What is the median of the data

44,13,36,52,19,27,33

Answer:

4/19

Step-by-step explanation:

Both the numerator and denominator can be divided by 2, giving 4/19

The answers will be:

a) The slope of the curve g(x) roughly matches that of f(x) at about x=4. Above that point, the curve g(x) is steeper than f(x), so its average rate of change will exceed that of f(x). An appropriate choice of interval is (4, 5).

b) As x increases, the slope of f(x) remains constant (equal to 4). The slope of g(x) keeps increasing as x increases. An appropriate choice of rate of change descriptors is (remain constant and increase).

c) The curves are not shown in the problem statement for x = 8. The graph below shows that g(x) has already exceeded f(x) by x=7. It remains higher than f(x) for all values of x more than that. We can also evaluate the functions to see which is greater:

 f(8) = 4·8 +3 = 35

 g(8) = (5/3)^8 ≈ 59.54 . . . . this is greater than 35

 g(8) > f(8)

d) Realizing that an exponential function with a base greater than 1 will have increasing slope throughout its domain, it seems reasonable to speculate that it will always eventually exceed any linear function (or any polynomial function, for that matter).

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1.    (4,5)

2.    remain constant and increase

3.    g(x) exceeds the value of f(x)

4.     eventually

Step-by-step explanation:

Answer:

68.3 miles per hour

Step-by-step explanation:

One kilometer is 0.62 miles.

110 times 0.62 is 68.3

Wendy's rate of 110 kilometers per hour is 68.3 miles per hour.

To convert kilometers per hour to miles per hour, we need to use the conversion factor of 1 kilometer = 0.621371 miles.

Given that Wendy drives at a rate of 110 kilometers per hour.

we can multiply this value by the conversion factor to obtain the equivalent rate in miles per hour.

110 kilometers per hour × 0.621371 miles per kilometer

= 68.34381 miles per hour

We get 68.3 miles per hour.

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Using an exponential function, it is found that an appliance currently valued at $1,500 will be worth $150.17 in 8 years.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem, we have that:

Thus, the equation is given by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(t) = 1500(1 - 0.25)^t[/tex]

[tex]A(t) = 1500(0.75)^t[/tex]

In 8 years, the value will be given by:

[tex]A(8) = 1500(0.75)^8 = 150.17[/tex]

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Answer:

the answer of that question is 45

Answer:

Answer is [tex]m(-1/2)=-1/12[/tex]

Step-by-step explanation:

[tex]m(-\frac{1}{2})=\frac{1}{6} *-\frac{1}{2} =-\frac{1}{12}[/tex]

The distance between the diagonal and the the perimeter of the field is given by D = 229.2 m

The diagonal of a rectangle is calculated by the formula

From the Pythagoras Theorem , The hypotenuse² = base² + height² , and

Diagonal of a Rectangle = √ ( Length )² + ( Width )²

Given data ,

Miranda is standing at the corner of a 70 m by 110 m soccer field.

Let the dimensions of the rectangle be 70m x 100m

Now , the length of the diagonal is D

And , from the Pythagoras theorem ,

Diagonal of a Rectangle = √ ( Length )² + ( Width )²

D = √ ( 70 )² + ( 110 )²

D = 130.8 m

Now , the perimeter of the rectangle is P = 2 ( 70 + 110 ) = 360 m

And , walking around the perimeter of the field

Now , by cutting across the diagonal instead of walking around the perimeter of the field, Miranda can save approximately 360 m - 130.8 m ≈ 229.2 m.

Hence , the diagonal of the rectangle is 130.8 m

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The expression (2/7)x (1.4x² - 3.5y) can be written in the form of a polynomial as 0.4x³ - xy.

Polynomial is an algebraic expression that consists of variables and coefficients. Variables are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

The expression is given below

[tex]\rm \dfrac{2x}{7} \times (1.4x^2-3.5y)[/tex]

The expression can be written in the form of the polynomial

[tex]\rightarrow \rm \dfrac{2x}{7} \times (1.4x^2-3.5y)\\\\\\\rightarrow \rm \dfrac{2x \times 1.4x^2}{7} - \dfrac{3.5y\times 2x}{7 }\\\\\\\rightarrow \dfrac{2.8x^3}{7} - \dfrac{7xy}{7 }\\\\\\\rightarrow 0.4x^3 - xy[/tex]

The expression in the form of a polynomial is given as

[tex]\rm \rightarrow 0.4x^3 - xy[/tex]

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Answer:

pls like and make me brainliest :)

Step-by-step explanation:

1275 divided by 15=$85 each

Answer:

D

Step-by-step explanation:

y=6x+2

2=12+2

NO
y=-x

2=-2

NO

y=2x+6

2=4+10

NO

y=x

2=2

6=6

Answer:

[tex]y=x[/tex]

Step-by-step explanation:

We will use slope-intercept form:

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

Where [tex]m=[/tex]slope and [tex]b =[/tex]y-intercept

To find the slope we use the slope formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

We plug in the coordinates getting:

[tex]\frac{6-2}{6-2} =\frac{4}{4} = 1[/tex]

So we have a slope of 1:

[tex]y=(1)x+b[/tex]

If we look at the answer choice we see that only one of them has a slope of 1 so the equation is:

[tex]y =x[/tex]

Answer:

its answer a :)

Step-by-step explanation:

875/23 = 38.04, round down to get 38

Answer:

(2,0)

(-5,-4)

Step-by-step explanation:

you first have to determine where the two graphs intersect, then easily you should write the (x,y) of the point in which there is an intersection

Answer:

11

Step-by-step explanation:

Perimeter is figured out by adding all 4 sides.

Width of 11 + width 11 + length 15 + length 15 = 52

And the length of 15 is 4 more than the width of 11

Answer:

7^4 = 2401

Step-by-step explanation:

___, ___, ___, ___

all blank spaces can be filled with all 7 numbers each.. so 7*7*7*7 is total number of paterns you can get if repititions is allowed

Answer:

ok real answer 2,-3

Step-by-step explanation:

Answer:

Slopes is like a slide

Step-by-step explanation:

let me slide into you snap ajhare03

Step-by-step explanation:

7. Since they are similar triangles we have:

[tex] \frac{10}{8} = \frac{x}{12} \\ \\ x = 15[/tex]

So DF is 15

8. They are also similar. So:

[tex] \frac{14}{7} = \frac{x}{5} \\ x = 10[/tex]

So PR is 10

Another pair of coordinates that could be the missing ordered pair, (x,y) in this set is (1, 0)

Linear functions are functions that have a leading degree of one,

Given the coordinate points ((-2,-3), (0,-2), (2, -1), (x, y)}, we need to determine the missing coordinate points

Since the x-coordinates has a difference of 2, hence the missing x-coordinate is given as:

x = -1 + 2
x = 1

For the y-coordinate

y = -1 + 1
y = 0

Hence another pair of coordinates that could be the missing ordered pair, (x,y) in this set is (1, 0)

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Answer:

compound interest would be,

1495.91

and simple interest would be,

1470

Step-by-step explanation:

compound interest would look like,

1200 x 1.045 x 1.045 x 1.045 x 1.045 x 1.045

and simple interest would look like,

1200 x 0.045 = 54 = 4.5%

54 x 5 = 270

1200 + 270 = 1470

Answer:

1610 times

Step-by-step explanation:

Number of times a batter came to the plate

Answer:

Step-by-step explanation:

1.

Center: (-2, 3)

Radius: 10/2 = 5

Standard form/ equation: (x + 2)² + (y - 3)² = 25

Standard form:

(x - (-2))² + (y - 3)² = 5²

(x + 2)² + (y - 3)² = 25

2.

Center: (1, 1)

Radius: 6/2 = 3

Standard form/ equation: (x - 1)² + (y - 1)² = 9

Standard form:

(x - 1)² + (y - 1)² = 3²

(x - 1)² + (y - 1)² = 9

Hope this helps!

#1

Equation:-

More simply.

#2

Equation

Answer:

Given:

⇒ Weekly income = 38 × $19.50 = $741

⇒ Monthly income = ($741 × 52.14) ÷ 12 = $3219.65

28% of monthly income

= 0.28 × $3219.65 = $901.50

As $1700 > $901.50 Manuel should not rent the house for $1700 per month since it is more than 28% of his income.

The cost of rent at $1700 per month is actually 52.8% of his monthly income:

(1700 / 3219.65) x 100 = 52.8%

Basically to find solutions of the equation. Find the x intercept points.

Equation: x² - 4x + 2

when solved using quadratic formula:

[tex]\dashrightarrow \sf x_{1,2}= \dfrac{-\left(-4\right)\pm \sqrt{\left(-4\right)^2-4\cdot \:1\cdot \:2}}{2\cdot \:1}[/tex]

[tex]\dashrightarrow \sf x_1 \dfrac{-\left(-4\right)+2\sqrt{2}}{2\cdot \:1},\:x_2=\dfrac{-\left(-4\right)-2\sqrt{2}}{2\cdot \:1}[/tex]

[tex]\dashrightarrow \sf x=2+\sqrt{2}, \ 2-\sqrt{2}[/tex]

[tex]\dashrightarrow \sf x=3.414, \ 0.586[/tex]

These are the solutions to the quadratic equation.

Answer:

x ≈ 0.6 , x ≈ 3.4

Step-by-step explanation:

the solutions to the quadratic equation from the graph are where the graph crosses the x- axis.

these are at approximately x = 0.6 and x = 3.4

Answer:

y=0.75x+5

Step-by-step explanation:

x=20

y=20

20-5=15

15/0.75=20

20 games

Step-by-step explanation:

a. y-y1/y2-y1=x-x1/x2-x1

y+9/-5+9=x-9/10-9

y+9/4=x-9/1

y+9/4=x-9

b. y+9=4(x-9)

y+9=4x-45

y-4x=-45-9

y-4x=-54