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jenyasd209 [6]
3 years ago
8

Explain how you could use the distributive property and mental math to find 5x198

Mathematics
1 answer:
borishaifa [10]3 years ago
5 0
You have to break up the number into hundreds, tens, and ones then add their products together

5*100=500
5*90=450
5*8=40

500+450+40=990

5*198=990
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Can anyone pls help me to solve question 2 f and g and pls provide me a explanation I’m with that questions for three days
zvonat [6]

Answer:

  f)  a[n] = -(-2)^n +2^n

  g)  a[n] = (1/2)((-2)^-n +2^-n)

Step-by-step explanation:

Both of these problems are solved in the same way. The characteristic equation comes from ...

  a[n] -k²·a[n-2] = 0

Using a[n] = r^n, we have ...

  r^n -k²r^(n-2) = 0

  r^(n-2)(r² -k²) = 0

  r² -k² = 0

  r = ±k

  a[n] = p·(-k)^n +q·k^n . . . . . . for some constants p and q

We find p and q from the initial conditions.

__

f) k² = 4, so k = 2.

  a[0] = 0 = p + q

  a[1] = 4 = -2p +2q

Dividing the second equation by 2 and adding the first, we have ...

  2 = 2q

  q = 1

  p = -1

The solution is a[n] = -(-2)^n +2^n.

__

g) k² = 1/4, so k = 1/2.

  a[0] = 1 = p + q

  a[1] = 0 = -p/2 +q/2

Multiplying the first equation by 1/2 and adding the second, we get ...

  1/2 = q

  p = 1 -q = 1/2

Using k = 2^-1, we can write the solution as follows.

The solution is a[n] = (1/2)((-2)^-n +2^-n).

 

5 0
3 years ago
Please help me!! I am struggling... I will not accept nonsense answers!
telo118 [61]

Answer:

y = 110°

Step-by-step explanation:

The inscribed angle CHF is half the measure of its intercepted arc CDF

The 3 arcs in the circle = 360°, thus

arc CDF = 360° - 160° - 60° = 140°, so

∠ CHF = 0.5 × 140° = 70°

∠ CHF and ∠ y are adjacent angles and supplementary, thus

y = 180° - 70° = 110°

6 0
3 years ago
I made my own tricky math question. But I don't know if its tricky for you. Amelia has 1 notebook on her desk, she put her noteb
fomenos

Answer:

1 thing, her pouch

Step-by-step explanation:

you sayed that she took her notebook away and the only thing onher desk is her pouch

5 0
3 years ago
Polygons QRST and Q′R′S′T′ are shown on the following coordinate grid:
Rudik [331]
ANSWER : QR is the answer
3 0
3 years ago
Jessica can build a bookshelf in 4 hours. Sydney can build a bookshelf in 6 hr. How long will it take them if they build the boo
Dominik [7]

Answer:

2 hours

Step-by-step explanation:

i think

4 0
3 years ago
Read 2 more answers
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