pythagorean theorem digital escape puzzle 2 HELPPPP​

In writing the equations that describe each of the colonies A ad B we have;

We know that the increase or decrease of population are exponential problems. We such, we must be able to look at the problem form the exponential perspective. This is how we would be able to know how to write the appropriate equation that would be able to be used in each of the cases that have been shown in the problem.

We are told  that; a scientist is observing two ant colonies. The colonies each have 800 ants when he begins observing them. The population of Colony A increases by 25% each week. The population of Colony B decreases by 25% each week. In each equation, y represents the ant population with respect to a number of weeks, x.

Thus;

For colony A we can write;

y = 800e^0.25x

For colony B we can write;

y = 800e^-0.25x

Learn more about exponential functions:https://brainly.com/question/14355665

#SPJ1

Answer: B. ≤

Step-by-step explanation:

≤

Answer:

2

Step-by-step explanation:

If the doors for the small cabinets are 17.5 in long, and the doors for the large cabinets are 3.5 times longer, find the length of the large cabinet doors by multiplying the length of the small cabinet doors by 3.5:

⇒ Length of large cabinet doors = 17.5 × 3.5 = 61.25 in

1 foot = 12 inches

⇒ 12 foot = 12 × 12 = 144 inches

To find how many large doors can be cut from a board that is 12 feet long, divide 144 inches by the found length of the large door:

⇒ 144 ÷ 61.25 = 2 r 21.5

Therefore, 2 large doors can be cut from a board that is 12 feet long.

(There will be 21.5 inches of board left over).

Answer: What??

Step-by-step explanation:

[tex]\displaystyle \boxed{\text{First Attachment, 14}}[/tex]

Answer:

x = 30

y = 60

Step-by-step explanation:

      First, vertical angles are congruent. This helps us fill in more of the angles so we can find x and y.

      Next, supplementary angles add up to 180°, aka a line. We can use this to fill out even more of the diagram given.

      Lastly, corresponding angles on parallel lines are congruent.

      By using the information above, we can decide that x = 30 and y = 60. See the first attachment for all the angle values filled out.

[tex]\displaystyle \boxed{\text{Second Attachment, 12}}[/tex]

Answer:

x = 65

Step-by-step explanation:

      From the above explanation, we will be using vertical angles and supplementary angles to solve this question. See the second attachment.

      We also know there are 180 degrees in a triangle.

      Lastly, we know that alternate interior angles are congruent.

      Using this knowledge, we can decide that x = 65.

[tex]\displaystyle \boxed{\text{Third Attachment, 13}}[/tex]

Answer:

x = 30

Step-by-step explanation:

      Again, we will be using vertical angles, supplementary angles, and corresponding angles to solve this question. See the third attachment.

      After placing vertical angles down from the given information, we can fill in more using corresponding angles.

      Lastly, we know there are 360 degrees in a circle. We can create an equation from this and solve.

      Using this information, we can decide that x = 30.

The slope-Intercept form of the given line is y=1.5x.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is y-intercept.

The given line passes through (4, -2) and (2, 3). Therefore, the slope of the given line can be written as,

Slope of the line, m = (-2 - 3)/(4 - 2)

                                = 3 / 2

                                = 1.5

Now, the equation of the line passing through (2, 3) can be written as,

y = mx + c

(3) = 1.5(2) + C

3 = 3 + C

3 - 3 = C

C = 0

Substitute all the value in the equation of the line,

y = m(x) + c

y = 1.5(x) + 0

y = 1.5x

Hence, the equation of the given line is y=1.5x .

Learn more about Equation of Line here:

brainly.com/question/21511618

#SPJ1

Answer:

P(x) = (x - 3)(x + 3)(x + 2)(x - 1)

Answer:

Step-by-step explanation:

Solution:To write a polynomial in standard form, simplify and then arrange the terms in descending order.Expand ( x2 − 9 )( x + 2 ) using the FOIL Method.Simplify each term.

The probability that the proportion of the sample who are iphone users is between 45% and 50% be 22.87%.

The probability that more than 50% of americans are iphone users be 11.12%.

(a)We know, p = 0.47 and n = 100. First, we should check our conditions for the sampling distribution of the sample proportion.

np = (100)(0.47) = 47 and n(1 - p) = (100)(1 - 0.47) = 53

Since, X will have a sampling distribution that is approximately normal with mean = 0.47

and

standard deviation =  √(0.47)(0.53)/100 ≈ 0.05

P(0.45<X<0.50) = P((0.45 - 0.47)/0.05 < Z < (0.50-0.47)/0.05)

P(0.45<X<0.50)  ≈ 0.2287

Therefore, if the true proportion of Americans who own an iPhone is 47%, then there would be a 22.87% chance that we would see a sample proportion between 45% and 50% when the sample size is 100.

(b) Now, p = 0.47 and n = 50.

np = (50)(0.47) = 23.5 and n(1 - p) = (50)(1 - 0.47) = 26.5

Since, X will have a sampling distribution that is approximately normal with mean = 0.47

and

standard deviation =  √(0.47)(26.5)/50 ≈ 0.25

P(X>0.50) = P(Z > (0.50-0.47)/0.25)

P(X>0.50)  ≈ 0.1112

Therefore, if the true proportion of Americans who own an iPhone is 47%, then there would be a 11.12% chance that we would see a sample proportion more than 50% when the sample size is 50.

Learn more about Probability here https://brainly.com/question/13604758

#SPJ4

Use parentheses that may or may not contain parameters directly after the function name to invoke the function.

As part of GAIA, the AI created for Project Zero Dawn in reaction to the Faro Plague, the subordinate functions are a part. The Faro Swarm's deactivation and the planet's terraforming are all objectives of Project Zero Dawn, and they are all accomplished through their extensive suite of subfunctions, each of which is dedicated to a particular purpose.

There are nine supporting roles.

A top engineer on the Zero Dawn project known as an Alpha created each of the nine subordinate functions. They were supported by a project development team made up of professionals in their industry who were well-known throughout the world.

To know more subordinate functions visit:

https://brainly.com/question/1711662

#SPJ1

Answer:

7x+40=180

Step-by-step explanation:

(5x+40)+(2x)=180

7x+40=180

if you were to solve

subtract 40 from each side

7x=140

divide both sides by 7

x=20

check your answer

5(20)+40+2(20)=180

100+40+40=180

this is correct

hope this helps..and with future questions if you need to solve it

To find BCD

we know that C is 40 degrees and we know that  triangle is also 180

we can also see that B is a right triangle or 90 degree

so 90+40+A=180

130+A=180

subtract 130 from 180

A=50

pizzeria will not deliver to mikayla as distance is out of radius.

According to question, as the reference with the origin of the circle, it can deliver pizzeria in the radius of 6 miles

mikayla lives 4 miles north and 6 miles west,

So, distance of mikayla from company,

By using Pythagoras theorem

Distance = √(4)^2 + (6)^2 = √52 miles

As distance is greater than radius, pizzeria will not deliver to mikayla.

To know more about circle visit:

brainly.com/question/11833983

#SPJ4

a. The equation that represents the given data is y = 700x + 2,000.

b. The average daily attendance at Disneyland on its 80th anniversary is 58,000.

We are given the data about average daily attendance at Disneyland's anniversary celebrations. At Disneyland's 40th anniversary, the average daily attendance was 30,000 people. On the 60th anniversary, the average daily attendance was 44,000 people. We need to create an equation that would represent y, the average daily attendance, based on x, the number of years after Disneyland opened.

We can write the data in the form of points on the coordinate axes. The coordinates of the points are (40, 30,000) and (60, 44,000). We can use the two-point form to write an equation.

(y - y1) = [(y2 - y1)/(x2 - x1)]*(x - x1)

(y - 30,000) = [(44,000 - 30,000)/(60 - 40)]*(x - 40)

(y - 30,000) = [(14,000)/(20)]*(x - 40)

(y - 30,000) = (700)*(x - 40)

y = 700x - 28,000 + 30,000

y = 700x + 2,000

Now, we need to find out the average daily attendance at Disneyland on its 80th anniversary.

y = 700*80 + 2,000

y = 56,000 + 2,000

y = 58,000

To learn more about equations, visit :

brainly.com/question/28361327

#SPJ1

Answer:

200 cm²

Step-by-step explanation:

Find the areas of all of the faces

17 × 2 = 34 (Top Face)

8 × 15 = 120 (Both Triangles)

15 × 3 = 30 (Bottom Face)

8 × 2 = 16 (Back Face)

Add them all together

120 + 34 + 30 + 16 = 200 cm²

The equations that can be used to solve for y, the length of the room

First and foremost, we can begin solving this equation by noting the formula for calculating the area of a rectangle. This formula is given as follows:

Area of a rectangle = Length × Width

Since the width of the room is 5 feet less than the length of the room, we will have the resulting equation as the area of the rectangle:

y( y - 5) = 750

When this equation is fully expressed, we will get the following equations:

Therefore, options, B, C, and E are correct.

Learn more about the area of a rectangle here:

https://brainly.com/question/2607596

#SPJ1

Answer:

The new mean is 3.6

Step-by-step explanation:

Since each piece of data is now doubled that means the data is now

4.8, 3.2, 6.4, 0.6, 3

Add up all of the data which comes out to 18

Divide 18 by the number of numbers there are which is 5

This will get you 3.6 which is the new mean of the data

use desmos graphing calcu

Answer:  The correct answer is x=−3 or x=5

Step-by-step explanation:

Solve for x^2−2x=15 using the quadratic equation

Step 1) Subtract 15 from both sides

x2−2x−15=15−15

x2−2x−15=0

For this equation: a=1, b=-2, c=-15

1x2+−2x+−15=0

Step 2) Use quadratic formula with a=1, b=-2, c=-15

x= (−b±√b2−4ac)/2a

x= (−(−2)±√(−2)2−4(1)(−15))/2(1)

x= (2±√64)/2

x=5 or x=−3

Remember to vote for this as Brainliest if I earned it!   :)

Ana and Bonita were born nn year apart and its value of nn is 12.

Here we have to find nn which difference in the year in which Ana and Bonita were born.

Let x be the age of Ana and y be the age of Bonita.

It is given that last year Ana was 5 times as old as Bonita so from this statement we get the first equation:

x - 1 = 5(y -1)

x -1 = 5y - 5

5y -x = 4--------(1)

The second statement is Ana is square of Bonita's age. From this we get another equation:

x = y²-----------(2)

Putting equation 2 in equation 1 we get:

5y - y² = 4

y² - 5y +4 = 0

y² - 4y - y + 4 = 0

y(y-4) -1(y -4) = 0

(y - 4)(y -1) = 0

y = 4,1

As x = y²

x = 4² = 16 or x = 1² =1

We cannot take 1 as there is a difference in their age

So we get x = 16 and y =4

So the difference in their age = 16-4= 12

Therefore we get the value of nn as 12.

To know more about the age refer to the link given below:

https://brainly.com/question/1581212

#SPJ4

Answer:

Step-by-step explanation:

f(x)=5x2+xf(x)=5x2+xWrite f(x)=5x2+xf(x)=5x2+x as an equation.y=5x2+xy=5x2+xInterchange the variables.x=5y2+yx=5y2+ySolve for yy.Tap for more steps...y=−1−√1+20x10y=-1-1+20x10y=−1+√20x+110y=-1+20x+110Replace yy with f−1(x)f-1(x) to show the final answer.f−1(x)=−1−√1+20x10,−1+√20x+110f-1(x)=-1-1+20x10,-1+20x+110Verify if f−1(x)=−1−√1+20x10,−1+√20x+110f-1(x)=-1-1+20x10,-1+20x+110 is the inverse of f(x)=5x2+xf(x)=5x2+x.Tap for more steps...f−1(x)=−1−√1+20x10,−1+√20x+110f-1(x)=-1-1+20x10,-1+20x+110

The total number of roots for the given polynomial is for f(x)= 3x^6+2x^5+x^4-2x^3+6 is 6  and for g(x) =  5x-12x^2+3 is 2

Since for finding the number of roots, we just  need to see what is the degree fro the given polynomial, where the degree of the polynomial is nothing but the highest exponent.For the function f (x) = 3x6 2x5 x4 - 2x3, here the degree is 6, and the respective function is having 6 numbers of roots, which be real roots and complex roots too.For the function g(x) =  5x-12x^2+3, here the degree is 2, so the respective function has 2 roots.

To know more about polynomials refer to the link https://brainly.com/question/11536910?referrer=searchResults.

#SPJ4

Answer:

f (x) = 3x6 + 2x5 + x4 - 2x3 = 6 roots g(x) = 5x - 12x2 + 3 = 2 roots f (x) = (3x4 + 1)2 = 8 roots g(x) = (x - 5)2 + 2x3 = 3 roots

The values of the three integers are:

x= -9, y=66, z= -25

In French, an equation is defined as having one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.

In order to solve an equation with variables, you must first determine which variables' values make the equality true. Unknowns are the variables for which the equation must be solved, and equation solutions are the values of the unknowns that satisfy the equality..

Given,

Sum of three integers= 32

x+ y+ z=32  →1

And also given that,

x+ y= z+82 →2

z+16=x →3

By solving equation 1, we get

z+16+y+z=32

2z+y=16 →4

By solving equation 2, we get

z+16+y= z+82

y=82-16

y=66

By solving equation 4, we get

2z+66=16

2z=-50

z=-25

By solving equation 3, we get

x=z+16

x=-25+16

x=-9

Therefore, the three integers are x=-9, y=66, z=-25

To know more about equation, visit:

https://brainly.com/question/10413253

#SPJ4

The 6th term is -487 i.e, option(a)

What is a Sequence ?

A sequence is an ordered list of objects (or events). Like a set, it contains members (also called elements, or terms). The number of ordered elements (possibly infinite) is called the length of the sequence.

There are 4 types of sequence, arithmetic sequences, geometric sequences, quadratic sequences and special sequences.

Given, the 1st term = -3

According to question, we get the term by multiplying the previous term by 3 and then adding 2.

Now, calculate the other terms.

so, the 2nd term will be

-3 * 3 + 2 = -7

3rd term

-7 * 3 + 2 = -19

4th term

-19 * 3 + 2 = - 55

5th term

-55 * 3 + 2 =  -163

6th term

-163 * 3 + 2 = -487

Hence, the 6th term is -487 i.e, option(a)

To read more about Sequence of terms

https://brainly.com/question/6561461

#SPJ1

Answer:

1

Step-by-step explanation:

7-6=1

Answer:

c-a

replace x with 7 and a with 6

rewrite: 7-6

7-6 = 1

Answer: 1

What happens when the slope of a line is undefined is that, the line is a vertical line that crosses the x-axis.

The points could be (1, 5) and (1, 10)

It is known that linear equations have slopes

These slopes are the average rate of change of the function

The values of these slopes can be

When the slope is undefined, it means that the line is a vertical line

An example of the vertices on such line is (x, y) and (x, y + n)

See that the x coordinate remains constant, while the y coordinate changed

Take for instance, a line that passes through (1, 5) and (1, 10) would have an undefined slope

Read more about slopes at

https://brainly.com/question/11322966

#SPJ1

The required increasement of height of tree is 33 centimeters annually

Function of time is defined as the change of abject or expression of variables with time. As the time increases, there is change in shape, height, etc. is called function of time.

we have given an expression of height of tree,

H = 210 + 33t

Where t represent the time and H is height of tree.

So, Changes in the height of the tree with years,

for t = 1 year

⇒ H = 210 + 33×1 = 210 + 33 = 243 centimeters

Thus, the height of tree in increases by 33 centimeters yearly.

To know more about function visit:

brainly.com/question/21145944

#SPJ1

The probability that x < y is 1/8 or 0.25 .

What is probability of an event?
The possibility or chance of an event happening is commonly believed to be the probability of it happening. In the most basic scenarios, the probability that a specific event 'A' will occur as a result of an experiment is calculated by dividing the number of ways that 'A' can happen by the total number of possible outcomes.
P(A) = Number of events concerning 'A' / Total events in consideration.

Given, the vertices of the rectangle are (0, 0), (4, 0), (4, 1), (0, 1).
On carefully analyzing and plotting the vertices roughly, we get that the given rectangle has a width of 4 units and a height of 1 unit.
Therefore, the area of the given rectangle = Width*Height = 4*1 = 4 units²
Also, it can be assessed that the line x = y passes through the points of the rectangle at (0, 0) and (1, 1).
Thus, the area for which x < y will be an isosceles triangle with side length of 1 units and co-ordinates of vertices as (0, 0), (0, 1) and (1, 1).
The area of the isosceles triangle thus assumed = 0.5 × 1² = 0.5 units²
Probability that x < y is P(E): 0.5/4 = 1/8 = 0.25
Therefore, the probability that x < y is 1/8 or 0.25 .

To learn more about probability, tap on the link below:
https://brainly.com/question/24756209

#SPJ4