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VashaNatasha [74]
3 years ago
15

A ship leaves port and heads due east at a rate of 56 miles per hour. Ever since the ship left port, it has been pushed south by

a strong constant wind. Four hours after leaving port, the ship is 280 miles away. What is the effective push on the ship from the wind?
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
7 0
(56+v)*4=280 (mph)
224+4v=280
4v=280-224
4v=56
v=56:4
v=14 (mph)
Answer: 14 mph
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azamat

Answer:

From the given graph above

No

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2 years ago
An electronics store is deciding how to price one of its products. The equation P=-25d^2+500d predicts the total profit P as a f
mrs_skeptik [129]
1. The function calculating the profit in terms of the price in dollars d, is the quadratic function P(d)=- 25d^{2}+500d, whose graph is a concave parabola, that is a parabola which opens downwards, because the coefficent of d^{2} is negative. 

2. The function P takes its maximum value at the vertex, so we want to find the x coordinate of the vertex. 

3. P(d)=- 25d^{2}+500d=-25d(d-20) is the factorized form of the function P, which clearly gives the roots (solutions) 0 and 20 of P(d)=0, which are the x intercepts of the parabola. 

4. The axis of symmetry, which contains the vertex, is the vertical line passing through the point equidistant to 0 and 20, that is 10.

5. Remark : The vertex is (10, P(10))=(10, -25*10(10-20))=(10, 2500)

So for price d=10 dollars, the (expected) Profit is 2500 dollars.

6. Remark 2. The x coordinate is also found by the formula -b/2a, where b is the coefficient of the linear term, and a the coefficient of the quadratic term of a quadratic expression. So in our case -b/2a=-500/2(-25)=-500/-50=10
6 0
3 years ago
Calculate the sum of the infinite series
Rina8888 [55]

Answer:

S_\infty=250.

Step-by-step explanation:

The given infinite series is  50+40+32+\frac{128}{5}+....


The first term of this series is a_1=50.


The common ratio is r=\frac{40}{50}.

\Rightarrow r=\frac{4}{5}.


The sum of this infinite series is given by the formula,


S_\infty=\frac{a_1}{1-r}


We now substitute all the above values in to this formula obtain,


S_\infty=\frac{50}{1-\frac{4}{5}}


This implies that,

S_\infty=\frac{50}{\frac{1}{5}}


This simplifies to,


S_\infty=50\times 5


S_\infty=250.


The correct answer is C.





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