A winter recreational rental company is fencing in a new storage area. They have two options. They can set it up at the back corner of the property and fence it in on four sides. Or, they can attach it to the back of their building and fence it in on three sides. The rental company has decided that the storage area needs to be 100 m2 if it is in the back corner or 98 m2 if it is attached to the back of the building. Determine the optimal design for each situation.

Answer:

(a)5 and 8

(b)5 and 5

(c) 7 and 5

(d)6 and 2

(e)6 and -2

Step-by-step explanation:

(a)a negative integer

We consider the integers 5 and 8

Difference = 5-8 =-3

3 is a negative integer.

(b)Zero

We consider the integers 5 and 5

Difference = 5-5 =0

(c) an integer smaller than both the integer.

We consider the integers 7 and 5

Difference = 7-5 =2

2 is smaller than both integers.

(d) an integer smaller than only one of the integers.

We consider the integers 6 and 2

Difference =6-2=4

4 is smaller than only 6.

(e)an integer greater than both the integers

We consider the integers 6 and -2

Difference =6-(-2)=6+2=8

8 is greater than both 6 and -2.

Answer:

0.3888 m or 38.88 cm

Step-by-step explanation:

I believe the question should be "how high will it rise from the third bounce?"

Initial height = 1.8m

If the ball only rises to 3/5 of the previous height after each bounce, the heights after the first three bounces are;

[tex]h_0=1.8m\\h_1=\frac{3}{5}*1.8=1.08\ m\\h_2=\frac{3}{5}*1.08=0.648\ m\\h_3=\frac{3}{5}*0.648=0.3888\ m[/tex]

The ball will rise 0.3888 m or 38.88 cm from the third bounce

Answer: 2.92h

Explanation:

Given:

the ball falls and rebounds to 3/5 of the height it is falling.

Height = 1.8m

to calculate the total distance traversed by the ball up to the third bounce

D = h(0) + (3/5) x h(0) + (3/4) h(0) + (3/4) x (3/4) h(0) + (3/5) x (3/5) h(0) the ball falls and rebounds to 3/4 of the height it is falling.

this distance = down + up +down +up +down only

otherwise it will do the after 3rd bounce travel.

D = h(0) { 1 + 2 x (3/5) + 2 x (9/25) }

= 2.92h(0)

Answer:

C

Step-by-step explanation:

Okay, here we have the equation of the sine wave as;

y = asin(k(x + b))

By definition a represents the amplitude

k represents the frequency

b represents the horizontal shift or phase shift

Now let’s take a look at the graph.

By definition, the amplitude is the distance from crest to trough. It is the maximum displacement

From this particular graph, amplitude is 4

K is the frequency and this is 1/period

The period ;

Firstly we find the distance between two nodes here and that is 1/2 from the graph (3/4 to 1/4)

F = 1/T = 1/1/2 = 1/0.5 = 2

b is pi/4 ( phase is positive as it is increasing rightwards)

So the correct option here is C

Answer: it is

a=4, k=2, and b= pi/4

Step-by-step explanation:

got it right on A P E X

Hey there! :)

Answer:

These two figures are similar because 5/3 equals 15/9.

Step-by-step explanation:

These figures are similar to each other, which means the side-lengths are proportional. Therefore:

[tex]\frac{5}{9} = \frac{15}{9}[/tex]

Side-lengths 15 and 9 are proportional to 5 and 3 because the two fractions are equivalent; the larger rectangle is just 3 times larger.

Answer:

Step-by-step explanation:

From the graph we can notice that :

Again we can deduce from the graph that :

Answer:

x = 60

Step-by-step explanation:

L // M

Sum of co-interior angles = 180

2x + 5 + x - 5 = 180

Add the like terms

3x + 0 = 180

3x = 180

Divide both sides by 3

3x/3 = 180/3

x = 60

Answer:

1) A = (3 + 5·i) + (2  - 3·i)

2) A = (-3 + 5·i) + (-2  - 3·i)

3) A = (-3 + 5·i) + (2  + 3·i)

4) A = (3 - 5·i) + (2  + 3·i)

Step-by-step explanation:

1) For the first chart, we have;

To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows

A = (3 + 5·i) + (2  - 3·i)

2) For the second chart, we have;

To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows

A = (-3 + 5·i) + (-2  - 3·i)

3) For the third chart, we have;

To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows

A = (-3 + 5·i) + (2  + 3·i)

4) For the fourth chart, we have;

To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows

A = (3 - 5·i) + (2  + 3·i)

Answer:

15 units

Step-by-step explanation:

Given the equation which models the path of a stone as:

[tex]H(x)=-5x^2+10x+15[/tex]

At the time when the stone was thrown

x=0

Therefore:

[tex]H(0)=-5(0)^2+10(0)+15\\H(0)=15[/tex]

The height of the stone at the time it is thrown is 15 units.

Answer:

D.

Step-by-step explanation:

The formula to find the solutions of a quadratic equation is -b plus or minus the square root of b^2 - 4ac divided by 2a. In this case, a = 2, b = 5, and c = -10.

[tex]\frac{-b +-\sqrt{b^2 - 4ac} }{2a}[/tex]

= [tex]\frac{-5 +-\sqrt{5^2 - 4*2*-10} }{2 * 2}[/tex]

So, the right answer should be the choice on the lower right corner.

Hope this helps!

Answer:

-3901 silver coins (a loss)

Step-by-step explanation:

Probability of surviving the quest = 85.4% (Gain of 5,533 silver coins.)

If the insured were to die, the insurance company would pay a death benefit(incur a loss) of 59,086 silver coins.

Therefore:

The probability of not surviving the quest = 100%-85.4% =14.6%

Therefore, the expected value of this insurance policy to the insurance company

[tex]=(5,533 X 85.4\%)+(-59,086 X 14.6\%)\\=(5,533 X 0.854)+(-59,086 X 0.146)\\=-3901.37\\\approx -3901$ silver coins[/tex]

The expected value of this insurance policy to BIC is -3901 silver coins

The expected value of this insurance policy to BIC is -3901 silver coins (a loss)

Since st to Moria. Based on past experience, the probability of surviving such a quest is 85.4%. If BIC charges a premium of 5,533 silver coins and would pay a death benefit of 59,086 silver coins

So here the expected value is

= 85.4% of 5,533 + (14.6% of -59,086)

= -3901

Hence, The expected value of this insurance policy to BIC is -3901 silver coins (a loss)

Learn more about policy here: https://brainly.com/question/10189250

Answer:

c. Not enough information

Answer:

Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6

The ordered pairs are: (100, 135) and (500, 375)

The first number is the number of minutes of usage and the second number is the charge of the month.

The slope is: ( 375 -135) / (500 - 100) = 240/400 = 0.6

Step-by-step explanation:

31.7 + 42.8 + 26.4 + x/4 = 39.1

Add up all the plain numbers on the left side:

100.9 + x/4 = 39.1

Subtract 100.9 from each side:

x/4 = 39.1

Multiply each side by 4:

x = 156.4

Answer:

Step-by-step explanation:

To solve this, we have to first find the sum of each of the terms on the numerator of the fraction on the right:

31.7 + 42.8 + 26.4 + x = 100.9 + x

The sum of terms ind the numerator of the fraction on the right.

39.1 + 100.9 + x= 140 + x

Next step is to cancel out the denominators as they are equal.

Now we are left with

100.9+x = 140+x

Rearrange and solve

To get x = 156.4

Answer:

  3x +2y = 0

Step-by-step explanation:

Swapping the x- and y-coefficients and negating one of them will get you a perpendicular line. Since you have not specified a point, we can make it go through the origin:

  3x +2y = 0

Answer:

Coordinate of C =  (22, 20)

The Complete Question related to this found at ELEVISE website is stated below:

A pattern is made from four identical squares. The sides of the squares are parallel to the axes. Point A has the coordinates (6, 7)

Point B has the coordinates (38, 36)

Point C is marked on the diagram.

Work out the coordinates of C.

Step-by-step explanation:

Coordinates (x, y)

Point A has the coordinates (6, 7)

Point B has the coordinates (38, 36)

Find attached the drawing

From the labelled diagram

Change in y = 36-7 = 29

Change in x = 38-6 = 32

Using the horizontal axis:

The length of congruent 4 squares is between 38 and 6 = 32

The length of each congruent 4 squares = 32/4

The length of each congruent 4 squares = 8

Therefore the dimensions of the square is 8 by 8

Coordinate of C (x, y)

For x axis = 38 - length of 2 squares OR 6+ length of 2 squares

38 - length of 2 squares =38 - 2(8)

= 38-16 = 22

For y axis = 36 - length of 2 squares

= 36 - 2(8)

= 36-16 = 20

Coordinate of C =  (22, 20)

Answer:

The equation representing the new path is;

[tex]y = \dfrac{1}{3} \cdot x + 7[/tex]

Step-by-step explanation:

The equation of the first walking park across the park is y = -3·x - 3

By comparison to the equation of a straight line, y = m·x + c, where m = the slope of the line, the slope of the line y = -3·x - 3  is -3

The park's new walking path direction = Perpendicular to first walking path

A line perpendicular to a line of  (as example) y = m₁·x + c has a slope of -1/m

∴ The park's new walking path slope = -1/(Slope of first path) = -1/(-3) = 1/3

The point the paths will intersect = (-3, 6)

The equation of the line is found by recalling that [tex]Slope, \, m_1 =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Where:

y₂ and x₂ are coordinates of a point on the new walking path

y₁ and x₁ are coordinates of a point on the new walking path intersecting the first walking path

Given that (-3, 6) is the intersection of the two walking paths, therefore, it is a point on the new walking path and we can say x₁ = -3, y₁ = 6

Therefore, we have;

[tex]Slope, \, m_1 =\dfrac{y_{2}-6}{x_{2}-(-3)} = \dfrac{y_{2}-6}{x_{2}+3} =\dfrac{1}{3}[/tex]

Which gives;

(y₂ - 6) × 3 = x₂ + 3

y₂ - 6 = (x₂ + 3)/3

y₂ = (x₂ + 3)/3 + 6  = 1/3·x₂ + 1 + 6 = 1/3·x₂ + 7

Which gives the equation representing the new path as [tex]y = \dfrac{1}{3} \cdot x + 7[/tex].

Step-by-step explanation:

It's given that <KPL and <JPL are linear pair so when we add both we will get 180° so

<KPL + <JPL = 180° [ Being linear pair ]

2x + 24 + 4x + 36 = 180

6x + 60 = 180

6x = 120

x = 120/ 6

Therefore x = 20

Now

x = 20

m<KPL = 2x + 24 = 2 * 20 + 24 = 64

m<JPL = 4x + 36 = 4 *20 + 36 = 116

1 pound = 16 ounces.

9 pounds of sand x 16 = 144 total ounces of sand.

144 ounces / 6 ounce bottle = 24

He made 24 bottles.

Answer:

24 bottles

Step-by-step explanation:

Trevor bought 9 pounds of sand

He fills 6-ounce bottles

First let's convert pounds to ounces:

Now, number of bottles required:

Answer:

The mean number of students in a Statistics class = 25.47

The standard deviation of the number of students in a Statistics class = 1.081.

Step-by-step explanation:

We are given the following probability distribution for the number of students in statistics classes below;

     X                      P(X)                    [tex]X \times P(X)[/tex]                 [tex]X^{2} \times P(X)[/tex]

    23                     0.08                       1.84                          42.32

    24                     0.12                        2.88                         69.12

    25                     0.15                        3.75                         93.75

    26                     0.55                       14.3                          371.8

    27                    0.10                         2.7                          72.9      

  Total                    1                         25.47                      649.89  

The missing value against value 26 is calculated as;

       = 1 - (0.08 + 0.12 + 0.15 + 0.10) = 0.55

The mean of the following data is given by;

          Mean,[tex]\mu[/tex]  =  [tex]\sum X \times P(X)[/tex]  = 25.47

The variance of the following data is given by;

         Variance,[tex]\sigma^{2}[/tex]  =  [tex]\sum X^{2} \times P(X) - (\sum X \times P(X))^{2}[/tex]

                          =  [tex]649.89 - (25.47)^{2}[/tex]

                          =  1.1691

Standard deviation =  [tex]\sqrt{1.1691}[/tex] = 1.081                

Answer:

Solution,

Let the length and breadth of smaller rectangle be l and b.

Length and breadth of larger rectangle be 3L and 3 b.

Besides, depth is same in both beds.

As area of small rectangle=180

Area of larger rectangle:

[tex]3l \times 3b \\ = 9lb \\ = 9 \times 180 \\ = 1620 \: kg[/tex]

Hope this helps..

Good luck on your assignment..

Answer:

B. 3/5 is correct.

Step-by-step explanation:

P(A or B) is the number of students within either set (circle) divided by the total number of students (10).

There are 6 students (3+1+2)  in the sets, so

P(A or B) = 6/10 = 3/5

Answer B. 3/5 is correct.

The value of P(A or B) from the Venn diagram is 2/5.

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

We have,

Event A = Students that play basketball

Event B = Students that play Soccer

Now,

From the Venn diagram,

P(A) = 3/10

P(B) = 2/10

P(A ∩ B ) = 1/10

Now,

P(A or B) = P(A U B ) = P(A) + P(B) - P (A ∩ B)

So,

P(A U B )

= P(A) + P(B) - P (A ∩ B)

= 3/10 + 2/10 - 1/10

= (3 + 2 - 1) / 10

= 4/10

= 2/5

Thus,

The value of P(A or B) is 2/5.

Learn more about the Venn diagram here:

https://brainly.com/question/1605100

#SPJ7

Answer:

-4

Explanation:

when subtracting a positive integer from a negative, the answer becomes smaller. If the question were to ask -3-(-1) negative 3 minus negative 1, the subtraction sign becomes a addition sign, and you add 1 to -3.

Answer: -4

Step-by-step explanation: To subtract the integers -1 - 1, I would first change the minus sign to plus a negative.

So we have -1 + -1.

Now let's use a number line to find our answer.

Starting at 0, -3 moves us 3 units to the left, then from there,

-1 moves us 1 more unit to the left and we end up at -4.

So -3 + -1 is -4.

the answer is ur guy

Answer:

[tex]\boxed{}[/tex] =1,000

Step-by-step explanation:

We want to solve: [tex]2{,}000 \times 9[/tex]

Now, 2000=1000 X 2

We were given the following steps:

[tex]S$tep 1: \boxed{1000} \times \ 2 \times 9\\S$tep 2: =\boxed{1000} \times \ 18\\S$tep 3: =18,000[/tex]

Therefore, the blank space is to be filled with 1000.

[tex]2{,}000 \times 9 =18{,}000[/tex]

Answer:

2/9 * (-4 - 3) + 3

= 2/9 * (-7) + 3

= -14/9 + 3

= -14/9 + 27/9

= 13/9

Answer:

No... El 2 porsiento del 2 porsiento del 2 porsiento de 100 es 0.0008.

Step-by-step explanation:

100 * 2% = 100 * 0.02 = 2

2 * 2% = 2 * 0.02 = 0.04

0.04 * 2% = 0.04 * 0.02 = 0.0008

Answer:

radius =6, circumference=37.7 m

Step-by-step explanation:

radius=12/6, circumference=2*pie*r

2*22/7*6=37.7 m

Answer:

Circumference of a circle = 2πr

where r is the radius

radius = diameter / 2

radius = 12 / 2 = 6 m

radius is 6 meters

Circumference = 2π×6

= 12π

= 37.7 meters

Hope this helps

Answer:

A is the correct option.

Step-by-step explanation:

1/12 = 0.0833333333

Answer:

Option A

Step-by-step explanation:

=> [tex]\frac{1}{12}[/tex] = 0.8333.........

=> [tex]\frac{7}{8}[/tex] = 0.875

=> [tex]\frac{14}{25}[/tex] = 0.56

=> [tex]\frac{17}{20}[/tex] = 0.85

=> [tex]\frac{6}{10}[/tex] = 0.6

So, 1/12 is the repeating decimal whose digits are periodic and repeats infinitely.