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Dima020 [189]
3 years ago
12

The product of 1/2 and another factor is less than 1/2. Which could be the other factor? 4/3 4/2 5/2 3/4

Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0
The factor is 3/4.


1/2 x 3/4 = 3/8

To find out which fractions is bigger, you need to make the different denominators the same.
2x4= 8 and 1x4=4

3/8<4/8




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If cos theta is -5/13 and sin θ &lt; 0, what is tan θ ?
tensa zangetsu [6.8K]
Take the right angled triangle  with sides 13, 12 and 5. sine theta will be 12/13

When sin theta < 0 and cos theta < 0  we are in the  third  quadrant  so sin theta will be -12/13

tan theta = sin theta / cos theta  = -5/13 /  -12/13   = -5*13 / -12*13 =  5/12
 
7 0
3 years ago
-6n-20=-2n+4 (1-3n)<br> how do you solve it?
Leona [35]
6n−20=−2n+4(1−3n)

Simplify both sides of the equation.

−6n−20=−2n+4(1−3n)

−6n+−20=−2n+(4)(1)+(4)(−3n)(Distribute)

−6n+−20=−2n+4+−12n

−6n−20=(−2n+−12n)+(4)(Combine Like Terms)

−6n−20=−14n+4

−6n−20=−14n+4

Add 14n to both sides.

−6n−20+14n=−14n+4+14n

8n−20=4

Add 20 to both sides.

8n−20+20=4+20

8n=24

Divide both sides by 8.

8n/8 = 24/8

n=3

7 0
3 years ago
Read 2 more answers
Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 6z) k C is the line segment from (2, 0, −2) to (5, 4, 2) (a) Find a fun
WITCHER [35]

Answer:

Required solution (a) f(x,y,z)=xyz+3z^2+C (b) 40.

Step-by-step explanation:

Given,

F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k

(a) Let,

F(x,y,z)=yz \uvec i +xz\uvec j+(xy+6z)\uvex k=f_x \uvec{i} +f_y \uvex{j}+f_z\uvec{k}

Then,

f_x=yz,f_y=xz,f_z=xy+6z

Integrating f_x we get,

f(x,y,z)=xyz+g(y,z)

Differentiate this with respect to y we get,

f_y=xz+g'(y,z)

compairinfg with f_y=xz of the given function we get,

g'(y,z)=0\implies g(y,z)=0+h(z)\implies g(y,z)=h(z)

Then,

f(x,y,z)=xyz+h(z)

Again differentiate with respect to z we get,

f_z=xy+h'(z)=xy+6z

on compairing we get,

h'(z)=6z\implies h(z)=3z^2+C   (By integrating h'(z))  where C is integration constant. Hence,

f(x,y,z)=xyz+3z^2+C

(b) Next, to find the itegration,

\int_C \vec{F}.dr=\int_C \nabla f. d\vec{r}=f(5,4,2)-f(2,0,-2)=(52+C)-(12+C)=40

3 0
3 years ago
TJ is investing his birthday money in a savings account that pays 3% interest. If he invests $200, how much will he have at the
Furkat [3]

Answer:

A. $204.50

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
(5ab-4a-8)-(9ab-5) its an online geometry class,please help!i provided you 10 pts
Bumek [7]
(5ab-4a-8)-(9ab-5)
Ok just remember that the minus sign before the (9ab-5) is like a minus 1 so it changes the sign inside the bracket...
>>5ab-4a-8-9ab+5
>>-4ab-4a-3
I'm guessing you just have to leave it like that unless there are other parts to the question or whatever but that's that simplified as far as it can be!
7 0
3 years ago
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