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algol13
3 years ago
14

Simplify the following expression (w^8)8

Mathematics
1 answer:
Crank3 years ago
7 0

Answer:

w^64

Step-by-step explanation:

(w^8)^8

both of the powers will be multiplied; hence

w^8*8

w^64

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Rewrite the quadratic function in vertex form.<br> Y=2x^2+4x-1
Fantom [35]

Answer:

\large\boxed{y=2(x+1)^2-3}

Step-by-step explanation:

The vertex form of an equation of a parabola:

y=a(x-h)^2+k

(h, k) - vertex

We have

y=2x^2+4x-1=2\left(x^2+2x-\dfrac{1}{2}\right)

We must use the formula: (a+b)^2=a^2+2ab+b^2\qquad(*)

2\left(x^2+2(x)(1)-\dfrac{1}{2}\right)=2\bigg(\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-\dfrac{1}{2}\bigg)\\\\=2\left((x+1)^2-1-\dfrac{1}{2}\right)=2\left((x+1)^2-\dfrac{3}{2}\right)

Use the distributive formula a(b + c) = ab + ac

2(x+1)^2+2\left(-\dfrac{3}{2}\right)=2(x+1)^2-3

5 0
2 years ago
Write the following inequality in slope intercept form
yarga [219]
The answer would be C) y</=x-14

The steps to get this are:

1) Add 5y to both sides to remove the negative 5y
2) Subtract 70 from both sides to isolate 5y
3) Divide everything by 5 to simplify

That's how to get the answer. Hope this helps
6 0
3 years ago
Match each percent amount to its correct value. Tiles 15% of 30 30% of 45 60% of 7 23% of 20
Naddik [55]
15% of 30 = 4.5
30% of 45= 13.5
60% of 7= 4.2
23% of 20= 4.6
8 0
3 years ago
Read 2 more answers
The population of a species of rabbit triples every year. This
jok3333 [9.3K]

Answer:

"4" represents that there are 4 rabbit in the beginning.

Step-by-step explanation:

Given that the population of a species of rabbit triples every year. This

can be modeled by function f\left(x\right)=4\left(3\right)^x and f(5) = 972.

Now we need to find about what does the 4 represent in the given function.

We know that exponential function is given by f\left(x\right)=a\left(b\right)^x. Where "a" represents the initial amount.

we have a=4 in given function f\left(x\right)=4\left(3\right)^x.

So that means "4" represents that there are 4 rabbit in the beginning.

3 0
3 years ago
HELP! What is the volume in cubic inches of the solid figure, rounded to the nearest cubic inch?
Setler [38]

Answer:

Volume of the solid figure = 1131 cubic inches

Step-by-step explanation:

Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism

Volume of half cylindrical prism = \frac{1}{2}(\pi r^2h)

                                                     = (\frac{1}{2})(\pi )(17-11)^2(6)

                                                     = 339.29 cubic inch.

Volume of the rectangular prism = (length × width × height)

                                                      = 11 × 6 × 12

                                                      = 792 cubic inches

Volume of the solid figure = 339.29 + 792

                                            = 1131.29

                                            ≈ 1131 cubic inches

8 0
3 years ago
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