Answer:
To find out which two students have the same median score, we need to find the median score for each student and compare them.
For James, the median score is 82 (the middle score when the scores are arranged in order).
For Rodney, the median score is 78 (the middle score when the scores are arranged in order).
For Traci, the median score is 82 (the middle score when the scores are arranged in order).
For Maddi, the median score is 67 (the middle score when the scores are arranged in order).
Therefore, the two students who have the same median score are James and Traci, as they both have a median score of 82.
Consider the equation: x2 18x +72 = 0
A) First, use the "completing the square" process to write this equation in the form (x + D)² =
and enter your results below.
x² 18x+72=0 is equivalent to:
=
Preview left side of eqn:
B) Solve your equation and enter your answers below as a list of numbers, separated with a com
where necessary.
Answer(s): 6,12
Using square process method, we can get the values of x to be 12 and 6.
Define square process?The formula a (x + m)2 + n = a (x + m)2 + n is the simplest to remember while learning how to complete the square technique.
The following formulas can be used to compute m and n in this situation: m = b/2a and n = c - (b2/4a).
From the question,
x² - 18x + 72= 0
⇒ x² - 18x = -72
Complete the square by adding the half of the square of the coefficient of x to both sides of the expression as shown:
⇒ x² - 18x + (18/2) ² = -72 + (18/2) ²
⇒ x² - 18x + 9² = -72 + 81
⇒ (x-9) ² = 9
⇒ x-9 = ± 3
So, values of x are:
x = 3 + 9
= 12
x = -3 + 9
= 6
Therefore, the values of x are 12 and 6.
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Solve g−17≥17 . Graph the solution.
The inequality expression g - 17 ≥ 17 when solved has a solution of g ≥ 34
How to solve the given inequalityGiven the inequality expression
g - 17 ≥ 17
To solve the inequality g - 17 ≥ 17, we need to isolate the variable g on one side of the inequality.
We can do this by adding 17 to both sides of the inequality:
g - 17 + 17 ≥ 17 + 17
Simplifying, we get:
g ≥ 34
So the solution to the inequality is all values of g that are greater than or equal to 34.
We can graph this solution on a number line by placing a closed circle at 34 and shading to the right, to indicate that any value greater than or equal to 34 satisfies the inequality.
The graph looks like this the attached figure
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what is 19/100,also written into decimals
19/100 into decimals is 0,19
To solve this, we must knowTo write a fraction based on 10/100/1000... you must move the decimal point to the left the number of times equivalent to the number of zeros in the base.
In this case, base 100 has two zeros. Then move two squares to the left.
[tex]\begin{array}{l}\bf 19\\\sf {0}{,}\!\overset{\overset{2}{\curvearrowleft}}{1}\!\overset{\overset{1}{\curvearrowleft}}{9}\\\\\bf \dfrac{19}{100}=0{,}19\end{array}[/tex]
Did you see how easy the conversion was under these circumstances?
If you have any question about this solution, you can ask me in the comments :)
Quadrilateral ABCD is shown.
-5
A
3
N
6
2
5-
3-
2-
1-
10
-1-
-24
-3-
-4-
-5-
A
B
(a) Work out the coordinates of C when ABCD is
Rotated 900 clockwise about 0
then
translated by
1 2
3
D
с
4
5
[2 marks]
Answer:
C'(-5, -2)
Step-by-step explanation:
You want the coordinates of point C(4, 1) after rotation 90° CW about the origin and translation by (-6, 2).
RotationThe transformation accomplished by rotation 90° clockwise is ...
(x, y) ⇒ (y, -x)
TranslationThe translation by (-6, 2) adds those values to the coordinates:
(x, y) ⇒ (x -6, y +2)
Both transformationsCombined, the transformations give you ...
(x, y) ⇒ (y -6, -x +2)
C(4, 1) ⇒ C'(1 -6, -4 +2) = C'(-5, -2)
The coordinates of C after the transformation(s) are (-5, -2).
Image shows 2 joined rectangular prisms. One is 10 in. in length, 6 in. in height, and 3 in. in width. The second is 4 in. in length, 3 in. in width, and 6 in. in height. Which expressions can be added to find the volume of the solid figure? A. 10 × 3 and 10 × 6 B. 10 × 3 × 6 and 4 × 3 × 6 C. 10 × 4 and 3 × 6 D. 10 × 3 × 3 and 10 × 3 × 6
The correct option to determine the value of volume of solid figure is: B. 10 × 3 × 6 and 4 × 3 × 6.
Explain about the rectangular prisms?One of the three-dimensional shapes that can be created with six pairs with parallel lines is a rectangular prism. Three-dimensional shapes in this category include cubes and cuboids. Prisms come in a variety of classifications based on the base.
Volume of rectangular prism = length * width * height
rectangular prism A:
length = 10 in.
Width = 3 in.
height = 6 in.
rectangular prism B:
length = 4 in.
Width = 3 in.
height = 6 in.
Thus,
volume of the solid = volume of rectangular prism A + volume of rectangular prism A
volume of the solid = 10*3*6 + 4*3*6
Thus, the correct option to determine the value of volume of the solid figure is: B. 10 × 3 × 6 and 4 × 3 × 6.
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Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
The correct options are: [tex]x^{2}[/tex] - 4 = 0 and 4[tex]x^{2}[/tex] = 16
What is Linear equation ?
A linear equation is an algebraic equation in which each term is either a constant or a product of a constant and a variable raised to the first power, also called a linear term.
A linear equation can be written in the form of:
y = mx + b
where y is the dependent variable, x is the independent variable, m is the slope or gradient of the line, and b is the y-intercept (the point where the line crosses the y-axis).
The equations that are true for x = -2 and x = 2 are:
[tex]x^{2}[/tex] - 4 = 0, which is true for x = -2 but not for x = 2
4[tex]x^{2}[/tex] = 16, which is true for x = 2 but not for x = -2
Therefore, the correct options are: [tex]x^{2}[/tex] - 4 = 0 and 4[tex]x^{2}[/tex] = 16
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A loan of $12,000 with interest at 14% compounded annually is to be amortized by equal payments at the end of each year for six years. What will the balance outstanding be after second year?
In how many ways can the letters A, B, C, D, E, F, G, H be arranged?
Answer:
40,320
Step-by-step explanation:
There are 8 letters in total:
So, in the first place we can put all 8 letters
In the 2nd place we can put 7 (all except the letter in the first place and so on...)
Let's multiply the options (the order is important):
8! or 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40,320 (8 places for letters in total)
what is a bisection
Answer:
this is the intersecting of lines
Answer:
gogel chrome. will answer faster than this app
What will be the reminder. When 362*461*2761will be divided by 6
Answer:
10
Step-by-step explanation:
362/6 = 60R2
461/6 = 76R5
2761/6 = 460R1
2x5x1 = 10
Help please !!
The volume of a fixed amount of a gas varies directly as the temperature 7 and inversely as the pressure P. Suppose that I'-70 cm³ when 7-420 kelvin
kg
kg
and P-18-
Find the temperature when
is 60 cm and P-7
X
Answer:
First question:
We can start by setting up the formula that relates the volume V, temperature T, and pressure P:
V = k * (T/P)
where k is a constant of proportionality. We can solve for k by plugging in the given values for V, T, and P:
70 = k * (420/18)
Simplifying the right side of the equation, we get:
70 = k * 23.3333
Dividing both sides by 23.3333, we get:
k = 3
Now we can use this value of k to find the temperature T when V is 60 cm and P is 7:
60 = 3 * (T/7)
Simplifying the equation, we get:
T/7 = 20
Multiplying both sides by 7, we get:
T = 140
Therefore, the temperature when V is 60 cm and P is 7 is 140 kelvin.
Second question: We can start by using the formula that relates the time (T), distance (D), and speed (S):
D = S * T
Since the distance between the two cities is constant, we can set the distances for the two cars to be equal:
35 * 9 = 21 * T
Simplifying the right side of the equation, we get:
315 = 21T
Dividing both sides by 21, we get:
T = 15
Therefore, the trip takes 15 hours for a car moving at 21 mph.
Hopefully this helps you! I'm sorry if it wrong. If you need more help, ask me! :]
This graph shows how the time required to complete an online shopping transaction is related to the number of products being purchased.
y
x
10
20
30
40
50
60
70
80
90
100
10
20
30
40
50
60
70
80
90
100
0
Time (seconds)
Products being purchased
Online shopping
What is the rate of change?
Write your answer as a decimal or integer.
seconds per product
Answer:
1 product
Step-by-step explanation:
Given the equation that shows how the time required to complete an online shopping transaction is related to the number of products being purchased as;
t = 24p + 27
t represents the time required to complete the transaction
p is the product purchased
If it takes 51 seconds to complete a transaction, to get the amount of product purchased, we will substitute t = 51 into the expression and find p as shown;
51 = 24p + 27
Substract 27 from both sides
51-27 = 24p + 27 - 27
24 = 24p
24p= 24
p = 24/24
p = 1
Hence only 1 product is being purchased
Factorise 3-6x I don’t know how to do it
Answer:
Step-by-step explanation:
-3(2x-1)
If sin 0 = -2/3which of the following are possible?
Is sin (θ) = - 2/ 3, the options that are possible include:
A) sec(θ) = -3/2 and tan(θ) = 2/√5C) cos(θ) = -(√5)/3 and tan(θ) = 2/√5How to find the possible expressions?Since sec(θ) is negative, cos(θ) is also negative (sec(θ) = 1/cos(θ)). This means θ is in the second or third quadrant, but since sin(θ) is negative, θ must be in the third quadrant. Now let's check if the given tan(θ) value is correct:
tan(θ) = sin(θ)/cos(θ)
Since we already know that cos(θ) is negative, we have cos(θ) = -(√5)/3.
Now calculate tan(θ):
tan(θ) = (-2/3) / (-(√5)/3) = 2/√5
The given values in option A are correct.
cos(θ) = -(√5)/3 and tan(θ) = 2/√5
These are the same as in option A. So, this option is also possible.
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a) Copy and complete the table below for the graph of y = 2x.
21=33 9 1 2
1-4-2 A
b) The lines y = x and y = 2x are shown on the axis below.
Write down one similarity and one difference between these lines.
f y-20 У=2
5-
4-
3-
1-
654-32-18 1 23 45 6*
1-2
--3・
-4・
-5
-6-
The ratio of men to women at the picnic is 4:5,if there are 819 people, how many men are there in the picnic
Answer:
819/5 is the correct answer that I think
simplify 1/2-1/x-y+2/(x-y)
Answer: x^2-xy-2x^2y+2xy^2+2x+2y over 2x(x - y)
Step-by-step explanation:
because im that guy
HELP ASAP PLEASE!!!!!!!!
The inverse function of f(x) = (x + 5)² on the domain x >= -5 is given as follows:
[tex]f^{-1}(x) = \sqrt{x} - 5[/tex]
The domain of the inverse function is given as follows:
x >= 0.
How to obtain the inverse function?The function for this problem is defined as follows:
f(x) = (x + 5)² on the domain x >= -5.
The range of the function is y >= 0, as the vertex is at (-5,0) and the function is increasing over it's domain, hence the domain of the inverse function, which is the range of the original function, is given as follows:
x >= 0.
To obtain the inverse function, wee exchange x and y in the definition of the function, and then isolate y, hence:
x = (y + 5)²
[tex]y + 5 = \sqrt{x}[/tex]
[tex]y = \sqrt{x} - 5[/tex]
[tex]f^{-1}(x) = \sqrt{x} - 5[/tex]
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Philip and Laura want to build a pool in their backyard. The length and width of the pool can be represented by the equation f(x)=(x-3)(5x+2) feet. What is the area of Philip and Laura’s pool? You must show your work and include your units.
Answer:
5x^2 - 19x + 15
Step-by-step explanation:
We must multiply the pool's length and width to determine its area. We can factor the equation f(x)=(x-3)(5x+2) to determine the length and width:
f(x) = (x-3)(5x+2)
f(x) = 5x^2 - 13x - 6
One of the parameters is the pool's length (x-3), while the other is its breadth (5x+2). We multiply these two elements to determine the area:
Area is length times width (x-3)
(5x+2)
By extending this statement using FOIL (First, Outer, Inner, Last), we may make it simpler:
Area is equal to 5x^2 - 13x - 6x + 15
Area: 5x^2 - 19x + 15
The pool at Philip and Laura's home is therefore 5x^2 - 19x + 15 square feet in size. We are unable to establish the precise square footage of the pool because we were not given a specific figure for x.
Kareem is considering buying a guitar priced at $179.99 He has $200 cash with him. He uses predict whether he has enough money.
Add 10% and 1%
The current HST rate is 13%
a) Round the price of the guitar to a convenient
amount:
b) What is 10% of the rounded price
c) What is 1% of the rounded price
d) How many 1%s do you need?
e) What is the estimated tax?
f) Add the estimated tax to the rounded price.
Does Kareem have enough money with him? YES OR NO
Using the concept of percentage, we can deduce that Kareem does not have enough money with him
Does Kareem have enough money with him?To solve the questions given, we need to apply the concept of percentage on some.
a) Rounding the price of the guitar to a convenient amount, we get $180.
b) 10% of the rounded price is: 0.1 x $180 = $18.
c) 1% of the rounded price is: 0.01 x $180 = $1.80.
d) To get the estimated tax, we need to multiply the rounded price by the HST rate: 0.13 x $180 = $23.40. Dividing this by $1.80, we get approximately 13.
e) The estimated tax is $23.40.
f) Adding the estimated tax to the rounded price, we get $180 + $23.40 = $203.40.
Since Kareem has $200 cash with him, he does not have enough money to buy the guitar at the estimated price of $203.40. Therefore, the answer is NO.
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complete the table based on the pattern you see
The figures to complete the table, based on the pattern, would be 6. 20, 7.00.
How to complete the table ?To complete the table, you need to find the common difference between the values in B which is :
= 4. 6 - 3. 8 = 5. 4 - 4. 6
= 0. 80 = 0. 80
The next two values would therefore be :
= 5. 4 + 0. 80 = 6. 20 + 0. 80
= 6. 20 = 7. 00
The complete table then is :
A - 5, 6, 7, 8, 9
B- 3.8, 4.6, 5.4, 6. 20, 7. 00
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The full question is:
Complete the table based on the pattern you see:
A- 5, 6, 7, 8, 9
B- 3.8, 4.6, 5.4, ____, ____,
Helppp ! , Use substitution to solve each system of equation and must show checks !!!
se the equations shown in the table below to answer the following question.
Equation A -2x -6y=36 -4r
Equation B 2(3x-3y)=36
Equation C 4r-6y+36=-2r
Which two of the three equations create a system of equations with no solution?
Explain how you determined your answer.
Respond in the space provided.
Find exact values for the following:
Answer:
-sqrt(2)
-sqrt(2)
1
1
Step-by-step explanation:
In a quadrilateral ABCD, AB is parallel to DC, and AD is parallel to BC. Find the perimeter of △COD if the diagonals of the quadrilateral intersect each other at point O and AC=40 in, BD=50 in, AB=25in.
Answer:
Step-by-step explanation:
In quadrilateral ABCD, we have:
AB is parallel to DC
AD is parallel to BC
AC = 40 in (given)
BD = 50 in (given)
AB = 25 in (given)
We can use the fact that opposite sides of a parallelogram are equal in length to find the length of CD:
CD = AB = 25 in
Next, we can use the fact that the diagonals of a quadrilateral bisect each other to find the length of AO and OC:
AO = BO = BD/2 = 50/2 = 25 in
OC = OD = AC/2 = 40/2 = 20 in
Now we can use the triangle inequality to find the perimeter of triangle COD:
CO + OD + CD > OC
CO + 20 + 25 > 20
CO + 45 > 20
CO > -25
CO + OC > CO
CO + 20 > 0
CO > -20
CO + CD > OD
CO + 25 > 20
CO > -5
Therefore, the possible range of values for CO is:
-20 < CO < -5
However, since lengths cannot be negative, we can take the absolute value of CO to get:
5 < CO < 20
So the perimeter of triangle COD is:
CO + OD + CD = CO + 20 + 25 = CO + 45
Substituting the possible range of values for CO, we get:
5 + 45 < CO + 45 < 20 + 45
50 < CO + 45 < 65
So the perimeter of triangle COD is between 50 in and 65 in.
Therefore, the perimeter of triangle COD is between 50 in and 65 in, but the exact value depends on the length of CO, which is between 5 in and 20 in.
A cylinder has a volume of 1 and one third in3 and a radius of one third in. What is the height of a cylinder? Approximate using pi equals 22 over 7.
42 over 6 inches
42 over 9 inches
42 over 11 inches
42 over 22 inches
The height of the cylinder is approximately 42/11 inches. The answer is option C.
What is the formula for the volume of the cylinder?
The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.
We are given that the volume of the cylinder is 1 and one-third in^3 and the radius is one-third in. Substituting these values into the formula, we get:
1 and one-third = 4/3
V = π(1/3)²h = 4/3
Simplifying the equation, we get:
h = (4/3) / (π(1/3)²) = (4/3) / (π/9) = (4/3) * (9/π) = 12/π
Approximating π as 22/7, we get:
h ≈ (12/π) ≈ (12/(22/7)) = 42/11 inches
Therefore, the height of the cylinder is approximately 42/11 inches. The answer is option C.
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julia needs to make 500 hamburgers for the a school function... hamburger patties are sold in packets of 12
how many packets of patties should she buy ?
Julia needs to buy 42 packets of patties to make 500 hamburgers for the school function
What is an equation?An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.
Hamburger patties are sold in packets of 12. Let x represent the number of packet of patties to be bought to make 500 hamburgers. Hence:
12x = 500
x = 500/12
x = 41.67
x≅ 42
Julia needs to buy 42 packets
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2074 Set B Q.No. 17 The compound interest on a certain sum at a certain rate is Rs. 204 in 2 years and simple interest at the same rate is Rs. 300 in 3 years. Find the sum and the rate of interest.
Answer:
Answer equals 2500 according to the question
Question 1
Find the unpaid balance, new interest, and purchasing power on the credit card after the minimum monthly payment is made. The interest charge for unpaid balances is 18% per year.
Credit Card Balance = $5000
Credit Limit = $5000
Minimum Payment = $125.00
Assuming that there are no other transactions or fees on the credit card, here's how to calculate the unpaid balance, new interest, and purchasing power on the credit card after the minimum monthly payment is made:
1.) Unpaid Balance: The unpaid balance is the amount of the credit card balance that remains after making the minimum monthly payment. In this case, the minimum monthly payment is $125, so the unpaid balance would be:
$5000 - $125 = $4875
2.) Interest Charge: The interest charge for unpaid balances is 18% per year. To calculate the monthly interest rate, divide the annual rate by 12:
18% / 12 = 1.5%
3.) To calculate the interest charge for the month, multiply the unpaid balance by the monthly interest rate:
$4875 x 1.5% = $73.13
So the new interest charge for the month is $73.13.
4.) Purchasing Power: Purchasing power refers to the amount of credit that is available on the credit card after making the minimum monthly payment and accounting for any interest charges. To calculate the purchasing power, subtract the unpaid balance and interest charge from the credit limit:
$5000 - $4875 - $73.13 = $51.87
So the purchasing power on the credit card after the minimum monthly payment is made is $51.87.
thier sum is -7 thier diffrence is 14
HELP
Using algebraic expressions, x = 7/2 and y = -21/2.
An algebraic expression might be made up of a single word or a group of words.
An algebraic expression can be any number, variable, or set of operations, whereas an equation is two different algebraic expressions connected together with an equal sign.
x = 7/2 and y = -21/2
Let x and y be those numbers.
In response to your query
x + y = -7
x - y =14
both equations added
2x = 7
or x = 7/2
the equivalent x value in either equation
y = -21/2
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Complete question -
What are the two numbers if their sum is −7 and their difference is 14?