The equation which is used to model this function is y = 25x.
What is equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
Given:
x=2 , y=50
x=4, y=100
As, corresponding to x =2 , y =50
For x=1 , y=25
Hence, the equation which is used to model this function is y = 25x.
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Find the value of x ??
A. 31
B. 5
C. 11
D. 25
Answer: 11
Step-by-step explanation:
By the trapezoid midsegment theorem, x = (9+13)/2 = 11
-16p+37=49-21p what is the answer
Answer:
p = 12/5Step-by-step explanation:
-16p+37=49-21p what is the answer?
-16p + 37 = 49 - 21p
-16p + 21p = 49 - 37
5p = 12p =
p = 12/5
A friend of yours, a senior, took the Graduate Record Exam in September and scored in the 99th percentile. In February, your friend took the same exam over again. This time your friend scored in the 90th percentile. As a research methods student, you told your friend that his/her lowered score was most likely due to:
His/her lowered score was most likely due to statistical regression.
How to determine the reason?The missing options in the question are:
A. compensation rivalry B. Demoralization C. Differential selection
D. Testing E. Statistical regression
From the question, we have:
September = 99th percentileFebruary = 90th percentileA change (whether higher or lower) in the score is caused by statistical regression.
This is so because several variables could attribute to the change in the score.
The relationship between these variables is referred to as statistical regression
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please help
Find the sum or type
“impossible”
Answer:
finished this question is from matric it is very easy
What is the original price of an item that is being charged a tax of 20%, and
the total price is $144?
Points 1
Mahek owns a holiday tree farm. There are currently 800 trees on the property. Each year 20% of the trees are harvested and sold, and 200 seedlings are planted. Write a recursive definition for the number of trees on the farm at the beginning of the nth year.
1. a1 = 800, an = 0.20an-1 +200
2. a1 = 200, an = 0.80an-1 + 800
3. a1 = 800, an = 0.80an-1 + 200
4. a1= 0.20, an=0200an-1
The equation of the sequence will be [tex]\rm a_n = 0.8 \times a_{n -1} +200[/tex],
where a₁ = 800. Then the correct option is C.
What is the geometric sequences?Let a₁ be the first term and r be the common ratio. Then the geometric sequences will be
[tex]\rm a_n = a_{n -1} \cdot r[/tex]
Mahek owns a holiday tree farm.
There are currently 800 trees on the property.
Each year, 20% of the trees are harvested and sold, and 200 seedlings are planted.
Then the equation of the sequence will be
[tex]\rm a_n = 0.8 \times a_{n -1} +200[/tex]
Where a₁ = 800.
Then the correct option is C.
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Answer:
3. a1 = 800, an = 0.80an-1 + 200
Step-by-step explanation:
Ryan fills a bath with
22.6 litres of hot water
and 18.7 litres of cold.
He spills 2.5 litres
getting in.
How much water is in
the bath now?
Answer:
38.8 litres
Step-by-step explanation:
22.6 + 18.7 = 41.3
41.3 - 2.5 = 38.8
38.8 litres
Answer:
38.8 liters.
Step-by-step explanation:
Word problems with addition and subtraction:
To find the quantity of water inside the bath tub, add the quantity of hot water and cold water. Then from this subtract the water that is spilled.
Quantity of water in the bathtub = 22.6 + 18.7 - 2.5
= 41.3 - 2.5
= 38.8 liters
Which of the following is equivalent to the sum of expressions 2a^2 + 2 and a – 2
A = 2a^2+a
B = a^3-2
C = 2a^2
D = a^2-2
Answer:
A
Step-by-step explanation:
2a² + 2 + a - 2
+2 and -2 cancel
a² and a aren't like terms
final = 2a² + a
Write the equation of the line in slope-intercept form Slope=5/3 Y-Intercept=4
Answer:
y=5/3x+4
Step-by-step explanation:
Slope intercept formula: y=mx+b
m=slope
b=Y-Intercept
Answer:
[tex]\sf y=\dfrac{5}{3}x+4[/tex]
Step-by-step explanation:
Given:
[tex]\textsf{slope of $\dfrac{5}{3}$, and a y-intercept of $4$}[/tex]
⇒ Slope-Intercept Form: y = mx + b
where:
m is the slopeb is the y-intercept (when x = 0)Substitute the given values:
[tex]\sf\\ \implies y=mx+b\\\\\implies y=\dfrac{5}{3}x+4[/tex]
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Mila is designing a necklace with 12 platinum spherical beads that each have a radius of 7 millimeters. she has 350 grams of platinum to use. if pure platinum has a mass of 21.5 grams per cubic centimeter, does she have enough to make the 12 spherical beads? explain how you found your answer.
Volume is a three-dimensional scalar quantity. Mila only has 350 grams of platinum, therefore, she does not have enough platinum to make a necklace.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of 12 bead = 12 × (4/3) × π × R³
= 12 × (4/3) × π × (0.7)³
= 17.241 cm³
Given the density of platinum as 21.5 grams per cubic centimeter, therefore,
Mass = density × Volume = 370.682
Since Mila only has 350 grams of platinum, therefore, she does not have enough platinum to make a necklace.
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Find x, y, and z. Help me please :)
Answer:
x = 58°
z = 60°
y = 29( 58°)
Step-by-step explanation:
The arrows on the lines are trying to tell you that these lines are parallel to each other, whenever you see parallel lines think of *FUN* method
2y = 58° (alternate angles)
y = 29
x = 58° (alternate angles)
62° + 58° + z = 180° (sum of angles on a triangle)
120° + z = 180°
z = 60°
PLS HELP
What is the factored form for the quadratic function below?
y = 7x² - 2x - 5
Oy
(7x+5)(x - 1)
Oy
(7x - 5)(x - 1)
Oy (7x + 1)(x + 5)
Oy (7x+5)(x + 1)
Answer: y = (x - 1) (7x + 5)
Step-by-step explanation:
y = 7x² - 2x - 5 Use the slip and slide method.
y = x² - 2x - 35 Factor
y = (x - 7) (x + 5) Slide 7 back in, divide -7 by 7 to get -1. Slip 7 into (x + 5).
y = (x - 1) (7x + 5)
The factorized form of the quadratic equation is y = (7x+5)(x - 1).
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
To factor the quadratic function, we need to find two binomials whose product is equal to the given quadratic. Here's one way to factor y = 7x² - 2x - 5:
First, we need to find two numbers whose product is 7(-5) = -35 and whose sum is -2. These numbers are -7 and 5, since (-7)(5) = -35 and (-7) + 5 = -2.
Next, we use these two numbers to split the middle term of the quadratic:
y = 7x² - 7x + 5x - 5
Notice that we have a common factor of 7x in the first two terms and a common factor of 5 in the last two terms. We can factor these out to get:
y = 7x(x - 1) + 5(x - 1)
Now, we have a common factor of (x - 1), which we can factor out to get the factored form:
y = (7x + 5)(x - 1)
Therefore, the correct answer is: y = (7x+5)(x - 1).
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What are the solutions of the equation (x 2)2 – 2(x 2) – 15 = 0? use u substitution to solve.
The solution of the equation is x=3 or x=-5.
Given that the equation is (x+2)²-2(x-+2)-15=0 and use u substitution method to solve.
Let's assume that the (x+2)=u.
The given equation is rewritten as u²-2u-15=0.
Factorize the quadratic equation by adding or subtracting two number that gives the sum of -2u and product 15u² as
u²-5u+3u-15=0
u(u-5)+3(u-5)=0
Taking out (u-5) as common and get
(u-5)(u+3)=0
Compare each equation with 0 and get
u-5=0 or u+3=0
u=5 or u=-3
Performing back substitution by substituting the values of u in x+2
when u=5 then x is
x+2=5
x=3
And when u=-3 then x is
x+2=-3
x=-5
Hence, the solutions of the (x+2)²-2(x-+2)-15=0 is x=3 and x=-5.
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Answer:X=-5 and X=3
Step-by-step explanation:
A single die is rolled. How many ways can you roll a number that is prime,
followed by a number less than 6? (Remember that 1 is not a prime number.)
Answer:
3 different ways
Step-by-step explanation:
2, 3, and 5 are all prime numbers under 6
Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
Answer:
Step-by-step explanation:
f(x) = x^2 – 5x + 12
The value of f(–10) = 82? NO
f(-10) = (-10)^2 – 5(-10) + 12
f(-10) = 100 + 50 + 12
f(-10) = 162
NO
The graph of the function is a parabola. YES
See attached graph.
YES
The graph of the function opens down. NO
See attached graph.
The graph contains the point (20, –8). NO
See graph
----
Plus we can use x=20 in the function and see if it returns -8:
f(x)=x^2-5x+12
f(20)=(20)^2-5*(20)+12
f(20) = 400 - 100 + 12
f(20) = 312 It does not result in -8
The graph contains the point (0,0). NO
See graph
In a group of 36 pupils, 6 play the flute only.
6 play the piano only.
13 play neither instrument.
A student is selected at random.
What is the probability the student plays both instruments?
Help please
y=-6x-8
y=-6x+8
Solve the system of linear equations
Answer: No solution
Step-by-step explanation:
Both of these equations have the same number as to coefficient of x (-6) but have a different constant (-8 and 8). This means that there are no solutions to this system of equations.
Solve:
x-1
——— < 0
x²-4
Answer: x≠±2, x<±2, x>1, x<1, and x>±2
explanation:
for this equation to be true
Case 1
either (x-1) should be a negative while (x²-4) should be positive
which gives:-
x-1<0
so, x<1
also, x²-4>0
so, x²>4
⇒x>±2
Case 2:-
x-1>0 and x²-4<0
which gives
x>1 and x²-4<0
so, x>1 or x<±2
Case 3:-
either way, the denominator can't be 0
so, x²-4≠0
which gives,
x≠±2
compiling all, we have,
x≠±2, x<±2, x>1, x<1, and x>±2
These solutions can be pointed to as points on a number line and the behavior shows their discontinuity.
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what are the roots of the polynomial below. x^3-3x^2+2
Polynomial is an expression that consists of indeterminates(variable) and coefficients. The roots of the polynomial are 1, 2.7321, and -0.7321.
What are polynomials?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
The roots of the polynomial are:
x³ - 3x² + 2
If we divide the polynomial by (x-1), then
(x³ - 3x² + 2)/(x-1) = x² - 2x - 2
now, factorize the given polynomial,
x² - 2x - 2
x = 1 ± √3
x = 1, 2.7321, -0.7321
Hence, the roots of the polynomial are 1, 2.7321, and -0.7321.
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The vertical walls of two buildings are 50 m and 30 m tall. A vertical flagpole [XY] stands between the buildings such that B, Y, and C are collinear, and A, Y, and D are collinear. The vertical walls of two buildings are 50 m and 30 m tall . A vertical flagpole [ XY ] stands between the buildings such that B , Y , and C are collinear , and A , Y , and D are collinear . find the height of the flagpole
Answer:
which class of this exam
Ramon has $80.00 saved from mowing yards and raking leaves. If half of his money came from mowing yards, how much money came from raking leaves?
Answer:
$40
Step-by-step explanation:
Ramon has $80 saved
half of it came from mowing yard
therefore 80/2 = 40
the rest from raking leaves
80-40=40
is n÷12=36,n=108 true or false
Answer:
False
Step-by-step explanation:
n÷12=36
n=36*12
hence n=432
hope it helps you and give me a brainliest
Answer:
(redacted answer - it was wrong - moderator please delete)
false
What makes the set of intergers different from the set of whole numbers
Answer:
integers include negative numbers, whole numbers are only 0 and positive numbers.
Step-by-step explanation:
whole numbers are very similar to integers as they do not have a decimal place although whole numbers are from 0, 1, 2, 3.... and so on whereas integers include negative numbers as well. So all whole numbers are integers but not all integers are whole numbers.
Find the sum :
3/8 + 22.5
Answer:
183/8 or 22.875
Step-by-step explanation:
Take 22.5 and put it over 1 so 22.5/1
And then multiply by 8 to get a common denominator (180/8) then add the 3/8 and you get 183/8 or 22.875
A hiker in Africa discovers a skull that contains 72% of its original amount of C- 14. A hiker in Africa discovers a skull that contains 72 % of its original amount of C 14 .
If the 72% of its original amount of C-14. Then the number of years will be 3285.
The complete question is attached below.
What is an exponent?Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as
y = a(b)ˣ
A hiker in Africa discovers a skull that contains 72% of its original amount of C- 14.
Then the function is given below.
[tex]\rm N= N_0 \ e^{-kt}[/tex]
Where, N₀ is the initial amount of C - 14, t is the number of the years, k is constant that is 0.0001, and N be the amount of the C - 14 at t years.
[tex]\rm N= N_0 \ e^{-0.0001 \times t}[/tex]
We have N = 0.72N₀, the time will be
[tex]\rm 0.72N_0 = N_0 \ e^{-0.0001 \times t}\\\\\rm 0.72 \ \ \ \ = \ e^{-0.0001 \times t}[/tex]
Take log on both side, then we have
ln 0.72 = -0.001 × t × ln e
-0.33 = -0.001 × t
t = 3285 years
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Please help me!! matrices question! ASAP
what is the slope of the line that is perpendicular to the line 3y=-5x+21
a -5/3
b -3/5
c- 3/5
d- 5/3
Step-by-step explanation:
the slope is the factor of x in an equation
y = ax + b
we have here
3y = -5x + 21
to get to the general format above we need to divide everything by 3 :
y = -5/3 x + 7
so, we see, the slope is -5/3.
the perpendicular (angle of 90°) slope is the original slope turned upside-down and with flipped sign :
3/5
so, I guess the correct answer option is c.
but it is not clear what you wrote there, as there is a "-" sign somehow in all 4 answers.
A pair of equations is shown below.
Answer: (2,5)
Step-by-step explanation: Step 1: Identify key concepts for Part A
y=7x-9
Slope: 7
y int. : -9
y=3x-1
Slope: 3
y int. : -1
Since you know this information, you can plot the points and graph it.
Part B
To solve a system of equations, you need to identify the point whereby the two graphs intersect, and since you're solving it graphically, just find the point of intersection. You should get an answer of: (2,5)
(x=2) and (y=5)
The time spent dancing (minutes) and the amount of calories burned can be modeled by the equation c = 5.5t. Which table of values matches the equation and includes only viable solutions?
The table that matches the equation is:
Time Calories
-20 -110
-10 -55
-15 - 82.50
-5 -27.50
What is the correct table?The correct table would contain values that are multiples of 5.5t
For example:
Total calories burned at 20 seconds : 5.5 x 20 = 110
Total calories burned at 10 seconds : 5.5 x 10 = 55
Total calories burned at 15 seconds : 5.5 x 15 = 82.50
Total calories burned at 5 seconds : 5.5 x 5 = 27.50
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Answer:
The 2nd one
Step-by-step explanation:
its the right one
There are only red sweets and yellow sweets in a bag.
There are n red sweets in the bag.
There are 8 yellow sweets in the bag.
Sajid is going to take at random a sweet from the bag and eat it.
He says that the probability that the sweet will be red is
7
10
(a) Show why the probability cannot be
7
10
Red sweets
_______
Total number =
N÷n+8
Probility is 7/10=n÷n+8
10n= 7n+56
3n=56
N= 56/3 but it has to be a whole number so 7/10