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statuscvo [17]
3 years ago
9

What is 3x-1=2x+4=​

Mathematics
1 answer:
Finger [1]3 years ago
3 0

Answer:

X=5

move variable to the left side and change its sign.

move constant to the right side and change its sign

collect like terms x=4+1, add the numbers x=5

Step-by-step explanation:

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A recipe for 8 people includes 4 pounds of sugar. How many pounds of sugar would be necessary for 6 people?
sammy [17]

Answer:

3pound sugar .,......................

3 0
3 years ago
Evaluate (−23)×(−23)3 by using the Laws of Exponents
Nikolay [14]

Given:

\left(-\dfrac{2}{3}\right)\times \left(-\dfrac{2}{3}\right)^3

To find:

The value of given expression by using the Laws of Exponents.

Solution:

We have,

\left(-\dfrac{2}{3}\right)\times \left(-\dfrac{2}{3}\right)^3

Using the Laws of Exponents, we get

=\left(-\dfrac{2}{3}\right)^{1+3}      [\because a^ma^n=a^{m+n}]

=\left(\dfrac{-2}{3}\right)^{4}

=\dfrac{(-2)^4}{(3)^4}      [\because \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}]

=\dfrac{(-2)\times (-2)\times (-2)\times (-2)}{(3)\times (3)\times (3)\times (3)}

=\dfrac{16}{81}

Therefore, the value of given expression is \dfrac{16}{81}.

3 0
3 years ago
Find an equation for the nth term of the sequence.
tensa zangetsu [6.8K]

Answer:

a. an = -1 • 4^(n - 1)

Step-by-step explanation:

It's easy see that each term is multiplied by 4 to get the next term, so the common ratio will be 4, that reduces the choices to answers A and B (since C and D use -1 as common ratio).  Also, normally a geometric progression uses "n-1", so we'll first try with A to see if it works.

a1 = (-1) * 4^0 = -1 * 1 = -1

a2 = (-1) * 4^1 = -1 * 4 = -4

a3 = (-1) * 4^2 = -1 * 16 = -16

Yes, it works... so the answer is an = -1 • 4^(n - 1)

6 0
3 years ago
Which relation is a function?
kirill115 [55]

Answer:

Step-by-step explanation:

The graph certainly is, if you ignore the fact that you don't know what the equation for the graph is.

Each x has only 1 y associated with it. That's the definition of a function. This one presumably follows that definition, but I caughten you, without the equation, you can't be sure.

7 0
2 years ago
Find the outward flux of the vector field f=(x3,y3,z2) across the surface of the region that is enclosed by the circular cylinde
ahrayia [7]
Use the divergence theorem.

\mathbf f(x,y,z)=(x^3,y^3,z^3)\implies \nabla\cdot\mathbf f=3(x^2+y^2+z^2)

Calling the closed region \mathcal R and its boundary the surface \partial\mathcal R, we have by the divergence theorem,

\displaystyle\underbrace{\iint_{\partial\mathcal R}\mathbf f\cdot\mathrm d\mathbf S}_{\text{flux}}=\iiint_{\mathcal R}\nabla\cdot\mathbf f\,\mathrm dV

We set up the volume integral in cylindrical coordinates, using

\begin{cases}x=u\cos v\\y=u\sin v\\z=w\end{cases}\implies\mathrm dV=u\,\mathrm du\,\mathrm dv\,\mathrm dw

\displaystyle\iiint_{\mathcal R}\nabla\cdot\mathbf f\,\mathrm dV=3\int_{w=0}^{w=6}\int_{v=0}^{v=2\pi}\int_{u=0}^{u=8}(u^2\cos^2v+u^2\sin^2v+w^2)u\,\mathrm du\,\mathrm dv\,\mathrm dw
=6\pi\displaystyle\int_{w=0}^{w=6}\int_{u=0}^{u=8}(u^3+uw^2)\,\mathrm du\,\mathrm dw=50,688\pi
7 0
3 years ago
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