First thing we have to take notice that this graph is discreet, meaning it can only take certain numbers .
so height represent discreet data ; at a certain age, we can measure height of a person .
whereas distance , temperature and number of hours are continuos data as the can take ANY numbers
Answers :
1. option 2 is correct , this is the height ( in feet) of a student is a function of the student age .
2. The domain of the function is discreet, because the value of x must be 0,4 and 8 ( extra notes : we cannot take a statement that says ANY number , because we are working with discreet data that doesnt take ANY number, so the best option is 0,4, 8)
Area of parallelogram is 60cm if the length of two adjacent side are 12 and 10 cm respectively find its diagonal
Answer: go to my page and get your points back but get the app socrative is way better than brainly please it helps and save time then comeback and tell me how you like it just want to help I am leaving brainly because socrative is way better
Step-by-step explanation:
Counting numbers are to be formed using only the digits 1, 3, 7,5,4,8, and 2. Determine the number of different possibilities for two-digit numbers.
Answer:
11699 numbers and 42 two-digit numbers
Rosa is making lemon bars for a baking competition at school. Each
lemon bar must be covered in decorative icing. A picture of the lemon
bar is shown below.
8 in
4 in
Write an expression to determine how much area is covered with icing.
Do not perform any computation and do not include units in your
expression.
. Each lemon bar must be covered in decorative icing. A picture of the lemon bar is shown below.
Can you work out this math puzzle?
The value of the puzzle is 17
The value of the triangle :
30/3 = 10Value of Circle :
10/2 = 5Value of whole yellow square :
8/2 = 4Value of half-yellow square :
4/2 = 2Using the above information:
Triangle + Circle + half-square
10 + 5 + 2 = 17
Therefore, the solution to the puzzle is 17
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Evaluate the expression when a=5 and y= -3 a-4y
Answer:
-13
Step-by-step explanation:
Substitute: -5 + 4 × (-2)
Remove the parentheses: -5 -4 ×2
Calculate the product or quotient: -5 -8
Calculate the sum or difference: -13
How many
1/4-foot cubes would fill the inside of the prism?
Write the answer in the box.
There are 4 cubes of size 1/4 foot would fill the inside of the prism.
We have to given that;
Height of cuboid = 3 feet
Length of cuboid = 3/4 feet
Width of cuboid = 1/2 feet
We know that;
Volume of cuboid = Length x width x height
Hence,
V = 3/4 x 3 x 1/2
V = 9/8
Thus, Number of 1/4-foot cubes which would fill the inside of the prism is,
= (9/8) ÷ (1/4)
= (9/8) x 4
= 9/2
= 4.5
Thus, There are 4 cubes of size 1/4 foot would fill the inside of the prism.
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Find the 66th
term in the following
arithmetic sequence
-92, -85, -78, -71, ...
Answer:
The \(66\)th term is \(363\).
Step-by-step explanation:
To find the \(n\)th term, the formula is \(7n - 99\). Since we want to find the \(66\)th term, we can plug \(n\) for \(66\). So our expression is now \(7 \cdot 66 - 99 =\) \(66\)th term. Solving this we have
\(462 - 99 = 66\text{th term}\\363 = 66\text{th term}\\\). Therefore, the \(66\)th term is \(\boxed{363}\).
Answer:
a₆₆ = 363
Step-by-step explanation:
the nth term of an arithmetic sequence is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = - 92 and d = a₂ - a₁ = - 85 - (- 92) = - 85 + 92 = 7 , then
a₆₆ = - 92 + (65 × 7)
= - 92 + 455
= 363
Please help. Will award brainliest
The dimension of the rectangular of a norman window will be 1.6803*3.3606.
What is the area of Rectangle?
In any quadrilateral which have equal and parallel opposite sides is considered to be a rectangle. It is also called as a polygon with four sides and the four angles that are all 90 degrees each. A rectangle is a shape with only two dimensions. The product of the length and the breadth calculates its area. The length of the diagonals of any rectangle are equal in length. Thus, the length of the diagonals can be calculated easily using the Pythagoras theorem where, the diagonal is considered to be the hypotenuse.
Let r represents the radius, and b be the breadth.
Then, perimeter = 3.14*r+2r+2b = 12
For the dimension needed for the most light to enter we need to maximize the area.
Hence, area of the window : area of the semicircle + area of the rectangle
= \(\frac{3.14*r^2}{2} + 2rb\)
= \(12r - (\frac{3.14+4}{2}) r^2\)
A'(r) = 0
Therefore, \(r=\frac{12}{3.14+4}\) which is nearly equal to 1.6803m
From this value of r we can calculate the value of b to be;
b= 1.6803m
Thus, a= 3.606m
Thus the required dimension is : 1.6803*33606
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101 point10) Describe the transformation of thefunction y =-\x+31 +2A) transulated 3 units right and up 2B) reflected across the x axis, translated 3 units right and up 2C) reflected across the x axis, translated 3 units left and up 2D) reflected across the x axis, translated 3 units left and down 2OOO
Answer:
Explanation:
The parent function is y = |x| and the function y = -|x + 3| + 2 is achieved by moving 3 units to the left (which turns |x|) into |x + 3 |), reflecting the result about the horizontal axis (which turns |x|) into - |x + 3 |), and finally moving up by 2 units (which turns |x|) into -|x + 3 | + 2).
Hence, the right transformation is choice C: Reflected across the x-axis, translated 3 units left and up 2.
Question Progress
Homework Progress
85%
Vol =
1/3
x base area x ht
The pyramid below has a rectangular base and E
is directly above A.
Find the volume of the pyramid.
E
10 cm
С
A
4 cm
9 cm
B
Answer:
Step-by-step explanation:
84% Vol =
3
x base area x ht
The pyramid below has a rectangular base and E
is directly above A.
please help me solve this problem
The features related to vectors are listed below:
Case A: u' = (- 4√41 / 41, - 5√41/ 41)
Case B: Tip coordinantes of vector v: (x, y) = (10, 10)
Case C: r = 11.402
How to determine vectors
In this question we must determine three features related to vectors: (a) unit vector, (b) the definition of a vector based on the coordinates of its base and its tip, (c) The magnitude of a resulting vector.
Case A - Unit vector
Unit vectors are vectors with magnitude 1, for the case of vector u we have the following definition:
u' = u / ||u||
Where:
u' - Unit vector.u - Vectoru - ||u|| - Magnitude of the vector.Please notice that the magnitude of the vector is determined by Pythagorean theorem:
r = √[(Δx)² + (Δy)²]
Where:
r - MagnitudeΔx - Change in the x-direction.Δy - Change in the y-direction.Thus, the unit vector of u is:
u' = (- 4, - 5) / √[(- 4)² + (- 5)²]
u' = (- 4, - 5) / √41
u' = (- 4 / √41, - 5 / √41)
u' = (- 4√41 / 41, - 5√41/ 41)
Case B - Definition of a vector
This can be found easily by vector subtraction:
v = Tip coordinates - Base coordinates
(3, 4) = (x, y) - (7, 6)
(x, y) = (3, 4) + (7, 6)
(x, y) = (10, 10)
Case C - Magnitude of a vector
The magnitude is found by means of Pyhtagorean theorem:
r = √[(- 4 - 3)² + (- 5 - 4)²]
r = √[(- 7)² + (- 9)²]
r = 11.402
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In one season, a basketball player missed 50% of her free throws. How many free throws did she attempt if she made 183 free throws?
Answer:
Step-by-step explanation:
50% of 366 is 183, therefore your answer is 366.
Suppose that you have taken out a loan for $30,000 at an annual interest rate of 10%, that the bank compounds the interest every microsecond, and you make no payments for the first five years. How much money will you owe at the end of those five years?
Compound interest is the interest based on the initial loan taken out and the interest accumulated with time
The amount owed at the end of 5 years is approximately $48,994.16
The known loan information are;
The loan principal amount, P = $30,000
The annual interest rate, r = 10%
The rate at which the interest is compounded = Every microsecond
Required:
The amount of money owed at the end of the five years
Solution:
The compound interest formula is presented as follows
\(A = P \times \left(1+\dfrac{r}{n} \right)^{n \times t}\)
Where;
Interest per period, i = r/n
t = The number of years = 5 years
Which gives;
The number of microseconds in a year, n = 3.15576 × 10¹³ microseconds
By plugging in the values, we get;
\(A = 30,000 \times \left(1+\dfrac{0.1}{3.15576 \times 10^{13}} \right)^{3.15576 \times 10^{13} \times 5} \approx 48,994.16\)
The amount owed at the end of 5 years ≈ $48,994.16
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Find the distance between the point (5,12) and the line y = 5x + 12 (rounded to the nearest hundredth).
A. 1.36 units
B. 2.19 units
C. 4.81 units
D. 4.90 units
The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units
How to find the distance between a point and a line?
If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0
Then the distance of a point from the line is given by the formula:
d = (ax₁ + by₁ + c) / √(a² + b²)
Given: the point (5,12) and the line y = 5x + 12. The line can be written as
5x-y+12 = 0. Thus:
x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:
d = (ax₁ + by₁ + c) / √(a² + b²)
d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)
d = 25/√26 = 4.90 units
Therefore, the distance between the point and the line is 4.90 units. Option D is the answer
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what is the Y-intercept of the graph below.
Answer:
2
Step-by-step explanation:
the line meets the y axis at (0,2)
Answer:
you need this ?
the y is
y=-x+2
You use a $100 gas card to pay for gas at $2 per gallon. You have y dollars left in your card after you fill x gallons of gas to your car.
Answer:
y= -2x +100
Step-by-step explanation:
. The table below shows the cost of making a long distance call based on the length of the call. Long Distance Rates Time (minutes) Cost 5 $0.55 6 $0.62 7 $0.69 8 $0.76 9 $0.83 10 $0.90 Refer to the above table of long distance rates. Write an expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes.
An expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes is (0.55 + (n - 5) x 0.07) dollars.
Given:
Long Distance Rates Time (minutes) Cost5 $0.556 $0.627 $0.698 $0.769 $0.8310 $0.90We need to find an expression that can be used to find the cost of an n-minute long-distance call, where n is at least 5 minutes.
The cost of making a long-distance call is given for 5 minutes, 6 minutes, 7 minutes, 8 minutes, 9 minutes, and 10 minutes.
We can observe from the above table that for every increase of 1 minute, the cost increases by $0.07.
We can conclude that the cost of n minutes long-distance call is given by: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes.
Therefore, the required expression is: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes. The above expression is based on the pattern in the table provided for long-distance call rates. We can use this expression for values of n greater than or equal to 5.
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Two hens can lay 2 eggs in 2 minlutes if that is the maximum speed how many hens can lay 500 eggs in 500 minutes
Given the function f(x) = 0.5|x - 41-3, for what values of x is f(x) = 7?
x = -24, x = 16
x= -16, x = 24
x=-1, x = 9
x = 1, x = -9
The values of x for which f(x) = 7 are x = 61 and x = 21.
To find the values of x for which f(x) = 7, we can set up the equation and solve for x.
The given function is f(x) = 0.5|x - 41| - 3.
Setting f(x) equal to 7, we have:
0.5|x - 41| - 3 = 7.
First, let's isolate the absolute value term:
0.5|x - 41| = 7 + 3.
0.5|x - 41| = 10.
To remove the absolute value, we can consider two cases:
Case: (x - 41) is positive or zero:
0.5(x - 41) = 10.
Multiplying both sides by 2 to get rid of the fraction:
x - 41 = 20.
Adding 41 to both sides:
x = 61.
So x = 61 is a solution for this case.
Case: (x - 41) is negative:
0.5(-x + 41) = 10.
Multiplying both sides by 2:
-x + 41 = 20.
Subtracting 41 from both sides:
-x = -21.
Multiplying both sides by -1 to solve for x:
x = 21.
So x = 21 is a solution for this case.
Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.
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Caleb has twice as many cousins as amanda. Ruby has 5 cousins, which is 11 less than caleb has. How many cousins does amanda have?
Answer:
Amanda has 8 cousins
Step-by-step explanation:
Let C be the number of cousins Caleb has, A be the number of cousins Amanda has, and R be the number of cousins Ruby has:
\(C=2A\\R=5\\R=C-11\\\\R=C-11\\5=C-11\\16=C\\\\C=2A\\16=2A\\8=A\)
Therefore, Amanda has 8 cousins.
Answer:
Amanda has 8 cousins.
Step-by-step explanation:
Let's use algebraic variables to solve the problem.
Let's assume the number of cousins Amanda has is represented by 'A'.
Since Caleb has twice as many cousins as Amanda, the number of cousins Caleb has is '2A'.
And Ruby has 5 cousins, which is 11 less than what Caleb has, so the number of cousins Caleb has is '5 + 11 = 16'.
Equating the two expressions for the number of cousins Caleb has:
2A = 16
Now we can solve for 'A', the number of cousins Amanda has:
Divide both sides of the equation by 2:
A = 16 / 2
A = 8
Therefore, Amanda has 8 cousins.
Sam's dad gave him $30 for washing their car. He used the money to buy a basketball for $7.50 and three sports drinks for $2.75 each, Sam also bought a bag
of candy
if Sam went home with 1/3 of the money his dad gave him how much did the bag of candy cost?
Answer:
4.25 $
Step-by-step explanation:
2.75 × 3 = 8.25
8.25 + 7.50 = 15. 75
30 - 17.75 = 14.25
14.25 - 10 = 4.25
The bag of candy costs $4.25
Someone wanna help me, Maths my weakest subject. I need it done by 11
Answer:
6 is -10
Step-by-step explanation:
pythagorean theorem round to the nearest tenth
Answer:
15
Step-by-step explanation:
Using pythagoras theorem
What is the solved equation for x+4=-14?
Answer:
-18
Step-by-step explanation:
Answer: x =-18
Step-by-step explanation: because in order to get the variable by its self yo have to subtract 4 and that will add up to -18 because -4 from a negative number means adding 4 to it
Wei wants to prove that the segment joining midpoints of two sides of a
triangle is parallel to the third side.
Select the appropriate rephrased statement for Wei's proof.
Now we know PR∥QX , according to construction with transversal line TX.
∠PTS=∠QXS (Alternate angle)
In △PTS and △QSX
∠PTS=∠QXS (Alternate angle)
∠PST=∠QSX(vertically opposite angles)
PS=SQ(S is mid point of PQ)
△PTS≅△QSX(AAS rule)
So, TP=QX(CPCT)
As we know, TP=TR (T is midpoint)
Hence, TR=QX
Now, in quadrilateral TSQR
TS∥QR
Hence proved.
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In parallelogram ABCD, the coordinates of A are (4,3) and the coordinates of the midpoint of diagonal AC
are (2,5). What are the coordinates of C?
Answer:
D. (0, 7).
Step-by-step explanation:
Moving from (4,3) to (2, 5) we move 2 to the left; 2 - 4 = 2 then 2 up 3 + 5 = +2.
So the point C is 2-2, 5+2 = (0, 7).
what is 6 5/8 + 4 3/4 in simplest terms
Answer: To find the sum of 6 5/8 and 4 3/4, you need to express the two fractions with a common denominator. One way to do this is to express both fractions with a denominator of 8. To express 6 5/8 with a denominator of 8, you can rewrite it as 6 + 5/8, and to express 4 3/4 with a denominator of 8, you can rewrite it as 4 + 3/4. When you add these two fractions, you get:
6 + 5/8 + 4 + 3/4
= 10 + 8/8
= 10 + 1
= 11 1/8
So the sum of 6 5/8 and 4 3/4 is 11 1/8. This fraction is already in simplest form, since the numerator and denominator are relatively prime (i.e., have no common factors other than 1).
Answer:
\(\frac{91}{8}\)
Step-by-step explanation:
so your question is given in mixed number
\(6\frac{5}{8} + 4\frac{3}{4}\)
now simply multiply 6 with denominator and then add 5 to it . In denominator keep 8 as it is.Follow the same process for another term as well.
= \(\frac{6*8+5}{8}\) +\(\frac{4*4+3}{4}\)
=\(\frac{53}{8}\) + \(\frac{19}{4}\)
now take LCM
=\(\frac{53*1 +19*2}{8}\)
=\(\frac{53+38}{8}\)
=\(\frac{91}{8}\)
After this if it any cancelation can be done then do cancel in denominator and numerator but here we cannot cancel so your final answer is \(\frac{91}{8}\)
समय: 3 घण्टा पूणाङ्क: 9 सबै प्रश्न अनिवार्य छन् । (All questions are compulsory.) 1 200 जना विद्यार्थीहरूको समूहमा गणित मात्र मन पराउने र विज्ञान मात्र मन पराउने विद्यार्थीहरूको अनुपात 2:3 छ । यदि 50 जना विद्यार्थीहरूले दुवै विषय मन पराउँछन् र 20 जनाले कुनै पनि विषय मन पराउँदैनन् भने, In a group of 200 students, the ratio of students who like Maths only and Science only is 2 : 3. If 50 students like both subjects and 20 like none of the subjects, (a) माथिको कथनलाई भेनचित्रमा देखाउनुहोस् । Show the above information in a Venn diagram. [1] (b) एउटा मात्र विषय मन पराउने विद्यार्थी सङ्ख्या पत्ता लगाउनुहोस् । Find the number of students who like only one subject. students like Science? [3] [Ans: 130] (c) कति जना विद्यार्थी विज्ञान मन पराउँछन् ? How many [1] [Ans: n(S) = 128] (d) कम्तीमा एक विषय मन पराउने विद्यार्थी सङ्ख्या कति हुन्छ ? How many students like at least one subject
? [1] [Ans : 180] 3. (b) (c) व ए 5
Answer:
What is one reason that Thomas Paine brings up the opposing argument that
the colonies have been well protected by the British?
• A. To create a chance to prove his opponents wrong
• B. To give his opponents a fair chance to argue their side
• C. To create parallelism by showing how he and his opponents
sometimes agree
• D. To show his opponents that their arguments are valid
SUBMIT
10
El tiempo aproximado en caminar de tu casa (C) a la de tu amigo (A) pasando por la tienda (T)
es de 14 minutos; Si caminas a la misma velocidad, ¿Cuántos minutos te tomará caminar
directamente a la casa (C) de tu amigo (A)? Redondea al entero más cercano.
500yd
A
700yd
Respuesta:
10.0 minutos
Explicación paso a paso:
Distancia total recorrida caminando de C a A pasando por T:
500 yardas + 700 yardas = 1200 yardas
Tiempo necesario para recorrer 200 yardas = 14 minutos
Caminando directamente de C a A:
La distancia se puede obtener usando una relación trigonométrica:
Hipotenusa = √ (opuesto² + adyacente²)
Hipotenusa = √500² + 700²
Hipoteno = 860.23252 yardas
Por eso ; Si
1200 yardas = 14 minutos
860.23252 yardas = x
Multiplicar en cruz:
1200x = 12043,255
x = 12043,255 / 1200
x = 10.036 minutos
El tiempo necesario para caminar directamente será: 10.0 minutos
What is the product of x^7 and x^4?
Step-by-step explanation:
For this problem, we need to focus on the exponent rule for multiplying.
Rule:
\(x^{a} \times {x}^{b} = {x}^{a + b} \)
In words:
When multiplying with exponents, the exponents add.
For this problem, we'll be adding the exponents of 7 and 4.
Solve:
\({x}^{7} \times {x}^{4} = {x}^{7 + 4} = {x}^{11} \)
Your product is x^11 (x to the 11th power)