The distance from one corner of a standard piece of paper to the diagonally opposite corner is 13.9 inches. If a piece of paper is 11 inches long, how many inches wide is it?

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &28000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years\dotfill &5\\ \end{cases} \\\\\\ A=28000(1 - 0.09)^{5}\implies A=28000(0.91)^5\implies A\approx 17472.90[/tex]

The value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k is 21.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k can be written as,

[tex]xy=k\\\\(7) \times (3 ) =k\\\\k= 21[/tex]

Hence, the value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k is 21.

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Answer:

D

Step-by-step explanation:

K=21

Answer:

65

Step-by-step explanation:

Use PEDMAS

P - Parenthesis ; E - exponents ; D -division ; M - mulitplication ;

A - Addition ;  S- subtraction.

First do the operation in the inner most parenthesis.

100 - [ 5 *(3 + 4)] = 100 - [ 5* 7 ]   {Now the outer parenthesis}

                             = 100 - 35

                             =  65

20.5 yeah :)

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Answer:

3^2=9 5^3=125 9^2=81

Step-by-step explanation:

exponent is just multiplying the base by itself however we many times the exponent's (the small number on the top right of the base) value is

base-->5^3<--exponent

3^2=3×3=9

5^3=5×5×5=125

9^2=9×9=81

example

6^4=6×6×6×6=1296

Answer:

1.4 grams of medison for thr whole week combinded

Answer:

1.4 g

Step-by-step explanation:

0.2 gram per day x 7 days = 1.4 g total consumed in a week

By solving a quadratic equation, we will see that the width of the walkway is 3ft.

Remember that for a rectangle of length L and width W, the area is:

A = W*L

Now, we know that for our garden we have:

W = 8ft

L = 12ft

If we add a walkway of width x around the garden, then the new measures are:

W' = 8ft + 2x

L' = 12ft + 2x

So the area is:

A' = ( 8ft + 2x)*( 12ft + 2x)

And we know that it is equal to 192 ft^2, then:

192 ft^2 = ( 8ft + 2x)*( 12ft + 2x)

Now we can solve this for x.

192ft^2 = 96ft^2 + 4x^2 + 20ft*x

0 = 96ft^2 - 192ft^2 + 20ft*x + 4x^2

0 = -96ft^2 + 20ft*x + 4x^2

This is a quadratic equation, and the solutions are given by the Bhaskara's formula:

[tex]x = \frac{-20ft \pm \sqrt{(20ft)^2 - 4*4*(-96ft^2)} }{2*4} \\\\x = \frac{-20ft \pm 44ft}{8}[/tex]

We only take the positive solution, so we get:

x = (-20ft + 44ft)/8 = 3ft

So the width of the walkway is 3ft.

If you want to learn more about quadratic equations, you can read:

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Answer:

(x - 4)

Step-by-step explanation:

x² - x - 12

to factor consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (- 1)

the factors are + 3 and - 4 , since

3 × - 4 = - 12 and + 3 - 4 = - 1 , then

x² - x - 12 = (x + 3)(x - 4) ← in factored form

Answer:

845 miles

Step-by-step explanation:

Hope this helps!

Answer:

x = 2.5

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

9(3+x) = 4(3+x)

9(3+x) - 4(3+x) = 0

(9-4)(3+x) = 0

5(3+x) = 0

15+5x = 0

-15 = 5x

x = -3

Answer:

container for catching bugs because posters have nothing to do with volume

Answer:

I think Madden should go for the poster because poster have more angles as well as width length and height.

Step-by-step explanation:

Brainliest??????

Answer:

(-6,8)

Step-by-step explanation:

Answer: 3/5

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other.

In other words, it shows when the ball hits the ground.

B is 5.625

A=2x

C=8x

5.625x2(x)*8(x)=90

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Answer:

I dont know pls ask you parents...

Step-by-step explanation:

I dont know

Check the picture below, keeping in mind that opposides sides and interior angles in a parallelogram are congruent.

Answer

x=2 and y=2√2

Step-by-step explanation:

[tex] \sin( \alpha ) = \frac{2 \sqrt{2} }{x } \\ x = \frac{2 \sqrt{2} }{ \sin(45) } \\ x = 4 \\ {x}^{2} = {y}^{2} + 2 \sqrt{2} \\ {4}^{2} = {y}^{2} + (2 \sqrt{2 \: )}^{2} \\ 16 = {y}^{2} + 8 \\ 16 - 8 = {y}^{2} \\ y = \sqrt{8} \\ y = 2 \sqrt{2} [/tex]

Considering that outliers will be disconsidered, the correct statement is:

The coach can use the Interquartile Range to summarize the runners' times.

It is the values of a data-set that are between the 25th percentile and the 75th percentile, that is, the middle 50% of the values. It's advantage in certain situation is that it disconsiders outliers.

In this problem, the best way to summarize the times is disconsidering outliers, hence the Interquartile Range is used, as it indicates how close all runners' times were to each other.

More can be lerned about the Interquartile Range at https://brainly.com/question/17083142

Answer:

  A. horizontal velocity is constant at 25 m/s in every interval

  B. downward velocity increases by 9.8 m/s each second, to 19.6 m/s, 29.4 m/s, 39.2 m/s, 49.0 m/s

Step-by-step explanation:

Since the ball is not rocket-powered, it has no acceleration in the horizontal direction. (We ignore slowing due to air friction.) The horizontal velocity remains constant at 25 m/s.

__

The vertical acceleration is given as 9.8 m/s² in the downward direction. That is, each second the ball is in motion, its velocity downward increases by 9.8 m/s. The table can be filled with ...

  t = 2 s, v = -19.6 m/s

  t = 3 s, v = -29.4 m/s

  t = 4 s, v = -39.2 m/s

  t = 5 s, v = -49.0 m/s

__

The sign is negative because the direction is downward. Positive is up.

The student is wrong because y = 1 represent lienar equation of a horizontal line. Disagree.

Equation of a line in slope-intercept form, is y = mx + b, where m is the slope and b is the y-intercept of the linear graph.

Where m (slope) = 0, the linear equation would be, y = b, which suggest that the line is horizontal, and intersects the y-axis at point b.

Therefore, the student is wrong because y = 1 represent lienar equation of a horizontal line. Disagree.

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Answer:

7

Step-by-step explanation:

Answer:

0 < t ≤ 8  (in hours)

Up to (and including) 8 hours

Step-by-step explanation:

Let t = number of hours the room is rented

Given:

Create an equation using the given information and solve for t:

⇒ 39 + 9.8t ≤ 117.4

Subtract 39 from both sides:

⇒ 9.8t ≤ 78.4

Divide both sides by 9.8

⇒ t ≤ 8

Therefore, the possible amounts of time for which they could rent the meeting room is 0 < t ≤ 8  (in hours)

Answer:

8 is the very maximum number of hours the room can be rented. As long as 8 is not exceeded, the room is rentable for what money the math club has.

Step-by-step explanation:

Givens

Formula

payment ≥ 39 + 9.80*t                where t is in hours.

Solution

117.40 ≥ 39 + 9.80*t                      Subtract 39 from both sides.

117.40 - 39 ≥9.80*t

78.40 ≥ 9.80*t                               Divide by 9.8

78.40/9.80 ≥ 9.80*t/9.80

8 ≥ t    

Answer t≥ 8

Answer:

$3.31 for each

Step-by-step explanation:

$6.62 divided by 2 = $3.31

Answer:

$6.62 divided by 2= $3.31

Step-by-step explanation:

What your going to do is divide 6 by 2 = 3

Next divided 62 by 2 = 32

Easy =)

Have a great day/night

Answer:

145%

Step-by-step explanation:

140+63 = 203

203/160 = 1.45

1.45x100 = 145%

Answer:

0.03

Step-by-step explanation:

[tex] \frac{0.21}{7} [/tex]

==>

[tex] \frac{0.21 \times 100}{7 \times 100} [/tex]

===>

[tex] \frac{21}{7} \times \frac{1}{100} [/tex]

==>

[tex]3 \times \frac{1}{100} [/tex]

==>

[tex] \frac{3}{100} [/tex]

==>

[tex]0.03[/tex]

Answer:

-2,4

Step-by-step explanation:

to do a reflection across the y axis, apply -x,y to your coordinates

Answer:

multiply base area by 2 , and add the base perimiter and height

Step-by-step explanation:

hope this helped