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hodyreva [135]
3 years ago
6

Find the exact solution to the equation. Show your work for credit. (1 point) four to the power of quantity twelve minus four x

equals two hundred and fifty six.
Mathematics
1 answer:
padilas [110]3 years ago
7 0
4^(12-4x)=256  realize that 256 is 4^4  so we really have:

4^(12-4x)=4^4  taking the natural log of both sides

(12-4x)ln4=4ln4  dividing both sides by ln4

12-4x=4  subtract 12 from both sides

-4x=-8  divide both sides by -4

x=2


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The picture is above.
vladimir2022 [97]

Answer: =x4+3x3+2x2−4

Step-by-step explanation:

(x2+3x+2)(x2)−4

Distribute:

=(x2)(x2)+(3x)(x2)+(2)(x2)+−4

=x4+3x3+2x2+−4

6 0
2 years ago
Dylan delivers parcels.
vovikov84 [41]

Answer:

Dylan delivered 140 parcels on Wednesday.

Step-by-step explanation:

On Wednesday:

On Wednesday, he delivered x parcels.

Thursday:

10% more than Wednesday, so 100 + 10 = 110% of x = 1.1x

Friday:

50% pless than on Thursday, so 100 - 50 = 50% of 1.1x = 0.5*1.1*x.

THis is equals to 77. So

0.5*1.1x = 77

x = \frac{77}{0.5*1.1}

x = 140

Dylan delivered 140 parcels on Wednesday.

5 0
3 years ago
Round to the nearest tenth.
laila [671]

Answer:

8.2 units

Step-by-step explanation:

Given that the only information for our triangle are 2 sides and 1 angle, we must use the Law of Cosines to find side BC

<u />

<u>Recall the Law of Cosines</u>

<u />a^2=b^2+c^2-2bc\cdot cos(A)

<u>Identify angles and sides</u>

<u />m\angle A=23^\circ\\a=BC=?\\b=AC=14\\c=AB=6

<u>Solve for side "a"</u>

<u />a^2=b^2+c^2-2bc\cdot cos(A)\\\\a^2=14^2+6^2-2(14)(6)\cdot cos(23^\circ)\\\\a^2=196+36-168cos(23^\circ)\\\\a^2=222-168cos(23^\circ)\\\\a=\sqrt{222-168cos(23^\circ)}\\ \\a\approx8.2

Therefore, the length of line segment BC is about 8.2 units

8 0
2 years ago
Which of the following is equivalent to 2-47
lara31 [8.8K]

Answer:

45

Step-by-step explanation:

2 minus 47 equals 45 if that's what your talking about

7 0
3 years ago
Which matrix can be multiplied to the left of a vector matrix to get a new vector matrix ?
oksano4ka [1.4K]

Answer:  The answer is (B).


Step-by-step explanation:  We are given four options and we are to select which matrix can be multiplied to the left of a vector matrix to get a new vector matrix. The order of a vector matrix is either n × 1  or  1 × n.

For (A): The order of the matrix is 2 × 1. If we multiply this matrix by a vector matrix of order 1 × 2, then the resulting matrix will be of order 2 × 2, which is not a vector matrix.

For (B): The order of the matrix is 3  × 2. If we multiply this matrix by a vector matrix of order 2 × 1, then the resulting matrix will be of order 3 × 1, which is a new vector matrix.

For (C): The order of the matrix is 2  × 2. If we multiply this matrix by a vector matrix of order 2 × 1, then the resulting matrix will be of order 2 × 1, which is a vector matrix of order same as before.

For (D): The order of the matrix is 1  × 2. If we multiply this matrix by a vector matrix of order 2 × 1, then the resulting matrix will be of order 1 × 1, which is a not vector matrix.

Thus, the correct option is (B).

5 0
3 years ago
Read 2 more answers
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