A polynomial function that describes an
enclosure is
V(x) = 1500x-x^2
, where
X
is the length of the fence in feet. What is the maximum area of the enclosure? <<<

The area of the square A2 is 20 squared units

The complete question requires that we calculate the area of square A2

The side length of each square is 6 units.

So, the side length (L) of A2 is

L^2 = (2)^2 + (6 - 2)^2

This gives

L^2 = 20

The above represents the area of the square A2

Hence, the area of the square A2 is 20 squared units

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Answer:

Step-by-step explanation:

assuming you are looking for the area of ​​the triangles, there is no specific question, they are right-angled triangles congruent with the catheti of 2 and 4 units.

Triangle area = 1/2 base x height.

so 1/2 2 * 4 = 4 units^2

The option that's true about the plane illustrated is E. None of these.

From the information given, it should be noted that DBC isn't an isosceles triangle.

Also, from the figure, one can see that DAB isn't similar to DAC.

Likewise, BD and DC aren't perpendicular.

In conclusion, the correct option is E.

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The area and perimeter of the picture is 576 inches square and 96 inches respectively

Given that each frame is a rectangle and four frames makes up the picture

Note that the picture takes the shape of a square

Let's find the total perimeter

Perimeter of the picture = sum of the four rectangular frame perimeters

Perimeter = 24 + 24 + 24 + 24

Perimeter = 96 inches

Formula for area of a square = a^2

Where 'a' is the length of the side  = 24 inches

Substitute the value of 'a'

Area of the picture = 24^2

Area of the picture = 576 inches square

Thus, the area and perimeter of the picture is 576 inches square and 96 inches respectively.

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Answer:

0.075

Step-by-step explanation:

to convert a fraction to a decimal fraction

divide the numerator by the denominator, that is

[tex]\frac{3}{40}[/tex] = 3 ÷ 40 = 0.075

Answer:

-7

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

(x + 15 + 19 + 23 + 41) / 5 = 20

x + 15 + 19 + 23 + 41 = 100

x + 98 = 100

x = 2

Answer: it’s 2 (A)

Step-by-step explanation:

20 * 5 = 100

15 + 19 + 23 + 41 = 98

100-98=2

Answer:

$0.99 or 99 cents

Step-by-step explanation:

Since 6 ounces is worth $5.94, divide 5.94 by 6 to get the unit price. This is  $0.99 or 99 cents.

Answer:

[tex]y = x + 8[/tex]

Step-by-step explanation:

The equation of a line is:

[tex]y = mx + c[/tex]

Where m is the gradient (or as you call it, the slope), and c is the y-intercept. We already know what the slope is, therefore we need to find the y-intercept. You have been given the coordinates (-6, 2), but to find the y-intercept, X must be equal to 0. Since the gradient is 1, we know that for every value we add to X, we must add the same to y. To get from -6 to 0, we must add 6, so we must do the same 2, leaving our y-intercept coordinates as (0, 8), and our y-intercept as 8. Plugging in our values, we are left with the following equation:

[tex]y = x + 8[/tex]

The correlation coefficient of r = 0.51 shows that it's an accurate value for this data.

A scenario that would be a causal relationship can be the quantity of fertilizer used vs kg of pumpkins picked on the farm

There is a correlation between the number of hours of sunlight that a plant receives and the height to which it grows.

The function that best fits the data is y = 3x + 4.

The y-intercept indicates that the plant started at 4cm and the slope shows that with each hour of sunlight, the plant grows 3 inches.

The association between two variables that are correlated can be shown by a scatter plot which has a trendline along which the data points are located.

A correlation coefficient of r = 0.51 is accurate based on the scatter plot given. If the trendline slopes upwards from the left to the right, it shows a positive correlation and vice versa.

A scenario that would be a causal relationship can be the quantity of fertilizer used vs kg of pumpkins picked on the farm.

There is a direct correlation between the number of hours of sunlight that a plant receives and the height to which it grows. This can be seen through the growth in the plant.

The function is y = 3x + 4

When x = 0, y = 3(0) + 4 = 4.

In conclusion, y-intercept indicates that the plant started at 4cm and the slope shows that with each hour of sunlight, the plant grows 3 inches.

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The probability that it will rain both days is [tex]\frac{1}{4}[/tex].

According to the question

Mr. and mrs. smith plan to roof the cabin on 2 consecutive days.

Assuming that the chance of rain is independent of the day

Probability is the chance that some event will happen.

It is the ratio of the number of ways a certain event can occur to the number of possible outcomes.

Probability = Number of ways it can occur/Total number of outcomes

Probability of rain on first day = 1/2

Probability of rain on second day = 1/2

Then

Probability of rain on both days = [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = 1/4

Hence,

The probability that it will rain both days is [tex]\frac{1}{4}[/tex].

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Answer: $48 more

Step-by-step explanation: We use algebra. Let c = Carter and a = Ari. C+A = 240. A+16 = 2(C-16). 2C-32 + C-16 = 240. 3C - 48 is 240. 240+48 is 288. So, C is 96 and a is  144. 144- 96 = 48 more.

Answer: B. alternate interior angles.

Step-by-step explanation:

It will take 585 billion years to solve the puzzle tower of Hanoi puzzle.

What is hanoi of tower?

The Tower of Hanoi is a mathematical game or puzzle that uses three rods and a number of disks that can slide onto any rod. It is also known as The Problem of the Benares Temple, the Tower of Brahma, Lucas' Tower, or simply the pyramid puzzle. The disks are stacked on one rod at the start of the problem, the smallest at the top and roughly forming a conical shape.

Using the Tower of Hanoi as little as possible

In one version of the problem, 64 golden disks are being used by Brahmin priests to solve it.

Minimum moves required if you had 64 golden disks [tex]=2^{64}-1[/tex]

The problem would take around 585 billion years to solve if every move took a single second.

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For the given diagram, it has been proved that angle A is congruent to angle B.

Given Information:

Angle A and Angle B are such that,

Ray AC ║ Ray BE

Ray AD ║ Ray BF

Proof:

Since a straight line is the shortest line connecting two points in a plane,

Extend ray AD and ray BE, such that both intersect at point G.

Now, since, angle A and angle 1 both make corresponding angles,

∠A = ∠1 .......... (1)

Ray ADG is parallel to the ray BF.

Thus, again, angle B and angle 1 make corresponding angles,

∠B = ∠1 ............ (2)

From (1) and (2), as per transitive relationship of angles,

∠A ≅ ∠B

Hence proved.

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Answer: -8.

Step-by-step explanation:

-(2021.0,7+19,75)+2021.0,7-(8-19,75)=-2021.0,7-19,75+2021.0,7-8+19,75=-8.

The equation represents the parabola shown on the graph is  x^2 = - 8y . Option D

We were given the following parameters;

The standard for a parabola is given as;

y² = 4ax

It can also be written as;

x² = 4ay

Given the focus as ( -2, 0), we have the value of 'a' to be -2

Now, let's substitute the value into the standard equation of a parabola

x^2 = 4ay

x^2= 4 × -2 × y

Multiply through

x^2 = - 8y

The equation of the parabola is x^2 = - 8y

Thus, the equation represents the parabola shown on the graph is  x^2 = - 8y . Option D

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Answer:

b

Step-by-step explanation:

trust

Answer:

  334 in²

Step-by-step explanation:

The total surface area of the composite figure is the sum of the total area of the bottom cuboid and the lateral area of the top cuboid.

The area of a cuboid is given by the formula ...

  A = 2(LW +H(L+W))

For the bottom cuboid, the area is ...

  A = 2((9 in)(7 in) +(5 in)(9 in +7 in)) = 2(63 in² +5(16) in²) = 286 in²

The lateral area of a cuboid is the product of its perimeter and height. The perimeter is the sum of side lengths, or twice the sum of length and width.

  LA = Ph = (2(l +w))h

  LA = 2(5 in +3 in)(3 in) = 48 in²

The total surface area is the sum of the lateral area of the top cuboid and the total area of the bottom cuboid:

  SA = (48 in²) +(286 in²) = 334 in²

The surface area of the composite figure is 334 square inches.

__

Additional comment

The exposed area of the bottom cuboid is its total area less the area of the very top face.

The exposed area of the top cuboid is its lateral area plus the area of the very top face.

When we add these two exposed areas together, we find the area of the very top face is both subtracted and added from the sum of the total bottom area and the lateral top area. We skipped that step of adding and subtracting, because its net effect is zero.

Answer:

question no c 0•08

Step-by-step explanation:

at first

1/4+1/3-1/2

0•25+0.33-0.50

0.58-0.50

0.08 answer

Answer:

Find the interval of convergence of the following series

Possible Answers:

(4,6)

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Correct answer:

(4,6)

Explanation:Find the interval of convergence of the following series

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Find the interval of convergence of the following series

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Correct answer:

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Possible Answers:

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Correct answer:

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Explanation:

This polynomial has only 3 terms, so it is a trinomial. Hope it helps!

Answer:

12a^3b^2+18a^2b

Step-by-step explanation:

12 3b2+182b

Slope can be found between two points using the formula [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex].

If we substitute in your points (which is x and which is y does not matter as long as it is consistent), we will get

[tex]\frac{(4-1)}{(2-0)}[/tex].

Simplifying this further, your slope will be

[tex]\frac{3}{2}[/tex].

hope this helps!

Answer:

3.71

Step-by-step explanation:

The mean absolute deviation(MAD) of a data set is given by the formula

[tex]$ MAD =\frac{1}{n} \sum_{i=1}^n |x_i-\bar{x}|$[/tex]

[tex]n[/tex] = number of data set values. Here [tex]n = 7[/tex]

[tex]\bar{x}=[/tex] mean of the data set values; [tex]\bar{x}=[/tex] [tex](14+13+16+12+17+21+26)/7[/tex] = [tex]119/7=17[/tex]

[tex]x_{i}[/tex] are the n individual values

[tex]\frac{1}{7} |14-17| + |13-17| + |16-17| + |12-17| + |17-17| + |21-17| + |26-17|\\= (3 + 4 + 5 + 1+ 0 + 4 + 9)/7\\= 26/7 = 3.71428 \\[/tex]

= [tex]3.71 \textrm{ rounded to the nearest hundredth}[/tex]  Answer  

Answer:

5x-11<-11

group like terms

5x<11+11

5x<22

divide both sides by 5

Answer:

They are all true

Step-by-step explanation:

1. 3² +4² = 5²

3x3 + 4x4 = 5x5

  9   +  16  =  25

25 = 25

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

2. 6² + 8² = 10²

36 + 64 = 100

100 = 100

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

3. 9² + 12² = 15²

81 + 144 = 225

225 = 225

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

4. 5² +12² =13²

25 + 144 = 169

169 =169

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

The domain of the relation shown in the graph is -4 <= x <= 4

The complete question is added as an attachment

The relation on the graph is an ellipse function.

The domain is the set of x values the function can take

From the graph, we have the following x values

This means that the domain of x in the graph is -4 <= x <= 4

Hence, the domain of the relation shown in the graph is -4 <= x <= 4

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Answer:

3.89

Step-by-step explanation:

if 15.2 gallons cost 59.13.What about 1

then we just divide 59.13 by 15.2 to get the cost of 1 gallon

The variance for the sample is 25

For given question,

We have been given the sample size n = 21

and the sum of squares is SS = 500

We need to find the variance for the sample.

We know that the variance is mathematically represented as,

[tex]\sigma^2=\frac{SS}{n-1}[/tex]

Substituting given values in the above formula,

[tex]\Rightarrow \sigma^2\\\\=\frac{500}{21-1}[/tex]

= 500 / 20

= 25

So, the variance is 25

Therefore, the variance for the sample is 25

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There are total 95040 number of different groups of 5 items can be selected from 12 distinct item.

According to the given question.

Total number of items, n = 12

Total numbers of items to be selected, r = 5

Since, we have to determine the number of different groups of 5 items that can be selected from 12 distinct items. So, we will find the number of different groups by permulation formula i.e.

[tex]^{n} P_{r} = \frac{n!}{(n-r)!}[/tex]

Where,

[tex]^{n} P_{r}[/tex] is the total number of permutations.

n is the total number of objects.

r is teh total number of objects to be selected.

Therefore,

The number of different groups or permutaions of 5 items that can be selected from 12 distinct group

[tex]^{12} P_{5}[/tex]

[tex]= \frac{12!}{(12-5)!}[/tex]

[tex]= \frac{12!}{7!}[/tex]

[tex]= \frac{12\times11\times10\times9\times8\times7!}{7!}[/tex]

= 12 × 11 × 10 × 9 × 8

= 95040

Hence, there are total 95040 number of different groups of 5 items can be selected from 12 distinct item.

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