{t}

Lastly, the expected population for the year 1996 is:

y = 1200\cdot 1.091^{6}

y\approx 2023.624\,rabbits

5 0
4 years ago
Find the orthocenter of the triangle with the given vertices: L(2, 2), M(-4, 2), N(-2, 6) a (-2, 4) b (3, -5) c (2, -4) d (-3, 5
Norma-Jean [14]

9514 1404 393

Answer:

  (a)  (-2, 4)

Step-by-step explanation:

The orthocenter is the point of concurrence of the altitudes of the triangle.

A plot of the triangle vertices shows the triangle to be acute. That means the orthocenter is inside. This eliminates choices B, C, D, which are all points outside the triangle.

__

Conveniently, side LM is horizontal. This means the orthocenter will have the x-coordinate of the vertical line through N, which is -2. Only one answer choice has an x-coordinate of -2:

  a (-2, 4)

8 0
3 years ago
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