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WARRIOR [948]
3 years ago
7

The 250 gallons of maple sap will be

Mathematics
1 answer:
Darya [45]3 years ago
8 0

Answer:

7.5 gallons

Step-by-step explanation:

3 x 250/100

= 7.5

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Alec mixes a juice solution that is made from 3 gallons of an 80% juice solution and 1 gallon of a 20% juice solution. What is t
solniwko [45]

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i tink 88 percent

5 0
3 years ago
An elementary school is in a growing suburb. The schools principal estimates that the current enrollment of 750 students will in
Murrr4er [49]

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Step-by-step explanatio2+2 21n:

7 0
3 years ago
For the arithmetic sequence 42, 32, 22, 12... find the 18th term.
Stella [2.4K]

Answer:

The18th term of the given sequence is -128

Explanation:

To find the 18th term of the sequence:

42, 32, 22, 12, ..., we need to find the nth term of the sequence first.

The nth term of a sequence is given be the formula:

T_n=a+(n-1)d

Where a is the first term, and d is the common difference.

Here, a = 42, d = 32 - 42 = -10

\begin{gathered} T_n=42+(n-1)(-10) \\ =42-10n+10 \\ T_n=52-10n \end{gathered}

To find the 18th terem, substitute n = 18 into the nth term

\begin{gathered} T_{18}=52-10(18) \\ =52-180 \\ =-128 \end{gathered}

7 0
1 year ago
Review the table.
Lynna [10]

Answer:

The function that models the scenario is given as follows;

P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}}

Step-by-step explanation:

The table of values are presented as follows;

The number of days, t, since the rumor started: 0, 1, 2, 3, 4, 5

The number of people, P, hearing the rumor: 10, 16, 26, 42, 66, 100

Imputing the given functions from the options into Microsoft Excel, and

A = P(t) = \dfrac{250}{1 + 24 \cdot e^{-0.5 \cdot t}}

B = P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}}

C = P(t) = \dfrac{750}{1 + 74 \cdot e^{-0.5 \cdot t}}

D = P(t) = \dfrac{1000}{1 + 99 \cdot e^{-0.5 \cdot t}}

solving using the given values of the variable, t, we have;

P                t               A                 B       {}             C                      D

10        {}      0        {}     10        {}         10        {}          10        {}             10

16        {}      1        {}      16.07021       16.27604      16.34583        {} 16.38095

26        {}     2        {}     25.43466      26.2797       26.574             26.72363

42        {}     3        {}     39.33834      41.89929      42.82868         43.30901

66        {}     4        {}     58.85058      65.51853      68.09014         69.45316

100        {}   5        {}     84.17395        99.55866    106.0177          109.5721

Therefore, by comparison, the function represented by B = P(t) = \dfrac{500}{1 + 49 \cdot e^{-0.5 \cdot t}} most accurately models the scenario.

7 0
3 years ago
Read 2 more answers
The price p, in dollars, of a specific ca that is x year old is modeled by the function p(x)=22,255(0.91)^x
uysha [10]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The price p, in dollars, of a specific car that is x year old is modeled by the function p(x)=22,255(0.91)^x

a) to determine the cost of a 2 year old car, we will substitute 2 for x in the given function. Therefore

p(2)=22,255(0.91)^2

p(2)=22,255 × 0.8281 = $18673.655

Approximately $18674

b) to determine the cost of a 7 year old car, we will substitute 7 for x in the given function. Therefore

p(7)=22,255(0.91)^7

p(2)=22,255 × 0.51676101936 = 11500.51648579693

Approximately $11501

c) 0.91 indicates exponential decay rate. It is a fixed percentage by which the value of the car decreases every year. It is determined by (1 - rate of decay)

7 0
3 years ago
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