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oksano4ka [1.4K]
3 years ago
10

If 2^2x = 2^3, what is the value of x?

Mathematics
2 answers:
vova2212 [387]3 years ago
7 0
<span>2^(2x) = 2^3
so
2x = 3
  x = 3/2
  x = 1.5

answer
x = 1.5</span>
Lostsunrise [7]3 years ago
6 0
With 2^2x=2^3 x would equal 2. You simplify both sides of the equation and then isolate the variable
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15 POINTS ANSWER ASAP, SHOW WORK
forsale [732]

Answer:

V=97.6\ in^3

Step-by-step explanation:

step 1

Find the volume of the cylinder

The volume of the cylinder is equal to

V=\pi r^{2}h

we have

r=4/2=2\ in ---> the radius is half the diameter

h=8\ in

substitute

V=\pi (2)^{2}(8)\\\\V=32\pi\ in^3

step 2

Find the volume of the cone

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2} h

we have

we have

r=2\ in ---> the radius is the same that the radius of the cylinder

h=0.70\ in

substitute

V=\frac{1}{3}\pi (2)^{2} (0.70)\\\\V=0.93\pi\ in^3

step 3

Find the volume of the plastic object

we know that

The volume of the plastic object is equal to the volume of the cylinder minus the volume of the cone

so

V=32\pi-0.93\pi=31.07\pi\ in^3

assume

\pi=3.1416

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8 0
3 years ago
Combine like terms to simplify.<br> 4y + 6x - 2y
olga nikolaevna [1]

Answer: 6x + 2y

Step-by-step explanation: 4y-2y are both alike terms, so you subtract the two, and then add 6x to it

6 0
3 years ago
Read 2 more answers
Simplify (x − 4)(2x2 + 3x − 5).
xeze [42]

The simplified form of given expression is 2x^3-5x^2-17x+20

<em><u>Solution:</u></em>

Given that we have to simplify the expression

<em><u>Given expression is:</u></em>

(x-4)(2x^2+3x-5)

We can simplify the expression by multiplying each term in first bracket with each term term in second bracket

\rightarrow (x-4)(2x^2+3x-5)

\rightarrow (x)(2x^2)+(x)(3x)+(x)(-5)-4(2x^2)-4(3x)-4(-5)

Simplify the above expression by multiplying the numbers in each term and adding the coefficients of like variables in each term

\rightarrow 2x^3+3x^2-5x-8x^2-12x+20

Combine the like terms

\rightarrow 2x^3+3x^2-8x^2-5x-12x+20

\rightarrow 2x^3-5x^2-17x+20

Thus the expression is simplified

5 0
3 years ago
What is the x-coordinate of the solution for the system of equations? {y−x=910+2x=−2y Enter your answer in the box. x =
Ivahew [28]

Answer:

-7

Step-by-step explanation:

y−x=9 ⇒ y=x+9

10+2x=−2y

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4 0
3 years ago
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Isosceles trapezoid ABCD has legs AB and CD, and base BC. If AB = 3y - 4, BC = 2y -3, and CD = 4y - 18, find the value of y.
Kryger [21]

Answer:

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Step-by-step explanation:

Since it is an isosceles trapezoid the length of the two legs (i.e.  AB = 5y-10 and CD = 2y+8) are equal.  In other words,

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5y - 2y - 10 = 8

Now add 10 to each side

5y - 2y - 10 + 10 = 8 + 10 =>

3y + 0 = 18 =>  

3y = 18 =>

y = 6

8 0
3 years ago
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