<u><em>Answer:</em></u>
x = 3
<u><em>Explanation:</em></u>
The complete question is shown in the attached diagram
<u>Collinear points</u> are defined as points that lie on the same straight line
Since points U, T and V are given to be collinear, this means that these three points lie on the same straight line
Now, we are given that point U is between points T and V
This would mean that the length of segment TV can be written as the sum of the segments TU and UV
<u>Therefore:</u>
TV = TU + UV
<u>We are given that:</u>
TV = 14x - 8
TU = 9x + 2
UV = 5
<u>Substitute with the givens in the above mentioned equation and solve for x as follows:</u>
TV = TU + UV
14x - 8 = 9x + 2 + 5
14x - 8 = 9x + 7
14x - 9x = 7 + 8
5x = 15
x = 3
Hope this helps :)
Answer:
We get that the heaviest of fruits weigh 766.84 grams.
Step-by-step explanation:
We know that a particular fruit's weights are normally distributed, with a mean of 738 grams and a standard deviation of 14 grams.
We have:
We calculate x:
We use the standard normal table and we get: Z=2.06.
So, we get
We get that the heaviest of fruits weigh 766.84 grams.
Answer:
1.25cups(8oz/1cup)=10 ounces
Step-by-step explanation:
we convert 1 1/2 quarts to cups. There are 4 cups in a quart:
1 1/2 quarts= 3/2 quarts (4 cups/ 1 quart)= 6 cups
Amount poured out:
6 cups- 3.5 cups= 2.5 cups
Amount poured in each cup:
2.5/2=1.25 cups
Answer:
<h2>First graph.</h2>
Step-by-step explanation:
The given function is
![y=\sqrt[3]{x-3}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7Bx-3%7D)
Observe that the three units are a translation in horizontal direction. Specifically, indicates a 3 units translation rightwards, because negative units added to 
means rightward movement. So, we need to a curve moved 3 units to the right.
Notice that the first graph is the only one moved three units rightwards. We deduct this because the function showed by the first graph is the only which crosses x=3.
Therefore, the right answer is the first graph.
12000(1.06)^120 is your equation. plug that into the calculator and solve. *its 120 bc 12 months times 10 years is 120*
