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professor190 [17]
2 years ago
5

Solve the inequality. 2(4 + 2x) ≥ 5x + 5?

Mathematics
1 answer:
dedylja [7]2 years ago
8 0

Answer: x\leq3

Step-by-step explanation:

The given inequality : 2(4+2x)\geq5x+5

To solve the above inequality, first we need to multiply 2 inside the bracket by using distributive property in left side, we get

8+4x\geq5x+5

Now, Subtracting 4x and 5 on the both sides of the inequality, we get

8+4x-4x-5\geq5x+5-4x-5\\\\\Rightarrow\ 3\geq x

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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
Sav [38]

Answer:

10.12 m^{3}

Step-by-step explanation:

Given:

  • 0.07 cm thick = 0.007m and it is dr (the change in radius)

As we know that, the volume of a hemispherical dome with diameter 48 m is:

  • V = \frac{2}{3} πr^{3}

Take the derivative of V we have:

\frac{dV}{dr} = 2πr^{2}  

<=> dV = 2πr^{2}*dr

<=> dV = 2π*48^{2} *0.0007 = 10.12 m^{3}

Hope it will find you well.

6 0
2 years ago
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Consider the diagram.<br> What is QS?<br> 2 units<br> 5 units<br> 17 units<br> 33 units
blagie [28]

Answer:

The answer on ed is 17 units I took the test.

Step-by-step explanation:

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“there are several approximations used for pi, including 3.14 and 22/7. pi is approximately 3.14159265358979..." a. label pi and
BlackZzzverrR [31]
Hello,

a) | |PA|-π |>| |PB|-π | (see pic)

c) 3.14< x/113 <=π <22/7

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6 0
2 years ago
Round 15,680 to the nearest thousand
nekit [7.7K]
To round to the nearest thousand, we check the digit in the hundreds place. If it is less than 5, we round down, else we round up to the next thousand.

In this case, the digit in the hundreds place is "6" and "6" is 5 or more, so we round up to the next thousand.

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2 years ago
Prove algebraically that the recurring decimal 0.472 can be written as<br> 17<br> 36
Katen [24]

Given:

The recurring decimal is 0.47\overline{2}.

To prove:

Algebraically that the recurring decimal 0.47\overline{2} can be written as \dfrac{17}{36}.

Proof:

Let,

x=0.47\overline{2}

x=0.472222...

Multiply both sides by 100.

100x=47.2222...     ...(i)

Multiply both sides by 10.

1000x=472.2222...        ...(ii)

Subtract (i) from (ii).

1000x-100x=472.2222...-47.2222...

900x=425

Divide both sides by 900.

x=\dfrac{425}{900}

x=\dfrac{17}{36}

So, 0.47\overline{2}=\dfrac{17}{36}.

Hence proved.

8 0
2 years ago
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