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Ganezh [65]
2 years ago
13

512=-4(-2)^n-1 find n in geometric sequence

Mathematics
2 answers:
iragen [17]2 years ago
5 0

Answer:

n = 8

Step-by-step explanation:

Rearrange the equation to find n:

512/-4 = (-2)^{n-1}

-128 = (-2)^{n-1}

(-2)^{7} = -128

So, n-1 = 7

n = 8

pshichka [43]2 years ago
3 0

Answer:

n = 8

Step-by-step explanation:

512/-4 = -128

-2^? equals -128? Has to be odd since it's negative

-2^1 = -2

-2^3 = -8

-2^5 = -32

<u>-2^7 = -128</u>

But it's -2^n-1 = -128 so you have to add 1

7+1 = 8

So n=8

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kodGreya [7K]
Since she drove 60.8miles per hour(182.4÷3=60.8)
then she would drive 668.8 miles in 11 hours
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3 years ago
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Solve for X y and z brainliest Round to nearest tenth
kykrilka [37]

Answer:

x=1

Z=35.4965

assuming you want y to be the height, y=5.916

Step-by-step explanation:

x/height=height/35

35x=y^2

using Pythagorean theorem

y^2+x^2=6^2

y^2+35^2=z^2

substituting for y^2

35x+x^2=6^2

x^2+35x-36=0

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x=1

y^2+x^2=6^2

substitute

y^2+1=36

y^2=35

y=5.916

y^2+35^2=z^2

substitute

35+1225=z^2

z^2=1260

z=35.4965

4 0
2 years ago
in a recent survey 15% of online shoppers in the united states say that they prefer to do business only with large well-known re
sveta [45]
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3 years ago
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Find the first partial derivatives of the function f(x,y,z)=4xsin(y−z)
Amanda [17]

Answer:

f_x(x,y,z)=4\sin (y-z)

f_x(x,y,z)=4x\cos (y-z)

f_z(x,y,z)=-4x\cos (y-z)

Step-by-step explanation:

The given function is

f(x,y,z)=4x\sin (y-z)

We need to find first partial derivatives of the function.

Differentiate partially w.r.t. x and y, z are constants.

f_x(x,y,z)=4(1)\sin (y-z)

f_x(x,y,z)=4\sin (y-z)

Differentiate partially w.r.t. y and x, z are constants.

f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)

f_y(x,y,z)=4x\cos (y-z)

Differentiate partially w.r.t. z and x, y are constants.

f_z(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial z}(y-z)

f_z(x,y,z)=4x\cos (y-z)(-1)

f_z(x,y,z)=-4x\cos (y-z)

Therefore, the first partial derivatives of the function are f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z).

4 0
3 years ago
Gerri spends 1/21 of her money on pencils and 2/21 on paper. What fraction of her money does she spend. Give the answer in simpl
BigorU [14]

Answer:

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Step-by-step explanation:

If Gerri spends 1/21 of her money on pencils and 2/21 of her money on paper, adding these two fractions together will give us the total fraction of her money that she spent.  Since 1/21 and 2/21 have the same denominator, we can add the numerators to get 3/21.  However, fractions must always be in simplest form, meaning if the numerator (top number) and denominator (bottom number) can both be divided evenly by the same factor, then the fraction can be simplied to lower numbers.  In this case the number 3 and the number 21 can both be divided evenly by 3:  (3÷3)/21÷3) = 1/7.

3 0
3 years ago
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