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r-ruslan [8.4K]

4 years ago

7

. A team of divers assembles at an elevation of -10ft relative to the surface of the water. Then the team dives at a rate of -50

ft/min. Write a rule that represents the team's depth d as a function of time t.

1 answer:

stira [4]4 years ago

8 0

What you would do is divide -50 by -10 and turn it into a positive, and remember what you do to one side you have to do to the other

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Cos (a + 60 ) + Cos (a-60)

Nadusha1986 [10]

Answer:

the answer is 0.9988747935

hope that works!!

8 0

3 years ago

A particular telephone number is used to receive both voice calls and fax messages. suppose that 20% of the incoming calls invol

Phoenix [80]

Answer:

0.1091 or 10.91%

Step-by-step explanation:

We have been given that a particular telephone number is used to receive both voice calls and fax messages. suppose that 20% of the incoming calls involve fax messages and consider a sample of 20 calls. We are asked to find the probability that exactly 6 of the calls involve a fax message.

We will use Bernoulli's trials to solve our given problem.

$P(X=x)=^nC_x\cdot P^x(1-P)^{n-x}$

$P(X=6)=^{20}C_6\cdot (0.20)^6(1-0.20)^{20-6}$

$P(X=6)=\frac{20!}{6!(20-6)!}\cdot (0.20)^6(0.80)^{14}$

$P(X=6)=\frac{20!}{6!(14)!}\cdot (0.000064)(0.04398046511104)$

$P(X=6)=38760\cdot (0.000064)(0.04398046511104)$

$P(X=6)=0.1090997009730$

$P(X=6)\approx 0.1091\\$

Therefore, the probability that exactly 6 of the calls involve a fax message would be approximately 0.1091 or 10.91%.

4 0

3 years ago

How do i quit branily

Andre45 [30]

Answer:

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Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Help please and show the steps! thank you!

san4es73 [151]

Answer:

#1. x = -1

Answer = 8

#2. x = 1/5

Answer = 344/25

#3. x = 14

Answer = 13328

Step-by-step explanation:

#1. a. plug in -1

f(-1)= (5(-1)^3) - (2(-1)^2 - (-1) + 14

b. Solve the exponents.

(5(-1)^3)

(5x-1)

(-5) - (2(-1)^2) - (-1) + 14

(2(-1)^2)

(2x1)

(-5) - (2) - (-1) +14

c. simplify.

(-5) - (2) + 1 + 14

-7 + 15

8

#2.

f(1/5)= (5(1/5)^3) - (2(1/5)^2 - (1/5) + 14

(5(1/5)^3)

(5 x 1/125)

(1/25) - (2(1/5)^2)

(2 x 1/25)

(2/25)

(1/25) - (2/25) - (1/5) +14

(-1/25) - (1/5) +14

Note: (1/5) turns into (5/25) so it can be subtracted.

-6/25 + 14

Note: 14 turns into 350/25 so it can be added.

350/25 - 6/25 = 344/25

#3.

f(14)= (5(14)^3) - (2(14)^2 - (14) + 14

Note: Normally you do the exponents first but I'm just going to casually take out the two 14s at the end cause they cancel each other out.

f(14)= (5(14)^3) - (2(14)^2)

( 5 (14^3))

(5 x 2744)

(13720) - (2(14^2))

(2 (14^2))

(2x196)

392

(13720) - 392

13328

Good Luck!

3 0

3 years ago

WILL GIVE BRAINLIEST AND 25 POINTS! Which of the following statements are true? Check all that apply. A. If any row of a square

sertanlavr [38]

Answer:

Option A, B and E

Step-by-step explanation:

Determinant = ad-bc

Let's look at the picture and solve all

<u><em>Option A)</em></u>

If the row ( c and d ) is zero, the determinant will be zero

=> a(0)-b(0)

=> 0-0

=> 0 (So, True)

<u><em>Option B) </em></u>

If a = b = c = d (Let's say 1), the determinant will be

=> (1)(1)-(1)(1)

=> 1-1

=> 0 (So, True)

<u><em>Option C)</em></u>

An Identity matrix is

=> $\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]$

So , it's determinant will be

=> (1)(1)-(0)(0)

=> 1-0

=> 1 (So, False)

<u><em>Option D)</em></u>

The determinant with matrix will all positive numbers can be negative as well as positive. This is not necessary that it would be positive. (So, False)

<u><em>Option E)</em></u>

A zero matrix is

=> $\left[\begin{array}{ccc}0&0\\0&0\end{array}\right]$

So, it's determinant is:

=> (0)(0)-(0)(0)

=> 0-0

=> 0 (So,True)

5 0

3 years ago