<h3>
Answer: 96 cubic feet (choice D)</h3>
=======================================================
Explanation:
The triangular face has area of base*height/2 = 8*2/2 = 16/2 = 8 square feet.
Multiply this with the depth of the prism to get 8*12 = 96 cubic feet
----------
For any prism, the volume formula is
V = (area of base)*(depth of prism)
The term "depth" can be replaced with "height" and it's the same idea.
In this problem, we have a triangular prism because the parallel sides are triangles.
Answer:
The sample size is 
Step-by-step explanation:
The population proportion is 
The margin of error is 
From the question we are told the confidence level is 90% , hence the level of significance is
=> 
Generally from the normal distribution table the critical value of 
is
Generally the sample size is mathematically represented as
![n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%7D%7BE%7D%20%5D%5E2%20%2A%20%5C%5E%20p%20%281%20-%20%5C%5E%20p%20%29%20)
=> ![n = [\frac{1.645 }{0.1} ]^2 * 0.50 (1 - 0.50 )](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7B1.645%20%7D%7B0.1%7D%20%5D%5E2%20%2A%200.50%20%20%281%20-%200.50%20%29%20)
=>
Y-5=4(x+2)
y-5=4x+8
+5 +5
y=4x+13
is that what you are talking about?
Answer:
A has 263 calories
B has 257 calories
Step-by-step explanation:
system of equations:
a + 2b = 777
2a + b = 783
I multiplied the first equation by -2 to eliminate the 'a' terms
-2a - 4b = -1554
+ <u> 2a + b = 783</u>
-3b = -771
b = 257
solve for 'a'
a + 2(257) = 777
a + 514 = 777
a = 263
Answer:
y= -7x-8
Step-by-step explanation:
The slope intercept form is y = mx + b.
First, find the slope. Use rise/run which gives you -7. <= negative bc its a negative slope.
Next, find the y intercept for b. It is -8.
Now, combine the numbers. y = -7x-8.
