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2 years ago

How do I convert these probs? into base 10 4120_7, A3B_12, WXYZ_36

Mathematics

1 answer:

natali 33 [55]2 years ago

7 0

4120_7 = 4•7³ + 1•7² + 2•7¹ + 0•7⁰

4120_7 = 4•343 + 1•49 + 2•7 + 0•1

4120_7 = 1372 + 49 + 14

4120_7 = 1435

In base 12, we use the digits 0-9 as well as A for 10 and B for 11. So

A3B_12 = 10•12² + 3•12¹ + 11•12⁰

A3B_12 = 10•144 + 3•12 + 11•1

A3B_12 = 1440 + 36 + 11

A3B_12 = 1487

In base 36, we assign values between 10 and 35 to the letters A-Z, so that

WXYZ_36 = 32•36³ + 33•36² + 34•36¹ + 35•36⁰

WXYZ_36 = 32•46656 + 33•1296 + 34•36 + 35•1

WXYZ_36 = 1492992 + 42768 + 1224 + 35

WXYZ_36 = 1537019

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the price of a car increases in the ratio 11:8. What is the new price of a car which originally cost 25600?

sertanlavr [38]

I believe the answer would be 18,618

25,600/11= 2,327
2327*8= 18,618

hope this helped

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3 years ago

Evaluate the function, find f(-2):<br>f(x) = 2x² + 3x

prisoha [69]

Answer:

Step-by-step explanation:

f(-2) = 2(-2)^2 +3(-2)

f(-2)=2

where ever you see x you put -2 there

i hope this helps

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3 years ago

A 1 km long train travelling at a speed of 60km/h enter a tunnel 1km long. What time will the train take to come out of the tunn

zysi [14]

Answer:

2 minutes

Step-by-step explanation:

The front of the train enters the tunnel and travels 1 km before the rear of the train enters the tunnel. Thus, the total distance traveled by the front of the train is 2 km, and this is covered in a certain number of hours:

Since distance = rate times time, time = distance / rate. In this particular case we have:

2 km

time = distance / rate = ------------------- = (1/30) hr

60 km/hr

(1/30) hr converts to 2 minutes, since 1 hr = 60 minutes

3 0

2 years ago

The vertices of ΔABC are A(−3,4), B(−2,4), and C(−5,2). If ΔABC is reflected across the line y=−2 to produce the image ΔA'B'C

Mumz [18]

The coordinates of vertex B' is $P'(x,y) = (-2, -8)$ .

<h3>How to calculate the coordinate of point by reflection</h3>

A point if reflected across the line $y = -2$ by means of the following formula:

$P'(x,y) = P(x,y)+2\cdot [(x_{P}, -2)-P(x,y)]$ (1)

Where:

$P(x,y)$ - Original point
$x_{P}$ - x-Coordinate of point P
$P'(x,y)$ - Resulting point

If we know that $P(x,y) = (-2,4)$ and $x_{P} = -2$ , then the coordinates of the vertex is:

$P'(x,y) = (-2, 4) + 2\cdot [(-2,-2)-(-2,4)]$

$P'(x,y) = (-2, 4) +2\cdot (0, -6)$

$P'(x,y) = (-2, 4) + (0,-12)$

$P'(x,y) = (-2, -8)$

The coordinates of vertex B' is $P'(x,y) = (-2, -8)$ . $\blacksquare$

To learn more on reflections, we kindly invite to check this verified question: brainly.com/question/1878272

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2 years ago

Which equation has the solution x = 6?

ratelena [41]

Answer:

1/4x+1/2=1/3x

Step-by-step explanation:

by solving for x. simplifying both sides of the equation, then isolating the variable.

8 0

3 years ago

Read 2 more answers