What is the equation, in standard form, of a parabola that models the values in the table x-3 0 2 f(x) -8 -2 -28

Answer:

110

Step-by-step explanation:

nth term = 3n + 2

3 (36) + 2

108 + 2 = 110

Answer:

The 36th term in the sequence is 104.

Here's how to find it:

- Start with the first number in the sequence: 5.

- Add the common difference, which is 3, to get the second number in the sequence: 8.

- Add the common difference to the second number to get the third number: 11.

- Continue adding the common difference to each subsequent number to find the next term in the sequence.

- The 36th term is three less than 37 times the common difference added to the first term.

- Using that formula, we can calculate the 36th term as: 5 + (36 - 1) * 3 = 5 + 105 = 110.

- Therefore, the 36th term in the sequence is 104.

Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

For more such answers on coordinates

https://brainly.com/question/30227780

#SPJ8

The answer is either 0.2 as a decimal or 1/5 as a fraction.

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty.

To estimate the probability that Maria succeeds at fewer than 7 free-throws in a sample of 10, we need to sum up the number of successful free-throws in each simulated sample that are less than 7, and then divide by the total number of simulated samples.

From the dot plot, we can see that there are 5 simulated samples with fewer than 7 successful free-throws.

Therefore, the estimated probability that Maria succeeds at fewer than 7 free-throws in a sample of 10 is:

P(fewer than 7 successes) ≈ 5/25 ≈ 0.2

To know more fraction visit:

https://brainly.com/question/11782774

#SPJ1

The value of s - t is 2.

It is given in the question that:-

s = 1/4 and,

t = -1.75

We can convert the decimal form of t in the fractional form.

-1(3/4) = -7/4

Hence, according to the data given in the question we can write,

s - t = (1/4)-(-7/4) = (1+7)/4 = 8/4 = 2.

Decimal

In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point. For example, 34.5 is a decimal number.

To learn more about fractions, here:-

https://brainly.com/question/10354322

#SPJ1

The most appropriate reason for Christie making changes to her budget at the end of every month in terms of smart financial planning is B. She is reviewing her goals and aligning the budget to work toward them.Option B is correct.

Smart financial planning involves regularly evaluating and adjusting one's budget to ensure that it reflects their financial goals and current circumstances. By reviewing her goals, Christie can assess if her budget is still aligned with those goals and make any necessary changes to stay on track.

Life circumstances, such as changes in income, expenses, or financial priorities, may warrant adjustments to the budget. Christie recognizes that her needs may change over time, and by modifying her monthly budget, she can ensure that her financial resources are allocated appropriately to meet her evolving goals.

Regularly revisiting and modifying the budget allows Christie to adapt her financial plans, optimize her spending, and make informed decisions to achieve her financial objectives. Option B is correct.

For more such questions on budget

https://brainly.com/question/13964173

#SPJ8

Answer:

y = x/w

Step-by-step explanation:

1) We have to isolate y

2) An easy way to do this is to switch the places of y and w since we are just solving for y

3) Therefore, the answer is y = x/w

Hope this helps!

Answer:

triangle XYZ is similar to triangle RPQ

scale factor = 2/5

Step-by-step explanation:

Angles X and R are given as congruent.

Angles Z and Q are right angles, so they are congruent.

Then, angles Y and P must be congruent.

The similarity statement is

triangle XYZ is similar to triangle RPQ

To find the scale factor, divide the length of a side of the image by the length of the corresponding side in the original.

10/25 = 2/5

The scale factor is 2/5.

Answer:

the answer is 14,880 and its bigger :D 14880>12400

Step-by-step explanation:

Answer:

14880

Step-by-step explanation:  I think that it would be greater to me because 14 is bigger than 12.

The true statement is (c) that He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x^2, –x, –6x, and 6.

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

The expression is given as:

\(x^{2} -7x + 6\)

Expand;

\(x^{2} -6x - x +6\)

Factorize;

x(x-1) - 6 (x- 1)

Factor out x - 6

(x - 6) (x- 1)

This means that the factors of \(x^{2} -7x + 6\) are x - 1 and x - 6

Hence, the true statement is (c) that He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x^2, –x, –6x, and 6.

Read more about expressions at:

brainly.com/question/11579257

#SPJ1

Answer: Answer is C

Step-by-step explanation:

Answer:

  15 litres

Step-by-step explanation:

  (1/2 litre/day)(30 days) = 15 litres

__

Multiply rate by time to get quantity.

Answer:

13x^2 - 6x -11

Step-by-step explanation:

Answer: The cost per bag is $27

Step-by-step explanation:

Divide 135 by 5 = 27

Unit ratio means that if you know the rate per unit, you can calculate the cost by multiplying the constant rate by the number of units. In this question, the rate is $27 and the unit is the bag.

The ratio looks like

1:27 as 2:54 as 3:81 as 4:108 as 5:135

They are all equivalent to 1/27

y = 27x is another way of writing an equation for this ratio.

Since then, it has spread to other rivers, colonized them, clogged the water intake pipes, and competed with local species for food. Zebra mussels are the method for removing a lot of plankton from the water column.

Here, we have,

The Caspian Sea in Asia is where zebra mussels, or Driessen polymorph, are found naturally.

They arrived in the Great Lakes region in the late 1980s via ballast water from a transatlantic ship.

The Great Lakes, Mississippi, Tennessee, Hudson, and Ohio river basins were all overrun by these mussels within ten years.

The lake's brilliant blue hue is a result of Tahoe's clean air and water.

There is more to this phenomenon than just the fact that Lake Tahoe's surface reflects the sky, which contributes to its blue color.

Learn more about lake here-

brainly.com/question/24386402

#SPJ1

complete question:

As you respond to Part A, Part B, and Part C, follow the directions below.

​

​Address all of the instructions in each prompt.

​Use evidence from the information provided and your own knowledge of science to support your responses.

Part A

​

Describe one way scientists near Lake Tahoe can detect if the lake has been impacted by zebra mussels.

Answer:

k = -0.1

Step-by-step explanation:

An ordered pair is in the form (x,y)  We can use the x and y from the point (-30,3) to find k

y = kx  We will replace x with -30 and y with 3

3 = (-30)k  divide both sides by -30

-0.1 = k  or \(\frac{-1}{10}\) in the fraction form

Answer: -2xy - 8y

Step-by-step explanation:

-3xy-2(x+y)-4y+xy

-3xy - 2x -2y - 4y + xy

-2xy - 2x - 2y - 4y

-2xy - 8y

An inequality for the situation "No fewer than 5 ​people, p, must ride in the car." is p ≥ 5.

In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Note: No fewer than simply means at least and greater than or equal to (≥).

Next, we would translate the word problem into an algebraic expression as follows;

No fewer than 5 ​people ⇒ p ≥ 5.

Read more on inequality here: brainly.com/question/27976143

#SPJ1

Answer:

\(31y^{3} -28y^{2}\)+35y

Step-by-step explanation:

Answer:

$110

Step-by-step explanation:

The first step would be to multiply 11 and 5 to get the result of 55.

Then, you would multiply 55 by whatever the cost per square yard is, which in this case is $2.

Finally after multiplying 55 and 2 you would get the answer of $110.

Hope this helped! Have a great day! :)

Answer:

32 m^2

Step-by-step explanation:

Quite easy. The altitude of the triangle is 8m. The base of the triangle is 2 + 6. The base is 8 meters and the height of the triangle is 8 meters. The area ofa triangle is base * height divded by 2.

(8 * 8)/2 = 32 sqaure meters

Mark as brainliest if it helped.

Answer:

32

Step-by-step explanation:

8*8/2

64/2

32

Answer:

The price of the cereal boxes

Step-by-step explanation:

Yes,  This is established by the Rank-Nullity Theorem, A counter-example would be a transformation that is not linear.

Yes, all linear transformations have a matrix representation. The theorem that establishes this is the Matrix Representation Theorem. This theorem states that given a linear transformation T : V → W where V and W are vector spaces over a field F, then there is a unique matrix A such that T(v) = Av for any v in V. This theorem proves that any linear transformation can be represented by a matrix.

A counter-example of a linear transformation that does not have a matrix representation is a transformation that maps a vector in one vector space to a vector in a different vector space. For example, if V is a vector space over the field F, and W is a vector space over another field K, then the linear transformation T : V → W does not have a matrix representation since the size of the matrix would need to be different for each vector in the different vector spaces.

Learn more about linear here

https://brainly.com/question/27749345

#SPJ1

Answer:

  7614

Step-by-step explanation:

The exponential growth of the bacteria culture can be modeled by the equation ...

  p = a·b^(t/c)

where 'a' is the initial population, 'b' is the growth factor, and 'c' is the period over which that growth factor applies.

__

In the given scenario, we have ...

So, our model is ...

  p = 6000·1.1^(t/4)

__

After 10 hours, the population is predicted to be ...

  p = 6000·1.1^(10/4) ≈ 7614

We predict 7614 bacteria will be present after 10 hours.

__

Additional comment

If we compare the form we used to the one suggested in the proglem statement, we see

For the bases of the exponential term to be the same, we must have ...

  1.1^(t/4) = e^(kt)

  (1.1^(1/4))^t = (e^k)^t . . . . . factor t from the exponent

  1.1^(1/4) = e^k . . . . . . . match the bases

  k = ln(1.1)/4 . . . . . take natural logs

  k ≈ 0.0238275

and the equation becomes ...

  p = 6000·e^(0.0238275t)

__

In terms of 'a', 'b', and 'c' used above, we find ...

  k = ln(b)/c

The area of the original fountain was 16π square yards at the Palace of Versailles due to the radius of the fountain on a scale of 1 : 4.

The area of the circle is equal to the product of the square of the radius of the circle and pi.

A = πr²

where 'r' is the radius of the circle

The radius of the fountain using a scale of 1 : 4 in New York

The area of the fountain in New York is 1,600π square yards.

To determine the area of the original fountain at the Palace of Versailles

We can write this as a ratio as

A₁ : A₂ =  πr² :  π(4r)²

A₁ : 1,600π  =  πr² :  π(4r)²

A₁ / 1,600π  =  πr² /  π(4r)²

A₁  =  (πr²/ π 16r²)(1,600π )

A₁  = 1,600π/16

A₁  = 16π square yards

Therefore, the area of the original fountain was 16π square yards at the Palace of Versailles.

Learn more about the area of the circle here:

brainly.com/question/19794723

#SPJ1

Answer:

Step-by-step explanation:

its the last one

The measure in radians of angle POQ is given as follows:

π/4 radians.

The measure of angle POQ is obtained applying the proportions in the context of the problem.

Angle POR is one fourth of the unit circle, which is of 360º, hence it's measure is given as follows:

POR = 0.25 x 360

POR = 90º.

Angle POQ is halfway between 0 radians and angle POR, hence it's measure is given as follows:

POQ = (0 + 90)/2 = 45º.

180º is equivalent to π radians, and 180/45 = 4, hence the measure in radians of angle POQ is given as follows:

π/4 radians.

The diagram is given by the image presented at the end of the answer.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1