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3 years ago

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ANSWER FAST PLEASE Alyssa read 25 pages of a new book the first day she bought it. After the first day , she read 5 pages a day

. If the book was 250 pages , which equation can be used to determine how many days it will talk Alyssa to finish her book?

1 answer:

lara [203]3 years ago

7 0

Answer:

10 days

Step-by-step explanation:

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14) If Tony HAS 5 pair of PANTS, 4 SHIRTS, BELTS AND

solniwko [45]

He can make at-least 240

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3 years ago

Water flows into a tank according to the rate F of t equals the quotient of 6 plus t and the quantity 1 plus t, and at the same

diamong [38]

Answer:

Step-by-step explanation:

The complete question is

Water flows into a tank according to the rate F(t)= (t+6)/(1+t), and at the same time empties out at the rate E(t)= (ln(t+2))/(t+1), with both F(t) and E(t) measured in gallons per minute. How much water, to the nearest galllon, is in the tank at time t=10 minutes.

Let C(t) be the amount of water in the tank at time t. We now that the rate of change of the tank is given by

$\frac{dC}{dt}=[\tex]rate at which water flows in- rate at which water flows out. Then [tex]\frac{dC}{dt}=\frac{t+6}{t+1}-\frac{\ln(t+2)}{(t+1)}[\tex]so, the desired expression is obtained by integrating with respect to t. This leads us to [tex]C(t) = \int \frac{t+1}{t+1}+ \frac{5}{t+1} - \frac{\ln(t+2)}{(t+1)} dt=t+ 5 \ln (|t+1|)-\int \frac{\ln(t+2)}{(t+1)} dt +C$

Unfortunately, the integral $\int \frac{\ln(t+2)}{(t+1)} dt$ cannot be expressed using fundamental functions. So, the problem cannot have an specific function (if you are willing to know the complete answer, the integral of this function uses the polylogarithm function with n=2).

Since you want the exact amount of water at time, you need to give C a value, that is, you need to know an initial condition for the problem. This means, you need to know the amount of water in the tank at time 0

8 0

3 years ago

Two friends, Damian and Nicole, took summer jobs. The equation y = 15.52

Sindrei [870]

Answer:

sorry

Step-by-step explanation:

5 0

2 years ago

Which equation represents the line that passes through (–6, 7) and (–3, 6)?

ipn [44]

Answer:

$y = \frac{-x}{3} + 5$

Step-by-step explanation:

Given A (x₁, y₁) = ( -6, 7) and B (x₂, y₂) = (-3, 6)

Slope of line passing through points ( -6, 7) and (-3, 6) is:

m = $\frac{y_{2} -y_{1}}{x_{2} -x_{1}} =\frac{6 - 7}{-3 + 6} =\frac{-1}{3}$

Now, the equation of line in point-slope form:

(y - y₁) = m (x - x₁)

Substituting the value of m and (x₁, y₁) = ( -6, 7) in above equation,

$(y - 7) = \frac{-1}{3}(x - (-6))$

$(y - 7) = \frac{-1}{3}(x + 6)$

$3y - 21 = -x - 6$

$3y = -x - 6 + 21$

$3y = -x + 15$

$y = \frac{-x + 15}{3}$

$y = \frac{-x}{3} + 5$

Option B is the correct answer.

6 0

3 years ago

Read 2 more answers

If 16 to the power of x is 1/64 . what is x

Anika [276]

Answer:

Step-by-step explanation:

$16^{x}=\frac{1}{64}\\\\(4^{2})^{x}=64^{-1}\\\\(4^{2})^{x}=(4^{3})^{-1}\\\\4^{2x}=4^{-3}\\\\$

Compare the powers now

2x = -3

x = -3/2

6 0

4 years ago