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3 years ago

Is 5.78778778 a rational or irrational number? Explain

1 answer:

6 0

Hello There!

It is rational as it can be written as a fraction and had a pattern to it.

Hope This Helps You!
Good Luck :)

You might be interested in

Find the exact length of the curve. x=et+e−t, y=5−2t, 0≤t≤2 For a curve given by parametric equations x=f(t) and y=g(t), arc len

Rama09 [41]

The length of a curve C parameterized by a vector function r(t) = x(t) i + y(t) j over an interval a ≤ t ≤ b is

$\displaystyle\int_C\mathrm ds = \int_a^b \sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2} \,\mathrm dt$

In this case, we have

x(t) = exp(t ) + exp(-t ) ==> dx/dt = exp(t ) - exp(-t )

y(t) = 5 - 2t ==> dy/dt = -2

and [a, b] = [0, 2]. The length of the curve is then

$\displaystyle\int_0^2 \sqrt{\left(e^t-e^{-t}\right)^2+(-2)^2} \,\mathrm dt = \int_0^2 \sqrt{e^{2t}-2+e^{-2t}+4}\,\mathrm dt$

$=\displaystyle\int_0^2 \sqrt{e^{2t}+2+e^{-2t}} \,\mathrm dt$

$=\displaystyle\int_0^2\sqrt{\left(e^t+e^{-t}\right)^2} \,\mathrm dt$

$=\displaystyle\int_0^2\left(e^t+e^{-t}\right)\,\mathrm dt$

$=\left(e^t-e^{-t}\right)\bigg|_0^2 = \left(e^2-e^{-2}\right)-\left(e^0-e^{-0}\right) = \boxed{e^2-\frac1{e^2}}$

5 0

3 years ago

Identify the graph of (x+3)^2 - 4y for T(-7,2) and write and equation of the translated or rotated graph in general form.

Firlakuza [10]

Answer:

Step-by-step explanation:

4 0

3 years ago

Math help please i will mark brainliest!!!!!

mel-nik [20]

Answer:

The second choice is the correct one.

Step-by-step explanation:

20x^4 - 45x^2

GCF is 5x^2, so the factors are:

5x^2( 4x^2 - 9)

Now 4x^2 - 9 is the differencr of 2 squares:

4x^2 - 9 = (2x + 3)(2x - 3)>

4 0

3 years ago

Explain your answer !! Have a nice day Will give braisnlt

11111nata11111 [884]

Answer:

The price of hot dog is $2.5 and that of a pretzel is $1.25.

Step-by-step explanation:

Let the cost of hotdogs be x and that of pretzels be x.

So,

4x+3y = 13.75 ...(1)

and

2x+5y = 11.25 ...(2)

Multiply equation (2) by 2.

4x+10y = 22.5 ...(3)

Subtract equation (1) from (3).

4x+10y-(4x+3y) = 22.5-13.75

4x+10y-4x-3y = 8.75

7y = 8.75

y = 1.25

Put the value of y in equation (1).

4x+3(1.25) = 13.75

4x+3.75 = 13.75

4x = 13.75-3.75

4x = 10

x = 2.5

So, the price of hot dog is $2.5 and that of a pretzel is $1.25.

3 0

3 years ago

The ratio of tulips to roses is 17/11. If there are 3444 tulips and roses in the garden, how many are tulips?

irga5000 [103]

You can also approach it this way:

28 flowers times n = 3444

so n = 123

11 x 123 = roses, 17 x 123 = tulips.

Those 2 products should add up to 3444. They do. :-)

gotchaaaaaa

ahhh

thanxxx

5 0

3 years ago