Guybrush owns an island monkey preserve which has a length of 2x + 1 units and a width of x – 4 units. If the island is 1,586 square units in size, what are the dimensions of the island? A. 30 units by 30 units B. 30 units by 26.5 units C. 13 units by 122 units D. 61 units by 26 units

The values of k for parallel and perpendicular in the equations 8y=4x+3 and 4y=k(x+5) are 7/12 and 1/21, respectively.

A line's slope determines how steep it is. A mathematical expression for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two points. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is used to represent it. The y-intercept is located at a point where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).

given

for parallel their slope will be equal

y1= 1x/2 + 3/8 .... eq1

y2= kx/4 + 5k/4  ..... eq2

y1 = y2

1x/2 + 3/8 = kx/4 + 5k/4

1/2 + 3/8 = k/4 + 5k/4

7/8 = 6k/4

k = 7/12

for perpendicular product of their slope is 1

y1 * y2 = 1

1x/2 + 3/8 * kx/4 + 5k/4 = 1

1/2 + 3/8 * k/4 + 5k/4 = 1

k = 1/21

so The values of k for parallel and perpendicular in the equations 8y=4x+3 and 4y=k(x+5) are 7/12 and 1/21, respectively.

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Answer:

Reflection across the Y axis and you would have to translate figure a down by some units. I dont know the units because i cant see the grid/graph so this is the farthest I can tell you

Step-by-step explanation:

Hope this helps :)

So the formula to find the volume of a cone is,

[tex]V = \pi r^{2} \frac{h}{3}[/tex]

Given,

To Find : The Volume of the cone

Applying the values we get,

[tex]V = 3.14X(3)^{2} X \frac{11}{3}[/tex]

[tex]V = 28.26X\frac{11}{3}[/tex]

[tex]V = 103.62in^{3}[/tex]

Hence , the volume of the cone is 103.62in³

Answer:

B

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

Answer: 60.2 inches

The perimeter of the triangle is 80.24 inches.

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given:

Altitude = 24 inches

Base = 11 inches

Half of the base = 11/2 = 5.5 inches

Using Pythagoras theorem:

Hypotenuse = √(24² + 5.5²)

Hypotenuse = √(576+ 30.25)

                     = √606.25

                     =  34.62 inches

Now, perimeter of a triangle

= (base + side 1 + side 2)

= (11 + 34.62+ 34.62)

= 80.24 inches

Hence, the perimeter of the triangle is 80.24 inches.

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We calculated length of model bird in the picture = 2 ¹⁵₁₆ inch and scale factor =1/2

It is expressed as the ratio of the dimension of a model object and dimension of an actual object.

A scale factor is a number which is multiplied by an object in order to form a proportional enlarged or reduced object.

Given, the length of an actual bird = 5⁷₈ inch = 47/8 inch

also given, 1 inch = 0.5 inch

   1 inch = 1/2 inch

we need to determine the length of model bird by multiplying the above factor.

now, length of model bird = 47/8 × 0.5 inch = 47/16 inch = 2¹⁵₁₆ inch

scale factor = length of model bird/ length of actual bird = 47/16 /47/8

scale factor = 1/2

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Answer:

Steps for How to Transform the Graph of a Cubic Function

Step 1: The standard form of a cubic function is y=a(x−h)3+k y = a ( x − h ) 3 + k , where a indicates a stretch or a shrink, h indicates a vertical shift, and k indicates a horizontal shift.

Step-by-step explanation:

Answer:

2000 workers

Step-by-step explanation:
All the workers: 100%
Women: 60%
Others: 40% = 800 workers
=> 1% of the workers: 800/40 = 20 workers
=> 100% = 20 x 100 = 2000 workers
(I can't think of another one)

Answer:

Correct Answer: 45 candidates

Step-by-step explanation:

Since 12% + 28% = 40%

40% of (75) = is 30 Candidates are selected\on hold and (45 candidates Are Rejected)

Hope this helped :)

The number of rejected will be 45 candidates. The correct option is A.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that at a walk-in interview, 12% of candidates can be selected, and 28% of candidates can be put on hold for the next hiring date. 75 candidates are interviewed,

The number of rejected candidates will be calculated as below:-

Total candidates = 12% + 28% = 40%

40% of (75) =30

Rejected candidates = 75 - 30 = 45

Therefore, the number of rejected will be 45 candidates. The correct option is A.

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Answer: 5

Step-by-step explanation:

1. Since you are told x=35. Plug it into x.

35-25

2. Simplify

35-25=5

Answer: 10

Step-by-step explanation:

x-25

substitute 35 for x

35-25 = 10

Answer:

A+B = 7-4w+5v +10wv + 7w +3wv - 12

=3w +5v +13wv-5

A-B= 7 - 4w +5v +10wv - (7w +3wv - 12)

=7 - 4w +5v +10wv - 7w - 3wv + 12

=19 - 11w +5v +7wv

B-A =7w +3wv - 12-(7 - 4w +5v +10wv)

=7w +3wv - 12 - 7 + 4w - 5v - 10wv

=11w - 7wv - 19 - 5v

Therefore , the solution of the given problem of algebra comes out to be

60 garden beds in the students plans.

Algebra, a subfield of mathematics, is concerned with symbols and the mathematical operations carried out on them. Because these symbols don't have predetermined values, they are referred to as variables. These symbols are additionally put through a variety of addition, subtraction, multiplication, and division arithmetic operations in order to obtain the values.

Here,

Given: actual flower bed: 18

This represents 30% of all garden beds.

Assume that x is the size of the entire flowerbed.

So, 30% of x= 18

30/100 x = 18

x= 1800/ 30

x= 60

60 garden beds are therefore planned by the students.

Therefore , the solution of the given problem of algebra comes out to be

60 garden beds in the students plans.

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Answer:

D. x = 0.5

Step-by-step explanation:

A graphing calculator is the quickest way to get to an answer here.

 f(x) = g(x) for x = 0.5

__

We can find the y-intercepts of the two functions to be ...

 f(0) = -3

 g(0) = -2

We know the x-intercept of g(x) is x=4. The x-intercept of f(x) will be a value less than 1, because f(1) = 1. (The function crosses the x-axis between x=0 where f(x) < 0 and x=1, where f(x) > 0.)

Considering these intercept points, we know the value of x for f(x)=g(x) will be between x=0 and x=1. There is only one answer choice in that interval:

 x = 0.5

Raffles are chance-based contests in which participants compete to win exciting prizes.

To participate, all you need is a ticket with a number on it. Following the sale of all tickets, a drawing is conducted during which a random selection of tickets is made. If you chance to have the winning ticket, congratulations! a lot of engagement.

Raffles elicit a great deal of interest and support because people enjoy playing games of chance, especially when they have the possibility to win a significant prize.

high income. Your organisation has a strong possibility of making some big money from ticket sales if engagement is high!

low price. A virtual free raffle can be found online! A virtual raffle is the most cost-effective type of fundraising because you won't need to print actual tickets, reserve a location for the drawing, or buy refreshments.

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Answer:

1/5 x X = 13

x5           x5

x = 65 in total

This is a simple cross multiplication problem! Any time you're given a ratio and then the actual quantity of something, you can use cross multiplication to figure out the quantity of the other thing!

We know that the ratio of toads to frogmen is 7 : 2. We also know there were 98 actual toads. Therefore we can set up our equations!

[tex]ratio_{toads}=ratio_{frogmen}\\actual_{toads}=actual_{frogmen}\\\\7=2\\98 = x\\\\7x=196\\x=28[/tex]

The first two equations above everything is how you would have everything set up! The second equations under them are the numbers plugged in, and the rest is just simplification.

So, your final answer should be 28 frogmen!

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say I love u

Step-by-step explanation:

Answer:

The answer is 2.27mm

Step-by-step explanation:

Answer:

5.66

Step-by-step explanation:

c^2= a^2 plus b^2

c^2 = 16 plus 16

c^2 = 32

c = 5.6568

Answer:

How many feet does a car travel in 1 second if it is moving at a rate of 75 mph? So you're going 110 ft per second. In other words, the car travels 110 feet in 1 second (and does so each second assuming you maintain the speed of 75 mph).

The distance (in feet) travelled by the car moving at 75 mph in one second is 110 feet

Speed is the distance travelled per unit time. Mathematically, it can be expressed as:

Speed = distance / time

1 mph = 1.467 fps

Therefore,

75 mph = 75 × 1.467

75 mph = 110.025 fps

Distance = speed × time

Distance = 110.025 × 1

Distance ≈ 110 feet

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9514 1404 393

Answer:

  P(0) = 4

  P(-2) = 2

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

  P(0) = 2·0³ +3·0² -0 +4

  P(0) = 4

__

  P(-2) = 2·(-2)³ +3·(-2)² -(-2) +4 = 2(-8) +3(4) +2 +4

  P(-2) = -16 +12 +2 +4

  P(-2) = 2

bro use a photo math...................

Answer:
3(y^2 + 1) + 2(y+4)

Step-by-step explanation:

2y^2 + 8.9 + 6y - 8.6 - 4y + y^2
= 2y^2 + y^2 + 6y - 4y + 8.9 - 8.6
= 3y^2 + 2y + 8(9-6)
= 3y^2 + 2y + 24
= 3y^2 + 2y + 3.2.2.2
= 3(y^2 + 1) + 2(y+4)

On solving the provided question, we can say that - the given triangles ECD and triangle PQR

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

here,

EC = PQ

CD = PR

ED = QR

therefore both triangles are similar by SSS property

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Answer:

A. 69°

Step-by-step explanation:

Given:

m<FED = 179°

m<NED = 19x - 4

m<FEN = 12x - 3

Required:

m<FEN

Solution:

m<NED + m<FEN = m<FED (angle addition postulate)

19x - 4 + 12x - 3 = 179 (substitution)

Add like terms

31x - 7 = 179

31x - 7 + 7 = 179 + 7

31x = 186

31x/31 = 186/31

x = 6

✔️m<FEN = 12x - 3

Plug in the value of x

m<FEN = 12(6) - 3 = 72 - 3

m<FEN = 69°

Answer:

j=30

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

9/1/3=9*3=27

Answer:

D. 27

Step-by-step explanation:

This is a simple division

[tex]9[/tex] ÷ [tex]\frac{1}{3}[/tex] =

[tex]\frac{9}{1}[/tex] ÷ [tex]\frac{1}{3}[/tex] =

Cross multiply

[tex]1[/tex] × [tex]1 = 1[/tex]

[tex]9[/tex] × [tex]3 = 27[/tex]

Set it up

[tex]\frac{27}{1}[/tex]

Then, the model represents 27

The average speed in laps per minute of Ryan is 2.5 laps per minute

From the question, we have the following parameters that can be used in our computation:

The above can be expressed as

(x, y) = (1, 5) and (3, 10)

The average speed in laps per minute can be calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Rewrite as

Average speed = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (1, 5) and (3, 10)

Substitute the known values in the above equation

So, we have the following equation

Average speed = (10 - 5)/(3 - 1)

Evaluate

Average speed = 2.5

Hence, the average speed is 2.5

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