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Mathematics

1 answer:

bazaltina [42]3 years ago

7 0

the answer is C. move the decimal place to the left 4 times since it is positive to the 4th power

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Becca has saved 25% of the money that she needs to buy a new tennis racket. If she has saved $21 jow much money does the tennis

nexus9112 [7]

Let x be the entire portion of the money Becca needs to save to buy a new tennis racket.

So, 0.25x=$21

x=$21/0.25
x=$84

Thus, the total amount she needs to save is $84. Now, we'll deduct 25 from 84 to get the 75 percent or the remaining amount she has to save.

$84-$21=$63

The answer is $63.

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3 years ago

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Ellla and some friends are going to a movie. Each movie ticket cost 5 dollars. Create an a equation that shows the relationship

ra1l [238]

Answer:

5n=c

Step-by-step explanation:

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3 years ago

A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 31 ft/s. (a) A

julsineya [31]

Answer:

a) -13.9 ft/s

b) 13.9 ft/s

Step-by-step explanation:

a) The rate of his distance from the second base when he is halfway to first base can be found by differentiating the following Pythagorean theorem equation respect t:

$D^{2} = (90 - x)^{2} + 90^{2}$ (1)

$\frac{d(D^{2})}{dt} = \frac{d(90 - x)^{2} + 90^{2})}{dt}$

$2D\frac{d(D)}{dt} = \frac{d((90 - x)^{2})}{dt}$

$D\frac{d(D)}{dt} = -(90 - x) \frac{dx}{dt}$ (2)

Since:

$D = \sqrt{(90 -x)^{2} + 90^{2}}$

When x = 45 (the batter is halfway to first base), D is:

$D = \sqrt{(90 - 45)^{2} + 90^{2}} = 100. 62$

Now, by introducing D = 100.62, x = 45 and dx/dt = 31 into equation (2) we have:

$100.62 \frac{d(D)}{dt} = -(90 - 45)*31$

$\frac{d(D)}{dt} = -\frac{(90 - 45)*31}{100.62} = -13.9 ft/s$

Hence, the rate of his distance from second base decreasing when he is halfway to first base is -13.9 ft/s.

b) The rate of his distance from third base increasing at the same moment is given by differentiating the folowing Pythagorean theorem equation respect t:

$D^{2} = 90^{2} + x^{2}$