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3 years ago

Is 26,341 divisible by 3?

2 answers:

7 0

To find if a number is a divisible by 3, follow this process:

Add all the digits up.

2 + 6 + 3 + 4 + 1 = 16

16 is not divisible by 3.

Therefore, 26,341 is NOT divisible by 3.

shepuryov [24]3 years ago

3 0

No. 26,341 is not evenly divisible by 3 .

Here's the trick you can use to decide this
just by looking at a big number:

==> If a number is divisible by 3, then the
sum of its digits is divisible by 3.

I've never taken the trouble to figure out why this works,
but it does work. I didn't make it up. It's widely known.

So let's look at 26,341 .

The sum of the digits is (2 + 6 + 3 + 4 + 1) = 16 .

16 is not divisible by 3 , so 26,341 is not divisible by 3 .

Is that cool or what !

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Answer:

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Step-by-step explanation:

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3 years ago

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An object is propelled upward from the top of a 300 foot building. The path that the object takes as it falls to the ground can

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Answer:

As per the statement:

The path that the object takes as it falls to the ground can be modeled by:

h =-16t^2 + 80t + 300

where

h is the height of the objects and

t is the time (in seconds)

At t = 0 , h = 300 ft

When the objects hit the ground, h = 0

then;

-16t^2+80t+300=0

For a quadratic equation: ax^2+bx+c=0 ......[1]

the solution for the equation is given by:

$x = \frac{-b\pm \sqrt{b^2-4ac}}{2a}$

On comparing the given equation with [1] we have;

a = -16 ,b = 80 and c = 300

then;

$t= \frac{-80\pm \sqrt{(80)^2-4(-16)(300)}}{2(-16)}$

$t= \frac{-80\pm \sqrt{6400+19200}}{-32}$

$t= \frac{-80\pm \sqrt{25600}}{-32}$

Simplify:

$t = -\frac{5}{2}$ = -2.5 sec and $t = \frac{15}{2}$ = 7.5 sec

Time can't be in negative;

therefore, the time it took the object to hit the ground is 7.5 sec

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3 years ago

Last season two running back’s on the Steelers football team rushed or a combined total of 1550 yards one rushed four times as m

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Answer:

One ran 1240 yards the other ran 310 yards.

Step-by-step explanation:

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310 times 4 is 1240

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3 years ago

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Suppose a triangle has two sides of length 42 and 35, and that the angle between these two sides is 120 degrees. What is the len

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Answer:

Option D

Step-by-step explanation:

The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other and the given angle is the included angle. This means that the angle is formed by the intersection of the two lines. Therefore, cosine rule will be used to calculate the length of b. The cosine rule is:

b^2 = a^2 + c^2 - 2*a*c*cos(B).

The question specifies that a=42, B=120°, and c=35. Plugging in the values:

b^2 = 42^2 + 35^2 - 2(42)(35)*cos(120°).

Simplifying gives:

b^2 = 4459.

Taking square root on the both sides gives b = 66.78 (rounded to the two decimal places).

This means that the length of the third side is 66.78 units!!!

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2 years ago

Annual starting salaries for college graduates with degrees in business administration are generally expected to be between 2000

ehidna [41]

Answer:

The planning value for the population standard deviation is of 4330.

Step-by-step explanation:

Uniform probability distribution:

The uniform probability distribution has two bounds, a and b. The standard deviation is given by:

$S = \sqrt{\frac{(b-a)^2}{12}}$

Annual starting salaries for college graduates with degrees in business administration are generally expected to be between 20000 and 35000.

Uniform in this interval, so $a = 20000, b = 35000$

What is the planning value for the population standard deviation?

$S = \sqrt{\frac{(35000 - 20000)^2}{12}} = 4330$

The planning value for the population standard deviation is of 4330.

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2 years ago