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zlopas [31]
3 years ago
15

a boat is going 144 miles upstream on a river. the speed of the boat in still water is 60 miles per hour. the speed of the river

current is 80% less than the speed of the boat in still water. how long does the journey take?( in hours)
Mathematics
1 answer:
Katena32 [7]3 years ago
5 0

Answer:

Let  b  =  rate of the boat.

Let  r  =  rate of the river.

The rate going downstream is  b + r.

The rate going upstream is  b - r.

rate x time  =  distance

4(b + r)  =  144     --->     b + r  =  36     [divide both sides by 4]

9(b - r)  =  144      --->     b - r  =  16      [divide both sides by 9]

Add town:                          2b  =  52  

Divide by :                           b  =  26  mi/hr

                                           r  =  10  mi/hr

Step-by-step explanation:

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Cubed root x cubed root x2​
Yuki888 [10]

Answer:

Final answer is \sqrt[3]{x^1}\cdot\sqrt[3]{x^2}=x.

Step-by-step explanation:

Given problem is \sqrt[3]{x}\cdot\sqrt[3]{x^2}.

Now we need to simplify this problem.

\sqrt[3]{x}\cdot\sqrt[3]{x^2}

\sqrt[3]{x^1}\cdot\sqrt[3]{x^2}

Apply formula

\sqrt[n]{x^p}\cdot\sqrt[n]{x^q}=\sqrt[n]{x^{p+q}}

so we get:

\sqrt[3]{x^1}\cdot\sqrt[3]{x^2}=\sqrt[3]{x^{1+2}}

\sqrt[3]{x^1}\cdot\sqrt[3]{x^2}=\sqrt[3]{x^{3}}

\sqrt[3]{x^1}\cdot\sqrt[3]{x^2}=x

Hence final answer is \sqrt[3]{x^1}\cdot\sqrt[3]{x^2}=x.

7 0
3 years ago
Which number is irrational?
lisov135 [29]

Answer:

C.

Step-by-step explanation:

The answer C is not rational

6 0
3 years ago
Read 2 more answers
If f(x) = 4(3x - 5), find f^-1(x)
Sloan [31]

Answer:

The answer is A.

Step-by-step explanation:

Lets call f(x)=y, so y= 4*(3*x-5), we want to find 'x', using 'y' as a the variable.

y=12x-20\\ y+20=12x\\ x=\frac{y+20}{12}

Now lets change the name of 'y' to 'x', and 'x' to f^-1(x).

f-1(x) = (x+20)/12

3 0
3 years ago
Which function is increasing?? :)
exis [7]

Answer:

\large\boxed{B.\ f(x)=4^x}

Step-by-step explanation:

Exponential function f(x)=(a)^x is

increasing if a > 1\to a\in(1,\ \infty)

decreasing if 0 < a < 1\to a\in(0,\ 1)

A.\ f(x)=\left(\dfrac{1}{4}\right)^x\to a=\dfrac{1}{4}\in(0,\ 1)\to\text{decreasing}\\\\B.\ f(x)=4^x\to a=4\in(1,\ \infty)\to\text{increasing}\\\\C.\ f(x)=(0.4)^x\to a=0.4\in(0,\ 1)\to\text{decreasing}\\\\D.\ f(x)=\left(\dfrac{1}{2}\right)^x\to a=\dfrac{1}{2}\in(0,\ 1)\to\text{decreasing}

7 0
3 years ago
A coffee supply store waits until the orders for its special coffee blend reach 100 pounds before making up a batch. Coffee sell
Daniel [21]
Let x represent the number of pounds of $10.75/lb coffee used in the mix.
.. 10.75x +3.25(100 -x) = 5.65*100 . . . . . . total cost of coffee blend
.. x(10.75 -3.25) = 100*(5.65 -3.25) . . . . . .separate x-terms from non-x terms
.. x = 240/7.5 = 32

32 pounds of $10.75/lb coffee should be used
68 pounds of $3.25/lb coffee should be used
7 0
3 years ago
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