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3 years ago

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

Mathematics

2 answers:

vova2212 [387]3 years ago

7 0

2^(2x) = 2^3
so
2x = 3
x = 3/2
x = 1.5

answer
x = 1.5

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

$r=2\ in$ ---> 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

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

assume

$\pi=3.1416$

$V=31.07(3.1416)=97.6\ in^3$

8 0

3 years ago

Combine like terms to simplify. 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 $2x^3-5x^2-17x+20$

Solution:

Given that we have to simplify the expression

Given expression is:

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

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

5+x= -y ====== replacing y with x+9

5+x= -x-9

2x= -14

x= -7

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:

(6)

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,

5y - 10 = 2 y + 8

Subtract 2y from each side:

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