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4 years ago

A certain natural number is not divisible by 7. Can it be divisible by 14, explain why or why not

1 answer:

3 0

For a number to be divisible by 14 it needs to be both divisible by 7 and 2 which are factors of 14. Every time you have a number (x) to check if it is divisible by some larger number you find the factor of that larger number and check is the x divisible by both.

Answer: it cannot be divisible by 14.

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Find the value of x and y. (1 point) I need help ASAP

frosja888 [35]

4x + 2 = 62
4x = 62 - 2
4x = 60
x = 60/4
x = 15 <===

12y = 144
y = 144/12
y = 12 <===

alternate interior angles are congruent

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3 years ago

Check the box labeled Show Altitude of Triangle ABC. The altitude divides into and through the point you determined in question

maw [93]

Answer:

Step-by-step explanation:

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3 years ago

A fish is swimming at 500 KM/hour and suddenly as shark appears behind, for 5 seconds the fish is swimming in the same direction

trasher [3.6K]

Answer:

$a =111.1\ m/s^2$

Step-by-step explanation:

The formula to calculate the average acceleration is:

$a =\frac{s_2-s_1}{t_2-t_1}$

Where <em>s</em> is the speed of the object and <em>t </em>is the time it takes the object to change its speed $s_1$ to the speed $s_2$

In this case we have that:

$t_2-t_1 = 5\ sec$

$s_1 = 500\ km/h = 500*\frac{1\ h}{3600\ s}*\frac{1000\ m}{1\ km}=138.89\ m/s$

$s_2= 2500\ km/h = 2500*\frac{1\ h}{3600\ s}*\frac{1000\ m}{1\ km}=694.44\ m/s$

$a =\frac{694.44-138.89}{5}\ m/s^2$

$a =111.1\ m/s^2$

5 0

3 years ago

Find the particular solution to y ' = 4sin(x) given the general solution is y = c - 4cos(x) and the initial condition y of pi ov

Lana71 [14]

The general solutions always have some additive/multiplicative constant, that you must fix in the particular solution.

In order to do so, you need to impose that the particular solution passes through a certain point. In your case, you have

$y(x) = c-4\cos(x)$

and you want

$y\left(\dfrac{\pi}{2}\right) = 2$

Put everything together, and you have

$y\left(\dfrac{\pi}{2}\right) = c-4\cos\left(\dfrac{\pi}{2}\right) = c = 2$

Since the cosine is zero in the chosen point. So, we've fixed the value of the constant, and the particular solution is found:

$y(x) = 2-4\cos(x)$

4 0

3 years ago

The results of a study exhibit response bias. Select the statement that best describes the bias in the study.

dmitriy555 [2]

Answer:

"The interviewer for the study did not record the responses of the subjects accurately." I believe this is most pertinent. B, or the boss of the subjects, could have been an answer, but if all members associated in the study exhibit the similar level of response bias based upon superior employers, then the study remains somewhat accurate, but C, or inaccurate record of responses, would remain biased entirely.

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers