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MrRissso
9 days ago
10

A hot air balloon descends to the ground. The function a(t) = 210 – 15t can be used to describe the altitude of the balloon as i

t approaches the ground. The time is in minutes.
What does t represent?
altitude of the balloontime after the balloon begins to descendtime it takes the balloon to reach the ground

What does a(t) represent?
altitude of the balloontime after the balloon begins to descendtime it takes the balloon to reach the ground

What information will a(5.5) give?
time it takes the balloon to reach an altitude of 5.5 feetaltitude of the balloon after 5.5 minutestime it will take the balloon to reach the ground, or 5.5 minutes
Mathematics
2 answers:
Inessa [9K]9 days ago
8 0

Answer:

drop down 1: duration until the balloon touches down

drop down 2: Balloon altitude

drop down 3: Height of the balloon after 5.5 minutes

babunello [8.4K]9 days ago
6 0

As time progresses, the balloon descends closer to the ground, indicating that altitude is contingent on the passage of time. The variable t can be utilized to forecast the altitude, paralleling how it represents the time elapsed, thus t signifies time itself.

Previously mentioned was the ability to anticipate height based on time. The equations possess only two unknowns: elapsed time and height. Since time is depicted as "t," we can deduce that a(t) reflects the height at any given moment. Picture a(t) as the y-coordinate and t as the x-coordinate. To find y, we first need to identify x, much like needing a specific t-value (time) to ascertain height at that moment. Hence, the notation a(t) indicates the balloon's altitude.

We know a(t) indicates altitude over time. a(5.5) pertains to the balloon's altitude at a precise moment, specifically 5.5 minutes.

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I=$720, P=$1000, r=9%<br> Find the amount of the time.
Leona [9271]
I = PRT....seeking T...rearrange......I / PR = T

I / PR = T
I = 720
P = 1000
R = 9% = 0.09
substituting values
720 / (1000)(0.09) = T
720 / 90 = T
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22 days ago
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Simplify the given expression, using only positive exponents. Then complete the statements that follow. [ (x2y3)−1 (x−2y2z)2 ] 2
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Answer: y²z⁴ / x¹²

  • The exponent for x is 12

  • The exponent for y is 2

  • The exponent for z is 4

Explanation:

1) The expression to simplify:

((x^2y^3)^{-1}(x^{-2}y^2z)^2)^2

2) Rule: power of a power:

(x^{-4}y^{-6})(x^{-8}y^8z^4)

3) Rule: product of powers with identical bases

x^{(-2-8)}y^{(-6+8)}z^4

4) Add up the exponents

x^{-12}y^2z^4

5) Transfer the negative exponent to the denominator:

\frac{y^2z^4}{x^{12}}

The exponent attached to x is 12, for y it is 2, and for z it is 4.

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Which expressions are equivalent to RootIndex 3 StartRoot 128 EndRoot Superscript x? Select three correct answers.
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Answer:

- 128 Superscript StartFraction 3 Over x EndFraction

- (4RootIndex 3 StartRoot 2 EndRoot)x

- (4 (2 Superscript one-third Baseline) ) Superscript x

Step-by-step explanation:

Considerando la ecuación dada (\sqrt[3]{128} )^{x}\\

De acuerdo con una de las leyes de índices,

(\sqrt[a]{m} )^{b}\\= (\sqrt{m})^\frac{b}{a}

Aplicando esta ley a la pregunta;

(\sqrt[3]{128} )^{x}\\ = {128} ^\frac{x}{3}\\ \\= (\sqrt[3]{64*2})^{x} \\ = (4\sqrt[3]{2})^{x} \\= (4(2^{1/3} )^{x} )

<pLos siguientes son ciertos de acuerdo con el cálculo presentado

128 Superscript StartFraction 3 Over x EndFraction

(4RootIndex 3 StartRoot 2 EndRoot)x

(4 (2 Superscript one-third Baseline) ) Superscript x

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Myrtle has a credit card that uses the average daily balance method. For the first 21 days of one of her billing cycles, her bal
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Answer:

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10 times as many as blank hundreds or 60 hundreds is blank thousands
Svet_ta [9500]

The result of multiplying 10 by 6 hundreds equals 60 hundreds, which can also be expressed as 6 thousands.

Explanation

This can be simplified as follows:

  • 10 times a given quantity of _____ hundreds results in 60 hundreds
  • 60 hundreds convert to _____ thousands

We will divide this into two segments:

\boxed{ \ 10 \times (N \times 100) = 60 \times 100 \ }... Equation-1

\boxed{ \ 60 \times 100) = M \times 1,000 \ }... Equation-2

This straightforward multiplication relates to the place value system. We need to perform calculations to find the values of N and M.

Initially, let's focus on Equation-1.

We will move the variable M to one side of the equation in order to isolate it and solve for its value.

\boxed{ \ 10 \times (N \times 100) = 60 \times 100 \ }

\boxed{ \ 1,000 \times N = 6,000 \ }

Both parts will be divided by 1,000, essentially being multiplied by \frac{1}{1,000}.

\boxed{ \ \frac{1}{1,000} \times 1,000 \times N = \frac{1}{1,000} \times 6,000 \ }

Thus, we conclude with \boxed{\boxed{ \ N = 6 \ }}

Next, we process Equation-2 to derive M's value.

\boxed{ \ 60 \times 100) = M \times 1,000 \ }

\boxed{ \ 6,000 = M \times 1,000 \ }

Rearranging this equation to place M on the left side appears as follows:

\boxed{ \ M \times 1,000 = 6,000 \ }

Again, both sides undergo division by 1,000, which translates to multiplication by \frac{1}{1,000}..

\boxed{ \ \frac{1}{1,000} \times M \times 1,000 = \frac{1}{1,000} \times 6,000 \ }

This results in \boxed{\boxed{ \ M = 6 \ }}

- - - - - - -

Alternative approach for the second step:

60 hundreds equals to __ thousands

\boxed{ \ 6 \times 10 \ hundreds = \ M \ thousands} \ }

\boxed{ \ 6 \times thousands = \ M \ thousands} \ }

\boxed{\boxed{ \ M = 6 \ }}

Additional resources

  1. A more detailed version of this topic
  2. 2 thousands 7 tens divided by 10 equals what?
  3. 100 is equivalent to 1/10 of which number?

Keywords: 10 times as many as, blank, hundreds, 60 hundreds, or, thousands, isolate, operations, multiply, divide, fraction, both sides, equal, the opposite, both sides are multiplied by, divided by, rearrange

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1 month ago
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