Answer:
this topic is on indices . look at these examples and try if you will understand.
Answer:
The correct option is D.
Step-by-step explanation:
Let <em>x</em> denote the years.
The information provided is:
- The population of Metro City is 7420.
- The population is decreasing by 152 people per year.
- The population of Smallville is consistently 1200 less than half of Metro City.
From the provided data derive the equation for the population of Smallville <em>x</em> years after as follows:
The population of Smallville is 2282 after <em>x</em> years.
Compute the value of <em>x</em> as follows:
Thus, the time it will take for Smallville's population to reach 2282 is 3 years.
The correct option is D.
Answer:
Step-by-step explanation:
<u>Trigonometric Ratios
</u>
The ratios of the sides of a right triangle are called trigonometric ratios.
The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.
Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:
Solving for y:
Since:
Simplifying:
Now we use the sine ratio:
Solving for x:
Since:
Simplifying:
The choices are not clear, but it seems like the correct answer is C.
In order to find the value of g(4)+f(-3), we must substitute those values into the functions first.
Substitute -3 into f(x).
f(x)=x²
f(-3)=(-3)²
f(-3)=9
Substitute 4 into g(x).
g(x)=2x-3
g(4)=2(4)-3
Using the rules of PEMDAS, multiply first then subtract.
g(4)=8-3
g(4)=5
Therefore, if f(-3) is 9 and g(4) is 5, we must add the two values together.
5+9=14
<u>The value of g(4)+f(-3) is 14.</u>
Answer:
Step-by-step explanation:
To find the surface area add all sides