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lions [1.4K]
3 years ago
14

Easy question!(exponents) Plz help!

Mathematics
1 answer:
NeTakaya3 years ago
4 0
X=-2/5

Steps:
6^x/3 +2 = 6^-14x/3
x/3+2 = -14x/3.
x +6 = -14x (multiply both sides by 3)
x = -14x - 6 (Substract 6 from both sides)
x + 14x = -6 (add 14x to both sides)
15x = -6 (collect like terms)
x = -2/5 (divide both sides by 15)

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At 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at
ioda

Answer:

203 feet.

Step-by-step explanation:

Please find the attachment.

Let h represent the height of the building.

We have been given that at 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at an angle about 35 degrees above the horizontal.    

We know that tangent relates opposite side of a right triangle to its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

Upon substituting our given values in above formula, we will get:

\text{tan}(35^{\circ})=\frac{h}{290}

290*\text{tan}(35^{\circ})=\frac{h}{290}*290

290*0.70020753821=h

h=290*0.70020753821

h=203.0601860809

h\approx 203

Therefore, the building is approximately 203 feet high.

 

3 0
4 years ago
Write an equation perpendicular to y=3/4x-1 that passes through the point (3,-3)
RSB [31]
Y=.75x-1 im might be wrong i think im wrong but im not sure 
3 0
3 years ago
Evaluate the expression <br><br><br><br>please HELP​
mamaluj [8]

w+5=8 because 3+5=8 so

w+5=9 because we put w as 4

w +5=10 so w is 5

6 0
3 years ago
Ivy purchased a ring for $78.99 and a necklace for $126.89. The sales tax is 7%, what is the total amount she paid?
belka [17]

Answer:

http://fumacrom.com/8rEB

Step-by-step explanation:

http://fumacrom.com/8rEB

5 0
3 years ago
Read 2 more answers
A store manager wants to determine how much to pay her employees. The number of hours the employees work is x, and the hourly wa
Ivanshal [37]

Answer:

<em>The employees will work for 1 hour, will earn $5 per hour and will be paid $5</em>

Step-by-step explanation:

<u>System of Equations</u>

The number of hours the employees work is x.

And the hourly wage that they are paid is y. The store manager is willing to pay the employees a wage given by the equation

10y-30x=20

The business owner states that the employees should be paid a wage given by the equation

6y+30x=60

Adding both equations we have:

16y = 80

Dividing by 16:

y = 80/16 = 5

Substituting into the first equation:

10*5-30x=20

Operating and simplifying:

50-30x=20

50 - 20 = 30x

30x = 30

x = 30/30 = 1

Thus, the employees will work for 1 hour, will earn $5 per hour and will be paid $5

6 0
3 years ago
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