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2 years ago

Whats 2/3 times negative 6/10

Mathematics

1 answer:

Fed [463]2 years ago

5 0

The answer is
$- \frac{2}{5}$

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A quantity P is an exponential function of time I, such that P = 160 when t = 6 and P = 150 when I = 4. Use the given informatio

Klio2033 [76]

Answer:

k = 0.032
P0 = 131.836

Step-by-step explanation:

Perhaps you want to use the points (t, P) = (4, 150) and (6, 160) to find the parameters P0 and k in the equation ...

$P(t)=P_0\cdot e^{kt}$

We know from the given points that we can write the equation as ...

$P(t)=150\left(\dfrac{160}{150}\right)^{(t-4)/(6-4)}=150\left(\dfrac{16}{15}\right)^{\frac{t}{2}-2}\\\\=150\left(\dfrac{16}{15}\right)^{-2}\times\left(\left(\dfrac{16}{15}\right)^{\frac{1}{2}}\right)^t$

Comparing this to the desired form, we see that ...

$P_0=150\left(\dfrac{16}{15}\right)^{-2}\approx 131.836\\\\e^{k}=\left(\dfrac{16}{15}\right)^{1/2}\rightarrow k=\dfrac{1}{2}(\ln{16}-\ln{15})\approx 0.0322693$

So, the approximate equation for P is ...

$P(t)=131.836\cdote^{0.032t}$

And the parameters of interest are ...

k = 0.032
P0 = 131.836

4 0

2 years ago

I need help on this question anyone please help

Bond [772]

Answer: B.

Step-by-step explanation:

the sum of 5 x 10 with exponent 4 would be 50,000.

multiply that by 12 and it would be 600,000, which is also equal to

6 x 10 with exponent 5.

hope this helps :)

4 0

2 years ago

27 in exponetial notation

docker41 [41]

Answer:

3^3

Step-by-step explanation:

3x3x3=27

7 0

2 years ago

Is 3 squared times 4 squared equal 12 squared ? Evaluate each side of the equation to explain your answer.

Nikolay [14]

Answer:

Nopes 3²+4²≠12²

Step-by-step explanation:

12²=144

3²+4²=

9+16=25

25≠144

To make it easier to see exactly WHY 3²+4²≠12² you can spread out the numbers in the equation.

(3·3)+(4·4)≠(12·12)

When solving equations you use PEMDAS (Parenthesis Exponents Multiplication Division Addition Subtraction). You have to solve in THAT ORDER.

7 0

2 years ago

Read 2 more answers

The area of a square with side a is S. What is the formula for dependence of S on a?

lawyer [7]

Answer:

S=a^2

Step-by-step explanation:

Note all sides of a square are equal, and the formula for finding the area is length x width of which the length=a and the with =a. So S=a^2.

4 0

2 years ago