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3 years ago

Determine if the sequence below is arithmetic or geometric and determine the

Mathematics

1 answer:

Amanda [17]3 years ago

6 0

Answer:

Step-by-step explanation:

Each term in the sequence is 4 less than the previous term. That indicates an arithmetic sequence, which has the form a(n) = a(1) + d(n -1), where d is the common difference. Here the common difference is -4, and so the appropriate sequence is

a(n) = 14 - 4(n - 1)

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Find the volume of this sphere Please help..

cestrela7 [59]

Answer:

Answer can be found with the help of a calculator.

Step-by-step explanation:

Volume of sphere = 4/3 × pi × 3ft³

= Answer

5 0

3 years ago

F=e−yi−xe−yj is conservative. find a scalar potential f and evaluate the line integral over any smooth path c connecting a(0,0)

Alexxx [7]

If $\mathbf F$ is conservative, then there is a scalar function $f$ such that

$\nabla f(x,y)=\mathbf F(x,y)\iff\dfrac{\partial f}{\partial x}\,\mathbf i+\dfrac{\partial f}{\partial y}\,\mathbf j=e^{-y}\,\mathbf i-xe^{-y}\,\mathbf j$

Setting the first components equal to one another, we can integrate both sides to find

$\dfrac{\partial f}{\partial x}=e^{-y}\implies f(x,y)=xe^{-y}+g(y)$

Differentiating both sides with respect to $y$ gives

$\dfrac{\partial f}{\partial y}=-xe^{-y}+\dfrac{\mathrm dg}{\mathrm dy}=-xe^{-y}$
$\implies\dfrac{\mathrm dg}{\mathrm dy}=0$
$\implies g(y)=C$

so that

$f(x,y)=xe^{-y}+C$

By the fundamental theorem of calculus, we have that

$\displaystyle\int_{\mathcal C}\mathbf F\cdot\mathrm d\mathbf r=\int_{\mathcal C}\nabla f\cdot\mathrm d\mathbf r=f(1,1)-f(0,0)=\frac1e$

4 0

3 years ago

I'm am very confused with this question.

stich3 [128]

Answer:

103°

Step-by-step explanation:

This is a cyclic quadrilateral (all vertices on the same circle)

Opposite angles are supplementary:

∠A + ∠C = 180°
∠B + ∠D = 180°

Find x:

x + 5 + x - 7 = 180°
2x - 2 = 180°
2x = 182°
x = 91°

Find D:

∠D = x - 14°
∠D = 91° - 14° = 77°

Find B:

∠B = 180° - 77° = 103°

6 0

3 years ago

8 minutes after midnight please write this in Analog format

tia_tia [17]

Answer:

00h08

Step-by-step explanation:

eight minutes passed twelve

4 0

3 years ago

Read 2 more answers

Suppose ΔΔCED ≅≅ ΔΔDBC. If m∠∠EDC = 630 and m∠∠DBC = 820, what is m∠∠DCE

valina [46]

63+82+m∠DCE=180
145+m∠DCE=180
m∠DCE=35

7 0

3 years ago