A landowner wishes to use 3 miles of fencing to enclose an isosceles triangular region of as large an area as possible. What should be the lengths of the sides of the triangle? Let x be the length of the base of the triangle. Write the area as a function of x. [First write the length of the equal-length sides in terms of the base, x, then write the height of the triangle in terms of the base.] V3 A(x) = 4 x Length of base = 1 miles Length of the other two (equal-length) sides = 2 x miles each

Answer:

djhvfhdvfhdfjhdjf

Step-by-step explanation:

dhfhjegfjhdbjfhbdjfgsdj

Answer:

8÷(x+3)

Step-by-step explanation:

it doesnt specify what number you add with 3 so you substitute it with a variable such as x.

The sum is adding so x +3 and then divide by 8

Answer:

I'm pretty sure it's 12) ( f * g) (x)

Step-by-step explanation:

Let me know if that's wrong and I'll do my best to fix it!

Step-by-step explanation:

speed = distance/time

time = t = distance/speed

t = 180/b + (400-180)/c = 180/b + 220/c = 20(9/b + 11/c)

Answer:

20 degreese i belive but hey if you would can we ft instead of you marking me brainlyist

Step-by-step explanation:

Answer:

x = 40

Step-by-step explanation:

180 - 110 = 70 (The value in left corner at bottom)

70 + 50 = 120 (Combined values apart from x)

180 - 120 = x (Total triangle amount - combined amount to get x)

x = 40

Answer:

\(\frac{11}{25}\)

Step-by-step explanation:

In the experiment that was conducted the coin was tossed a total of 75 times and out of those times it only landed on tails 33 times. Therefore the experimental probability of the coin landing on tails can be calculated by the dividing the times it landed on tails by the total number of times it was tossed. Like so...

\(\frac{33}{75}\) or 0.44

This fraction can also be simplified to its simplest form of \(\frac{11}{25}\) which is obtained by dividing both the numerator and denominator by 3

If a quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is (4, 6), the vertex of the function defined as g(x) = f(x +2) - 2 is (2, 4).

In Mathematics, the translation a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.

In Geometry, the function g(x) = f(x + 2) - 2 simply means shifting a graph of the parent function by 2 units to the left and 2 units down.

In this context, we can reasonably infer and logically deduce that the vertex of the image g(x) is given by;

Vertex = (4 - 2, 6 - 2)

Vertex = (2, 4).

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Answer:

90

Step-by-step explanation:

2^a=√64   2^a=8   a=3

b/3=3   b=3*3   b=9

a²+b²=3²+9²=9+81=90

The maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

maximize: z = c1x1 + c2x2 + ... + cnxn

subject to

a11x1 + a12x2 + ... + a1nxn ≤ b1

a21x1 + a22x2 + ... + a2nxn ≤ b2

am1x1 + am2x2 + ... + amnxn ≤ bmxi ≥ 0 for all i

In our case,

the given LP is:maximize: z = 36x1 + 30x2 - 3x3 - 4x

subject to:

x1 + x2 - x3 ≤ 5

6x1 + 5x2 - x4 ≤ 10

xi ≥ 0 for all i

We can rewrite the constraints as follows:

x1 + x2 - x3 + x5 = 5  (adding slack variable x5)

6x1 + 5x2 - x4 + x6 = 10  (adding slack variable x6)

Now, we introduce the non-negative variables x7, x8, x9, and x10 for the four decision variables:

x1 = x7

x2 = x8

x3 = x9

x4 = x10

The objective function becomes:

z = 36x7 + 30x8 - 3x9 - 4x10

Now we have the problem in standard form as:

maximize: z = 36x7 + 30x8 - 3x9 - 4x10

subject to:

x7 + x8 - x9 + x5 = 5

6x7 + 5x8 - x10 + x6 = 10

xi ≥ 0 for all i

To apply the simplex algorithm, we initialize the simplex tableau as follows:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |   0    |  36    |   30   |   -3   |   -4   |    0    |

---------------------------------------------------------------------------

x5|   0   |   1    |   0    |   1    |   1    |   -1   |   0    |    5    |

---------------------------------------------------------------------------

x6|   0   |   0    |   1    |   6    |   5    |   0    |   -1   |   10    |

---------------------------------------------------------------------------

Now, we can proceed with the simplex algorithm to find the optimal solution. I'll perform the iterations step by step:

Iteration 1:

1. Choose the most negative coefficient in the 'z' row, which is -4.

2. Choose the pivot column as 'x10' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 5/0 = undefined, 10/(-4) = -2.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to

make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |  0.4   |  36    |   30   |   -3   |   0    |   12    |

---------------------------------------------------------------------------

x5|   0   |   1    |  -0.2  |   1    |   1    |   -1   |   0    |   5     |

---------------------------------------------------------------------------

x10|   0  |   0    |   0.2  |   1.2  |   1   |   0    |   1    |   2.5   |

---------------------------------------------------------------------------

Iteration 2:

1. Choose the most negative coefficient in the 'z' row, which is -3.

2. Choose the pivot column as 'x9' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 12/(-3) = -4, 5/(-0.2) = -25, 2.5/0.2 = 12.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

---------------------------------------------------------------------------

z |  0    |   0    |  0.8   |  34    |   30   |   0    |   4    |   0     |

---------------------------------------------------------------------------

x5|   0   |   1    |  -0.4  |   0.6  |   1    |   5   |   -2   |   10    |

---------------------------------------------------------------------------

x9|   0   |   0    |   1    |   6    |   5    |   0   |   -5   |   12.5  |

---------------------------------------------------------------------------

Iteration 3:

No negative coefficients in the 'z' row, so the optimal solution has been reached.The optimal solution is:

z = 0

x1 = x7 = 0

x2 = x8 = 10

x3 = x9 = 0

x4 = x10 = 0

x5 = 10

x6 = 0

Therefore, the maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

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The graph with a point at (-2,3) and a point at (2,3) is shown below.

Here's a graph with a point at (-2,3) and a point at (2,3):

  y

  ^

  |

  |    ● (2,3)

  |

  |                          (x, y)

  |

  |

  |__________________________→ x

The point (-2,3) is represented by a dot (●) on the left side of the x-axis at y = 3. The point (2,3) is represented by a dot (●) on the right side of the x-axis at y = 3.

Both points share the same y-coordinate, indicating that they lie on a horizontal line.

The graph locating the points (-2, 3) and (2, 3) is attached below.

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The velocity function is s'(t) = 6t - 2, and the units are feet per minute. The acceleration function is s''(t) = 6, and the units are feet per minute squared.

a) To find the velocity, which is the derivative of the position function with respect to time, we need to use the limit definition of the derivative:

s'(t) = lim(h→0) [s(t+h) - s(t)] / h

= lim(h→0) [(3(t+h)2 - 2(t+h) + 1) - (3t2 - 2t + 1)] / h

= lim(h→0) [3t2 + 6th + 3h2 - 2t - 2h + 1 - 3t2 + 2t - 1] / h

= lim(h→0) [6th + 3h2 - 2h] / h

= lim(h→0) [6t + 3h - 2]

= 6t - 2

b) To find the acceleration, which is the derivative of the velocity function with respect to time, we need to take the derivative of the velocity function:

s''(t) = d/dt [6t - 2]

= 6

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a) The probability of selecting a blue marble is P ( B ) = 1/4

b) The probability of selecting a green marble is P ( G ) = 1/6

c) The probability of selecting not a green marble is P' ( G ) = 5/6

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the number of blue marbles = 3

Let the number of red marbles = 6

Let the number of green marbles = 2

Let the number of black marbles = 1

So , the total number of marbles = 12

So , the probability is given as

The probability of selecting a blue marble is P ( B ) = 1/4

The probability of selecting a green marble is P ( G ) = 1/6

The probability of selecting not a green marble is P' ( G ) = 5/6

Hence , the probability is solved

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The complete question is attached below :

There are 3 blue marbles, 6 red marbles, 2 green marbles and 1 black marble in a bag. Suppose you select one marble at random. Find the probability for each of the following.

Since their were no numbers to the questions i had to write it by the problem

Circle with 9 feet question

C=2(pi)r or C=(pi)d

Circular table question

A=(pi)r^2

Interest question

I=Prt

Volume of a rectangular prism

V=Bh

Triangular pyramid

V=1/3Bh

Answer:

"The coefficient of x²-term must be positive"

in other words,

A is correct

Step-by-step explanation:

Answer:

D. The coefficient of the x²-term can't be zero.

Step-by-step explanation:

I hope it's right

Answer: 7/3

Step-by-step explanation: From the leftmost, lower point to the uppermost point, you move upwards 7, and rightward 3. Slope is vertical movement over horizontal, giving 7/3.

Betty's children have greater age dispersion than Ryan's children. Their ages range from 10 to 17, while Ryan's children range from 2 to 17.

Betty's children have the greatest dispersion. Dispersion refers to the extent to which the values in a set of data are spread out. The difference between the youngest and oldest child in Betty's family is 7 years, while the difference in Ryan's family is 15 years. The greater difference indicates a higher level of dispersion, meaning Betty's children have a greater range of ages and are spread out over a larger range of values than Ryan's children.

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The number of coins of nickels and dimes will be 16 and 2, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Jacob has $1 worth of nickels and dimes. He has a total of 18 nickels and dimes altogether.

Let 'x' be the number of nickels and 'y' be the number of dimes. Then the equations are given as,

x + y = 18                          ....1

0.05x + 0.10y = 1             ....2

From equations 1 and 2, then we have

0.05(18 - y) + 0.10y = 1

0.90 - 0.05y + 0.10y = 1

0.05y = 0.10

y = 2

Then the value of the variable 'x' is given as,

x + 2 = 18

x = 16

The number of coins of nickels and dimes will be 16 and 2, respectively.

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The measure of angles are ∠S = 35°,  ∠T = 145°, ∠U = 35°,  ∠V = 145°,  ∠W = 35°, ∠X = 145°,  ∠Y = 35° and  ∠Z = 145°.

When a transversal splits two parallel lines, the two intersections create a number of angles as given in the picture.

When the angles are formed by a transversal the corresponding angles are equal in measure. Similarly, the angles which are vertically opposite are also equal in measure

Here we have  

A transverse cuts two parallel lines  

Given that the measure of ∠W = 35°    

Here ∠W = ∠ Y   [ ∵ vertically opposite angles ]  

=> The measure of ∠Y = 35°  

From the straight line,

∠W + ∠Z = 180°  [ pair of linear angles ]

=> 35° + ∠Z = 180°

=> ∠Z = 180° - 35°  

=> ∠Z = 145°    

Here measure of ∠Z = measure of ∠X   [ ∵ vertically opposite angles ]    

=> Measure of ∠X = 145°          

Since the given lines are parallel lines

=> ∠W = ∠S = 35°    [ ∵ corresponding angles ]  

=> ∠U = ∠W = 35°    [ ∵ vertically opposite angles ]  

=> ∠T =  ∠X = 145°   [ ∵ corresponding angles ]    

=> ∠X = ∠V = 145°    [ ∵ vertically opposite angles ]  

Therefore,

The measure of angles are ∠S = 35°,  ∠T = 145°, ∠U = 35°,  ∠V = 145°,  ∠W = 35°, ∠X = 145°,  ∠Y = 35° and  ∠Z = 145°.

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Answer:

\(\frac{4+16a^3+23a^3}{a^2}\)

Step-by-step explanation:

Given

\(1/a^2-3a+2 + 1/a^2-5a+6 + 2/a^2-8a+15\)

Required

Simplify

\(1/a^2-3a+2 + 1/a^2-5a+6 + 2/a^2-8a+15\)

Collect Like Terms

\(1/a^2 + 1/a^2 + 2/a^2-3a-5a-8a+2+6+15\)

\(1/a^2 + 1/a^2 + 2/a^2-16a+23\)

Add Fractions:

\(\frac{1+1+2}{a^2} + 16a + 23\)

\(\frac{4}{a^2} + 16a + 23\)

This can be further expressed as:

\(\frac{4+16a^3+23a^3}{a^2}\)

Answer:

NO

Step-by-step explanation:

For a relation to be a function, every input (x-value) must have exactly one output (y-value) mapped to it or related to it.

This means, in a function, an input value cannot give you two different outputs.

Therefore, relation shown in the arrow diagram IS NOT A FUNCTION, because one of the inputs (x-value), which is 1.2, has two different outputs (y-value) that is mapped or related to it, which are 6 and 8.

The demand function for the shirts of a concert-promoting company which has been selling an average of 175 T-shirts at performances for $23 each is y=175-6.08x.

The demand function is the function

\(Q=a-bP\)

Here, Q is linear demand curve, a factor which influence the demand, b is slope and P is price.

A concert-promoting company has been selling an average of 175 T-shirts at performances for $23 each. Thus, the total selling price is,

\(P=175\times23\\P=4025\)

The company estimates that for each dollar that the price is lowered, an additional 25 shirts will be sold.  Thus, the total number of

\(23=175-25b\\23-175=-25b\\b=\dfrac{152}{25}\\b=6.08\)

Put the values in, the function for X number of shirt and y price,

\(y=175-6.08x\)

Hence, the demand function for the shirts of a concert-promoting company which has been selling an average of 175 T-shirts at performances for $23 each is y=175-6.08x.

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To answer this question, we can proceed as follows:

1. We have that the change is (in percentage):

Then, we have:

Therefore, the percent increase was about 5.1%.

The distance from his home to his work place is 118.125 miles

He drove from home to work at an average speed of 45 mph. Therefore,

speed = 45 mph

let

time = x

speed = distance / time

distance = 45x

His return trip home took 45 minutes longer because he could only drive at 35 mph. Therefore,

45 minutes = 0.75 hours

distance = 35(x + 0.75)

distance = 35x + 26.25

Therefore,

45x = 35x + 26.25

45x - 35x = 26.25

10x = 26.25

x = 26.25 / 10

x = 2.625

Therefore,

distance = 45(2.625) = 118.125 miles

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Answer:

One side length is 17. Because you square root 289 to figure out the side length.

Step-by-step explanation:

The area of a square is a side length * a side length

or l^2 = 289

sqrt or 289 = 17

Answer:

They did not run at the same speed. Calculation of their speed shows that Jada was running at a higher speed.

Step-by-step explanation:

Let's first calculate the speed of each person using the units provided so that we  do not complicate the question.

speed =  distance covered/time taken

Andre's speed = 2 km/15 min = 0.133 km/min

Jada's speed = 3km/20 min = 0.15 km/min

Clearly we can see that Jada was running at a higher speed than Andre. The question says they were running at constant speed not equal speed. That just means each person maintained their speed, they did not get faster or slower.

Answer:

(-6,3)

Step-by-step explanation:

H is 1 point above y=4, so H' will be 1 point below y=4.

Hope this helps!

ibrahim

Answer:

Read the explanation

Step-by-step explanation:

Explanation:

When multiplying and dividing more than two positive and negative numbers, use the Even-Odd Rule: Count the number of negative signs — if you have an even number of negatives, the result is positive, but if you have an odd number of negatives, the result is negative. This problem has just one negative sign

Answer:

Step-by-step explanation:

Given,

2x = 81 - x [Vertically opposite angles]

=> 2x + x = 81

=> 3x = 81

=> x = 81 ÷ 3

=> x = 27 (Ans)

Answer:

take 300 time 12 months. take that nber times 18 years. then times that number by .07.

all together there is almost a $5000 difference. that is almost the total of having put 300 in the account for another 2 years without the apr

Step-by-step explanation:

Answer:

The answer is 129,216.31. Hope it helps

Step-by-step explanation: