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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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In a book shop, there are 12 new books on a table. 7 of the books are fiction and the rest are non-fiction. What fraction of the
3241004551 [841]

Answer:

Hi, hows life going?

Step-by-step explanation:

8 0
3 years ago
The complement of an angle is one-sixth the measure of the supplement of the angle. What is the measure of the complement angle?
cestrela7 [59]

Answer:

The measure of the complement angle is 18\°

Step-by-step explanation:

Let

x-----> the angle

we know that

The complement of an angle is equal to (90-x)\°

The supplement of an angle is equal to (180-x)\°

we have

The complement of an angle is one-sixth the measure of the supplement of the angle

(90-x)\°=(1/6)(180-x)\°

solve for x

(540-6x)\°=(180-x)\°

(6x-x)=(540-180)\°

(5x)=(360)\°

x=72\°

Find the measure of the complement angle

(90-x)\° ------> (90-72)=18\°

7 0
3 years ago
Read 2 more answers
780<br> 56°<br> (100°<br> (x + 48)°
Marta_Voda [28]

Answer:

The Question is Incomplete still What i understood I let you Explain.

x = 78°  

Step-by-step explanation:

Let

m∠ A = 78°

m∠ B = 56°

m∠ C = 100°

m∠ D = (x + 48)°

Be angles of Quadrilateral.

To Find:

x = ?

Solution:

Property of a Quadrilateral sum of the measures of the angle is 360°.

∴ m∠ A + m∠ B + m∠ C + m∠ D =  360°

Substituting above given values we get

∴ 78° +56° + 100° + ( x + 48° ) = 360°

∴ x + 282° = 360°

∴ x = 360° - 282°

∴ x = 78°     ........... which the required answer

4 0
3 years ago
Your school counselor has given you clear directions that you and your best friend should not be seen within 240 feet of each ot
FrozenT [24]

Answer:

1. 80 yd

2. 10 and 10 of the other side

3. yes

Step-by-step explanation:

1. As we were asked to stay 240 feet away, and we will be on a soccer field and it has marked distances in yards we just have to pass our feet to yards.

1 ft = 1/3 yd

240 ft = 240/3 yd

240 ft =  80 yd

2. one would have to stand in yard 10 and the other in yard 10 but from the other side of the field

50-10 = 40

40 + 40 = 80 yd

3.  

if they are diagonally the distance will be greater than 80, since the yards are parallel, because only the distance would remain only if they are on the same height

5 0
3 years ago
The graph of y=-3x+ 2 is:
Mariulka [41]
Your equation is already in one of the standard form. Specifically, the slope intercept form.

y=mx + b.

m is the slope, b is the intercept.

Start with the intercept y= 2, the point (0,2).

A slope of 3 would give you (1,5) as a second point for your line.

Get a ruler and draw a line through the two points.
6 0
2 years ago
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