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tensa zangetsu [6.8K]
3 years ago
15

Ross drives 340 miles in 5 hour if ross continues to drive at the same rate how many miles can he drive in 10 hours?

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
7 0
He can drive about 680 miles in 10 hours.
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Remember to show work and explain. Use the math font.
fiasKO [112]

Answer:

\large\boxed{1.\ f^{-1}(x)=3\log_5x}\\\boxed{2.\ f^{-1}(x)=\log_6(-x)}

Step-by-step explanation:

\log_ab=c\iff c=a^b\\\\\log_aa^n=n\\---------------------\\\\1.\\y=5^{\frac{x}{3}}\\\\\text{Exchange x and y}\\\\5^\frac{y}{3}=x\\\\\text{Solve for y:}\\\\5^\frac{y}{3}=x\qquad\log_5\text{of both sides}\\\\\log_55^\frac{y}{3}=\log_5x\Rightarrow\dfrac{y}{3}=\log_5x\qquad\text{multiply both sides by 3}\\\\y=3\log_5x\\---------------

2.\\y=-6^x\\\\\text{Exchange x and y:}\\\\-6^y=x\\\\\text{Solve for y:}\\\\-6^y=x\qquad\text{change the signs}\\\\6^y=-x\qquad\log_6\ \text{of both sides}\\\\\log_66^y=\log_6(-x)\Rightarrow y=\log_6(-x)

6 0
4 years ago
I’m not sure about this question can someone help me please
Ksju [112]
-10y^2
Explanation: when combining like terms everything cancels out except for -10y^2
5 0
3 years ago
Can anyone help me with these two problems? I found the distance to one. Please, assignment is due tonight. Thank you.
klasskru [66]

Answer:

  32 mi @ N77°E

Step-by-step explanation:

The route of travel forms legs of a right triangle, so the final distance (d) from harbor can be found using the Pythagorean theorem:

  d² = 28² +16² = 784 +256 = 1040

  d = √1040 ≈ 32.249 . . . miles

___

The angle (α) added to the original N47°E bearing can be found using the fact that opposite and adjacent sides are given. So, they can tell you the tangent of the angle:

  tan(α) = 16/28

  α = arctan(16/28) ≈ 29.74°

Then the bearing to the final position is ...

  47° +29.74° = 76.74°  . . . . . east of north

Rounded to whole numbers, the final position from harbor is ...

  32 miles @ N 77° E

6 0
3 years ago
Read 2 more answers
2) Jason has 48 violet balloons, he gave Joan 36 of the balloons.
AlladinOne [14]
The answer is 12
48 - 36 = 12
6 0
3 years ago
Read 2 more answers
Construct a perpendicular to<br> AB at A and at B (Hint: Extend AB)
san4es73 [151]

Answer:

draw a line above or below the figure going the same way

Step-by-step explanation:

7 0
3 years ago
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