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vova2212 [387]
3 years ago
12

Pleas help due to night​

Mathematics
2 answers:
schepotkina [342]3 years ago
8 0

Answer:

40.9 mm

Step-by-step explanation:

116.9 - (35.1 + 40.9) = 116.9 - 76 = 40.9 mm

AlladinOne [14]3 years ago
4 0

Answer

40.9

Step-by-step explanation:

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Anyone know the answer to this
uranmaximum [27]

Answer:

130m

120 squared + 50 squared

square root of 16900

130

(meters)

130 meters :)

6 0
3 years ago
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(x3 + 2x² – 46x + 19) = (x + 8)<br> Synthetic division
joja [24]

Answer:

factor and set each factor equal to zero.

x  ≈  − 8.02641268 ,  0.23670905 ,  5.78970363

Step-by-step explanation:

aight, this is my best shot. hope this helps

4 0
3 years ago
Find the minimum and maximum of f(x,y,z)=x^2+y^2+z^2 subject to two constraints, x+2y+z=4 and x-y=8.
Alika [10]
The Lagrangian for this function and the given constraints is

L(x,y,z,\lambda_1,\lambda_2)=x^2+y^2+z^2+\lambda_1(x+2y+z-4)+\lambda_2(x-y-8)

which has partial derivatives (set equal to 0) satisfying

\begin{cases}L_x=2x+\lambda_1+\lambda_2=0\\L_y=2y+2\lambda_1-\lambda_2=0\\L_z=2z+\lambda_1=0\\L_{\lambda_1}=x+2y+z-4=0\\L_{\lambda_2}=x-y-8=0\end{cases}

This is a fairly standard linear system. Solving yields Lagrange multipliers of \lambda_1=-\dfrac{32}{11} and \lambda_2=-\dfrac{104}{11}, and at the same time we find only one critical point at (x,y,z)=\left(\dfrac{68}{11},-\dfrac{20}{11},\dfrac{16}{11}\right).

Check the Hessian for f(x,y,z), given by

\mathbf H(x,y,z)=\begin{bmatrix}f_{xx}&f_{xy}&f_{xz}\\f_{yx}&f_{yy}&f_{yz}\\f_{zx}&f_{zy}&f_{zz}\end{bmatrix}=\begin{bmatrix}=\begin{bmatrix}2&0&0\\0&2&0\\0&0&2\end{bmatrix}

\mathbf H is positive definite, since \mathbf v^\top\mathbf{Hv}>0 for any vector \mathbf v=\begin{bmatrix}x&y&z\end{bmatrix}^\top, which means f(x,y,z)=x^2+y^2+z^2 attains a minimum value of \dfrac{480}{11} at \left(\dfrac{68}{11},-\dfrac{20}{11},\dfrac{16}{11}\right). There is no maximum over the given constraints.
7 0
3 years ago
You deposit $75 in a savings account that earns 5% annual interest compounded yearly. Find the balance in the account after the
Nana76 [90]
Hi there
The formula is
A=p (1+r)^t
A future value
P present value 75
R interest rate 0.05
T time

After 1 year the balance is
A=75×(1+0.05)
A=78.75

After 2 years
A=75×(1+0.05)^(2)
A=82.69

After 5 years
A=75×(1+0.05)^(5)
A=95.72

After 20 years
A=75×(1+0.05)^(20)
A=198.99 round
A=199

Hope it helps
7 0
3 years ago
What is 10 + x = 23?
Sloan [31]

Answer:

x = 13

Step-by-step explanation:

This is a simple algebraic problem. Since x must be left by itself in order to solve, we subtract 10 on both sides, giving us the final answer of x = 13.

5 0
3 years ago
Read 2 more answers
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