the perimeter of Jared's property is 56 yards. how many feet of fence will Jared need if he wants to enclose the whole property?

Answer:

There is likely an association because 0.8 is not similar to ≈ 0.33.

The mean of the quiz scores is given by the equation M = 86 %

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the mean of the quizzes be represented as M

Now , the equation will be

Let the number of quizzes be n = 5

Let the scores of each quizzes be represented by set A

Set A = { 95% , 95%, 80%, 85%, 75% }

So , the mean of the quizzes M = sum of the quizzes / number of quizzes

Substituting the values in the equation , we get

The mean of the quizzes M = ( 95% + 95% + 80% + 85% + 75% ) / 5

The mean of the quizzes M = ( 430/5 )

The mean of the quizzes M = 86 %

Therefore , the value of M is 86 %

Hence , the mean of the quizzes is 86 %

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the length of side VY is equal to the height, which is 19.4 units. The formula for the perimeter of a rectangle is given as `2 * (base + height)`.

It's correctly stated that the base of the rectangle is `3y + 1`, and the height is `2y + 3`. The perimeter is given as `90 units`.

To find the dimensions, we set up an equation using the formula for the perimeter:

  90 = 2 * [(3y + 1) + (2y + 3)]

  This equation represents that the perimeter is equal to twice the sum of the base and height.

The equation is then simplified:

  90 = 2 * [5y + 4]

  By dividing both sides by 2, it becomes:

  5y + 4 = 45

  Solving for y:

  5y = 45 - 4

  5y = 41

  y = 41 / 5

  y = 8.2 units

  So, the value of y is correctly determined as 8.2 units.

With the value of y known, the base and height expressions are evaluated:

  Base: `3y + 1 = 3 * 8.2 + 1 = 24.6 + 1 = 25.6 units`

  Height: `2y + 3 = 2 * 8.2 + 3 = 16.4 + 3 = 19.4 units`

The dimensions of the rectangle are correctly calculated as follows:

  Base: 25.6 units

  Height: 19.4 units

  It's also mentioned that the length of side VY is equal to the height, which is 19.4 units.

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The height of the drive-in movie theater screen can be determined using proportions and similar triangles. The total height of the screen is found to be 11.7 feet.

To find the height of the screen, you'll need to use similar triangles, as the triangle formed by your line of sight to the top and bottom of the screen is similar to the triangle formed by the screen and the ground. The proportion of the vertical distance from your eye to the ground and the horizontal distance from you to the screen is equal to the proportion of the height of the screen and the horizontal distance from you to the screen. Hence, you can calculate the height of the screen using a cross-multiplication.

So, we have the equation: 5.7/11 = h/11, where h is the height of the screen from your eye level. Solving this gives us h=5.7 feet. Thus, the total height of the screen is the height from the ground to your eye level plus the height of the screen from your eye level. So, the total height = 5.7 feet + 6 feet = 11.7 feet.

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Answer:

Option: A is the correct answer.

      A)  Period: 3 , amplitude : 1.5

Step-by-step explanation:

We know that Period of a function is the smallest value such that the function repeats after a fixed time.

and also the amplitude of the function is the height above or below the mid-line.

After looking at the graph we see that the period of the function is: 3

Since the function is repeating itself after every x=3.

Also, the mid-line of the function is: y= -0.5.

Hence, the height above the mid-line is: 1+0.5 = 1.5

        Hence, amplitude= 1.5

Answer:

The answer is A) 2.

Step-by-step explanation:

The best way would be to use intervals of 2.

We know that the shortest persons 48 inches and the tallest 60 inches.

The difference between the tallest person and the shortest is:

60 - 48 = 12 inches

Since the difference is small, we might use intervals smaller than 12 because if we used intervals of 12, we wouldn't know for sure the heights of the other students, and we would have to estimate their heights.

Using intervals of 8 would be the same, we would have to estimate the heights of most students.

Using 5 , would also not be a good choice because 5 is not a multiple of 48, 60 or 12, therefore, that

Therefore, 2 would be the best option, as you don't have to estimate and the intervals would match the shortest and tallest height.

Eliminate parentheses using the distributive property.

... 5x = 10x -10x +15

Collect terms, then divide by the coefficient of x.

... 5x = 15

... x = 3

Answer:

the answer is x = 9 cm

Step-by-step explanation:

The correct equation of the parabola in intercept form is [tex]2 (x+2)^2 -50[/tex].

To derive this equation, we will use the fact that the parabola passes through the given point (1,32) and has x-intercepts at -7 and 3.

[tex]y = k*(x+7)(x-3)[/tex]

[tex]y = k *(x^2 + 4x - 21)[/tex]

[tex]32 = k ( 8 * -2)32 = -16* kk = 32/-16 = -2[/tex]

[tex]y = -2(x+7)(x-3)[/tex]

[tex]= -2(x^2 + 4x - 21)[/tex]

[tex]= -2(x^2 +4x ) -42[/tex]

[tex]= 2(x^2 + 4x + 4) - 42 - 8[/tex]

[tex]= 2 (x+2)^2 -50[/tex]

Let the number of water pumps be n and the time taken to fill the pool is t.

Now, we can see that higher the number of water pumps, lesser the time to fill the pool.

It means quantities  vary indirectly.

Thus, [tex]n=\frac{k}{t} , \text{ where k is the constant of variation}[/tex]

Now, we have been given that It takes four identical water pumps 6 hours to fill a pool.

Thus, we have

[tex]4=\frac{k}{6} \\ \\ k=24[/tex]

Hence, constant of variation is 24.

Now, we have to find the time that  three pumps will take to fill the same pool.

[tex]3=\frac{24}{t} \\ \\ 3y=24\\ \\ y=\frac{24}{3} \\ \\ y=8[/tex]

Hence, it will take 8 hours to fill the pool by three identical pumps.