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AnnyKZ [126]
3 years ago
15

Solve the equation: 10y-7=27

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
8 0

Answer:

10y=27+7

10y=34

y=34/10

y=3.4

Step-by-step explanation:

Firstly 7 is added to 27

Then adding 7 and 27

Dividing 34 by 10

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Complete factorization of x^3 - 4x^2 + x - 4
Pachacha [2.7K]

Step-by-step explanation:

x³ - 4x² + x - 4

= x²(x - 4) + (x - 4)

= (x² + 1)(x - 4).

Since the quadratic factor (x² + 1) is irreducible any further, this is our answer.

3 0
3 years ago
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Please help, thanks a lot! :)
Darina [25.2K]

Answer:

I believe the answer is A. 17, 17, 13, 28, 28, 26, 37, 35

4 0
3 years ago
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What is the value of x?
m_a_m_a [10]

Answer :

98°

Step by step explanation :

As we can see in figure,

∠F = 53°

∠H = 45°

So,

\:\mathsf{∠FGH\: +\: ∠GHF \:+ \:∠HFG\: = \:180°}

[Angle sum property, which states that the sum of all the angles of a triangle is 180°]

=> ∠FGH + 45° + 53° = 180°

=> ∠FGH = 180° - 98°

=> \:\bf\boxed{∠FGH\: =\:82°}

Now,

∠x + ∠FGH = 180°

[linear pair]

=> ∠x = 180° - 82°

=> \:\bf\boxed{∠x\: =\:98°}

<h2><u>Alternative Method :</u></h2>

We know that sum of two opposite interior angles is equal to the exterior angle.

So

∠x = ∠GHF + ∠HFG.

=> ∠x = 45 ° + 53°

=> \:\bf\boxed{∠x\: =\:98°}

Hope this helps!

6 0
2 years ago
2 x 10 to the 3rd power standard form
cricket20 [7]
2 x 10 to the 3rd power is
2x10^3
5 0
3 years ago
A 10-pound block of ice melts at a rate of 3% per hour. Find the weight of the block of ice after 1 day.
mylen [45]

Answer:

The weight of the block of ice after 1 day is of 4.81 pounds.

Step-by-step explanation:

Equation for exponential decay:

The equation that models an amount after t hours, subject to exponential decay, is given by:

A(t) = A(0)(1 - r)^t

In which A(0) is the initial amount and r is the decay rate, as a decimal.

A 10-pound block of ice melts at a rate of 3% per hour.

This means that A(0) = 10, r = 0.03

So

A(t) = A(0)(1 - r)^t

A(t) = 10(1 - 0.03)^t

A(t) = 10(0.97)^t

Find the weight of the block of ice after 1 day.

One day has 24 hours, so this is A(24).

A(24) = 10(0.97)^{24} = 4.81

The weight of the block of ice after 1 day is of 4.81 pounds.

6 0
3 years ago
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