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3 years ago

What is the answer in that Equation

Mathematics

1 answer:

yulyashka [42]3 years ago

4 0

$T=2\pi\sqrt{\dfrac{m}{k}}\ \ \ \ \ |divide\ both\ sides\ by\ 2\pi\\\\\sqrt{\dfrac{m}{k}}=\dfrac{T}{2\pi}\ \ \ \ \ \ |square\ both\ sides\\\\\dfrac{m}{k}=\dfrac{T^2}{4\pi^2}\ \ \ \ \ \ |multiply\ both\ sides\ by\ k\neq0\\\\\boxed{m=\dfrac{T^2k}{4\pi^2}}$

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Supplemental Activities - Ch 1

Deffense [45]

x $\geq$ -9; x $\leq$ 6 or in interval notation [-9,6]

To find out what are the steps in solving the below inequality:

Given equation is 2x - 3 > 15

The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.

−15≤2x-3≤15

First, subtract 3 from each segment of the system of equations to isolate the x term while keeping the system balanced:

−15−3≤2x-3−3≤15−3

−18≤2x-6≤12

Now, divide each segment of the system by 2 to solve for x while keeping the system balanced:

$-\frac{18}{2}\leq \frac{2x}{2} \leq \frac{12}{2}$

-9 $\leq$ x $\leq$ 6

x $\geq$ -9; x $\leq$ 6

or in interval notation [-9,6]

on the horizontal axis.

The lines will be a solid line because the inequality operators contain "or equal to" clauses.

We will shade between the lines to show the interval:

Hence the steps to solve an inequality has been show

To learn more about inequalities click here brainly.com/question/24372553

#SPJ9

8 0

1 year ago

You have been assigned to determine whether more people prefer Coke or Pepsi. Assume that roughly half the population prefers Co

Alex Ar [27]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

Step-by-step explanation:

For this case we have the following info given:

$ME=0.03$ the margin of error desired

$Conf= 0.95$ the level of confidence given

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

the critical value for 95% of confidence is $z=1.96$

We can use as estimator for the population of interest $\hat p=0.5$ . And on this case we have that $ME =\pm 0.03$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

3 0

3 years ago

Can you help my sister with fractions while I'm studying. I need to review on my exams

Travka [436]

Answer:

4 + $\frac{1}{2}$ = 4 $\frac{1}{2}$

Step-by-step explanation:

We have 4 whole circles and half a circle so 4 + $\frac{1}{2}$ = 4 $\frac{1}{2}$

3 0

1 year ago

Suma de polinomios de 5×³+3 + 2×³-×²+1 porfavor ayuda

Sidana [21]

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Let's simplify step-by-step.

5x^3 + 3 + 2x^3 − x^2 + 1

= 5x^3 + 3 + 2x^3 + −x^2 + 1

Combine Like Terms:

= 5x^3 + 3 + 2x^3 + −x^2 + 1

= ( 5x^3 + 2x^3 ) + ( −x^2 ) + ( 3 + 1 )

= 7x^3 + −x^2 + 4

Answer:

= 7x^3 − x^2 + 4

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5 0

3 years ago

Find the missing angle measure.<br><br> Need help please!!!

posledela

Answer:

Angles in a pentagon add to 540 degrees.

100+80+160+91+x =540

431+x=540

109=x

Hope this helps!

8 0

2 years ago