Answer:
3 weeks, $45
Step-by-step explanation:
So we can make an equation!
55+5x=100-10x
So solving for x,
X=3
For this case we have the following system of equations:
-4x + 5y = 8
6x - y = 11
The solution is the ordered pair where both functions intersect.
In this case, the point of intersection is:
(x, y) = (5/2, 7/2)
Answer: (x, y) = (5/2, 7/2) option 1See attached image
Answer:
<em>The ball's speed will be 10 m/s at t=1.22 seconds</em>
Step-by-step explanation:
The vertical motion of an object is controlled by the force of gravity. This means that there is a non-zero net force acting on the object that makes it accelerate downwards.
If the object is thrown upwards at speed vo, its speed at time t is:

Where g is the acceleration of gravity 
Our ball is thrown upwards with v0=22 m/s. We need to calculate the time when its speed is vf=10 m/s.
Solving the above equation for t:

Substituting:

t=1.22 seconds
The ball's speed will be 10 m/s at t=1.22 seconds
Answer:
Option (D)
Step-by-step explanation:
In the picture attached,
An obtuse angle triangle ABC has been given.
By applying Sine rule in the triangle,

Since, m∠A + m∠B + m∠C = 180°
45° + 110° + m∠C = 180°
m∠C = 180°- 155° = 25°



b = 
b = 15.56
b ≈ 15.56

a = 
a = 11.712
a = 11.71
Therefore, Option (D) will be the answer.
Using the Empirical Rule, it is found that the lifespans, in months, are given by:
1. 24 and 32.
2. 20 and 36.
3. 16 and 40.
<h3>What is the Empirical Rule?</h3>
It states that, for a normally distributed random variable:
- Approximately 68% of the measures are within 1 standard deviation of the mean.
- Approximately 95% of the measures are within 2 standard deviations of the mean.
- Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Hence, considering the mean of 28 months and the standard deviation of 4 months, the life spans are given by:
1. 24 and 32.
2. 20 and 36.
3. 16 and 40.
More can be learned about the Empirical Rule at brainly.com/question/24537145