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xz_007 [3.2K]
3 years ago
6

You can buy an 8-pack of paper towels for $8.40 or a 12-pack for $12.36. Which is the better buy?

Mathematics
1 answer:
mixas84 [53]3 years ago
4 0

Answer: 12 pack

Step-by-step explanation:

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James notes the angle of elevation of the top of tower to be 30 degree if James is 100meter away horizontally from the base of t
noname [10]

Answer:

h = 57.73 m

Step-by-step explanation:

We have,

The angle of elevation of the top of tower to be 30 degree

James is 100 m away horizontally from the base of the tower.

It is required to find the height of the tower.

Here, angle is 30 degree

Base, b = 100 m

Let h is the height of the tower. The relation between base and height is given by :

\tan\theta=\dfrac{h}{b}\\\\h=b\times \tan\theta\\\\h=100\times \tan(30)\\\\h=57.73\ m

So, the height of the tower is 57.73 m.

3 0
3 years ago
If y=e5t is a solution to the differential equation
a_sh-v [17]

Answer:

k = 30, y(t) = C_1e^{5t}+C_2e^{6t}

Step-by-step explanation:

Since y=e^{5t} is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

\frac{d^2y}{dt^2} = 25 e^{5t},\frac{dy}{dt} = 5e^{5t}

Then, replacing the derivatives in the equation we have:

25e^{5t}-11(5)e^{5t}+ke^{5t}=0 e^{5t}(25-55+k) =0

Since e^{5t} is a positive function, we have that

25-55+k = 0 \rightarrow k = 30.

Now, consider a general solution y(t) = Ae^{rt}, A \in \mathbb{R}, then, by calculating the derivatives and replacing them in the equation, we get

Ae^{rt}(r^2-11r+30)=0

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.

Therefore, the general solution is

y(t) = C_1e^{5t}+C_2e^{6t}

8 0
3 years ago
A train traveled 360 miles in 6 hours. how many miles per hour did the train travel?
quester [9]
The train traveled 60 miles per hour since 360 miles divided by 6 hours gives you 60 mph
5 0
3 years ago
Read 2 more answers
What is the missing constant term in the perfect square that starts with x 2 − 16 x
OlgaM077 [116]

Explanation:

Divide the negative 16 by 2= -8

Then square -8

So the missing constant is 64

The perfect square would be (x-8)^2

7 0
3 years ago
What is another way to write 4 hundreds?
lyudmila [28]
4 hundreds = 4 100s = 4(100) = 400
400 is another way for writing four hundreds.
Hope this helps!
7 0
3 years ago
Read 2 more answers
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