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2 years ago

Derivative f(x) = arcsin (2x-1)

Mathematics

1 answer:

sattari [20]2 years ago

5 0

Answer:

x= 1/2

Step by Step explanation:

1- Substitute f (x) = 0

2- Determine the defined range

3- Swap the sides

4- Use the inverse trigonometric function

5- Evaluate the expression

6- Move the constant to the right

7- Divide both sides

8- Check the solution

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What is 5X minus Y equals 6+ negative 2X plus Y=8

vova2212 [387]

Answer:

For the given expression: $X = (\frac{10}{3}) , Y = (\frac{26}{3})$

Step-by-step explanation:

Here, the given expression in statement form is given as:

5 X minus Y equals 6 + negative 2 X plus Y = 8

Now, converting the given statement mathematically, we get:

5X - Y = 6 + (-2X) + Y = 8

Now, considering first and the last terms,we get:

5 X - Y = 8 .... (1)

and , considering second and the last terms,we get:

6 + (-2X) + Y = 8 or, -2X + Y = 2 ......... (2)

Adding (1) and (2) , we get:

5 X - Y - 2 X + Y = 8 + 2

or, 3 X = 10

or, X = 10/3 = 3.34

Now, 5X - Y = 8

or, $5(\frac{10}{3}) - Y = 8\\ \implies Y = \frac{50}{3} - 8 = \frac{50 - 24}{3} = \frac{26}{3} \\\implies Y = \frac{26}{3}$

Hence, for the given expression:

$X = (\frac{10}{3}) , Y = (\frac{26}{3})$

3 0

3 years ago

Find the volume of the cone shown as a decimal rounded to the tenth. 22m 12m

Luda [366]

Answer:

Step-by-step explanation:

the volume (V) of a cone is calculated as

V = $\frac{1}{3}$ πr²h ( r is the radius , h is the height )

here diameter = 12 , so r = 12 ÷ 2 = 6 and h = 22 , then

V = $\frac{1}{3}$ π × 6² × 22

= $\frac{1}{3}$ π × 36 × 22

= $\frac{1}{3}$ π × 792 ( cancel 3 and 792 by 3 )

= π × 264

≈ 829.4 m³ ( to the nearest tenth )

3 0

2 years ago

A researcher is planning to compare the effects of two different types of lights on the growth of bean plants. She expects that

kicyunya [14]

Answer:

The sample size is $n = 36$

Step-by-step explanation:

From the question we are told that

The sample standard deviation is $s = 1.5$

The mean difference of the two groups is $\=x _ 1 - \=x_2 = 1$

The standard error is $SE = \frac{ \= x_1 - \= x_2}{4}$

=> $SE = \frac{1}{4}$

Let assume that the confidence level is 95% hence the level of significance is

$\alpha = (100-95)\%$

=> $\alpha = 0.05$

So the critical value of $\frac{\alpha }{2}$ obtained from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically evaluated as

$E = Z_{\frac{\alpha }{2} } * SE$

$E = 1.96 * \frac{1}{4}$

$E = 0.49$

Generally the sample size is mathematically represented as

$n =[ \frac{Z_{\frac{\alpha }{2} * s^2}}{E}]^2$

=> $n = [\frac{1.96 * 1.5}{0.49} ]^2$

=> $n = 36$

6 0

3 years ago

Describe the rotational symmetry or symmetries of the figure.

kvv77 [185]

Answer:

A) 180º

Step-by-step explanation:

i wont be symmetric at 90º or 270º or 120º or 240º. and it has rotational symmetry

3 0

2 years ago

7 cards are drawn from a standard deck of 52 cards. How many different 7-cars hands are possible if the drawing is done without

adell [148]

Answer:

5040

Step-by-step explanation:

every card in a 52 deck, is unique, and there are 7 cards drawn, without replacement, so your answer is 7!, 7! = 7*6*5*4*3*2*1=5040

5 0

3 years ago