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3 years ago

For a-b, reduce to the least non-negative residue

Mathematics

1 answer:

Olenka [21]3 years ago

3 0

Answer:

a. 6

b. 9

Step-by-step explanation:

a. The product modulo 7 can be found from the product of the individual numbers modulo 7:

(88·95·36·702) mod 7 = (88 mod 7)·(95 mod 7)·(36 mod 7)·(703 mod 7) mod 7

= (4·4·1·3) mod 7 = 48 mod 7 = 6

b. Powers of 4 mod 11 repeat with period 5:

4 mod 11 = 4

4^2 mod 11 = 5

4^3 mod 11 = 9

4^4 mod 11 = 3

4^5 mod 11 = 1

So, 4^83 mod 11 = 4^3 mod 11 = 9

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Helia invested 4000 AED for 3 years with a compound interest rate of 1.5%, Calculate the worth of her investment at the end of t

sineoko [7]

Answer:

4180 AED

Step-by-step explanation:

Given data

Principal= 4000

Time= 3 years

Rate= 1.5%

The compound interest expression is given as

A= P(1+r)^t

substitute

A=4000(1+0.015)^3

A= 4000(1.015)^3

A= 4000*1.045

A= 4180

Hence the worth will be 4180 AED

6 0

3 years ago

Estimate 3 2/5 to the nearest integer

pickupchik [31]

4 is the nearest integer

as a decimal this number would be 3.5, which would round up to 4.

8 0

2 years ago

Please help me with this problem

victus00 [196]

Answer:

Step-by-step explanation:

$y+3=\sqrt{\frac{x}{16}+2 } \\y=\sqrt{\frac{x+32}{16} } -3\\y=\frac{1}{4} \sqrt{x-(-32)} +(-3)\\so ~C$

5 0

2 years ago

twinlakes on the shelf of a covenience store lose their fresh tastines over time. we say that the taste quality is 1 when the tw

Zolol [24]

Answer:

The graph is shown below.

The time to make the taste to half is <u>4.265 s.</u>

Step-by-step explanation:

Given:

Initial value of the taste is, $Q_0=1$

Therefore, the quality of taste over time 't' is given as:

$Q(t)=Q_0(0.85)^t\\Q(t)=1(0.85)^t$

Now, when the taste reduces to half, $Q=0.5$

Therefore,

$0.5=1(0.85)^t$

Taking natural log on both the sides, we get:

$\ln(0.5)=\ln(0.85)^t\\\ln(0.5)=t\ln(0.85)\\t=\frac{ln(0.5)}{\ln(0.85)}=4.265\ s$

Therefore, the time to make the taste to half is <u>4.265 s.</u>

4 0

2 years ago

What did I do wrong when finding out the sector area? I know the answer I got is wrong so can someone please help me

bonufazy [111]

I believe your mistake is that you are trying to use the sector area formula ti find arc length when there is already a formula for it.
The formula for it is
$2r\pi( \frac{degree}{360} )$
So first substitute the values in and then simplify!
$2(10.5)\pi( \frac{118}{360} )$
Now simplify!
21 × 118 is 2478 so it's
$\frac{2478}{360} \pi$
When divided ou and multiplied, this is 21.62cm!

4 0

3 years ago