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scoundrel [369]
3 years ago
6

3 less than one fourth of a number

Mathematics
1 answer:
Margaret [11]3 years ago
5 0

Answer:

one fourth a number minus three

¼x-3

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In the xy plane, what is the y intercept of the graph of the equation y=2 (x+3)(x+4)?
olga2289 [7]
The y-intercept is the value of y when the graph intersects the y-axis.  Graphs intersect the y-axis when x=0, so we just substitute in x=0 to get:

y=2(0+3)(0+4)

y=2(3)(4)

y=24

Therefore, 24 is our answer.

Hope I helped :)
4 0
3 years ago
Please could ya help a girl
Illusion [34]

Answer:

A princess is stuck at the top of a tower that is 20 ft tall. To get down she shoots an arrow with rope attached into the ground and it lands 15 ft away from the tower. how long is the rope to safely guide her onto the ground.

Step-by-step explanation:

using the Pythagorean theory which is a squared plus b squared equals c squared you will see that 20 squared plus 15 squared will equal 625. Once you have that answer you find the square root of 625 which will give you your overall answer of 25.

3 0
3 years ago
Let n be any natural number greater than 1. Explain why the numbers n! 2, n! 3, n! 4, ..., n! n must all be composite. (This exe
bagirrra123 [75]

Answer:

Because each term of the sequence generates numbers with more than 1 and itself as dividers

Step-by-step explanation:

Just for the sake of correction.

1. Explain\: why\: the\: numbers\: n! +2, n!+ 3, n!+ 4, ..., n! \\n \:must\: all\: be\: composite.

1) Let's consider that

n! =n(n-1)(n-2)(n-3)...

2)And examine some numbers of that sequence above:

n!+2

Every Natural number plugged in n, and added by two will a be an even number not only divisible by two, but in some cases by other numbers for example,n=4, then 4!+2=26 which has four dividers.

3) Similarly, the same happens to

n!+3 and n!+4

Where we can find many dividers.

There's an example of a sequence, let's start with a prime number greater than 1

Let n=11

\left \{ n!+2,n!+3,n!+4,n!+5,n!+6,...n!+n. \right \}\\\left \{ 11!+2,11!+3,11!+4,11!+5,11!+6,11!+7,11!+8,...11!+11 \right \}\\\\

That's a long sequence of consecutive composite numbers, n=11.

\left \{39916802, 39916803,39916804,39916805,39916806,39916807,...,39916811,39916812 \right \}

4 0
3 years ago
Write a rule for the given transformation.
scZoUnD [109]

Answer:

Your answer is B

Step-by-step explanation:

7 0
3 years ago
A 60-watt light bulb advertises that it will last 1500 hours. The lifetimes of these light bulbs is approximately normally distr
Ad libitum [116K]

Answer:

The proportion of these light bulbs that will last less than the advertised time is 18.94% or 0.1894

Step-by-step explanation:

The first thing to do here is to calculate the z-score

Mathematically;

z-score = (x - mean)/SD

= (1500-1550)/57 = -50/57 = -0.88

So the proportion we will need to find is;

P( z < -0.88)

We shall use the standard score table for this and our answer from the table is 0.1894 which is same as 18.94%

8 0
3 years ago
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