Given the piecewise function shown below, select all of the statements that are true.

Greyson will need to walk "18.94 miles" each week. A complete solution is provided below.

According to the question,

One step's length,

= 2 feet

Total number of steps,

= 50,000

then,

→ The total distance travelled will be:

= [tex]50000\times 2[/tex]

= [tex]100000 \ feet[/tex]

We can say that the relation between feet and miles will be 5280 ft,

= 1 mile

hence,

→  [tex]100000 \ feet = \frac{100000}{5280}[/tex]

                       [tex]=18.94 \ miles[/tex]

Thus the above is the correct answer.

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Answer:

Sol Levin needs to sell 49 pairs shoes on Saturday.

Step-by-step explanation:

29 x 6 = 174

(22 x 3) + 28 + 31 + x = 174

66 + 28 + 31 + x = 174

94 + 31 + x = 174

125 + x = 174

(125 - 125) + x = (174 - 125)

x = 49

Answer:

C. (Image 092618

Step-by-step explanation:

[tex]slope = \frac{y_{2} - y_{1} }{x _{2} - x_{1} } [/tex]

y1 is 2

y2 is -1

x1 is -3

x2 is 7

substitute:

[tex]slope = \frac{ - 1 - 2}{7 - ( - 3)} [/tex]

2cos2x=y

dy/dx(2cos2x)=-4sin2x

d/du cosu= u'×cos'u=-u'×sinu

d/du sinu= u'×sin'u= u'×cosu

d/du tanu = u'×(1+tan²u)

d/du cotu = u'×-(1+cot²u)

proof for cosu :

cos2x= 1-2sin²x

or 2cosx²-1

or cos²x-sin²x

we will one of this fro example let's take the first one

d/dx 1-2sin²x=0-2×2(sinx)×cosx=-2sin2x

and we have 2 in the begining so its -4sin2x

Answer:

-5/3

Step-by-step explanation:

Answer:

13 + 7/9-5-16

answer : -5/3

use BODMAS to solve this question

9514 1404 393

Answer:

Step-by-step explanation:

If P is the perimeter of the larger triangle, then 3/5P will be the perimeter of the smaller one. The difference in perimeters is ...

  P -3/5P = 40 in

  2/5P = 40 in

  P = (5/2)(40 in) = 100 in

  3/5P = 3/5(100 in) = 60 in

The smaller triangle perimeter is 60 in; the larger is 100 in.

Answer:

-155

Step-by-step explanation:add them all up together

The new status of John's account at this point is -$155

Using this formula

 New status=(-Account status-Cheque amount)-Bank charges

Let plug in the formula

 New status= (-$112-$22)-$21-

 New status=-$134-$21

 New status=-$155

Inconclusion The new status of John's account at this point is -$155

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Answer:

I do not know

Step-by-step explanation:

Answer:

1, 5

Step-by-step explanation:

a numerical or constant quantity placed before and the variable in an algebraic expression (e.g. 4 in 4x y).

Answer: 1 and 5

Step-by-step explanation:

[tex]\sf 1^3+2^3\dots n^3=\dfrac{n^2(n+1)^2}{2}[/tex]

[tex]\\ \sf\longmapsto 1^3+2^3+\dots n^3=\left(\dfrac{n(n+1)}{2}\right)^2[/tex]

Let

[tex]\\ \sf\longmapsto P(n)=1^3+2^3\dots n^3=\left(\dfrac{n(n+1)}{2}\right)^2[/tex]

For n=1

[tex]\\ \sf\longmapsto P(1)=\left(\dfrac{1(1+1)}{2}\right)^2[/tex]

[tex]\\ \sf\longmapsto P(1)=\left(\dfrac{1(2)}{2}\right)^2[/tex]

[tex]\\ \sf\longmapsto P(1)=\left(\dfrac{2}{2}\right)^2[/tex]

[tex]\\ \sf\longmapsto P(1)=(1)^2[/tex]

[tex]\\ \bf\longmapsto P(1)=1=1^3[/tex]

Let k be any positive integer.

[tex]\\ \sf\longmapsto P(k)= 1^3+2^3\dots k^3=\left(\dfrac{k(k+1)}{2}\right)^2[/tex]

We have to prove that p(k+1) is true.

consider

[tex]\sf 1^3+2^3\dots k^3+(k+1)^3[/tex]

[tex]\\ \sf\longmapsto \left(\dfrac{k(k+1)}{2}\right)^2+(k+1)^3[/tex]

[tex]\\ \sf\longmapsto \dfrac{k^2(k+1)^2}{4}+(k+1)^3[/tex]

[tex]\\ \sf\longmapsto \dfrac{k^2(k+1)^2+4(k+1)^3}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{k+1)^2\left\{k^2+4k+4\right\}}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{(k+1)^2(k+2)^2}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{(k+1)^2(k+1+1)^2}{4}[/tex]

[tex]\\ \sf\longmapsto \left(\dfrac{(k+1)(k+1+1)}{2}\right)^2[/tex]

[tex]\\ \sf\longmapsto (1^3+2^3+3^3\dots k^3)+(k+1)^3[/tex]

Thus P(k+1) is true whenever P(k) is true.

Hence by the Principal of mathematical induction statement P(n) is true for [tex]\bf n\epsilon N.[/tex]

Note:-

We can solve without simplifying the Question .I did it for clear steps and understanding .

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Answer:

Step-by-step explanation:

[tex]1^3=1=\dfrac{1^2*(1+1)^2}{4} =\dfrac{4}{4} =1\\\\\\\displaystyle \sum_{i=1}^{n+1}\ i^3=(\sum_{i=1}^{n}\ i^3) + (n+1)^3\\\\\\=\dfrac{n^2*(n+1)^2}{4} +(n+1)^3\\\\\\=(n+1)^2*(\frac{n^2}{4} +n+1)\\\\\\=(n+1)^2*\dfrac{n^2+4n+4}{4} \\\\\\=\dfrac{(n+1)^2*(n+2)^2}{4}[/tex]

Answer:

x<1

Step-by-step explanation:

why? because is still 0....

9514 1404 393

Answer:

  B. x = 0.80

Step-by-step explanation:

We suspect you want the solution to the exponential equation ...

  4e^(2x) +16 = 36

  e^(2x) +4 = 9 . . . . . . . . . . . divide by 4 (because we can)

  e^(2x) = 5 . . . . . . . . . . . . . . subtract 4

  2x = ln(5) . . . . . . . . . . . . . . . take natural logs

  x = ln(5)/2 ≈ 0.804719 . . . . .divide by the coefficient of x

  x ≈ 0.80

Answer:

7/17

Step-by-step explanation:

Answer:

2°C

Step-by-step explanation:

outdoor temperature

Answer:

4.8

Step-by-step explanation:

3:5  

3/5 : 1

8(3/5):1(8)

4.8:8

Answer:

40%

Step-by-step explanation:

40+30+70=140

180-140= 40

Answer:

6x - 15

Step-by-step explanation:

(2x - 5)3

3(2x) - 3(5)

6x - 15

Answer:

{6, 8, 10, 12, 14, 16, 18, 20, ...}

Step-by-step explanation:

even natural numbers >/= 6.

Thus this has no upper limit and the set is thus infinite.

The set of even natural numbers greater than or equal to 6 is

" The natural numbers are those numbers used for counting and ordering. Numbers used for counting are called cardinal numbers."

We know the natural numbers are:

{1, 2, 3, 4, 5, 6, 7,..........}

Now, the set of even natural numbers are:

{2, 4, 6, 8, 10...........}

Therefore, the set of even natural numbers greater than or equal to 6 is

{6, 8, 10, 12,..............}

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9514 1404 393

Answer:

  3 gallons

Step-by-step explanation:

When calculations are repetitive, I find it convenient to use a spreadsheet to do them. The formulas used are ...

  distance between points (x1, y1) and (x2, y2) = √((x2-x1)² +(y2-y1)²)

  length of walls to be painted: AB +BC +DE +EA = 34.5 ft

  area of walls to be painted: (length)(11 ft) = 379.3 ft²

  gallons of paint needed: area/(147 ft²/gallon) = 2.6 gal

About 3 gallons of paint are needed to paint 4 walls of the room.

Answer:

x = 1

Step-by-step explanation:

Vertical angles are opposite angles formed by two lines.

Both the angles are equivalent

65x - 12 = 43x + 10

Subtract 43x from both sides

22x - 12 = 10

add 12 from both sides

22x = 22

Divide each side by 22

x = 22/22

x = 1

If my answer is incorrect, pls correct me!

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The x-coordinate is the same in each pair of points, so the line segment will be a vertical line segment 3 units long.

Answer:

Yeah, She can.

Step-by-step explanation:

Simply using 8/5

Answer:

The answer is option 1

Step-by-step explanation:

For the linear inequality on the top line of the system, it's saying that the y-value must be greater than or equal to 1.  This is verified by the graph because all y-values that fit the criteria of the linear inequality are shaded.  The graph is also showing for the dotted line that the area is shading all points where, if you subtract an x-value from a y-value, the difference will always be greater than 0.  Note that this does not apply for points ON the line, as it cannot be equal to 0.  This matches with the linear inequality on the bottom line of option 1.

Answer:

y = -5/3x + 3

Step-by-step explanation:

First lets turn the equation from standard form to slope intercept form.

3x - 5y = 1

~Subtract 3x to both sides

-5y = 1 - 3x

~Divide -5 to everything

y = -1/5 + 3/5x

~Reorder

y = 3/5x - 1/5

Now that we have the equation in slope intercept form, we can find the new equation. A perpendicular line will have the opposite reciprocal of the original slope.

3/5x -> -5/3x

Now that we have the slope, we can use the given point to find the y-intercept.

y = -5/3x + b

8 = -5/3(-3) + b

8 = 5 + b

3 = b

Put all the information we solved for into a final equation.

y = -5/3x + 3

Best of Luck!

Answer:

-1/10

Step-by-step explanation:

(5/(-10))/5 = -(5/10)/5 = 1/10

(Hopefully this helped you out!)

Answer:

1/3

Step-by-step explanation:

Answer:

75+30=105....................

Answer:

the second and the last one

Step-by-step explanation:

answer was revealed on edg after i took quiz

The option (2) As x → ∞, y → ∞, and option (6) As x → –∞, y → –∞ are correct if the function f(x) = (x - 2)(x + 2)/(x + 1).

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function shown in the picture.

f(x) = (x - 2)(x + 2)/(x + 1)

The above function is a fractional function:

The denominator of the function cannot be zero:

x + 1 ≠ 0

x ≠ -1

From the graph of a function:

If x → ∞, y → ∞

If x → –∞, y → –∞

Thus, the option (2) As x → ∞, y → ∞, and option (6) As x → –∞, y → –∞ are correct if the function f(x) = (x - 2)(x + 2)/(x + 1).

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Answer:

B

Step-by-step explanation:

f^(-1) (x) = (x-1)/3

f^(-1) (10) = (10-1)/3 = 3.