A company designs microphones for use in conference rooms. A new microphone needs to focus on the person speaking and not the voices of other people in the room. Which polar equation would best match the desired audible range of the microphone?

r = 3
r = 3cos(2θ)
r = 3cos(3θ)
r = 3 + 3cos(θ)

Answer:

[tex]y=-\frac{2}{5}x-3[/tex]

Step-by-step explanation:

First, you must find the midpoint of the segment, the formula for which is [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]. This gives you (-5,-1) as the midpoint. This is the point at which the segment will be bisected.

Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex], which gives us a slope of [tex]\frac{5}{2}[/tex].

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of [tex]\frac{5}{2}[/tex] is [tex]-\frac{2}{5}[/tex].

We now know that the perpendicular travels through the point (-5,-1) and has a slope of [tex]-\frac{2}{5}[/tex].

Solve for [tex]b[/tex] in [tex]y=mx+b[/tex].

[tex]y=mx+b\\-1=-\frac{2}{5}(-5)+b\\-1=2+b\\-3=b\\b=-3[/tex]

Therefore, the equation of the perpendicular bisector is  [tex]y=-\frac{2}{5}x-3[/tex].

Answer:

She's right, praise jeebus :3

Step-by-step explanation:

Answer:

The interest earned in 9 months is $25.45284

Step-by-step explanation:

The interest rate given by the bank = 4%

The rate at which the interest is applied = Quarterly

The amount of money deposited = $840

The formula for compound interest is given as follows;

[tex]Compound \ interest = P \times \left [ \left(1 + \dfrac{r}{n} \right )^{t \times n} - 1\right ][/tex]

Where;

P = The principal = $840

r = The rate = 4% = 0.04

n = The number of times the interest is compounded per period  = quarterly = 4

t = The time duration in period = 9 months = 3/4 × 1 year

Substituting the values gives the Compound interest C.I. as follows;

[tex]C.I. = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{\dfrac{3}{4} \times 3} - 1\right ] = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{ 3} - 1\right ] = \$ 25.45284[/tex]

The interest earned in 9 months = $25.45284.

Answer:

4

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

10+12=22

=22^2

=484

Answer:

I believe the answer is C or D.

Step-by-step explanation:

Answer: Please provide statements.

Step-by-step explanation:

Answer:

The maximum is (-1, 6).

The line of symmetry is x = -1.

Step-by-step explanation:

those two

Answer:

Step-by-step explanation:

Given

Distance covered by the bird = 400km

Time taken = 8 hours

Using the formula;

Speed = Distance/Time

S = d/t

Find the speed first:

S = 400km/8hr

S = 50km/hr

Substitute back into the formula:

S = d/t

50 = d/t

50t = d

d = 50t

This means that the distance d is directly proportional to the time with 50 as the constant of proportionality.

Hence the constant of proportionality for the relationship between distance in kilometers is 50.

Answer:

When two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.

Step-by-step explanation:

i did it

Answer:

Name: alternate exterior angles

Relationship: they are congruent. (15x + 5)° = (14x + 11)

Value of x: 6

Missing angle measures: 95°

Answer:

It's the bottom one.

Step-by-step explanation:

number one makes no snese because inside of you there is no light

number two, heat and thermal are the same thing

number three, there isn't really potential energy inside you, not in the process of the energy transformation of food.

The bottom one makes the most sense because if you think about all of the steps, it goes chemical (stomach acid), there is also some heat in there, and then mechanical when the food moves from place to place

Answer:

The answer is D

Step-by-step explanation:

Answer:

The angle of CAD is 100°.

Step-by-step explanation:

Given that total angles in a triangle is 180° so you will have to find the angle of CAB :

∠CAB + ∠ACB + ∠ABC = 180°

∠CAB + 80° + 20° = 180°

∠CAB + 100° = 180°

∠CAB = 180° - 100°

∠CAB = 80°

Next, you have to subtract it from 180° because straight line have a degree of 180°

∠CAD = 180° - 80°

∠CAD = 100°

Answer:

20

Step-by-step explanation:

(4-1 + 8 ÷ 8 )= 4

4 x 5 = 20

A. The waiter earns $25 an hour

Answer:

1. false

2.true

3.false

4. true

Step-by-step explanation:

Answer: The length of JF = 16 units.

Step-by-step explanation:

Given: In triangle DEF, segment DJ is a perpendicular bisector of side EF.

i.e. DJ is perpendicular to EF and DJ divides EF into two equal parts EJ and JF. [The perpendicular bisector is a line that is perpendicular to a line segment and splits it into two congruent segments.]

If  EJ is 3y-8 and JF is 7y-40.

Then, [tex]3y-8=7y-40[/tex]

[tex]\Rightarrow\ 7y-3y=40-8\\\\\Rightarrow\ 4y=32\\\\\Rightarrow\ y=8 \text{ [Divide both sides by 4]}[/tex]

JF= 7(8)-40 =56-40= 16 units

Hence, the length of JF = 16 units.

Answer:

plz giv brainlist

Step-by-step explanation:

Answer: $15.6

Step-by-step explanation:

Sanita pays $63 for 5 posters that are $3 off each, if you divide 63 by 5 you will get $12.6, so you have to add $3 to $12.6 to get 15.6 which was the original price of one poster.

The regular price of one poster $15.6

Sanita pays $63 for 5 posters that are $3 off each.

Regular price means the price at which similar goods or services are regularly sold on the market.

If she divide 63 by 5 she will get $12.6

Therefore  we have to add $3 to $12.6 to get 15.6

It was the original price of one poster.

To learn more about the pirce visit:

https://brainly.com/question/1153322

Answer:

shhshshshs

hshdhsnsnjsjdje

Step-by-step explanation:

bshsjsnsjjsusjsjsjs

Answer: [tex]-4 * (n+3) \geq 28[/tex]

Step-by-step explanation:

Negative four -> [tex]-4[/tex]

Times the sum of a number and 3 -> [tex]-4 * (n + 3)[/tex]

Is at least 28 -> [tex]-4 * (n+3) \geq 28[/tex]

Answer:

It would be r= 0.9974.

The closer the r value is to 1 or -1 the stronger it is.

Positive and negative are just determining what "side" its on.

Let me know if this helps!

Answer:

Its B.

Step-by-step explanation:

Emath.com- Parabola calculator

Answer: I did quick math and I got 9m^2pq√6

Hope this helps a bit

Answer: 12 red 9 blue

Step-by-step explanation:

Answer:

I think it would be B.

Step-by-step explanation:

This is just a guess but I'm taking the test right now.

Answer:

D). Miranda did not finish her book report on time.

Step-by-step explanation:

i took the test and it was right, i promise.

Answer:

What is the question from both?

Answer:

(4,2) for the first one

(2,-1) for the second one

to get the answers I got, equate Both

Answer: -1/2 and 1/3

Step-by-step explanation:

Answer:

C)  y = 10/3x - 5

Step-by-step explanation:

Slope intercept equation is y = mx + b:

    m is the slope

    b is y-intercept

When you read slope you can also read it as rise over run. Rise is move up or down on the y axis depending if number is negative or positive. Run is move left or right on x axis depending if number is negative or positive.

Example: y = [tex]\frac{10}{3} x - 5[/tex]

Start at the y-intercept which is -5. On graph you can see the line crosses the y axis at (0, -5). From this point rise 10 then run 3 you'll end up at point (3, 5). Connect the dots of the two points and you'll see a line like the one in the problem.

Answer:

yes you plug the numbers in

Answer:

i think yes the order pair of (8,48) satisfy the direct equation y=6x

Step-by-step explanation:

Step-by-step explanation:

(X+3)(2x_9)

3x+12_12=90_12

3x=90_12

3x=78

X=26°