Answer:
0.343
Step-by-step explanation:
First, find the different ways one can chose a professor or instructor. In this case, there are 8 professors and 4 instructors. So there are a total of 12 ways you can choose a professor or instructor.
Second, you want to find the different ways you can choose any member of the faculty. In this example, since you are only choosing one person, then you just find the total number of people in the faculty, which is 8 + 11 + 12 + 4 = 35.
Third, all you do is divide the different ways you can get a professor or instructor by the total different ways you can choose. So it's 12/35, or 0.343.
Construct a frequency distribution and a frequency histogram for the given data set using the indicated number of classes. Describe any patterns.
Number of classes: 8
Data set: Reaction times (in milliseconds) of 30 adult females to an auditory stimulus.
430 386 352 301 450 291 429 467 454 385 380
373 386 307 321 336 310 413 306 357 514 443
442 326 508 424 386 429 412 418
Answer:
The histogram for the data is attached below.
Step-by-step explanation:
Arrange the data in ascending order as follows:
S = {291 , 301 , 306 , 307 , 310 , 321 , 326 , 336 , 352 , 357 , 373 , 380 , 385 , 386 , 386 , 386 , 412 , 413 , 418 , 424 , 429 , 429 , 430 , 442 , 443 , 450 , 454 , 467 , 508 , 514}
Compute the range:
[tex]Range=Max.-Min.\\=514-291\\=223[/tex]
Compute the class width:
[tex]Class\ Width =\frac{Range}{No.\ of\ classes}=\frac{223}{8}=27.875\approx 28[/tex]
The classes are as follows:
290 - 318
319 - 347
348 - 376
377 - 405
406 - 434
435 - 463
464 - 492
493 - 521
Compute the frequency distribution as follows:
Class Interval Frequency
290 - 318 5
319 - 347 3
348 - 376 3
377 - 405 5
406 - 434 7
435 - 463 4
464 - 492 1
493 - 521 2
The histogram for the data is attached below.
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = x3 + 3x2 − 72x
Answer:
x = -6 and x = 4
Step-by-step explanation:
In math, the critical points of a function are the points where the derivative equals zero.
So, first we will find the derivative of the function. The derivative is:
[tex]f'(x)=3x^2 +6x-72[/tex]
Now, we are going to make the derivative equal zero and find the answers of the equation.
[tex]3x^2 +6x-72=0\\3(x^2 +2x-24)=0\\3(x+6)(x-4)=0\\[/tex]
So we have that the critical points are the answers to this equation:
[tex]x+6= 0 \\x= - 6[/tex]
and
[tex]x-4=0\\x=4[/tex]
Thus, the critical points are x=-6 and x=4
Using it's concept, it is found that the critical numbers of the function are:
x = -6 and x = 4.
The critical numbers of a function f(x) are the values of x for which it's derivative is zero, that is:
[tex]f^{\prime}(x) = 0[/tex]
In this problem, the function is:
[tex]f(x) = x^3 + 3x^2 - 72x[/tex]
The derivative is:
[tex]f^{\prime}(x) = 3x^2 + 6x - 72[/tex]
[tex]f^{\prime}(x) = 3(x^2 + 2x - 24)[/tex]
Then:
[tex]f^{\prime}(x) = 0[/tex]
[tex]3(x^2 + 2x - 24) = 0[/tex]
[tex]x^2 + 2x - 24 = 0[/tex]
Which is a quadratic equation with coefficients [tex]a = 1, b = 2, c = -24[/tex], which we have to solve.
[tex]\Delta = 2^2 - 4(1)(-24) = 100[/tex]
[tex]x_{1} = \frac{-2 + \sqrt{100}}{2} = 4[/tex]
[tex]x_{2} = \frac{-2 - \sqrt{100}}{2} = -6[/tex]
The critical numbers of the function are x = 4 and x = -6.
A similar problem is given at https://brainly.com/question/16944025
heLpPppPPpppPPpppppPPpppPPpppPPpppPPPpppPPPpppPPPPppppp
Answer:
Triangle D is your answer.
Answer:
Hey there!
Triangle C is unique, as one side and two angles determine a unique triangle.
Hope this helps :)
Score: 16.17/50
25/50 answered
Question 29
Juan invests $5,000 at 11% simple interest for 1 year. How much is in the account at the end of the 1 yea
period?
Answers
Submit Question
Answer:
There will be $4450 left at the end of the year.
Step-by-step explanation:
We first take 11% and multiply it by $5,000. We get 550. This means that the account will lose $550. Next, we take our original amount, $5,000, and subtract $550 from it. We will get $4450.
show all work!!!!! brainleist will be given!
Answer:
+30
Step-by-step explanation:
1255- 1075 = 180
180 /6 = 30
A horse is free to roam and feed in an enclosed pasture that is 150 feet by 200 feet. At any given time, what is the probability that the horse is at least 25 feet away from all boundary lines?
25/250 = 1/10
I do not know that much english. I an spanish so I might have done it wrong.
the probability that the horse is at least 25 feet away from all boundary lines is 0.5
To calculate the probability that the horse is at least 25 feet away from all boundary lines in an enclosed pasture that is 150 feet by 200 feet, we need to consider the available space for the horse to roam.
The area of the pasture is given by:
Area = Length * Width = 150 feet * 200 feet = 30,000 square feet
Now, let's consider the area where the horse must stay within at least 25 feet away from all boundary lines. We can imagine this as a rectangular strip along the inner boundary of the pasture, with dimensions reduced by 50 feet on each side.
The dimensions of this rectangular strip would be:
Length = 150 feet - 2 * 25 feet = 100 feet
Width = 200 feet - 2 * 25 feet = 150 feet
The area of this rectangular strip is given by:
Area_strip = Length * Width = 100 feet * 150 feet = 15,000 square feet
Therefore, the probability that the horse is at least 25 feet away from all boundary lines is:
Probability = Area_strip / Area = 15,000 square feet / 30,000 square feet = 0.5
The probability is 0.5 or 50%.
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Ingredients
•1 1/2
cups all-purpose flour.
• 31/2 teaspoons baking powder.
• 1 teaspoon salt.
1 tablespoon white sugar.
• 1 1/4 cups milk.
• 1 egg.
• 3 tablespoons butter.
1.) How much of each of the ingredients do you need to make 16 pancakes, 4 pancakes, 12pancakes? Explain which operations with fractions you used to obtain your answer.
Answer:
To make 16 pancakes, we would multiply each of the initial measurement of the ingredients by 16.
To make 4 pancakes, we would multiply each of the initial measurement of the ingredients by 4.
To make 12 pancakes, we would multiply each of the initial measurement of the ingredients by 12.
see explanation below
Step-by-step explanation:
If the ingredients to make 1 pancake is as follows:
1 1/2 cups all-purpose flour; 31/2 teaspoons baking powder; 1 teaspoon salt.
1 tablespoon white sugar.; 1 1/4 cups milk; 1 egg; and 3 tablespoons butter.
Then to make 16 pancakes, we would multiply each of the initial measurement of the ingredients by 16.
cups all-purpose flour =16× 1 1/2
= 16×3/2 = 24
teaspoons baking powder = 16 ×7/2 = 56
teaspoon salt = 1×16 = 16
tablespoon white sugar= 1×16 = 16
cups milk= 16×5/4 = 20
egg= 1×16 = 16
tablespoons butter= 3×16 = 48
Then to make 4 pancakes, we would multiply each of the initial measurement of the ingredients by 4.
cups all-purpose flour =4× 1 1/2
= 4×3/2 = 6
teaspoons baking powder = 4 ×7/2 =14
teaspoon salt = 1×4 = 4
tablespoon white sugar= 1×4 = 4
cups milk= 4×5/4 = 5
egg= 1×4 = 4
tablespoons butter= 3×4 = 12
Then to make 12 pancakes, we would multiply each of the initial measurement of the ingredients by 12.
cups all-purpose flour =12× 1 1/2
= 12×3/2 = 18
teaspoons baking powder = 12 ×7/2 =42
teaspoon salt = 1×12 = 12
tablespoon white sugar= 1×12 = 12
cups milk= 12×5/4 = 15
egg= 1×12 = 12
tablespoons butter= 3×12 = 36
The operation applied is multiplication with each fraction.
The radius of a nitrogen atom is 5.6 × 10-11 meters, and the radius of a beryllium atom is 1.12 × 10-10 meters. Which atom has a larger radius, and by how many times is it larger than the other?
Answer:
Beryllium, 2 times
Step-by-step explanation:
1.12×10⁻¹⁰ has a higher exponent than 5.6×10⁻¹¹.
-10 > -11
The ratio between them is:
(1.12×10⁻¹⁰) / (5.6×10⁻¹¹)
(1.12 / 5.6) (10⁻¹⁰ / 10⁻¹¹)
0.2 × 10¹
2
Gravel is being dumped from a conveyor belt at a rate of 35 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 12 ft high? (Round your answer to two decimal places.)
Answer:
0.31 ft/s
Step-by-step explanation:
The volume of a cone is given by the formula:
V = πr²h/3
From the question, we are given the diameter and the height to be equal, thus;
r = h/2
Putting h/2 for r into the volume equation, we have;
V = (π(h/2)²h)/3
V = πh³/12
Using implicit derivatives,we have;
dV/dt = (πh²/4)(dh/dt)
From the question, we want to find out how fast is the height of the pile increasing. This is dh/dt.
We have;
dV/dt = 35 ft³/min and h = 12ft
Plugging in the relevant values, we have;
35 = (π×12²/4)(dh/dt)
dh/dt = (35 × 4)/(144 × π)
dh/dt = 0.3095 ft/s ≈ 0.31 ft/s
PLZ help me !!!!!! QUICKLY
What is the solution to the inequality −1/6e ≥ 2 ?
Answer:
e < -12Step-by-step explanation:
In algebra, we always need to follow a set of steps that involve undoing the operations that led to the equation to reveal the value of x.
Step 1: Divide by -1/6e < -12
(Since we divided by a negative number, we must reverse the inequality sign.)
Step 2: Check(-1/6)(-12) > 2
2 > 2 ✅
Now we check a number less than -12, such as -14.
(-1/6)(-14) > 2
2 1/3 > 2 ✅
The correct answer is: e < -12I'm always happy to help :)A hospital found that a lower outside temperature indicates a higher number of patient visits. What can we determine from this
Information?
Answer:
Second Answer
Step-by-step explanation:
Please answer soon. Include Statement and Reason if possible.
Given: ΔABC, AC = BC, AB = 3
CD ⊥ AB, CD = √3
Find: AC
====================================================
Explanation:
Triangle CDA is congruent to triangle CDB. We can use the HL (hypotenuse leg) congruence theorem to prove this. This only works because we have two right triangles.
Since CDA and CDB are congruent, this means their corresponding pieces are the same length. Specifically AD = DB, so
AD+DB = AB
AD+AD = 3
2*AD = 3
AD = 3/2 = 1.5
For triangle CDA, we have AD = 3/2 = 1.5 and CD = sqrt(3). We can use the pythagorean theorem to find the missing side AC
a^2 + b^2 = c^2
(AD)^2 + (CD)^2 = (AC)^2
(3/2)^2 + (sqrt(3))^2 = (AC)^2
9/4 + 3 = (AC)^2
(AC)^2 = 9/4 + 3
(AC)^2 = 9/4 + 12/4
(AC)^2 = 21/4
AC = sqrt(21/4)
AC = sqrt(21)/sqrt(4)
AC = sqrt(21)/2
This is the same as writing (1/2)*sqrt(21) or 0.5*sqrt(21)
What is the volume of the cylinder below? Use the formula V = πr²h
Answer:
[tex]\boxed{V = 339.12 ft^3}[/tex]
Step-by-step explanation:
V = [tex]\pi r^2 h[/tex]
Where r = 3, h = 12
V = (3.14)(3)²(12)
V = (3.14)(9)(12)
V = 339.12 ft³
Factor the polynomial completely.
Q(x) = x4 − 1
Q(x)=
Find all its zeros. State the multiplicity of each zero. (Order your answers from smallest to largest real, followed by complex answers ordered smallest to largest real part, then smallest to largest imaginary part.)
x= ?? multiplicty= ??
x= ?? multiplicty= ??
x= ?? multiplicty= ??
x= ?? multiplicty= ??
Answer: (x^2-1)(x^2+1)=(x-1)(x+1)(x^2+1)
Step-by-step explanation:
(x²+1)(x²-1) are factors of polynomial x4-1 and x=1,-1, i are the roots of x⁴ − 1.
What is Polynomial?A polynomial is an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.
The given polynomial is Q(x) = x⁴ − 1.
We can write it as (x²)²-1²
We have a algebraic formula which is
a²-b²=(a+b)(a-b)
Similarly
(x²)²-1²=(x²+1)(x²-1)
Now let us find the roots of factors (x²+1) and (x²-1)
x²+1=x=√-1=i,-i
x²-1=x=1,-1
The multiplicity of the roots is always one.
Hence (x²+1)(x²-1) are factors of polynomial x4-1 and x=1,-1, i are the roots of x⁴ − 1.
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solve. 5 (y-1)+6= -9
Answer:
y=-2
Step-by-step explanation:
5 (y-1)+6= -9
Subtract 6 from each side
5 (y-1)+6-6= -9-6
5 ( y-1) = -15
Divide by 5
5(y-1)/5 = -15/5
y-1 = -3
Add 1 to each side
y-1+1 = -3+1
y = -2
How to find the length of AB
Answers
A. 11.62
B. 27.22
C. 19.78
D. 22.02
Answer:
The answer is option C
Step-by-step explanation:
To find the length of AB we use sine
sin∅ = opposite / hypotenuse
From the question
The hypotenuse is AB
The opposite is AC
So we have
sin 54 = AC/AB
sin 54 = 16 / AB
AB = 16/sin 54
AB = 19.777
AB = 19.78Hope this helps you
Answer:
AB = 19.78
Step-by-step explanation:
From the diagram (Right-angle triangle):
AC = 16
AB = ?
Angle = 54°
Applying trig ratio:
Tan 54° = 16/BC
1.376381920 = 16/BC
Therefore;
BC = 16/1.376381920
BC = 11.62
To solve the length AB:
Cos 54° = BC/AB
0.587785252 = 11.62/AB
Solving AB gives:
AB = 11.62/0.587785252
AB = 19.78
What is the slope of the line shown below (3,9) (1,1)
Answer:
slope m = 4Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points
[tex](3;\ 9)\to x_1=3;\ y_1=9\\(1;\ 1)\to x_2=1;\ y_2=1[/tex]
Substitute:
[tex]m=\dfrac{1-9}{1-3}=\dfrac{-8}{-2}=4[/tex]
Answer:
m=4
Step-by-step explanation:
Slope can be found using the following formula:
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
where [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] are points on the line.
We are given the points (3,9) and (1,1). Therefore,
[tex]x_{1}=3\\y_{1}=9 \\x_{2}=1\\y_{2}=1[/tex]
Substitute each value into the formula.
[tex]m=\frac{1-9}{1-3}[/tex]
Subtract in the numerator first.
[tex]m=\frac{-8}{1-3}[/tex]
Subtract in the denominator.
[tex]m=\frac{-8}{-2}[/tex]
Divide.
[tex]m=4[/tex]
The slope of the line is 4.
∛3375-[tex]\sqrt[4]{38416}[/tex]=?
Answer:
1
Step-by-step explanation:
=> [tex]\sqrt[3]{3375} - \sqrt[4]{38416}[/tex]
Factorizing 3375 gives 15 * 15 * 15 which equals 15^3 and factorizing 38416 gives 14 * 14 * 14 * 14 which equals 14^4
=> [tex]\sqrt[3]{15^3} - \sqrt[4]{14^4}[/tex]
=> 15 - 14
=> 1
Answer:
1Step-by-step explanation:
[tex] \sqrt[3]{3375} - \sqrt[4]{38416} [/tex]
Calculate the cube root
[tex] \sqrt[3]{ {15}^{3} } - \sqrt[4]{38416} [/tex]
Calculate the root
[tex] \sqrt[3]{ {15}^{3} } - \sqrt[4]{ {14}^{4} } [/tex]
[tex] {15}^{ \frac{3}{3} } - {14}^{ \frac{4}{4} } [/tex]
[tex]15 - 14[/tex]
Subtract the numbers
[tex]1[/tex]
Hope this helps...
The area of a square is 64n36. What is the length of one side of the square?
Answer:
8n6
step by step explanation.
Regulation baseballs have a diameter that is either 23.2 mm or 24.2 mm. What is the difference in volume of the baseballs? Round to the nearest hundredth. Use pi equals 3.14. V equals ____________ mm cubed Type your numerical answer (without units) below.
Answer:
ΔV = 865.51 mm^3
Step-by-step explanation:
In order to calculate the difference in volume between both baseballs you use the following formula for the volume of a sphere:
[tex]V=\frac{4}{3}\pi r^3[/tex] (1)
where r is the radius of he sphere.
You calculate the volume of each sphere:
First baseball:
radius = 23.2mm/2 = 11.61mm
[tex]V_1=\frac{4}{3}\pi (11.61mm)^3=6555.18\ mm^3[/tex]
Second baseball:
radius = 24.2mm/2 = 12.1mm
[tex]V_2=\frac{4}{3}\pi (12.10)^3=7420.70\ mm^3[/tex]
Then, the difference in the volumen of both spheres is:
[tex]\Delta V=V_2-V_1=7420\ mm^3-6555.18\ mm^3=865.51\ mm^3[/tex]
Cameron sponsor a fun raiser that 582 people attended he raise $6480 he charged $15 for balcony seats and $10 for crown seats how many people bought balcony seats and how many people bought ground seats
Answer:
132 people bought balcony tickets and 450 bout ground tickets
Step-by-step explanation:
let x be balcony and y for ground
x+y=582
15x+10y=6480 solve by adding(subtracting)/eliminating process
multiply first equation by 15 to eliminate x:
15x+15y=8730
15x+10y=6480 subtract
15x+15y-15x-10y=8730-6480
5y=2250
y=2250/5=450
x+y=582
x=582-450=132
Con proceso por favor
Answer:se
Step-by-step explanation:
Question
Given that tan(0) =5/12
and 0 is in Quadrant III. what is cos(0)? Write your answer in exact form. Do not round.
Provide your answer below:
Answer:
cosΘ = - [tex]\frac{12}{13}[/tex]
Step-by-step explanation:
Given that Θ is in the third quadrant then cosΘ < 0
Given
tanΘ = [tex]\frac{5}{12}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]
Then 5 and 12 are the legs of a right triangle (5- 12- 13 ) with hypotenuse = 13
Thus
cosΘ = - [tex]\frac{adjacent}{hypotenuse}[/tex] = - [tex]\frac{12}{13}[/tex]
The amount of precipitation (in inches) in June of a recent year was measured in some randomly selected Michigan and Ohio cities (see below).
Assume that the mean amount of June precipitation in Michigan and Ohio cities are both approximately normally distributed.
Construct a 98% confidence interval for the difference of the mean amount of June precipitation in Michigan cities minus mean amount of June precipitation in Ohio cities.
Michigan Ohio
Lansing :3.46 Akron:3.15
BigRapids :3.27 Dayton:4.17
Monroe:3.62 Fremont:4.06
Marquette:2.68 Toledo:3.86
Alpena:2.68 Cincinnate:4.17
Answer:
The 98% confidence interval for the difference of the mean amount of June precipitation in Michigan cities and Ohio cities is (-1.77, 0.29).
Step-by-step explanation:
The (1 - α)% confidence interval for the difference between two population mean is:
[tex]CI=(\bar x_{1}-\bar x_{2})\pm t_{\alpha/2, (n-1)}\cdot\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}}}[/tex]
Compute the value of sample means and sample standard deviations from the provided data.
[tex]\bar x_{1}=3.142\\\\\bar x_{2}=3.882\\\\s_{1}=0.4396\\\\s_{2}=0.4283\\n_{1}=n_{2}=5[/tex]
The critical value of t for 98% confidence level and (n - 1) = 4 degrees of freedom is:
[tex]t_{\alpha/2, (n-1)}=t_{0.02/2, 4}=3.747[/tex]
Compute the 98% confidence interval for the difference of the mean amount of June precipitation in Michigan cities and Ohio cities as follows:
[tex]CI=(\bar x_{1}-\bar x_{2})\pm t_{\alpha/2, (n-1)}\cdot\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}}}[/tex]
[tex]=(3.142-3.882)\pm3.747\cdot\sqrt{\frac{0.4396^{2}}{5}+\frac{0.4283^{2}}{5}}\\\\=-0.74\pm 1.0285\\\\=(-1.7685, 0.2885)\\\\\approx (-1.77, 0.29)[/tex]
Thus, the 98% confidence interval for the difference of the mean amount of June precipitation in Michigan cities and Ohio cities is (-1.77, 0.29).
Evaluate each expression for the given values of the variables: a+b+c , if a=5; b=–1; c=–8
Answer:
The answer is
- 4Step-by-step explanation:
a + b + c
a = 5 b = - 1 c = - 8
Substitute the values of a , b , c into the above expression
That's
5 + ( - 1) + ( - 8)
5 - 1 - 8
Subtract the numbers
4 - 8
We have the final answer as
- 4Hope this helps you
Answer:
-4
Step-by-step explanation:
5 + - 1 - 8= -4
This table shows values that represent an exponential function. What is the average rate of change for this function for the interval from x=3 to x=5?
Answer: The average rate of change for this function for the interval from x=3 to x=5 is 12.
Step-by-step explanation:
Complete question is provided in the attachment below.
Formula: The average rate of change for this function y=f(x) for the interval from x= a to x= b :
[tex]Rate =\dfrac{f(b)-f(a)}{b-a}[/tex]
Let y= f(x) for the given table:
At x= 3 , f(3)=8 and f(5)=32
Then, the average rate of change for this function for the interval from x=3 to x=5:
[tex]Rate=\dfrac{f(5)-f(3)}{5-3}\\\\=\dfrac{32-8}{2}\\\\=\dfrac{24}{2}=12[/tex]
Hence, the average rate of change for this function for the interval from x=3 to x=5 is 12. (Option A is correct.)
plzzzz solve the second one
Answer:
x=10/3
Step-by-step explanation:
isolate the variable
Answer:
1. x = 4
2. x = 10/3
Step-by-step explanation:
1. 3x - 5 = 3 + x
3x - x = 3 + 5
2x = 8
x = 4
2. x/2 + 5/9 = 2x/3
(x/2 + 5/9) * 18 = (2x/3) * 18
9x + 10 = 12x
10 = 12x - 9x
10 = 3x
x = 10/3
A crew clears brush at a rate 2/3 acre in 2 days. How long will it take the same crew to clear the entire plot of 4 acres?
Answer:
It takes the crew 12 days to clear the bush.
Step-by-step explanation:
Given clears 2/3 acres / 2 days, or 1/3 acre per day
Time to clear 4 acres
= 4 / (1/3)
= 4 * (3/1)
= 12 days
simplify the following expressions showing the steps:
(9+9.4i)+(-8.6-4i)
(9.4i)(-4i)
Answer:
a) 17.6 + 5.4i
b) 37.6
Step-by-step explanation:
a) (9 + 9.4i) + (8.6 - 4i)
Collect like terms:
9 + 8.6 + 9.4i - 4i
= 17.6 + 5.4i
b) (9.4i)(-4i)
Expand the brackets:
9.4 * -4 * i * i
[tex]i = \sqrt{-1}[/tex]
Therefore, i * i = -1
=> (9.4i)(-4i) = -37.6 * -1
= 37.6
The charge to rent a trailer is $2525 for up to 2 hours plus $99 per additional hour or portion of an hour. Find the cost to rent a trailer for 2.82.8 hours, 33 hours, and 8.78.7 hours. Then graph all ordered pairs, (hours, cost), for the function.
The question is not written properly! Complete question along with answer and step by step explanation is provided below.
Question:
The charge to rent a trailer is $25 for up to 2 hours plus $9 per additional hour or portion of an hour.
Find the cost to rent a trailer for 2.8 hours, 3 hours, and 8.7 hours.
Then graph all ordered pairs, (hours, cost), for the function.
Answer:
ordered pair = (2.8, 34)
ordered pair = (3, 34)
ordered pair = (8.7, 88)
Step-by-step explanation:
Charge for 2.8 hours:
$25 for 2 hours
$9 for 0.8 hour
Total = $25 + $9
Total = $34
ordered pair = (2.8, 34)
Charge for 3 hours:
$25 for 2 hours
$9 for 1 hour
Total = $25 + $9
Total = $34
ordered pair = (3, 34)
Charge for 8.7 hours:
$25 for 2 hours
$9 for 1 hour
$9 for 1 hour
$9 for 1 hour
$9 for 1 hour
$9 for 1 hour
$9 for 1 hour
$9 for 0.7 hour
Total = $25 + $9 + $9 + $9 + $9 + $9 + $9 + $9
Total = $88
ordered pair = (8.7, 88)
The obtained ordered pairs are graphed, please refer to the attached graph.