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3 years ago

What is the quotient of 2 by 1/2 to 5/8

Mathematics

1 answer:

Reika [66]3 years ago

4 0

If you would like to find the quotient of 2 1/4 and 5/8, you can calculate this using the following steps:

2 1/4 = 9/4

2 1/4 / 5/8 = 9/4 / 5/8 = 9/4 * 8/5 = 18/5 = 3 3/5

The correct result would be 3 3/5.

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A ball is thrown into the air and its position is given by h ( t ) = − 6.3 t 2 + 53 t + 24 where h is the height of the ball in

nordsb [41]

Answer:

$h'(t) = -12.6 t +53$

Now we can set up the derivate equal to 0 and we have:

$-12.6 t +53 = 0$

And solving for t we got:

$t = \frac{53}{12.6}= 4.206$

For the second derivate respect the time we got:

$h''(t) = -12.6$

So then we can conclude that t = 4.206 is a maximum for the function.

And the corresponding height would be:

$h(t=4.206) = -6.3(4.206)^2 +53*4.206+24= 135.468 ft$

So the maximum occurs at t = 4.206 s and with a height of 135.468 m

Step-by-step explanation:

For this case we have the following function:

$h(t) = -6.3t^2 +53 t+24$

In order to maximize this function we need to take the first derivate respect the time and we have:

$h'(t) = -12.6 t +53$

Now we can set up the derivate equal to 0 and we have:

$-12.6 t +53 = 0$

And solving for t we got:

$t = \frac{53}{12.6}= 4.206$

For the second derivate respect the time we got:

$h''(t) = -12.6$

So then we can conclude that t = 4.206 is a maximum for the function.

And the corresponding height would be:

$h(t=4.206) = -6.3(4.206)^2 +53*4.206+24= 135.468 ft$

So the maximum occurs at t = 4.206 s and with a height of 135.468 m

8 0

3 years ago

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 9x2 – 36x?

Alona [7]

Answer:

The answer to your question is the third option

Step-by-step explanation:

See the picture below

a) In the picture we observe that the parabola was narrowed not widened, so this option is incorrect.

b) From the picture, we conclude that the graph was shifted right 2 units, not four, so this option is incorrect.

c) From the picture, we observe that this option is the correct one.

d) We observe in the picture that this graph was not reflected so this option is incorrect.

7 0

4 years ago

Read 2 more answers

A bin contains 25 light bulbs, 5 of which are in good condition and will function for at least 30 days, 10 of which are partiall

Ira Lisetskai [31]

Answer:

The probability that it will still be working after one week is $\frac{1}{5}$

Step-by-step explanation:

Given :

Total number of bulbs = 25

Number of bulbs which are good condition and will function for at least 30 days = 5

Number of bulbs which are partially defective and will fail in their second day of use = 10

Number of bulbs which are totally defective and will not light up = 10

To find : What is the probability that it will still be working after one week?

Solution :

First condition is a randomly chosen bulb initially lights,

i.e. Either it is in good condition and partially defective.

Second condition is it will still be working after one week,

i.e. Bulbs which are good condition and will function for at least 30 days

So, favorable outcome is 5

The probability that it will still be working after one week is given by,

$\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}$

$\text{Probability}=\frac{5}{25}$

$\text{Probability}=\frac{1}{5}$

5 0

3 years ago

Find the gain percent in the following:<br>Cost Price Rs 280,<br>(a) Selling Price<br>Rs 290

Nikolay [14]

Answer:

3.57

Step-by-step explanation:

P=SP -CP

=290-280=10

P%= $\frac{P*100}{CP}$

= $\frac{10*100}{280}$

= $\frac{1000}{280}$

=3.57

4 0

4 years ago

There are 150 oranges, apples and pears in a box. The ratio of the number of oranges to the number of apples is 3:5 and the rati

Rom4ik [11]

Answer:

Pears: 30

Step-by-step explanation:

Constant:

3x + 5x + 2x = 150

10x = 150

x = 15

Multiply ratio with constant from above:

oranges : apples

3 * 15 : 5 * 15

45 : 75 ==> 45 oranges: 75 apples

pears : apples

2 * 15 : 5 * 15

30 : 75 ==> 30 pears: 75 apples

Check:

45 oranges + 75 apples + 30 pears = 150 fruits

4 0

3 years ago