Answer: b & e
Step-by-step explanation:
a and c appear congruent as do d and f
Solve for x.
4(1 - x) + 2 x = -3(x + 1)
Caroline made w batches of 12 cookies how many cookies did she make?
(12 cookies in each batch)
Answer:
144 i multiplied 12x12=144
Step-by-step explanation:
Find the volume of a cylinder with a radius of 4 in and a height that is 3 times the radius
Answer:
Volume of a cylinder: V = π * r² * h ,
Base surface area of a cylinder: A_b = 2 * π * r² ,
Lateral surface area of a cylinder: A_l = 2 * π * r * h ,
Total surface area of a cylinder: A = A_b + A_l ,
Step-by-step explanation:
So, when the radius is tripled, the volume will be 3 squared = 9 times than the previous one.
Answer:
602.88 in^3
Step-by-step explanation:
3.14 * 4^2 * 12
3.14 * 16 * 12
50.24 * 12
(50 * 12) + (0.24 * 12)
600 + 2.88
602.88 in^3
Ricky has 648 baseball cards he wants to put them in an album if each page of the album holds 12 cards how many pages are needed to hold all of his cards
54 pages are needed to hold all of his cards , if Ricky has 648 baseball cards he wants to put them in an album if each page of the album holds 12 cards
Ricky has 648 cards , and each page of the album holds 12 cards. Which means, if each page holds 12 cards; One page will hold 12 cards, the second page, another 12 cards and so on.
Hence, 2 pages will hold 12+12 cards which is 24 cards. 3 pages will hold, 12+12+12 = 36 cards
Now, to get how much pages will hold 648 cards, we divide 648 by 12
648/12= 54 pages
Hence, if Ricky has 648 baseball cards he wants to put them in an album if each page of the album holds 12 cards then 54 pages are needed to hold all of his cards
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List all of the transformations needed to transform the parent absolute value function into the function f(x) = 7|x - 9| - 11.
Three kinds of rigid transformations needed are horizontal translation, dilation and vertical translation to obtain f(x) = 7 · |x - 9| - 11.
What kind of rigid transformations are need to create a resulting absolute value function?
In this problem we must find what kind of rigid transformations are done on the parent absolute value function to obtain the function g(x) = 7 · |x - 9| - 11. Rigid transformations are transformations applied on functions such that their Euclidean distances are conserved. There are several forms of rigid transformations:
TranslationRotationDilationReflectionAfter a quick inspection, we find that the final function is the result of horizontal translation, dilation and vertical translation:
Horizontal translation
f'(x) = |x - 9|
Dilation
f''(x) = 7 · |x - 9|
Vertical translation
f(x) = 7 · |x - 9| - 11
Three kinds of rigid transformations needed are horizontal translation, dilation and vertical translation to obtain f(x) = 7 · |x - 9| - 11.
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If I would drop two eggs off of a building (one being at a higher position than the other) which one would drop faster and why?
Answer: Simple Answer.
The simplest way to obtain the minimal floor is to throw an egg from the first floor, then from the second and so on. This way when the egg is finally broken then we will know that this is the floor. This is a reliable algorithm, but in the worst-case scenario it would take 100 throws.
The important thing to notice is that it is the only reliable algorithm when you have only one egg. So you need to start using this algorithm when you break the first egg.
Step-by-step explanation: Intuitive answer.
This way, our first egg should be used to split the 100 floors range into smaller ranges as efficiently as possible. Thus, an intuitive and popular answer is to throw the first egg from 1/n-th of the floors to check. For instance 1/3. Then the algorithm will look like the following:
Throw the egg from 33rd floor. If it breaks, then we check the first 32 floors using the second egg.
Otherwise, we throw the egg from 33 + (67 * 1/3) = 55th floor. If it breaks, then we check floors 34 to 55 using the second egg.
…
Worst case scenario for 1/3 is max(33, 24, …) = 33. This way we might find a perfect n that optimizes the number of throws using some dynamic programming. This is a valuable solution that presents programming thinking, but it is not an optimal solution.
The optimal solution is when all arguments of this max function are equal. How do we achieve it? Looking from the end, the last D(n) is going to be 1, because we will finally get to the point where there is only the single floor for the first egg. Therefore D(n-1) should be equal to 2 because it has one less throw of the first egg.
We see then that the first egg should be thrown finally from the 99th floor, previously from 99–2=97, previously from 97–3=94, 90, 85, 79, 72, 64, 55, 45, 34, 22 and the 9th floor. This is an optimal solution! This way, we need 14 throws in the worst case scenario (the smallest difference is 13, but we had to make one extra throw on the 9th floor).
Simple equation to find the answer is following:
Where f is number of floors. This can be simplified to: min n*n+ divided by 2 greater than f
That is equal to: n=ceil 8f + 1 - 1, divided by 2
How do you find the slope of the line passing through each pair of points (-4, 19), (4, 9)
Answer:
[tex]m=\frac{7}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-4, 19)
Point (4, 9)
Step 2: Find slope m
Substitute: [tex]m=\frac{9+19}{4+4}[/tex]Add: [tex]m=\frac{28}{8}[/tex]Simplify: [tex]m=\frac{7}{2}[/tex]Harry earned d dollars mowing lawns. He put 20% of his earnings in the bank and paid back $50.00 to his father. He spent
one-fifth of the remaining money on a video game. Which expression represents the amount he spent on the video game?
(0.20 - 10) dollars
(0.20 - 50) dollars
(0.160 + 10) dollars
(0.160 - 10) dollars
Answer:
(0.16d - 10) dollars
Step-by-step explanation:
"Harry earned d dollars mowing lawns. He put 20% of his earnings in the bank and paid back $50.00 to his father."
Start with d dollars.
He put 20% of d dollars in the bank. 20% of d is the same as 0.2d.
Now he has d - 0.2d = 0.8d
He paid his father $50.
Now he has 0.8d - 50
"He spent one-fifth of the remaining money on a video game. Which expression represents the amount he spent on the video game?"
He spent 1/5 of 0.8d - 50 on a video game, so he spent on the video game:
1/5 * (0.8d - 50) = 0.16d - 10
Answer: 0.16d - 10 dollars
(You forgot the "d" in the answers."
(0.16d - 10) dollars
have an nice day
how do I do 3y - 6 = 2x
Simplify
I really need help on this. I'll mark brainliest but I don't know how to do that till it tells me to.
Answer:
Hope this helps.
Step-by-step explanation:
Consider the equation 2x + 2y=8.
Write an equivalent equation by multiplying the equation by 3.
Does the equation have the same solution set?
6x+ 2y = 24, yes it has the same solution se
2x + 6y =8, no it doesn't have the same solution set.
6x+ 6y = 24, no it doesn't have the same solution set.
6x + 6y = 24, yes it has the same solution set!
O
Answer:
A) 6x + 6y = 24, Yes, they have the same solution set
Step-by-step explanation:
Let's first start by multiplying the equation by 3:
(2*3)x + (2*3)y = 24
6x + 6y = 24
Now lets find the solution set for both:
6y = -6x + 24
y = -x +4
2y = -2x + 8
y = -x +4
Yes, they have the same solution set
What is the value of -5 x 6
Answer:
-30
Step-by-step explanation:
I used a calculator
graph the function: g(x)=3x^2+1
Using translation concepts, the graph of g(x) = 3x² + 1 is given at the end of the answer.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, we have that the parent function is:
f(x) = x².
The shifted function is:
g(x) = 3x² + 1.
The transformations are given as follows:
It was vertically compressed by a factor of 3, due to the multiplication by 3.It was shifted up 1 unit, due to the addition of 1.In the graph at the end of the answer, both functions are shown, with f(x) in red and g(x) in blue.
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exact decimals of 7 5/6
Answer:
7.83 repeating
Step-by-step explanation:
Cal’s
On a snow day, Hunter created two snowmen in his backyard. Snowman A
was built to a height of 51 inches and Snowman B was built to a height of 36
inches. The next day, the temperature increased and both snowmen began to
melt. At sunrise, Snowman A's height decrease by 6 inches per hour and
Snowman B's height decreased by 3 inches per hour. Let A represent the
height of Snowman At hours after sunrise and let B represent the height of
Snowman B t hours after sunrise. Determine the number of hours after sunrise both snowman will have equal height and determine how tall each snowman is when they are the same
height.
Using linear functions, it is found that both snowman's will have the same height of 21 inches after 5 hours.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, we have that:
The initial height is the intercept.The melting rate, as a negative, is the slope.Hence the functions are given as follows:
A(t) = 51 - 6t.B(t) = 36 - 3t.They will have the same height when:
A(t) = B(t)
51 - 6t = 36 - 3t
3t = 15
t = 5.
The height will be of:
B(3) = A(3) = 51 - 6(5) = 21 inches.
Both snowman's will have the same height of 21 inches after 5 hours.
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Y+3=7(x-2) write it in standard form
Answer:
The standard form of a linear equation is Ax + By = C
.
Step-by-step explanation:
Rewrite as a monomial in its standard form:
-(-0.5ac^2)^2 * (-2a^2c)^3
Jose is working two summer jobs making $10 per hour washing cars and nine dollars per hour walking dogs last week because I worked a total of 30 hours and earned a total of $122 write a system of equations that could be used to determine the out of the number of hours Jose worked washing cars this week and the number of hours he worked walking dogs this week.
Answer:
[tex]x+y=13\\10x+9y=122[/tex]
Jose worked on washing cars for 5 hours and on walking dogs for 8 hours.
Step-by-step explanation:
Given that:
Jose works for two summer jobs.
Earnings per hour by the first job i.e. by washing cars = $10
Earnings per hour by the second job i.e. by walking dogs = $9
Total number of hours worked = 13 hours (30 hours does not give us proper answer, it must be 13)
Total money earned = $122
To find:
System of equations to find the number of hours that Jose worked on each job?
Solution:
Let number of hours worked on washing cars = [tex]x[/tex] hours
Let number of hours worked on walking dogs = [tex]y[/tex] hours
As per the question statement, we can write the following system of equations:
[tex]x+y=13 ..... (1)\\10x+9y=122 ...... (2)[/tex]
Let us use the Elimination method to find the values of [tex]x[/tex] and [tex]y[/tex].
Multiplying the equation (1) by 10 and then subtracting the equation (2) from it:
[tex]y = 130 - 122 = 8\ hours[/tex]
Using the equation (1):
[tex]x = 5[/tex] hours
Therefore, Jose worked on washing cars for 8 hours and on walking dogs for 5 hours.
A college student mows lawns to cover his weekly expenses. The student charges $10 for each hour he spends .mowing lawns Identify the related and unknown quantities.
Which two unknown quantities in this situation are related?
A.
The amount of money the student earns
B.
The number of college students mowing lawns
C.
The number of hours the student spends mowing lawns
D.
The number of lawns the student mows
Answer:
A. and C.
Step-by-step explanation:
Joe made 14 out of 34 free throws. If Gabrielle shoots 28 free throws, what is the
minimum she would have to make to have a better free-throw percentage then Joe?
Answer:
if she makes all of them
Step-by-step explanation:
4 2/5 divided by 3 1/7 euals plz give mixed number answer ty
Math question help pls
Answer:
The fourth answer: A person's weight, w, on the moon is 1/6 her weight on Earth, e.
Step-by-step explanation:
The equation must be translated carefully into word form.
Her weight on Earth is represented by e.
"e x 1/6" into "1/6 her weight on Earth, e"
Her weight on the moon is represented by w.
"= w" into "A person's weight, w, on the moon is"
Another way to translate: 1/6 of a person's weight on Earth, e, is equal to her weight on the moon, w.
I hope this helped :)
Can someone please help with this I don’t know the answer and I really want to pass
Answer:
I think your answer would be C. between k and L
Answer:
I don't know for sure but i think it is:
C Between K and L
Step-by-step explanation:
a chemist is using 356 milliliters of a solution of acid and water. if 19.3% of the solution is acid, how many milliliters of acid are there? round your answer to the nearest tenth.
The solution contains 68.7 milliliters of acid, according to the data provided.
What is a acid in a solution?An acid is any substance that tastes sour in water, turns blue litmus paper red, combines with some metals to free hydrogen, reacts without bases to form salts, and facilitates chemical reactions (acid catalysis).
How do you recognize an acid?Count the hydrogens in each component both before and after the reaction to determine if it is an acid or a basic. If the amount of hydrogens has reduced, that material seems to be the acid (which donates hydrogen ions).
According to the given data:Solution = 356 milliliters
Acid = 19.3% of solution
The amount of acid in the solution is calculated as:
Acid = 19.3% × 356 milliliters
Evaluate
Acid = 68.708 milliliters
Acid = 68.7 milliliters
The solution contains 68.7 milliliters of acid, according to the data provided.
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]I need help with just B and c I got A
Year number Western Beach width (in feet) Dunes Beach width (in feet)
0 100 20
5 90 45
10 80 70
11 78 75
12 76 80
15 70 95
A. Describe the patterns shown by the erosion data measurements shown for each of the beaches in the table.
B. Between which years will the beaches have approximately the same width?
C. Assuming these rates remain constant, what can you do to get a better approximation of when the two beaches will have the same width?
Answer:
heres b i cant answer c cause i dont really understand it sorry Q-Q
Step-by-step explanation:
(b) Dunes Beach
In 15 yr, Dunes Beach builds up from 20 ft to 95 ft.
The rate of buildup is 75 ft/15 yr = 5 ft/yr.
I’m using the rest of my points please help! I’m so lost and my math teach never explained it and would only talk about politics
8EWHFSCKJYFCHBDCFAESSREDSEREDSEEEEEEEEJDUJEURYRHDNCX NX NNDND
Answer:
The translation 3 units down and 5 units to the left
Step-by-step explanation:
Graph of |x| is the one starting in the origin and the other one is the other picture
convert the binary number to a decimal number (show workings)
1011101
1011101₂ = 1 • 2⁶ + 1 • 2⁴ + 1 • 2³ + 1 • 2² + 1 • 2⁰
1011101₂ = 64 + 16 + 8 + 4 + 1
1011101₂ = 93₁₀
The pants cost $40 and Gina had a coupon for 15% off how much money did she save?
Answer:
she saved 6$ because 15% off 40=34 40-34=6
plss help me im on a timer 12 mins left plsssss
Answer:
$47.85
Step-by-step explanation:
you multiply.
Answer:
$47.85
Step-by-step explanation:
Calculator
b) If (a - b) = 4 and ab = 2, find the value of a² + b².
Answer:
20
Step-by-step explanation:
note that
(a - b)² = a² + b² - 2ab , thus
a² + b² - 2ab = (a - b)² ( add 2ab to both sides )
a² + b² = (a - b)² + 2ab = 4² + 2(2) = 16 + 4 = 20