Answer:
21
(2,14)
14/2=7
14+7=21
21 is final answer
Erika had a 95% chance of guessing wrong
20 can be seen as 100%
the % will go down by 5's because of the original number
.5*20=
This will give you a 95% success rate.
The position function of a particle is given by:

The velocity function is the derivative of the position:

The particle will be at rest when the velocity is 0, thus we solve the equation:

The coefficients of this equation are: a = 2, b = -9, c = -18
Solve by using the formula:
![t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D)
Substituting:
![\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20t%3D%5Cfrac%7B9%5Cpm%5Csqrt%5B%5D%7B81-4%282%29%28-18%29%7D%7D%7B2%282%29%7D%20%5C%5C%20t%3D%5Cfrac%7B9%5Cpm%5Csqrt%5B%5D%7B81%2B144%7D%7D%7B4%7D%20%5C%5C%20t%3D%5Cfrac%7B9%5Cpm%5Csqrt%5B%5D%7B225%7D%7D%7B4%7D%20%5C%5C%20t%3D%5Cfrac%7B9%5Cpm15%7D%7B4%7D%20%5Cend%7Bgathered%7D)
We have two possible answers:

We only accept the positive answer because the time cannot be negative.
Now calculate the position for t = 6:
Let x be the original amount.
Increasing x by 24% means to add 24% of x to the original amount x.
x + 24% of x = x + .24x = 1x + .24x = 1.24x.
Therefore, to increase a given amount by 24% then multiply the original amount by a single factor of 1.24 .
Answer:
70.47feet
Step-by-step explanation:
CHECK THE ATTACHMENT FOR THE INTERPRETATION OF THE QUESTION USING A FIQURE
From the attachment we can see that a triangle was formed, where the
OPPOSITE SIDE= X
HYPOTENUSE=76feet
From trigonometry,
Sin(θ)=opposite/Hypotenuse
Sin(68)= X/76
Cross multiply, we have,
X= Sin(68) × 76
X= 0.9272 × 76
X= 70.47feet
Therefore, the antenna is 70.47feet tall.
Answer:
7.25
Step-by-step explanation:
In the question, the term at least means less than or equal to is represented by ≥
Let the cost of each gift = c
He is buying gifts for 8 friends = 8 gifts
Hence, our Inequality equation is written as:
(c + $1.50)× 8 ≥ $70
8c + 12 ≥ 70
8c ≥70 - 12
c ≥ 58/8
c≥ 7.25
Therefore, the amount Claudio needs to spend on each gift in order to receive free shipping is 7.25