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wolverine [178]

3 years ago

11

What is the answer of 6−a+(2+a)?(simplified)

2 answers:

aleksley [76]3 years ago

7 0

6+2-a+a
8
The answer is 8

ra1l [238]3 years ago

3 0

$6-a+(2+a) : | \text{Simplify}$

$6-a+2+a : | \text{Simplify brackets}$

$(6+2)+(-a+a)$

$=8$

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Determine whether or not f is a gradient vector field. if it is, find a function φ such that f = ∇φ. (if the vector field is not

MArishka [77]

$\mathbf f(x,y)=(2x-6y)\,\mathbf i+(-6x+10y-7)\,\mathbf j$

For $\mathbf f$ to be the gradient of some scalar function $\varphi(x,y)$ , we need to find $\varphi$ that satisfies

$\dfrac{\partial \varphi}{\partial x}=2x-6y$
$\dfrac{\partial \varphi}{\partial y}=-6x+10y-7$

From the first PDE, it follows that (upon integrating with respect to $x$ )

$\varphi(x,y)=x^2-6xy+g(y)$

Differentiating with respect to $y$ yields

$\dfrac{\partial\varphi}{\partial y}=-6x+10y-7=-6x+\dfrac{\mathrm dg}{\mathrm dy}$
$\implies\dfrac{\mathrm dg}{\mathrm dy}=10y-7\implies g(y)=5y^2-7y+C$

$\implies\varphi(x,y)=x^2-6xy+5y^2-7y+C$

4 0

4 years ago

Solve: -2(4g - 3) = 30 *<br> 1 point<br> g = 4<br> g = -4<br> g = 2<br> g = -3

Paraphin [41]

$-2(4g - 3) = 30\\-8g+6=30\\-8g=24\\g=-3$

P.S. Hello from Russia

8 0

4 years ago

An article claims that 12% of trees are infested by a bark beetle. A random sample of 1,000 trees were tested for traces of the

inna [77]

Answer: 0.6812

Step-by-step explanation:

Let p be the population proportion of trees are infested by a bark beetle.

As per given: p= 12%= 0.12

Sample size : n= 1000

Number of trees affected in sample = 1000

Sample proportion of trees are infested by a bark beetle. = $\hat{p}=\dfrac{127}{1000}=0.127$

Now, the z-test statistic : $z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

So, $z=\dfrac{0.127-0.12}{\sqrt{\dfrac{0.12\times 0.88}{1000}}}$

$z=\dfrac{0.007}{\sqrt{\dfrac{0.1056}{1000}}}\\\\\\=\dfrac{0.007}{\sqrt{0.0001056}}\\\\\\=\dfrac{0.007}{0.010276}\approx0.6812$

Hence, the value of the z-test statistic = 0.6812 .

7 0

4 years ago

Morning Donuts tracked how many of each type of donut were recently sold.

snow_lady [41]

Answer: one of ten or one over two

Step-by-step explanation:

5 0

3 years ago

Under his cell phone plan, Owen pays a flat cost of $67.50 per month and $4 per gigabyte. He wants to keep his bill at $71.90 pe

Agata [3.3K]

Answer:

1.1 gigabytes

Step-by-step explanation:

Let us represent:

The number of gigabytes = g

Under his cell phone plan, Owen pays a flat cost of $67.50 per month and $4 per gigabyte. He wants to keep his bill at $71.90 per month.

The Equation is given as:

$71.90 = $67.50 + $4 × g

71.90 = 67.50 + 4g

71.90 - 67.50 = 4g

4.4 = 4g

x = 4.4/4

x = 1.1 gigabytes

Therefore, the number of gigabytes of data Owen can use while staying within his budget is 1.1 gigabytes

8 0

3 years ago

Read 2 more answers