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Charra [1.4K]
3 years ago
11

Simplify the expression. -5/8(-3/8-1/4) ​

Mathematics
1 answer:
prisoha [69]3 years ago
5 0

Answer:

25/64

Step-by-step explanation:

To get this answer, first you need to use the distributive property:

(-3/8)(-5/8) - (1/4)(-5/8)

Next, multiply:

15/64 - (-5/32)

Change the negative signs into a positive sign:

15/64 + 5/32

Multiply 5/32 by 2 on both top and bottom:

15/64 + (5)(2)/(32)(2)

You will then get:

15/64 + 10/64

Now, add the numerators. You will get:

25/64

This is your answer. I hope it helped!

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a group of astronauts launched a model rocket from a platform. Its flight path is modeled by h= -4t^2+24t+13 where h is the heig
Eddi Din [679]

Answer:

6.5 seconds

Step-by-step explanation:

Keep in mind that when h=0, this is the same height for both when the model rocket takes off and lands, so when the rocket lands, time is positive. Thus:

h=-4t^2+24t+13\\\\0=-4t^2+24t+13\\\\t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\t=\frac{-24\pm\sqrt{24^2-4(-4)(13)}}{2(-4)}\\ \\t=\frac{-24\pm\sqrt{576+208}}{-8}\\\\t=\frac{-24\pm\sqrt{576+208}}{-8}\\\\t=\frac{-24\pm\sqrt{784}}{-8}\\\\t=\frac{-24\pm28}{-8}\\\\t=\frac{-24-28}{-8}\\ \\t=\frac{-52}{-8}\\ \\t=\frac{52}{8}\\\\t=6.5

So, the amount of seconds that the model rocket stayed above the ground since it left the platform is 6.5 seconds

5 0
3 years ago
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What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
Mamont248 [21]

Answer: D.

Step-by-step explanation:

X+6

8 0
3 years ago
Can someone help me with 1-5 please because i’m really struggling
viva [34]

9514 1404 393

Answer:

  1. angle SVR = 30°
  2. angle PVR = 90°
  3. angle SVQ = 60°
  4. angle SVP = 120°
  5. angle RVQ = 30°

Step-by-step explanation:

As with finding distances on a number line, the easiest way is to subtract the smaller coordinate from the larger. Here, the "number line" is the arc at the edge of the protractor. The corresponding coordinates are ...

  S: 40°

  R: 70°

  Q: 100°

  P: 160°

The measure of an angle with its vertex at V will be the difference between the "coordinates" of the endpoints of the arc it intercepts. That is ...

  m∠SVR = "R" - "S" = 70° -40° = 30°

The other angles are found the same way:

  m∠PVR = 160° -70° = 90°

  m∠SVQ = 100° -40° = 60°

  m∠SVP = 160° -40° = 120°

  m∠RVQ = 100° -70° = 30°

3 0
4 years ago
4 1/2 divided by 4=?
Brut [27]

Answer:

1.125

Step-by-step explanation:

4.5/4

5 0
3 years ago
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Select ALL the correct answers.
Snowcat [4.5K]

Step-by-step explanation:

-2 (4x -15) -3 (5x^2 +7x +6 ) = -15x^2 -29x-12

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2 years ago
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