Answer:
The surface area is 731 ft^2
Select the correct answer.
Consider the function below.
х
-1
0
1
2
fx)
-2.
3
8
00
13
Which of the following functions could be the Inverse of function ?
A.
Х
-2
3
00
8
13
g(x)
-1
0
1
2
B.
Х
-2
-3
-8
-13
1
0
-1
-2
OC.
х
-1
0.
1
2
p(x)
2.
-3
-8
-13
D.
х
1
0
-1
-2
s(X)
-2
3
3
00
8
13
Answer:
A
Step-by-step explanation:
i pick that answer because u have yo flip the number around
The inverse of the function is:
f^-1(x) = {-1, 0, 1, 2} corresponding to x = {-2, 3, 8, 13}
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find the inverse of the function, we need to switch the x and y variables, and then solve for y.
So, we start by writing the function in terms of y:
y = f(x) = {-2, 3, 8, 13} corresponding to x = {-1, 0, 1, 2}
Now we switch the x and y variables:
x = f(y) = {-2, 3, 8, 13} corresponding to y = {-1, 0, 1, 2}
Next, we solve for y:
For x = -2, y = -1
For x = 3, y = 0
For x = 8, y = 1
For x = 13, y = 2
Therefore,
The inverse of the function is:
f^-1(x) = {-1, 0, 1, 2} corresponding to x = {-2, 3, 8, 13}
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The drama club is selling tickets to their play to raise money for the show's expenses.
Each student ticket sells for $4 and each adult ticket sells for $9. The auditorium can
hold no more than 110 people. The drama club must make a minimum of $720 from
ticket sales to cover the show's costs. If r represents the number of student tickets
sold and y represents the number of adult tickets sold, write and solve a system of , a
inequalities graphically and determine one possible solution.
Answer: The total number of tickets sold (student and adult) cannot exceed 110, so we can write the first inequality as:
r + y ≤ 110
The minimum amount of money needed from ticket sales is $720, so we can write the second inequality as:
4r + 9y ≥ 720
To graph the system of inequalities, we can start by plotting the two lines corresponding to r + y = 110 and 4r + 9y = 720. The solution to the system of inequalities is the area on the graph that is shared by both of the inequalities (i.e., the area above the line 4r + 9y = 720 and below the line r + y = 110).
One possible solution for the number of student tickets (r) and adult tickets (y) is (30, 80). This means that 30 student tickets and 80 adult tickets can be sold to meet the conditions and raise at least $720.
Step-by-step explanation:
A groundskeeper needs grass seed to cover a circular field, 290 feet in diameter.
A store sells 50-pound bags of grass seed. One pound of grass seed covers about 400 square feet of field.
What is the smallest number of bags the groundskeeper must buy to cover the circular field?
The groundskeeper can only buy whole bags, they must buy 4 bags to have enough grass seed to cover the entire field.
To find the smallest number of bags needed, first calculate the area of the circular field using the formula for the area of a circle, A = π\(r^2\).
Where r is the radius of the circle. Since the diameter is 290 feet, the radius is 145 feet (290/2).
A = π(\(145^2\)) ≈ 66,026 square feet
Next, calculate the coverage of one pound of grass seed: 400 square feet.
Then, find out how many pounds of grass seed are needed to cover the entire field:
66,026 sq ft / 400 sq ft/lb
≈ 165.065 lbs
Since each bag weighs 50 pounds, divide the required pounds by the weight of one bag:
165.065 lbs / 50 lbs/bag
≈ 3.3013 bags
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A park ranger wants to know the average time it takes hikers to hike a trail. There is an average of 1,245 hikers on the trail in a year. How can he find a reasonable estimate for the amount of time it takes to hike the trail? A time any hiker on the trail and use that time
B time himself on the trail and use that time
C time 100 hikers and average their times
D time 3 hikers and average their times
Answer:
B
Step-by-step explanation:
the reason why is a bigger sample size and a different types of people in a 100 than 3 or than himself
can someone help me i will give brainlest
Answer:
(48, 3), (80, 5), (160, 10)
Due to a rise in popularity, Penny's firm begins to make hair bows rather than flower barrettes. She can make hair bows at a rate of 5 each hour. The firm can sell these bows for $4.99 each. What is Penny's value of the marginal product of labor for each hour she works? Give your answer to two decimals. $ ____
What is the highest wage the firm would be willing to pay Penny? Give your answer to two decimals. $ ____
The number of bows that Penny makes per hour and the price the firm sells at shows that the value of the marginal product is $24.95 per hour.
The highest wage the firm will pay is $24.95 per hour.
What is the value of Penny's marginal product?This can be found by the formula:
= Price x Marginal product of Penny
= 4.99 x 5
= $24.95 per hour
The highest wage the firm can pay would be the wage amount that equals their marginal revenue as this is the only way they can maximize profit.
Their marginal revenue in this case is the $24.95 per hour that they pay to Penny so this will be their highest wage to her as well.
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2. Write the absolute value of the following. a) | -6 -3 | . b) | 0 - 12 |.
Answer:
a)9. b) 12
Step-by-step explanation:
a) | -6 -3 | .
-6-3 = -9
|-9| =9
b) | 0 - 12 |.
0-12=-12
|-12|=12
Bao walked 15 miles in 6 hours. What was her walking rate in miles per hour?
Group of answer choices
2.5 miles per hour
2 miles per hour
1 mile per hour
1.5 miles per hour
The solution is, 2.5 miles per hour was her walking rate in miles per hour.
We know that,
Speed is measured as distance moved over time.
The formula for speed is speed = distance ÷ time.
To work out what the units are for speed, you need to know the units for distance and time.
In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).
Speed = Distance/ Time.
Here, given that,
Bao walked 15 miles in 6 hours.
so, we get,
in 6 hours = 15 miles
so, in 1 hour = 15 / 6 miles
=2.5 miles
Hence, The solution is, 2.5 miles per hour was her walking rate in miles per hour.
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A group of campers and one group leader left a campsite in a canoe. They traveled at an average rate of 10 km/h. Two hours later, the other group leader left the campsite in a motorboat. He traveled at an average rate of 22 km/h.A. How long after the canoe left the campsite did the motorboat catch up with it?B. How long did the motorboat travel?
A .The canoe left the campsite did the motorboat catch up with it 3 hrs and 40 minutes
B . The motorboat travel at 1 hr 40 minutes
A group of campers and one group leader left a campsite in a canoe.
They traveled at an average rate of 10 km/h.
1st Group DATA:
rate = 10 km/h ; distance = x km ; time = d/r = x/10 hrs
Two hours later, the other group leader left the campsite in a motorboat.
He traveled at an average rate of 22 km/h.
Group Leader DATA:
rate = 22 km/h ; distance = x km ; time = d/r = x/22 hrs
A. How long after the canoe left the campsite did the motorboat catch up with it?
Group time - Leader time = 2 hr
x/10 - x/22 = 2
Multiply thru by 110 to get:
11x - 5x = 220
6x = 220
x = 110/3 = km
canoe total time = x/10 = (110/3)/(10) = 11/3 = 3 hrs and 40 minutes
B. How long did the motorboat travel?
motorboat time = x/22 = (110/3)/22 = 1 hr 40 minutes
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What is an equation of the line that passes through the point ( 1 , 7 ) and is parallel to the line
3x−y=1?
Answer:
(y-1)= 3(x-7)
Step-by-step explanation:
1. you put the equation given in slope intercept form so y=3x-1.
2. you find the slope, parellel lines have the same slope so the slope for the new equation will remain 3.
3. then you write the point-slope form equation
4) make sure to plug in the x1 and y1 values from the coordniates given
The required equation of the line is given as 3x - y = -4.
Given that,
The equation of the line that passes through the point ( 1, 7 ) and is parallel to the line 3x−y = 1 is to be determined.
The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.
here,
The standard equation of the line is given as,
y = mx + c,
Since the line is parallel to line 3x - y = 1 whose slope is m = 3, and also the slope of the parallel line are equal.
so,
y = 3x + c
Put points (1, 7) in the above equation,
7 = 3 + c
c = 4
y = 3x + 4
Thus, the required equation of the line is given as 3x - y = -4.
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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
Write the expression for the following statement without
any spaces:
the sum of 64y and 3, cubed can be expressed as
The expression of the statement that is given above can be written as follows: 262144y³ + 27.
How to determine a way to express the given statement?To determine how to express the given statement the following should be carried out.
When a number is said to be cubed, it means that the number should be times by itself three consecutive times.
That is (64y + 3)³. This means that various components should be multiplied by itself three times. That is,
= 64×64×64(y)³ + 3×3×3
= 262144y³ + 27.
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) If 4x - 3y = 12 and y = -4, then x =
Answer:
x=0
Step-by-step explanation:
4x -3y =12
4x - 3(-4)=12
4x+12=12
4x=0
x=0
Find the area of each face of the triangular prism and the total surface area.
Drag each tile to its matching measurement. Each number may be used once or not at all.
9514 1404 393
Answer:
24160120200528Step-by-step explanation:
The area of each triangular face is given by the formula ...
A = 1/2bh
The triangular faces have a base of b=8 cm, and a height of h=6 cm. Their area is ...
A = 1/2(8 cm)(6 cm) = 24 cm²
__
Each of the rectangular faces has a length of 20 cm. The width depends on which face is of interest. In each case, the area is given by ...
A = LW
Bottom face: A = (20 cm)(8 cm) = 160 cm²
Back face: A = (20 cm)(6 cm) = 120 cm²
Sloped face: A = (20 cm)(10 cm) = 200 cm²
__
The total area is the sum of the areas of all of the faces and bases. There are two triangular bases, so the total area is ...
(2×24 + 160 +120 +200) cm² = 528 cm²
Find a line that is perpendicular to y = 2/5x-1 that goes through (3,6)
Answer:
y = -5/2x + 27/2
Step-by-step explanation:
line formula is y = mx + b
perpendicular means number next to the x (slope or m) becomes a negative reciprocal
2/5x -> -5/2x
then use point slope formula
y - y1 = m (x - x1)
y - 6 = -5/2 (x - 3)
y - 6 = -5/2x + 15/2
y = -5/2x + 15/2 + 6
y = -5/2x + 15/2 + 12/2
y = -5/2x + 27/2
I need help finding this answer
Answer:
x = -6
Step-by-step explanation:
On Wednesday 72% of the customers who bought gas at a gas station made additional purchases. There were 250 customers who bought gas. How many of these 250 customers made additional purchases? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
180 people
Step-by-step explanation:
72/100*250
72/10*25
36/5*25
=36*5
= 180
if my answer is helpful please mark as brainliest.
Step-by-step explanation:
Think about it find 72 of 250 get 180.
consider the value of t such that 0.05 of the area under the curve is to the right of t. step 2 of 2: assuming the degrees of freedom equals 18, select the t value from the t table.
Thus after assuming the degrees of freedom equals 18 so the t-critical value will be =2.306
Degree of freedom {df}=18
We have to calculate the t-value such that 0.05 of the area under the curve is to the right of t
It means that, \($\mathrm{P}(\mathrm{T} > \mathrm{t})=0.05$\)
As we know, t distribution provides the cumulative probability
As the value of the total area under the t distribution will 1
So, we can write it as:
\($$\mathrm{P}(\mathrm{T} \leq \mathrm{t})=1-\mathrm{P}(\mathrm{T} > \mathrm{t})$$$\mathrm{P}(\mathrm{T} \leq \mathrm{t})=1-0.05$$=0.95$\)
Now, using excel, we can easily calculate the t-critical value as follows
=T. INV ( Probability, DF)
Where Probability is the area and DF is the degree of freedom,
Now we will enter these values in excel:
=T. INV (0.95,18)
t-critical value can also be found using t table
Look up for df = 18, in very first column
Now look up for 0.05 in one tail row
Now intersect both of them to get the t-critical value
We will get it as: 2.306
So t-critical value will be =2.306
\($\mathrm{P}(\mathrm{T} > 2.306)=0.05$\)
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51.5:1.2=
|
What is the answer to 1.5 divided by 1.2
Answer:
1.25
Step-by-step explanation:
1.5 divided by 1.2 is 1.25
Hope this helps☺️
Answer:
1.25
Step-by-step explanation:
1.5 / 1.2 = 15/12 = 5/4 = 1 1/4 = 1.25
Two functions are by f(x)=3x+18(x)= 2 x1. Find (g.f) (x).
The (g.f)(x) of the two functions is:
(g.f) (x) = 6x + 37
How to find (g.f)(x) of the two functions?A function is an expression that shows the relationship between the independent variable and the dependent variable. A function is usually denoted by letters such as f, g, etc.
To find (g.f) (x), follow the steps below:
1. Substitute the value of f(x) into the function g(x).
2. Then simplify the expression.
That is:
f(x) = 3x+18
g(x) = 2x+1
Thus, we have:
(g.f) (x) = g(f(x))
(g.f) (x) = g(3x+18)
(g.f) (x) = 2(3x+18) + 1
(g.f) (x) = 6x+36 + 1
(g.f) (x) = 6x + 37
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The capacity of a water tank is 10000 litres and there is 4800 litres of water. A water tap can fill 40 litres of water per minute and another tap can empty 25 litres of water per minute. If both the taps are opened together for 10 minutes, then how much water will be in the tank after 10 minutes?
The amount of water tank with water after 10 minutes will be 4950 liters.
To solve this problem, we need to keep track of the net flow of water into the tank over the course of 10 minutes. The tap filling water adds water to the tank, while the tap emptying water removes water from the tank.
Let's calculate the net flow rate of water per minute:
Flow rate = (filling tap flow rate) - (emptying tap flow rate)
Flow rate = 40 L/min - 25 L/min
Flow rate = 15 L/min
Now, we can calculate the net flow of water over 10 minutes:
Net flow of water = (flow rate) * (time)
Net flow of water = 15 L/min * 10 min
Net flow of water = 150 L
Therefore, over the course of 10 minutes, the net flow of water into the tank is 150 liters.
Initially, the tank had 4800 liters of water. Adding the net flow of water, we can determine the final amount of water in the tank:
Final amount of water = (initial amount of water) + (net flow of water)
Final amount of water = 4800 L + 150 L
Final amount of water = 4950 L
After 10 minutes, there will be 4950 liters of water in the tank.
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I’m stuck on this question??????????????
Answer:
You are? so am I
Step-by-step explanation:
Answer:
1. 49, 2. 245
Step-by-step explanation:
Add 16 and 33 together to get 49 minutes. That is what Blaire listens to in one day. Multiply that by 5 and you find out what she listens to in 5 days
Which transformation results in the function?
The transformations of f(x) are (a) a horizontal shrink by a factor of 1/4,
How to describe the transformation from the parent function?From the question, we have the following functions that can be used in our computation:
f(x) = x²
g(x) = (4x)²
Mathematically, these equations can be represented as
g(x) = f(4x)
The above equations implies that, we have the transformation to be:
The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4
Hence, the transformed function is (a)
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List all the subsets of the given set.
{e, n, t}
The subsets of the set {e, n, t} are given as follows:
{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.
How to obtain the number of subsets in a set?Considering a set with n elements, the number of subsets in the set is the nth power of 2, that is:
\(2^n\)
The set for this problem is given as follows:
{e, n, t}
The cardinality is given as follows:
n = 3.
Hence the number of subsets is given as follows:
2³ = 8.
The subsets are given as follows:
{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.
In which {} is the empty set.
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PLEASE HELP
Solve the following system algebraically. y = x^2 + 11 and y = –12x
Answer:
x^2+12x=-11
Step-by-step explanation:
Answer:
(-1, 12) and (-11, 132)
Step-by-step explanation:
triangle PQR with vertices p(6,-6) and R(9,-7) and R(7,-4) is drawn inside a rectangle as as shown below what's is the area in square units of triangle PQR
Answer:
3.5 square units
Explanation:
We can model the situation as:
Now, the area of the triangle is equal to the area of the square less the areas A, B, and C.
So, the area of the square is equal to:
Area Square = Side x Side = 3 x 3 = 9
On the other hand, the area of the triangles A, B, and C are:
\(\begin{gathered} \text{Area A = }\frac{Base\times Height}{2}=\frac{2\times3}{2}=3 \\ \text{Area B=}\frac{Base\times Height}{2}=\frac{1\times2}{2}=1 \\ \text{Area C = }\frac{Base\times Height}{2}=\frac{3\times1}{2}=1.5 \end{gathered}\)Therefore, the area of the triangle with vertices P, Q, and R is:
Area = Area Square - ( Area A + Area B + Area C)
Area = 9 - ( 3 + 1 + 1.5)
Area = 9 - 5.5
Area = 3.5
So, the answer is 3.5 square units
Pls help with math !!!
Kevin's kick can be considered the best among the four.
To determine the most impressive kick, we can compare the distances and heights achieved by each player.
Andre's kick reached a maximum height of 17 yards and landed 48 yards away from the goal.
Juana's kick followed the path y = -x + 14 - 24, where y represents the height of the ball in yards and x represents the horizontal distance from the goal line. From the graph, we can estimate that her kick landed about 38 yards from the goal and reached a maximum height of 14 yards.
Kevin's kick is shown in the graph, indicating that it landed approximately 19 yards from the goal and had a peak height of 20 yards.
Emiko's kick reached a maximum height of 18 yards and landed approximately 20 yards from the goal.
Considering these measurements, Kevin's kick stands out. It traveled the farthest, landing closest to the goal line, and it achieved the highest height, reaching 20 yards. Consequently, Kevin's kick can be considered the best among the four.
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During practice, the players on a softball team warm up by running the bases. This graph shows the relationship between the number of hours, x, of practice the players attend and the number of minutes, y, the players spend running the bases.
How many minutes do the players spend running the bases during each hour of practice?
The number of minutes that the players spend running bases during each hour of practice is the constant of proportionality of the proportional relationship.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
In the context of this problem, the variables x and y are given as follows:
Variable x: number of hours.Variable y: time spent running the bases.The equation for the constant is given as follows:
k = y/x.
Representing the hourly time spent running times, you can calculate it taking any point (x,y) on the graph of the function.
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What is 7^2 divided by(4+3)
What is ( 6+2^2)X 10)
Answer:
7^2/(4+3)=7^2/7=7
(6+2^2)*10=(6+4)*10=10*10=100
Step-by-step explanation:
7²÷(4+3)
First you solve the bracket first;
7²÷(7)
And then you multiply 7 by 7 because of 7²
So it is going to be;
49÷7
=7
(6+2²)×10
Solve bracket first;
(6+2×2)
(6+4)×10
10×10
=100
Which expression is equivalent to (7-8)(73)?
Answer:
The answer would be -73
Answer: 7^-5
Step-by-step explanation: I did it