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notsponge [240]
3 years ago
13

What is the common difference between consecutive terms in the following arithmetic sequence? 51, 47, 43, 39, ...

Mathematics
2 answers:
andriy [413]3 years ago
7 0

Answer:

tHE ANSWER IS -4 (B) BECAUSE YOU ARE TAKING AWAY FROM THE POSITIVE VALUE AND WORKING IN DESCENDING ORDER.

Step-by-step explanation:


murzikaleks [220]3 years ago
6 0

Answer: B)-4

Step-by-step explanation:

In Arithmetic sequence , the common difference is the difference between any two successive terms. It is equal throughout the sequence.

Given arithmetic sequence : 51, 47, 43, 39, ...

Here , First term = 51

Second term = 47

Then the common difference =  Second term - First term

i.e. Common difference = 47-51 =-(51-47)=-4

Hence, the common difference between consecutive terms in the following arithmetic sequence= -4

Thus , the correct answer is option B)-4 .

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15. The equation below defines z as a differentiable function of x and y. Find the value of dz/dy at the point (1, 1, 1).
MariettaO [177]

Isolate the term with z^2.

x^2 - 5y^2 + xyz^2 = y - 4 \implies xyz^2 = -x^2 + 5y^2 + y - 4

Differentiate both sides with respect to y.

\dfrac{\partial(xyz^2)}{\partial y} = \dfrac{\partial(-x^2 + 5y^2 + y - 4)}{\partial y}

By the product and chain rules,

xz^2 + 2xyz \dfrac{\partial z}{\partial y} = 10y + 1

Solve for the partial derivative, then evaluate at (x,y,z) = (1,1,1).

\dfrac{\partial z}{\partial y} = \dfrac{10y + 1 - xz^2}{2xyz}

\dfrac{\partial z}{\partial y} \bigg|_{x=1,y=1,z=1} = \dfrac{10 + 1 - 1}{2} = \boxed{5}

4 0
2 years ago
Helppp please. I’ve been stuck for days
m_a_m_a [10]

Answer:x=11

Step-by-step explanation:5 x 11= 55 + 2 = 57 and 3 x 11 = 33 and 57 + 33 = 90

3 0
3 years ago
Read 2 more answers
(50 POINTS!!) The two triangles are similar.<br><br> What is the value of x?
Kamila [148]
Place (3x + 1)/12, and (4x)/15    (Note: the bottom triangle's base is 12 + 3)

Set the two equal to each other

(3x + 1)/12 = (4x)/15

Cross multiply

15(3x +1)/12(12) = 12(4x)/15(15)

15(3x + 1) = 12(4x)

Distribute the 15 to the two terms in the parenthesis, and 12 to 4x

15(3x) = 45x
15(1) = 15
12(4x) = 48x

45x + 15 = 48x

Isolate the variable, subtract 45x from both sides

45x (-45x) + 15 = 48x (-45x)

15 = 48x - 45x

Simplify

15 = 3x

Isolate the x, divide 3 from both sides

15/3 = 3x/3

x = 15/3

x = 5


5 is your answer

hope this helps
5 0
4 years ago
(-38) + (-4) + (-50) how do I find the answer
nikdorinn [45]

Answer:

Step-by-step explanation:

(-38) + (-4) + (-50) =-38-4-50

= -92

So the answer is -92

5 0
3 years ago
F 1/4 gallon of paint covers 1/3 of a wall, then how much paint is needed for the entire wall?
antiseptic1488 [7]

0.25/0.33 = x/1

0.75757575757 gallons cover one wall




7 0
4 years ago
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