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bagirrra123 [75]
3 years ago
7

Find the volume of the pyramid

Mathematics
1 answer:
qaws [65]3 years ago
6 0

Answer:

494 cubic meteres

Step-by-step explanation:

formula: lwh/3

(12 x 13 x 9 1/2) divided by 3= 4 x 13 x 19/2 = 52 x 19/2 = 26 x 19 = 494cubic metres

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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
Check all of the expressions that are equal to the one below.
Aloiza [94]
(7-11) • (5) = -20

A. (5) • 7 + (5) • (-11)
↳ 35 + (-55)
↳ 35 - 55 = -20

B. -(-7+11) • (5)
↳ -4 • 5 = -20

C. (5) • 7 - (5) • 11
↳ 35 - 55 = -20

D. (7+11) • (5)
↳ 18 • 5 = 90

A B & C are correct
4 0
3 years ago
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Westkost [7]

Answer:

679

Step-by-step explanation:

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2 years ago
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Answer:

Point-slope form:

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This is only for the first part

6 0
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Suppose you buy lunch for the drama club. You have enough money to buy 20 salads and 15 sandwiches. The group wants 12 sandwiche
bixtya [17]
You can buy 23 salads because the group wants 12 instead of 15 15-12=3
5 0
3 years ago
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