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Greeley [361]
3 years ago
8

Help 1000 points i will give you more this question is hard

Mathematics
2 answers:
AlexFokin [52]3 years ago
5 0

Answer:

H) 2

Step-by-step explanation:

\frac {\sqrt {1 - \cos^{2}x}}{\sin x} + \frac {\sqrt {1 - \sin^{2}x}}{\cos x}

=  \frac {\sin x}{\sin x} + \frac {\cos x}{\cos x}  [since 0 < x < (π/2) and \sin^{2}x + \cos^{2}x = 1]

= (1 + 1)

= 2  

We know that in general,

by \sqrt {x} we mean the positive square root of x only.

mars1129 [50]3 years ago
5 0

Answer:

K. H. and J.

Step-by-step explanation:

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Please help meeeee ASAP
dimaraw [331]

The correct answer is 3 inches squared.

8 0
3 years ago
Read 2 more answers
In a spreadsheet, you can use the function NORM.DIST(upper bound, μ, σ, TRUE) to find the area under a normal curve for values o
Mars2501 [29]

Given Information:

Mean height of children = μ = 41 inches

Standard deviation of height of children = σ = 4 inches

Required Information:

Using Excel find P(x > 34) = ?

Answer:

P(x > 34) = 95.99%

Explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.  

The Microsoft Excel has a built-in function "NORMDIST" which calculates the probability of a normal distribution.

Syntax:

NORMDIST(x, mean, standard deviation, cumulative flag)  

Where x is the variable of interest

Cumulative flag = TRUE or FALSE

The probability that a randomly chosen child is greater than 34 inches tall is given by

P(x > 34) = 1 - P(x < 34)

Using MS Excel,

P(x > 34) = 1 - NORM.DIST(34,41,4,TRUE)

Which return the probability of

P(x > 34) = 1 - 0.040059

P(x > 34) = 0.959941

P(x > 34) = 95.99%

Therefore, there is 95.99% probability that a randomly chosen child is greater than 34 inches tall.

6 0
3 years ago
Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation
Vadim26 [7]

Answer: 250=70x+50

Step-by-step explanation:

250 being the total would go at the equal sign

250=

And since it says 70 Per car that means it would be 70x so

250=70x

50 dollars in tips is a total so

250=70x+50 is your equation

3 0
3 years ago
Read 2 more answers
Suppose that a spherical droplet of liquid evaporates at a rate that is proportional to its surface area: where V = volume (mm3
Alex

Answer:

V = 20.2969 mm^3 @ t = 10

r = 1.692 mm @ t = 10

Step-by-step explanation:

The solution to the first order ordinary differential equation:

\frac{dV}{dt} = -kA

Using Euler's method

\frac{dVi}{dt} = -k *4pi*r^2_{i} = -k *4pi*(\frac {3 V_{i} }{4pi})^(2/3)\\ V_{i+1} = V'_{i} *h + V_{i}    \\

Where initial droplet volume is:

V(0) = \frac{4pi}{3} * r(0)^3 =  \frac{4pi}{3} * 2.5^3 = 65.45 mm^3

Hence, the iterative solution will be as next:

  • i = 1, ti = 0, Vi = 65.45

V'_{i}  = -k *4pi*(\frac{3*65.45}{4pi})^(2/3)  = -6.283\\V_{i+1} = 65.45-6.283*0.25 = 63.88

  • i = 2, ti = 0.5, Vi = 63.88

V'_{i}  = -k *4pi*(\frac{3*63.88}{4pi})^(2/3)  = -6.182\\V_{i+1} = 63.88-6.182*0.25 = 62.33

  • i = 3, ti = 1, Vi = 62.33

V'_{i}  = -k *4pi*(\frac{3*62.33}{4pi})^(2/3)  = -6.082\\V_{i+1} = 62.33-6.082*0.25 = 60.813

We compute the next iterations in MATLAB (see attachment)

Volume @ t = 10 is = 20.2969

The droplet radius at t=10 mins

r(10) = (\frac{3*20.2969}{4pi})^(2/3) = 1.692 mm\\

The average change of droplet radius with time is:

Δr/Δt = \frac{r(10) - r(0)}{10-0} = \frac{1.692 - 2.5}{10} = -0.0808 mm/min

The value of the evaporation rate is close the value of k = 0.08 mm/min

Hence, the results are accurate and consistent!

5 0
3 years ago
In parallelogram IFGH, mF = (x + 20° and mi<br> (4x – 10)<br> Find the value of x.
sveta [45]

Answer:

x = 34

Step-by-step explanation:

4x - 10 + x + 20 = 180

5x + 10 = 180

5x = 170

x = 34

6 0
3 years ago
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