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2 years ago

Is -√15 irrational or rational

1 answer:

6 0

Answer: it is irrational.

Explanation:

Square root that are not perfect square are considered irrational as sqrt(15) isn’t a perfect square thus it’s irrational.

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A dog jumps straight up. Y=-16t^2+20t models the motion of the dog, where "t" is the time in seconds and "y" is the height of th

alina1380 [7]

Answer:

Step-by-step explanation:

The motion of the dolphin is quadratic

i.e y=-16t²+20t

To get the maximum height the dolphin will reach

We need to find the point of inflexion. i.e dy/dt=0

dy/dt=-32t+20

Then set dy/dt=0

0=-32t+20

Then, -32t=-20

t=0.625

Let find d²y/dt²

d²y/dt²=-32. Since this is negative then the point t=0.625 is the maximum point the dolphin can reach

Then substitute t=0.625 into y

y=-16t²+20t

y=-16(0.625)²+20(0.625)

y=6.25ft

Then the maximum height the dolphin can reach is 6.25ft

Using discriminant

Formular method

y=-16t²+20t

So the dog height y<7

y=-16t²+20t <7

-16t²+20t-7<0

a=-16, b= 20. c=-7

t=(-b±√b²-4ac)/2a

Using the a, b and c direct for the discriminant

D=b²-4ac

D=20²-4×-16×-7

D=-48

Which is a complex number

Then the dolphin can reach the height

Then we need to model the D to be greater than 0

Therefore,

D>0

b²-4ac>0

We cannot do anything to a and b it is already given

a=-16, b=20

(20)²-4(-16c)>0

400+64c>0

64c>-400

Then

c>-6.25

Divide both side by - and the inequality sign will change

Therefore -c<6.25

So the dog height y<6.25

y=-16t²+20t <6.25

Therefore the maximum height is 6.25.

If it is greater than that then, we are going to have a complex root movement which is not possible for the dolphin .

5 0

3 years ago

What is 1÷ (3/4) = ?

Valentin [98]

Answer:

Step-by-step explanation:

You can get your calculator to do this for you. 3 ÷ 4 = 0.75

1 ÷ 0.75 = 1.3333

or you can divide by 3/4 by hand

----

=====

-----

1 * 4

--- ----------- ====== 1.33333

1 * 3

4 0

3 years ago

Please help!!

postnew [5]

$2 \frac{5}{8} \div 2 \frac{1}{2}$
Change the mixed fractions to improper fractions.
To do this, multiply the whole number part by the denominator. Add that to the numerator. Then write the result on top of the denominator.

You would now have:
$\frac{21}{8} \div \frac{5}{2}$
Change the division sign to a multiplication sign by turning the second fraction upside down.
That is,
$\frac{21}{8} \times \frac{2}{5}$

The answer is:
$\frac{42}{40}$

This can be simplified to:
$\frac{21}{20}$

8 0

2 years ago

Hey salesman needed to settle for Willie he priced at $3500 the first day it was on the market the second he reduced it by 10% w

nataly862011 [7]

Answer:

The price of the four wheeler after with the reduction is $3,150.

Step-by-step explanation:

The original price of the Willa = $3500

The reduction percentage = 10%

Now, 10% of $ 3500 = $\frac{10}{100} \times 3500 = 350$

So, the reduction amount is $350.

So, the reduced price of Willa = The original price - The reduced price

= $3500 - $350. = $3,150.

Hence, price of the four wheeler after with the reduction is $3,150.

5 0

3 years ago

Need help with this lol

Kisachek [45]

Answer:

Step-by-step explanation:

hope this helps with your work

8 0

2 years ago

Read 2 more answers