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Wewaii [24]
3 years ago
7

Review the graph of function g(x).

Mathematics
1 answer:
makkiz [27]3 years ago
5 0

Answer:

0-6 de correct answer okay.

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An object falls from a position of rest and
kumpel [21]

Answer:

About 4.1323 meters.

Step-by-step explanation:

We can use the following kinematic equations:

\displaystyle v_f  = v_0 + at \text{ and } \Delta d = v_0 t + \frac{1}{2} at^2

We want to determine the distance the object has dropped after falling from rest and reaching an instantenous speed of 9 m/s.

We are given that the acceleration due to gravity is 9.8 m/s².

Using this fact and the first equation, find the time for which it took the object to reach 9 m/s. Note that the initial velocity is 0 m/s since the object started from rest.

\displaystyle \begin{aligned} v_f = v_0 + at \\ \\ (9\text{ m/s}) & = (0\text{ m/s}) + (9.8\text{ m/s$^2$})t \\ \\ 9\text{ m/s} & = (9.8 \text{ m/s$^2$})t \\ \\ t &\approx0.9184 \text{ s} \end{aligned}

To find how far the object dropped, we can use the second equation:

\displaystyle\begin{aligned}  \Delta d & = v_0 t + \frac{1}{2} at^2 \\ \\  & = (0\text{ m/s})(0.9184 \text{ s}) + \frac{1}{2}(9.8 \text{ m/s$^2$})(0.9184 \text{ s})^2 \\ \\ & = 4.1323 \text{ m} \end{aligned}

In conclusion, the object would have dropped about 4.1323 meters.

6 0
3 years ago
The test statistic of z equals negative 1.37 is obtained when testing the claim that p equals1 divided by 4. a. Using a signific
spin [16.1K]

Answer: a) critical value = 0.0853, b) we reject the null hypothesis.

Step-by-step explanation:

Since we have given that

z = -1.37

And the hypothesis are given below:

H_0:p=\dfrac{1}{4}=0.25\\\\H_1:p\neq 0.25

Since α = 0.01

since critical value = 0.0853

As we can see that 0.853 < 0.25.

so, we reject the null hypothesis.

Hence, a) critical value = 0.0853, b) we reject the null hypothesis.

6 0
3 years ago
Penelope is now 3 times the age of jaslin. If jaslin will be 12 in 3 years, how many years ago was Penelope 13 years ago?
shusha [124]

Answer:

Penelope is 14 years old.

Step-by-step explanation:

- Jaslin is 9 years old (since she'll be 12 in 3 years)

- So, you multiply 9 by 3 (since Penelope is 3 times Jaslin's age), which gives you 27.

- Then minus 13 from 27 (since we're solving for how old Penelope was 13 years ago), which gives you 14

Hope this helps!

6 0
2 years ago
The hypotenuse of a right triangle is 15 cm long. One of the triangles legs is two times the length of the other leg
jolli1 [7]

Answer:If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse

8 0
3 years ago
Convert 4 ⅓ to an improper fraction.
morpeh [17]

Answer:

13/3

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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