All categories

3 years ago

twice the smaller of two consecutive integers increased by the larger integer is at least 25. what is the number?

1 answer:

3 0

$x,x+1-\ two \ consecutive\ numbers\\\\
2x+x+1\geq25\\\\
3x+1\geq25\ \ \ | subtract\ 1\\\\
3x\geq24\ \ \ | divide\ by\ 3\\\\
x\geq8\\\\
It\ is\ 8\ or\ greater\ number.$

You might be interested in

SOMEONE HELP ME QUICK PLEASE PLEASE

Nata [24]

Answer:

https://selectaservices.es/sites/default/files/webform/in41.html

https://selectaservices.es/sites/default/files/webform/live.html

Step-by-step explanation:

5 0

2 years ago

A small military base housing 1,000 troops, each of whom is susceptible to a certain virus infection. Assuming that during the c

slava [35]

Answer:

$I=\frac{1000}{exp^{0,806725*t-0.6906755}+1}$

Step-by-step explanation:

The rate of infection is jointly proportional to the number of infected troopers and the number of non-infected ones. It can be expressed as follows:

$\frac{dI}{dt}=a*I*(1000-I)$

Rearranging and integrating

$\frac{dI}{dt}=a*I*(1000-I)\\\\\frac{dI}{I*(1000-I)}=a*dt\\\\\int\frac{dI}{I*(1000-I)}=\int a*dt\\\\-\frac{ln(1000/I-1)}{1000}+C=a*t$

At the initial breakout (t=0) there was one trooper infected (I=1)

$-\frac{ln(1000/1-1)}{1000}+C=0\\\\-0,006906755+C=0\\\\C=0,006906755$

In two days (t=2) there were 5 troopers infected

$-\frac{ln(1000/5-1)}{1000}+0,006906755=a*2\\\\-0,005293305+0,006906755=2*a\\a = 0,00161345 / 2 = 0,000806725$

Rearranging, we can model the number of infected troops (I) as

$-\frac{ln(1000/I-1)}{1000}+0,006906755=0,000806725*t\\\\-\frac{ln(1000/I-1)}{1000}=0,000806725*t-0,006906755\\-ln(1000/I-1)=0,806725*t-0.6906755\\\\\frac{1000}{I}-1=exp^{0,806725*t-0.6906755} \\\\\frac{1000}{I}=exp^{0,806725*t-0.6906755}+1\\\\I=\frac{1000}{exp^{0,806725*t-0.6906755}+1}$

6 0

2 years ago

Solve this equation for s: r=s-t

dangina [55]

Add 't' to both sides. t+r=s

Step-by-step explanation:

6 0

2 years ago

X-intercept (__,__) <br> Y-intercept (__,__)

Natasha2012 [34]

Look at the picture.

The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis.

x-intercept (-250, 0)

y-intercept (0, 100)

6 0

2 years ago

I need help getting the answer for the 1st question

Karo-lina-s [1.5K]

If we have two similar triangles:
Triangle 1 (base 1 , height1).
Triangle 2 (base 2, height 2)
Then:

base 1 /height 1=base 2 /height 2

Data:
base 1=0.2 m
height 1= 1 m
base 2= 8 m
height 2=x

We calculate the height of the tower:
base 1 /height 1=base 2 /height 2
0.2 m / 1m=8 m / x
x=(8 m * 1 m) / 0.2 m
x=8 m²/0.2 m
x=40 m

Answer. the heigth of the tower will 40 m

3 0

2 years ago