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jonny [76]
2 years ago
6

A lab worker monitors the growth of a bacteria colony starting at 9:00 a.m. At that time, there are 100 bacteria. According to t

he exponential function f(x) = 100(4)x, the bacteria quadruple every hour. What is the value of f(0)? A) 0 B) 4 C) 100 D) 400
Mathematics
1 answer:
zzz [600]2 years ago
8 0

Answer:

Step-by-step explanation:

D)hope it helpef

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2-8<br> Examine the function h(x) defined at right. Then estimate the values Below.
Arada [10]

We are given graph of the function.

Let us do given parts one by one.

a) h(1).

Here, we need to find the value of function (y-coordinate) for x=1.

From the given graph, we can see the for x=1 value of y is 2.

Therefore, h(1)=2.

b) h(3).

Here, we need to find the value of function (y-coordinate) for x=3.

From the given graph, we can see the for x=3 value of y is -4.

Therefore, h(3)=-4.

c) x when h(x) =0.

Here, we need to find the value of x-coordinate for y=0.

From the given graph, we can see the for y=0 value of x is also 0.

Therefore, x=0 when h(x)=0.

d) h(-1).

Here, we need to find the value of function (y-coordinate) for x=-1.

From the given graph, we can see the for x=-1 value of y is -2.

Therefore, h(-1)=-2.  

e) h(-4).

Here, we need to find the value of function (y-coordinate) for x=-4.

From the given graph, we can see the for x=-4 value of y is 13.

Therefore, h(-4)=13.  

5 0
2 years ago
In a study on the fertility of married women conducted by Martin O’Connell and Carolyn C. Rogers for the Census Bureau in 1979,
Fed [463]

Answer:

we cannot conclude hat the proportion of wives married less than two years who planned to have children is significantly higher than the proportion of wives married five years

Step-by-step explanation:

Given that in a study on the fertility of married women conducted by Martin O’Connell and Carolyn C. Rogers for the Census Bureau in 1979, two groups of childless wives aged 25 to 29 were selected at random, and each was asked if she eventually planned to have a child. One group was selected from among wives married less than two years and the other from among wives married five years.

Let X be the group married less than 2 years and Y less than 5 years

                         X        Y     Total

Sample size   300   300    600

Favouring       240   288    528

p                      0.8     0.96  0.88

H_0: p_x=p_y\\H_a: p_x>p_y

p difference = -0.16

Std error for difference = \sqrt{0.88*0.12/600} =0.01327

Test statistic = p difference/std error=-6.03

p value <0.000001

Since p is less than alpha 0.05 we cannot conclude hat the proportion of wives married less than two years who planned to have children is significantly higher than the proportion of wives married five years

4 0
2 years ago
An internet service provider is implementing a new program based on the number of connected devices in each household. Currently
erica [24]

The current rate is simply equal to $175 per month, let us call this as rate A:

A = 175

 

The new rate is $94 plus $4.50 per devices, let us call this as rate B:

B = 94 + 4.50 x

where x is the number of devices connected to the network

 

The inequality equation for us to find x which the new plan is less than current plan is:

94 + 4.50 x < 175

 

Solving for x:

4.50 x < 81

x < 18

So the number of devices must be less than 18.

 

 

- From the graph, we can actually see that the new rate intersects the current rate at number of devices equal to 18. So it should really be below 18 devices.

7 0
2 years ago
Read 2 more answers
Need help on answer I’m not so sure what to do
ratelena [41]
You divide four dhndhdhdjdjdjdjjd
7 0
2 years ago
Read 2 more answers
The standard form of the equation of a parabola is x = y2 + 10y + 22. What is the vertex form of the equation?
iVinArrow [24]

From the conics form of the equation, shown above, I look at what's multiplied on the unsquaredpart and see that 4p = 4, so p = 1. Then the focus is one unit above the vertex, at (0, 1), and the directrix is the horizontal line y = –1, one unit below the vertex.

vertex: (0, 0); focus: (0, 1); axis of symmetry: x = 0; directrix: y = –1

Graph y2 + 10y + x + 25 = 0, and state the vertex, focus, axis of symmetry, and directrix.

Since the y is squared in this equation, rather than the x, then this is a "sideways" parabola. To graph, I'll do my T-chart backwards, picking y-values first and then finding the corresponding x-values for x = –y2 – 10y – 25:

To convert the equation into conics form and find the exact vertex, etc, I'll need to convert the equation to perfect-square form. In this case, the squared side is already a perfect square, so:

y2 + 10y + 25 = –x 
(y + 5)2 = –1(x – 0)

This tells me that 4p = –1, so p = –1/4. Since the parabola opens to the left, then the focus is 1/4 units to the left of the vertex. I can see from the equation above that the vertex is at (h, k) = (0, –5), so then the focus must be at (–1/4, –5). The parabola is sideways, so the axis of symmetry is, too. The directrix, being perpendicular to the axis of symmetry, is then vertical, and is 1/4 units to the right of the vertex. Putting this all together, I get:

vertex: (0, –5); focus: (–1/4, –5); axis of symmetry: y = –5; directrix: x = 1/4

Find the vertex and focus of y2 + 6y + 12x – 15 = 0

The y part is squared, so this is a sideways parabola. I'll get the y stuff by itself on one side of the equation, and then complete the square to convert this to conics form.

y2 + 6y – 15 = –12x 
y2 + 6y + 9 – 15 = –12x + 9 
(y + 3)2 – 15 = –12x + 9 
(y + 3)2 = –12x + 9 + 15 = –12x + 24 
(y + 3)2 = –12(x – 2) 
(y – (–3))2 = 4(–3)(x – 2)

Then the vertex is at (h, k) = (2, –3) and the value of p is –3. Since y is squared and p is negative, then this is a sideways parabola that opens to the left. This puts the focus 3 units to the left of the vertex.

vertex: (2, –3); focus: (–1, –3)

6 0
2 years ago
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