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Andru [333]
3 years ago
5

35 POINTS - question 31 please!

Mathematics
1 answer:
ryzh [129]3 years ago
5 0

Area is Length x width:

(2x+5) * x = 420

Distributive property:

2x^2 +5x = 420

Subtract 420 from both sides:

2x^2 + 5x - 420 = 0

Using the quadratic formula:

a = 2, b = 5, c = -420:

-5 +/ √5^2 -4*(2*-420) / 2*2

x = 13.2951

Rounded to the nearest hundredth = 13.30 inches.

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What is 246 gallons/minute converted to liters/second<br> show work pleaseee
marissa [1.9K]

Answer: The answer to this question is 15.53lt/sec.

Step-by-step explanation: 1 liter is equal to 0.264gallons

1 minutes is equal to 60 seconds.

To convert we have to multiply 246gal/min by 1min/60sec then by 1lt/0.264gal to get the answer in lt/s

Where the answer is 15.53lt/s

6 0
3 years ago
Graph the inverse circular function by hand, given f(x) = 3sin(2x) ;-pi/4 ≤ ≤pi/4
nasty-shy [4]

Part a)

a) The given function is

f(x) = 3 \sin(2x)

We let

y =  3 \sin(2x)

Interchange x and y.

x=  3 \sin(2y)

Solve for y;

\frac{x}{3}  =  \sin(2y)

y =  \frac{1}{2}  { \sin}^{ - 1}( \frac{x}{3} )

{f}^{ - 1}(x)  =  \frac{1}{2}  { \sin}^{ - 1}( \frac{x}{3} )

Part b) The range of f(x) refers to y-values for which f(x) exists.

The range of f(x) is

-  3 \leqslant y \leqslant 3

This is because the function is within y=-3 and y=3.

c) The range of

{f}^{ - 1} (x)

is

-  \frac{ \pi}{4}  \leqslant y \leqslant  \frac{\pi}{4}

The domain is -3≤x≤3

This is because the domain and range of a function and its inverse swaps.

Part d) The graph is shown in the attachment.

3 0
3 years ago
What is 6 times what equals 546?
ki77a [65]
546 divide by 6 = 91 so 91 times 6 = 546 
3 0
3 years ago
Need help solving these 3 equations, please help.
pantera1 [17]
1.) r=-1/3
2.) x=-33/29
3.) x=-4/5 x=2/5
3 0
3 years ago
Sawyer conducted an experiment in which he rolled a number cube 50 times. He rolled the number 3 a total of seven times. Based o
lawyer [7]

If the number of trials is 50. Then the probability that he will not roll a 3 on his next roll will be 0.20 or 20 %.

<h3>How to find that a given condition can be modeled by binomial distribution?</h3>

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

 

The probability that out of n trials, there'd be x successes is given by

P(X = x) = ⁿCₓ pˣ (1 - p)ⁿ ⁻ ˣ

Sawyer conducted an experiment in which he rolled a number cube 50 times. He rolled the number 3 a total of seven times.

Then the probability that he will not roll a 3 on his next roll will be

p = 1/6 = 0.1667

q = 1 - p = 1 - 1/6 = 0.8333

Then the probability will be

P = ⁵⁰C₇ (0.8333)⁴¹ (0.1667)⁷

P = 0.20

Learn more about binomial distribution here:

brainly.com/question/13609688

#SPJ1

7 0
2 years ago
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