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2 years ago

24

Mathematics

2 answers:

Verdich [7]2 years ago

7 0

D!!! i think. not sure

Zarrin [17]2 years ago

6 0

M= -2/5
D is the answer

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Could someone please explain to me how to solve this problem? Thanks! :)

BartSMP [9]

Answer:

First of all since they are dividing subtract the powers of the base from each other .

Make sure the bases are the same.

((6^7-6)(3^3-4))³

((6)(3^-1))³

(6³)(3^-3)

216 × 1/27

= 8

That's option d.

Hope this helps.

6 0

3 years ago

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

2 years ago

sues teacher asked her to find 42.6 divided by 10 to the second power . how should sue move the decimal point to get the correct

Marizza181 [45]

She should move it one place to the left because there is one zero in ten so however many zeros there are in the multiple of 10 that's how many times you move it. Then, you move it left to divide and right to multiply. Hope I helped!

8 0

3 years ago

Mckinney donated 9 soda bottles to the after

Papessa [141]

Answer:

33%

Step-by-step explanation:

9 - 6 = 3

3 / 9 = 0.33

0.33 x 100 = 33%

Amount of what you have divided by the total amount of something, times by 100 gives you the percentage

4 0