Answer:
f^-1(x) = [tex]\sqrt[3]{(x + 4)/3}[/tex]
Step-by-step explanation:
y = 3x^3 - 4 ==> solve for x
y + 4 = 3x^3 ==> isolate x by adding 4 on both sides
(y + 4)/3 = x^3 ==> divide 3 into both sides
x = [tex]\sqrt[3]{(y + 4)/3}[/tex] ==> isolate x by taking the cube root on both sides
y = [tex]\sqrt[3]{(x + 4)/3}[/tex] ==> switch both x and y
f^-1(x) = [tex]\sqrt[3]{(x + 4)/3}[/tex]
Valerie and Seth are measuring the outside walls of a house using two different instruments. They want to find the house's perimeter. Valeria measured the north and east sides while Seth measured the west and south sides. Their results are listed in the table.
Part A
Use decimal numbers to write an expression that represents the length of the walls that Valerie measured.
Part B
Now use decimal numbers to write an expression that represents the length of the wall that Seth measured.
Part C
Write an expression for the perimeter of the house. Use the work you completed in part A & B to guide you.
Part D
Simplify the expression from part C to find the perimeter of the house in feet.
Part E
Suppose that you evaluate the expression for Valerie's wall and the expression for Seth's wall separately. Then you add the two expressions together. Will you get the same answer that you arrived at in part D? Why or why not? Show your work to prove your case.
PLEASE PLEASE PLEASE HELP I REALLY NEED HELP IN THIS WORK, THANK YOU.
Answer:
A)
Valerie measured 4 walls at 2 1/2 feet. In decimal form, each wall is 2.5 feet long. So, the total length of the 4 walls is (2.5 × 4) feet.
Valerie measured 3 walls at 21 1/4 feet. In decimal form, each wall is 21.25 feet long. So, the total length of the 3 walls is (21.25 × 3) feet.
Valerie measured 1 wall at 32 feet.
The expression that gives the total length of the walls that Valerie measured is (2.5 × 4) + (21.25 × 3) + 32.
B)
Seth measured 1 wall at 3.5 feet.
Seth measured 2 walls at 22.75 feet. So, the total length of the 2 walls is (22.75 × 2) feet.
Seth measured 1 wall at 58 feet.
The expression that gives the total length of the walls that Seth measured is 3.5 + (22.75 × 2) + 58.
C)
The total length of Valerie’s walls is (2.5 × 4) + (21.25 × 3) + 32.
The total length of Seth’s walls is 3.5 + (22.75 × 2) + 58.
To find the expression for the perimeter of the house, add Valerie’s expression to Seth’s:
(2.5 × 4) + (21.25 × 3) + 32 + 3.5 + (22.75 × 2) + 58.
D)
(2.5 × 4) + (21.25 × 3) + 32 + 3.5 + (22.75 × 2) + 58
= 10 + 63.75 + 32 + 3.5 + 45.5 + 58
= 212.75
The perimeter of the house is 212.75 feet.
E)
The total length of Valerie’s walls is 105.75 feet:
(2.5 × 4) + (21.25 × 3) + 32 = 10 + 63.75 + 32 = 105.75 feet.
The total length of Seth’s walls is 107 feet:
3.5 + (22.75 × 2) + 58 = 3.5 + 45.5 + 58 = 107 feet.
The sum of 105.75 feet and 107 feet is 212.75 feet. The Commutative Property allows me to add numbers in any order. This is why the answers in parts D and E match.
edmentum answers :)
Please please give answer
Answer:
A
Step-by-step explanation:
iTS JUST a
Answer:
Step-by-step explanation:
i cant see it
One last stop before you head home. You and your friends are worn out, but you can’t help but stop for a candy apple to eat on the ride home from Snack Centra. Yum! You would like to take some home to your family, so what’s the best deal? You can purchase 5 apples for $6.25 or 8 apples for $9.25. What’s the best way to spend your last few bucks?
Answer:
the 8 for 9.25
Step-by-step explanation:
that is the best deal because 1.25 dollars per apple for for the 5 apples for 6.25 dollars rather than 1.15 dollars per apple for the 8 apples for 9.25 dollars so therfore 8 for 9.15 is overall a better for the price per apple
2(x+5)=3x+1
How do I solve this
Answer:
x = 9
Step-by-step explanation:
2(x+5)=3x+1
Distributive Property
2x+10=3x+1
Subtract 2x from both sides
10=x+1
Subtract 1 from both sides
9=x
Correct form: x=9
Identify the digit with the given place value. 0.27845 hundredths
Answer:
7.
Step-by-step explanation:
Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.
For example, in the number 0.27845;
The place value of 0 is units.The place value of 2 is tenths.The place value of 7 is hundredths. The place value of 8 is thousandths. The place value of 4 is ten thousandths. The place value of 5 is hundred thousandths.Therefore, given the number 0.27845.
The digit representing hundredths in 0.27845 is 7.
Three car brands A, B, and C have all the market share in a certain city. Brand A has 20% of the market share, brand B has 30%, and brand C has 50%. The probability that a brand A car needs a major repair during the first year of purchase is 0.05, the probability that a brand B car needs a major repair during the first year of purchase is 0.10, and the probability that a brand C car needs a major repair during the first year of purchase is 0.15. a. What is the probability that a randomly selected car in the city needs a major repair during its first year of purchase? b. If a car in the city needs a major repair during its first year of purchase, what is the probability that it is a brand A car?
Answer:
a.) 0.115
b.) 0.087
Step-by-step explanation:
Given,
P(A) = 20% = 0.20
P(B) = 30% = 0.30
P(C) = 50% = 0.50
Let M - major repairing during first year
P(M/A ) = 0.05
P(M/B) = 0.10
P(M/C) = 0.15
a.)
P(M) = P(M∩A) + P(M∩B) + P(M∩C)
= P(M/A).P(A) + P(M/B).P(B) + P(M/C).P(C)
= (0.05)(0.20) + (0.30)(0.10) + (0.15)(0.50)
= 0.01 + 0.03 + 0.075
= 0.115
⇒P(M) = 0.115
b.)
P(A/M) = P(A∩M)/ P(M) = P(M/A).P(A)/P(M)
= (0.05)(0.20) / 0.115
= 0.01 / 0.115 = 0.087
⇒P(A/M) = 0.087
User will enter three grades averages (exam, project, and lab). Determine which of the three grades (consider any ties) is the highest grade and display the results. Determine which of the three grades (consider any ties) is the lowest grade and display the results. Check for any grades failing below 70% and display each individual grade. Calculate the average grade using the three grades and display the average grade. If they are all 70 and above then display the fact that they are all 70% or above.
Answer:
In Python:
exam = int(input("Exam: "))
project = int(input("Project: "))
lab = int(input("Lab: "))
if exam >= project and exam >= lab:
print("Highest Grade: "+str(exam))
elif project >= exam and project >= lab:
print("Highest Grade: "+str(project))
else:
print("Highest Grade: "+str(lab))
if exam <= project and exam <= lab:
print("Lowest Grade: "+str(exam))
elif project <= exam and project <= lab:
print("Lowest Grade: "+str(project))
else:
print("Lowest Grade: "+str(lab))
print("\nGrades below 70")
if exam < 70:
print("Exam: "+str(exam))
if project < 70:
print("Project: "+str(project))
if lab < 70:
print("Lab: "+str(lab))
print("\nAverage: "+str((exam+project+lab)/3))
if exam > 70 and project >70 and lab > 70:
print("All grades are above 70")
Step-by-step explanation:
The next three lines get input for exam, project and lab
exam = int(input("Exam: "))
project = int(input("Project: "))
lab = int(input("Lab: "))
This condition checks if exam is the highest grade
if exam >= project and exam >= lab:
If true, exam is printed as the highest grade
print("Highest Grade: "+str(exam))
This condition checks if project is the highest grade
elif project >= exam and project >= lab:
If true, project is printed as the highest grade
print("Highest Grade: "+str(project))
If otherwise
else:
lab is printed as the highest grade
print("Highest Grade: "+str(lab))
This condition checks if exam is the lowest grade
if exam <= project and exam <= lab:
If true, exam is printed as the lowest grade
print("Lowest Grade: "+str(exam))
This condition checks if project is the lowest grade
elif project <= exam and project <= lab:
If true, project is printed as the lowest grade
print("Lowest Grade: "+str(project))
If otherwise
else:
lab is printed as the lowest grade
print("Lowest Grade: "+str(lab))
This prints the header "Grades below 70"
print("\nGrades below 70")
This checks if exam is below 70.
if exam < 70:
If true, exam score is printed
print("Exam: "+str(exam))
This checks if project is below 70
if project < 70:
If true, project score is printed
print("Project: "+str(project))
This checks if lab is below 70
if lab < 70:
If true, lab score is printed
print("Lab: "+str(lab))
This calculates and prints the average
print("\nAverage: "+str((exam+project+lab)/3))
This checks if all three scores are above 70
if exam > 70 and project >70 and lab > 70:
If true, the the message that all are above 70, is printed
print("All grades are above 70")
On a United States map, 1 inch represents
240 miles. Using this scale, find the distance
represented by 3.5 inches.
AND
On a California map, 1 inch represents 150 miles. Using this scale, find the distance represented by 2.5 inches.
PLEASE ANSWER THESE I RLLY NEED HELP I DONT UNDERSTAND I WILL MARK YOU AS BRAINLIEST IF YOU ANSWRR CORRECTLY PLS AND TY
Answer:
Step-by-step explanation:
5. You are asked to write an equation of the line in slope-intercept form, so you need to determine the slope of the line and the y-intercept.
You're lucky. One of the points, (0,1), has an x-coordinate of 0, so you know that the y-intercept is 1.
Use the coordinates of the points to determine the slope of the line.
slope = (difference in y-coordinates)/(difference in x-coordinates) = (10-1)/(3-0) = 9/3 = 3
The slope-intercept equation of the line is y = 3x+1
:::::
7. When x = 0, function A = 0 and function B = 3, so function B has a greater initial value.
in math what does the word "of" mean
Answer:
Multiplication
Step-by-step explanation:
The word 'of', in Math, simply means multiplication. Generally, whenever you encounter this word, put a multiplication sign in your equation at that point. The word 'of' is used very simply in percentage problems, and usually you just have to replace 'of' with a multiplication sign to get rid of it!
Answer:
"In mathematics, “of” means ”a part of something”. Mostly, “of” means “to multiply”. In other context, mathematical expressions like “f of x”, where “of” means “depending on” or “involving” or “defined in terms of” “x”; it also refers to the act of applying the function to its argument".
Step-by-step explanation:
Yw. Plz mark brainliest
bonjour,pouvez vous m’aider ;)
a. calculer DC
b.en déduire que ED =1,60 m
c.une fillette mesure 1,10 m
elle passe a 1,40m derrière la camionnette.
Le conducteur peut-il la voir ? expliquer
Données :
(AE) // (BD)
AE = 1,50 m
BD = 1,10 m
EC = 6 cm
Answer:
je suis super nul en math desolee
HELPPP PLS ILL GIVE BRAINLESS DIE SOON
Answer:
C nnnnnnnnñnnnnn
Step-by-step explanation:
That is the answer C
Divide the product of 22 and 27 =
For the equation: D = -0.306c + 0.9979, what is the value of D when c= 1.67? Express answer with the correct number of sig figs?
Answer:
0.48688Step-by-step explanation:
Let's solve your equation step-by-step.
d=(−0.306)(1.67)+0.9979
Step 1: Simplify both sides of the equation.
d=(−0.306)(1.67)+0.9979
d=−0.51102+0.9979
d=(−0.51102+0.9979) (Combine Like Terms)
d=0.48688
3) A sample of 42 grams of an unknown substance has a half-life of 1,300 years.
(a) Write an equation to determine the amount of substance, S, left after t years.
(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?
Answer:
a) [tex]S(t) = 42(0.9995)^t[/tex]
b) It will take 10,692 years.
Step-by-step explanation:
Exponential function to determine the amount of substance:
An exponential function to determine the amout of substance after t years is given by:
[tex]A(t) = A(0)(1-r)^{t}[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
(a) Write an equation to determine the amount of substance, S, left after t years.
Half-life of 1300 years means that [tex]A(1300) = 0.5A(0)[/tex].
We use this to find r. So
[tex]A(t) = A(0)(1-r)^{t}[/tex]
[tex]0.5A(0) = A(0)(1-r)^{1300}[/tex]
[tex](1-r)^{1300} = 0.5[/tex]
[tex]\sqrt[1300]{(1-r)^{1300}} = \sqrt[1300]{0.5}[/tex]
[tex]1 - r = 0.9995[/tex]
[tex]r = 0.0005[/tex]
Sample of 42 grams means that [tex]A(0) = 42[/tex]. So
[tex]A(t) = A(0)(1-r)^{t}[/tex]
Replacing A by S, just for notation purposes
[tex]S(t) = 42(0.9995)^t[/tex]
(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?
This is t when [tex]S(t) = 0.2[/tex]. So
[tex]S(t) = 42(0.9995)^t[/tex]
[tex]0.2 = 42(0.9995)^t[/tex]
[tex](0.9995)^t = \frac{0.2}{42}[/tex]
[tex]\log{(0.9995)^t} = \log{\frac{0.2}{42}}[/tex]
[tex]t\log{0.9995} = \log{\frac{0.2}{42}}[/tex]
[tex]t = \frac{\log{\frac{0.2}{42}}}{\log{0.9995}}[/tex]
[tex]t = 10692[/tex]
It will take 10,692 years.
Describe or show two different ways to find the volume of a right rectangular prism with dimensions of 9 centimeters by 7 centimeters by 12 centimeters.
Answer:
9×7×12=756 is the dimensions
5m - 4z + 8m + 3 – 2z
Answer:
13m-6z+3
Step-by-step explanation:
5m-4z+8m+3-2z
5m+8m-4z-2z+3
13m-6z+3
6 family members share 1/4 of a of chocolate fudge what fraction of a pound does each family member get if they share equally .
A.24
B.1/10
C.1/24
D.10
Answer:
The answer is 1/10
Step-by-step explanation:
Linda Pearl purchased a new computer for $3,500 using the stores installment credit plan. if he is required to make a 30% down payment and finances the remaining amount what is the total amount that he will finance
Answer:
$2450 is the remaining amount
Step-by-step explanation:
i divided 3500 into 10th because its usually easier to do when you are working with percents, then so every 10 is $350. so he put down $1050 or the 30% because 350x3 is 1050 then you subtract 1050 from 3500 which then you get 2450.
Answer:
2450
Step-by-step explanation:
70% of 2450
15 PTS NEED ASAP HELP !!!
Answer:
use photo math it helps.......
Answer:
-1
Step-by-step explanation:
Let's simplify this equation one at a time using the order of operations:
|2 - 5| - (12÷4 - 1)^2
3 - (3 - 1)^2
3 - 2^2
3 - 4 = -1
Hope this helps!!
H(x)= -x^2+ 3x + 5 What is the average rate of change from x = 3 to x = 5
Answer:
f(x)=x^(2),[2,3]
-2x-h+3
Step-by-step explanation:
Darby bought a rare baseball card for $2,000. Three years later, the value of the card had increased 35% of its original value. By how much did the value of Darby’s baseball card increase?
$___
================================================
Work Shown:
35% = 35/100 = 0.35
35% of 2000 = 0.35*2000 = 700
Since the card increased by 700 dollars, this means the card is now worth 2000+700 = 2700 dollars.
WILL MARK BRAINLIEST ASAP HELP (a-b)^2*x-y(b-a)^2
Answer:a2x2 + a2y2 + 2axy - b2x2 + 2b2xy - b2y2
Step-by-step explanation:
i hope it helps
49/70 in its simplest form
Answer:
7/10
Step-by-step explanation:
Brainliest?!?!?!?!
Answer: 7/10
Step-by-step explanation: Divide 49 by 70 and you get 0.7. And 0.7 is just 7/10 in decimal form!
Draw a Triangle whose tangent is 2. Find the values of the other five trigonometric functions
Answer:
you gonna answer it
Step-by-step explanation:
Because that's yours book
C gives the cost, in dollars, of a cafeteria meal plan as a function of the number of meals purchased, n. The function is represented by the equation C(n) = 4 + 3n. Find C(10) and explain what your answer means in context to the situation
Answer:
Ill help if u still need
Step-by-step explanation:
HELP! Question down below
Answer:
B. Both are correct
Step-by-step explanation:
The graph correctly shows y=2x and the table is right.
Answer:
Your answer is.....
Both are correct
Mark it as brainlist answer . follow me for more answer.
Step-by-step explanation:
Write a whole number that round to 2000 if we are rounding to the nearest thousaand
Answer:2200
Step-by-step explanation:
Easy peesy lemon squezzy
Goran makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.
Answer:
P=H(8)
Step-by-step explanation:
P equals Pay.
H equals Hours.
Gorans pay is whatever his hours are times 8.
P=H(8)
I hope this helps!
What is 4•(5+3)=4•8=
Answer:
32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
I hope this helps, and have a great day! :)