The grade of her sci test was 61. First I add 37 to 85, the sum being 122. Then if you divide it in half, you get the quotien and final answer of 61
Answer:
3x^3+ 12x^2-15x
Step-by-step explanation:
First, you would have to distribute the 3x to everything in the parentheses. So you can write it out as (3x*x^2)+(3x*4x)+(3x*5). Solving this will give you the answer. We'll start off with (3x*x^2). Because we are MULTIPLYING, this part will equal to 3x^3. There is ONE x with 3x (think of it as 3x^1) and 2 x's in x^2, having a total of 3 x's, or x^3. Since the 3 is being multiplied as well, we can write it as 3x^3.
Second, we will solve (3x*4x). We are multiplying, so first we multiply 3*4 and then x*x. 3*4 is 12 and x*x is x^2. There are 2 x's being mutipled by each other, so the x becomes squared. Now we finish and multiply 12*x^2 wich is 12x^2.
Lastly, we solve (3x*5). 3x is being multiplied 5 times which gives us 15x.
I hope this helped :)
Complete Question:
Triangle abc has the angle mesausres shown.
m<A = (2x)°
m<B = (5x)°
m<C = (11x)°
Which statement is true about the angles?
A. m<A = 20°
B. m<B = 60°
C. m<A and m<B are complementary
D. m<A + m<C = 120°
Answer:
A. m<A = 20°
Step-by-step explanation:
m<A + m<B + m<C = 180° (sum of interior angles of a triangle)
(substitution)
Solve for x. Add like terms.
![18x = 180](https://tex.z-dn.net/?f=%2018x%20%3D%20180%20)
Divide both sides by 18
![\frac{18x}{18} = \frac{180}{18}](https://tex.z-dn.net/?f=%20%5Cfrac%7B18x%7D%7B18%7D%20%3D%20%5Cfrac%7B180%7D%7B18%7D%20)
![x = 10](https://tex.z-dn.net/?f=%20x%20%3D%2010%20)
Find the measure of each angle by substituting x = 10:
m<A = (2x)° = 2(10) = 20°
m<B = (5x)° = 5(10) = 50°
m<C = (11x)° = 11(10) = 110°
Therefore, the only true statement is:
A. m<A = 20°
Answer:
The diver will hit the water at 1.5 seconds
Step-by-step explanation:
Given
![h= -16(t-1.5)(t+1)](https://tex.z-dn.net/?f=h%3D%20-16%28t-1.5%29%28t%2B1%29)
Required (Missing from the question)
When will the diver hit the water?
To do this, we simply solve for t
When the diver hits the water, the height is 0 (at that point)
So, substitute 0 for h in ![h= -16(t-1.5)(t+1)](https://tex.z-dn.net/?f=h%3D%20-16%28t-1.5%29%28t%2B1%29)
![0= -16(t-1.5)(t+1)](https://tex.z-dn.net/?f=0%3D%20-16%28t-1.5%29%28t%2B1%29)
Divide both sides by -16
![\frac{0}{-16} =\frac{-16(t-1.5)(t+1)}{-16}](https://tex.z-dn.net/?f=%5Cfrac%7B0%7D%7B-16%7D%20%3D%5Cfrac%7B-16%28t-1.5%29%28t%2B1%29%7D%7B-16%7D)
![\frac{0}{-16} =(t-1.5)(t+1)](https://tex.z-dn.net/?f=%5Cfrac%7B0%7D%7B-16%7D%20%3D%28t-1.5%29%28t%2B1%29)
![0 =(t-1.5)(t+1)](https://tex.z-dn.net/?f=0%20%3D%28t-1.5%29%28t%2B1%29)
![(t-1.5)(t+1)=0](https://tex.z-dn.net/?f=%28t-1.5%29%28t%2B1%29%3D0)
Split
or ![t + 1 = 0](https://tex.z-dn.net/?f=t%20%2B%201%20%3D%200)
Solve for t
or ![t = -1](https://tex.z-dn.net/?f=t%20%3D%20-1)
But time (t) can not be negative.
So:
![t = 1.5](https://tex.z-dn.net/?f=t%20%3D%201.5)
Hence, the diver will hit the water at 1.5 seconds
Answer:
Looking at the first question, it's asking what best describes the probability of tossing a number less than 6 on a number cube that has 6 numbers. Impossible means that it will never land on it, for example asking what the probability of landing on 7 is. Unlikely is something that doesn't happen often. The best option that fits our scenario is option C, likely.
Looking at the second question, it's asking what the probability that the teacher chooses a girl in his class. There are 15 girls and a total of 27 students in the class so we take the probability by doing 15/27. We can narrow both the numerator and the denominator using 3 which gives us 5/9. Therefore, the best option that fits our scenario is option C, 5/9.
Finally, looking at the last question, it's asking what the theoretical probability that the coin will land on heads on the next toss. Theoretical probability doesn't consider how much times Murray tossed the coin, the only thing it cares about is what the actual probability of tossing a coin is. Therefore that makes it a 50% chance of landing on a heads and a 50% chance of landing on a tails. The best option that first our scenario is option B, 1/2.
<u><em>Hope this helps! Let me know if you have any questions</em></u>