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3 years ago

Your statement balance is 600.00 You have an outstanding checks for

Mathematics

1 answer:

pochemuha3 years ago

8 0

Answer:

Step-by-step explanation:

600+125+175=900-400(deposit)=500

600-125-175-300-200=100+400=500

Brainliest Please :)

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5.3x10 4 in standard form.

valina [46]

Answer:

5.3× 10⁴= ?

Step-by-step explanation:

10⁴ can also be written as 10×10×10×10= 10000

so, 5.3 × 10000= 53000

8 0

3 years ago

EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi

Valentin [98]

If there is such a scalar function f, then

$\dfrac{\partial f}{\partial x}=4y^2$

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}$

$\dfrac{\partial f}{\partial z}=16ye^{4z}$

Integrate both sides of the first equation with respect to x :

$f(x,y,z)=4xy^2+g(y,z)$

Differentiate both sides with respect to y :

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}$

$\implies\dfrac{\partial g}{\partial y}=4e^{4z}$

Integrate both sides with respect to y :

$g(y,z)=4ye^{4z}+h(z)$

Plug this into the equation above with f , then differentiate both sides with respect to z :

$f(x,y,z)=4xy^2+4ye^{4z}+h(z)$

$\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}$

$\implies\dfrac{\mathrm dh}{\mathrm dz}=0$

Integrate both sides with respect to z :

$h(z)=C$

So we end up with

$\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}$

7 0

3 years ago

He makes $316 a week and $23 for every sale he makes. He has to pay his rent this week that is $500, so he will need to make at

Lyrx [107]

let x be the number of sales Hayward needs to make

316+23x > or equals to 500

23x> or equals to 184

x> or equals to 8

4 0

3 years ago

If Esteban counted the number of steps it took him to school .And he counted 1,138 steps how many steps does he take walking to

Semmy [17]

Answer:

1,138 steps

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Steps counted to school = 1,138

So, we can calculate the steps he take walking to school by using following formula,

Steps take walking to school = Steps he counted to school

So, Steps take walking to school = 1,138 steps

Hence, Esteban take 1,138 steps while walking to school.

7 0

3 years ago

In a regular 52 deck of cards, what is the probability of picking a random spade, a 4 of any suit and then a random diamond with

meriva

$sample \: space = 52 \: cards \\ spades = 13 \: cards \\ number \: 4s = 4 \: cards \\ diamonds = 13 \: cards \\ note \: that = \\ there \: is \: replacement \\ order \: does \: matter$

$P( \gamma ) = \frac{13}{52} \times \frac{4}{52} \times \frac{13}{52} = \frac{1}{208}$

5 0

2 years ago