The product of 5 and b

What are some ways in which you are surrounded by political messages?

stiks02 [169]

life: people tell others all the time how they feelwhethe it is appropriate or not.

7 0

2 years ago

A particle moves so that r(t) = ati + b sin atj. Show that the magnitude of the acceleration of the particle is proportional to

ValentinkaMS [17]

Answer:

Step-by-step explanation:

Given

Position of particle is $r(t)=at\hat{i}+b\sin (at)\hat{j}$

i.e. distance from x axis is $b\sin (at)---1$

Distance from y axis at

velocity is given by $v=\frac{\mathrm{d} r}{\mathrm{d} t}$

$v=a\hat{i}+ba\cos (at)\hat{j}$

Similarly acceleration is given by

$a=\frac{\mathrm{d} v}{\mathrm{d} t}$

$a=0\hat{i}-a^2b\sin (at)\hat{j}$

Magnitude of acceleration is $=\sqrt{(-a^2b\sin (at))^2}$

$=a^2b\sin (at)----2$

From 1 and 2 we can see that

Magnitude of acceleration is proportional to distance from x axis

$a\propto distance\ from\ x-axis$

5 0

3 years ago

Read 2 more answers

write an equation in slope-intercept form of the line that passes through the given point and given slope, (-5,-3);slope =-3/5

arsen [322]

Answer:

y= $\frac{-3}{5}x-6$

Step-by-step explanation:

Hi there!

We are given the point (-5, -3), and a slope of -3/5

We want to write the equation of the line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope, and b is the y intercept

As we are already given the slope, we can immediately plug it into the equation

y= $\frac{-3}{5}x$ +b

We need to find b, though

We can use (-5, -3) to help us, as the equation will pass through that line

Substitute the value of x as -5 and the value of y as -3 to solve for b

-3= $\frac{-3}{5}*-5+b$

Now, on the right, multiply -3/5 and 5 together

-3=3+b

Subtract 3 from both sides

-6=b

Substitute 6 as b in the equation

y= $\frac{-3}{5}x$ -6

Hope this helps!

4 0

3 years ago

The demand equation for a manufacturer's product is:

Juli2301 [7.4K]

From the given price function, we have;

(a) $\frac{dp}{dq} = - 13$

(b) The point elasticity of demand is 0.0256; inelastic demand

(c) $46.6

(d) Increase

<h3>How can the elasticity of demand be found?</h3>

a. The given function is presented as follows;

$p = 50 \times (151 - q) ^{0.02 \times \sqrt{q + 19} }$

Differentiating the above function with a graphing calculator and setting q = 150 gives;

$\frac{dp}{dq} = - 13$

b. The point elasticity of demand is given by the formula;

$e \: = \frac{dq}{dp} \times \frac{p}{q}$

When q = 150, we have;

P = 50

Which gives;

$e \: = \frac{1}{13} \times \frac{50}{150} = 0.0256$

The point elasticity of demand, E = 0.0256

The demand is inelastic (less than 1) when the quantity demanded is 150 units

c. If the quantity demanded decreases from 150 to 140 units, we have;

$0.0256 \: = \frac{1}{13} \times \frac{p}{140} =$

Which gives;

p = 46.6

The price when the quantity demanded decreases to 140 is $46.6

d. Given that increase in price, from 46.6 to 50, increases the quantity demanded from 140 to 150, therefore;

The manufacturer should increase the price, p to increase the revenue, R.

R = p × q

Learn more about elasticity of demand here;

brainly.com/question/19141990

3 0

2 years ago

In a cross between two individuals who are heterozygous for two traits determined by dominant and recessive alleles (Aa Bb), wha

cricket20 [7]

Answer: A

Step-by-step explanation:

4 0

3 years ago