Answer:
congruent
Step-by-step explanation:
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11. PARKS The Hillsborough State Park in Thonotosassa, Florida, charges an admission fee of $4 plus a camping fee
of $20 per night. This can be represented by the function f(x)=20x +4, where f(x) is the total cost and x is the
number of nights spent camping. What is the value of f(5), which is the cost of 5 nights camping?
A. 80
B. 100
C. 104
D. 120
The cost of staying at Hillsborough State Park in Thonotosassa, Florida, for 5 nights is 104 dollars.
What is a function ?A function can be thought of as an output for the given set of inputs.
According to the given question PARKS The Hillsborough State Park in Thonotosassa, Florida, charges an admission fee of $4 plus a camping fee of $20 per night.
This can be represented by the function f(x)=20x +4, where f(x) is the total cost and x is the number of nights spent camping.
∴ The cost of staying for 5 nights we can determine by putting x = 5 in f(x).
So, f(5) = 20(5) + 4.
f(5) = 100 + 4.
f(5) = 104 dollars.
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Evaluate the expression when x=25 and y = – 4.
VX y
S!
y
у
y
(Type an integer or a simplified fraction.)
(SOMEONE PLEASE ANSWER TIMED TEST)
Answer:
answer is xy
Step-by-step explanation:
✓x-y=xy
y x=xy
In response to the increasing weight of airline passengers, the Federal Aviation Administration in 2003 told airlines to assume that passengers average 196 pounds in the summer, including clothing and carry-on baggage. But passengers vary, and the FAA did not specify a standard deviation. A reasonable standard deviation is 32 pounds. Weights are not Normally distributed, especially when the population includes both men and women, but they are not very non-Normal. A commuter plane carries 18 passengers. What is the approximate probability that the total weight of the passengers exceeds 3928 pounds
Answer: 0.0016
Step-by-step explanation:
Given the following :
Population mean(m) = 196
Population Standard deviation (sd) = 32
Number of sample (n) = 18
Sample mean (x) = Total weight of sample / number of samples = 3928 / 18 = 218.2
Obtaining the test statistic (z) :
Z = [(x - m) / (sd/√n)]
Z = [(218.2 - 196) / (32/√18)]
Z = [(22.2 / 7.5424723)]
Z = 2.943
Hence,
P(Z > 2.94) = 1 - P(Z < 2.94)
= 1 - 0.9984
= 0.0016
What is the exact circumference of a circle with a diameter of 18cm? *
•36pi
•18pi
•9pi
•3.14
y = 8x- 18
y-intercept:
x-intercept
:
Answer:
the y-intercept is -18
Step-by-step explanation:
hope i couldve help :)
James is trying to save money for college. When
he is 5 years old, his uncle puts $750 into a
savings account for him. The money should
increase by 5% each year until he needs it for
college.
Write an exponential model for this situation.
Answer:
\(y=(750)1.05^t\), where \(t\) is the time (in years) from investment
Or \(y=(750)1.05^{t-5}\), where \(t\) is the age of James
Step-by-step explanation:
exponential model: \(y=ab^t\), where \(t\) is the time (in years) from investment
when t = 0, y = 750
\(\implies 750=ab^0\)
As \(b^0=1\)
\(\implies 750=a\)
Therefore, \(y=750b^t\)
If the savings increase by 5% each year, then b = 105%.
105% = 105/100 = 1.05
Therefore, b = 1.05
So final model: \(y=(750)1.05^t\), where \(t\) is the time (in years) from investment
Or, we can write this as \(y=(750)1.05^{t-5}\), where \(t\) is the age of James
Two fish tanks have measurements as shown. Which tank has a greater volume? How much greater is its volume? Use the drop-down menus to explain and show your answer. Fish Tank A shows an area of base that is 25 square feet and a height of 8 feet. Fish Tank B shows an area of base that is 40 square feet and a height of 4 feet. The volume of fish tank A is cubic feet, and the volume of fish tank B is cubic feet. So fish tank has a greater volume. Its volume is greater by cubic feet.
Answer:
The volume of fish tank A is 200 cubic feet, and the volume of fish tank B is 160 cubic feet. So fish tank A
has a greater volume. Its volume is greater by 40 cubic feet.
-
I just finished the Unit Test and got it right, so I hope this helps.
(Bold is the answer(s) for each slot)
1.
All the sides of a triangle are the same length. If their lengths are 6 cm, what is the perimeter?
Answer: 6
Step-by-step explanation: Solution: Perimeter of the triangle is the sum of the lengths of its sides. Thus, perimeter = 10 cm. 6.
Suppose y varies directly with x. Write an equation relating x and y. y=-12 when x=20
Answer:
\(y = 8 - x\)
when x=20 so y=-12
In each figure below find m∠1 and m∠2, if a||b. Show your work with statements.
m<1=130°[alternate angle are equal again]
m<1+m<2180°[linear pair]
m<2=180°-130°
====================================
If you have any questions feel free to ask me^^
Have a nice and great day!
Cayler#PilipinasAngBayanKo
In a triangle the base is 4 inches and the height is 6 inches. Find the area. Type a numerical answer in the space
provided. Do not include units or use spaces in your answer.
Answer:
12
Step-by-step explanation:
area =1/2 base×height
=1/2 ×4×6
=12
How many commutes are exactly 68 minutes
Answer:
three
Step-by-step explanation:
stem. is the tens place and the leaf is the. ones place
so you want to find 68 so you look in the stem column and look for six
in the row there are 6 numbers which mean:
60, 61, 67, 68, 68, 68
as you can see there is three 68 there for the answer ths 3
The perimeter of the triangle below is 4x + 3y. Find the measure of the missing side.
Answer:
let side be t
t + x + y +x + y = 4x + 3y
t + 2x + 2y = 4x + 3y
t = 2x +y
so missing side length is 2x + y
carpet is sold in square yards how much carpet would a person need to buy for a rectangle that has dimensions of 10 yards by 18 feet
A person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.
How to determine the amount of carpet needed for a rectangular room?
To determine the amount of carpet needed for a rectangular room, you need to convert the measurements to the same unit of measurement. Since the carpet is sold in square yards, we need to convert the dimensions of the room to yards.
The length of the room is given in yards, so we don't need to make any conversions for that dimension. However, the width of the room is given in feet, so we need to convert it to yards by dividing by 3 (since there are 3 feet in a yard),
18 feet ÷ 3 feet/yard = 6 yards
So the dimensions of the room in yards are 10 yards by 6 yards.
To find the total area of the room, we need to multiply the length and width,
10 yards × 6 yards = 60 square yards
Therefore, a person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.
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Rationalize the denominator of the fraction: √5/√8 - √3
Answer:
Step-by-step explanation:
Remark
The editor must have brackets put around the denominator when there are 2 terms.
That means I think the question is (√5) / (√8 - √3). If this is incorrect, leave a note.
To rationalize the denominator, you must multiply numerator and denominator by the conjugate (√8 + √3).
Solution
√5 * (√8 - √3) / ( (√8 - √3) * (√8 + √3) )
I don't think there is any point in removing the brackets in the numerator. Just leave it.
The denominator is a different matter.
denominator = ( (√8 - √3) * (√8 + √3) )
√8 * √8 = 8
√8 * √3 = √24
- √3 * √8 = - √24
-√3 * √3 = - 3
Take a close look at the 2 middle terms. They cancel out because one of them is plus and the other minus.
What you are left with is 8 - 3 = 5
So the final answer is
√5 * (√8 - √3)
=============
5
In a circle, a 270° sector has area 300s in? What is the radius of the circle?
.
\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=300\pi \\ \theta =270 \end{cases}\implies 300\pi =\cfrac{(270)\pi r^2}{360}\implies 300\pi =\cfrac{3\pi r^2}{4} \\\\\\ 1200\pi =3\pi r^2\implies \cfrac{1200\pi }{3\pi }=r^2\implies 400=r^2\implies \sqrt{400}=r\implies 20=r\)
Anyone good at math I will pay $10 a test for someone to take my tests in mymathlab Mathlab also lets you pause the test and go look at the problems for help and you can take as much time as you need also you get three attempts per test I'm not good at math so need help anyway message me if your interested 7274304792 someone please help me !! I will venmo you money
help me please please
Answer:
40
Step-by-step explanation:
0.5 cup of sugar = 4 cups of ice cream
number of ½ cups -->5 divided by 0.5=10
5 cups of sugar = 4×10=40
mghzmgzgmgzmgyzudul
Answer:
♡ hi there♡
the gradient of the graph is 5♡
have a great day or night
-madeline
✧・゚: *✧・゚:・゚✧*:・゚✧・゚: *✧・゚:・゚✧*:・゚✧
Step-by-step explanation:
How much space will a cylindrical water tank occupy if its height is 100 cm and its diameter is 30
find the volume
Answer:
volume of a cylindrical water tank = 70,650cm³
Step-by-step explanation:
volume of cylinder, V = πr²h
where π = 3.14
h = 100cm
r = ?
given is diameter = 30cm
r = d/2 = 30/2 = 15cm
substituting the values in the formula,
V = 3.14 * 15² * 100
= 3.14 * 225 * 100
= 70,650cm³
Answer:
How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm
Volume: 706,500 cm³
Step-by-step explanation:
How much space it would take up:
To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.
The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.
To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.
A = π(15 cm)²
A = π(225 cm²)
A ≈ 706.86 cm²
So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.
The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.
Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.
Volume:
To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.
First, we need to find the radius by dividing the diameter by 2:
Radius = 30 cm / 2 = 15 cm
Now we can calculate the volume:
V = π(15 cm)²(100 cm)
V = 3.14 * 225 cm² * 100 cm
V = 706,500 cm³
Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.
please solve the question attached
1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.
2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.
What more should you know about the producer thoery?In the standard producer theory, a producer minimizes costs for a given level of output.
This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).
The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).
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The sum of 11 and three-fourths of a number is less than 112. What are the possible values of the number? Write an inequality that could be used to solve this problem. Use the letter, "x" as a variable and write the inequality so that the term, "x" term comes first. Where necessary, write numbers as fractions (rather than decimals)
The inequality that can be used to solve the possible values of the number is 11 + 3/4x < 112 where the number x is x < 134 2/3
How to write inequality?sum of 11 and three-fourths of a number is less than 112.
Let
The unknown number = x
11 + 3/4x < 112
Subtract 11 from both sides
3/4x < 112 - 11
3/4x < 101
divide both sides by 3/4
x < 101 ÷ 3/4
multiply by the reciprocal of 3/4
x < 101 × 4/3
x < 404/3
x < 134 2/3
Therefore, the inequality which represents the situation is 11 + 3/4x < 112.
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What is 1+57327392393629323
Answer:
57327392393629324
Step-by-step explanation:
An angle with an initial ray pointing in the 3-o'clock direction measures θ radians (where 0≤θ<2π). The circle's radius is 3 units long and the terminal point is located at (−2.69,−1.33)
a. The terminal point is how many radius lengths to the right of the circle's vertical diameter. H=____ radians
B.When we evaluate cos−1(h) using a calculator or computer, the value returned is
____ radians
c.Therefore, θ=
a) The terminal point is 0.896 radius length.
b) The value returned is -0.896.
We have,
The circle's radius is 3 units long and the terminal point is located at (−2.69,−1.33)
a. Since the circle's radius is 3 units long, we divide the x-coordinate by 3:
x-coordinate of terminal point: -2.69
Number of radius lengths to the right: -2.69 / 3 ≈ -0.896
However, since the angle is measured from the 3-o'clock direction, we consider it to be in the clockwise direction.
Thus, the number of radius lengths to the right is
Number of radius lengths to the right: -(-0.896) = 0.896
Therefore, the terminal point is 0.896 radius length.
b. Using Trigonometry
cos(h) = x-coordinate of terminal point / radius length
cos(h) = -2.69 / 3 ≈ -0.896
c. As, θ = h. From the given information, we have:
θ ≈ -0.896 radians
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30 POINTS FOR JUST ONE QUESTION!
Answer:
The answer would be D. $19.33
b. Does there appear to be any relationship between these two variables?
a. colder average low-temperature seems to lead to higher amounts of snowfall
b. there is no relationship
c. colder average low-temperature seems to lead to lower amounts of snowfall
c. Based on the scatter diagram, comment on any data points that seem to be unusual.
an average snowfall of nearly 100 inches.
a. no city has
b. only one city has
c. two cities have
d. three cities have
e. four cities have
f. more than four cities have
1. There is no relationship
2. Two cities have an average snowfall of nearly 100 inches.
What is the scatter plot?
A scatter plot, also known as a scatter diagram or scatter graph, displays the relationship between two variables. It is particularly beneficial for identifying any patterns or trends in the data and showing how one variable might be related to another.
In a scatter plot, each data point is represented on the graph by a dot or marker. The horizontal axis (x-axis) is frequently used to represent the independent variable or predictor, while the vertical axis (y-axis) is frequently used to represent the dependent variable or reaction. Each dot's locations on the graph correspond to the values of the two variables for that particular data point.
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if john makes $55 working 2 hours , how much would he make working 8 hours ?
Answer:
$220
Step-by-step explanation:
Find the amount of money John makes in one hour:
\(55\div2=27.5\)
\(=27.5\)
John makes $27.50 an hour, now multiply the amount of money earned per hour, by the number of hours he worked.
\(27.50\times8=220\)
\(=220\)
John made "$220 dollars an hour."
Hope this helps.
Help I need help I have 20 missing assignments
The functions f(x) = −(x − 1^)2 + 5 and g(x) = (x + 2)^2 − 3 have been rewritten using the completing-the-square method. Apply your knowledge of functions in vertex form to determine if the vertex for each function is a minimum or a maximum and explain your reasoning.
If we write a quadratic in vertex form:
\(y=a(x-h)^2+k\)
Then:
\(\bold{a}\) \(\longrightarrow\) is the coefficient of \(x^2\)
\(\bold{h}\) \(\longrightarrow\) is the axis of symmetry.
\(\bold{k}\) \(\longrightarrow\) is the max/min value of the function.
Also:
If \(a > 0\) then the parabola will be of the form \(\cup\) and will have a minimum value.
\(a < 0\) then the parabola will be of the form \(\cap\) and will have a minimum value.
For the given functions:
\(a < 0\)
\(f(x)=-(x-1)^2+5\) this has a maximum value of \(\bold{5}\)
\(a > 0\)
\(f(x)=(x+2)^2-3\) this has a minimum value of \(\bold{-3}\)
Explain your answer to the question in the picture with steps please, thank you.
Part (a)
Answer: Constant of proportionality = 5/8
Reason:
The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.
The direct proportion line must pass through the origin. In other words, the y intercept must be zero.
=====================================
Part (b)
Answer: Not Proportional
Reason:
The y intercept isn't zero.
Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.