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Umnica [9.8K]
3 years ago
10

I will mark u brainleiest if u help me and 5 stars

Mathematics
2 answers:
Gennadij [26K]3 years ago
8 0

Answer:

\boxed{50}

Step-by-step explanation:

Because the initial temperature is 40 degrees and it increases by 10, add the two values together to get the final temperature.

40 + 10 = 50

Therefore, the final answer is 50 degrees.

IRISSAK [1]3 years ago
5 0

Answer:

50

Step-by-step explanation:

If it starts at 40 degrees and increases 10 degrees, it is going to be 50 degrees.  Increases means adding, so it is asking you to add 10 to 40 which is 50.  If it asks decreases in the future you will have to subtract.

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I used Cauchy-Schwarz inequality but it took too much time to finish. Is there any way faster?​
ExtremeBDS [4]

Answer:

x = 1, x = -1

Step-by-step explanation:

Given 4(2^{2x}+2^{-2x})-4(2^x+2^{-x})-7=0

Use substitution

t=2^x+2^{-x}

Square previous equality:

t^2=(2^x+2^{-x})^2\\ \\t^2=(2^{x})^2+2\cdot 2^x\cdot 2^{-x}+(2^{-x})^2\\ \\t^2=2^{2x}+2\cdot 2^{x-x}+2^{-2x}\\ \\t^2=2^{2x}+2\cdot 2^0+2^{-2x}\\ \\t^2=2^{2x}+2\cdot 1+2^{-2x}\\ \\t^2=2^{2x}+2+2^{-2x}\\ \\2^{2x}+2^{-2x}=t^2-2

Substitute it into the equation:

4(t^2-2)-4t-7=0\\ \\4t^2-8-4t-7=0\\ \\4t^2-4t-15=0

Solve this quadratic equation:

D=(-4)^2-4\cdot 4\cdot (-15)=16+16\cdot 15=16(1+15)=16\cdot 16\\ \\\sqrt{D}=16\\ \\t_{1,2}=\dfrac{-(-4)\pm 16}{2\cdot 4}=\dfrac{4\pm 16}{8}=\dfrac{5}{2},\ -\dfrac{3}{2}

Note that

2^x>0\\ \\2^{-x}>0,

then

t=2^x+2^{-x}>0,

so

2^x+2^{-x}=\dfrac{5}{2}

Solve this equation using substitution

2^x=u\\ \\2^{-x}=\dfrac{1}{2^x}=\dfrac{1}{u}

Thus,

u+\dfrac{1}{u}=\dfrac{5}{2}\\ \\2u^2+2=5u\ \ [\text{Multiplied by 2u}]\\ \\2u^2-5u+2=0\\ \\D=(-5)^2-4\cdot 2\cdot 2=25-16=9\\ \\\sqrt{D}=3\\ \\u_{1,2}=\dfrac{-(-5)\pm 3}{2\cdot 2}=\dfrac{5\pm 3}{4}=2,\ \dfrac{1}{2}

Now,

u=2\Rightarrow 2^x=2,\ x=1\\ \\2^x=\dfrac{1}{2}\Rightarrow 2^x=\dfrac{1}{2}=2^{-1},\ x=-1

7 0
3 years ago
To ship a package, a freight carrier charges $0.75 for the first pound and $0.25 for every pound (or part of a pound) over the f
Hatshy [7]
Answers: Weight - 7.62 pounds, Cost - $2.50

When we convert 3,456 grams into pounds, we get 7.62 pounds (rounded to the nearest hundredth). We can subtract the first pound off since we know that will cost $0.75 (7.62 - 1 = 6.62 pounds). Now we must round 6.62 up to 7 pounds and multiply that by the price for every pound or part of a pound (7 x 0.25 = $1.75). Now you combine both the cost of the initial pound and the cost of every pound or part of a pound over the first to get your final cost. ($0.75 + $1.75 = $2.50)
5 0
3 years ago
250% of what number is 90
katrin2010 [14]
The equation out of this is; what is 250/100 of a number x = 90?
=> Division of 250 by 100 gives 2.5.
=> Now multiply 2.5 by a number x resulting to 2.5x on the L.H.S.
=> make x the subject and come up with x = 90/2.5.
answer is 1/36.
4 0
3 years ago
What does it mean to add a negative number?
Andreas93 [3]

Answer:

The exact same as subtracting.

Example

5 + (-2) = 3

5 0
3 years ago
Read 2 more answers
What is the value of 9.6 x 12.643?
Leya [2.2K]
The answer is 121.3728
6 0
3 years ago
Read 2 more answers
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