Miles can type 60 words per minute. Let w represent the total number of words Miles can type and m represent the number of minutes he types. Which equation best represents this?

Answer:

-40%

Step-by-step explanation:

NV = new value

OV = old value

percent change = (NV - OV)/(OV) × 100%

percent change = (30 - 50)/(50) × 100%

percent change = -20/50 × 100%

percent change = -40%

The radius of Convergence  for the function [tex]\frac{\[(-1)^{n} \; x^{n} }{\sqrt[3]{n} }[/tex]  is 1.

The radius of the largest disk at the center of the series in which the series converges.

Perform the ratio test for absolute convergence, which says

if    [tex]\lim_{n \to \infty} \frac{a_{n}}{a_{n+1}}[/tex]   =L

Then,

1) if L<1, the series is absolutely convergent

2) If L>1, the series is divergent

3) If L= 1, apply a different test.

Now, Applying test

[tex]a_{n+1}[/tex] =[tex]\frac{(-1)^{{n+1} } \; x^{n+1}}{\sqrt[3]{n+1} }[/tex]

So,

[tex]\lim_{n \to \infty} \frac{a_{n+1}}{a_{n}}[/tex]  = [tex]\lim_{n \to \infty}|\frac{ (-1)^{{n+1} } \; x^{n+1}/\sqrt[3]{n+1} }{ (-1)^{n} \; x^{n} /\sqrt[3]{n} } |[/tex]

                     = [tex]\lim_{n \to \infty}|\frac{ (-1)^{{n+1} } \; x^{n+1}\sqrt[3]{n}}{ (-1)^{n} \; x^{n} \sqrt[3]{n+1} } |[/tex]

                     = [tex]\lim_{n \to \infty}|\frac{ (-1) \; x^{n}\sqrt[3]{n}}{ \sqrt[3]{n+1} } |[/tex]

                    = [tex]\lim_{n \to \infty}\sqrt[3]{\frac{1}{1+\frac{1}{n}} } } |x|[/tex]

Applying the limit n→∞,

= 1 x |x|

= |x|

By ratio test, the given series will be convergent if |x|< 1.

So, the radius of Convergence = 1

Learn more about radius of Convergence here:

https://brainly.com/question/18763238

#SPJ4

Answer:

14 mm

Step-by-step explanation:

Just as the little side is 1/4 of the larger side , so is the perimeter

1/4 * 56 = 14 mm

The expression that represents the height of the prism is 2850/b where b is the base area

The given parameter is:

Volume = 2850

Let the height of the prism be h, and the base area be b.

The volume is calculated using:

V = bh

Make h the subject

h = V/b

Substitute V = 2850

h = 2850/b

Hence, the expression that represents the height of the prism is 2850/b

Read more about volume at:

https://brainly.com/question/1972490

#SPJ1

Answer :The constant of proportionality is  K = 2/3

Answer:

Ray, you need the slope-intercept formula  y=mx+b

Step-by-step explanation:

Next you'll need 2 points,  any points are fine.  Just find two easy ones along the line.  I'll just pick  Point 1  as P1 = ( 0,4)  and point 2 as P2 = (4,0) because they are easy to work with.

next use

point P1 (0,4)  in the form (x1,y1)

point P2(4,0)  in the form (x2,y2)

slope = m

m = (y2-y1) / (x2-x1)

m = (0-4) / (4-0)

m = -4 / 4

m = -1

now use the point slope with one of the points,  to find the slope-intercept form.

y - y1 = m(x -x1)

y - 4 =  -1(x-0)

y -4 = -x

y = -x + 4

note:

y = mx +b

y = (-1)x + b    is the form.   see?

Answer:

y = mx + b

m = slope

b = intercept

From the graphic:

(x₁, y₁) = (0, 4)

(x₂, y₂) = (4, 0)

[tex]\frac{y-y_{1} }{y_{2} -y_{1} } =\frac{x-x_{1} }{x_{2} -x_{1} } \\\\\frac{y-4 }{0 -4} =\frac{x-0 }{4 -0 } \\\\\frac{y-4}{-4} =\frac{x}{4} \\\\(y-4)4=-4x\\\\y-4=-x\\y=-x+4\\[/tex]

Answer:

6 pieces of rope

Step-by-step explanation:

if the total is 54 and each are 9 you can make an equation

54= 9 x a

solve for a

to do this you divide 54 by 9

54/9=6

Answer:

6 pieces of rope

Step-by-step explanation:

54/9

Answer:

4 units

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

given A = 14 and h = 7 , then

[tex]\frac{1}{2}[/tex] × 7b = 14 ( multiply both sides by 2 to clear the fraction )

7b = 28 ( divide both sides by 7 )

b = 4 units

x=-4

Step-by-step explanation:

see the picture for full solution

The sentences here are all simple sentences and all begin with the same word.

A paragraph is used to show a complete thought. It is important that a paragraph ought to be presented in complete sentences. However the sentences here are all simple sentences and all begin with the same word.

The reasons pointed out above makes the paragraph appear clumsy and boring to read. The writer should revise the paragraph and introduce a more complex sentence structure as well as the use of pronouns where neccessary.

Learn more about paragraphs:https://brainly.com/question/24460908

#SPJ4

Answer:

B

Step-by-step explanation:

edge 22

Answer:

x = √51

Step-by-step explanation:

The given figure is a right triangle.

Using the Pythagorean Theorem to find x

Answer:

x = 1/20 y^2

Step-by-step explanation:

This is a rightward opening  (sideways ) parabola

Directrix = x = -5

Distance formula form point x,y  to directrix and focus are equal:  

(x - -5)^2 = (x-5)^2 + y^2

x^2 + 10x + 25 = x^2 - 10x  + 25 + y^2

20x = y^2

x = 1/20 y^2

Answer: 85 lbs

Step-by-step explanation:

$107.95 / $1.27 = 85 pounds of dog food

The distance between J(-5, -3) and K(1, 5) on the coordinate plane is about 10 units.

An equation is an expression that shows the relationship between two or more numbers and variables.

Point J is at (-5, -3) while point K is at (1, 5), hence:

[tex]JK=\sqrt{(5-(-3))^2+(1- (-5))^2} =10\ units[/tex]

The distance between J(-5, -3) and K(1, 5) on the coordinate plane is about 10 units.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

Vol_prism = 48 (all answers should have the units cm^3)

Vol_pyramid = 25

Vol_cyl = 37.68

Vol_cone = 12.56

Vol_sphere = 113.04

Step-by-step explanation:

This was a very compact problem (5 problems!) You read the chart top to bottom and each column is a different problem.

Vol of a prism:

V = l×w×h = 4×4×3

= 48 cm^3

Vol of a pyramid:

V = 1/3Base•h

= 1/3 (5×5)•3

= 25 cm^3

Vol of a cylinder:

V = pi•r^2•h

= pi•2^2•3

= pi•4•3

= 12pi = 12(3.14)

= 37.68 cm^3

Vol of cone:

= 1/3pi•r^2•h

= 1/3pi•2^2•3

= 4pi = 4(3.14)

= 12.56 cm^3

Vol of a sphere:

V = 4/3pi•r^3

= 4/3 pi•3^3

= 4/3 pi•27

= 36pi = 36(3.14)

= 113.04 cm^3

Pheewwwww! That was a lot! Hopefully you are just reviewing all your volume formulas. Hope this helps!

Answer:

67.38 degrees

Step-by-step explanation:

this is a right triangle so we can use sohcahtoa

we want to calculate angle A

we know the side opposite to A as well as the hypotenuse. 13 is the hypotenuse because it is opposite the right angle

thus, sin(A) = opposite/hypotenuse = 12/13

arcsin(12/13) = A ≈ 67.38 degrees

Check the picture below.

[tex]\stackrel{parent}{y=x^2}\hspace{5em}y=\stackrel{A}{4}(\stackrel{B}{1}x\stackrel{C}{-2.5})^2\stackrel{D}{-3} \\\\\\ \hspace{7em} \begin{array}{llll} \textit{stretch by }4\cdot 1\implies 4\\\\ \textit{translated by }\frac{2.5}{1}\implies 2.5\textit{ to the right}\\\\ \textit{downwards shift by }3 \end{array}[/tex]

Answer:

9

Step-by-step explanation:

For the equation x² - 6x = 5 the coefficient of the term x is -6

(-6/2)2 = 9

The given equation can be written as

x2 - 6x + 9 = 5 + 9

x2 - 6x + 9 = 14

We can write it as

(x - 3)2 = 14

Take square root on both sides.

|x - 3| = √14

We get

x = 3 + √14

In other case,

- x + 3 = √14

x = 3 - √14

Therefore, 9 should be added to both sides of the equation to complete the square (x2 - 6x = 5).

What number should be added to both sides of the equation to complete the square (x2 - 6x = 5)?

Summary:

The number that should be added to both sides of the equation to complete the square (x2 - 6x = 5) is 9.

Answer:

Answer: C 2:3

Step-by-step explanation:

total students = 25

total girls = 15

total boys = 25-15 = 10

boys:girls = 10:15

divide by 5 to get 2:3

Answer:

20 + 6n > 75(the sign has an underline)

To determine how many miles Kayla needs to hike each week for the next 6 weeks to reach her goal of at least 75 miles, we can subtract the miles she has already hiked from her target goal and divide it by the number of weeks remaining.

Target goal - Miles already hiked = Miles remaining

75 miles - 20 miles = 55 miles remaining

Now, we divide the remaining miles by the number of weeks:

55 miles / 6 weeks = 9.17 miles per week (approximately)

Therefore, Kayla needs to hike approximately 9.17 miles each week for the next 6 weeks in order to reach her goal of at least 75 miles.

Answer:

1/12

Step-by-step explanation:

probability of tails is 1/2

probability of 1 out of 6 is 1/6

so 1/2 x 1/6 = 1/12

Answer:

x = 35.5

Step-by-step explanation:

assuming all sides are equal (a square),

4x = 142

4x / 4 = 142 / 4

x = 35.5

Step-by-step explanation:

The function f(x) =  x² + 12x is a quadratic function, and the vertex of the function is (-6,-36)

The equation of the function is given as:

f(x) =  x² + 12x

Differentiate the function

f'(x) = 2x + 12

Set the function to 0

2x + 12 = 0

Add -12 to both sides

2x = -12

Divide both sides by 2

x = -6

Set x = -6 in the function f(x)

f(-6) =  (-6)² + 12(-6)

Evaluate

f(-6) =  -36

Hence, the vertex of the function is (-6,-36)

Read more about axis of symmetry at:

https://brainly.com/question/15709421

#SPJ4

Answer:

the vertex of the function is (-6,-36)

Step-by-step explanation:

Pls add brainliest pls

Answer: Pretty Simple; an easy equation could be 10 + 4 = 14.

Step-by-step explanation:

A more difficult equation might be (10(8) - 70) + 4 = 14

:)

Answer:

7x2=14

8+6=14

7+7=14

5x2.8=14

28/2=14

140/10=14

100-86=14

81(+-)67= 81-67=14

Answer:

74

Step-by-step explanation:

(23-3)+(6×9)

(20) +(54)

=74

Answer:

Yes if Greg and his partner can both eat 18 inch pizza then together they can eat a 36 inch pizza

Step-by-step explanation:

18+18=36

x(36) is greater then or equal to 36 making this equation true