How many choices of hats and dresses are there then it's one over all of the options multiplied let's say if you had three types of dresses and five types of hats then the probability of it would be 1/15
Answer:
%22.2
Step-by-step explanation:
Answer:
m=52.17
Step-by-step explanation:
<em>The complete question in Spanish is</em>
El área de la región rectangular es 4400 cm2. Calcular el valor de m
largo :2m-20
ancho: m
<em>The question in English is</em>
The area of the rectangular region is 4400 cm2. Calculate the value of m
length :2m-20
width: m
we know that
The area of a rectangle is equal to
![A=LW](https://tex.z-dn.net/?f=A%3DLW)
where
L is the length
W is the width
we have
![A=4,400\ cm^2](https://tex.z-dn.net/?f=A%3D4%2C400%5C%20cm%5E2)
![L=(2m-20)\ cm](https://tex.z-dn.net/?f=L%3D%282m-20%29%5C%20cm)
![W=m\ cm](https://tex.z-dn.net/?f=W%3Dm%5C%20cm)
substitute in the formula the given values and solve for m
![4,400=(2m-20)m](https://tex.z-dn.net/?f=4%2C400%3D%282m-20%29m)
Distribute in the right side
![4,400=2m^2-20m](https://tex.z-dn.net/?f=4%2C400%3D2m%5E2-20m)
![2m^2-20m-4,400=0](https://tex.z-dn.net/?f=2m%5E2-20m-4%2C400%3D0)
Solve the quadratic equation by graphing
Using a graphing tool
The solution is m=52.17 (the positive value is the solution)
see the attached figure
Answer:
30.06 degree Celsius at 4:00 PM.
Step-by-step explanation:
We have been given that on a hot Saturday morning while people are working inside, the air conditioner keeps the temperature inside the building at 24 degrees C. At noon the air conditioner is turned off, and the people go home. The temperature outside is a constant 35 degrees C for the rest of the afternoon. The time constant for the building is 5 hr. We are asked to find the temperature inside the building at 4:00 PM.
We will use Newton's law of cooling to solve our given problem.
, where
= Temperature after t hours.
= Temperature of surrounding environment,
= Time constant.
![\frac{1}{k}=5\Rightarrow k=\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bk%7D%3D5%5CRightarrow%20k%3D%5Cfrac%7B1%7D%7B5%7D)
Upon substituting our given values in Newton's cooling law, we will get:
![T(t)=35+(24-35)e^{-\frac{t}{5}}](https://tex.z-dn.net/?f=T%28t%29%3D35%2B%2824-35%29e%5E%7B-%5Cfrac%7Bt%7D%7B5%7D%7D)
![T(t)=35-11e^{-\frac{t}{5}}](https://tex.z-dn.net/?f=T%28t%29%3D35-11e%5E%7B-%5Cfrac%7Bt%7D%7B5%7D%7D)
To find the temperature at 4:00 pm, we will substitute
in our formula as:
![T(4)=35-11e^{-\frac{4}{5}}](https://tex.z-dn.net/?f=T%284%29%3D35-11e%5E%7B-%5Cfrac%7B4%7D%7B5%7D%7D)
![T(4)=35-\frac{11}{e^{\frac{4}{5}}}](https://tex.z-dn.net/?f=T%284%29%3D35-%5Cfrac%7B11%7D%7Be%5E%7B%5Cfrac%7B4%7D%7B5%7D%7D%7D)
![T(4)=35-\frac{11}{2.2255409284924674}](https://tex.z-dn.net/?f=T%284%29%3D35-%5Cfrac%7B11%7D%7B2.2255409284924674%7D)
![T(4)=35-4.9426186052894379601](https://tex.z-dn.net/?f=T%284%29%3D35-4.9426186052894379601)
![T(4)=30.05738139471](https://tex.z-dn.net/?f=T%284%29%3D30.05738139471)
![T(4)\approx 30.06](https://tex.z-dn.net/?f=T%284%29%5Capprox%2030.06)
Therefore, the temperature inside building would be approximately 30.06 degree Celsius at 4:00 PM.
Answer:
(-3,0)
Step-by-step explanation:
2x-3+0=-6