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3 years ago

Expression written using exponents

1 answer:

5 0

Since there are no specific requirements given other than expression written using exponents, I am just going to give some examples.

1. 5x^2 - 3

2. 8^5 - 15x + 7

3. 15x^10 - 8x^7 + 16x^5 + 17^3 - 4^2 +13x - 2

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Evaluate 14 + (-8) ÷ 2 · -3. -9 15 26 -30

Rudiy27

For this case we must evaluate the following expression:

14 + (- 8) ÷ 2 * -3

According to the method of algebraic resolution, called PEMDAS, the divisions and multiplications must be made from left to right, before the addition and subtraction, then:

14 + (- 4) * - 3 =

We eliminate the parenthesis keeping in mind that $- * - = +$

$14 + 12 =$

Equal signs are added and the same sign is placed:

$14 + 12 = 26$

Answer:

7 0

3 years ago

Evaluate the quotient of 1.05 x 103 and 1 x 103: 1.05 x 109 1.05 x 106 1.05 x 100 1.05 x 10-6

kakasveta [241]

Answer:

HARD A F Sorry

8 0

3 years ago

Read 2 more answers

Which system of linear equations represents another pair of parallel lines?

vesna_86 [32]

Answer:

The answer is C. 3x+y=7, 6x+2y=10

Step-by-step explanation:

7 0

2 years ago

Calculate s f(x, y, z) ds for the given surface and function. g(r, θ) = (r cos θ, r sin θ, θ), 0 ≤ r ≤ 4, 0 ≤ θ ≤ 2π; f(x, y, z)

Triss [41]

$g(r,\theta)=(r\cos\theta,r\sin\theta,\theta)\implies\begin{cases}g_r=(\cos\theta,\sin\theta,0)\\g_\theta=(-r\sin\theta,r\cos\theta,1)\end{cases}$

The surface element is

$\mathrm dS=\|g_r\times g_\theta\|\,\mathrm dr\,\mathrm d\theta=\sqrt{1+r^2}\,\mathrm dr\,\mathrm d\theta$

and the integral is

$\displaystyle\iint_Sx^2+y^2\,\mathrm dS=\int_0^{2\pi}\int_0^4((r\cos\theta)^2+(r\sin\theta)^2)\sqrt{1+r^2}\,\mathrm dr\,\mathrm d\theta$

$=\displaystyle2\pi\int_0^4r^2\sqrt{1+r^2}\,\mathrm dr=\frac\pi4(132\sqrt{17}-\sinh^{-1}4)$

###

To compute the last integral, you can integrate by parts:

$u=r\implies\mathrm du=\mathrm dr$

$\mathrm dv=r\sqrt{1+r^2}\,\mathrm dr\implies v=\dfrac13(1+r^2)^{3/2}$

$\displaystyle\int_0^4r^2\sqrt{1+r^2}\,\mathrm dr=\frac r3(1+r^2)^{3/2}\bigg|_0^4-\frac13\int_0^4(1+r^2)^{3/2}\,\mathrm dr$

For this integral, consider a substitution of

$r=\sinh s\implies\mathrm dr=\cosh s\,\mathrm ds$

$\displaystyle\int_0^4(1+r^2)^{3/2}\,\mathrm dr=\int_0^{\sinh^{-1}4}(1+\sinh^2s)^{3/2}\cosh s\,\mathrm ds$

$\displaystyle=\int_0^{\sinh^{-1}4}\cosh^4s\,\mathrm ds$

$=\displaystyle\frac18\int_0^{\sinh^{-1}4}(3+4\cosh2s+\cosh4s)\,\mathrm ds$

and the result above follows.

4 0

3 years ago

John is choosing a password for an account. He has decided not to use the digit 0 or the letter m. And each letter or number can

kap26 [50]

<em>If this guy doesn't use the letter m, then the first and second characters of the password could be any of the 25 remaining letters. So, the number of possible combinations of 2 letters is 25 times 25, or 625.

If he doesn't use the digit 0, how many digits are left to choose from?

The first 2 characters of the password will be letters; after that there come four digits. How many different combinations of 4 digits are there if 0 is not used?

To obtain the final result, mult. together that 625 and the number of possible combinations of digits just found above.</em>

4 0

3 years ago