Write the vertex form equivalent of 3x^2-30x+73=y

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Hope it will help u...

Answer: 13

Step-by-step explanation: To get the mean we have to add all the numbers and then divide it by 7 because there are 7 numbers.

6+14+8+15+16+13+19=91

91 divided by 7 = 13

I hope this helps!

Answer: A, (y-1)^2/49-x^2/81=1

The given equations are both hyperbola equations with the center shifted to (0,1). They represent different graphs due to differences in their denominators. Hyperbola equations result in a graph of two separate curves, each one a mirror image of the other.

The equations (y-1)^2/49-x^2/81=1 and (y-1)^2/7-x^2/9=1 are both in the form of the hyperbola equation. This type of equation represents a graph that consists of two separate curves, each one a mirror image of the other, positioned about a central point called the center of the hyperbola. In these particular equations, the center of the hyperbola is shifted from the origin to the point (0,1).

Hyperbola equations are generally in the form (x-h)^2/a^2 - (y-k)^2/b^2 = 1 or (y-k)^2/a^2 - (x-h)^2/b^2 = 1

However, even though these equations are in the form of hyperbolas, they do not represent identical graphs. In the first equation, the y term is divided by 49 and the x term by 81, whereas in the second, these denominators are 7 and 9. These denominator values affect the shape and orientation of the hyperbolae, leading to different graphical representations for each equation.

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Answer:

The answer is d, 5.4

Step-by-step explanation:

Please mark me brainliest

Answer:

The area of the real tile is 20 cm².

Step-by-step explanation:

Plot the points provided on a graph using grid line representing 5 cm each as follows.

The diagram below shows that the model of the tile is in the shape of a kite.

The area of a kite is:

[tex]\text{Area of a Kite}=\frac{p\times q}{2}[/tex]

Here, p and q are the two diagonals.

The measure of diagonals p and q are:

p = 10 cm

q = 4 cm

Compute the area of the kite as follows:

[tex]\text{Area of a Kite}=\frac{p\times q}{2}[/tex]

                       [tex]=\frac{10\times 4}{2}\\\\=10\times 2\\\\=20[/tex]

Thus, the area of the real tile is 20 cm².

Laisha's tile, represented by a rhombus with coordinates (3, 4), (5, 10), (7, 4), (5, 0) on a grid where each line is 5 cm, has a real area of 250 square centimeters, calculated using the formula for the area of a rhombus.

The student is asking about calculating the area of a geometric shape based on its coordinates on a grid. To find the real area of Laisha's tile, we need to determine the shape represented by the given coordinates (3, 4), (5, 10), (7, 4), and (5, 0). Noting that each grid line represents 5 cm, it appears that the shape is a diamond or a rhombus, and we can calculate the area by finding the product of the lengths of the diagonals (the distance between (3, 4) and (7, 4) and the distance between (5, 10) and (5, 0)) divided by two.

The length of one diagonal is simply the distance between (3, 4) and (7, 4), which is 4 grid units, or 4 x 5 cm = 20 cm. The length of the other diagonal is the distance between (5, 10) and (5, 0), which is 10 grid units, or 10 x 5 cm = 50 cm. The formula for the area of a rhombus is (d1 x d2) / 2, where d1 and d2 are the lengths of the diagonals. Plugging in our values, we get (20 cm x 50 cm) / 2 = 500 [tex]cm^2[/tex] / 2 = 250 [tex]cm^2[/tex].

The real area of the tile is thus 250 square centimeters.

The measure of Arc DE is 39 degree.

The opposing angles formed when two lines cross. They are constantly on par. In this illustration, the angles a° and b° are vertical. The term "vertical" refers to the vertex, not up or down, where they cross.

Given:

From figure:

m<APB + m<APE = 180 (Linear pair)

4w+ 8 + 4w + 4= 180

8w + 12= 180

8w = 168

w = 21

Also, <APB = <PED + <DPC (Vertical opposite angle)

4w+ 8 = <PED + 2w+ 11

92 = <PED + 53

<PED = 39

So, the measure of Arc DE is 39 degree.

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Answer:The mode is equal to the minimum

Step-by-step explanation:

Find out the mean, median, mode and minimum

minimum = 48

mean = 50.4

mode = 48

median = 50

Answer:

The mode is equal to the minimum

Step-by-step explanation:

Find out the mean, median, mode and minimum

minimum = 48

mean = 50.4

mode = 48

median = 50

Answer:

72 & tends to increase

Step-by-step explanation:

just took the test

A student who slept for 5 hours could be expected to score around 68.5,

According to the given information:

The table is,

x           y

4           62

6           75

6           88

8           79

10          97

Now create a scatterplot of the data.

Use the trend line equation to make a prediction for what test score you would expect if a student slept for 5 hours.

From the scatterplot,

The trend line equation is y = 4.3x + 52.4.

To find the predicted test score for x = 5, substitute x = 5 into the equation:

y = 4.3(5) + 52.4 y = 75.9

So you would expect a student who slept for 5 hours to have a test score around 75.9.

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Answer:

About 5.73 cm

Step-by-step explanation:

C=2πr so

36=2πr (divide by 2)

18=πr (using 3.14 as π)

18=(3.14)r (divide by 3.14)

r=5.732484076 so

R≈5.73 cm

Final answer:

The radius of a circle with a circumference of 36cm is approximately 5.73cm, calculated by dividing the circumference by the product of 2 and Pi (
).

Explanation:

Calculating the Radius from the Circumference

The circumference of a circle is closely related to its radius through the mathematical constant  which is approximately 3.14159. The circumference (C) can be expressed using the formula C = 2
r, where r is the radius. Given that the circumference is 36cm, we can rearrange the formula to solve for the radius: r = C / (2
r). Substituting the given circumference into the equation, we get:

r = 36cm / (2
3.14159)

By performing the division, we can find the radius of the circle:

r = 36cm / (2 * 3.14159)
r = 36cm / 6.28318
r ≈ 5.73cm

Therefore, the radius of the circle is approximately 5.73cm.

Answer:

50

Step-by-step explanation:

The inside of a triangle equals 180 and so you subtract the other two values(100 and 30) to 180 and you get 50.

Answer:

50

Step-by-step explanation:

The sum of the angles of a triangle add to 180

A+B+C = 180

A + 100+ 30 = 180

A + 130= 180

Subtract 130 from each side

A+130-130= 180-130

A = 50

Answer:

d= 28%

Step-by-step explanation:

Answer:

50 degrees

Step-by-step explanation:

It would be 50 degrees because angle CGD is directly across so the angle measures would be the same

Answer:

Set the factors equal to 0.

(5k - 3)(9 + k) = 0

The zero product property states that if two terms being multiplied have a product of zero, then at least one of them must be zero.  In our case, this means we can set both (5k - 3) and (9 + k) equal to 0:

5k - 3 = 0

5k = 3

k = 3/5

9 + k = 0

k = -9

The value of k is 3/5 and -9.

Answer:

what am I suppose to solve the difference of minutes is 13

Answer:

Discriminant = 84

The polynomial has two real distinct roots

Step-by-step explanation:

Given: [tex]f(x)=3x^2+12x+5[/tex]

To find: discriminant of the given function and number of distinct real zeros

Solution:

For a polynomial [tex]f(x)=ax^2+bx+c[/tex] , discriminant is given by [tex]D=b^2-4ac[/tex]

If [tex]D>0[/tex], then the polynomial has two real and distinct roots.

If [tex]D=0[/tex] then the polynomial has two real and equal roots.

If D<0 then roots are not real.

Here, in [tex]f(x)=3x^2+12x+5[/tex]

a = 3, b = 12 and c = 5

[tex]D=(12)^2-4(3)(5)=144-60=84[/tex]

As D > 0, the polynomial has two real distinct roots.

Answer:

The discriminant of F is 84

F has 2 distinct real number zeros

Step-by-step explanation:

Answer:

45 bags of candy

Step-by-step explanation:

The first thing is to calculate the money Jordan has, we know that by multiplying the number of bags by their price, that is:

30*12 = 360

I mean, he's got $360, now with this money he wants to buy $8 bags, so it would be

360/8 = 45

That means I could buy 45 bags of candy if they cost $8

Jordan can purchase 20 bags of candy for $8.

Jordan purchased 30 bags of candy for $12. At that rate, to find out how many bags of candy he can purchase for $8, we first calculate the cost per bag of candy by dividing the total cost by the number of bags purchased. This gives us a rate of $0.40 per bag of candy ($12/30 = $0.40). To determine how many bags of candy Jordan can purchase for $8, we then divide $8 by the cost per bag, which is $0.40.

Calculating, $8/$0.40 = 20 bags of candy. Thus, for $8, Jordan can purchase 20 bags of candy at the same rate.

Answer:

i think B

Step-by-step explanation:

P.s im dumb so I might be wrong

Answer:

(d)

Step-by-step explanation:

its d its (75)

The mean deviation for the data (17, 15, 16, 20, 15, 19) is calculated by finding the mean, determining the absolute differences from the mean for each value, summing those differences, and then dividing by the number of values, resulting in a mean deviation of 1.67.

The mean deviation is a measure of the average distance between each data value and the mean of the data set. To calculate the mean deviation of the given data (17, 15, 16, 20, 15, 19), first we find the mean of these values.

The calculated mean deviation for the provided data is 1.67.

Answer:

3

Step-by-step explanation:

49 divided by (5+2) - 2 x (1+1)

49 divided by 7 - 2 x 2

7-4

3

√52 = 7.21110...

7.21 is in between 7.2 and 7.3

C - 7.2 and 7.3

The two numbers which the square root of 52 lie between are; 7.2 and 7.3.

From the task content;

√52 = 7.211

On this note, it follows that the number 7.211 lies between 7.2 and 7.3.

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We can solve it, but we can't actually use the interactive system they want you to use.  Let's see if we can guide you through it.

My guess is you can control the lines by dragging the two points on the line.

Let's make the green line y = 2x + 3

When x=0 we get y=3, point (0,3).   That's the y intercept, 3 up on the y axis.  Drag one green point there.

When x=2 we get y=7, point (2,7), two to the right, seven  up.  Drag the other green point there.   The green line is now y = 2x + 3.

Similarly the red line is made y = -3x + 3.    When x=0, y=3, point (0,3).  [Surprise!]   When x=2, y=-3, point (2,-3).  Drag the red points to (0,3) and (2,-3).

We already saw where they meet, at (0,3), x=0, y=3, the y intercept of both lines.

Answer: x=0, y=3

Answer:

Profit is calculated by subtracting the total cost from the total revenue as expressed in the equation given above as,

   P(x) = R(x) - C(x)

If we are to substitute the given expression for each of the terms, we have, 

  P(x) = x(S(x)) - C(x)

Substituting,

  P(x) = x(30 - 0.01x) - (0.15x³ + 0.01x² + 2x + 120)

Simplifying,

  P(x) = 30x - 0.01x² - 0.15x³ - 0.01x² - 2x - 120

Combining like terms,

  P(x) = -0.15x³ - 0.02x² + 28x - 120

The answer to this item is the second among the choice, number 2. 

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Step-by-step explanation:

Final answer:

To find the total cost function C(x), you combine the manufacturing cost function f(x) = 1000 - 0.01x² and the service cost function g(x) = 150 - 0.001x², resulting in C(x) = 1150 - 0.011x².

Explanation:

To create a function C(x) for the total manufacturing and service cost per item, you will simply add the manufacturing cost function f(x) and the service cost function g(x) together. The provided functions are f(x) = 1000 - 0.01x² for the manufacturing cost per item and g(x) = 150 - 0.001x² for the service cost per item.

When you add these two functions, you get:

C(x) = f(x) + g(x)
= (1000 - 0.01x²) + (150 - 0.001x²)
= 1150 - 0.011x²
This new function, C(x), represents the total cost per item when x items are produced, encompassing both manufacturing and service costs.

Answer:

the height of the trapezoid is 4.5 feet.

Step-by-step explanation:

i got it right

The height of the trapezoid cannot be determined from the information given in the problem. The areas and base lengths or the lengths of the diagonals of the trapezoid are required to determine its height.

The question seems to be a bit conflicted. First, if we look at the information given, the plot of land with an area of

33.75 square feet

is the space for the trapezoid, not its height. The shed, with its dimensions, will take up 16 square feet. But putting a shed on the trapezoid or relating this to the height of the trapezoid doesn't seem to connect. The

height of the trapezoid

is not something we can determine with the information given. To determine the

height of a trapezoid

, you need either the areas and base lengths or the lengths of the diagonals. Unfortunately, the information about the shed doesn't help in determining the height of the trapezoid.

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Birds need energy for flying, breathing, and digesting food. Because of their high metabolism and active lifestyles, all of these processes are crucial for their survival and require substantial energy.

Birds such as eagles and hawks need energy for a variety of activities essential to their survival. The correct answer to what they need energy for is D) all of the above.

These activities include flying, which is a highly energy-intensive activity requiring strong and efficient flight muscles; breathing, because birds have a unique respiratory system adapted for high levels of oxygen intake to support their active metabolisms; and digesting food, since birds have higher metabolic rates than humans, they need to digest their food quickly and eat often to maintain their energy levels.

The digestive process itself also consumes energy as nutrients from food are transformed into usable energy through biochemical reactions.

Final answer:

Eagles and hawks need energy for flying, breathing, and digesting food. Flying requires significant amounts of oxygen and energy due to the bird's efficient but energy-demanding flight muscles. Breathing and digestion are also energy-consuming processes that support the bird's active metabolism and need for frequent food intake.

Explanation:

Eagles, hawks, and other birds require energy for several key activities which are essential for their survival. The energy needs of birds like eagles and hawks encompass flying, breathing, and digesting food. Flying is an activity that demands a great deal of energy since birds need to be light to fly and have powerful flight muscles, making their digestive systems more rapid compared to humans.

Breathing is another crucial activity where birds have adapted a highly efficient respiratory system that enables them to take in the necessary oxygen to support their high metabolic rates. This is especially important because flying consumes a tremendous amount of energy, and birds need to eat often to maintain energy levels due to their quick digestion.

Lastly, digesting food also requires energy, as digestion is the process of breaking down food and transforming nutrients into energy through a series of biochemical reactions. Because birds digest their food quickly, they need to eat greater amounts of food more frequently to meet their high energy demands, which are raised even higher because birds have smaller surfaces to lose heat than humans.

Answer:

Top right

Step-by-step explanation:

The one on the top right has the greatest amount of dots on the line.

hope this helps :)

By looking at the given graphs, we conclude that the set of data with the strongest linear association is the one in the top right.

Linear association is a measure of "how much" a set of data behaves like a line.

So, we just need to see which of the given sets of data behaves more like a line (we can compare with the shown lines).

As you can see, in the only set where almost all the points lie in the graphed line is in the top right graph. In the other 3, we can see points outside of the line.

So the set of data with the strongest linear association is the one in the top right graph.

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Answer:

Semicircle radius is 4.5

Radius x radius x 3.14 = area of circle but you divide by 2

4.5 x 4.5 = 20.25 x 3.14 = 63.585/2=31.7925 for semicircle

To find the line for the triangle subtract 16 from the other side which is 8 so the triangle is 8 by 3.

8 x 3 = 24/2=12 for triangle

6 + 3 = 9 the missing side.

9 x 8 = 72 so the rectangle is 72

72 + 12 = 84 + 31.7925 = 115.7925 so that is the area

Circumference is the perimeter for the circle. 9 x 3.14 = 28.26

Perimeter of triangle is 19.544

8 + 9 = 17 x 2 = 34

28.26 + 34 = 62.26 + 19.544 = 81.804

Area is 115.7925 and perimeter is 81.804

Step-by-step explanation:

Answer:

The answer should be D if you're on edge

Step-by-step explanation:

Triangle LMN is dilated with a scale factor greater than 1 and then translated to form Triangle L'M'N'

Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. All the corresponding angles are congruent.

Triangle L'M'N' is larger than LMN. Hence:

Triangle LMN is dilated with a scale factor greater than 1 and then translated to form Triangle L'M'N'

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Answer:

5m = 3890

Step-by-step explanation: