A rational function is any function which can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials
Answer:
120
Step-by-step explanation:
As x goes from 1 to 2, y increases by 4 from 4 to 8
As x goes from 2 to 3, y increases by 4 from 8 to 12
We increase by 4 each time
The formula for an arithmetic sequence is
an = a1+d(n-1)
where a1 is the first term which is 4
d is the common difference or the number we add each time which is 4
n is the term we are looking for which is 30
a30 = 4 +4 (30-1)
a30 = 4+4(29)
= 4+116
= 120
Answer:
2.45c + 1.65c = 4.12 + 0.75
Step-by-step explanation:
To write an equation to find the value for c, we need to declare what c is first.
c = price of fruit
2.45c + 1.65c = 4.12 + 0.75
Now we multiplied c to 2.45 and 1.65 and added them together, because whatever the value of c is will give us the equivalence of the sum of 4.12 + 0.75.
Now to check if the equation is right, let's solve for c.
2.45c + 1.65c = 4.12 + 0.75
4.1c = 4.87
Now to get the value of c, we divide both sides of the equation by 4.1.
c = 1.19
Now let's substitute the value of c in the equation to see if we got it right.
2.45(1.19) + 1.65(1.19) = 4.12 + 0.75
2.92 + 1.96 = 4.87
4.87 = 4.87
Therefore concluding that the value of c is 1.19.
Both cyclist are moving apart at a speed of 9.434 mi/hr.
<h3>
What is velocity?</h3>
Velocity is the direction at which an item is moving and serves as a measure of the rate at which its location is changing as seen from a certain point of view and as measured by a specific unit of time (for example, 60 km/h northbound). In kinematics, the area of classical mechanics that deals with the motion of bodies, velocity is a basic idea. A physical vector quantity called velocity must have both a magnitude and a direction in order to be defined. Speed is the scalar absolute value (magnitude) of velocity; it is a coherent derived unit whose quantity is measured in metres per second (m/s or m/s1) in the SI (metric system).
To know more about Velocity, visit;
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Answer:
The answer is 672.
Step-by-step explanation:
To solve this problem, first let's find the surface area of the rectangular prism. To do that, multiply each dimension with each (times 2 | just in case you don't understand [what I'm talking about is down below]).
8 x 8 x 2 = 128
8 x 11 x 2 = 176
8 x 11 x 2 = 176
Then, add of the products together to find the surface area of the rectangular prism.
176 + 176 + 128 = 480
Now, let's find the surface area of the square pyramid. Now, for this particular pyramid, let's deal with the triangles first, then the square. Like we did with the rectangular prism above, multiply each dimension with each other (but dividing the product by 2 | in case you don't understand [what i'm talking about is down below]).
8 x 8 = 64.
64 ÷ 2 = 32.
SInce there are 4 triangles, multiply the quotient by 4 to find the surface area of the total number of triangles (what i'm talking about is down below).
32 x 4 = 128.
Now, let's tackle the square. All you have to do is find the area of the square.
8 x 8 = 64.
To find the surface area of the total square pyramid, add both surface areas.
128 + 64 = 192.
Finally, add both surface areas of the two 3-D shapes to find the surface area of the composite figure.
192 + 480 = 672.
Therefore, 672 is the answer.
