The saved amount after selling the tank and by using the code is $21.24.
What is selling price?
The selling price is the amount in the form of extra charges which was decided by the shopkeepers for the different commodities. The cost spent by the shopkeeper for the purchase is the cost price. And for profit selling price should be more than the cost price.
According to the question, the given parameter is as written below:
The selling price of the Jellyfish tank is: $24.99
And the discount with special code is: 15 percent
The calculated money saved by using the special code is:
Discount Amount = (24.99 x 15)/100 = 3.7485
Saved money = $24.99 - $ 3.7485 = $ 21.2415 ≅ $ 21.24
Hence, the saved amount after selling the tank and by using the code is $21.24.
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What is the sequence of transformations that maps ABC to A’B’C’
Step 1:
A. Reflect across the line Y=X
B. Reflect across the x-axis
C. Rotate 90° clockwise about the origin.
D. Rotate 180° about the origin
Step 2:
A. Translate 6 units up
B. Translate 5 units up
C. Reflect across the line y=x
D. Reflect across the x-axis
The sequence of transformations that maps ∆ABC to ∆A′B′C′ is a reflection across the line y = x followed by a translation 10 units right and 4 units up.
What is meant by the sequence of transformations?A certain order of transformational occurrences is referred to as a transformational sequence. This indicates that more than one transformation is handled by a series of transformations, and the order in which they happen is important.
We are given that ΔA'B'C' exists formed after a sequence of transformations applied to ΔABC.
The first exists a reflection across a line and the second exists a translation.
The coordinates of point C exist (-4, -2). After reflection from the line y = x, the coordinates become (2, -4).
Also, the coordinates of point C' are (12, 0).
So, to get point C' from point C, we should add 10 units to the x-coordinate and 4 units to the y-coordinate.
The translation of 10 units right and 4 units up.
Therefore, the complete transformation is
The sequence of transformations that maps ∆ABC to ∆A′B′C′ is a reflection across the line y = x followed by a translation 10 units right and 4 units up.
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in 2018, a sample of 400 students, whose family income was between $70,000 and $80,000, had a verbal sat score of 511. the point estimate of the mean score for this group is:
Based on the sample of students and the family income, the point estimate of the mean score of the group is 511.
How to find the Point Estimate?The Point Estimate refers to a figure in a population that is meant to describe a value for the entire population. For instance, a point estimate can be the mean of scores for a sample of students.
Going by that logic, the point estimate for the sample of 400 students who had family income between $70,000 and $80,000 is 511. This Verbal SAT Score refers to the mean score that the group got in their Verbal SAT.
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What are some examples of perpendicular lines transversing in real life?
Answer: Railway Track Crossing
Step-by-step explanation: A railway track crossing is usually two “lines”(the railroad and the road) intersecting at a 90 degree angle.
Answer: The adjacent sides of a picture frame
Step-by-step explanation:
The best example would be the adjacent sides of a picture frame. Remember that adjacent means next to and sharing a vertex. The adjacent sides of a picture frame meet at a 90∘ angle and so these sides are perpendicular.
what is the value of the expression 3(a+1)-b when a=2 and b= -1
Answer:
it is ten 10
Step-by-step explanation:
Y=x^2+5x-3
Y-x=2
What is the solution to the linear-quadratic system of equations.
The solution to the linear-quadratic system of equations are: [tex]\begin{pmatrix}x=1,\:&y=3\\ x=-5,\:&y=-3\end{pmatrix}[/tex].
Quadratic Function
The Standard form for a quadratic equation is ax²+ bx + c=0, where: a, b and c are your respective coefficients. In the quadratic function, the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
To solve a quadratic function, you should find the discriminant: D=b²-4ac and then use this variable in the formula: [tex]x=\frac{-b\±\sqrt{\Delta} }{2a}[/tex].
Linear FunctionAn equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=4x+3. Where:
m= the slope. It can be calculated for Δy/Δx .
b= the constant term that represents the y-intercept.
The question asks the solution of the system the following equations
y=x²+5x-3 (1)
y=2+x (2)
Firstly, you should subtract equation 1 and 2, as result, you have
y-y= x²+5x-3 -(2+x)
y-y= x²+5x-3 -2 -x
0= x² +4x -5
After that for finding x, you should solve the equation x² +4x -5=0. Then,
D=b²-4ac
D= 4²-4*1*(-5)
D=16+20
d=36
Thus,
[tex]x=\frac{-b\±\sqrt{\Delta} }{2a}= \frac{-4\±\sqrt{36} }{2*1}= \frac{-4\±\ 6 }{2}[/tex]. Therefore
x1=(-4-6)/2= -10/2=-5
x2= (-4+6)/2 = 2/2=1
From equation 2 : y=2+x
For x= -5 , y= 2-5 =-3 For x= 1 , y=2+1=3Read more about solving systems equations here:
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Please explain!!
C=4 π
A=
Answer: 12.56unit
Step-by-step explanation:
Determine whether the equation Y=x^2 +13 represents a linear or non linear function and explain
Answer:
yés it is linear because
two variables that gives a straight line when plotted on a graph.
if it was correct tell me good or it was mistake tell me truth
Step-by-step explanation:
hope it was correct
Simplify.
√2-√800
O 20
O 40
O 80
O 400
Answer:
−19√2
Decimal Form:
−26.87005768…
Step-by-step explanation:
Reshma spends 1/4 of her pocket money on her comic books out of Rs 660. What is the amount she spent on her comic books and what amount is left with her?
Please give brief answer and explanation
contains 20 marks and will also mark as brainliest
The amount that Reshma spent on comic books is Rs. 165.
The amount that is left with her is Rs. 495.
How much did she spend on comic books?A fraction is a quantity that is not a whole number. A fraction consists of a numerator and a denominator. An example of a fraction is 1/4. 1 is the numerator and 4 is the denominator.
In order to determine the amount she spent on comics, multiply the fraction spent by the amount of her pocket money. Multiplication is the process used to determine the product of two or more numbers. The sign that represents multiplication is ×.
Money spent on comics = fraction of the money spent x pocket money
1/4 x 660 = Rs. 165
The amount left can be determined by subtracting the amount spent on comics by the value of her pocket money.
Amount left = pocket money - amount left
Rs 660 - Rs 165 = Rs 495
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What is 8=-6/5t? I need to have that solved for algebra.
Answer:
t=-20/3
Step-by-step explanation:
Let's solve your equation step-by-step.
8=−6/5t
Step 1: Flip the equation.
−6/5t=8
Step 2: Multiply both sides by 5/(-6).
(5/−6)*(−6/5t)=(5/−6)*(8)
t=−20/3
Answer:
t=−20/3
What does compounded hourly mean
Which of the following shows the numbers in order from least to greatest ? -2/3,-3/4,0.7,0
Answer: -3/4; -2/3; 0; 0.7
a bacteria doubles every day. Write an expression to show how many bacteria will be there after 10 days. Assume there were 175 bacteria at beginning
Answer:
175 x 20
Step-by-step explanation:
You said that bacteria doubles every day, so it's x2. Since it's the course over 10 days, it's 10 x 2 = 20. So the expression is 175 x 20.
Hector just acquired 200 acres of land for raising animals. He wants to have at least 50 horses and no more than 300 sheep. Horses require at least 2 acres each. A maximum of 6 sheep can share an acre. What are the inequalities for the system
Answer: yes because that is possible
Step-by-step explanation:and i took the quiz it 152
Given ^PRS = ^CFH, find the values of x, y, and z.
Answer:
x = 23, y = 7, z = 11
Step-by-step explanation:
Since triangle PRS is congruent to triangle CFH,
PS = CH = 39
2x - 7 = 39
2x = 46
x = 23
Angle PRS = Angle CFH = 90°
13y - 1 = 90
13y = 91
y = 7
Sum of angles in a triangle add up to 180°.
Angle CHF = 180 - 90 - 28 = 62°
6z - 4 = 62
6z = 66
z = 11
I don’t know how to rewrite this in graphing form.
We can write this equation as (x-3)² + (y-2)² =25 in graphing form.
What is graphing form ?The vertex form of a quadratic equation is y = a (x h) 2 + k as opposed to the regular quadratic form, which is an x 2 + b x + c = y. Graphs
f(x) = ax² + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph.
Given Data
Equation:
x² +y² -6x +9y - 12 = 0
Writing in graphing form,
(x² - 6x) + (y² + 4y) = 12
(x² - 6x +9-9) + (y² +4y+4-4) = 12
(x² -6x +9) + (y² +4y+4) = 25
(x-3)² + (y-2)² =25
Center (x, y) = (3,-2)
radius r = 5
We can write this equation as (x-3)² + (y-2)² =25 in graphing form.
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How do you write (x+1)^(2)-(2x+3)(x-4) in standard form?
Answer:
- x² + 7x + 13
Step-by-step explanation:
a parabola in standard form id expressed as
ax² + bx + c ( a≠ 0 )
given
(x + 1)² - (2x + 3)(x - 4) ← expand factors using FOIL
= x² + 2x + 1 - (2x² - 5x - 12) ← distribute parenthesis by - 1
= x² + 2x + 1 - 2x² + 5x + 12 ← collect like terms
= - x² + 7x + 13 ← in standard form
A bag has 10 blue, 12 green, 8 yellow, 11 pink, and 10 orange pieces of candy. What is the probability of reaching in the bag, without looking, and choosing either a blue or a yellow piece of candy? 33/51 18/51 8/51 10/51
Answer:
b. 18/51
Step-by-step explanation:
There is a total of 18 blue and yellow candies, so in a total of 51, there would be a chance of 18/51 that you draw a yellow or blue piece.
Answer:
18/51
Step-by-step explanation:
in the theory of learning, the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized. assume that the rate at which material is forgotten is proportional to the amount memorized. suppose m denotes the total amount of a subject to be memorized and a(t) is the amount memorized in time t > 0. determine a differential equation for the amount a(t) when forgetfulness is take
The differential equation of the amount of a subject memorized in time t > 0 is k. a(t) + da(t)/dt = km, where k is a constant representing the rate at which a subject is memorized.
Translate the given word problem into an algebraic expression.
Let m be the total amount of a subject to be memorized.
Let a(t) be the amount memorized in time t > 0.
Let c(t) be the amount that is left to be memorized in time t > 0.
Then,
c(t) = m - a(t)
From the problem, the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized. It means:
da(t)/dt = k. c(t), where k is a constant
da(t)/dt = k. (m - a(t))
k. a(t) + da(t)/dt = km
Hence, the differential equation is k. a(t) + da(t)/dt = km
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HELP PLEASEEEE!!!!!!!!
Answer:
a) ¹⁰√4
Step-by-step explanation:
(4 ⅖)¼ = 4 ^ 2/5 × 1/4 = 4^ 2/20 on simplifying further we get answer as a
Find the range of the allowable values based ln givem information. Round to the nearest tenth
0.3 less than 15 or 0.3 more than 15 would be the acceptable range of values.
Consequently, based on the provided data, the permitted value range is
between 14.7 and 15.3
How to calculate the range between the given no.s ?The difference between the lowest and highest values in a list or set is known as the range. Put all the numbers in order before determining the range. The lowest number should then be subtracted from the highest. The range of the list is provided in the response.
so we know:
To find the range of values that can are permitted to vary by 2% of 15, first,
find the value of 2% of 15:
2/100*15=30/100=0.3
The permitted range of values would be 0.3 less than 15 or 0.3 greater than 15.
hence the values will be:
15+0.3 or 15-0.3
range=14.7 to 15.3
Therefore the range of the allowable values according to the given data is
from 14.7 to 15.3
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Solve this problem for 100 points
The graph of each function in the piecewise function is added as an attachment
How to determine the plot of the piecewise function?The equation of the piecewise function is given as
f(n) = n/2 if n is even
3n + 1 if n is odd
In the above definition of the piecewise function, we have the following functions and the domains
f(n) = n/2 at a domain of even numbersf(n) = 3n + 1 at a domain of even numbersNote that:
The domain of the function is the set of input values of the graph
This in other words mean the domain of a function is the set of x values of the graph.
Next, we plot the graph of each function in the piecewise function in their respective domain
See attachment for the graph of each function in the piecewise function,
On the graph, the blue line represents f(n) = n/2 while the other line represents f(n) = 3n + 1
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The lowest point in California is Death Valley, at 282 ft
below sea level. The highest point in Texas is Guadaloupe
Mountain, at 8,749 ft above sea level. What is the
difference in elevation between these two points?
Given l\parallel m\parallel nl∥m∥n, find the value of x.
The value of x that makes line l, m and n parallel is 12.
How to find the angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, vertically opposite angles etc.
The value of x that makes the line l, m and n parallel can be calculated as follows:
124 + 5x - 4 = 180 (supplementary angles)
124 - 4 + 5x = 180
120 + 5x = 180
subtract 120 from both sides of the equation
120 - 120 + 5x = 180 - 120
5x = 60
divide both sides by 5
x = 60 / 5
x = 12
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For the function y = x² - 8x + 16, work out the coordinates of the y-
intercept.
10. The sales tax rate in a certain state is 4%.
Find the total price paid for a pair of shoes
that cost $35.
Answer:
$36.40
Step-by-step explanation:
.04x35
What’s the value of x
Using the rules of complementary angles we calculate that the value of x is 12° .
Pairs of complementary angles have measures which are one right angle.
The non-shared sides of two adjacent complementary angles form a right angle. Given that the sum of a triangle's internal angles is 180 degrees and the right angle alone accounts for 90 degrees, the two sharp angles of a right triangle are complimentary in Euclidean geometry.The Latin word complementum, from which the English word complement is derived, is related to the verb complere, which means "to full up." A right angle is created when an acute angle is "filled up" by its opposite.The complement of the angle describes the distinction between an angle and a straight angle.The two given angles are 29° and ( 5x + 1 )°.
There are a pair of complementary angles.
Therefore 29° + ( 5x + 1 )° = 90 °
or, 5x + 30° = 90 °
or, 5x = 60
or, x = 12°
Therefore using the rules of complementary angles we calculate the value of x is 12°.
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I NEED HELP. THIS IS DUE IN 30 MINUTES!!
For the given quadratic function, we have that:
The x-intercepts are x = 0 and x = -2.The y-intercept is of y = 0.The zeros are x = 0 and x = -2.f(-4) = -16.f(x) = 2 when x = -1.What are the intercepts of the function?The x-intercepts of the function are the same as the zeros, that is, the values of x for which f(x) = 0.
For this problem, the function is defined as follows:
f(x) = -2x² - 4x.
Hence the x-intercepts are given as follows:
-2x² - 4x = 0
2x² + 4x = 0
2x(x + 2) = 0.
Hence:
2x = 0 -> x = 0.x + 2 = 0 -> x = -2.What is f(-4)?The numeric value at x = -4 is calculated replacing each instance of x by -4, hence:
f(-4) = -2(-4)² - 4(-4) = -16.
When is f(x) = 2?We have to solve for x as follows:
-2x² - 4x = 2
2x² + 4x + 2 = 0
x² + 2x + 1 = 0
(x + 1)² = 0.
x = -1.
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After making the swim team, Farrah purchased a swimsuit, a swim cap, and a pair of goggles. The swimsuit was twice as much as the goggles, and the swim cap was half the price of the goggles. If the total cost of the items was $59.50, what was the price of the swimsuit?
By using linear equation, When the swimsuit was twice as much as the goggles and the swim cap was half the price of the goggles. If the total cost of the items was $59.50, then the price of the swimsuit is $34
The total cost of the items = $59.50
Consider the cost of goggles = 2x
The swimsuit was twice as much as the goggles
The cost of the swimsuit = 4x
Swim cap was half the price of the goggles
The cost of the swim cap = x
Then the price of the items = The cost of goggles + The cost of the swimsuit + The cost of the swim cap
Substitute the values in the equation
2x + 4x + x = 59.50
7x = 59.50
x = $8.5
The cost of the swimsuit = 4x
= 4×8.5
= $34
Hence, by using linear equation, when the swimsuit was twice as much as the goggles and the swim cap was half the price of the goggles. If the total cost of the items was $59.50, then the price of the swimsuit is $34
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The following equation shows what percent change?
f(x)=400(.85)^x
The percentage change of the given exponential function f(x) = 400(0.85)^(x) is; 15%
How to Interpret Exponential decay function?
The general form of an exponential decay function is:
y = a(1 – b)^(x)
where:
y is the final amount that remains after a period of time decayed
a is the initial amount
x is the time
Decay factor = (1 – b).
where;
b is the percent change written in decimal form.
We are given the exponential function as;
f(x) = 400(0.85)^(x)
Now, from the general form of an exponential decay function, we can say that;
1 - b = 0.85
b = 1 - 0.85
b = 0.15 or 15%
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