You notice a hot air balloon descending. The elevation h
(in feet) of the balloon is modeled by the function h(x)=−8x+360,
where x
is the time (in seconds) since you first noticed the hot air balloon.

Graph the function and specify its domain and range. Then interpret the slope and intercepts of the graph.

Answer:

4n+11

Step-by-step explanation:

-2n+6n=4n

Hope this helps! :)

Answer:

4n+11

Step-by-step explanation:

Move the variables together

-2n+6n+11

4n+11

Answer:

Step-by-step explanation:

You are to make 5 assemblies.

Each assembly requires the use of 1 Type A bolt.

To make the 5 assemblies, you need 5 Type A bolts.

The container of bolts has a total of 60 bolts.

The focus - Type A bolts - is 20 out of this 60.

The probability of obtaining a Type A bolt at all, is 20/60, which is = 1/3

(A) What is the probability of taking the exact number of Type A bolts you need for your 5 assemblies, if you randomly take 10 bolts from the container?

- The exact number of Type A bolts you need for the 5 assemblies is 5

1/3 × 5/10 =  5/30 =  1/6 =  0.167

(B) What is the probability of taking/having less than 5 Type A bolts out of the randomly selected 10 bolts? The solution is to sum up the following:

1/3 × 4/10 = 0.133

1/3 × 3/10 = 0.1

1/3 × 2/10 = 0.067

1/3 × 1/10 = 0.033

1/3 × 0/10 = 0

TOTAL = 0.333

Answer:

x = -2

Step-by-step explanation:

Let x be the number:

I hope this helps!

Answer:

Trailer Park Boys I believe

Answer:

trailer park boys i think

Step-by-step explanation:

Answer:

117188652

Step-by-step explanation:

Answer:

117,188,652

Step-by-step explanation:

Hope this helps!! And good luck!

Answer:

(a - b)²

Step-by-step explanation:

We are given 2 (a - b) terms.

We can rewrite this as (a - b)².

Answer:

vertical 5

Step-by-step explanation:

Answer:

C. 8,034

Step-by-step explanation:

26 x 309 = 8,034

Answer:

use Desmos its a graphing calculator

Step-by-step explanation:

Answer:

1- Add 15 to both sides

2- 3x - 15 = 27

3- Already answered

4- 3x = 42

5-  Divide both sides by 3

    x = 14

Answer:

The correct answer is 24654.29

Step-by-step explanation:

Identify the values of each variable in the formulas. Remember to express the percent as a decimal.

For quarterly compounding, n=4. There are 4 quarters in a year.

Substitute the values in the formula.

A=15,000(1+0.054)4⋅10

Compute the amount. Be careful to consider the order of operations as you enter the expression into your calculator.

A=$24,654.29

Answer:

[tex]\frac{x-4}{(x+3)(x-5)}[/tex]

Step-by-step explanation:

Since the rational function has vertical asymptotes at -3, and 5, the denominator must equal 0 when x is -3 or 5. Therefore, the denominator must be:

(x+3)(x-5)

Now, to make the x-intercept at (4, 0), the numerator must be equal to 0 when x is 4. Therefore, the numerator must be:

x-4

Therefore, that rational function is:

[tex]\frac{x-4}{(x+3)(x-5_}[/tex]

Answer:

Total interest paid:

$83.73

Total payments:

$333.73

Answer:

10

Step-by-step explanation:

At first, (goh)(x)= g{h(x)}

= g{2x-2}

={2x-2}^2 +3x

[tex] = 4 {x}^{2} - 8x + 4 + 3x \\ = 4 {x}^{2} - 5x + 4 \\ then \: \:(goh)(2) = 4 \times {2}^{2} - 5 \times 2 + 4 \\ = 16 - 10 + 4 \\ = 10[/tex]

hope u got it.....

Answer:

5a+2b

Step-by-step explanation:

4a + 5b – 3b + a

Combine like terms

4a +a  + 5b-3b

5a+2b

Given:

This table shows the ratio of apples to oranges.

Apples      Oranges

   6                 10

   9                 15

  12                  ?

To find:

The missing value in the table of equivalent ratios.

Solution:

Let the missing value be x.

The ratios of apple and oranges are equivalent. So,

[tex]\dfrac{6}{10}=\dfrac{9}{15}=\dfrac{12}{x}[/tex]

[tex]\dfrac{3}{5}=\dfrac{3}{5}=\dfrac{12}{x}[/tex]

[tex]\dfrac{3}{5}=\dfrac{12}{x}[/tex]

On cross multiplication, we get

[tex]3\times x=12\times 5[/tex]

[tex]3x=60[/tex]

Divide both sides by 3.

[tex]x=20[/tex]

Therefore, the missing value is 20.

Answer:

20

Step-by-step explanation:

hope it helps

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

The expected amount to be lost is  0.5263 cents per game

b

The expected amount to be lost is  

     [tex]P = \$ 526 .3 [/tex]

Step-by-step explanation:

From the question we are told that

   The probability of winning is  [tex]p = \frac{1}{38} = 0.0263[/tex]

Generally the probability of losing is mathematically evaluated as

            [tex]q =  1-p [/tex]

=>        [tex]q = 1-0.0263 [/tex]

=>        [tex]q = 0.9737[/tex]

Generally the expected value is mathematically represented as

      [tex]E(X) =  \sum x_i *  P(x_i)[/tex]

Here [tex]x_i[/tex] is a discrete variable (i.e it is a countable )  are outcomes of the player winning and the player losing

So

     [tex]E(X) =   x_1 *  P(x_1) + x_2 *  P(x_2)  [/tex]

Now the outcome of winning is  making $350  so

       [tex]x_1 = \$ 350[/tex]

        the outcome of losing is losing $10  so  

        [tex]x_2 = - \$10[/tex]

So

     [tex]E(X) =  350* 0.0263 -10 *  0.9737  [/tex]

       [tex]E(X) = -0.5263 [/tex]

hence the expected amount to be lost is  0.5263 cents per game

If you played the game 1000​ times, the amount that is expected to be lost is  

    [tex]P =  1000 * -0.5263[/tex]

=> [tex]P = -\$ 526 .3 [/tex]

Hence the expected amount to be lost is  

     [tex]P = \$ 526 .3 [/tex]

Answer:

y=-1/10 x - 41/10

Step-by-step explanation:

slope: y2-y1 / x2-x1 = -5-(-4) /  9-(-1) = -1/10

y= -1/10 x +b, substitute (-1,-4) to solve b

-4=-1/10 (-1) +b

b=-41/10

Answer:

Step-by-step explanation:

Let the initial number of marbles be x

Then added 3 and got 9 as final number

Equation for this and solution

Step-by-step explanation:

Let the smaller number be x.

So, according to Question,

the larger number will be 1+4x.

Now, sum of the numbers is 61, like this:-

[tex]1 + 4x + x = 61[/tex]

[tex]5x = 61 - 1[/tex]

[tex]5x = 60[/tex]

[tex]\tt{x = \dfrac{60}{5}}[/tex]

[tex]\boxed{\tt{x = 12}}[/tex] is the required Answer.

Hope it helps :)

Answer: Cool

Step-by-step explanation:

Greg is working on a school project

Answer:

noice

Step-by-step explanation:

Answer:

1. y² = 169

taking a square root of both sides

y = √169

we know that 13 * 13 = 169

since when squaring a number, the signs on the numbers do not matter

(i.e - 2* 2 = 4 and (-2)*(-2) = 4)

So (-13) * (-13) = 169 as well

Hence we can say that √169 = ±13      OR      √169 = +13   and   -13

2. Volume of a cube-shaped crate = side*side*side

Volume = side³

(We are given that volume = 27)

27 = side³

side = ∛27

Since 3*3*3 = 27     and (-3)*(-3)*(-3) = 27

So, we can say that ∛27  = ± 3

BUT

the side of a crate cannot be negative, so the side will NOT be -3 and hence,

side = 3

3. b³ = 1000

we know that 10*10*10 = 1000    and     (-10)*(-10)*(-10) = 1000

So, ∛1000 =  ∛(10*10*10)= ±10

4. Area of a square(Patio)  = Side²

Area = Side²

196 = Side² (Since we are given the area of the patio)

Side = √196 = √(14*14) or √(-14*-14)

Hence,

Side = + 14 or -14

but the side of a patio cannot be negative

Side = +14 ft

Answer:

34 quarters.

6 nickles.

Step-by-step explanation:

Answer:

−5m² + 7m + 8

Explanation:

−m² + 6 − 4m² + 7m + 2

= −m² + 6 + −4m² + 7m + 2

[ Combine Like Terms ]

= −m² + 6 + −4m² + 7m + 2

= ( −m² + −4m²) + (7m) + (6 + 2)

= −5m² + 7m + 8

Given parameters:

Equation of the line is y = -[tex]\frac{1}{2} x[/tex] + 8

Unknown:

Slope of line parallel to this line = ?

Slope of line perpendicular = ?

Solution:

A line parallel to this line will have the same slope with it.

A line perpendicular will have the negative inverse of this slope;

Slope of line  = - [tex]\frac{1}{2}[/tex]

Slope of line parallel to this line = [tex]-\frac{1}{2}[/tex]

Slope of line perpendicular = negative inverse = -( -([tex]\frac{1}{\frac{1}{2} }[/tex]))   = 2

So, the slope of line parallel to this line is - 1/2 and that perpendicular is 2

Answer:

a)The average salary, then, for accountants in Canada is $2352

b) The standard deviation of the salary, then, for accountants in Portugal is $388.2

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where:

x is the raw score

μ is the population mean

σ is the population standard deviation.

a) Suppose you are told that an accountant in Canada who makes $2,646.00 has a z-score of +0.50 relative to other accountants in Canada and that the standard deviation of the salary of accountants in Canada is $588.00. The average salary, then, for accountants in Canada is _____.

z = (x-μ)/σ

z = 0.50, x =$2,646.00 μ = ?? σ = $588

Hence,

0.50 = 2,646 - μ/588

0.50 × 588 = 2,646 - μ

294 = 2,646 - μ

μ = 2,646 - 294

μ = $2352

Therefore, the average salary, then, for accountants in Canada is $2352

b) Suppose you are also told that an accountant in Portugal who makes $2, 329.40 has a z-score of +2.00 relative to other accountants in Portugal and that the mean of the salary of accountants in Portugal is $1, 553. The standard deviation of the salary, then, for accountants in Portugal is _____ .

z = (x-μ)/σ

z = 2, x = $2,329.40 μ =$1,553 σ = ?

2 = ($2,329.40 - $1,553)/σ

2σ = $2,329.40 - $1,553

σ = $2,329.40 - $1,553/2

σ = $776.4 /2

σ = $388.2

Therefore, the standard deviation of the salary, then, for accountants in Portugal is $388.2