What is (6x-4)+(5z+8)

Mathematics

1 answer:

konstantin123 [22]3 years ago

6 0

Combine like terms.

6x + 5z + 4

You might be interested in

A middle school has 470 students. Regina surveys a random sample of 40 students and finds that 28 have cell phones. How many stu

Dmitry [639]

So from that i think the formula would be
$\frac{x}{470} = \frac{28}{40}$
so then you find "x" by multiplying 470 x 28 which equals 13,160. Then you divide 13,160 by 40 which equals 329.
X=329
329 students are likely to have phones

4 0

3 years ago

Read 2 more answers

Using the distributive property simplify the expression -3(x - 2) + 4

S_A_V [24]

Answer:

-3x+10

Step-by-step explanation:

-3(x - 2) + 4

Using the distributive property:

-3*x-3*(-2)+4

we have:

-3x+6+4

-3x+10

8 0

3 years ago

Read 2 more answers

A) Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given cur

Leno4ka [110]

(a) See the attached sketch. Each shell will have a radius y chosen from the interval [2, 4], a height of x = 2/y, and thickness ∆y. For infinitely many shells, we have ∆y converging to 0, and each super-thin shell contributes an infinitesimal volume of

2π (radius)² (height) = 4πy

Then the volume of the solid is obtained by integrating over [2, 4]:

$\displaystyle 4\pi \int_2^4 y\,\mathrm dy = 2\pi y^2\bigg|_{y=2}^{y=4} = 2\pi (4^2-2^2) = \boxed{24\pi}$

(b) See the other attached sketch. (The text is a bit cluttered, but hopefully you'll understand what is drawn.) Each shell has a radius 9 - x (this is the distance between a given x value in the orange shaded region to the axis of revolution) and a height of 8 - x ³ (and this is the distance between the line y = 8 and the curve y = x ³). Then each shell has a volume of

2π (9 - x)² (8 - x ³) = 2π (648 - 144x + 8x ² - 81x ³ + 18x ⁴ - x ⁵)

so that the overall volume of the solid would be

$\displaystyle 2\pi \int_0^2 (648-144x+8x^2-81x^3+18x^4-x^5)\,\mathrm dx = \boxed{\frac{24296\pi}{15}}$