Consider the figure shown below. Find the value of BL

Answer:

it is post-dated

Step-by-step explanation:

Given :

The population of fish in a pond from 2001 to 2014 is modeled by the function below where t is the years since 2001.

[tex]p(t) = \dfrac{1125}{1+12e^{-0.17t}}[/tex]    ...1)

To Find :

Find the number of fish is the pond in 2014.

Solution :

Number of years, t = 2014 - 2001 = 13.

Putting value of t in equation 1), we get :

[tex]p(t) = \dfrac{1125}{1+12e^{-0.17\times 13}}\\\\p(t) = 485.67[/tex]

p(t) ≈ 486

Therefore, number of fish in the pond in 2014 is 486.

Hence, this is the required solution.

Answer:

the recursive formula gives the value of a certain term based on the previous term but the explicit formula gives the value of a specific term based on the position.

Step-by-step explanation:

Answer

D:9

Step-by-step explanation:

i took the test and got it right

Answer:

D- 9

Step-by-step explanation:

good luck :)

Answer:

a) 323 kph with a directional bearing of S 22° E

Step-by-step explanation:

to find the ground speed:

just do the pythagorean theorem.

c²=300²+120²

c²=104400

c=323

to find the directional bearing:

use the law of sines!

sin(90)/323 = sin(θ)/120

(*explanation: since the plane is heading due south and the wind is from due west, it makes a 90 degree angle; and the side opposite of the 90 degree angle is 323. set it equal to sin theta over 120; theta is the angle u r trying to find, and the side opposite of it is 120)

cross multiply:

120sin90=323sin(θ)

divide 323 on both sides:

sin(θ)=0.3715

use inverse sin to find out degree measure:

sin⁻¹(0.3715)=21.8

rounds up to 22.

The ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E. Therefore, option A is the correct answer.

To find the ground speed of the plane, we need to know what a vector is

What is a vector?

A vector is a variable that has both magnitude and direction.

Since the airplane is headed due south with an airspeed of 300 kph, its vector is V = (-300 kph)j.

Also, the wind is blowing from the west at 120 kph. Its vector is v = (-120 kph)i

Now, the ground speed of the plane V' is the resultant vector of the airspeed and wind speed.

A resultant vector is the sum of two or more vectors.

So, V' = v + V

V' = (-120 kph)i + (-300 kph)j

So, its magnitude V' = √(x² + y²) where

x = -120 kph and

y = -300 kph.

So, V' = √[(-120 kph)² + (-300 kph)²]

= √[14400 kph² + 90000 kph²]

= √(104400 kph²)

= 323.11 kph

≅ 323 kph

The direction of the plane

Its direction, Ф = tan⁻¹(y/x)

Ф = tan⁻¹(-300 kph/-120 kph)

Ф = tan⁻¹(2.5)

Ф = 68.2°

From the South-line we have α = 90° - Ф = 90° - 68.2° = 21.8° ≅ 22°

So, the directional bearing of the plane is S22°E.

So, the ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E.

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Answer:

y = ½x + 2

Step-by-step explanation:

We are given the coordinates of the endpoint as;A(8,2) and

B(0,6)

The midpoint coordinates will be;

((8 + 0)/2, (2 + 6)/2) = (4, 4)

The slope of the midpoint using gradient formula will be;

m = (6 - 2)/(0 - 8)

m = 4/-8

m = -2

Thus, slope of a line perpendicular to the midpoint is;

m_p = -1/m

m_p = -1/-2

m_p = 1/2

Thus, using slope intercept concept, the equation to represent the perpendicular bisector is;

y - 4 = ½(x - 4)

Multiply both sides by 2 to get;

2y - 8 = x - 4

Add 8 to both sides to get;

2y - 8 + 8 = x - 4 + 8

2y = x + 4

Divide through by 2 to get;

y = ½(x + 4)

y = ½x + 2

Answer:

Required equation of line in point-slope form is:

[tex]y-5 = -\frac{3}{5}(x+5)[/tex]

Step-by-step explanation:

Given equation of line is:

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

The slope-intercept form of line is:

[tex]y = mx+b[/tex]

Comparing both we get

m = 5/3

We have to find the equation of a line that is perpendicular to given line and passes though (-5,5)

The product of slopes of two perpendicular lines is -1

Let m1 be the slope of line perpendicular to given line then

[tex]m.m_1 = -1\\\frac{5}{3} . m_1 = -1\\m_1 =-\frac{3}{5}[/tex]

Point-slope form is given by:

[tex]y-y_1 =m_1(x-x_1)\\[/tex]

Putting m = -3/5 and (x1,y1) = (-5,5)

[tex]y-5 =-\frac{3}{5}(x-(-5))\\y-5 = -\frac{3}{5}(x+5)[/tex]

Hence,

Required equation of line in point-slope form is:

[tex]y-5 = -\frac{3}{5}(x+5)[/tex]

Answer:

i need data

Step-by-step explanation:

Answer:

let t= the number of tacos sold

let b= the number of burritos sold

3.25t+7b=552

b=2t

Step-by-step explanation:

Since there were twice as many burrito sold as tacos sold, there were more burritos sold, so if we multiply by 2 the number of tacos sold, we will get the number of burritos sold, meaning b=2t.

The system of equation should be considered as the  3.25t+7b=552 and the value of b should be equivalent to 2t.

here we assume that

t= the number of tacos sold

And, b= the number of burritos sold

As per the situation, the equation be like

3.25t+7b=552

b=2t

So,

put b value in the first equation

3.25t + 14t = 552

t = 3.01

And, b = 1.51

Learn more about an equation here: https://brainly.com/question/24603753

Answer:

One would be -3 and the other would be 0.

Step-by-step explanation:

first would be 0 because it's already an answer

second, we take -3 from the left side and subtract it from 0 from the other side which is -3

Answer:

x=3

Step-by-step explanation:

x−3=0

2) Add 3 to both sides.

x=3

Answer:

2,292/3 = x/12

Step-by-step explanation:

if you were to solve

2,292/3 finds you how many people per hour

and multiply that by 12 to find how many people for 12 hours.

Step-by-step explanation:

[tex]\frac{2292}{3} =\frac{x}{12}[/tex]  

cross multiply divide.

x=9168

Answer: -6

Step-by-step explanation:

The solution is: solve of the equation 19-5/2x = 34 is: x = -6.

Here, we have,

given that,

the equation is: 19-5/2x = 34

now, we have to solve this.

so, we have,

19-5/2x = 34

isolating the like terms, we get,

5/2 x = 19- 34

or,  5/2 x = - 15

dividing both side by 5 we get,,

x/2 = -3

cross-multiplying, we get,

x = -6

Hence, The solution is: solve of the equation 19-5/2x = 34 is: x = -6.

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Answer:

1

Step-by-step explanation:

Answer:

Independent variable- time spent in the dark room

Dependent variable - number of objects correctly identified

Conditions of the experiment- low light environment and lighted environments

Scores from the independent variable are used to construct the frequency distribution

Step-by-step explanation:

The independent variable is the factor that is being manipulated in an experiment and this time it is the time spent in a darkened room.

The dependent variable is the response variable, in this case, the number of objects correctly identified.

The experimental conditions involved bringing people from a lighted area into a darkened room.

3.258 x 105=342.09

Brainliest plz!

Answer:

The answer is negative 8 and negative 7

Answer:

about 3 pages can be cut.

Step-by-step explanation:

910/310=2.9

Answer:

3

Step-by-step explanation:

Use this if your teacher asks you how.

By dividing 910/310 you get 2.9. notice that on the calculator it shows 2.9 then infinity but dont mind that. as said to get 3 you round 2.9 to the nearest whole number. which is 3 :)

Answer:

First, for end behavior, the highest power of x is x^3 and it is positive. So towards infinity, the graph will be positive, and towards negative infinity the graph will be negative (because this is a cubic graph)

To find the zeros, you set the equation equal to 0 and solve for x

x^3+2x^2-8x=0

x(x^2+2x-8)=0

x(x+4)(x-2)=0

x=0   x=-4   x=2

So the zeros are at 0, -4, and 2. Therefore, you can plot the points (0,0), (-4,0) and (2,0)

And we can plug values into the original that are between each of the zeros to see which intervals are positive or negative.

Plugging in a -5 gets us -35

-1 gets us 9

1 gets us -5

3 gets us 21

So now you know end behavior, zeroes, and signs of intervals

Hope this helps

Answer:

The degree of the function is odd and the leading coefficient is positive – so the function goes to negative infinity as x goes to negative infinity and to positive infinity as x goes to positive infinity. The zeroes are –4, 0, and 2, all with multiplicity 1. The function is negative from negative infinity to –4 and from 0 to 2. The function is positive from –4 to 0 and from 2 to infinity.

Step-by-step explanation:

sample response on edge 2022

Answer:

a) the largest y-intercept is 1

b) 13.5

c) y=x-3

d) 8

Step-by-step explanation:

the question was worded very strangely and I will answer the way I precieved it.

for question d, I simply considered the question to be asking what is X when y is 17 and since the equation of that line is 2x-1

Answer:

The number of years until the value of the car is 11300 dollars is 9 years.

Step-by-step explanation:

This can be calculated using the following formula:

Value of the Car = Purchase cost - (Annual depreciation expenses * N) ........ (1)

Where;

N = Number of years until the value of the car is 11300 dollars

Purchase cost = $24,600

Annual depreciation rate = 5.5%

Annual depreciation expenses = $24,600 * 5.5% = $1,353

Value of the car = $11,300

Substituting the value into equation (1) and solve for N, we have:

$11,300 = $24,000 - ($1,353 * N)

$1,353 * N = $24,000 - $11,300

$1,353 * N = $12,700

N = $12,700 / $1,353

N = 9.38654841093865

Rounding to the nearest year as required by the question, we have:

N = 9

Therefore, the number of years until the value of the car is 11300 dollars is 9 years.

Answer:

14

Step-by-step explanation:

Answer:

Step-by-step explanation:

x= -1 and -3

What when multiplied is +3 but when added is 4? 3 and 1. You then get (x+3)(x+1) is the first part of the answer. If you want to find x, set x+3 to 0. x+3=0. Then subtract 3 from both sides to get x by itself. x= -3. Do the same with the x+1.

Answer:

width=8cm

lenth=11

Step-by-step explanation:

Answer:

8π/9                                plz give brainlies.

Step-by-step explanation: luv u (:

Answer:

1-C

2-F

3-A

4-D

5-B

6-E

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

20% of 800 = 0.20 * 800 = 160

The function rule is that each input (x value in (x,y)) should only equal to one output and one output (y value) can have more than one input.

✯the following is a function, so yes.

Answer:

yes

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

When the absolute value of a number is trying to be found, you take the number inside and if its a negative it turns to a positive and if its a positive inside then it stays the same.

Answer:

BDE, absolute value is how far away it is from 0 so it is BD and E

Step-by-step explanation:

It says select all that apply aswell which is why there is more then one answer