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docker41 [41]
2 years ago
12

A cyclist travels at an average speed of 18 mph for 2 hours. How far did she travel in miles?

Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
5 0

Answer:

36

Step-by-step explanation:

18 miles per hour so for 2 hours which is double, she should have traveled 36 miles.

Good Luck!

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Assume that in the year 2019, 843,000 people attended the Christmas Eve celebration at Walt Disney World
Genrish500 [490]

Answer:

1138050

Step-by-step explanation:

Multiply 843,000 by 0.35 and then add the numbers together.

Please mark brainliest

3 0
3 years ago
As part of a screening process, computer chips must be operated in an oven at 145 °C. Ten minutes after starting, the temperatur
Novosadov [1.4K]

Answer:

Step-by-step explanation:

I solved this using initial conditions and calculus, so I hope that's what you are doing in math.  It's actually NOT calculus, just a concept that is taught in calculus.

The initial condition formula we need is

y=Ce^{kt}

Filling in our formula with the 2 conditions we are given:

65=Ce^{10k}   and   85=Ce^{15k}

With those 2 equations, we have 2 unknowns, the C (initial value) and the k (the constant). We know that the initial value (or starting temp) for both conditions is the same, so we solve for C in one equation, sub it into the other equation and solve for k.  If

65=Ce^{10k} then

\frac{65}{e^{10k}}=C which, by exponential rules is the same as

C=65e^{-10k}

Since that value of C is the same as the value of C in the other equation, we sub it in:

85=65e^{-10k}(e^{15k})

Divide both sides by 65 and use the rules of exponents again to get

\frac{85}{65}=e^{-10k+15k} which simplifies down to

\frac{85}{65}=e^{5k}

Take the natural log of both sides to get

ln(\frac{85}{65})=5k

Do the log thing on your calculator to get

.2682639866 = 5k and divide both sides by 5 to find k:

k = .0536527973

Now that we have k, we sub THAT value in to one of the original equations to find C:

65=Ce^{10(.0536527973)}

which simplifies down to

65=Ce^{.536527973}

Raise e to that power on your calculator to get

65 = C(1.710059171) and divide to solve for C:

C = 38.01038064

Now sub in k and C to the final problem when t = 23:

y=38.01038064e^{(.0536527973)(23)} which simplifies a bit to

y=38.01038064e^{1.234014338}

Raise e to that power on your calculator to get

y = 38.01038064(3.434991111) and

finally, the temp at 23 minutes is

130.565

6 0
3 years ago
Find the area of a triangle with a base (b) of 7 feet and a height (h) of 12 feet.
siniylev [52]

Answer:


Step-by-step explanation:

Area = 1/2 × base × height

Base(b) = 7 feet

Height(h) = 12 feet

Area = 1/2 × 7 × 12 = 7 × 6 = 42 feet²

6 0
3 years ago
You need 8 oz of red paint and 12 oz of blue paint to make purple paint. How much red paint is needed for 15 oz of blue paint?
olga2289 [7]

Answer:

10oz

Step-by-step explanation:

Solve

<h2>\frac{8}{12} = \frac{x}{15}</h2><h2>x=10</h2><h2></h2>
4 0
3 years ago
John is 5 years younger than three times his brother’s age. If the sum of their
torisob [31]

Answer:

I think 10

Step-by-step explanation:

8 0
1 year ago
Read 2 more answers
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