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3 years ago

CAN SOMEONE PLEASE WRITE AN EQUATION TO THIS! I WOULD VERY MUCH APPRECIATE IT!

Mathematics

1 answer:

Tresset [83]3 years ago

7 0

Y=-1/3x-4
is that what you meant? as in y=mx+b form?

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In one day, a book store earned $253 in sales for 4 copies of a new cookbook and 5 copies of a new science fiction novel. On the

Aloiza [94]

Answer: cookbook $40 and science $15

Step-by-step explanation:

5 0

2 years ago

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Hi guys, can anyone help me with this triple integral? Many thanks:)

Crank

Another triple integral. We're integrating over the interior of the sphere

$x^2+y^2+z^2=2^2$

Let's do the outer integral over z. z stays within the sphere so it goes from -2 to 2.

For the middle integral we have

$y^2=4-x^2-z^2$

x is the inner integral so at this point we conservatively say its zero. That means y goes from $-\sqrt{4-z^2}$ and $+\sqrt{4-z^2}$

Similarly the inner integral x goes between $\pm-\sqrt{4-y^2-z^2}$

So we rewrite the integral

$\displaystyle \int_{-2}^{2} \int_{-\sqrt{4-z^2}}^{\sqrt{4-z^2}} \int_{-\sqrt{4-y^2-z^2}}^{\sqrt{4-y^2-z^2}} (x^2+xy+y^2)dx \; dy \; dz$

Let's work on the inner one,

$\displaystyle\int_{-\sqrt{4-y^2-z^2}}^{\sqrt{4-y^2-z^2}} (x^2+xy+y^2)dz$

There's no z in the integrand, so we treat it as a constant.

$=(x^2+xy+y^2)z \bigg|_{z=-\sqrt{4-y^2-z^2}}^{z=\sqrt{4-y^2-z^2}}$

So the middle integral is

$\displaystyle\int_{-\sqrt{4-z^2}}^{\sqrt{4-z^2}}2(x^2+xy+y^2)\sqrt{4-y^2-z^2} \ dy$

I gotta go so I'll stop here, sorry.

7 0

3 years ago

Read 2 more answers

Find the y-intercept and the slope of 12x-4y=7

den301095 [7]

Answer:

The slope is 3 and the y intercept is -7/4

Step-by-step explanation:

We need to get the equation in the form

y = mx+b where m is the slope and b is the y intercept

12x - 4y =7

Subtract 12x from each side

12x-12x -4y = -12x +7

-4y = -12x+7

Divide each side by -4

-4y/-4 = -12x/-4 +7/-4

y = 3x + -7/4

The slope is 3 and the y intercept is -7/4

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3 years ago

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14. Which number sentence is true if the

valentinak56 [21]

Answer:

Step-by-step explanation:

Here, we want to know which of the options would be true if we replace the term in the box ( D) by the value 1,537.

The correct option here is thus D

What we have here would be

1537 > 1,357

This can be read as 1537 is greater than 1,357 which is correct

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3 years ago

The lengths of the sides of the triangle are 3, 8, and 10. Is the triangle a right triangle, acute triangle, or an obtuse triang

weqwewe [10]

Answer:

Obtuse

Step-by-step explanation:

You have to make sure it is a triangle by adding the smallest and the medium sides, if the result is greater than the bigger side then it is a triangle.
you then use the Pythagorean theorem to check if the triangle is a right triangle, acute, or obtuse. If $c^{2}$ = $a^{2} +b^{2}$ then it is a right triangle. If $c^{2} >a^{2} + b^{2}$ then it is an obtuse triangle. if $c^{2} < a^{2} +b^{2}$ then it is an acute triangle.

$10^{2}$ _ $3^{2} + 8^{2}$
9+64_100
70_100
70<100

in this case $c^{2}$ is greater than $a^{2} +b^{2}$ therefore, is it an obtuse triangle.

3 0

3 years ago