The value of k is -89
Explanation:
The given expression is ![k=10t-19](https://tex.z-dn.net/?f=k%3D10t-19)
We need to determine the output k, when the input t is -7
<u>Output k:</u>
The value of the output k can be determined by substituting the input
in the expression ![k=10t-19](https://tex.z-dn.net/?f=k%3D10t-19)
Thus, we have,
![k=10(-7)-19](https://tex.z-dn.net/?f=k%3D10%28-7%29-19)
Multiplying the terms 10 and -7, we have,
![k=-70-19](https://tex.z-dn.net/?f=k%3D-70-19)
Simplifying, we get,
![k=-89](https://tex.z-dn.net/?f=k%3D-89)
Thus, the value of k is -89
Answer:
<h2>The required ratio is 8</h2>
Step-by-step explanation:
Volume of a sphere =
where r is the radius of the sphere.
If manuel bought a balloon (that is a perfect sphere) with a radius of 2cm, the original volume of the sphere is expressed as;
Vo = ![\frac{4}{3}\pi (2)^{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%20%282%29%5E%7B3%7D)
![Vo = \frac{4}{3}\pi *8\\Vo = \frac{32 \pi}{3}](https://tex.z-dn.net/?f=Vo%20%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%2A8%5C%5CVo%20%3D%20%5Cfrac%7B32%20%5Cpi%7D%7B3%7D)
If he wanted his balloon to be bigger and he blew 2 big breaths of air into the balloon, if each big breath increased the balloon's radius by 1cm, the total radius will be the initial radius of the sphere plus the new radius after expansion.
radius of current sphere = 2cm+(1cm+1cm) = 4cm
Volume of the current sphere Vc = ![\frac{4}{3}\pi (4)^{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%20%284%29%5E%7B3%7D)
![Vc = \frac{4}{3}\pi *64\\Vc = \frac{256 \pi}{3} \\](https://tex.z-dn.net/?f=Vc%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%2A64%5C%5CVc%20%3D%20%5Cfrac%7B256%20%5Cpi%7D%7B3%7D%20%5C%5C)
The ratio of the current volume of the balloon Vc to the original volume of the balloon Vo will be expressed as;
Vc/Vo = ![\frac{\frac{256\pi}{3} }{\frac{32\pi}{3} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B256%5Cpi%7D%7B3%7D%20%7D%7B%5Cfrac%7B32%5Cpi%7D%7B3%7D%20%7D)
![\frac{Vc}{Vo}=\frac{256\pi}{3}*\frac{3}{32\pi} \\\frac{Vc}{Vo}=\frac{256}{32}\\\frac{Vc}{Vo}= 8](https://tex.z-dn.net/?f=%5Cfrac%7BVc%7D%7BVo%7D%3D%5Cfrac%7B256%5Cpi%7D%7B3%7D%2A%5Cfrac%7B3%7D%7B32%5Cpi%7D%20%20%20%5C%5C%5Cfrac%7BVc%7D%7BVo%7D%3D%5Cfrac%7B256%7D%7B32%7D%5C%5C%5Cfrac%7BVc%7D%7BVo%7D%3D%208)
The required ratio is 8
I believe that 7 5/4 is the answer.
Answer:
it is detailed solution. please mark brainlest.
Thank you have a nice day
Answer:
I think it is C I don't really know but try C