what is the function represented by the following graph key points are (-1,1/3),(0,1),(1/3),(2,9)
Given the points:
(-1,1/3),(0,1),(1/3),(2,9)
the graph of the points is as following:
so, the graph represents exponential function
We can note that:
The y values represents geometric sequence
\(1,3,9,\ldots\)so, the function will be:
\(y=f(x)=3^x\)
The figure shows four box-and-whisker plots. These represent variation in travel time for four different types of transportation from the beginning to the end of one route.
Conrad is at one end of the route. He is trying to decide how to get to an appointment at the other end. His appointment is in 30 minutes. Which type of transportation is LEAST likely to take more than 30 minutes?
a. bus
b. car
c. subway
d. train
Answer: C
Step-by-step explanation:
For box and whiskers plot the box is where the majority of the data is. the whiskers(the lines on both sides will tell you where the range of numbers lie)
The middle line in the box is the median number.
The question is worded oddly where they want least likely to be more than 30 which means which one will have less than 30. (Double negative question)
You want the majority of the data to be less than 30, which is subway. C
The revenue of a company is represented by 3x² + 9x + 5 and the costs by 3x² + 3x + 21. If the profit can be found by subtracting cost from revenue, what expression could represent the profit? I
To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 6x -5y = 17 Second equation: 7x + 3y = 11 The first equation should be multiplied by 3 and the second equation by -5. The first equation should be multiplied by 3 and the second equation by 5. The first equation should be multiplied by 7 and the second equation by -6. The first equation should be multiplied by 7 and the second equation by 6.
Answer:
its c
Step-by-step explanation:
i did the test
The first equation should be multiplied by 7 and the second equation by -6. The correct option is C.
What is an expression?In mathematics, an expression is a group of symbols (variables, constants, and mathematical operations) used to represent a quantity or a relationship between two numbers.
In order to eliminate the x terms and find y in the fewest steps feasible, the equations should be multiplied by constants such that the coefficient of x in one equation is equal to the negative coefficient of x in the other.
The coefficients of x in the first and second equations in this situation are 6 and 7, respectively. To make these coefficients opposite in sign, we can multiply the first equation by 7 and the second equation by -6.
The correct solution is obtained by multiplying the first equation by 7 and the second equation by -6.
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what fraction is the same as 42%
The volume of the right cone below is 2767 units³. Find the value of x.
The value of x is approximately 49.4 units.
What is volume ?
Volume is a measure of the amount of space occupied by a three-dimensional object. It is typically expressed in cubic units such as cubic meters, cubic centimeters, or cubic feet. Volume is a fundamental concept in mathematics and physics, and it is an important property for describing the size, capacity, or amount of material contained within an object.
Let's start by defining some variables:
r: radius of the cone
h: height of the cone
V: volume of the cone
A right cone has a circular base, and its volume can be calculated as follows:
V = (1/3) * π * r² * h
If the diameter of the base is 12 units, then the radius is half of that:
r = 6 units
We also know that the volume is 2767 units³, so we can write:
2767 = (1/3) * π * 6² * h
Simplifying:
h = (2767 * 3) / (π * 6²)
h ≈ 49.15 units
Now, we need to find the value of x. We can use the Pythagorean theorem to relate x, r, and h:
x² = r² + h²
Substituting the values we have:
x² = 6² + 49.15²
x ≈ 49.4 units
Therefore, the value of x is approximately 49.4 units.
In summary, we used the formula for the volume of a cone to relate the radius and height of the cone to its volume. Then, we used the Pythagorean theorem to relate the unknown value of x to the known values of r and h. Finally, we substituted the known values to find the approximate value of x.
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Your complete question is :-The volume of the right cone below is 2767 units³. Find the value of x if it's diameter is 12
What are the intercepts of the graph of
the equation 4y - x = 8
Answer:
x intercept: (-8,0)
y intercept: (0,2)
14Y - 7y = 35. solve for y
Answer:
y = 5
Step-by-step explanation:
\(14y-7y=35\\7y=35\\y=5\)
14 minus 7 is 7
7Y is equal to 35
divide both sides by 7 is equal to 5
Select the correct answer.
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h.
A.
h(2) = 16
B.
h(-3) = -1
C.
h(8) = 21
D.
h(13) = 18
Option A. The statement that can be said to be true for h is h(2) = 16
How to get the domainIf we look at the domain and range, we can rule out some straight away.
For h - 3 = -1
this is outside of the range of the such that -1 ∉ 1 ≤ hx ≤ 25
When h is 13 = 18
This is also outside of the domain such that 13 ∉ -3 ≤ x ≤ 11
When h is 8 = 21
there is going to be a contradiction with what the question has stated earlier. This is because we are told that h(8) = 19
Therefore on h(2) = 16
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what is the slope of the linear table below?
Answer:
A. 2/3
Step-by-step explanation:
Plot the points, so you visualize rise/run.
When you start at the point (-3,8) it rises 2 then moves 3 to the right to get to the point (0,10). Then it rises 2 and moves 3 to the right to the point (3,12).
Write an equation in the form y=mx + b of the line that is described The y-intercept is 2 and the line is perpendicular to the line whose equation is y = 6x – 3. The equation of the line is y = (Simplify your answer. Use integers or fractions for any numbers in the expression.)
Answer:
y = -1/6x + 2
Step-by-step explanation:
To find the slope of a perpendicular line, you take the opposite reciprocal
6x -> -1/6x
y = -1/6x + 2
Determine if the graph shows a proportional relationship. Graph with x axis labeled distance miles and y axis labeled time hours. A line begins at point 0 comma 0 and continues to the right. Yes, it is proportional because the x-axis and y-axis are labeled correctly. Yes, it is proportional because it is a line that intersects with the origin. No, it is not proportional because the x-axis and y-axis are not labeled correctly. No, it is not proportional because the line does not intersect with the origin.
Question 3(Multiple Choice Worth 2 points) (Proportional Relationships MC) Determine if the table shows a proportional relationship. x 36.5 23.2 63.3 y 18.25 11.6 21.1 Yes, it is proportional because the ratios for y over x are all equivalent to one half. Yes, it is proportional because the ratios for y over x are all equivalent to one third. No, it is not proportional because 18.25 over 36.5 is not equal to 23.2 over 11.6. No, it is not proportional because 18.25 over 36.5 is not equal to 21.1 over 63.3.
No, it is not a proportional relationship because the graph does not go through the origin
What is the proportional relationship?In order for us to discover if a table represents a proportional relationship, we will find the value of y/x for each pair of values given on the table. If y/x across all values are the same, then the table shows a proportional relationship.
First coordinate values: y/x = 18.25/36.5 = 0.5
Second coordinate values: y/x = 11.6/23.2 = 0.5
Third coordinate values: y/x = 21.1/63.3 = 0.3
The table does not show a proportional relationship because the value of y/x across the values of the table is not equal as we can see that it is equal for the first two alone with the third being different.
For a table of values to show a proportional relationship, y/x across all the pairs of values given in the table must be equal.
The constant is; k = constant of proportionality.
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PLZ HELP ME WILL MARK BRAINLIST AND 50 points IF THE ANSWER IS CORRECT!!!
Answer for the question:
It is B.
What is the value of the sum?
Drag and drop the answer into the box to match the sum with its value.
-7/9+2/3
Which of the following is true about an isosceles trapezoid?
The diagonals are congruent and the median is parallel to the bases in isosceles trapezoid .
What is an isosceles trapezoid?
An isosceles trapezoid is trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal.
In any isosceles trapezoid, two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length (properties shared with the parallelogram). The diagonals are also of equal length.
The diagonals are congruent because if the diagonals are congruent the at least to of its legs (probably the vertical ones) are congruent. and the median is parallel to the bases in isosceles trapezoid because parallelism indicates that heights (vertical legs) are accurately congruent .
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Evaluate the given expression for x=5
x² + 3x - 2
(5)² + 3 × 5- 2
25 + 15 - 2
40 - 2
38...
Ralph wants to join a travel soccer team, a discretionary expense.
His parents tell him he must get a job to earn the money to cover the costs. Ralph now views this discretionary expense as an essential expense since he must pay his parents back. The costs of the travel team are listed below.
Uniform - $67.00
Registration - $50.00
Tournaments -$775.00
Travel - $300.00
a. Find the total cost of being on the team.
b. If Ralph takes a summer job and works 10 weeks over the summer, how much must he average each week to cover the travel team expenses?
c. If Ralph is paid at a flat rate of exactly q dollars each week, what is the standard deviation of the distribution of his 10 weekly paychecks?
a) The total cost of being on the team is; $1192
b) Ralph average cost is; $119.20
c) The standard deviation of the distribution of his 10 weekly paychecks is; $0
What is the Total Cost?
We are given the costs of the travel team as listed below;
Uniform - $67.00
Registration - $50.00
Tournaments -$775.00
Travel - $300.00
a) To find the total cost of being on the team, we will simply add all the individual costs as given to get;
Total Cost = 67 + 50 + 775 + 300
Total Cost = $1192
b) If Ralph takes a summer job and works 10 weeks over the summer, then his average cost is;
Average Cost = 1192/10
Average Cost = $119.20
c) If he is paid at a flat rate of exactly q dollars each week, the standard deviation of the distribution of his 10 weekly paychecks is;
$0
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Answer:
Step-by-step explanation:
first one is wrong and I don’t know the answer yet
FIND THE AREA PLEASE
Answer:
the area of the shape is 48m
Step-by-step explanation:
10*4=40
2*4=8
40+8=48
brake it up into two triangles. one is a triangle that is 10m tall and 8m wide at the top. you can solve that by doing 4*10=40. the other triangle is 4m wide at the bottom and 2m tall. you can solve that by doing 2*4=8. and 40+8=48.
Estimate the question of 123.8 divided by 62
Answer:
It should be 2
Step-by-step explanation:
If you where to round to the nearest 10nth
HELP ASAP?
the two answers not showing on screen are
C:y<6x-3
D:y<6-3
Answer:
A is that answer
A) y<2x-3
finding values of products and quotient functions
\(( \frac{r}{s} )(3) = \)
The product and the quotient of the functions are as follows:
(rs)(4) =8
(r / s)(3) = 2
How to solve function?A function relates input and output. It relates an independent variable with a dependent variable.
Therefore, let's solve the function as follows:
r(x) = 2√x
s(x) = √x
Therefore, let's find
(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8
Let's find
(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2
Therefore,
(rs)(4) =8
(r / s)(3) = 2
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Please Help!!!!
Kim and Tracy are collecting data for their final project in their psychology
class, in which they are conducting a survey about people’s overall job
satisfaction. They decide to go to the local mall to collect their data. To get a
more varied sample, Kim surveys shoppers coming out of store A, a discount
clothing store, while Tracy surveys shoppers coming out of store B, a high-end
boutique.
A. Identify a possible problem with this type of sampling method. (6 points)
B. How might Kim and Tracy improve on their sample design so as to get more
accurate information from the shoppers at the mall?
Answer:
below
Step-by-step explanation:
A problem would be that they are not surveying people from multiple places. They are doing it at 2 opposite stores, at the same times. They should try multiple different stores at other days and times to get more objective data.
An airplane flies with a constant speed
of 840 km/h. How far can it travel in
1 hour?
Answer:
840 km
Step-by-step explanation:
The speed expression ...
840 kilometers per hour
means the plane files 840 kilometers in each hour.
In 1 hour, it will travel 840 km.
Megan had to find the product of 2^2007 and 5^2000 and then calculate the sum of the digits of the answer. Megan arrived at an answer of 11. Is she correct? Show ALL the calculations to motivate your answer.
Answer:
steps below
Step-by-step explanation:
2²⁰⁰⁷ * 5²⁰⁰⁰
= 2²⁰⁰⁰ * 5²⁰⁰⁰ * 2⁷
= 128 * (2*5)²⁰⁰⁰
= 128 * 10²⁰⁰⁰
= 1280000000000.......
sum of the digits = 1+2+8 = 11
By laws of exponents Megan is correct.
What is Number system?A number system is defined as a system of writing to express numbers.
We can use the laws of exponents to simplify the expression 2²⁰⁰⁷ × 5²⁰⁰⁰
First, we can rewrite 5²⁰⁰⁰ as (10/2)²⁰⁰⁰ = 10²⁰⁰⁰ /2²⁰⁰⁰ , which gives:
2²⁰⁰⁷ × 5²⁰⁰⁰ = 2²⁰⁰⁰ × 10²⁰⁰⁰ /2²⁰⁰⁰
= 2⁷×10²⁰⁰⁰
To find the sum of the digits of this number, we can first express it in scientific notation as:
2⁷×10²⁰⁰⁰ = 1.28 ×10⁶⁰³
The sum of the digits of this number can be found by adding the digits of each power of 10 up to 10⁶⁰³.
Since all powers of 10 have a sum of 1, the sum of the digits of this number is 1 + 2 + 8 = 11.
Therefore, Megan is correct.
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There are 25 households in purok 2 of barangay Sta. Catalina. The barangay captain ordered 40 sacks of rice
weighing 30 kg each. How many kilograms of rice will each household receive?
9514 1404 393
Answer:
48 kg
Step-by-step explanation:
(40 sacks)×(30 kg/sack)/(25 households) = (1200/25) kg/household
= 48 kg/household
Each household will receive 48 kg of rice.
No rush but can somebody help me ASAP I’ve been missing days of school and I’m behind !
Answer: 1.2
Step-by-step explanation:
Just use a calculator
please help me answer this question thank you
Answer:
A
Step-by-step explanation:
a cell phone company charges $35 per month for an unlimited data plan and charges a one time $100 activation fee. your parents will only spend a maximum of $485 on a phone for you. write and solve an inequality that represents the total months (m) your parents will pay for the phone
Answer:
Step-by-step explanation:
set the months as X
base on the question information, we have
35X + 100 ≤ 485
then we can have
35x ≤ 485 -100
35x≤385
x≤385/35
x≤11
thus, we can say, the total month is 11 months the parents will pay for the phone
both clocks ring toget (b) Two bells hanged at a school were adjusted at 10:00 am in such a way th one of them rings at the interval of every 45 minutes and another at every minutes. At what time will both bells ring together ?
The Least common multiple (LCM) The time at which both bells will ring together is 10:45 am, and the Subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.
The time at which both bells will ring together, we need to find the least common multiple (LCM) of the intervals at which each bell rings.
The first bell rings every 45 minutes, and the second bell rings every minute. We want to find the point at which both intervals align, meaning they both divide evenly into the same amount of time.
To find the LCM, we can list the multiples of each interval until we find a common multiple.
Multiples of 45 minutes: 45, 90, 135, 180, 225, 270, 315, 360, 405, ...
Multiples of 1 minute: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ...
From the lists above, we can observe that the least common multiple occurs when both intervals coincide at the same time, which is 45 minutes.
Thus, the two bells will ring together every 45 minutes.
If we consider the initial adjustment time of 10:00 am, the first time both bells will ring together is at 10:45 am. After that, they will continue to ring together every 45 minutes throughout the day.
Therefore, the time at which both bells will ring together is 10:45 am, and the subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.
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solve the problem (8y^2+4y)/(2y)=
The solution to the problem is 2(2y+1).
To solve the problem (8y^2+4y)/(2y), we need to simplify the expression by dividing each term by 2y.
First, we can factor out 4y from the numerator:
(8y^2+4y) = 4y(2y+1)
Now, we can divide 4y(2y+1) by 2y:
4y(2y+1) / 2y = 2(2y+1)
In summary, we simplified the expression by factoring out 4y from the numerator and then dividing by 2y. This resulted in the solution of 2(2y+1).
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