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MrRissso [65]
2 years ago
12

Add and make it lowest term:3/4+9/10

Mathematics
1 answer:
stealth61 [152]2 years ago
4 0

Answer:

1 13/20

Step-by-step explanation:

3/4+9/10 = 15/20+18/20=33/20

33/20 as a mixed number is 1 13/20 which is in lowest terms.

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What is the image of the point (-1,-2)after a rotation of 180∘
igor_vitrenko [27]

Answer:

The image of the point is (1, 2)

Step-by-step explanation:

  • If the point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)
  • If the point (x, y) rotated about the origin by angle 180° counterclockwise, then its image is (-x, -y)
  • If the point (x, y) rotated about the origin by angle 270° counterclockwise, then its image is (y, -x)

Let us use the rules above to solve the question

∵ The point (-1, -2) is rotated 180° counterclockwise about the origin

→ By using the 2nd rule above change the signs of x and y coordinates

∴ Its image is (1, 2)

∴ The image of the point is (1, 2)

4 0
3 years ago
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egoroff_w [7]
STAN TXT AND STREAM IF BORED
3 0
3 years ago
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Alisha is drawing a map of her school. She is not able to draw the map to scale because it would be too large. Each centimeter o
arsen [322]

Here we want to see which one of the given graphs is the one with the correct relationship between distance in centimeters and meters. We will see that the correct option is the first graph.

<h3>Working with changes of scale.</h3>

So we know that each centimeter on the map must represent 4 meters in reality, this is a change of scale, so the scale is:

1cm = 4m

First, this relation is linear (each centimeter will always be equal to 4 meters) so the two bottom options that are not linear can be discarded, so we only have the first and second graph.

If you read them, you can see that in the second one 1 meter is equivalent to something near 5 cm, so this is also incorrect.

The only graph that shows a correct scale is the first one, where for each increment of 1 unit on the horizontal axis (the one in centimeters) we have an increase of 4 m (estimated). This means that 1cm = 4m, as in our change of scale.

So the correct option is the first graph.

If you want to learn more about changes of scale, you can read:

brainly.com/question/9302261

4 0
2 years ago
-5,-2 5,-4 what's the slope
bekas [8.4K]

Answer:

Slope = -1/5

Step-by-step explanation:

(-5, -2)(5, -4)

Slope: \frac{y^{2}-y^{1}  }{x^{2}- x^{1} } = \frac{-4-(-2)}{5-(-5)} =\frac{-4+2}{5+5} =\frac{-2}{10}=-\frac{1}{5}

7 0
2 years ago
Read 2 more answers
Fiona invested $1000 at 7% compounded continuously. At the same time, Maria invested $1100 at 7% compounded daily. How long will
Natali [406]

9514 1404 393

Answer:

  14,201 years

Step-by-step explanation:

The two compound interest formulas are ...

  A = P·e^(rt) . . . . . continuous compounding at rate r for t years

  A = P·(1 +r/365)^(365t) . . . . . daily compounding at rate r for t years

We went the amounts to be equal:

  1000·e^(0.07t) = 1100·(1+0.07/365)^(365t)

Dividing by 1000(1 +0.07/365)^(365t), we have ...

  ((e^0.07)/(1+0.07/365)^365)^t = 1.1

The base of the exponential on the left is ...

 ( e^0.07)/(1+0.07/365)^365 ≈ 1.00000671149321522

Taking logs, we have ...

  t×ln(1.00000671149321522) = ln(1.1)

  t = ln(1.1)/ln(1.00000671149321522) ≈ 0.09531018/(6.7114704·10^-6)

  t ≈ 14,201.09 . . . . . years

It will take about 14,201 years for the investments to be equal.

_____

<em>Additional comment</em>

The investment value at that time will be about $5.269·10^434. (That's a larger number than <em>anything</em> countable in the known universe, including energy quanta.)

These calculations are beyond the ability of many calculators, so might need to be carefully rewritten if the calculator only keeps 10 significant digits, or only manages exponents less than 100.

This shows that daily compounding is very close in effect to continuous compounding. It would take almost 150 years to make a difference of 0.1% in value.

4 0
3 years ago
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