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3 years ago

5

When Mrs Jay split her class into groups of four, there were two children left over. When she split them into groups of five, th

ere was one child left.
How many children were there in the class?

1 answer:

wlad13 [49]3 years ago

7 0

21 kids were in the class.

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Find the given higher-order derivative.<br><br> f''(x) = 9- 3/x<br><br> f'''(x)=

Genrish500 [490]

Answer:

$f'''(x)=\frac{3}{x^{2}}$

Step-by-step explanation:

We are given with Second-order derivative of function f(x).

$f''(x)=9-\frac{3}{x}$

We need to find Third-order derivative of the function f(x).

$f''(x)=9-\frac{3}{x}=9-3x^{-1}$

We know that,

f'''(x) = (f''(x))'

So,

$f'''(x)=\frac{\mathrm{d}\,f''(x)}{\mathrm{d} x}$

$f'''(x)=\frac{\mathrm{d}\,(9-3x^{-1})}{\mathrm{d} x}$

$f'''(x)=\frac{\mathrm{d}\,9}{\mathrm{d} x}-\frac{\mathrm{d}\,3x^{-1}}{\mathrm{d} x}$

$f'''(x)=0-3\frac{\mathrm{d}\,x^{-1}}{\mathrm{d} x}$

$f'''(x)=-3(-1)x^{-1-1}$

$f'''(x)=3x^{-2}$

$f'''(x)=\frac{3}{x^{2}}$

Therefore, $f'''(x)=\frac{3}{x^{2}}$

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4 years ago

Explorer 35's orbit measured 11,400 kilometers across its long dimension. What was the orbit's semimajor axis in kilometers?a. 5

Aleksandr [31]

Answer:

option (a)

Step-by-step explanation:

Length of long dimension = 11400 km

It means it is the length of major axis.

So, the length of semi major axis = 11400 / 2 = 5700 km

Thus, the length of semi major axis is 5700 km.

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3 years ago

16r^4t-6r^3t^2+4rt^2=

DochEvi [55]

Answer:

$2rt(8r^3-3r^2t+2t)$

Step-by-step explanation:

We have been given a polynomial $16r^4t-6r^3t^2+4rt^2$ and we are supposed to simplify our polynomial.

We will use factoring to simplify our polynomial. Let us factor out the greatest common factor of all the terms.

We can see that 16, 6 and 4 has 2 as their greatest common factor.

The greatest common factor of $r^4, r^3,r$ is r.

The greatest common factor of $t, t^2, t^2$ is t.

So the greatest common factor of the terms of our expression will be $2rt$ .

Let us factor out $2rt$ from our given polynomial.

$2rt(8r^3-3r^2t+2t)$

As we can not factor our expression more, therefore, we will get $2rt(8r^3-3r^2t+2t)$ after simplifying our polynomial.

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3 years ago

There are 384 nails in a 16-ounce jar. How many nails are there per ounce in the jar?

dusya [7]

Oz(384n/16oz)=24n

So there are 24 nails per ounce in the jar.

7 0

3 years ago

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A classmate said that ab is parallel to dc based on the diagram below. Explain your classmate's error.

Annette [7]

For AB to be parallel to DC based on the diagram, angle AWZ must be equal to angle WZY.

But in the diagram shown, angle AWZ is equal to angle XYC and we are not told that WZ is parallel to XY.

Therefore his error is that he misapplied the alternate angle property.

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4 years ago