Answer:
The value of x
Step-by-step explanation:
Is -3 i think soooooo
Answer:
When you solve systems with two variables and therefore two equations, the ... of any variable is 1, which means you can easily solve for it in terms of the other ... In the substitution method, you use one equation to solve for one variable and ... Look for a variable with a coefficient of 1 … that's how you'll know where to begin.
Step-by-step explanation:
Which of the following equations is written in standard form?
C. 20y=20
Answer:
456.2 units²
Step-by-step explanation:
The area of the square base is ...
base area = w² = (10 units)² = 100 units²
The lateral area is 4 times the area of one rectangular face:
lateral area = 4wx = 4(10 units)(5 units) = 200 units²
The area of one triangular face is half the product of its base length (w) and its slant height (h). The latter is found using the Pythagorean theorem:
h² = y² +(w/2)² = (6 units)² +((10 units)/2)² = 61 units²
h = √61 units
So, the area of 4 triangles is ...
area of triangular faces = 4(1/2)wh = 2(10 units)(√61 units) ≈ 156.2 units²
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Now we have the areas of the parts, so we can add them together to get the total surface area:
surface area = base area + lateral area + area of triangular faces
= 100 units² + 200 units² + 156.2 units²
surface area = 456.2 units²
Answer:
![c(t) = 120 [0.7]^{t}](https://tex.z-dn.net/?f=c%28t%29%20%3D%20120%20%5B0.7%5D%5E%7Bt%7D%20)
Step-by-step explanation:
At the moment a certain medicine is injected, its concentration in the bloodstream is 120 milligrams per liter.
From that moment forward, the medicine's concentration drops by 30% each hour.
Therefore, the medicine concentration c(t) in mg/liters after t hours will be modeled as
![c(t) = c(0) [1 - \frac{30}{100}]^{t}](https://tex.z-dn.net/?f=c%28t%29%20%3D%20c%280%29%20%5B1%20-%20%5Cfrac%7B30%7D%7B100%7D%5D%5E%7Bt%7D%20)
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