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Leokris [45]
3 years ago
15

The table shows the distance in feet, y, that a rocket traveled in x seconds.

Mathematics
2 answers:
Murrr4er [49]3 years ago
7 0

Answer:

The correct option is D. y = 25x^{2}.

Step-by-step explanation:

i) From the table and our own observation and a trial and error approach we

  can clearly see that the equation that matches y in feet ( the distance

  traveled by the rocket) and x in seconds ( the time elapsed) is given by the

  equation y = 25x^{2}

 Therefore the correct option is D. y = 25x^{2}.

brilliants [131]3 years ago
4 0

Answer:

The correct option is D. y = 25.

Step-by-step explanation:

i) From the table and our own observation and a trial and error approach we

 can clearly see that the equation that matches y in feet ( the distance

 traveled by the rocket) and x in seconds ( the time elapsed) is given by the

 equation y = 25

 Therefore the correct option is D. y = 25.

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A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric f
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Step-by-step explanation:

Let x be the length and y be the width of the rectangular plot.

The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,

x+2y = 1500

x = 1500 - 2y ....(1)

We know that the area of a rectangular plot is given by :

A = xy ....(2)

Put the value of x from equation (1) in (2)

A=(1500-2y)y\\\\A=1500y-2y^2 .....(3)

For largest area, differentiate above area equation wrt y.

\dfrac{dA}{dy}=\dfrac{d}{dy}(1500y-2y^2)\\\\=1500-4y\\\\\text{Put}\ \dfrac{dA}{dy}=0\\\\1500-4y=0\\\\y=\dfrac{1500}{4}\\\\=375

Put the value of y in equation (1).

x = 1500-2(375)

= 750 m

Put the value of y in equation (3).

A =1500(375)-2(375)^2\\A=281250\ m^2

Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.

3 0
3 years ago
Answer 3(x-4)=2(-2x+1). Explain
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Answer:

65

Step-by-step explanation:

6 0
3 years ago
Cho hàm số f(x,y)= x +√(1+x^2+y^2). Tính f'(x,y)=?
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What is the domain of the following function represented by ordered pairs?
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2 years ago
Orwell building supplies' last dividend was $1.75. Its dividend growth rate is expected to be constant at 38.00% for 2 years, af
WITCHER [35]

Answer:

Estimated current stock price is $46.84

Step-by-step explanation:

First we have to find the value of dividend payment t_1, t_2 \& t_3

Given D_0=$1.75

Yearly growth rate for next 2 years( g_1 )=38.00%

D_1=\$1.75\times 1.38=\$2.42

D_2=\$2.42\times1.38=\$3.34

Growth after two years will 6% indefinitely

g_2=6\%=\dfrac{6}{100}=0.06

D_3=\$3.34\times1.06=\$3.54

Estimate of current stock price is

=\dfrac{D_1}{(1+r)}+\dfrac{D_2}{(1+r)^{2}}+\dfrac{\dfrac{D_3}{(r-g_2)}}{(1-r)^{3}}

=\dfrac{\$2.42}{(1.12)}+\dfrac{\$3.34}{(1.12)^{2}}+\dfrac{\dfrac{\$3.54}{(0.12-0.06)}}{(1.12)^{3}}

=$46.84

Estimate of current stock price is =$46.84

3 0
2 years ago
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