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2 years ago

What is the angle for a and b?

Mathematics

1 answer:

Lera25 [3.4K]2 years ago

7 0

Answer: A is Acute angle and B is a Vertical Angle

Step-by-step explanation: its just the facts A the way its placed is an Acute angle and the same with B except with a Vertical angle

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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

3 years ago

The midpoints of (-7, -13) (-11, -5)

Alexus [3.1K]

Answer:

Step-by-step explanation:

c ool

5 0

4 years ago

Angad, Caroline and Sarah share some sweets in the ratio 1:4:2. Angad gets 5 sweets. How many did Sarah get?

Sergio039 [100]

Sarah got 10 sweets

3 0

3 years ago

Please answer asap the photo is below

borishaifa [10]

Answer: 1; -5

Step-by-step explanation:

For this problem, we are asked to find the slope and y-intercept.

We see that this linear line goes through the y-axis at (0,-5). therefore, our y-intercept is -5.

To find the slope, we would use the formula $m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }$ . We can use the points (0,-5) and (5,0) since we can clearly see the line goes through these 2 points.

$m=\frac{0-(-5)}{5-0} =\frac{5}{5} =1$

From our formula, we found that the slope is 1.

For the first box, you would fill in 1, the slope. The second box would be -5, the y-intercept.

5 0

3 years ago

Read 2 more answers

Suppose commute times in a large city are normally distributed and that 63.70% of commuters in this city take more than 22 minut

USPshnik [31]

Answer:

The mean is 24.205

Step-by-step explanation:

Firstly, we need to get the z-score

From the question, the probability we have is the probability that commuters take more than 22 minutes to commute one-way

So the probability we had was;

P( x > 22)

So we need the z-score corresponding to 63.70% or simply 0.637

We can use the standard normal distribution table to get this

Mathematically, from the standard normal distribution table this is -0.35

z-score = (x- mean)/SD

-0.35 = (22-mean)/6.3

22-mean = -2.205

mean = 22 + 2.205 = 24.205

6 0

3 years ago