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notsponge [240]

2 years ago

13

Noah reads the problem, “Evaluate each expression, giving the answer in scientific notation.” The first problem part is: 5.4×105

+2.3×104. Noah says, “I can rewrite 5.4×105 as 54×104. Now I can add the numbers: 54×104+2.3×104=56.3×104.”

1 answer:

muminat2 years ago

8 0

Answer:5.4×105+2.3×104.

Step-by-step explanation:

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Consider the differential equation: dy/dx = (y-2)(x^2+1)

Klio2033 [76]

Answer:

6

Step-by-step explanation:

Given,

$\dfrac{dy}{dx}=(y-2)(x^2+1)$ ...(i)

Differentiating w.r. to x.

$\dfrac{d^2y}{dx^2}= (y-2)(2x)+ (x^2+1)\dfrac{dy}{dx}$

From equation (1)

$\dfrac{d^2y}{dx^2}= (y-2)(2x)+ (x^2+1)^2(y-2)$

Now, at the point (1,3)

$\dfrac{d^2y}{dx^2}= (3-2)(2\times 1)+ (1^2+1)^2(3-2)$

$\dfrac{d^2y}{dx^2}=6$

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3 years ago

What is the mixed number for 14/3

Elena-2011 [213]

The mixed number for 14/3 is 4 2/3

4 0

3 years ago

Read 2 more answers

The choices are:

Harrizon [31]

Let's take a look at D:

<span>D) y = (x-1)^2 - 16 Compare this to
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7 0

3 years ago

What is an equation of a line which passes through (6,9) and is perpendicular to the line whose equation is 4x − 6y = 15?

Svetllana [295]

<u>Given:</u>

The equation of the line passes through the point (6,9) and is perpendicular to the line whose equation is $4 x-6 y=15$

We need to determine the equation of the line.

<u>Slope</u>:

Let us convert the equation to slope - intercept form.

$-6 y=15-4x$

$y=\frac{2}{3}x-\frac{5}{2}$

From the above equation, the slope is $m_1=\frac{2}{3}$

Since, the lines are perpendicular, the slope of the line can be determined using the formula,

$m_1 \cdot m_2=-1$

$\frac{2}{3} \cdot m_2=-1$

$m_2=-\frac{3}{2}$

Therefore, the slope of the equation is $m=-\frac{3}{2}$

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting the point (6,9) and the slope $m=-\frac{3}{2}$ in the above formula, we get;

$y-9=-\frac{3}{2}(x-6)$

Simplifying the terms, we get;

$2(y-9)=-3(x-6)$

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$3x+2y=36$

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3 0

3 years ago

HELP What is the approximate volume of a cone with a height of 12 in. And a radius of 9in.?

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6 0

3 years ago