Please help and answer

Your Turn: Find the measure of angle P below. Show your work. *

Virty [35]

Check the picture.

The figure shows lines m, n and the line through points A And B, call it $l_{AB}$ .

1. The angles ABC and CBP are "supplementary" angles, that is angles whose sum is 180°, because together they form one straight angle.

thus,

(2x+5°)+(7x-14°)=180°

9x-9°=180°

9x=189°

x=189°/9=21°.

2. Remark, m and n are parallel, otherwise we can say nothing about the measure of angle P

check the second picture, notice the F shape formed by CBP and P.

Angles CBP and P are called "angles F" or "corresponding angles".

Corresponding angles formed by a line cutting 2 parallel lines, are always congruent (that is equal) so:

m(P)=m(CBP)=7x-14°=7.21°-14°=147°-14°=133°

Answer: 133°

5 0

3 years ago

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You need 10,000 to pay for your final college tuition. you find a loan it is compounded quartely at 6.25% for 10 years. how much

Amanda [17]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$10000\\
r=rate\to 6.25\%\to \frac{6.25}{100}\to &0.0625\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &10
\end{cases}
\\\\\\
A=10000\left(1+\frac{0.0625}{4}\right)^{4\cdot 10}
\\\\\\
A=10000(1.015625)^{40}\implies A\approx 18592.39366677226890$

3 0

3 years ago

The value of a weight vector is given as (w1=3, w2=-2, w0=1) for a linear model with soft threshold (sigmoid) function f(x).

dolphi86 [110]

Answer:

Please see explanation for the answer. The code is written in python and is as given below:

Step-by-step explanation:

The solution is obtained on the Python with the following code

import matplotlib.pyplot as plotter

import numpy as npy

x_s = npy.linspace(-5,5,100) #Defining a linear sample space with boundaries as -5 to 5 and 100 as number of samples.

def sigmo(z):return 1/(1 + npy.exp(-z)) #Defining sigmoid function for the f(x).

plotter.plot(x_s, sigmo(x_s))

plotter.plot([-5,5],[.5,.5])

plotter.xlabel("z")

plotter.ylabel("sigmoid(z)")

plotter.show()

8 0

3 years ago

Juan is going to a school where tuition is $5,000 per year. He has a scholarship that pays 60% of his tuition. He has a grant fo

baherus [9]

Answer:

She now needs to borrow $4000

Step-by-step explanation:

Juan is going to a school where tuition is $5,000 per year. He has a scholarship that pays 60% of his tuition. He has a grant for $1,000 per year. How much will Juan need to borrow to pay tuition each year?

8 0

3 years ago

13. Wind farms are a source of renewable energy found around the world. The power P (in kilowatts) generated by a wind turbine v

suter [353]

Since the Power is directly proportional to the velocity, their ratio $\frac{P}{v^{3} }$ is constant.

<span>Therefore </span> $\frac{500}{ 10^{3} } = \frac{x}{ 12^{3} }$ which is a proportion:

500 : 1000 = x : 1728

that can be easily solved:

x = (500×1728)/1000 = 864kW

8 0

3 years ago

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