Answer:
C
Step-by-step explanation:
The parabola faces downwards, so "a" will be negative. Using this information, we cancel out answer choice D and A. However in answer choice B, it uses y^2 instead of x^2 which is incorrect. Then, the only option you have left is C which is correct.
Moses is solving the problem below.
A box of spaghetti at the grocery store is purchased for $1.60 wholesale and is marked up by 60 percent. Then, the store marks down the item by 20 percent. A customer wants to buy three boxes of spaghetti. How much will the customer pay, including paying 8 percent sales tax? Round your answer to the nearest cent.
Look at the table below.
Steps
Moses’s work
Step 1
1 dollar and 60 cents (1.6) = 2 dollars and 56 cents
Step 2
2 dollars and 56 cents (0.80) = 2 dollars and 5 cents
Step 3
2 dollars and 5 cents (3) = 8 dollars and 20 cents
Step 4
8 dollars and 20 cents (1.08) = 8 dollars and 86 cents
In which step did Moses first make a mistake in his work?
Step 1
Step 2
Step 3
Step 4
please help will give brainliest!!!
Answer:
Step 3.
Step-by-step explanation:
step 1: 1 dollar and 60 cents (1.6) = 2 dollars and 56 cents is false
im so sorry if its wrong but im pretty sure this is good enough hope it helped-
Answer:
It would be step 3
Step-by-step explanation:
is the statement "The solution set of a linear system involving variables x1, x is a list of numbers ($1. Sn) that makes each equation in the system a true statement when the values s. 5, are substituted for x1 X, respectively true or false? Explain.
OA. True, because the list of variables (x1,xn) and the list of numbers (51, Sn) have a one-to-one correspondence.
OB. False, because the description applies to a single solution. The solution set consists of all possible solutions.
OC. False, because the list of numbers ($1. Sn) is the solution set for a linear system involving the variables X1 Xn-1-
OD. True, because the solution set of a linear system will have the same number of elements as the list of the variables in the system.
The given statement is False, because the description applies to a single solution. The solution set consists of all possible solutions. So, the correct option is B.
A system of linear equations is a set of two or more linear equations with two or more variables. The goal of solving a system of linear equations is to find the values of the variables that satisfy all of the equations in the system.
For example, consider the following system of linear equations:
2x + y = 5
x - y = 1
This system has two equations and two variables, x and y. To solve the system, we need to find the values of x and y that make both equations true.
One method for solving the system is to use elimination or substitution. Using the substitution method, we can solve for one variable in terms of the other and then substitute this expression into the other equation to obtain an equation in one variable. For example, we can solve the second equation for x:
x = y + 1
Substituting this expression into the first equation, we obtain:
2(y+1) + y = 5
Simplifying this equation, we get:
3y + 2 = 5
Solving for y, we get:
y = 1
Now we can substitute this value of y back into the expression we found for x:
x = y + 1 = 1 + 1 = 2
Therefore, the solution to the system of equations is x = 2, y = 1.
In general, a system of linear equations can have no solution, one solution, or infinitely many solutions. If the system has no solution, it means that the equations are inconsistent and there is no value of the variables that satisfies all the equations.
If the system has one solution, it means that the equations intersect at a single point, and there is a unique set of values of the variables that satisfies all the equations.
If the system has infinitely many solutions, it means that the equations represent the same line or plane, and there are infinitely many sets of values of the variables that satisfy all the equations.
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find a solution y = 3 x − 4
Answer: The equation y = 3x - 4 is a linear equation in slope-intercept form, where the slope (3) is the coefficient of x and the y-intercept (-4) is the constant term. To find a solution for this equation, we can substitute a specific value of x and solve for the corresponding value of y.
For example, if we let x = 2, we can substitute it into the equation:
y = 3(2) - 4 = 6
So the solution for x=2 is y=6
We can also graph this equation, it will be a straight line with slope 3 and y-intercept (-4)
Step-by-step explanation:
What is the volume of this shape in terms of π (PI)?
Answer:
Step-by-step explanation:
1/3 bh=96 pi/3=32 pi
Answer:
\(\displaystyle V = 32\pi \ in^3\)
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cone Formula: \(\displaystyle V = \frac{1}{3} \pi r^2h\)
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify
r = 4 in
h = 6 in
Step 2: Find Volume
Substitute in variables [Volume of a Cone Formula]: \(\displaystyle V = \frac{1}{3} \pi (4 \ in)^2(6 \ in)\)Evaluate exponents: \(\displaystyle V = \frac{1}{3} \pi (16 \ in^2)(6 \ in)\)Multiply: \(\displaystyle V = \frac{1}{3} \pi (96 \ in^3)\)Multiply: \(\displaystyle V = 32\pi \ in^3\)What the meaning of "f is order-preserving if x < y implies f(x) < f(y)"?
An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.
In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.
Order-Preserving Function:
A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.
Increasing Function:
If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).
Isomorphism:
A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:
a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).
b. f is onto (surjective): Every element in Q has a pre-image in P.
When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.
Automorphism:
An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.
These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.
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need help with this question about amplitude
Step-by-step explanation:
the amplitude is the height of the wave.
like with sound - the further away you are, the lower the volume of the sound (as the sound volume is the indicator of the amplitude of a sound wave, or the brightness of a light is the indicator of the amplitude of a light wave).
the same for any other type of wave (like the seismic wave of an earthquake).
so, the larger the distance, normally the smaller the amplitude.
The square root of the cube of 4 is equal to
3 or 4 or 16 or 8 or 2
Answer:
Step-by-step explanation: 1.587401052
Answer:
8
Step-by-step explanation:
this means
\( \sqrt{ {4}^{3} } \)
4³ = 4×4×4 = 64
the square root of 64 is 8.
Find the given term of each arithmetic sequence 5, 10, 15, 20, ...; 17th term
Answer:
85
Step-by-step explanation:
So if 5 is the 1st term and 5*1 = 5 then that means that 5*17 = 85 so 85 the answer.
house designer uses computer-aided drawings to illustrate new houses. She likes to show her drawings to clients on a large screen. She often uses the zoom-in function to enlarge the drawings so that clients can see certain features better.
Each click of the zoom-in button results in a 10 percent increase in the size of a drawing.
(a) On a certain drawing of a house, the width of the front door is 3 inches on screen, using the default settings. Make a table of values to show the width of the door on screen after each of the first four clicks of the zoom-in button. These values should be accurate to the thousandths place.
(b) Write an algebraic rule for the function that will give the display size of the door for any number of clicks.
c) To show clients a detail on the front door, she needs to zoom in so the door is approximately 3 feet wide on screen. How many clicks of the zoom-in button will be needed to make this enlargement? Explain how you got your answer.
d) Suppose one click of the zoom-out button results in a 10 percent decrease in the size of the drawing. How many clicks of the zoom-out button would it take to transform the display of the door from 3 feet wide back to a width of approximately 3 inches?
Explain how you got your answer.
(a) Clicks Width of Door (inches)
1 3.3
2 3.63
3 3.99
4 4.39
(b) The function is y = 3 (1.1)ˣ.
(c) It would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.
(d) It would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.
(a)
Clicks Width of Door (inches)
1 3.3
2 3.63
3 3.99
4 4.39
(b) Let x be the number of clicks and y be the width of the door on the screen. Then, we can write the algebraic rule as:
y = 3 (1.1)ˣ
(c) To make the door approximately 3 feet wide on screen, we need to convert 3 feet to inches, which is 36 inches. Then, we need to solve for x in the equation:
3 (1.1)ˣ = 36
Dividing both sides by 3, we get:
(1.1)ˣ = 12
Taking the logarithm of both sides (with base 1.1), we get:
x = log(12) / log(1.1) ≈ 14.7
So, it would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.
(d) To transform the display of the door from 3 feet wide back to a width of approximately 3 inches, we need to find the number of clicks of the zoom-out button that will result in a width of approximately 3 inches. We can use the same formula as before, but with the initial width of 36 inches (since we are zooming out):
36 (0.9)ˣ = 3
Dividing both sides by 36, we get:
(0.9)ˣ = 1/12
Taking the logarithm of both sides (with base 0.9), we get:
x = log(1/12) / log(0.9) ≈ 11.5
So, it would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.
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. Jason is 1.4 meters tall. His brother is
0.9 meter tall. Who is taller? Show each
height on the linear model. Explain.
Answer:
Jason is taller than his brother
Step-by-step explanation:
Jason is taller and he is 0.5 meters taller than his brother.
What is an linear model?A linear model is a mathematical model that describes a linear relationship between an independent variable and a dependent variable. This type of model is used in many fields, including statistics, economics, and machine learning, to explain relationships between variables, predict future outcomes, and analyze data.
Given that, Jason is 1.4 meters tall and his brother is 0.9 meter tall.
Here, difference in height = 1.4-0.9
= 0.5 meters
Therefore, Jason is taller and he is 0.5 meters taller than his brother.
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A family lives in a large tower apartment building, 10 floors high. Every day their son takes the elevator from the family’s apartment on the 10th floor to the ground floor and goes to school. When he returns in the afternoon, he uses the elevator to get to the fifth floor, and then uses the stairs for the remaining five floors. Why?
Answer:
Step-by-step explanation:
Considering that the question is a fun riddle, I will give a suitable fun answer.
The question says that the son goes to school, so we can assume that the boy is a young child. So, he is probably short.
So, while getting down the stairs, it is easy for him to press the button in the elevator to reach the ground floor as the button for ground floor is the on the bottom of the switch panel.
However, since he is short he cannot reach the button for the 10th floor after returning from school. He can only reach up to the button for the 5th floor. So, he travels up to the 5th floor by the elevator and from there he takes the stairs to reach the 10th floor.
put the sides in smallest to greatest! will give brainliest
Answer:
bc, ab, ac
Step-by-step explanation:
Select the fraction that is equivalent to one fourth.
Question 2 options:
two twelfths
one eighth
two eighths
two sixths
Answer: two eighths
Step-by-step explanation:
A bag contains 3 blue marbles, 1 green marble, and 4 orange marbles. A marble is pulled out of the bag at random. The probability that the marble is blue is____.
A. 3/5
B. 0
C. 5/8
D. 3/8
E. 3/4
Answer:
3\49857
Step-by-step explanation:
If 15% of the customers total is $98,880, then the sum total equals what
The sum total by the given data is equals to $658,880.
We are given that;
Percent=15%
Amount= $98,880
Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
To divide by a percentage, we can convert it to a decimal by moving the decimal point two places to the left. This gives us:
15% = 0.15
To divide by 0.15, we can multiply by its reciprocal, which is 1/0.15. This gives us:
$98,880 / 0.15 = $98,880 x 1/0.15
To multiply by 100, we can move the decimal point two places to the right. This gives us:
$98,880 x 1/0.15 x 100 = $658,880
Therefore, by the percentage the answer will be $658,880.
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Which sequence of transformations was applied to the parent tangent function to create the function m(x) = 2tan(3x+4)
The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.
To determine the sequence of transformations, let's break down the given function:
1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.
2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.
3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.
4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.
5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.
In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.
Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.
After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)
This example helps illustrate the effect of the transformations on the graph of the function.
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Hello random community i have a question to ask what is 7/8 - 3/4
Answer: 1/8
Step-by-step explanation:
First make the bottom half the same:
3/4*2/2=6/8
We don’t need to change the first portion since they have a common factor
7/8-6/8=1/8
what is an example of a dealer incentives
Answer:
a dealership may offer a cheaper price to a customer for a vehicle so it can meet a sales target and earn an incentive.
Step-by-step explanation:
Problem 3:
What is the missing number?
13
12
25
17
BrainsYoga.com
6
2
www.Brainsy
What is the missing number
The missing number is 14, all the circles equal to 30, therefore add 11 + 5 = 16
30-16 = 14
In each rule , copy the chart and fill in the missing parts
Answer:
7. 14
15. 30
28. 56
32. 64
18 36
x 2x
1/2y. y
2x. 4x
x+3 2x+9
Step-by-step explanation:
each out is double the in
A triangle has sides that measure 5 units, 7 units, and 8 units. Is this a right triangle
will mark brainliest asap.
answer choices
Yes, it is a right triangle because 72 + 52 = 82.
No, it is not a right triangle because 72 + 52
≠
82.
Yes, it is a right triangle because 72 + 52
≠
82.
No, it is not a right triangle because 72 + 52 = 82.
Answer:
Step-by-step explanation:
O=0O
KO[K]
Determine roots,3)Describe end BehaviorDraw Quich Sketch.of polymonialf(x)=-77" + 2X
Given the function:
\(f(x)=-7x^4+2x^3\)the sketch of the function will be as shown in the following picture
The roots of the function are the value of x which make f(x) = 0
As shown in the figure :
The roots are x = { 0 , 2/7 }
We can find the roots without graph by the factor the given function as follows:
\(\begin{gathered} -7x^4+2x^3=0 \\ x^3\cdot(-7x+2)=0 \\ \\ x^3=0\rightarrow x=0 \\ or\text{ } \\ -7x+2=0\rightarrow x=\frac{2}{7} \end{gathered}\)The end behavior:
\(\begin{gathered} x\rightarrow\infty,f(x)\rightarrow-\infty \\ x\rightarrow-\infty,f(x)\rightarrow-\infty \end{gathered}\)Suppose that the credit remaining on a phone card (in dollars) is a linear function of the total calling time (in minutes). When graphed, the
function gives a line with a slope of -0.13. See the figure below.
There is $28.51 in credit remaining on the card after 27 minutes of calls. How much credit will there be after 36 minutes of calls?
After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.
what is function ?Mathematics deals with numbers and their variants, equations and related structures, shapes and their locations, and locations where they might be found. A function is an association between inputs and outputs where each input results in a single, unique output. A domain and a codomain, or scope, are assigned to each function. Functions are typically denoted by the letter f. (x). The input is an x. On functions, one-to-one functions, many-to-one functions, within functions, and on functions are the four main categories of functions that are available.
given
Assume that the total calling time is a linear function of the credit left on a phone card (measured in dollars) (in minutes).
m(call time) + b = credit
The function produces a line with a slope of -0.14 when graphed.
After 43 minutes of calls, the card's balance is $26.02 left.
After 32 minutes of calls, there was 26.02 = -0.14(43) + b b = 26.02+6.02 b = 32.04 C(x) = -0.14x+32.04
credit?
C(32) = -0.14(32) + 32.04\sC(32) = $27.56
After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.
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NO LINKS!! URGENT HELP PLEASE!!!
9. Find the equation of the PARABOLA with a vertex at (-2, 6) and passing through the point (1, -3)
Answer:
y= -x²-4x+2
Step-by-step explanation:
write in vertex form
a(x-h)²+k
in our case h = -2 and k= 6
y=a(x+2)²+6
now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a
-3= a(1+2)²+6
-9=9a
a= -1
thus the formula is -(x+2)²+6
generally, teachers want things in standard form, so expand the exponent and simplify.
-(x²+4x+4)+6
y= -x²-4x+2
Answer:
\(y = -x^2 - 4x + 2\)
Step-by-step explanation:
The equation of a parabola in vertex form is:
\(y = a(x - h)^2 + k\)
where (h, k) is the vertex of the parabola.
In this case, the vertex is (-2, 6), so h = -2 and k = 6.
We also know that the parabola passes through the point (1, -3).
Plugging these values into the equation, we get:
\(-3 = a(1 - (-2))^2 + 6\)
\(-3 = a(3)^2 + 6\)
-9 = 9a
a = -1
Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:
\(y = -1(x + 2)^2 + 6\)
This equation can also be written as:
\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)
ava rents the snowboard for 4 days . Lucia rents the boots for 5 days . What is the total cost of the rentals ?
whatever how much the money is for one day on the object just multiply the money by the days it's rented out and add together the snowboard total and the boots total
Answer:
358
Step-by-step explanation:
help this question pls I mark pro brainlinest
Answer:
The third option
Explanation:
1: 9 cubes
-> Just counting the ones shown!
-> Not even anything, haha
2: 15 cubes
-> 5 * 3 = 15
-> Area of the bottom or top
3: 45 cubes
-> 15 * 3 = 45
-> Volume!
Volume is base times height (base = length times width) so the third option must be correct.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Pls help math will give brainlest
Answer:
Rectangular prism)1344
Rectangular pyramid)138.53
Cylinder)326.73
Cone)400.21
Triangular prism) I don't know the answer because I can't tell what sides the length is for
- Alto and Sheryl both worked hard over the summer. Together they earned a total of $475. Sheryl earned $25 more than Alto. (a) Write a system of equations for the situation. Use s for the amount Sheryl earned and a for the amount Alto earned. a (b) Graph the equations of the system on the graph provided on the next page. a. Note: Insert->Shape will allow you to add lines, draw dots, and otherwise insert shapes in both Microsoft Word and LibreOffice. The graph should be big enough for you to easily plot points using this method. b. If you do not want to graph using the drawing tools built into Microsoft Word or LibreOffice you may also print out, graph by hand, and scan the page. Please note it's perfectly okay to upload multiple files. (c) Use Elimination or Substitution to solve the system. (d) Use your graph to estimate how much each person earned, check your work with part C, and explain your results in complete sentences. Answer:
pls hurry its due tomorrow
Answer:
s = 250
a = 225
Step-by-step explanation:
Because they both earned a total of 475 dollars, the total amount of the two is 475. Because a represents Alto's earnings, and s represents Sheryl's earnings, we have \(a+s=475\)
Sheryl also earned 25 more dollars than Alto, so the value of s is 25 larger than a: \(s=a+25\)
By graphing, we can let s = y and a = x, so we have the following equations:
\(x + y=475\\y=x+25\)
Plugging this into Desmos, we have this: (look at screenshot uploaded)
We see that y, or Sheryl's amount is around 250, and x, or Alto's amount is in the middle of 200 and 250, roughly about 225.
Now, we can solve for a and s. Because the value of s is equal to a + 25, we can represent s as a + 25 in the first equation: \(a + (a + 25) = 475\). Combining like terms, we have \(2a+25=475\), and \(2a = 450\). Dividing, we have \(a = 225\), and since s is 25 more than 225, we have \(s = 250\)
The amount we estimated was around what we solved for. We found that the solution, or the value where both cases are true is around 250 and 225 for Sheryl and Alto's earnings.
Henry set a model rocket from the roof of a building. The height of the rocket as a function of Time is shown in the graph. How many seconds was the rocket in the air.
The rocket was in the air for approximately 8 seconds.
1. Look at the graph provided to determine the height of the rocket as a function of time.
2. Identify the point where the rocket takes off from the roof of the building. This is where the height is zero.
3. Follow the curve on the graph until it intersects the x-axis again. This point represents the time when the rocket lands back on the ground.
4. Measure the horizontal distance between the takeoff and landing points on the x-axis.
5. Each unit on the x-axis represents a certain time interval. Determine the value of each unit on the x-axis based on the graph's scale or information provided.
6. Multiply the number of units between the takeoff and landing points by the value of each unit to find the total time the rocket was in the air.
7. Convert the units, if necessary, to ensure the final answer is given in seconds.
In this case, based on the graph, the rocket took off at t=0 seconds and landed at approximately t=8 seconds. Therefore, the rocket was in the air for approximately 8 seconds.
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Determine which equation is parallel to line JK and which is perpendicular to line JK.
Answer:
5x + 3y = 13 parallel.
6x - 10y = 7 perpendicular.
Step-by-step explanation:Two lines with slopes and are parallel when and are perpendicular when
Now determine the slope of all the lines
The line jk passes through the points
(-5,5) and (1,-5) so its slope is
To determine the slope of the lines in the blue rectangles, isolate y from each one and the coefficient of x is the slope
5x-3y = 8 ------> y = (5/3)x + 8/3 ------> slope 5/3
Neither parallel nor perpendicular.
6x+10y = 11 ------> y = (-6/10)x + 11/10 = (-3/5)x + 11/10 ------> slope -3/5
Neither parallel nor perpendicular.
5x + 3y = 13 ------> y = (-5/3)x + 13/3 ------> slope -5/3
This line is parallel
6x - 10y = 7 ------> y = (6/10)x - 7/10 = (3/5)x -7/10 ------> slope 3/5
Since (-5/3)(3/5) = -1 this line is perpendicular.