Answer:
x = 26.5
Step-by-step explanation:
Step 1: Write equation
(t + 10.5) + 2t + 90 = 180
Step 2: Solve for <em>t</em>
<u>Combine like terms:</u> 3t + 100.5 = 180
<u>Subtract 100.5 on both sides:</u> 3t = 79.5
<u>Divide both sides by 3:</u> t = 26.5
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
<u>Substitute:</u> (26.5 + 10.5) + 2(26.5) + 90 = 180
<u>Parenthesis:</u> 37 + 56 + 90 = 180
<u>Add:</u> 180 = 180
∴ x = 26.5
79 ft/s = 0.0240792 km/s
0.0240792 x 60 = 1.444752 km/minute
<span>1.444752 x 60 = </span><span>86.68512 km/hour
</span>
Ans: 86.69 km/h
The answer is choice D
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Explanation:
We can rule out choice B and choice C which are y = 2.4^x and y = 3.5^x respectively. Why can we eliminate these? Because they are growth functions (the bases are larger than 1). The graph shown is a decay function. It goes downhill as you read it from left to right.
The answer is either choice A or choice D
If we plug in x = -2 into the equations for A and D, we get
y = 0.65^x = 0.65^(-2) = 2.36686
y = 0.32^x = 0.32^(-2) = 9.765625
The result for choice D is much closer to what the graph is showing. The graph appears to have the point (-2,11) on the curve. So that's why choice D is the best answer.
Note: the graph is a bit small and its not entirely clear which points are on this graph other than (0,1). So this is a bit of educated guesswork.
Answer:
width = 115 cm
Step-by-step explanation:
width² = 277² - 252²
width² = 76729 - 63504 = 13225
width = 115 cm
