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2 years ago

Which expression is equivalent to X^-5/3

Mathematics

1 answer:

dolphi86 [110]2 years ago

8 0

Answer:

-(5-3) is the answer bcoz - make 5 negative and 3 positive

Step-by-step explanation:

I hope this will help you

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A car rental company charges rs 500 a day

Montano1993 [528]

Answer:

total bill=1644

let he drives x kilometer

then

500*2+8*x=1644

1000+8x=1644

8x= 1644-1000

8x= 644

x= 644/8=80.5 km

Step-by-step explanation:

8 0

2 years ago

Which statement is true regarding the graphed functions?

Zigmanuir [339]

Answer:

the answer to your question is f(2)=0 and g(-2)=0

4 0

2 years ago

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The students in Mr. Wilson's Physics class are making golf ball catapults. The

Mnenie [13.5K]

Answer:

Part a) About 48.6 feet

Part b) About 8.3 feet

Part c) The domain is $0 \leq x \leq 48.6\ ft$ and the range is $0 \leq y \leq 8.3\ ft$

Step-by-step explanation:

we have

$y=-0.014x^{2} +0.68x$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

where

x is the ball's distance from the catapult in feet

y is the flight of the balls in feet

Part a) How far did the ball fly?

Find the x-intercepts or the roots of the quadratic equation

Remember that

The x-intercept is the value of x when the value of y is equal to zero

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-0.014x^{2} +0.68x=0$

$a=-0.014\\b=0.68\\c=0$

substitute in the formula

$x=\frac{-0.68(+/-)\sqrt{0.68^{2}-4(-0.014)(0)}} {2(-0.014)}$

$x=\frac{-0.68(+/-)0.68} {(-0.028)}$

$x=\frac{-0.68(+)0.68} {(-0.028)}=0$

$x=\frac{-0.68(-)0.68} {(-0.028)}=48.6\ ft$

therefore

The ball flew about 48.6 feet

Part b) How high above the ground did the ball fly?

Find the maximum (vertex)

$y=-0.014x^{2} +0.68x$

Find out the derivative and equate to zero

$0=-0.028x +0.68$

Solve for x

$0.028x=0.68$

$x=24.3$

Alternative method

To determine the x-coordinate of the vertex, find out the midpoint between the x-intercepts

$x=(0+48.6)/2=24.3\ ft$

To determine the y-coordinate of the vertex substitute the value of x in the quadratic equation and solve for y

$y=-0.014(24.3)^{2} +0.68(24.3)$

$y=8.3\ ft$

the vertex is the point (24.3,8.3)

therefore

The ball flew above the ground about 8.3 feet

Part c) What is a reasonable domain and range for this function?

we know that

A reasonable domain is the distance between the two x-intercepts

$0 \leq x \leq 48.6\ ft$

All real numbers greater than or equal to 0 feet and less than or equal to 48.6 feet

A reasonable range is all real numbers greater than or equal to zero and less than or equal to the y-coordinate of the vertex

we have the interval -----> [0,8.3]

$0 \leq y \leq 8.3\ ft$

All real numbers greater than or equal to 0 feet and less than or equal to 8.3 feet

8 0

2 years ago

PLEASE ANSWER What is the area of the parallelogram? 13.4 in 7.5 in

Firlakuza [10]

Answer:

area = 100.5 in²

Step-by-step explanation:

area = 13.4 x 7.5 = 100.5 in²

8 0

2 years ago

I dont know who needs to hear this but if u are going through a tough time right now,it will all get better. remember the strong

Studentka2010 [4]

Answer:

Thank youuu. i needed this. i haven't been doing too good lately because of school and my dad and everything. i really needed to hear this. thank you

Step-by-step explanation:

3 0

2 years ago

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