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Stella [2.4K]
3 years ago
15

Please help me with this

Mathematics
1 answer:
elena-s [515]3 years ago
4 0

Answer:

9 p.m.

Step-by-step explanation:

Lowest common multiple (LCM) of 6 and 4.

LCM of 6, 4 = 2 × 2 × 3 = 12

After 12 hours 9 A.M. = 9 P.M.

After 12 hours at 9 P.M. she will take both medicines together again.

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3 years ago
4/9 is in lowest terms.<br><br> A. True<br> B. False
vodomira [7]

Step-by-step explanation:

4/9 is in lowest terms because it does not have any other common factor , other than 1 so it can't be reduced more .

A. True

5 0
3 years ago
Read 2 more answers
Evaluate the integral Integral ∫ from (1,2,3 ) to (5, 7,-2 ) y dx + x dy + 4 dz by finding parametric equations for the line seg
n200080 [17]

\vec F(x,y,z)=y\,\vec\imath+x\,\vec\jmath+3\,\vec k

is conservative if there is a scalar function f(x,y,z) such that \nabla f=\vec F. This would require

\dfrac{\partial f}{\partial x}=y

\dfrac{\partial f}{\partial y}=x

\dfrac{\partial f}{\partial z}=3

(or perhaps the last partial derivative should be 4 to match up with the integral?)

From these equations we find

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

\dfrac{\partial f}{\partial y}=x=x+\dfrac{\partial g}{\partial y}\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)

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

\dfrac{\partial f}{\partial z}=3=\dfrac{\mathrm dh}{\mathrm dz}\implies h(z)=3z+C

f(x,y,z)=xy+3z+C

so \vec F is indeed conservative, and the gradient theorem (a.k.a. fundamental theorem of calculus for line integrals) applies. The value of the line integral depends only the endpoints:

\displaystyle\int_{(1,2,3)}^{(5,7,-2)}y\,\mathrm dx+x\,\mathrm dy+3\,\mathrm dz=\int_{(1,2,3)}^{(5,7,-2)}\nabla f(x,y,z)\cdot\mathrm d\vec r

=f(5,7,-2)-f(1,2,3)=\boxed{18}

8 0
3 years ago
Find the area of the triangle. Round your answer to the nearest tenth.
Crank

Answer:

c. 165.6 cm²

Step-by-step explanation:

We are given two sides of a triangle and an included angle. To find the area, we would apply the following formula:

Area = ½*b*c*Sin(A)

b = 25 cm

c = 25 cm

A = 32°

Area = ½*25*25*Sin(32)

Area = 165.59977

Area ≈ 165.6 cm² (nearest tenth)

8 0
3 years ago
The angle measures of a triangle are shown in the
Levart [38]
Answer: 30

Reason: you divide 60=2x which makes x=30
8 0
2 years ago
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