Answer:
D
Step-by-step explanation:
If all the sides are equal, then the two remaining sides of that triangle must be equal. The total angle measure of the triangle is 180-116, cause m<1 and m<2 are equal, =64, and 64/2 is 32
Answer:
![y=exp(\int\limits^x_4 {e^{-t^{2} } } \, dt)](https://tex.z-dn.net/?f=y%3Dexp%28%5Cint%5Climits%5Ex_4%20%7Be%5E%7B-t%5E%7B2%7D%20%7D%20%7D%20%5C%2C%20dt%29)
Step-by-step explanation:
This is a separable equation with an initial value i.e. y(3)=1.
Take y from right hand side and divide to left hand side ;Take dx from left hand side and multiply to right hand side:
![\frac{dy}{y} =e^{-x^{2} }dx](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7By%7D%20%3De%5E%7B-x%5E%7B2%7D%20%7Ddx)
Take t as a dummy variable, integrate both sides with respect to "t" and substituting x=t (e.g. dx=dt):
![\int\limits^x_3 {\frac{1}{y} } \, \frac{dy}{dt} dt=\int\limits^x_3 {e^{-t^{2} } } dt](https://tex.z-dn.net/?f=%5Cint%5Climits%5Ex_3%20%7B%5Cfrac%7B1%7D%7By%7D%20%7D%20%5C%2C%20%5Cfrac%7Bdy%7D%7Bdt%7D%20dt%3D%5Cint%5Climits%5Ex_3%20%7Be%5E%7B-t%5E%7B2%7D%20%7D%20%7D%20dt)
Integrate on both sides:
![ln(y(t))\left \{ {{t=x} \atop {t=3}} \right. =\int\limits^x_3 {e^{-t^{2} } } \, dt](https://tex.z-dn.net/?f=ln%28y%28t%29%29%5Cleft%20%5C%7B%20%7B%7Bt%3Dx%7D%20%5Catop%20%7Bt%3D3%7D%7D%20%5Cright.%20%3D%5Cint%5Climits%5Ex_3%20%7Be%5E%7B-t%5E%7B2%7D%20%7D%20%7D%20%5C%2C%20dt)
Use initial condition i.e. y(3) = 1:
![ln(y(x))-(ln1)=\int\limits^x_3 {e^{-t^{2} } } \, dt\\ln(y(x))=\int\limits^x_3 {e^{-t^{2} } } \, dt\\](https://tex.z-dn.net/?f=ln%28y%28x%29%29-%28ln1%29%3D%5Cint%5Climits%5Ex_3%20%7Be%5E%7B-t%5E%7B2%7D%20%7D%20%7D%20%5C%2C%20dt%5C%5Cln%28y%28x%29%29%3D%5Cint%5Climits%5Ex_3%20%7Be%5E%7B-t%5E%7B2%7D%20%7D%20%7D%20%5C%2C%20dt%5C%5C)
Taking exponents on both sides to remove "ln":
Answer:
x = 2
Step-by-step explanation:
2x−3-x+4=3
combine like terms:
x + 1 = 3
x = 2
A) $355 + $18x = $514 + $15x
B) $355 + $18x = $514 + $15x
355 -355 + 18x = 514 -355 + 15x
18x = 159 + 15x
18x-15x=159+15x-15x
3x = 159
3x/3=159/3
x = 53
C) $355 + $18(53) = $1309
$514 + $15(53)= $1309
D) You can check your answer by taking what x equals and plugging back into the original formula of $355+$18x=$514+$15x. Then solve making sure the left side equals the right side.
$355+$18x=$514+$15x
$355 + $18(53)=$514 + $15(53)
$1309 = $1309
we know that
<u>A rate</u> is a ratio that compares quantities in different units. <u>A unit rate</u> is a rate where the second quantity is one unit
so
In this problem to find the unit rate
Divide $
by ![13\ ounces](https://tex.z-dn.net/?f=%2013%5C%20ounces%20)
![unit\ rate=\frac{5.99}{13}\frac{dollars}{ounce} \\ \\ unit\ rate=0.46\frac{dollars}{ounce}](https://tex.z-dn.net/?f=%20unit%5C%20rate%3D%5Cfrac%7B5.99%7D%7B13%7D%5Cfrac%7Bdollars%7D%7Bounce%7D%20%20%5C%5C%20%5C%5C%20unit%5C%20rate%3D0.46%5Cfrac%7Bdollars%7D%7Bounce%7D%20%20)
therefore
the answer is
the unit rate is equal to ![0.46\frac{dollars}{ounce}](https://tex.z-dn.net/?f=%200.46%5Cfrac%7Bdollars%7D%7Bounce%7D%20)