Answer:
A. 1/2 inch:10 miles
Step-by-step explanation:
1/2*4.5=2 1/4
10*4.5=45
Please Help ASAP - 10 Points!
What is the value of f(g) at f(21)?
Answer:
46.2
Step-by-step explanation:
if you plug the value given for g into g in the equation, it should look like
2.2(21) which you multiply the two together. and you get 46.2.
hope this helps you...sorry just seen your question now.
A manufacturer wants to construct a box whose base length is 4 times the base width. The material to build the top and bottom cost 8 dollars per ft.2 and sides 5 dollars per ft.2. If the box must have a volume of 72 ft.3, determine the dimensions that will minimize cost.
Answer:
width = 1.77845 ft
length = 7.1138 ft
height = 5.691 ft
total cost = $759.09
Step-by-step explanation:
volume = length x width x height
length = 4 width
base of the rectangle = 4 x 1 w = 4w²
72 (volume) = 4w²h
18 = w²h
f(c) = (2 x 4w² x $10) + (2 x wh x $5) + (2 x 4wh x $5)
f(c) = 80w² + 10wh + 40wh
f(c) = 80w² + 50wh
since we need only 1 variable (width), we have to substitute h:
h = 18/w²
f(c) = 80w² + 50w(18/w²) = 80w² + 900/w
f'(c) = 160w + 900/w²
0 = (160w³ + 900)/w²
0 = 160w³ + 900
0 = 20(8w³ + 45)
0 = 8w³ + 45
8w³ = -45
w³ = -45/8
w = ∛-45/8 = -1.77845 and 1.77845
since w cannot be negative, then it must be 1.77845
PLEASE ANSWER THIS IS REALLY IMPORTANT!!!
please hurry
what’s the slope of the line that passes through the points (-5,6) and (11,2)??
Answer:
-0.25Step-by-step explanation:11 - (-5) is 16 and 2 - 6 is -4 and -4 divided by 16 is -0.25
Answer:
-0.25Step-by-step explanation:
This is because when calculating the slope of given points, we must use this simple formula:
Slope= rise/run = Δy/Δx(simplified version)
The actual formula is
slope = (y₂ - y₁) / (x₂ - x₁)PROCESS:1. Find the difference of the x axis'
ANSWER: The difference of the x axis should be 11-(-5)= 16
2. Find the difference of the y axis'
ANSWER: The difference of the y axis should be 2-(6)= -4
3. Substitute these new values into the formula Δy/Δx
ANSWER: You should get -4/16 which is -0.25
4. Your answer will be -0.25
-27 - (-8)=
A -35
B -18
C 19
D 35
Answer:
The answer is -19
Step-by-step explanation:
-27 - (-8)=
-27+8
=-19
Answer:
C
Step-by-step explanation:
-27 - (-8) automatically becomes -27 + 8 because the two negatives cancel each other out. which then gives you -27 + 8 = 19.
7. Find the inverse of f(x) = 4x^3 + 8.
Answer:
The inverse of [tex]\displaystyle{f(x)=4x^3+8}[/tex] is determined to be [tex]{f^{-1}(x)=\sqrt[3]{\frac{1}{4}x-8}[/tex].
Step-by-step explanation:
In order to find the inverse of a function, we need to know a couple of rules about functions.
f(x) = yTo find the inverse, we flip the y-variable with the x-variables and solve for y.Following these rules, our function now becomes [tex]\displaystyle{x=4y^3+8}[/tex].
We now can simplify it further in order to find the value of x.
[tex]\displaystyle{x=4y^3+8}\\\\4y^3=x-8\\\\y^3=\frac{x}{4}-8\\\\\sqrt[3]{y^3}=\sqrt[3]{\frac{x}{4}-8} \\\\y = \sqrt[3]{\frac{1}{4}x-8}\\\\f^{-1}(x)= \sqrt[3]{\frac{1}{4}x-8}[/tex]
Therefore, the inverse of [tex]\displaystyle{f(x)=4x^3+8}[/tex] is [tex]\displaystyle{f^{-1}(x)=\sqrt[3]{\frac{1}{4}x-8}[/tex].
Answer:
[tex]\huge\boxed{f^{-1}(x) = \sqrt[3]{\frac{x-8}{4}}}[/tex]
Step-by-step explanation:
In order to find the inverse of a function, we need to follow a series of steps.
1. Write the function in the form [tex]y=ax^b+c[/tex]
2. Swap where the x and y values are
3. Solve for y
4. Convert into [tex]f^{-1}(x)[/tex] form
So first, we can write [tex]f(x)=4x^3+8[/tex] as [tex]y=4x^3+8[/tex].
Now we need to swap where the x and y variables are. This makes our equation [tex]x=4y^3+8[/tex].
To find the inverse, we now need to solve for y in this equation.
[tex]x=4y^3+8[/tex] Subtract 8 from both sides:[tex]x-8 = 4y^3[/tex] [tex]4y^3 = x-8[/tex] Divide both sides by 4:[tex]y^3 = \frac{x-8}{4}[/tex] Take the cube root of each side: [tex]y = \sqrt[3]{\frac{x-8}{4}}[/tex] Convert into [tex]f^{-1}(x)[/tex] form [tex]f^{-1}(x) = \sqrt[3]{\frac{x-8}{4}}[/tex]Therefore, the inverse of this function is [tex]f^{-1}(x) = \sqrt[3]{\frac{x-8}{4}}[/tex].
Hope this helped!
The length of a rectangle is 4 yd less than three times the width, and the area of the rectangle is 55 ya? Find the dimensions of the rectangle. Length: Width :
Answer:
length = 11 yard
width = 5 yard
Step-by-step explanation:
Area of a rectangle = L W
where A = 55 yard
L = 3W - 4
find: Length
width
solution:
A = L W
55 = (3W - 4) W
55 = 3W² - 4W
3W² - 4W - 55 = 0
use quadratic equation to solve for W:
W = - (-4) ± √(-4)² - 4(3)-55
2(3)
W = 5, W = -11/3
substitute W=5 to equation L = 3W - 4 to solve for L
L = 3W - 4
L = 3(5) - 4
L = 15 - 4
L = 11
therefore, the dimensions of a rectangle:
length = 11 yard
width = 5 yard
someone please help me with this problem much appreciated
Xochitl has saved $201.60. Yamka has saved LaTeX: \frac{2}{3}2 3 the amount Xochitl saved. Zack has saved 1.5 times the amount Yamka saved. How much have they saved all together?
Answer:
$537.60
Step-by-step explanation:
Xochitl has saved $201.60.
Yamka has saved 2/3 the amount Xochitl saved.
The amount Yamka has saved us calculated as:
2/3 × $201.60
= $134.40
Zack has saved 1.5 times the amount Yamka saved.
The amount Zack has saved is
1.5 × $134.40
= $201.60
How much have they saved all together?
This is calculated as:
$201.60 + $134.40 + $201.60
= $537.60
Can someone help me with this question thx
Answer:
D. 3
Step-by-step explanation:
3x−2y=−6
solve for y
-2y=-3x-6
y= 3/2x+3
y=mx+b
b= y intercept --> b = 3
A gallon of gas costs $2.73. Walter pays for 24 gallons of gas. He gives the clerk $80.00. How much change should Walter receive after paying for the gas?
He would pay $14.48
To get this answer you would need to multiply $2.73 by 24 and subtract by $80.
HELP PLZ FIRST TO ANSWE GETS BRAINLIEST
Anna works in sales and earns $100 each week plus $15 per sale. This week, she wants
to be paid at least $500. Which inequality can be used to find the number of sales she
needs to make?
O A. 100 - 15x < 500
OB. 100 + 15x < 500
O C. 100 - 15x 2 500
OD. 100 + 15x 2 500
Hey there!
I think the answer is B.
Please I need a answer fast
solution
X + k
X - 2k
=X+k-x-2k
=x-x+k-x-2k
=0-k
=-k
or,
1
k
c=(q+k/3)m for q Solve for q.
Answer:
(3 -mk)/3m=q
Step-by-step explanation:
Can some pls help me with one question I will brainlest
Answer:
whats the question
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
whwieiwisijwjdjejeusjsjs
The formula used to calculate simple interest is modeled by I=prt, where I=simple interest, p=principle, r=interest rate, and t=time, measured in years. Which of the following options represent(s) an alternative equivalent version of the simple interest formula? Select all that apply
Answer:
I know it may be a little late but
here is the answers
t=l/rp
p=l/rt
l=trp
Hope this helps c:
What is the equation in slope-intercept form for the graph shown? *
N
0
F. y + x = -3
G. y = 3x + 1
H. y - 3x = 1
I. y = - 3x + 1
Answer:
I
Step-by-step explanation:
The answer is y = -3x+1. If you need an explanation, just ask.
Which number line represents the solutions to |x - 2|= 6?
Answer:8 and -4
Step-by-step explanation:
[x-2]=6 ,x-2 =6 ,x=8 and x-2=-6 ,x=-4
how would I go about Simplify 2⁵ ÷ 2³
Answer:
2^8
Step-by-step explanation:
the cost of a family membership at a health club $58 per month plus a one time 129 start up fee . if a family spent 651 , how many months is their membership?
Answer:
9 months
Step-by-step explanation:
651=58x+129
-129 -129
522=58x divide 522 by 58
=9
Geppetto is a puppet maker. When the month started, Geppetto had 6 puppets ready to sell. On the ninth day, he had 69 puppets finished.
He made 7 puppets per day for nine days plus that 6
you have been saving money to buy a new pair of shoes. Three different stores are having sales on them. Which store has the best deal. Order from lowest price to the highest price.
Original Price $70
Take 10% off
Then take 10% off that price
Original Price $80
Take 15% off
Then take 10% off
Original Price $90
Take 10% off
Then take $25 of
Answer:
Store 1 has the best deal at $56.70. The order goes as shown below!
Step-by-step explanation:
Store 2 - $61.20
Store 3 - $60.75
Store 1 - $56.70
Hope this helped :)
Tylers brother earns a commission. He makes 3.4% of the amount he sells. Last week, he sold $760 worth of shoes. How much was his commission?
Answer:
Step-by-step explanation:
760*3.4%=25.84 in commission.
Answer:
25.84
Step-by-step explanation:
760*3.4%=25.84 in commission.
What is 12r + 5 + 3r - 19
A class has 17 girls and 4 boys. A teacher needs something from the front office, so selects a student at random to go. Before that student comes back, another teacher drops in and selects another student at random for another task. What is the probability that a girl was selected both times?
Answer:
I think it's like 81%
Step-by-step explanation:
17 /21=.809
What is the best of these four methods to estimate of the total cost of four items priced at $5.65, $7.80, $3.25, and $4.99?
Answer:
use a calculator that should help u so much
work out (-5)2
I will mark brainest but the answer has to be right
The 7th grade class took a survey on their faviorte ice cream. 58 people said they perfer vanilla, while 28 people said they pefer chocolate. Write a ratio comparing chocolate to vanilla. (Write it in the a:b form)
Answer:
58:28
Step-by-step explanation:
simplified its 29:14!
2.4 x 10^2 and 2.4 x 10^3 expressed in scientific notation?
Answer:
.024 and .0024
Step-by-step explanation:
move the decimal over the amount of spaces that is the exponent.
Ms. Cohen is buying supplies for her kindergarten class room. she can spend at most $30. she wants to buy boxes of crayons that cost $2 per box. she also buys a poster for $5. mrs.Cohen wants to know how many boxes of crayons she can buy.
Answer:
Ms. Cohen can buy 12 poxes of crayons.
Step-by-step explanation:
Ms. Cohen can buy 12 boxes of crayons with the rest of her money. In the question it states she only wants to buy 1 poster not more than one so if she buys 1 poster that's
30-5-25
and than you can just count up by 2 till you get the closest to 25
25-24=1$
24/2 = 12
Hope this helps.
The number of boxes of crayons that can be bought is needed.
The number of boxes that can be bought at most is 12.
Linear inequalitiesLet [tex]x[/tex] be the number of boxes of crayons
Total amount of money = $30
Cost of one box = $2
Cost of poster = $5
The linear inequality will be
[tex]2x+5\leq 30\\\Rightarrow x\leq\dfrac{30-5}{2}\\\Rightarrow x\leq 12.5[/tex]
Learn more about linear inequality:
https://brainly.com/question/18881247