Answer: Option D.
Step-by-step explanation:
An exponential function is something like:
f(x) = A*(r)^x
Where:
A = initial amount.
r = rate of growth
x = variable.
This type of function is used to describe situations like "you have A dollars, and it increases by 30% each week"
or:
"There is a population of A animals, and it doubles each year"
Let's analyze briefly all the given options and see which one is an exponential function.
A) The water level of a tank decreases by 5 gallons every day.
This is a linear relation, if W is the initial amount of water, and x is the number of days, then the water level of the tank after x days is:
y = W - 5 gal*x
B) The amount of money collected by a charity increases by $5,000 each year.
The amount collected increases $5000 each year.
Then if in year 1 they collected A.
in year 2 they collected A + $5000
in year 3 they collected A + 2*$5000
We already can see the pattern, this is a linear relation:
in year X they colected A + (X - 1)*$5000
C) A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.
if y is the height of the tree, and x is the number of years, this can be written as:
y = 10ft + x*2ft
Again, a linear relation.
D) The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.
Let's define x as each "lapse" of 10 minutes that passes.
If N is the initial number of people in te stadium, then after 10 minutes the number of people is = N*(1 - 45%/100%) = N*(1 - 0.45) = N*0.55
After another 10 minutes, the population decreases again.
N*0.55*(1 - 45%/100%) = N*0.55*0.55 = N*0.55^2
We can see the pattern here, this can be written as
People(x) = N*(0.55)^x
This is an exponential function.
PLEASE HELP ME :)))Micheal is making scale drawings of rectangular rooms using a scale of 1in to 1 1/2 feet
Answer:
a) 256 ft^2 No
b) 150 ft^2 Yes
c) 300 ft^2 NO
d) 192 ft^2 Yes
w=8.5 in
l=11 in
A=w•l
A=8.5•11=93.5 in^2
Scale:
1in:1.5 ft
1in^2:2.25 ft^2
1in ^2. 2.25ft^2
93.5 in^2. Xft^2
X=2.25•93.5
X=210.375
Step-by-step explanation:
The required answers are below the scale drawings for each of these rooms:
a. 16 feet by 16 feet: No
b. 10 feet by 15 feet: es
c. 15 feet by 20 feet: NO
d. 12 feet by 16 feet: Yes
What is a scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.
a. 16 feet by 16 feet:
The width of the room on the scale drawing will be 16/1.5 = 10.67 inches, and the length will also be 10.67 inches. Since both dimensions are greater than the width and length of the paper, the scale drawing will not fit on one piece of paper.
Answer: No.
b. 10 feet by 15 feet:
The width of the room on the scale drawing will be 10/1.5 = 6.67 inches, and the length will be 15/1.5 = 10 inches. The length dimension of the scale drawing fits on the paper, Therefore, the scale drawing will fit on one piece of paper.
Answer: Yes.
c. 15 feet by 20 feet:
The width of the room on the scale drawing will be 15/1.5 = 10 inches, and the length will be 20/1.5 = 13.33 inches. Both dimensions are greater than the width and length of the paper, so the scale drawing will not fit on one piece of paper.
Answer: Not.
d. 12 feet by 16 feet:
The width of the room on the scale drawing will be 12/1.5 = 8 inches, and the length will be 16/1.5 = 10.67 inches. Both dimensions are less than the width and length of the paper, so the scale drawing will fit on one piece of paper.
Answer: Yes.
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A ratio scale contains _____. the properties of order, classification, and equal distance between points but no unique origin the four major sources of error mutually exclusive and collectively exhaustive categories as well as the property of order, but not distance or unique origin the properties of classification, order, equal distance, and unique origin mutually exclusive and collectively exhaustive categories, but without the properties of order, distance, and origin
Answer:
the properties of classification, order, equal distance, and unique origin.
Step-by-step explanation:
A level of measurement refers to a classification which is used to illustrate the attributes of the values assigned to variables. Basically, there are four (4) levels of measurement for a variable and these are;
1. Ratio: data can be arranged in an ordering scheme and subtracting its differences is meaningful with respect to the value of true zero. Examples are height, price, weight, distance etc.
2. Nominal: is characterized by data that are non-numerical, comprises of categories, labels or names and can't be arranged in an ordering scheme.
3. Interval: data can be arranged in an ordering scheme and subtracting its differences is meaningful. Examples are year, temperature, time etc.
4. Ordinal: data can be arranged in an ordering scheme but subtracting its differences is meaningless or impossible. Examples are happy, sad etc.
Hence, a ratio scale contains the properties of classification, order, equal distance, and unique origin.
Evaluate the summation from n equals 1 to infinity of the quotient of 3 and 2 raised the quantity n minus 1 power
Answer:
3*∑ (1/2)^n = 6
Step-by-step explanation:
We have the summation from n = 1 to n = ∞, for:
∑ 3/(2)^(n - 1)
We know that the summation between k = 0, and k = N - 1 for:
∑ r^k = (1 - r^N)/(1 - r)
if we have the summation between k = 0 and k = ∞ - 1 = ∞
(here we used that ∞ is really big, then ∞ - 1 = ∞)
In the numerator we will have the term r^∞, if 0 < r < 1, then r^∞ = 0.
Then if we assume that 0 < r < 1 we can write:
∑ r^k = 1/(1 - r)
In our case, we can rewrite our summation as:
3*∑ (1/2)^n
for n = 0 to n = ∞
You can see that i changed the limits for n, this does not really matter because we are summing between a number and infinity, the only thing you need to take care is that now the power is n, instead of (n - 1)
Then we have r = (1/2) which is clearly smaller than 1.
then (1/2)
Then this summation is equal to:
3*∑ (1/2)^n = 3*( 1/(1 - 1/2)) = 3*( 1/( 2/2 - 1/2)) = 3*( 1/(1/2)) = 3*2 = 6
3*∑ (1/2)^n = 6
3/4 divided by 2 as a fraction
Will give brainliest ANSWER PLEASE!
Answer:
3/8
Step-by-step explanation:
Answer:
3/8
Step-by-step explanation:
You divide fractions by flipping it around and multiplying it...
The reciprocal of 2 is 1/2
So 3/4*1/2=3/8
A kite is flying 76 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 589. Find the length of the string. Round your answer to the
nearest tenth
Answer:
Answer: The length of string from kite to the ground is 111.5 feetStep-by-step explanation:Given ... of the ground, and its string is pulled tout. The angle of elevation of the kite is 43. Find the length of the string. Round your answer to the ... The height from the ground at which kite is flying = BC = h = 76 feet.
Step-by-step explanation:
Starting at 6:00 a.m., Lin spent a day hiking through a canyon. This graph shows her elevation (in meters) at some different times. Negative values of x represent times earlier than noon, and positive values of x represent times later than noon.
Please help me with this
Answer:
First, we know that the 0 in the horizontal axis corresponds to the noon.
Then:
a) Lin's elevation at noon in meters.
We need to see the elevation when x = 0.
This is the point that is just on top of the y-axis, we can see that when x = 0, we have y = 6.
Then at noon, her altitude was 6 meters.
b) At 8:00 am, her elevation was 2m
Remember that the x-component represents time, and x = 0 represents the noon.
8:00 am is 4 hours before noon, then 8:00am is represented with x = -4
and at this time her elevation is 2m, then y = 2.
This means that the point that represents this is (-4, 2)
c) At 4:00 pm Lin was at sea level (her elevation was 0m)
Same reasoning than before: x = 0 is the noon, then 4:00 pm is four hours after this, then 4:00 pm is represented with x = 4.
And here her altitude is 0m, then y = 0.
This point is written as (4, 0)
d) Here we can see that at 6:00 am her elevation was negative, and at 4:00pm her elevation is 0.
And we know that:
0 > negative numbers.
Then her altitude increased in this interval of time.
Answer:
Its 0
Step-by-step explanation:
In 4 hours Jessie can make 6 necklaces. How many necklaces can she make in 10 hours?
Answer:
13
Step-by-step explanation:
in 8 hrs she can make 12 then cn only make one more so
If you can answer BOTH CORRECTLY you'll get brainliest
Answer:
Sorry the pictures re not clear. Could u zoom in? :)
Today, the price of a new cell phone is $129.
In 2000, the price of a similar cell phone was $240.
What is the percent of change in the price of a cell phone from 2000 to today? Round to the nearest whole percent.
Answer:
54%
Step-by-step explanation:
129/240 = 0.5375 (divided to find the % change)
0.5375 * 100 (to convert decimal to percent form)
53.7 which is rounded to 54 percent (I needed to round it to the nearest whole percent number)
A 25 foot ladder and a 10 foot ladder are leaning against a building at the same angle,
and the base of the 25 foot ladder is 7.5 feet from the building. How far is the base of
the 10 foot ladder from the building?
Answer:
33.33 feet
Step-by-step explanation:
First you want to divide 25 to 7.5 so that you can find out how far the ladder is if it was a foot-long your answer should be 3.33. Then you want to multiply the 3.33 to 10 and the answer would be 33.33
I'm very confused on what the answer to this one is
Answer:
(-3,1.5) (0,3) (3'3)
Step-by-step explanation:
multiply all the coordinates by 1/2
At 100°F, a certain Insect chirps at a rate of 97 times per minute, and at 102°F, they chirp 111 times per minute. Write an equation in slope-intercept form that represents the situation.
Answer:
y = 7x - 603
Step-by-step explanation:
We start by determining the slope:
m = y2 - y1/x2 - x1 = 111 - 97/102 - 100 = 14/2 = 7,
Now we substitute the slope into the slope-intercept equation y = mx + b, solving for the y-intercept [b]:
111 = 7(102) + b,
b = -603
Equation: y = 7x - 603
pizza HELP me this is really important answer for both questions
3. In a given city, the number of rainy days and the number of sunny days are recorded.
A. If 15% of days are sunny and the rest are rainy, what is the ratio of sunny days to rainy days? B. If 50% of days are sunny and 50% of days are rainy, what is the ratio of sunny days to rainy days?
Answer:
i think the ratio for the first is 1:5 and the other is 1:1
Step-by-step explanation:
have a nice day
The measure of 3 angles of a triangle are 2x, 3x, and (x +60) what is the value of x?
Answer: angle x= 20 degrees
Step-by-step explanation: sum of angles in triangle is 180 degrees.
You count 2x + 3x +(x+60) = 180
6x=120
What is the value of x?
x = 25
x = 180
x = 135
x = 20
Answer:
x=20
Step-by-step explanation:
Since all the angles in any give triangle adds up to 180, we can make an equation from this geometry question. x+5+7x-5+x=180 (Adding all the angles). If you simplify this, it becomes 9x=180, or x=20.
River Otters Drinks about 5 times as much as water as a bald eagle drink in a day
So we know that the bald eagle drinks 0.16 per day. (I am not sure liters, gallons, etc because it is not stated in the question.) Now, the question tells us that River Otters drink about 5 times MORE then the bald eagle. So first we need to multiply.
0.16 × 5 = 0.8
So river otters drink about 0.8 per day.
Now to find out how much a River Otter drinks in 3 days do:
0.8 × 3 = 2.4
Answer: River Otters drink 2.4 water in 3 days.
PS. Please check which unit it is and add the unit. Sometimes points get cut off without the units!
How many triangles can be constructed with side lengths of 4, 8, and 13?
A. 0
B. 1
C. More than 1
Answer:
yeah i dont know i want my points xd 494 4944
Step-by-step explanation:
A train leaves at 08:36 and arrives at 10:57. It travelled at an average speed of 85 km/h.
How far did it travel? Give your answer in km to 1DP.
Answer:
199.8 km to the 1 decimal point
Step-by-step explanation:
8:36 to 9:00 is 24 min
9:00 to 10:00 is 60 min
10:00 to 10:57 is 57 min
That's a total of 24 + 60 + 57 = 141 min = 141/60 hr.
d = rt = 141/60(85) = 199.8 km to the 1 decimal point
Solve: 2/3x = 18
A.) x = 12
B.) x = 27
C.) x = 16
D.) x = 3
Answer:
option b 27 is the answer
Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0=2x^2+3x-8? 1.99 2.00
Answer:
1.39
Step-by-step explanation:
Given the quadratic equation :
2x^2+3x-8 = 0
We could apply the quadratic equation formula :
a = 2 ; b = 3, c = - 8
The formula is stated as :
-b±sqrt(b² - 4ac)/2a
To save computation tune, we could use a calculator :
The roots are : - 2.886 ; 1.386
The positive solution rounded to the nearest hundredth is : 1.39
help please I gotta get my grade up!
First step: you got to add y to both sides in the math problem Ex: 15x - y + y < 12 + y
Second step: simplify 15x < 12 + y
Third Step: This you got to divide both sides by 15 like this: 15x/15 < 12/15 + y/15
Last and Fourth step: Simplify and thats your answer x < 12 + y/15
Monica worked 3.5 hours and is paid $10 per hour. How much did she make in 3.5 hours?
Answer:
She would make $35.
Step-by-step explanation:
If you do 10 x 3.5, you will get the answer of $35.
Answer:
$30
Step-by-step explanation:
She would be getting paid by the HOUR, and she has worked 3.5 hours. If she gets paid every HOUR, that means that she would be paid three times when working 3.5 hours. The answer would be $30.
The person who wrote the question might want $35 dollars as the answer, but logically the answer should be $30.
Two different functions are shown below.
1st function:
2nd function: y=3x
Which of the following statements is true?
Both functions have a positive slope
Both functions have a negative slope
Both Functions Are Proportional
Answer:
I think it's C if not D, but more likely C. Hope this helps, sorry if it doesn't.
Step-by-step explanation:
Of the 16 people attending a seminar, 2 have blond hair.
What is the probability that a randomly selected person will have blond hair?
Answer:
1/8
Step-by-step explanation:
Solve for x
x+4=−2
help please.
Answer:
x=-6
Step-by-step explanation:
The only thing to do is to transpose 4 and it will become negative,so-2-4=-6
Answer:
X = -6
Step-by-step explanation:
The equation is x + 4 = -2. Make the (+4) to cross over the equal sign which makes a new equation :- x = -2 - 4
Work out the new equation:-
x = -2 - 4
NOTE: -2 - 4 = -6
Therefore x = -6
x^2 - 10x + 24 = 024
Answer:
x=0,10
Step-by-step explanation:
Two number cubes are rolled.
What is the probability that the first lands on an odd number and the second lands on an even number?
Enter you answer, as a fraction in simplified form, in the box
Answer:
1/4
Step-by-step explanation:
Assuming the number cube is a six-faced die, you have
1 2 3 4 5 6
three odd numbers, and three even numbers. Therefore, the chance of it landing on an odd number or even number is 3/6, which equals 1/2. That means you have a 50% chance to get an odd number, or an even number.
So, you have two die. Both have a 50/50 chance of getting an even or odd number. So what's the chance of one landing on an odd number, and the other landing on an even number?
You would have a 25% chance for an even and then an even numberYou would have a 25% chance for an odd and then an odd numberYou would have a 25% chance for an even and then an odd numberYou would have a 25% chance for an odd and then an even number.25% as a simplified fraction is 1/4. Therefore, 1/4 is your answer.
Answer:
1/4
Step-by-step explanation:
One half of one one hundredth is
Answer:
1/2 of 1/100 = 1/200
Step-by-step explanation:
math (not too hard answer asap) :)
Answer:
A and CStep-by-step explanation:
A. 134 is the mode, correct, repeated 5 timesB. 111 is appears 3 times, incorrect , this number is not part of data setC. There are more data values between 130 and 139, correct, there are 8 of themD. There are 20 data values, incorrect , there are 23Use the table. What inference can you make by comparing the measures of variability? Use the drop-down menus to explain your answer.
Finish Times of 30 Runners
in the 100-meter Dash
Mean MAD
Last Year 16.2s 1.2
This Year 14.7s 1.9
The is greater for this year’s 100-meter dash, which suggests that all 30 students equally.
Answer:
The first one is mean absolute deviation and the second one is did not improve
Step-by-step explanation:
I took the test
The MAD is greater for this year’s 100-meter dash, which suggests that all 30 students did not improve equally.
What is Mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
The given table is:
Mean MAD
Last Year 16.2 s 1.2
This Year 14.7 s 1.9
Looking at this table we can see that this year, the meantime is smaller than the one from last year, so the runners are faster on average.
The mean absolute deviation is bigger, but the change in the mean is bigger.
difference of the mean 16.2 - 14.7 = 1.5
difference of the MAD 1.9 - 1.2 = 0.7
This means that the average speed of the runners increased since last year,
and the fact that the MAD increased means that not all the runners increased their speed at the same rate, so now the speeds of the different runners are not as alike as last year.
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