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Anika [276]
3 years ago
8

-3k+6=10+k solve with steps please

Mathematics
2 answers:
Artemon [7]3 years ago
4 0

Answer:

k = -1

Step-by-step explanation:

-3k + 6 = 10 + k

combine similar terms:

-3k - k = 10 - 6

simplify:

-4k = 4

simplify:

k = 4 / -4

k = -1

Sphinxa [80]3 years ago
3 0

Answer:

-1=K

Step-by-step explanation:

You take the -3k and add 3k to both sides to get 6=10+4k, Then you take 10 away on both sides to get -4=4k, finally you divide 4 on both sides to get the variable (k) by itself so your answer is -1

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A volume of the cone is (1/3) the volume of a cylinder. The volume of the sphere is what fraction of the volume of the cylinder?
xenn [34]

Answer:

4/3

Step-by-step explanation:

To know this, let's write down the formulas for the volume of cylinder and sphere.

Vs = 4/3πr³   (1)

Vc = π r² h    (2)

Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:

Vs / Vc = 4πr³ / 3πr²h

Vs/Vc = 4πr³ / 3πr³

From here, we can cancel out the values of π and r³:

Vs/Vc = 4/3

<h2>Vs = 4/3 Vc</h2>

Thus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.

Hope this helps

8 0
3 years ago
Can u help me plz ?
natita [175]

Answer:

82 grams

Step-by-step explanation:

each rubber band weighs 3 grams because when 2 bands were added to 88 grams it went up 6 grams and six divided by 2 equals 3.

8 0
3 years ago
Help asap with Arcs! 30 Points
alexira [117]
The answer is 15

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so we can find EF by making an equation:
3x + 5 = x + 35 \\ 3x - x = 35 - 5 \\ 2x = 30 \\ x = \frac{30}{2} = 15

so EF is = 3(15)+5=50
good luck
6 0
3 years ago
Find the general solution of the given differential equation. x2y' + xy = 8 y(x) = give the largest interval over which the gene
topjm [15]
x^2y'+xy=8
xy'+y=\dfrac8x
(xy)'=\dfrac8x\implies xy=8\ln|x|+C\implies y=\dfrac{8\ln|x|}x+\dfrac Cx

which wouldn't be a valid solution over any interval containing x=0.
5 0
3 years ago
Find ????⋅ ???? if |????|=3 , |????|=9 , and the angle between ???? and ???? is π2 radians.
mrs_skeptik [129]

Answer:

a{\cdot}b=0

Step-by-step explanation:

It is given that,

Magnitude of a A, |A|=3

magnitude of B, |B|=9

The angle betwern a and b is \dfrac{\pi}{2}\ rad=90^{\circ}

Dot product,

a{\cdot} b=|a||b|\ \cos\theta\\\\a{\cdot} b=3\times 9\times \ \cos(90)\\\\a{\cdot} b=0

So, a.b is equal to 0.

5 0
3 years ago
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