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zloy xaker [14]

3 years ago

6

What is 441,902 rounded to the nearest ten thousand?

1 answer:

Marina CMI [18]3 years ago

6 0

Answer:

440,000

Step-by-step explanation:

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A floor lamp costs $21 less than a $99 painting. How much does the floor lamp cost?

lesya [120]

99-21=78

Answer:The floor lamp costs $78

6 0

3 years ago

Read 2 more answers

The core melt- down and explosions at the nuclear reactor in Chernobyl in 1986 released large amounts of strontium-90, which dec

elena-14-01-66 [18.8K]

If $S(t)$ is the amount of strontium-90 present in the area in year $t$ , and it decays at a rate of 2.5% per year, then

$S(t+1)=(1-0.025)S(t)=0.975S(t)$

Let $S(0)=s$ be the starting amount immediately after the nuclear reactor explodes. Then

$S(t+1)=0.975S(t)=0.975^2S(t-1)=0.975^3S(t-2)=\cdots=0.975^{t+1}S(0)$

or simply

$S(t)=0.975^ts$

So that after 50 years, the amount of strontium-90 that remains is approximately

$S(50)=0.975^{50}s\approx0.282s$

or about 28% of the original amount.

We can confirm this another way; recall the exponential decay formula,

$S(t)=se^{kt}$

where $t$ is measured in years. We're told that 2.5% of the starting amount $s$ decays after 1 year, so that

$0.975s=se^k\implies k=\ln0.975$

Then after 50 years, we have

$S(50)=se^{50k}\approx0.282s$

5 0

2 years ago

Coefficiants of (2x+y)^4

sattari [20]

By the binomial theorem,

$(2x+y)^4=\displaystyle\sum_{k=0}^4\binom 4k(2x)^{4-k}y^k=\sum_{k=0}^4\binom 4k2^{4-k}x^{4-k}y^k$

where

$\dbinom nk=\dfrac{n!}{k!(n-k)!}$

Then the coefficients of the $x^{4-k}y^k$ terms in the expansion are, in order from $k=0$ to $k=4$ ,

$\dbinom 402^{4-0}=1\cdot2^4=16$

$\dbinom412^{4-1}=4\cdot2^3=32$

$\dbinom422^{4-2}=6\cdot2^2=24$

$\dbinom432^{4-3}=4\cdot2^1=8$

$\dbinom442^{4-4}=1\cdot2^0=1$

3 0

3 years ago

Help me plz mathhh ill give brainliest

NISA [10]

Answer:

afb= 90

cfd= 62

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

One increased by 7 times a number is the same as 5 times the number plus 25

sammy [17]

Answer:

12

Step-by-step explanation:

Let the number = x

7x + 1 = 5x + 25 Subtract 5x from both sides.

7x - 5x + 1 = 5x - 5x + 25 Combine

2x + 1 = 25 Subtract 1 from both sides.

2x + 1 - 1 = 25-1 Combine

2x = 24 Divide by 2

2x/2 = 24/2

x = 12

4 0

2 years ago