Answer:
3/12 or 1/4 in simplest fraction form
Step-by-step explanation:
Slope is given by the formula rise/run
Here rise = 3, run = 12
So slope = 3/12 = 1/4
The population of Nevada was 3.0 million in 2018 and 2.7 million. in 2010. Assuming an exponential model: (a) Write the population of Nevada in the form N = Noat, where N is the population of Nevada in millions, No and a are constants, and t is time in years since 2010. NOTE: Enter the exact answer for No. Enter an exact value for a or round to 4 decimal places. N(t) = = (b) What was the estimated population of Nevada in 2009? NOTE: Round your answer to 3 decimal places. The population in 2009 was approximately million people.
the exponential model is given as N = 2.7 (1.0133)^(t) and the estimated population in 2009 was 2.6646 million.
According to the question, we have the information that:
N = 3 million
No = 2.7 million
a = 8 years
Now, we need to find the exponential model for the given data.
Do putting the values in the equation to get the value of a, we have:
3 = 2.7 (a)^(8)
1.1111 = a^(8)
a = 1.0133
So, the exponential model will be:
N = 2.7 (1.0133)^(t)
Now, the estimated population in 2009 will be:
t = - 1
So, we get that:
N = 2.7 (1.0133)^(-1)
N = 2.7 / 1.0133
N = 2.6646 million
Therefore the exponential model is given as N = 2.7 (1.0133)^(t) and the estimated population in 2009 was 2.6646 million.
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List the interval(s) on which f is increasing.
The interval(s) in which f is increasing is/are: _____________.
(Type your answer in interval notation. Use a comma to separate answers as needed.)
The intervals on which the function f of x is increasing is:
(6, 0) U (2, 4) U (7, 9)
In which intervals is the function increasing?When we have the graph of a function, we can identify if it is increasing if, reading from left to right, we can see that the graph of the function goes upwards.
For the graphed function, we can see that it increases for the values:
-6 < x < 0
2 < x < 4
7 < x < 9
Writing this in interval notation, we have:
(6, 0) U (2, 4) U (7, 9)
This is the list of intervals on which the function f(x) is increasing.
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At the visitor center gift shop Peter can afford to buy either 4 postcards and 9 stickers or 8 postcards and 6 stickers both options leave him no change if Peter wanted to buy only postcards how many could he buy
Answer:
20
Step-by-step explanation:
Hope the picture helps
You keep subtracting until you get zero and you keep adding the same amount
If Peter wanted to buy only postcards, he could buy 2 postcards.
Given that,
Peter can afford to buy either 4 postcards and 9 stickers or 8 postcards and 6 stickers.
Both options leave him with no change.
Peter wants to buy only postcards.
Assume that the cost of a postcard is the same as the cost of a sticker.
In the first scenario,
Peter spends the same amount on postcards and stickers.
So, if he wanted to buy only postcards,
He could buy half the number of postcards he could buy in the first scenario.
Therefore, Peter would be able to buy 2 postcards if he wanted to buy only postcards.
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a. Solve x + 8 - x + 8
b. If you simplify an equation and get 00, what can you conclude about the solution(s) of the original equation?
To solve an linear equation we need to use BODMAS rule.
Here the given equation is;
(x+8-x+8)
We know very well that if two like numbers have opposite sign and are added then it gets cancelled and gives zero as the result.
Similarly, here x and -x gets cancelled and we get 16 as the result.
If we get the solution of an equation as zero then we may say that the equation has no real solution. That means there are no values of the unknown which will complete the equation.
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Suppose these show number of hours each student in a class slept last night:
8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6
What is the mean of these numbers (rounded to the nearest tenth)?
What is the median?
Mean: 6.9 hours; Median 7 hours
Mean: 6.9 hours; Median 7.5 hours
Mean: 7 hours; Median 6.9 hours
Mean: 7.2 hours; Median 7 hours
⊂ Hey, rosedalphinis ⊃
Answer:
Mean: 6.9 hours; Median 7 hours
Step-by-step explanation:
⇒ Given:
-------------------------------------------------------------------------------------------------------------
Suppose these show number of hours each student in a class slept last night:
8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6
What is the mean of these numbers (rounded to the nearest tenth)?
What is the median?
Mean: 6.9 hours; Median 7 hours
Mean: 6.9 hours; Median 7.5 hours
Mean: 7 hours; Median 6.9 hours
Mean: 7.2 hours; Median 7 hours
-------------------------------------------------------------------------------------------------------------
⇒ Solution~:
-------------------------------------------------------------------------------------------------------------
Let's first define "Median".
You may be wondering "What is median/What is mean?".
When it asking for "Mean" It asking for the average.
When it asking for "Median" It asking for the middle number.
The formula for "Mean" is : M = sum of the terms/number of terms
According to the given we have;
8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6
Let's first find the "Mean":
First, add all the number together.
8 + 4 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6
12 + 8 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6
20 + 7 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6
27 + 7 + 9 + 6 + 5 + 10 + 7 + 6 + 6
34 + 9 + 6 + 5 + 10 + 7 + 6 + 6
43+ 6 + 5 + 10 + 7 + 6 + 6
49+ 5 + 10 + 7 + 6 + 6
54+ 10 + 7 + 6 + 6
64 + 7 + 6 + 6
71+ 6 + 6
77 + 6
= 83
Now let's count how many numbers of hours each student in a class slept.
8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6 = 12
Now 83 divide by 12:
83/12 = 6.9166666666667 {Round}
6.9166666666667 = 6.9
Therefore, Mean = 6.9
-------------------------------------------------------------------------------------------------------------
Next, Let's find the "Median":
To find the Median, place the numbers in value order and find the middle.
⇒ 8, 4, 8, 7, 7, 9, 6, 5, 10, 7, 6, 6
⇒ 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
Now we have them in order:
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
Then, we find the middle number:
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10
Now You see that there two's 7 left.
If there is an even number of numbers add the two middles and divide by 2
Thus,
7 + 7 = 14
14/2 = 7
Therefore, Median = 7.
-------------------------------------------------------------------------------------------------------------
According to the solving above we can conclude that:
Mean: 6.9 hours; Median 7 hours
-------------------------------------------------------------------------------------------------------------
xcookiex12
9/4/2022
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What are the possible values of x for the following functions? F(x)= x-3 / 2x+6
Answer:
(in English)
x can be anything EXCEPT -3
(in Math)
Interval Notation:
(negativeinfinitysymbol,-3)U(-3,infinitysymbol)
Set Builder Notation:
{x | x < -3 or x > -3}
Step-by-step explanation:
Since this function is a rational function (like a fraction) we have to watch out for what is going on in the denominator. The denominator cannot be zero.
So, 2x + 6 cannot be zero. Let's figure out what makes 2x+6 actually equal to 0.
2x + 6 = 0
Subtract 6.
2x = -6
Divide by 2.
x = -3
Remember this is what x canNOT be.
This question is a domain question. What is x allowed to be? x may be anything except -3.
A superhero recently asked his nemesis how many cats she has. She answered with a riddle: "Five-sixths of my cats plus three ."
How many cats does the nemesis have?
The number of cats the nemesis have is 4
What is a fraction?A fraction is defined as the part of a whole.
Types of fractions;
Mixed fractionsSimple fractionsProper fractionsImproper fractionsFrom the information given, we have that the Nemesis number of cats is ' Five-sixths of my cats plus three
This is expressed as;
Number of cats = 1 - 5/ 6 + 3
Number of cats = 1/ 6 + 3
Number of cats = 6 + 18 /6
Number of cats = 24/6 = 4
Thus, the number of cats the nemesis have is 4
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Un poste mide 150 centímetros y está pintado de azul, rojo y amarillo. La parte pintada de azul es 2/5 del poste, la parte pintada de rojo es 1/2 de la pintada de azul, y lo que resta está pintado de amarillo ¿cuánto mide cada parte?
A 150 cm post is painted in shades of azure, red, and amber. The blue portion of the post is two-fifths of the way up, the red portion is one-half of the blue portion, and the remaining portion is painted in amarillo. What does each part weigh?
71 forms
First, we'll determine how many different ways the five cubes may be arranged in a column using the multiplicand rule:
5 * 4 * 3 * 2 * 1 = 120
We have five cubes to place at the base of the column, four for the second position, three for the third position, and so on until all the cubes are organized.
Then we'll calculate how many different ways we may arrange the five cubes so that they'reBlue cubos twirl around one another. In this case, we would count the two blue cubes as though they were only one, which means that we would only have "4 cubes" and be able to arrange them in 24 different ways:
4 * 3 * 2 * 1 = 24
On the other hand, the two blue cubes can be arranged in one of two different ways: first the clear, then the dark, or first the dark, then the clear.
That is to say, there are 24 different ways to arrange the cubes so that the light comes on first and the dark follows, and there are 24 different ways to arrange the cubes so that the dark comes on first and the light follows.
This means that 48 of the 120 ways to organize the five cubes contain the cubes. 72 (120-48) formas los dos cubos azules no se tocan entre sí.
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You have a Chick-fil-A gift card worth $50. After you buy lunch on Monday, its value is $46.50. After you
buy lunch on Tuesday, its value is $43. Write an explicit formula to represent the amount of money left on
the card as an arithmetic sequence.
What is the value of the gift card after you buy 12 lunches?
Two planes, which are 2940 miles apart, fly toward each other. Their speeds differ by 35mph. If they pass each other in 4 hours, what is the speed of each?
Answer:
385 mph350 mphStep-by-step explanation:
You want the individual speeds of airplanes that close the 2940 mile distance between them in 4 hours, and have a speed difference of 35 mph.
SetupThe closing speed is found using the relation ...
speed = distance/time
It is ...
(2940 mi)/(4 h) = 735 mi/h
If x represents the speed of the slower plane, then (x+35) is the speed of the faster one. The sum of their speeds is the closing speed:
x +(x +35) = 735
SolutionSimplifying, we have ...
2x +35 = 735
2x = 700 . . . . . . subtract 35
x = 350 . . . . . . . divide by 2
x+35 = 385 . . . . speed of the faster plane
The speeds of the planes are 350 mph and 385 mph.
Need help with this paper please
Answer:
Step-by-step explanation:
a repair bill for your ebike is $188. the parts costs $73 dollars and the cost of the labor is $46 per hour.
a. write an equation that represents this situation.
b. how many hours dud the repair take?
Answer:
188 = 46x + 73
It took 2 1/2 or 2.5 hours to complete.
Step-by-step explanation:
There is a one time cost of 73 for the parts, but the hours will be 46 per hour. I know the total cost, so we need to solve for x which is the hours.
188 = 46x + 73 Subtract 73 from both sides of the equation
115 = 46x Divide both sides of the equation by 46
2.5 = x
Suppose you are throwing a lunch event for 100 people.
You decide to offer vegan options. You are not
sure how many vegans are attending, but a study shows that vegans occur at a rate of 5%. Assume the requirements for a binomial distribution are satisfied. What is the probability that you will have less than 10 vegans attending your event?
The probability of having less than 10 vegans attending the event, given that the binomial distribution requirements are satisfied, is 9%.
What are the requirements of a binomial distribution?The requirements of a binomial distribution include:
Independent observationsFixed number of observationsEqual probability of success for each observationEach observation falls into the success or failure categories.What is probability?Probability is the likelihood of an event occurring given the possibility of many outcomes.
Probability is computed as percentages, fractions, or decimals, and it cannot be more than 1.
Data and Calculations:Expected guests = 100
Expected vegans = 5%
Less than 10 vegans = 9
The chance that 9 vegans will attend the event = 9/100 = 9%.
Thus, the probability of having less than 10 vegans attending the event is 9%.
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What is the sum of the two polynomials?
x² - 4x +5
+3x²+x-2
O 4x4 - 3x² +3
O 4x²-3x +3
O 4x²-3x+7
O 3x²-3x+7
O 3x²-3x +3
Answer:
4x^2-3x+3 yessssssssssss
addictive inverse of -7/8 and 7/8 8/7 -8/7
The additive inverse of the numbers given as -7/8 and 7/8 are 7/8 and -7/8
How to determine the additive inverse?The numbers are given as:
-7/8 and 7/8
As a general rule, the additive inverse of a number x is -x
This means that the additive inverse of the numbers given as -7/8 and 7/8 are 7/8 and -7/8
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one driver had lap speeds of 195.3 mph, 190.456 mph,193.557 mph, and 192.575 mph. What was the driver's average speed for the laps driven?
The driver’s average speed for the laps driven is 192.972mph
The formula for average speed is given below:
Average speed = (Sum of the lap speeds driven by the driver) / (Total number of the lap speed driven by the driver)
Sum of the lap speed = 195.3 + 190.456 + 193.557 + 192.575 mph
= 771.888 mph
Number of lap speed driven by the driver = 4
Now putting the required values in the formula of average speed we get
Average speed = 7771.888/4 mph
= 192.972 mph
Hence the driver’s average speed for the laps driven is 192.972mph
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Angle DFG and angleJKL are complementary angles. If the measure if the angle DFG=x+2 and the measure of the angle JKL =x+9 then find x.
complementary angles m < DFG = 48, m < JKL = 42 is value of x .
What is the opposing angle to the above example?
Complementary angles are those whose combined angle is exactly 90 degrees. 30 degrees and 60 degrees, for instance, are complimentary angles.
∠DFG and ∠JKL are complementary angles. m∠DFG = x + 5,
and m∠JKL = x − 1
When two angles are complementary then the sum of angles is 90 degrees
∠DFG and ∠JKL are complementary angles.
So m < DFG < + m < JKL = 90
Now replace the expressions and solve for x
x + 5 +x - 1 =90
2x + 4 = 90
2x = 90 - 4
2x = 86
x = 43
Now replace x with 43 and find out each angle
m < DFG = x + 5
m < DFG = 43 + 5 = 48
m < DFG = 48
m < JKL = x - 1 = 43 - 1 = 42
m < DFG = 48
m < JKL = 42
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Proportion Word Problems Maze Worksheet
One US dollar equals 0.84 euros. Margo wants to exchange $400 for euro. How many euros will she receive in exchange?
Answer:
1 us dollar =0.84 euros so,400 us dollar =084x400 so, she will receive 336 euros in exchange.
3x + 2 = 5x-8 how do I solve this
Answer:
x = 5
Step-by-step explanation:
What is the circumference of a radius equals 6 inches
The circumference of a radius equals 6 inches is 37.68 inches
What is the circumference of a radius equals 6 inches?The radius is given as
r = 6 inches
The circumference of a circle is calculated as
C = 2pi r
So, we have
C = 2 * 3.14 * 6 inches
Evaluate the product
C = 37.68 inches
Hence, the circumference of a radius equals 6 inches is 37.68 inches
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Decrease 964,763
by 1,000.
The area of a rectangular painting is 8712 cm^2.
If the width of the painting is 98 , what is its length?
100 POINTS!!!!
Answer:
The length is 88.90 cm
=========================
Area equation of a rectangle
A = lw, where A - area, l - length, w - widthGivenA = 8712 cm²w = 98 cmFind the length8712 = 98ll = 8712/98l = 88.90 (rounded)Answer:
Length = 88.9 cm
Step-by-step explanation:
Formula we use,
→ A = L × W
Then the value of its length is,
→ A = L × W
→ 8712 = L × 98
→ L = 8712/98
→ L = 88.8979591837
→ [ L = 88.9 cm ]
Hence, the length is 88.9 cm.
Given −16.98(5.2), find the product.
−882.96
−88.296
−15.282
11.886
Answer: 882.96
Step-by-step explanation:
The product of -16.98 and 5.2 is -88.296.
The given expression is -16.98 multiplied by 5.2. To find the product, multiply the two numbers:
-16.98 * 5.2 = -88.296.
Therefore, the product of -16.98 and 5.2 is -88.296. The correct answer is -88.296, which matches the second option. When multiplying a negative number by a positive number, the result is negative. The calculation involves multiplying the absolute values (16.98 and 5.2) and then assigning the negative sign to the product. In this case, the product is -88.296, as it accurately represents the multiplication of -16.98 and 5.2.
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The names of 20 students in the class will be put in a hat. The class consists of 12 freshmen, 6 sophomores, and 2 juniors. If a sophomore was chosen there, how likely is it that another sophomore will get to play today?
If a sophomore was chosen yesterday, the probability that a sophomore will be chosen again today is 3/10.
Given, number of students name put into the hat = 20
total number of freshmen in the class = 12
total number of sophomore in the class = 6
total number of juniors in the class = 2
we are asked to determine the probability that the sophomore will be selected the second day also = ?
Calculating a situation's probability allows us to determine its likelihood. Absolute certainty in forecasting is challenging in many situations. With its help, we are only able to anticipate the likelihood, or chance, that an event would occur.
from the given data,
n(s) = 20
n(A) = 6 ⇒ as the name selected in the first day is put back in the hat.
⇒ P(A) = n(A)/n(s)
P(A) = 6/20
P(A) = 3/10
hence the probability that the another day again a sophomore will be chosen is 3/10.
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There were 256 farmers in the county 30 years ago 5/8 of those farmers have changed occupations how many of the 256 farmers changed occupations
The answer is 27 for your math
Step-by-step explanation:
Part of a multiplication table is shown.
15 20 25 30
18
30 36
21
35 42
24 32 40 48
What two numbers are needed to complete the pattern in
the multiplication table?
OA) 21 and 24
OB) 24 and 24
OC) 24 and 28
OD) 21 and 28
The correct option is C) 24 and 28 for the given multiplication table.
What is defined as the multiplication table?The multiplication table (already known as the time's table) provides multiples of numbers. Multiplying a number by a set of whole numbers yields the multiplication table.The given multiplication are-
15 20 25 30This is the table 5 starting with;
5×3 = 15 ....... 5×6 = 30
18 __ 30 36This is the table of 6 starting with;
6×3 = 18 ....... 6×6 = 36
Thus, the missing number is;
6×4 = 24
21 __ 35 42This is the table 7 starting with;
7×3 = 21 ....... 7×6 = 42
Thus, the missing number is;
7×4 = 28
24 32 40 48This is the table of 8 starting with;
8×3 = 28 ....... 8×6 = 48
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The correct question is-
Part of a multiplication table is shown.
15 20 25 30
18 __ 30 36
21 __ 35 42
24 32 40 48
What two numbers are needed to complete the pattern in
the multiplication table?
OA) 21 and 24
OB) 24 and 24
OC) 24 and 28
OD) 21 and 28
You bought f pounds of fruit today. Today, you bought 3 times as many pounds of fruit as you bought yesterday. Which expression correctly shows how many pounds of fruit you bought yesterday? is it
f + 3
3f
3 ÷ f
f ÷ 3
or
none of the above
The answer would be 3f.
Alyssas resting heart rate is 50 beats per minute. Her target exercise rate is 325% of her resting rate. What is her target rate
The exercise target rate according to the Rate of change is 162.5.
According to the statement
We have to find that the target rate of the exercise.
So, For this purpose, we know that the
Rate of change is used to mathematically describe the percentage change in value over a defined period of time
From the given information:
Alyssas resting heart rate is 50 beats per minute. Her target exercise rate is 325% of her resting rate.
then
The exercise target rate = 325% of 50 beats.
Then
The exercise target rate = 325/100*50
The exercise target rate = 3.25*50
The exercise target rate = 162.5.
So, The exercise target rate according to the Rate of change is 162.5.
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Find the union of the sets (22, 33, 44, 55) and (66, 44, 22}
Application of Finite Mathematics
The union of the sets is { 22, 33, 44, 55, 66 }
What is the union of sets?The union of sets can be defined as the sum of the elements of two or more sets without repetition of those elements.
It is also known as the combination of the all the elements of two or more sets.
It is denoted using the symbol , ' ∪ '
Given the sets;
(22, 33, 44, 55)(66, 44, 22}The union of the sets is:
{ 22, 33, 44, 55, 66 }
Thus, the union of the sets is { 22, 33, 44, 55, 66 }
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HELP NOWWW!!!!! PLEASE
Question content area top Part 1 The coordinates of point T are (0,6). The midpoint of is (4,-6). Find the coordinates of point S. Question content area bottom Part 1 The other endpoint is enter your response here. (Type an ordered pair.)
Answer:
The end point is (8,-18)
Step-by-step explanation:
