a hotel with 75 rooms has 45 for doubles and 30 singles. singles can be booked in any room, but reservations for two or more people must be booked in double rooms. what inequalities represents this situation?

Step-by-step explanation:

A weather balloon is released and rises vertically such that its distance s (t) above the ground during the first 10 sec of flight is given by :

[tex]s(t)=6+2t+t^2[/tex] ...(1)

(a) We need to find velocity at t = 4 seconds

Differentiate equation (1) wrt t.

[tex]v=\dfrac{ds}{dt}\\\\v=\dfrac{d(6+2t+t^2)}{dt}\\\\v=2+2t[/tex]

At t = 4 seconds,

[tex]v=2+2(4)\\\\=10\ ft/s[/tex]

At t = 4 seconds, the velocity is 10 ft/s.

(b) When the balloon is 50 feet above the ground,

[tex]6+2t+t^2=50[/tex]

We need to find t.

[tex]6+2t+t^2=50\\\\t^2+2t-50+6=0\\\\t^2+2t-44=0[/tex]

It is a quadratic equation,

t = 5.708 and t = -7.708

Neglecting negative time, the instant time is 5.708 seconds.

Answer:

Step-by-step explanation:

55.

The solution is, the function doesn't have a minimum value.

A derivative is described as either the rate of change of a function, or the slope of the tangent line at a particular point on a function.

here, we have,

given that,

the function is,

g(x) = x^2 + 55

now, we have to find the min. value of the function.

so, we have,

g(x) = x^2 + 55

the 1st order derivative is,

g'(x)= 2x

now, we have, critical point, at g'(x)= 0

i.e. at 2x = 0

or, x = 0

so, min. value is at x= 0 of g''(x),

i.e.  g''(x) = 2

so, it doesn't have any minimum value.

Hence, The solution is, the function doesn't have a minimum value.

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Answer:

80 ounces

Step-by-step explanation:

5x16=80

Answer:

€4.20

Step-by-step explanation:

the have a 5 in 26 chance in winning so 26(letters in alphabet) - 5(vowels) =21

21÷5 =4.2

Answer:

Hope this may helps you

The value of ratios (2a - 4b) / (a - 2b) is,

⇒ 2

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

The value is,

⇒ (a + b )/ (a-b) = 5/3

Now, We get;

⇒ a + b = 5

⇒ a - b = 3

Hence, By solving above equation,

a = 4

b = 1

Thus, The value of ratios (2a - 4b) / (a - 2b) is,

⇒ (2a - 4b) / (a - 2b)

⇒ (2 × 4 - 4 × 1) / (4 - 2 × 1)

⇒ (8 - 4) / (4 - 2)

⇒ 4 / 2

⇒ 2

Thus, The value of ratios (2a - 4b) / (a - 2b) is,

⇒ 2

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Answer:

5/6

Step-by-step explanation:

I hope this helps!

Answer:

4

Step-by-step explanation: 2x+5=13

                                                  -5   -5

                                                   2x=8

                                                   /2     /2

                                                      x=4

Answer:

X = 4

Step-by-step explanation:

Subract 5 from 5 and 13

Simplify: 2x = 8

divide both sides of the equation by the same term 2x/2 8/2

which gets you x = 4

Answer:

the answer is 3

Step-by-step explanation:

you piece of garbage im tryna help why u report me

Answer:

Step-29 (86by-step explanation:

Answer:

400.

Step-by-step explanation:

50 doubles to 100 for the 1st week. 100 becomes 200 the 2nd and 400 for the 3rd week.

Answer:

400

Step-by-step explanation:

just did the work

Answer:

a

Step-by-step explanation:

Answer:

Option D: 2926.1 cm³

Step-by-step explanation:

Dimensions of the cylidrincal soup can are given as;

Radius; r = 8.4 cm

height; h = 13.2 cm

Formula for area of cylinder is;

A = πr²h

Plugging in the relevant values gives;

A = π × 8.4² × 13.2

A = 2926.05 cm³

Approximating to the nearest tenth gives;

A = 2926.1 cm³

Answer:

yes 40

Step-by-step explanation:

she got it correct

Answer:

I think you can

Step-by-step explanation:

Answer:

I think you can take it in the next semester

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

4.24

Step-by-step explanation:

By geometric mean property

[tex] {x}^{2} = 6 \times 3 \\ \\ {x}^{2} = 18 \\ \\ x = \pm\sqrt{18} \\ \\ x = \pm 4.24264069 \\ \\ \because \: x \: can \: not \: be \: - ve \\ \\ \therefore \: x = 4.24 \: units \\ [/tex]

Answer:

15 i think 15 or 9 is the answer

Answer:

b d f  i think sorry if this doesnt help but have a great day :)

Step-by-step explanation:

Answer:

I hope this helps!!

Step-by-step explanation:

We have given that : numbers - 9 over 7, 5 over 3, 3 over 2, 6 over 4

To find : which are terminating decimal

Terminating decimals are those whose figures to the right of some place are zero or  have an end.

Solution : we check one by one,

1) 9 over 7 = 9/7 = 1.285714285714285714.... -Non terminating

2) 5 over 3 = 5/3 = 1.666666666666666...... -Non terminating

3) 3 over 2 = 3/2 = 1.5 - Terminating

4) 6 over 4 = 6/4= 3/2 = 1.5 - Terminating

I'm sorry if this is wrong :(

Answer:

c.

Step-by-step explanation:

Answer:It is not C

Step-by-step explanation:

Answer:

Step-by-step explanation:

5000 nonfiction and 2500 fiction

ratio is 5000/2500=2

ratio is 2:1

Answer:

Step-by-step explanation:

85 + 50 + ? = 180

? = 180 - 85 - 50

? = 45

Answer:

1/4x

Step-by-step explanation:

The slope of any graph can be determined with the same formula

Change in Y

Change in X

Fill in the fraction

1

—

4

Thats how you get the slope.

I hope this helps!

pls give brainliest and thanks