Lashonda finished a race in 5 minutes. How many seconds is this

[tex](-4.89, 3)[/tex] and [tex](4.89, 3)[/tex] are the farthest from the origin and [tex](0, -1)[/tex] is the closest from the origin.

Let be a curve of the form [tex]x^{2}+3\cdot (y-2)^{2} = 27[/tex]. The distance with respect to origin is found by using the following Pythagorean identity:

[tex]r = x^{2}+y^{2}[/tex] (1)

Where [tex]r[/tex] is the square distance function.

We can modify (1) as following:

[tex]r = [27-3\cdot (y-2)^{2}]+y^{2}[/tex]

[tex]r = 27-3\cdot (y^{2}-4\cdot y +4)+y^{2}[/tex]

[tex]r = 27-3\cdot y^{2}+12\cdot y -12 + y^{2}[/tex]

[tex]r = -2\cdot y^{2}+12\cdot y+27[/tex] (1b)

Now we apply the First and second derivative tests to determine the minimum and maximum distances from the origin:

First derivative test

[tex]-4\cdot y +12 = 0[/tex]

[tex]y = 3[/tex]

Second derivative test

[tex]r'' = -4[/tex]

The y-component represents a maximum.

Now we graph the function with the ressource of a graphing tool, we find the following points:

Farthest points: [tex](-4.89, 3)[/tex], [tex](4.89, 3)[/tex].

Closest points: [tex](0, -1)[/tex].

[tex](-4.89, 3)[/tex] and [tex](4.89, 3)[/tex] are the farthest from the origin and [tex](0, -1)[/tex] is the closest from the origin.

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Answer:

8+15+4x and 3x+15+3x

Step-by-step explanation:

subtract 6 from both sides of the equation and simplify and your answer should be f = 55 over 2

Answer:

Total profit=$35x+$18(130-x)

Total profit=$35x+$2340-$18x

Total profit=$17x+$2340

Step-by-step explanation:

Answer:

Solution here

Earning=$12 per hour

Raise=6%

The amount earned by Sam after raise=6×12/100

=72/100

=$0.72

The total amount made by Sam after the raise = $12+$0.72

=$12.72

Answer:

ok ok ok ok ok

Step-by-step explanation:

Answer:

ok?

Step-by-step explanation:

Answer: 10/3

Step-by-step explanation

2/3x5

2/3x5/1

Now goahead and multiply the top and bottom numbers

in this question, we are given the poverty function Our X equals no point to for X equals not 123 on before. So we are asked to find the mean and standard deviation. So the first step is to dio our property distribution tables. We are no one to hey wonderful. When we get told, it's no point to went to Teoh went to and not point to stuff. It's nice and easy. The next room we need to do is X he exit. We're gonna times are probability of X which is not 20 for all of them and by the value of X itself. So for the 1st 1 we're times in nor point to buy zero So we get zero 2nd 1 time to North point to buy one which is no point to no no point to about two, which is full no point you by three which is six and no 60.2 times four which is ain't on Then the way we get the main is to some all these together. So every animal together we get to not to is me which is on me I'm just gonna put less some of X P x is a reminder of how we got that. So if we do total so the next thing we need to dio is doomed. Ex spread P X so x zero squared is still zero and zero times. Anything is zero once where it is still one so that times not point to a store not point to. But now two squared is four of four times no point to there's no 0.8 three squared is nine. So no 90.2 times nine is now. One point ain't on four spread is 16 so one out of the North Point to buy 16 which is 3.2 on the total for that is not quick to note. 0.8 plus 1.8 plus 3.2, which gives us six. So we now need ah variation, which is the expectation of X. It's what, which is this Butthead and we need to take from that expectation of X, which is our mean squared same. We're looking at six minus to squared. So that's six minus four, which is to on to get the standard deviation. We just need to do root off answer. So If we do, son deviation equal root of Arians equals route to Ruutu is actually an irrational number. So it will just keep going forever. So we'll just simplify to one distal place, which is 1.4. So they haven't you mean is too on the standard deviation is 1.4.

Answer:

37

Step-by-step explanation:

n = 1st number

n+1 = next consecutive number

n + n+1 = 75

2n + 1 = 75

2n = 74

n = 37

n+1 = 38

Answer:

-2F=7x

Step-by-step explanation:

F*-2= -2F       3x*3x=9x

-2F=9x-2x

-2F=7x

Answer:

45 is the right answer

Step-by-step explanation:

Answer:

A. 0 <= x <= 8

Step-by-step explanation:

4 <= x + 4 <= 12

Remove 4 from all sides

4 - 4 <= x + 4 -4 <= 12 - 4

0 <= x <= 8

Step-by-step explanation:

the scale factor is 1 : 150

you don't know what that means ?

it means that every unit (here cm) in the diagram corresponds in reality to 150 units.

so, 1 cm in the diagram is 150 cm in reality.

therefore we only need to multiply the sizes in the diagram by 150, and we get the real sizes.

length : 5 × 150 = 750 cm (7.5 m)

breadth : 3 × 150 = 450 cm (4.5 m)

and the perimeter is as for every rectangle :

2×length + 2×breadth = 2×750 + 2×450 = 1500 + 900 =

= 2400 cm (24 m)

Answer:

-13°F is the change in temperature.

Step-by-step explanation:

The change in temperature is,

→ -1 + x = -14

→ x = -14 + 1

→ [ x = -13 ]

Hence, -13°F is the change.

Using linear functions, it is found that:

A linear function is modeled by:

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

In which:

Jose:

Gavin:

The day they will both be on the same page is x for which:

[tex]J = G[/tex]

Hence:

[tex]17x + 10 = 14x + 37[/tex]

[tex]3x = 27[/tex]

[tex]x = \frac{27}{3}[/tex]

[tex]x = 9[/tex]

They will be on the same page on the 9th day.

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Answer:

18cm

Step-by-step explanation:

The ratio is given by: 7.5/2.5=3

DE = 6 × 3 = 18 cm

or

DC/CB = x/AB

7.5/2.5 = x/6

3=x/6

x=6×3=18 cm

18

Step-by-step explanation:

X-3=15

Make X the subject of the formular by transferring the number with co-efficients in one side if the equation.

X=15+3

X=18

Answer:

18

Step-by-step explanation:

Answer:

Merry Christmas to u, ik i can't help but I would just like to say merry Christmas to u too

Answer:

y = - [tex]\frac{8}{3}[/tex] x + 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mc + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{8}{3}[/tex] and crosses the y- axis at (0, 10 ) ⇒ c = 10

y = - [tex]\frac{8}{3}[/tex] x + 10 ← equation of line

Answer:

Un multiplu de două cifre, diferit de 24, al numărului 24 este 48

Answer:

8 in

Step-by-step explanation:

because 4 x 2 = 8 inches squared

Answer:

8 inches²

Step-by-step explanation:

formula for the area of a rectangle is l x w

2 inches x 4 inches = 8 inches.

Area is written in  (unit)²

so, the area of the rectangle is 8 inches²

Answer:

  9, 9√3

Step-by-step explanation:

The ratios of sides in a 30°-60°-90° triangle are ...

  1 : √3 : 2

The shortest is half the longest. If the longest is 18, the others are 9, 9√3.

Answer:

Step-by-step explanation:

AVERAGE rate of change looks only at the endpoints

m = Δy/Δx

m = (1.2 x 10⁶ - 0.35 x 10⁶) / (2640 - 1955)

m = 0.35 x 10⁶/ 685

m = 1241  beings / year

1 km = 1000 m, so:

23,769 km = 23,769 · 1000 m = 23 769 m

Answer:

23769m

Step-by-step explanation:

Basicly, 3.769x 1000= 23769m

Please mark brainliest

Answer:

Step-by-step explanation:

Answer:

Start off by expanding the square:

x^6 -2x³ + 1.

Now, we can integrate it in dx:

∫x^6 - 2x^3 + 1 dx = ∫x^6 dx - 2∫x^3 dx + ∫1 dx = (x^7)/7 - 2((x^4)/4) + x = (x^7)/7 - (x^4)/2 + x.

That's the result!

[tex]\\ \sf\longmapsto {\displaystyle{\int}}(1-x^3)^2dx[/tex]

[tex]\\ \sf\longmapsto {\displaystyle{\int}}(1-x^6+2x^3)dx[/tex]

[tex]\\ \sf\longmapsto x-\dfrac{x^{6+1}}{6+1}+2\dfrac{x^{3+1}}{3+1}[/tex]

[tex]\\ \sf\longmapsto x-\dfrac{x^7}{7}+2\dfrac{x^4}{4}[/tex]

[tex]\\ \sf\longmapsto x-\dfrac{x^7}{7}+\dfrac{x^4}{2}[/tex]

Answer:

answer to your question is: a = 3, b = 1, c = -2

Evaluate the following division: (3b-6a)÷(30a-15b) is -1/5.

~ Algebraic Forms and their Elements

Algebraic form is a mathematical form whose presentation involves symbols or letters to represent unknown numbers.

Elements of Algebra:

1. Variables, Constants and Coefficients

Pay attention to the algebraic form 3x + 2y + 3

From the algebraic form above, x and y are variables (variables), while the number 3 is a constant. A variable is a substitute symbol for a number whose value is not clearly known. While constants are terms of an algebraic form in the form of numbers and do not contain variables.

And what is meant by the coefficient is the constant factor of a term in algebraic form. The coefficient on the 3x term is 3, on the 2y term it is 2.

2. Terms and Factors

» The term is part of the algebraic form which is limited by the operation of addition (+) or difference (-). The term one is an algebraic form that is not connected by the operation of addition or difference.

Example: 2x, 2a², -4xy, . . .

» Term two is an algebraic form that is connected by an operation of sum or difference.

Example: 2x + 3, a² - 4, 3x² - 4x, . . .

» Similar terms in algebraic form are terms that have the same variable and the same power.

Example:

2a is similar to 3a, 4a, etc.

» Factors are part of the algebraic form that is restricted to multiplication operations.

Example: 5n = 5 × n, 5 and n are factors of 4n, respectively.

Calculation Operations on Algebraic Forms

1. Addition and subtraction of algebraic forms can only be done on similar terms.

2. Multiplication and division of algebraic forms.

Multiply two terms by constants or variables.

Example:

3 (4y + 5)

= (3 × 4y) + (3 × 5)

= 12y + 15

Division of two terms with a variable or constant, for example:

(8y+4)/2 = 8y/2 + 4/2 = 4y + 2

(3b-6a)÷(30a-15b)

= (-6a + 3b) ÷ (-5(-6a+3b))

= (-6a+3b)/(-5(-6a+3b))

= -1/5

So, Evaluate the following division: (3b-6a)÷(30a-15b) is -1/5.

(mampir ke indo:v)

_____________

Class: 7 Middle School

Subject: Math

Material: Chapter 2.1 -Operations of Algebraic Forms

Categorization Code: 7.2.2.1

Keywords: Simple form of algebra