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2 years ago

List the first 5 multiples and find all the factors of 7 prime or composite

Mathematics

1 answer:

jek_recluse [69]2 years ago

7 0

Step-by-step explanation:

Factors={7,14,21,28,35}

Prime= {7}

Composite={14,21,28,35}

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16 = –d + 6 A. 10 B. –10 C. –9 D. –15

just olya [345]

16 = -d + 6 |-6

10 = -d |change signs

d = -10

Answer: B. -10

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3 years ago

Middle school math problem.....

Lynna [10]

Answer:

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Step-by-step explanation:

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2 years ago

Find the mass of the solid paraboloid Dequals={(r,thetaθ,z): 0less than or equals≤zless than or equals≤8181minus−r2, 0less th

Lubov Fominskaja [6]

Answer:

M = 5742π

Step-by-step explanation:

Given:-

- Find the mass of a solid with the density ( ρ ):

ρ ( r, θ , z ) = 1 + z / 81

- The solid is bounded by the planes:

0 ≤ z ≤ 81 - r^2

0 ≤ r ≤ 9

Find:-

Find the mass of the solid paraboloid

Solution:-

- The mass (M) of any solid body is given by the following triple integral formulation:

$M = \int \int \int {p ( r ,theta, z)} \, dV\\\\$

- We can write the above expression in cylindrical coordinates:

$M = \int\limits\int\limits_r\int\limits_z {r*p(r,theta,z)} \, dz.dr.dtheta \\\\M = \int\limits\int\limits_r\int\limits_z {r*[ 1 + \frac{z}{81}] } \, dz.dr.dtheta\\\\$

- Perform integration:

$M = \int\limits\int\limits_r{r*[ z + \frac{z^2}{162}] } \,|_0^8^1^-^r^2 dr.dtheta\\\\M = \int\limits\int\limits_r{r*[ 81-r^2 + \frac{(81-r^2)^2}{162}] } \, dr.dtheta\\\\M = \int\limits\int\limits_r{r*[ 81-r^2 + \frac{6561 -162r + r^2}{162}] } \, dr.dtheta\\\\M = \int\limits\int\limits_r{r*[ 81-r^2 + 40.5 -r +\frac{r^2}{162} ] } \, dr.dtheta\\\\M = \int\limits\int\limits_r{[ 121.5r-r^2 -\frac{161r^3}{162} ] } \, dr.dtheta\\\\$

$M = 2*\int\limits_0^\pi {[ 121.5r^2-r^3 -\frac{161r^4}{162} ] } |_0^6 \, dtheta\\\\M = 2*\int\limits_0^\pi {[ 121.5(6)^2-(6)^3 -\frac{161(6)^4}{162} ] } \, dtheta\\\\M = 2*\int\limits_0^\pi {[ 4375-216 -1288] } \, dtheta\\\\M = 2*\int\limits_0^\pi {[ 2871] } \, dtheta\\\\M = 5742\pi kg$

- The mass evaluated is M = 5742π

8 0

2 years ago

Here are 15 cards, numbered 1 through 15. if you pick a card, what is the probability that you choose an odd number or a two?

kondor19780726 [428]

9/15. There are 15 cards and 8 of them are odd and 1 is a 2.

5 0

3 years ago

A triangle has side lengths of (10x + 7y) centimeters, (3x + 3z) centimeters, and (8z +10y) centimeters. Which expression repres

Kay [80]

Answer:

(D) 13x + 17y + 11z

is right answer

8 0

2 years ago