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3 years ago

a machine can fill 650 bottles in 25 minutes. What is the unit rate at which the machine fills the bottles?

1 answer:

8 0

$unit\ rate=\frac{amount\ of\ bottle}{time}\\\\
unit\ rate=\frac{650}{25}=26\frac{bottle}{min}\\\\Unit\ rate\ is\ 26\ bottle\ per\ minute.$

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One day at 3:00 a.m., the temperture was -13 degrees F in Kodiak ,Alaska. At 10:00 a.m. the temperature was 22 degrees F. what w

Ksju [112]

The average change in temperature is +5 degrees every 1 hour.

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3 years ago

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Valerie's work deriving the distance formula for length d is shown.

Umnica [9.8K]

Step-by-step explanation:

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1 year ago

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Which set of data is correct for the quadratic relation f(x) = 5(x -

Burka [1]

Answer:

Direction parabola opens upward.

Vertex of parabola is (27,-9).

Axis of symmetry is $x=27$ .

Step-by-step explanation:

Note: Option sets are not correct.

The vertex form of a parabola is

$y=a(x-h)^2+k$ ...(1)

where, (h,k) is vertex and x=h is the axis of symmetry.

If a<0, then parabola opens downward and if a>0, then parabola opens upward.

The given function is

$f(x)=5(x-27)^2-9$ ...(2)

On comparing (1) and (2), we get

$a=5>0$ , so direction parabola opens upward.

$h=27,k=-9$ , so vertex of parabola is (27,-9).

So, axis of symmetry is $x=27$ .

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3 years ago

Which of the following can be modeled with an exponential function? Select all that apply.

bogdanovich [222]

Answer: The answers are

(ii) The cost to attend Universal Studios increases by 1% each year,

(iii) An endangered species population is decreasing by 12% each year,

(iv) The population of a town that is growing by 5% each year.

Step-by-step explanation: We are given five functions and we are to select those which can be modelled with an exponential function.

(i) Here, height is varying with respect to time, so it will be a linear function.

(ii) Here, the cost to attend Universal Studios is increasing by 1% every year, so this will be an exponential function.

(iii) Here, an endangered species population is decreasing by 12% each year.

So, this will also be an exponential function.

(iv) Since we are considering the distance travelled by the bicycle at a constant speed of 25 mph, so this will be a linear function.

(v) Here also the population is growing by 5% each year. So, the function will be exponential.

Thus, the correct answer is second, third and fifth.

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3 years ago

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9/10 - 1/2 can you help

Lubov Fominskaja [6]

Answer:

4/10 or 2/5

Step-by-step explanation:

9/10-1/2 = 9/10-5/10 = 4/10 = 2/5

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2 years ago

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