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3 years ago

2x – 5 + 3x + 12 5x + 7

Mathematics

1 answer:

Fittoniya [83]3 years ago

7 0

Answer:

x=-5

Step-by-step explanation:

I used my ti-84 plus ce calculator to calculate this

>math

>numerical solver

>type equation

>enter

>you answer appears

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What is the youngest age for which the average income of a lawyer is $275,000

anzhelika [568]

I think it is 350,000

3 0

3 years ago

On the first play of a game, a running back gained 7 yards. On the next play, he lost 19 uards. Find the change in yards in thet

Ivenika [448]

Answer:-12 yards

Step-by-step explanation:7 yards - 19yards

you are at 0 after you subtract 7 and you still need to subtract 12 more and that is how you get -12 subtract 12 frome 0 and you get -12

7-19=-12

6 0

4 years ago

Use Stokes' Theorem to evaluate C F · dr F(x, y, z) = xyi + yzj + zxk, C is the boundary of the part of the paraboloid z = 1 − x

Serggg [28]

I assume $C$ has counterclockwise orientation when viewed from above.

By Stokes' theorem,

$\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S$

so we first compute the curl:

$\vec F(x,y,z)=xy\,\vec\imath+yz\,\vec\jmath+xz\,\vec k$

$\implies\nabla\times\vec F(x,y,z)=-y\,\vec\imath-z\,\vec\jmath-x\,\vec k$

Then parameterize $S$ by

$\vec r(u,v)=\cos u\sin v\,\vec\imath+\sin u\sin v\,\vec\jmath+\cos^2v\,\vec k$

where the $z$ -component is obtained from

$1-(\cos u\sin v)^2-(\sin u\sin v)^2=1-\sin^2v=\cos^2v$

with $0\le u\le\dfrac\pi2$ and $0\le v\le\dfrac\pi2$ .

Take the normal vector to $S$ to be

$\vec r_v\times\vec r_u=2\cos u\cos v\sin^2v\,\vec\imath+\sin u\sin v\sin(2v)\,\vec\jmath+\cos v\sin v\,\vec k$

Then the line integral is equal in value to the surface integral,

$\displaystyle\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S$

$=\displaystyle\int_0^{\pi/2}\int_0^{\pi/2}(-\sin u\sin v\,\vec\imath-\cos^2v\,\vec\jmath-\cos u\sin v\,\vec k)\cdot(\vec r_v\times\vec r_u)\,\mathrm du\,\mathrm dv$

$=\displaystyle-\int_0^{\pi/2}\int_0^{\pi/2}\cos v\sin^2v(\cos u+2\cos^2v\sin u+\sin(2u)\sin v)\,\mathrm du\,\mathrm dv=\boxed{-\frac{17}{20}}$

6 0

3 years ago

Solve the following equation:<br> 9n² - n - 2/3 = 0

KIM [24]

Answer:

see explanation

Step-by-step explanation:

Given

9n² - n - $\frac{2}{3}$ = 0 ← multiply through by 3 to clear the fraction

27n² - 3n - 2 = 0 ← factoring

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term

product = 27 × - 2 = - 54 and sum = - 3

The factors are - 9 and + 6

Use these factors to split the n- term

27n² - 9n + 6n - 2 = 0 ( factor the first/second and third/fourth terms )

9n(3n - 1) + 2(3n - 1) = 0 ← factor out (3n - 1) from each term

(3n - 1)(9n + 2) = 0

Equate each factor to zero and solve for n

3n - 1 = 0 ⇒ 3n = 1 ⇒ n = $\frac{1}{3}$

9n + 2 = 0 ⇒ 9n = - 2 ⇒ n = - $\frac{2}{9}$

3 0

3 years ago

PLEASE HELP LIKE RN, thank you so much

Komok [63]

Answer:

Facts.

Step-by-step explanation:

4 0

3 years ago