Elmer loves! He started with 150 rabbits but the number keeps doubling every year. How many rabbits will Elmer have after five years? Write an equation and show work.

Answer:

- A cross-sectional study.

Step-by-step explanation:

A Cross-sectional study is demonstrated as the type of observational study in which the data or a representative subset of a population collected at a particular point in time is analyzed.

As per the given details, the observational study conducted by the research company would exemplify 'a cross-sectional study' as it aims to evaluate the data('viewing habits of about 50005000 ​households) collected at a specific point in time i.e. 'today' in order to 'determine the proportion of households tuning to a particular sports program.'

Solve the equation

log₃2 + log₃(x-4)=1

Answer:

x = 11/2

Step-by-step explanation:

To solve this, we will follow the steps below:

log₃2 log₃(x-4)=1

applying  the rules of logarithm, logₐ b +   logₐ c  = logₐ(bc)

our equation becomes

log₃2+ log₃(x-4)=1

log₃(2)(x-4) = 1

Also log₃3 = 1

so we will substitute 1 by log₃3  in the equation

log₃(2)(x-4) =  log₃3

2(x-4) = 3

2x -8 = 3

add 8 to both-side of the equation

2x -8 + 8 = 3 + 8

2x = 11

divide both-side of the equation by 2

x = 11/2

Answer:

681.82 rounded to two decimals

Step-by-step explanation:

hello

let's say that the price before the decrease is x

and then

600 = x - 12%x=(1-12%)x=0.88x

so x = 600/0.88 = 681.818181...

hope this helps

Answer:

I think it’s 672

Step-by-step explanation:

12% of 600 is 72

To find what the price is before decrease you must add 72 on

Answer:

Step-by-step explanation:

Multiply by 4

so x+3=8*4

x+3=32

-3. -3

x=29

Answer:

x = 29

Step-by-step explanation:

(x + 3)/4 = 8

Multiply both sides by 4.

x + 3 = 8 × 4

x + 3 = 32

Subtract both sides by 3.

x = 32 - 3

x = 29

Answer:

see steps

Step-by-step explanation:

New price  was increase from 100% to 109% at £1800.

By proportionality,

old price / 100% = 1800 / 109%

Cross multiply to get

old price = $1800 * 100% / 109% = £1651.38

Answer:

the graph represents a function.

Step-by-step explanation:

The vertical line test is a test to check if a graph represents a function.

To proceed, draw (imaginary) vertical lines through the entire domain of the graph.  If any of the line intersects the graph at any value of x, then the graph does not represent a function.

Here it is not possible to draw a vertical line to intersect the red curve at any point, therefore the graph represents a function.

Answer:

Yes, the graph represents a function.

Step-by-step explanation:

The vertical line test is a test you can do to determine if a graph is a function. Basically, you draw straight vertical lines, and if it intersects with the line more than once, the graph is not a function.

This is because in a function, each input can only have one output.

So, we can draw vertical lines through the graph, and you'll find that each line will only intersect with the line once.

Based on this, the given graph would represent a function.

Answer:

The answer is below

Step-by-step explanation:

The equation of the line passing through two points is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\[/tex]

The equation of line AB is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-1)=\frac{4-(-1)}{6-7}(x-7)\\\\y+1=-5(x-7)\\y+1=-5x+35\\y=-5x+34[/tex]

The midpoint of two lines is given as:

[tex]x=\frac{x_1+x_2}{2}, y=\frac{y_1+y_2}{2}\\midpoint\ of\ AB \ is:\\x=\frac{7+6}{2}=6.5, y=\frac{-1+4}{2}=1.5\\ = (6.5,1.5)[/tex]

The equation of line AC is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-(-1)=\frac{5-(-1)}{5-7}(x-7)\\\\y+1=-3(x-7)\\y+1=-3x+21\\y=-3x+20[/tex]

The midpoint of two lines is given as:

[tex]x=\frac{x_1+x_2}{2}, y=\frac{y_1+y_2}{2}\\midpoint\ of\ AB \ is:\\x=\frac{7+5}{2}=6, y=\frac{-1+5}{2}=2\\ = (6,2)[/tex]

The product of the slope of a perpendicular bisector of a line and the slope of the line is -1. That is m1m2 = -1

The slope of the perpendicular bisector of AB is:

m(-5)=-1

m=1/5

The equation of the perpendicular bisector of AB passing through (6.5,1.5) is:

[tex]y-y_1=m(x-x_1)\\y-1.5=\frac{1}{5}(x-6.5)\\y=\frac{1}{5} x-8.25[/tex]

The slope of the perpendicular bisector of AB is:

m(-3)=-1

m=1/3

The equation of the perpendicular bisector of AB passing through (6,2) is:

[tex]y-y_1=m(x-x_1)\\y-2=\frac{1}{3}(x-7)\\y=\frac{1}{3} x-4.33[/tex]

2) The point of intersection is gotten by solving y = 1/5 x -8.25 and y = 1/3 x-4.33 simultaneously.

Subtracting the two equations from each other gives:

0= -0.133x - 3.92

-0.133x = 3.92

x = -29.5

Put x = -29.5 in y = 1/5 x -8.25 i.e:

y = 1/5 (29.5) -8.25

y = -14.16

The point of intersection is (-29.5, -14.16)

Answer:

f = -5/3

Step-by-step explanation:

-3/4f = 5/4

Multiply both sides by -4/3.

-3/4f × -4/3 = 5/4 × -4/3

f = -20/12

f = -5/3

Answer:

Step-by-step explanation:

d because you get 1.3 and u round it to D

Answer:

option d is a correct answer....

Answer:

1) y = 2x + 1

y = x + 2 Corresponding with the third graph

2) y = 3x

y = x + 3 Corresponds with the first graph

3) y = 2x - 2

y = x - 2

4) y = 2x + 3

y = x + 5

Likely correspond with the fourth graph

5) y = 4x + 2

y = 2x + 2 Corresponding with the second equation

Step-by-step explanation:

The groups of equation are;

1) y = 2x + 1

y = x + 2

The y-intercept of equation (1) = 1

The x-intercept of equation (1) = -1/2

The slope of equation (1) = 2

So at x = 0 y = 1 and at  y = 0 x = -1/2 and at x = 2 y  = 3

Corresponding with the third graph

The same can be shown with the second equation

2) y = 3x

y = x + 3

The y-intercept of equation (1) = 0

The x-intercept of equation (1) = 0

The slope of equation (1) = 3

So at x = 0 y = 0 and at   x = 2 y  = 6

Corresponds with the first graph

The same can be shown with the second equation

3) y = 2x - 2

y = x - 2

4) y = 2x + 3

y = x + 5

Likely correspond with the fourth graph

5) y = 4x + 2

y = 3x + 2

The y-intercept of equation (1) = 2

The x-intercept of equation (1) = -1/2

The slope of equation (1) = 4

So at x = 0 y = 2 and at  y = 0 x = -1/2 and at x = 0.5 y  =  4

Corresponding with the second equation

The same can be shown with the second equation

We have to determine, The tiles to the correct boxes to complete the pairs. Not all tiles will be used.  Match each system of equations to its graph.

The groups of equation are as follows;

[tex]y = 2x + 1\\y = x + 2[/tex]

The y-intercept of equation = 1

The x-intercept of equation  = -1/2

And The slope of equation  = 2

Then,

At x = 0, y = 1

And at  y = 0, x = -1/2

And at x = 2, y  = 3

The first and second equation Corresponding with the third graph.

[tex]y = 3x\\y = x + 3[/tex]

The y-intercept of equation = 0

The x-intercept of equation  = 0

The slope of equation = 3

So at x = 0,  y = 0 and at   x = 2, y  = 6

The equation Corresponds with the first graph

[tex]y = 2x - 2\\y = x - 2[/tex]

The y-intercept of equation  = -2

The x-intercept of equation  = 2

The slope of equation = 2

So at x = 0,  y = -2 and at   x = 2, y  = 0

The equation Corresponds with the first graph.

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

 The y-intercept of equation = 3

The x-intercept of equation  = -2

The slope of equation  = 2

So at x = 0,  y = 3 and at   x = -5, y  = 0

The equation Corresponds with the fourth graph.

[tex]y = 4x + 2\\y = 3x + 2[/tex]

The y-intercept of equation = 2

The x-intercept of equation = -1/2

The slope of equation  = 4

So at x = 0 y = 2 and at  y = 0 x = -1/2 and at x = 0.5 y  =  4

The equation Corresponding with the second graph.

For more information about Equation click the link given below.

https://brainly.com/question/17267403

Answer:

You should add 4 to both sides because that would make the left side a perfect square which is what you are intending to do when you complete the square.

Answer:

4

Step-by-step explanation:

x² + 4x = 5

b = 4

We need to add (b/2)² to both sides to complete the square.

(4/2)² = 4

x² + 4x + 4 = 5 + 4

x² + 4x + 4 = 9

(x + 2)² = 9

Answer:

(A)The pool is 1 meter deep.

Step-by-step explanation:

The graph that is to be interpreted is attached below.

From the graph:

We have a bold red line at y=-1

Since above the line is shaded(in red), the first inequality is: y ≥ -1

Next

The blue line is dotted and passes through points (0, 0) and (-2, -1).

We determine the equation of the blue line, y=mx+b.

Slope of the blue line, [tex]m =\dfrac{-1-0}{-2-0}=\dfrac{1}{2}[/tex]

Since the y-intercept, b=0

The equation of the line is: [tex]y=\dfrac{1}{2}x[/tex]

Since below the blue line is shaded, the inequality showing the shaded area is: [tex]y<\dfrac{1}{2}x[/tex]

Therefore, a solution to the set of inequalities is (2, -1)

Since the pool is 1 meter deep and anything beyond this is outside the feasible region, the constraint is:

(A). The pool is 1 meter deep.

Answer:

A!!

Step-by-step explanation:

the pool is one meter deep

Answer:

-7

Step-by-step explanation:

Answer:

54.88 square cm

Step-by-step explanation:

If d1 and d2 are the diagonal of parallelogram and [tex]\alpha[/tex] is the angle between then

then its area is given by

area = d1*d2 sin [tex]\alpha[/tex]

given

in the problem

for one diagonal one part is 7cm

we know that diagonal intersects each other to divide each part of same diagonal equally.

hence if one part is of length 7 then other part is also of 7cm length

hence full length of this diagonal is 7+7 = 14cm

similarly  full length of other diagonal is 4+4 = 8cm

now area of this parallelogram

area = d1*d2 sin [tex]\alpha[/tex]  = 14*4 sin100

we know sin100 = 0.98

area = 56*0.98

area = 54.88

Thus, area of given parallelogram is 54.88 square cm.

Step-by-step explanation:

if AB and CD are parallel then

90 -x +83 +46 = 180 --> x= 39

Answer:

x = 39

Step-by-step explanation:

Using the properties of parallel lines, then

x + 44 = 83 ( subtract 44 from both sides )

x = 39

Answer:

19/10 or 1 9/10

Step-by-step explanation:

you first put them into common denominators

so the least common denominator is 10

so 5/2= 25/10

and 3/5= 6/10

so 25/10 minus 6/10= 19/10

hope this helps

Answer:

1 9/10

Step-by-step explanation:

5/2 - 3/5

Get a common denominator of 10

5/2 *5/5 - 3/5 *2/2

25/10 - 6/10

19/10

10/10 + 9/10

1 9/10

Answer:

Step-by-step explanation:

f(x) = |x - h| + k has a vertex at (h, k), where both h and k are positive.  Only

"On a coordinate plane, an absolute value graph has a vertex at (2, 1)"  satisfies those requirements.

The vertex of an absolute function is the minimum or the maximum point of the graph

The graph that could be [tex]f(x) = |x - h| + k[/tex] is (a) an absolute value graph has a vertex at (2, 1)

The function is given as:

[tex]f(x) = |x - h| + k[/tex]

And the coordinates of the vertex (h,k) are said to be positive.

From the list of given options, only the first option has both coordinates of the vertex to be positive i.e. (2,1)

Hence, the graph that could be [tex]f(x) = |x - h| + k[/tex] is (a)

Read more about absolute value functions at:

brainly.com/question/2166748

Answer:  No the banner is not square.

Step-by-step explanation:

If it were square, the diagonal would be about 35.36 inches.

Pythagorean Theorem: a² + b² + = c²

?25² + 25² = 48² ?

625 + 625 ?=? 2304

1250 ≠ 2304

√1250 ≈ 35.3553

Answer:

The second option

Step-by-step explanation:

Source: trust me bro

Answer:

The integers are 4 and 7 or -2 and 1.

Step-by-step explanation:

You can make a system of equations with the description of the two integers.

1. x = y + 3

2. 2x + 2 = y^2

The simplest and the fastest way to solve this system in this case is substitution. You can substitute x for y + 3 in the second equation.

1. x = y + 3

2. 2(y + 3) + 2 = y^2

Now simplify and solve the second one. For convenience, I will just disregard the first equation for now.

2y + 6 + 2 = y^2

y^2 - 2y - 8 = 0

You can factor this equation to solve for y.

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

y = 4, y = -2

Now we can substitute the value of y for x in the first equation.

x = 7, x = 1

The two expressions to find the value of the two integers.

M = 3N

2M = N² - 2

N = 6.3 and M = 18.9

The two integers are 6.3 and 18.9

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Smaller integer = M

Larger integer = N

Now,

An integer is three more than another integer.

This can be written as,

M = 3N ____(1)

Twice the larger integer is two less than the square of the smaller integer.

This can be written as,

2M = N² - 2 ______(2)

From (1) and (2) we get,

2(3N) = N² - 2

6N = N² - 2

N² - 2 - 6N = 0

N² - 6N - 2 = 0

This is a quadratic equation.

The roots of this quadratic equation are 6.32 and -0.31 (neglected)

N = 6.32

N = 6.3

Now,

M = 3N

M = 3 x 6.3

M = 18.9

Thus,

The two integers are 6.3 and 18.9

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

Gym A and B offers the same price

Step-by-step explanation:

[tex]\huge\bold\color{steelblue}{\colorbox{white}{Answer:}}[/tex]

Both of them has the same price

━═━═━═━═━═━═━═━━═━═━━═━═━━═━═━═━═━═━═━═━

If you have any questions, feel free to ask me <33

#CarryOnLearning

#HelpBrainlyCommunityGreat

Answer:

C

Step-by-step explanation:

The measure of the chord- chord angle XYZ is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

∠ XYZ = [tex]\frac{1}{2}[/tex] ( arc XZ + arc VW )

           = [tex]\frac{1}{2}[/tex] ( 17 + 55)° = 0.5 × 72° = 36° → C

Answer:

The answer is:

1*28

2*14

4*7

Factors are 1,2,4,7,14,28

Question Completion

Answer:

[tex](a)120^\circ\\(b)60^\circ[/tex]

Step-by-step explanation:

In the diagram BC(Main Street) is parallel to AD(Willow Lane)

Therefore, ABCD is a Trapezoid.

Since in a trapezoid, adjacent angles are supplementary

Therefore:

[tex]\angle C+ \angle D=180^\circ\\\angle C+ 60^\circ=180^\circ\\\angle C=180^\circ- 60^\circ\\\angle C=120^\circ[/tex]

Since [tex]AB \cong CD[/tex], ABCD is an Isosceles Trapezoid.

In an Isosceles trapezoid, the base angles are congruent:  

Therefore:[tex]\angle A \cong \angle D$ and \angle B \cong \angle C[/tex]

Therefore:

[tex]\angle A \cong \angle D=60^\circ\\\angle B \cong \angle C=120^\circ[/tex]

(a)

The angle between Main Street and the west path is [tex]\angle CBA = 120^\circ[/tex]

(b)

The angle between the west path and Willow Lane is [tex]\angle BAD =60^\circ[/tex]

Answer:

17

Step-by-step explanation:

5+(2✖️3✖️2)

=5+12

=17

Answer:

Value = 17

Step-by-step explanation:

5 + 2(3)2

5 + 12

Value = 17

Hope this helps! :)

Answer :

[tex]x = - 6 \\ x = 1[/tex]

Answer:

B

Step-by-step explanation:

(Looking at the lines in the graph, the second equation is missing a minus sign, and should be [tex]y=-\frac{1}{3}x + \frac{2}{3}[/tex])

To find the intersection point of the pair of linear equations, we just need to equate both values of y.

The equations are:

[tex]y=\frac{2}{5}x - \frac{1}{2}[/tex]

[tex]y=-\frac{1}{3}x + \frac{2}{3}[/tex]

Making the y from one equation equal the y of the other equation, we have:

[tex]\frac{2}{5}x - \frac{1}{2} = -\frac{1}{3}x + \frac{2}{3}[/tex]

[tex]\frac{2}{5}x +\frac{1}{3}x = \frac{2}{3} + \frac{1}{2}[/tex]

[tex]\frac{6}{15}x +\frac{5}{15}x = \frac{4}{6} + \frac{3}{6}[/tex]

[tex]\frac{11}{15}x = \frac{7}{6}[/tex]

[tex]x = \frac{7}{6} * \frac{15}{11} =\frac{35}{22} = 1.591[/tex]

Then the y-coordinate of the point is found using this x-value in any of the two equations:

[tex]y=\frac{2}{5}\frac{35}{22} - \frac{1}{2}[/tex]

[tex]y=\frac{7}{11} - \frac{1}{2}[/tex]

[tex]y=\frac{14}{22} - \frac{11}{22}[/tex]

[tex]y=\frac{3}{22} = 0.136[/tex]

So the coordinate of the crossing point is (1.591, 0.136)

The point that is in this coordinate in the graph is point B.

Answer:

View the picture for the answer!

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

n =2  ;  3n + 2 = 3*2 + 2 = 6 + 2  = 8

n = 3 ; 3n + 2 = 3*3 + 2 = 9 + 2 = 11

n =4 ; 3n+ 2   = 3*4 + 2 = 12 + 2 = 14

n= 5;   3n +2 = 3*5 + 2  = 15 + 2 = 17

n = 6; 3n + 2 = 3*6 + 2 = 18 + 2 = 20

∑ (3n + 2) = 8 + 11 + 14 + 17 + 20 = 70

Answer:

70

Step-by-step explanation:

TTT

Explanation:

The average rate of change from x = 0 to x = 3 is exactly the same as the slope of the line through the two points (0,6) and (3,0)

m = slope

m = (y2 - y1)/(x2 - x1)

m = (0-6)/(3-0)

m = -6/3

m = -2

The average rate of change is -2. The negative result indicates the slope is going downhill as you move from left to right.

Answer:

Step-by-step explanation:

The values of the slope and y-intercept are  

m =- 8/3

and  b = − 11

Answer:

-2

Step-by-step explanation:

Simply find the y-value when x = -5. Looking at the graph, we should get y = -2

Answer:

f(-5) = -2

Step-by-step explanation:

f(-5)

x=-5

Go x=-5 on the graph and see what the y value of the function is

The y value is -2

f(-5) = -2