Keywords
complementary angles, right angle
we know that
If two angles are <u>complementary angles</u>, then their sum is equal to a <u>right angle</u>
In this problem
-------> by <u>complementary angles</u>
we have

Substitute and solve for Angle TSU

therefore
the answer is the option

With no limiting factors to the growth of the plants, the number of months have passed since the plants were first introduced is 23.1.
<h3>What is an exponential function?</h3>
Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.
A type of plant is introduced into an ecosystem and quickly begins to take over.
A scientist counts the number of plants after m months and develops the equation to model the situation, which is given as,

Most recently, the scientist counted 138 plants.

Taking log both sides of the equation,

Thus, with no limiting factors to the growth of the plants, the number of months have passed since the plants were first introduced is 23.1.
Learn more about the exponential function here;
brainly.com/question/15602982
14/99
Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).
This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.
Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:
{(2×7)/(11×10×9)}×10=14/99
A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.
Answer:
the one for the finding the height is 3.3, the one with 7 as the height is 351.86, and the one with 3 as the height is 150.8
Step-by-step explanation:
h=V
πr2=41.5
π·22≈3.30247
V=πr2h=π·42·7≈351.85838
V=πr2h=π·42·3≈150.79645
Answer: Option D
Step-by-step explanation:
By definition if we have a function F (x) and perform a transformation of the form

Then it is true that:
If c is negative the graph of G(x) will be equal to the graph of F(x) displaced horizontally c units to the right
If c is positive, the graph of G(x) will be equal to the graph of F(x) displaced horizontally c units to the left.
Note that in this case the transformation is:

Then
and 
Therefore the graph of G(x) will be equal to the graph of F(x) displaced horizontally <em>9 units to the left</em>
The answer is the option D.