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2 years ago

Let h(t) = -2 · 5t-1 Find h(3).

Mathematics

2 answers:

11Alexandr11 [23.1K]2 years ago

7 0

Answer:

Use the given functions to set up and simplify

h = −31

Step-by-step explanation:

branliest pls

Naya [18.7K]2 years ago

6 0

Answer:

h(3) = -31

Step-by-step explanation:

h3 = -2 x 5t - 1

t = 3

-2 · 5 = -10

-10(3) - 1

=-30 - 1

=-31

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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

3 years ago

Amelia wants to rearrange the furniture in her room. She makes a scale drawing of her rectangular room,

vovangra [49]

Answer:

The other side = 13 feets long

Step-by-step explanation:

Given that :

Scale of drawing : 2 inches represents 5 feets

Area of rectangular room according to scale drawing = 24.96 in²

Length of one side of the room = 12 feets

Length of other side = x

Area of rectangle = Length * width

If :

2 inches = 5 feets

x = 12 feets

x = (12 *2) / 5

x = 4.8 inches

Hence,

For the scaled drawing :

4.8 * width = 24.96

Width = 24.96 / 4.8

Width = 5.2 inches

Converting to feets according to scale:

2 inches = 5 feets

5.2 inches = x feets

x = (5.2 * 5 ) / 2

x = 13 feets

Other side is 13 feets long

4 0

3 years ago

Can someone please check this (#4) for me?

IrinaVladis [17]

Answer:

What you are doing wrong is that you are using the formula to find the area of the entire circle rather than using the formula to find a sector of a circle. The two cases uses 2 different kind sentences of formulas.

3 0

3 years ago

Consider the following functions:

Nina [5.8K]

Answer:

Step-by-step explanation:

(f+g)(1) = f(1) +g(1) = -1 + 2 = 1

The pair (1, -1) in the definition of f tells you f(1) = -1.

The pair (1, 2) in the definition of g tells you g(1) = 2.

4 0

3 years ago

If x is 5, then 6x =<br> 5x<br> 30x<br> 30

Wittaler [7]

Answer:

Step-by-step explanation:

If X is 5, then 6X is equal to 30. You can see to be able to get 30, you have to multiply 6 to X, which in this case is 5. So 6 times 5, you will now get the answer which is 30.

4 0

3 years ago