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Ipatiy [6.2K]
3 years ago
10

How many sets of four consecutive positive integers are there such that the product of the four integers is less than $100,\!000

$
Mathematics
1 answer:
SVEN [57.7K]3 years ago
4 0

Answer:

16,17,18,19

Step-by-step explanation:

one guy guessed. probably using a calculator

another guy took the 4th root of 100,000 and rounded down a number

(a third way started like this

n*(n+1)*(n+2)(n+3)=100000

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If y=1/2 when x=2, find y when x=3, given that y varies directly with x
Lelu [443]
\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=\frac{1}{2}\\
x=2
\end{cases}\implies \cfrac{1}{2}=k2\implies \cfrac{1}{4}=k
\\\\\\
\boxed{y=\cfrac{1}{4}x}
\\\\\\
\textit{when x=3, what is \underline{y}?}\qquad y=\cfrac{1}{4}\cdot 3
4 0
3 years ago
What is the equation of a line that passes through points (2,0) and (6,-4)
romanna [79]

Answer:

y = -x + 2

Step-by-step explanation:

We are asked to find the equation of a line

Step 1: find the slope

We are given two points

( 2 , 0) ( 6 , -4)

m = (y_2 - y_1 )/ (x_2 - x_1)

x_1 = 2

y_1 = 0

x_2 = 6

y_2 = -4

Insert the values

m = ( -4 - 0) / ( 6 - 2)

m = -4 / 4

m = -1

Step 2 : substitute m into the equation

y = mx + c

y = -1x + c

Step 3: substitute any of the two points into the equation

Let's pick ( 6 , -4)

x = 6

y = -4

y = mx + c

y = -1x + c

-4 = -1(6) + c

-4 = -6 + c

c = -4 + 6

c = 2

Step 4: substitute c = 2 into the equation

y = mx + c

y = -x + c

y = -x + 2

5 0
3 years ago
Please help!! and please show the work and the answer!!
kumpel [21]

Company 1: (24 + 26 + 28 + 23 + 21) / 5 (this is how many numbers added together) = 24.4

Company 2: (6 + 32 + 9 + 31 + 21) / 5 = 19.8

Company 3 (15 + 15 + 15 + 15 + 15) / 5 = 15

Company 4: (13 + 10 + 45 + 12 + 15) / 5 = 19

Company 1 has the longest average commute time per employee.

5 0
3 years ago
29.19 ÷ 0.3<br> Round your answer to the nearest hundredth.
Kobotan [32]

Answer: 97.0

Step-by-step explanation:

6 0
3 years ago
in a materity ward of a hospital, weights of newborns are normally distributed with a mean of 120 oz and a standard deviation of
sveticcg [70]

Answer:

Answer: (0.974, 1.056) liters

Step-by-step explanation:

7 0
3 years ago
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