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kvasek [131]
2 years ago
5

A downhill skier was able to move 560 meters in 25 seconds. What is the skier’s average speed? (Round your answer to the nearest

tenth of a meter per second.)
Mathematics
1 answer:
salantis [7]2 years ago
6 0
Average speed is the total distance traveled by an object at a certain period of time. To calculate for the average speed we divide the total distance covered by the total time. We do as follows:

Average speed = 560 meters / 25 seconds = 22.4 m/s
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A young couple purchases their first new home in 2002 for $120,000. They sell it to move into bigger home in 2007 for $150,000.
Fed [463]

Answer:

The exponential model for the value of the home is V(t)=120000e^{0.045t}.

Step-by-step explanation:

According to the give information 2002 is the initial year and the value of the hom in 2002 is $120,000.

The model will have the form

V(t)=V_0e^{kt}

Where V₀ is initial value of home, k is a constant and t is number f years after 2002.

V(t)=120000e^{kt}

The value of home in 2007 is $150,000. Difference between 2007 and 2002 is 5 years. Therefore the value of function is 150000 at t=5.

150000=120000e^{k(5)}

\frac{150000}{120000}=e^{5k}

\frac{5}{4}=e^{5k}

Take ln both sides.

ln(\frac{5}{4})=lne^{5k}

ln(\frac{5}{4})=5k                    (lne^a=a)

\frac{ln(\frac{5}{4})}{5}=k

k=0.04462871\approx 0.045

Therefore exponential model for the value of the home is V(t)=120000e^{0.045t}.

Where t is number of years after 2002.

7 0
2 years ago
Read 2 more answers
Leonard made some muffins. He gave 5/8 of them to his grandmother and 10 muffins to his aunt. He had 11 muffins left. How many m
elena55 [62]
<span>Leonard made some muffins. He gave 5/8 of them to his grandmother and 10 muffins to his aunt. He had 11 muffins left. How many muffins did he have at first?

If you take 10 and 11 and add, then you'll have 3/8 of the muffins, so 21/3 is 7 and 7*8 is 56, so you'll have 56 muffins to start. and Leonard gave 35 to his grandmother.</span>
4 0
2 years ago
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The value of x in logx(9/63)=1/2 is​
fenix001 [56]

Answer: x = 7/2

Step-by-step explanation: u juss simplify 1/2 x 7 to 7/2 so x = 7/2

8 0
2 years ago
Calculate the value of x to one decimal place. inches
kakasveta [241]

Use the law of cosines: c^2=a^2+b^2-2ab\cos C

We have:

c=x\\a=3in\\b=7in\\C=54^o

substitute:

\cos54^o\approx0.5878\\\\c^2=3^2+7^2-2\cdot3\cdot7\cdot0.5878\\\\c^2=9+49-24.6876\\\\c^2=33.3129\to c=\sqrt{33.3129}\\\\c\approx5.8

5 0
2 years ago
A ferry will safely accommodate 68 tons of passenger cars. Assume that the mean weight of a passenger car is 1.8 tons with stand
nika2105 [10]

Answer:

P (Z

Step-by-step explanation:

We want the probability that the 35 cars are loaded onto the ferry. Therefore:

Since  

μ=1.8  and  σ=0.5  we have:

P(X<35 )=P ( X−μ<35−1.8 )=P((X−μ)/σ<(35−1.8)/0.5)

Since  

(x−μ)/σ=Z and  

(35-1.8)/0.5=66.4

we have:

P (X

Use the standard normal table to conclude that:

P (Z

7 0
2 years ago
Read 2 more answers
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