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3 years ago

N- 6< -12 answer in mathematics

Mathematics

1 answer:

Stolb23 [73]3 years ago

5 0

N - 6 < -12
+6 +6
N <- 6

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A 3-column table has 1 row. The first column is labeled Age with entry 7 years. The second column is labeled Mean with entry 49

alexandr1967 [171]

Answer:

47-51

45-53

43-55

Step-by-step explanation:

6 0

3 years ago

Solve for the missing side to the nearest tenth.<br> 16<br> 30<br> X =

Mrrafil [7]

Answer: x=32

Step-by-step explanation:

Because a triangle is 180°, the missing angle in the triangle would be 60°.

Because of the 30°-60°-90° angles theorem, The side opposite 90° is double the side opposite 30°, which means that x=32.

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

Find the value of x.

Gnoma [55]

Answer:

x = 10

Step-by-step explanation:

Since the triangle is right use the sine ratio to find x

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{5}{x}$