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2 years ago

15

In a swimming race, Miho swam the first 50 m in 42 s. She swam the second 50 m in 38 s. What was Miho’s average speed during the

race?

1 answer:

Nat2105 [25]2 years ago

7 0

The answer is d) 0.82 m/s

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During the half time of a basketball game, a sling shot launches T-shirts at the crowd. The T-shirt is launched with an initial

kumpel [21]

Step-by-step explanation:

The T-shirt is launched with an initial upward velocity of 60 ft/s from a height of 5 feet. Its equation of motion is given by :

$f(x) = -12x^2 + 60x + 5$ ....(1)

(a) For maximum height, put $\dfrac{df(x)}{dt}=0$

So,

$\dfrac{ d(-12x^2 + 60x + 5)}{dt}=-24x+60$

Now put,

$-24x+60=0\\\\x=2.5\ s$

So, the time taken for the T-shirt to reach maximum height is 2.5 seconds.

(b) Put x = 2.5 s in equation (1)

$f(x=2.5) = -12(2.5)^2 + 60(2.5) + 5\\\\f(x)=80\ \text{feet}$

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2 years ago

Solve the system of equations using the linear combination method {5p-3q=-39 -2p-3q=3

VikaD [51]

Answer:

p=-6

q=3

Step-by-step explanation:

5p-3q=-39

-2p-3q=3

Multiply the second equation by -1

2p +3q = -3

Add the first equation and the modified second equation

5p-3q=-39

2p +3q = -3

---------------------

7p = -42

Divide by 7

7p/7 = -42/7

p = -6

Now we can find q

2p +3q = -3

2(-6) +3q = -3

-12 +3q = -3

Add 12 to each side

-12+12 +3q = -3+12

3q = 9

Divide by 3

3q/3 = 9/3

q=3

6 0

2 years ago

Read 2 more answers

The height of a clocktower is 44 meters. Max, who is standing near the clocktower, casts a 7 meter shadow and is 2 meters tall.

anyanavicka [17]

Answer:

the answer is 220 i calculated

7 0

6 months ago

Lana wants to graph the height of an amusement park ride as it travels along the track.

dalvyx [7]

I can’t do this for you, you have to drag the segments into the boxes. The fifth over is A. then you do the first line segment. Then the third. for D you do the fifth over

3 0

2 years ago

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Michelin Tire Company wishes to set a minimum mileage guarantee on its new MX100 tire. Tests reveal the mean mileage is 67,900 w

Keith_Richards [23]

Answer:

The minimum guaranteed mileage is $x = 71489.55$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 67900$

The standard deviation is $\sigma = 2050$

Generally for the probability to be 4% the minimum guaranteed mileage is evaluated as

$P( X \ge x ) =1- P( \frac{X - \mu }{\sigma } < \frac{ x - 67900 }{ 2050} ) = 0.04$

$\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )$

$P( X \ge x ) =1- P( Z$

=> $P( X \ge x ) = P( Z$

=> $z = \frac{ x - 67900 }{ 2050}$

From the z table, the critical value corresponding to 0.96 to the left of the curve is

$z = 1.751$

So

$1.751 = \frac{ x - 67900 }{ 2050}$

=> $x = 71489.55$

4 0

2 years ago