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3 years ago

Convert 100110 base two to a number in base three

Mathematics

1 answer:

Lostsunrise [7]3 years ago

4 0

Convert to base 10:

10 0110₂ = 2⁵ + 2² + 2¹ = 38

Convert to base 3:

38 = 27 + 11 = 27 + 9 + 2 = 3³ + 3² + 2×3⁰ = 1102₃

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Help me with these 3 and explain too thank you :))

xz_007 [3.2K]

Answer:

1) 25

2) 2

3) f(g(1)) = 42

Step-by-step explanation:

1) Given that f(x) = 4x^2 + 9

If x = -2

f(-2) = 4(-2)^2 + 9

f(-2) = 4(4) + 9

f(-2) = 16 + 9

f(-2) = 25

2) Given that f(x) = 4x - 6

y = 4x - 6

Replace y with x

x = 4y - 6

MAke y the subject of the forfmula

4y = x+ 6

y = (x+6)/4

SInce x = 2

f^(-1)(2) = (2+6)/4

f^(-1)(2) = 8/4 = 2

3) If f(x) = 6x and g(x) = x+6

f(g(x)) = f(x+6)

f(x+6) = 6(x+6)

Since x = 1

f(g(1)) = 6(1+6)

f(g(1)) = 6(7)

f(g(1)) = 42

5 0

3 years ago

How much longer is the distance from the library to the park to the train station than the distance from the library straight to

Slav-nsk [51]

Answer:

2.14

Step-by-step explanation:

2.14+3.82= 5.96

5.96-3.82= 2.14

So, your answer would be 2.14

7 0

3 years ago

Safiya deposited money into a bank account that earned 6.5% simple interest each year. After 312 years, she had earned $36.40 in

Svetllana [295]

Answer: If the time is 3 1/2 years (most reasonable assumption)

Her initial deposit was $160

Step-by-step explanation: The basic formula for simple interest is

i = prt i is interest, P is principal (deposit) r is the percentage (converted to a decimal) and t is time, the number of years.

For this question, you have to rearrange the equation to solve for p.

So divide both sides by rt and you have

p = i/rt

Substitute the values given

p = 36.40/(0.065)(3.5)

8 0

4 years ago

A regular decagon has a radius of 8 cm.

svp [43]

Answer: 188 cm² I think that's it

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Find the value of x and then the measure of Arc XYZ and Arc XZ. Show work on a piece of paper.

Westkost [7]

Given:

The measure of arc XY is (31x)°

The measure of arc YZ is (35x - 16)°

We need to determine the value of x, measure of arc XYZ and arc XZ.

Value of x:

From the figure, it is obvious that the arcs XY and YZ are congruent.

Thus, we have;

$31x=35x-16$

Subtracting both sides by 35x, we have;

$-4x=-16$

$x=4$

Thus, the value of x is 4.

Measure of arc XYZ:

The measure of arc XYZ is given by

$m \widehat{XYZ}=m \widehat{XY}+m \widehat{YZ}$

The measure of arc XY is given by

$m \widehat{X Y}=31(4)=124^{\circ}$

The measure of arc YZ is given by

$m \widehat{Y Z}=35(4)-16=124^{\circ}$

Hence, the measure of arc XYZ is given by

$m \widehat{XYZ}=124^{\circ}+124^{\circ}=248^{\circ}$

Therefore, the measure of arc XYZ is 248°

Measure of arc XZ:

The measure of arc XZ is given by

$m \widehat{XZ}=360^{\circ}-m \widehat{XYZ}$

Substituting the values, we have;

$m \widehat{XZ}=360^{\circ}-248^{\circ}$

$m \widehat{XZ}=112^{\circ}$

Thus, the measure of arc XZ is 112°

5 0

3 years ago

Convert 100110 base two to a number in base three​

Convert 100110 base two to a number in base three