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3 years ago

Equivalent expression for (x+6)-5+9

Mathematics

1 answer:

Bumek [7]3 years ago

7 0

Answer:

x + 10

Step-by-step explanation:

$(x + 6) - 5 + 9 \\ = x + 6 + 4 \\ = x + 10$

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A football team had 32 players last year. This year, the team increased by 25%. How many players are on the team this year

qaws [65]

Answer:

<u>40 players</u>

Step-by-step explanation:

Well if it's a 25% increase and 32=100% then 25%=8 players because 32/4=8 then add it to 32 to get 40 players

3 0

2 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

A and B are complementary angles if angle a equals (X +24) and angle B equals (X +16) then what is the measurement of b

Hatshy [7]

If A and B are complementary angles, then they add up to 90 degrees.

So A + B = 90 => (x + 24) + (x + 16) = 90 => 2x + 40 = 90 => 2x = 50.

So x = 25, and thus, the measurement of B is (25 + 16) = 41.

The measurement of angle A is (25 + 24) = 49, and indeed they are complementary.

4 0

3 years ago

−6.2<−4.5, yet |−6.2|>|−4.5|. Use a number line to show why.

romanna [79]

Answer:

-27.9

Step-by-step explanation:

3 0

2 years ago

Identify an equation in slope intercept form for the line parallel to Y equals 4X -9 that passes through (-5,3)

Kobotan [32]

Slope intercept form of a line is y=mx+b where m= slope and b=y-intercept.

Now compare this form with the tiven equation y=4x-9 to get the value of m.

So, m= 4.

Slope of all parallel lines are always equal. Which means the line which is parallel to this has also the same slope: m=4.

Now we need to find the value of b to get the equation. That parallel line passes through (-5,3).

The point intercept form of a line is,

(y-y1)=m(x-x1)

So, we can plug in the m=4, x1=-5 and y1=3 in the above equation. Hence,

y-3=4(x-(-5))

y-3=4(x+5) Since -(-5)=+5

y-3=4x+20 By distributing property.

y=4x+20+3 Adding 3 to each sides.

y=4x+23

So, the slope-intercept form of that parallel line is y=4x+23.

7 0

2 years ago