MATHEMATICS HIGH SCHOOL

Mrs. Eaton's class is participating in the "Box Tops for Education" campaign. On the first day, herclass collected 2 tops. On the third day, her class collected 8 tops. Let D represent each collection
day and N represent the number of tops collected on that day.
Based on the situation, John claims the number of tops collected can be modeled by an exponential
function. Riley disagrees and claims the number of tops can be modeled with a linear function. What
is the number of tops collected on the sixth day based on the exponential model? What is the
number of tops collected on the sixth day based on the linear model?

Answers

Answer 1
Answer: Given:

Day        Tops
1               2
2               ?
3               8

Exponential model:
d(x) = 2^x
d(6) = 2⁶ = 2 x 2 x 2 x 2 x 2 x 2 = 64 tops

LInear:
d(x) = 2 + 2x
d(6) = 2 + 2(6)
d(6) = 2 + 12
d(6) = 14 tops
Answer 2
Answer:

Answer:

Exponential: 64

Linear: 17

Explanation:

I know this is right because I got it wrong and it showed me the answer.

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Which of the following statements below is true about three-dimensional space? A. Some planes have no intercepts. B. Every plane must have three intercepts. C. Every plane must have at least two intercepts. D. Some planes have only one intercept.

Answers

So the question ask to select among the choices the correct option that tells the truth about three-dimensional space and in my analysis, the answer is letter B. Every plane must have three intercept, and those are X, Y, and Z. I hope you are satisfied with my answer and feel free to ask for more 

Which function in vertex form is equivalent to f(x) = 4 + x2 – 2x?

Answers

The question is asking us to find which function in the vertex form is equivalent to f ( x ) = 4 + x^2 - 2 x. We have to add 1 to make a squared binomial ( and also to subtract 1 ). f ( x ) = ( x^2 - 2 x + 1 ) - 1 + 4 = ( x - 1 )^2 + 3. Then we have the vertex point ( 1, 3 ). Answer: The function in vertex form is: f ( x ) = ( x - 1 ) ^2 + 3.

Answer:

Vertex form of the function will be f(x) = (x - 1)² + 3.

Step-by-step explanation:

Vertex form of a quadratic function is given by f(x) = a(x - h)² + k

where (h, k) is the vertex of the given parabola.

Now we will convert the function in the vertex form.

f(x) = x² - 2x + 1 + 3

     = (x - 1)² + 3

Therefore, the vertex form of the function will be f(x) = (x - 1)² + 3

and the vertex will be (1, 3).

give you 300 dollars if u get this right. you have my word The lifetimes of 20,000 light bulbs are normally distributed. The mean lifetime is 230 days. The standard deviation is 40 days. Find the values defined by the standard deviation in a normal distribution for 3 standard deviations.

Answers


Wow !  I didn't know the numbers when I read the question,
but with that much riding on it, I had to go look them up and
learn something.  You probably could have done the same thing
and saved yourself some money, but it's too late for that.  It's all
mine now, as soon as I finish writing this answer.  

In the normal distribution, 68.27% of the values lie within one
standard deviation of the mean, 95.45% lie within two standard
deviations, and 99.73% lie with three standard deviations.

Within one sigma:  68.27% of 20,000 = 13,654
13,654 light bulbs will last between 190 days and 270 days.

Within two sigma:  95.34% of 20,000 = 19,068 
19,068 light bulbs will last between 150 days and 310 days.


Here's the one you asked for:

Within three sigma:  99.73% of 20,000 = 19,946
19,946 light bulbs will last between 110 days and 350 days.

Only 54 light bulbs will burn out in less than 110 days
OR keep going more than 350 days. 

OK.  Now you owe me.

The function below models the correlation between the number of hours a plant is kept in sunlight (x) and the height (y), in mm, to which it grows:y = 4 + 2x
What does the y-intercept of this function represent?
The original height of the plant was 4 mm.
The original height of the plant was 2 mm.
The height of the plant increases by 2 mm for every hour of sunlight it receives.
The height of the plant increases by 4 mm for every hour of sunlight it receives.

Answers

Remember that the y-intercept is obtained when the value of x is set to zero. This means that the y-intercept is the value of the height without sunlight yet. This also refers to the original height of the plant. This gives:

y = 4 + 2(0) = 4

So, the original height of the plant is 4 mm.

The formula also indicates that when sunlight is present, a height of 2mm is increased every hour of sunlight exposure.

Answer:The original height of the plant was 4 mm.

Step-by-step explanation:

Which one of the following is not equal to 100 meters? 0.100 kilometers 10 hectometers 10,000 centimeters 100,000 millimeters

Answers

Situation: Which one of the following is not equal to 100 meters?
We were given 4 different choices with corresponding values, not let's start finding the correct answer.
=> 0.100 kilometers
1 meter = 0.001 km 
100 meters = 0.1 km
=> 10 hectometers
1 meter = 0.01 hm
100 meters = 1 hm
=> 10,000 centimeters
1 meter = 100 centimeters
100 meters = 10 000 cm
=> 100,000 millimeters
1 meter = 1000 mm
100 meters = 100 000 mm
thus the not equal answer is hectometer

Final answer:

When converted to meters, 0.100 kilometers, 10,000 centimeters, and 100,000 millimeters all equal 100 meters. However, 10 hectometers equals 1000 meters, hence it does not equate to 100 meters.

Explanation:

The units you provided for comparison are 0.100 kilometers, 10 hectometers, 10,000 centimeters, and 100,000 millimeters. Let's convert them all to meters using the following metric conversions:

  • 1 kilometer = 1,000 meters
  • 1 hectometer = 100 meters
  • 1 centimeter = 0.01 meters
  • 1 millimeter = 0.001 meters

So, based on the metric conversions:

  • 0.100 kilometers = 100 meters
  • 10 hectometers = 1000 meters
  • 10,000 centimeters = 100 meters
  • 100,000 millimeters = 100 meters

As such, 10 hectometers does not equal 100 meters. Instead, it amounts to 1000 meters.

Learn more about Metric Conversions here:

brainly.com/question/21244256

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A cube is a three dimensional solid with 6 square faces find the total surface area of a cube whose edges are each 5 feet in length

Answers

surface area of a cube = 6s^2
= 6(5)^2 = 6 x 25 = 150 square feet
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