Ask question

Ask question

All categories

3 years ago

11

the mustard factory has 20,000 ounces of mustard to put into small packets.uf each packets holds 1/4 ounce,how many packets can

be filled

1 answer:

bekas [8.4K]3 years ago

8 0

5,000 packets
All you have to do is multiple both the numbers

You might be interested in

A fluid has density 810 kg/m3 and flows with velocity v = z i + y2 j + x2 k, where x, y, and z are measured in meters and the co

mixas84 [53]

Denote the cylindrical surface by $S$ , and its interior by $R$ . By the divergence theorem, the integral of $\vec v$ across $S$ (the outward flow of the fluid) is equal to the integral of the divergence of $\vec v$ over the space it contains, $R$ :

$\displaystyle\iint_S\vec v\cdot\mathrm d\vec S=\iiint_R(\nabla\cdot\vec v)\,\mathrm dV$

The given velocity vector has divergence

$\vec v=z\,\vec\imath+y^2\,\vec\jmath+x^2\,\vec k\implies\nabla\cdot\vec v=\dfrac{\partial(z)}{\partial x}+\dfrac{\partial(y^2)}{\partial y}+\dfrac{\partial(x^2)}{\partial z}=2y$

Then the total outward flow is

$\displaystyle\iiint_R2y\,\mathrm dV$

Converting to cylindrical coordinates gives the integral

$\displaystyle2\int_0^{2\pi}\int_0^3\int_0^4r^2\sin\theta\,\mathrm dz\,\mathrm dr\,\mathrm d\theta=\boxed{0}$

6 0

3 years ago

Write Absolute value equation that has the given solutions 4 and 11

Hoochie [10]

| x + a | = | x + a |
As given in the question x=3 or x=9, replace first x by 3 and the other x by 9
| 3 + a | = | 9 + a |
3 + a = - ( 9 + a)
3 + a = -9 - a (Solving for a )
2a = -12
a = -12/2
a= -6
now, | x + a | = | 3 - 6 | = |-3| = 3
| x + a | = | 9 - 6 | = |3| = 3
Therefore, the answer is | x - 6 | = 3

4 0

3 years ago

You want to buy a new sports car from roy's cars for $51,800. the contract is in the form of a 48-month annuity due at an apr of

qwelly [4]

The present value of an annuity is given by

$PV= P\left(\frac{1-\left(1+ \frac{r}{t}\right)^{-nt} }{ \frac{r}{t} } \right)$

where: PV is the current value of the annuity, P is the periodic payment, r is the apr, t is the number of compounding in one year and n is the number of years.

Thus, given that PV = $51,800; r = 7.8% = 0.078; t = 12; n = 4.

$51,800= P\left(\frac{1-\left(1+ \frac{0.078}{12}\right)^{-4\times12} }{ \frac{0.078}{12} } \right) \\ \\ =P\left(\frac{1-(1+ 0.0065)^{-48} }{ 0.0065 } \right)=P\left(\frac{1-(1.0065)^{-48} }{ 0.0065 } \right) \\ \\ =P\left(\frac{1-0.7327}{ 0.0065 } \right)=P\left(\frac{0.2673}{ 0.0065 } \right)=41.12P \\ \\ \Rightarrow P= \frac{51,800}{41.12} =\$1,259.73$

Therefore, the <span>monthly payment is $1,259.73</span>

6 0

3 years ago

Read 2 more answers

F(x) = 100+ 3x<br> g(x) = 8x<br><br> How do I combine the functions

goblinko [34]

Answer:

Step-by-step explanation:

y=100+3x;gx=8x

Hope it helps

Mark me as brainiest

6 0

3 years ago

A group of students were asked if they carry a credit card. The responses are listed in

Stels [109]

Part of the question is missing

3 0

3 years ago