whats the largest even 6-digit different number ?​

Therefore, the quadratic function in standard form that represents the data in the table is: y = 1/2 x² - 5/2 x + 5.

A function is a mathematical concept that describes the relationship between two sets of numbers. It is a rule that assigns to each input (or element in the domain) exactly one output (or element in the range). In simpler terms, a function is like a machine that takes in a number and produces another number as output, according to some specific rules. The input is usually denoted by x, and the output by f(x), which is read as "f of x". Functions can take many forms, such as linear, quadratic, trigonometric, exponential, logarithmic, and more. They are widely used in mathematics, science, engineering, and many other fields to model and analyze various phenomena.

Here,

To write a quadratic function in standard form, we need to use the general form of the quadratic equation:

y = ax²+ bx + c

where a, b, and c are constants. We can use the values in the table to find these constants.

When x = 2, y = 3

When x = 4, y = 1

When x = 6, y = 3

When x = 8, y = 9

When x = 10, y = 19

Substituting these values into the quadratic equation, we get:

3 = 4a + 2b + c

1 = 16a + 4b + c

3 = 36a + 6b + c

9 = 64a + 8b + c

19 = 100a + 10b + c

We can now use these equations to solve for a, b, and c. One way to do this is to use a matrix equation:

|16 4 1| |a| |1|

|36 6 1| |b| = |3|

|64 8 1| |c| |9|

Using a calculator or matrix software, we can solve for a, b, and c:

a = 1/2

b = -5/2

c = 5

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Answer:

There were 96 guests at the wedding.

Step-by-step explanation:

Let,

x be the total number of guests at the wedding.

People who chose pasta = 1/3 of the guests = \(\frac{1}{3}x\)

People who chose chicken = \(\frac{5}{12}x\)

People who chose beef = 24

Now,

\(\frac{1}{3}x+\frac{5}{12}x+24=x\\\\\frac{4x+5x+288}{12}=x\\9x+288 = 12x\\288=12x-9x\\288=3x\\3x=288\)

Dividing both sides by 3

\(\frac{3x}{3}=\frac{288}{3}\\x=96\)

Hence,

There were 96 guests at the wedding.

Answer:

Nvgjvfknh

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

i'm smart

An equation that could be used to determine M, the unknown side length of the logo is X = (36/5) x M

Let's assume that the unknown side length of the logo is 'M'. The logo is a rectangle, and the area of a rectangle is given by multiplying its length and width. Since we know the length of the logo is 7(1)/(5) feet, we can write the equation:

A = L x W

where A is the area of the logo, L is the length of the logo, and W is the width of the logo.

Substituting the given values, we get:

A = (7(1)/(5)) x M

or

A = (36/5) x M

Now, we know that the area of the logo is exactly the maximum area allowed by the building owner. Let's assume this maximum area is 'X'. So, we can write another equation:

A = X

Combining both equations, we get:

X = (36/5) x M

This is the required equation that could be used to determine the unknown side length 'M' of the logo if we know the maximum area allowed by the building owner 'X'.

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Answer: 9·9 -36 +4.

Step-by-step explanation: 9x² -12x +4 for x=3. 9·3² -12·3 +4 = 9·9 -36 +4.

Answer:

628

Step-by-step explanation:

1) Find the circumference of the wheel (the distance it travels in 1 revolution)

\(C=\pi d\) where d is the diameter

Plug in 2 ft as the diameter

\(C=(3.14) (2)\\C=6.28\)

Therefore, the circumference of the wheel is 6.28 ft.

2) Multiply the circumference by 100

6.28 × 100

= 628 ft

Therefore, Joe would travel 628 feet if his wheel turns exactly 100 complete revolutions in one direction.

I hope this helps!

The maximum height reached by each stone is 40.5 meters.

The height of each stone above the ocean is given by the function:

h = -2t² + 2t + 40

This is a quadratic function in standard form, with a = -2, b = 2, and c = 40.

The maximum height reached by the stone occurs at the vertex of the parabolic curve described by this function.

The t-coordinate of the vertex is given as:

t = -b / 2a

Substitute the values of a and b,

t = -2 / (2×(-2)) = 0.5

So the maximum height is reached 0.5 seconds after the stone is thrown.

To find the maximum height, substitute the value of t into the function:

h = -2(0.5)² + 2(0.5) + 40 = 40.5 meters

Therefore, the maximum height reached by each stone is 40.5 meters.

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Answer:

Anything from 8150 to 8249

Answer:

Step-by-step explanation:

1 revolution will equal 360 degrees

Because of that 30,000 revolution would be 10,800,000 degrees

100,000 rev would equal 36,000,000 degrees

The range through which the composite flywheel rotates in one minute be denoted by ' F ' . (1.08 x 107)° F (3.6 x 107)°

The range of degrees the composite flywheel can travel in a minute is 2.52 × 10⁷ degrees/minute.

Scientific Notation is a way of writing down in the easy form of very large or very small numbers.

The range of revolutions per minute for the rotor is from 30,000 to 100,000, which means that the rotor can spin a total of 70,000 revolutions per minute (100,000 - 30,000 = 70,000).

To find the range of degrees through which the composite flywheel can travel in a minute, we need to multiply the range of revolutions by the number of degrees in one revolution.

A full revolution is 360 degrees, so the composite flywheel can travel in a minute :

70,000 revolutions/minute × 360 degrees/revolution = 25,200,000 degrees/minute

This can be written as 2.52 × 10⁷ in scientific notation.

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The total cash due at signing is $3,700 at the local dealership..

The addition operation in mathematics adds values on each side of the operator.

For example 4 + 2 = 6

The total cash due is calculated as:

Down payment: $1,800

Security deposit: $400

Acquisition fee: $300

Total: $1,800 + $400 + $300

Apply the addition operation, and we get

= $3,700

Thus, the total cash due at signing is $3,700.

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The output used to determine the significance of the F-test in an ANOVA summary report is the F-critical value.

The F-test is a statistical test used to compare the variance between the means of two or more groups, and the F-critical value is the value against which the calculated F-statistic is compared to determine if the differences between group means are statistically significant or not.

The F-critical value is calculated based on the degrees of freedom and the desired level of significance or alpha level. If the calculated F-statistic is greater than the F-critical value, the null hypothesis is rejected, and it is concluded that there is a significant difference between the means of the groups being compared.

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Answer:

  g(x) = (1/6)(x +7)^2 -8

Step-by-step explanation:

The transformation ...

  g(x) = a·f(x -h) +k

represents vertical scaling by a factor of 'a', right shift by h units, and up shift by k units. You want the function g(x) for f(x) = x^2, a = 1/6, h = -7, and k = -8. Those transformations give you ...

  g(x) = (1/6)(x +7)^2 -8

answer:

v=1282.8 or 1282.82

step-by-step explanation:

v=πr²h/3

=π*7²*25/3

=1282.82

1282.82 (5 or more raise the floor 5 or less let it rest)

=1282.8

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Answer:

H0 : σ = 0.5

H0 : σ < 0.5

Step-by-step explanation:

From the scenario described above, the company wants to see conclusive evidence that the population standard deviation of sheath thickness is less than .05 mm ; THIS SIMPLY means ; REJECTION OF the NULL HYPOTHESIS. This is because once there is a significant or conclusive evidence in hypothesis testing, then we reject the null and support the claim of the alternative hypothesis.

Hence, the alternative hypothesis is ; population standard deviation of sheath Thickness is less than 0.5.

H1 : σ < 0.5 ;

Therefore, our null will be ;

H0 : σ = 0.5

The school has surpassed its goal of reading 5,000 books by 5,185 books, and the students and staff can be proud of their accomplishment in promoting literacy and education.

To determine if Mary School reaches its goal of reading 5,000 books, we need to calculate the total number of books raised by each class.

For the three classes that raised 875 books each, we can calculate the total number of books as:

3 x 875 = 2,625 books

For the four classes that raised 640 books each, we can calculate the total number of books as:

4 x 640 = 2,560 books

To find the total number of books raised by all the classes, we can add the books raised by each group:

2,625 + 2,560 = 5,185 books

Since the total number of books raised is greater than the goal of 5,000 books, we can conclude that Mary School has reached its goal.

Therefore, the school has surpassed its goal of reading 5,000 books by 5,185 books, and the students and staff can be proud of their accomplishment in promoting literacy and education.

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Answer:

450 km

150/3=50km/hr

50+20%

1/5*50=10

50+10=60

60km/hr

450-150=300

300/60=5

5 hours

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{70\% of 5160}}{\left( \cfrac{70}{100} \right)5160}\implies 3612~\hfill \underset{for~2010}{\stackrel{5160~~ + ~~3612}{\text{\LARGE 8772}}}\)

Answer:

3,612

Step-by-step explanation:

70% of 5,160

0.70•5,160= 3612

Answer:

30mins

Step-by-step explanation:

Answer:

12 minutes

Step-by-step explanation:

20/5=4

3*4=12

Answer: None of the choices is correct.

6,714÷103 is about 65.184

Step-by-step explanation:

The closest answer is the second choice. But there must be a typo in the question.

6,714÷100 = 67.14

I hope this helps. You might be able to ask your teacher about the mistake in the question.

The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks

The amount of distance that Vanessa covers for a week = 4 miles

The amount of weeks it will take for her to cover 96 moles would be = ?

That is;

1 week = 4 miles

X weeks = 96 miles

Make X the subject of formula;

X = 96× 1/4

= 24 weeks

Therefore Vanessa will be able to cover 96 miles in only 24 weeks.

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Answer:

I'm pretty sure it's A because it's measured with Miles pH no hour per mile

Answer:

A

Hope this helped ;)

Answer:

B) 25

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

Point (-1, -8)

Point (-4, -4)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

12πn

Step-by-step explanation:

area of painting:

π(n − 3)²

area of full frame:

π(n+3)²

area of only frame:

area of full frame - area of painting

π(n+3)² - π(n − 3)²

\(\pi \left(n^2+6n+9\right)-\pi \left(n^2-6n+9\right)\)

\(\pi n^2+6\pi n+9\pi -\pi n^2+6\pi n-9\pi\)

\(12\pi n\)

Answer:

Step-by-step explanation:

The value of d is the average of the maximum and minimum values of the graph:

  d = (3 +(-1))/2 = 1

The value of 'a' is the difference between the maximum value and the value of d:

  a = 3 -d = 3 -1 = 2

The required values of 'a' and 'd' are 2 and 1, respectively.

Sheena receives change of $7.55 after paying $20 bill.

Information is graphically represented in a bar graph. To represent value, it makes use of bars that stretch to various heights. Vertical bars, horizontal bars, grouped bars (multiple bars that compare values in a category), and stacked bars can all be used to create bar graphs.

Therefore,

Sheena buys three items, one sandwich and two pretzels.

Given the rate of sandwich = $6.95

Rate of pretzels = $2.75 each

So rate of two pretzels = $2.75 x 2 = $5.5

Total amount paid = $20

To find the change she receives ,

Total payment paid - total amount of items

Total amount for items = $6.95 + $5.5

                                     = $12.45

Change receives = $20 - $12.45

                            = $7.55

Therefore the change Sheena receives is : $7.55.

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\(\huge\text{Hey there!}\)

\(\huge\textbf{Original equation/problem:}\)

\(\mathbf{687\times391}\)

\(\mathbf{= 391\times687}\)

\(\mathbf{= 268,617}\)

\(\huge\textbf{Now, we're going to solve for your}\\\huge\textbf{question:}\)

\(\huge\text{Assuming you want us to estimate to the}\\\huge\text{nearest hundred. So we will do so, because}\\\huge\text{it is easier to understand it like that.}\)

\(\mathbf{687 \rightarrow 700}\\\mathbf{391\rightarrow 400}\)

\(\huge\textbf{New equation:}\)

\(\mathbf{700 \times 400}\)

\(\mathbf{= 400\times700}\)

\(\mathbf{= 280,000}\)

\(\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ A.\ 280,000}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

exterior angle

then

Answer:

90 degrees

Step-by-step explanation:

The angle is a right angle, because its straight up. A right angle is always 90 degrees.