The table shows the number of words a
person types for different amounts of
time. What is the rate of words typed per
minute?
Minutes
3 5 9
Words Typed 105 175 315
A 29 words per minute
B 35 words per minute
C 70 words per minute

Here the picture, :D

The magnitude of the complex number -5 + 12i is 13 which we obtained by using formula, Magnitude [tex]= \sqrt{ a^2 + b^2}[/tex].

To find the magnitude of a complex number in the form of a+bi, where a and b are real numbers, the formula can be used is:

Magnitude = |a+bi|

[tex]= \sqrt{ a^2 + b^2}[/tex]

The  given complex number is -5 + 12i.

we have a = -5 and b = 12.

Plugging these values into the formula, we get:

Magnitude = | -5 + 12i |

[tex]= \sqrt{ (-5)^2 + 12^2}[/tex]

[tex]= \sqrt{ 25 + 144}[/tex]

[tex]= \sqrt{ 169}[/tex]

= 13

Therefore, the magnitude of -5 + 12i is 13.

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The percentage equivalent is 20.

Given,

Percentage .

Now,

Firstly calculate the fractional form,

193/965 = .2

Now to convert fraction into percentage , multiply by 100.

So,

0.2 * 100

= 20%

Thus 193 is 20% of 965 .

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Answer:

Length = 22.98 feet

Width = 9.66 feet

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Area of rectangle = 222 feet²

Translating the word problem into an algebraic expression, we have;

L = 3W - 6 ...... equation 1

We know that the area of a rectangle is given by the formula;

A = L * W

Substituting

222 = L * W ....equation 2

Substituting eqn 1 into eqn 2, we have;

222 = (3W - 6) * W

222 = 3W² - 6W

Rearranging the equation, we have;

3W² - 6W - 222 = 0

Next, we would use the quadratic formula to solve for the roots.

Note: the standard form of a quadratic equation is ax² + bx + c = 0

a = 3, b = -6 and c = -222

Solving the quadratic equation using the quadratic formula;

The quadratic equation formula is;

[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]

Substituting into the equation, we have;

[tex] x = \frac {-(-6) \; \pm \sqrt {6^{2} - 4*3*(-222)}}{2*3} [/tex]

[tex] x = \frac {6 \pm \sqrt {36 - (-2664)}}{6} [/tex]

[tex] x = \frac {6 \pm \sqrt {36 + 2664}}{6} [/tex]

[tex] x = \frac {6 \pm \sqrt {2700}}{6} [/tex]

[tex] x = \frac {6 \pm 51.96}{6} [/tex]

[tex] x_{1} = \frac {6 + 51.96}{6} [/tex]

[tex] x_{1} = \frac {57.96}{6} [/tex]

x1 = 9.66

We do not need the negative value of x, so we proceed.

Therefore, Width, W = x1 = 9.66 feet

For the length;

L = 3W - 6

L = 3(9.66) - 6

L = 28.98 - 6

L = 22.98 feet

Answer:

Rate in still water = 48 mph.

Rate of current = 14 mph.

Step-by-step explanation:

Let the rate in still water be x and rate of the current be y miles per hour.

Upstream:

x - y = 102/3

Downstream:

x + y = 186/3

Adding the 2 equations

2x = 102/3 + 186/3 = 34 + 62

2x = 96

x = 48 mph.

So 48 - y = 34

y = 48 - 34 = 14 mph.

Answer:

Can't help you on an ASIT

Step-by-step explanation:

Answer:

y = x - 10

Step-by-step explanation:

slope intercept form is

y = mx + b

m is the slope = 1

b is the y intercept = -10

Therefor

y = x - 10

Answer:

329.5ft

Step-by-step explanation:

First one: ((4+18+26)x10)/2

Second: +(18x4)

Third: (7x5)/2

=240+72+17.5

=329.5

Answer:

Infinite solutions

Step-by-step explanation:

A linear equation is given to us and we need to tell the no. of solutions. The equation is ,

=> -2-5x = - ( 5x +2)

If we look at RHS , negative sign is present outside the brackets .On opening the brackets , we have ,

=> -(5x) -(+2)

=> -5x -2

=> -2 - 5x

This is similar to LHS and hence they will represent same line . Hence they will have infinitely many solutions .

Answer:

First box: 15 * 10^10.

Second box: 300,000,000 meters per second.

Third box: 48 * 10^-13 meters.

Fourth box: 167 * 10^-29 meters.

Step-by-step explanation:

These should be correct! I put them in order from the top empty box to the bottom empty box!!!

Please mark brainliest if correct!!!

Answer:

Answer:

Step-by-step explanation:

https://www.alvinisd.net/cms/lib/TX01001897/Centricity/Domain/436/Math%201314.61%20Quiz%20Solutions.pdf it will give u the answer trust me

Answer:

j

Step-by-step explanation:

h

Answer:

D. Removeable

Step-by-step explanation:

ed2021

Answer:

It's actually C, infinite!

Step-by-step explanation:

Answer:

since you are helping me with my answer on my other account, cutiepatato about the discrimination

imma try my best to help answer yours <3

the picture is in the box

Step-by-step explanation:

Answer:

Hope this helps

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZZZZ

Answer:

OMG

Step-by-step explanation:

I had the same question

Answer:

$10.79

Step-by-step explanation:

x =  original cost of one t shirt

We can build this equation

x - (20/100) x + 3x- 5 = 36

-1/5x + 4x = 41

-x + 20x = 205

19x  = 205

x = $10.79

Answer:

Fish tanks come in all different sizes. I can't answer unless you tell me the dimensions (Length, width, height)

Step-by-step explanation:

Answer:

4/10

Step-by-step explanation:

2/5 times 2/2

Make sure To multiply with the SAME denominators and numerators.

I hope this helps!!

Answer:

6/15

Step-by-step explanation:

2/ 5 x 3/3 = 6/15

Note that to find equalivalent fractions multiply “BOTH” the numerator and the denominator

Answer:

the answer is 500ml

Step-by-step explanation:

1500/3=500

Answer:

40 mi

Step-by-step explanation:

a² + b² = c²

24² + 32² = c²

1600 = c²

√1600 = c

c = 40

Answer:

The Y-axis intercept is 2

Step-by-step explanation:

Answer:

The y-intercept is 2

Step-by-step explanation:

Given: 3y=2x+6

Convert to y=mx+b form: y=2/3x+2

Therefore, the y-intercept is 2.

Answer:

FV= $6,750

Step-by-step explanation:

Giving the following information:

Initial investment (P)= $5,000

Interest rate (r)= 5% simple interest

Number of periods (t)= 7 years

To calculate the future value of the investment, we need to use the following formula:

FV= (P*r*t) + P

FV= (5,000*0.05*7) + 5,000

FV= 1,750 + 5,000

FV= $6,750

Answer:

B D F are the binomials

Step-by-step explanation:

hope it helps

Answer:

a. H0: p1=p2 versus Ha: p1>p2

Step-by-step explanation:

Given that

p1 represent the proportion of the population for young allots 20-39

And, p2 denotes the proportion of the population for all older adults that are above 60

So,

We need to find out the hypotheses

The null & alternative hypothesis is

H_o: P_1 = P_2

H_a: P_1>P_2

This shows the right tailed test

Answer:

1cm:20cm

Step-by-step explanation:

10cm:2m

1m=100cm

10cm:200cm

÷10

1cm:20cm

Answer:

E) 6

Step-by-step explanation:

a/b = 6

36/b = 6

6b = 36

b = 36/6 = 6

b/x = 36

6/x = 36

36x = 6

x = 6/36 = 1/6

hence 1/x = 6

Answer:

E) 6

Step-by-step explanation:

a/b=6, b/x=36, and a=36

=>a = 6b

36 = 6b => b =6

b/x = 36 => x = b/36 = 6/36

so, 1/x = 36/6 = 6

Answer:

it's 99 .................

Answer:

Circumference of circle = 31.4 square meter

Step-by-step explanation:

Given:

Radius of a circle = 5 meter

Value of π = 3.14

Find:

Circumference of circle using formula "2πr"

Computation:

Circumference of circle = 2πr

By putting value of 'r' and 'π' in given formula

Circumference of circle = 2(3.14)(5)

Circumference of circle = (6.28)(5)

Circumference of circle = 31.4 square meter