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3 years ago

2x-10= -6 what is x i need help fast

Mathematics

1 answer:

larisa86 [58]3 years ago

8 0

Answer: 2

Step-by-step explanation: add 10 to both sides so -10+10=0 and -6+10=4

then you have 2x=4 simplify

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If (x-10) is a factor of the polynomial P(x), which of the following do we know to be true?

Anon25 [30]

Answer:

Option 3, p(0) = -10

Option 4, p(10) = 0

Step-by-step explanation:

Step 1: Check

x - 10 + 10 = 0 + 10

x = 10

f(0) = 0 - 10 = -10

x = -10

p(10) = 0

Answer: Option 3, p(0) = -10, Option 4, p(10) = 0

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3 years ago

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Use differentials to estimate the amount of paint needed to apply a coat of paint 0.07 cm thick to a hemispherical dome with dia

Mademuasel [1]

An hemispherical dome is half a sphere. If the diameter is 60 m, then the radius is 30 m.

We can use differentials to solve this problem because we are adding a thin layer to the original dome, so the volume of the dome in increased by a differential of itself.

This differential volume that the dome is increased is equal to the volume of the coat of paint.

The volume of the dome can be written as:

$\begin{gathered} V=\frac{4\pi}{3}r^3 \\ \frac{dV}{dr}=\frac{4\pi}{3}\cdot3r^2\Rightarrow dV=\frac{4\pi}{3}\cdot3r^2\cdot dr=4\pi r^2\cdot dr \end{gathered}$

Now, we can calculate dV as:

$\begin{gathered} dV=4\pi r^2\cdot dr \\ dV\approx4\cdot3.14\cdot(30m)^2\cdot0.07\operatorname{cm}\cdot\frac{1m}{100\operatorname{cm}} \\ dV\approx12.57\cdot900m^2\cdot0.0007m \\ dV\approx7.92m^3 \end{gathered}$

Answer: the paint needed for this coat is approximately 7.92 m^3

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1 year ago

How many 5-digit numbers can be formed out of the digits 0, 1, 2, 3, and 4? Identify whether the situation involves combinations

emmainna [20.7K]

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Step-by-step explanation: permutation is different from combination because in a permutation the order you put it in matters. in a combination any order is fine. So there is only one combination you can make with these numbers, but there is 120 permutation you can make.

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mamaluj [8]

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