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2 years ago

Given f(x) = -x +6, Evaluate f(x) for X= -1 and 3 and 5 Range:

Mathematics

1 answer:

Maurinko [17]2 years ago

7 0

Answer:

f(x) for x = -1 is -1+6= 5

f(x) for x = 3 is -3+6= 3

f(x) for x = 5 is -5+6= 1

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Find the tenth term in the sequence

attashe74 [19]

Answer: The tenth term in the sequence is 512.

Step-by-step explanation:

Since we have given that

$a_n=2^{n-1}$

We need to find the tenth term:

It means n = 10

So, it becomes

$a_{10}=2^{10-1}\\\\a_{10}=2^9\\\\a_{10}=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\\\\a_{10}=512$

Hence, the tenth term in the sequence is 512.

4 0

2 years ago

An 8 inch by 6 inch rectangle is the base of the rectangular prism below. What is the lateral area of the figure?

Licemer1 [7]

Answer:

140

Step-by-step explanation:

you would find the perimeter 8+8+6+6=28, then you multiply it by the height so it would be 28x5=140

8 0

2 years ago

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Find the rectangular coordinates of the point with the polar coordinates (8, 3 divided by 2 pi).

ludmilkaskok [199]

(r, theta)= (8, 3/2 pi)
r=(x^2 +y^2)^(1/2)
theta= 3/2 pi
x= r(costheta)
y=r(sintheta)
x=8(cos(3/2 pi))
y=8(sin(3/2 pi))
x=8(0)
y=8(-1)
x=0
y=-8
r=((-8)^2+(0)^2)^(1/2)
r=(64+0)^(1/2)
r=8
rectangular coordinates= (0,-8)

3 0

3 years ago

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Enny White is shopping for CDs. She decides to purchase 3 movie soundtracks. The music store has 7 different movie soundtracks i

Gala2k [10]

Answer:

35 different selections of soundtracks are possible

Step-by-step explanation:

Total number of soundtracks available at the store = 7

Enny decides to purchase 3 movie soundtracks.

So, in this problem we have to find in how many ways can Enny chose 3 soundtracks out of 7. The order in which the soundtracks are chosen does not matter e.g soundtracks A,B and C are the same as soundtracks B,C and A.

In an arrangement when the order does not matter, we use combinations to find the total possible number of arrangements or selections.

So, for this problem choosing 3 soundtracks out of 7 means forming combinations from 7 objects taken 3 at a time. This can be represented mathematically as:

$^{7}C_{3}$

The general formula for combinations is:

$^{n}C_{r}=\frac{n!}{r!\times(n-r)!}$

Using the values, we get:

$^{7}C_{3}=\frac{7!}{3!\times(7-3)!} =35$

This means, Enny can make 35 different selections of soundtracks.

7 0

2 years ago

Which equation is the inverse of y = x2 – 36?

ehidna [41]

We find the inverse of equation y=x2-36 by solving for y and replace with variable x. Solving this, we transpose -36 to opposite side. Equation will now be y+36=x2, then we get the square root of y+36. We now have the missing inverse equation which is f−1(x)= sqrt (y+36), - sqrt (y+36).

4 0

2 years ago

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