Point C (3,8) is the required ordered pair that is not the solution of the given equation. Option C is correct.
Given that,
To determine which ordered pair is NOT a solution to the equation y = 2x.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Given relation y = 2x
Now substitute every value of x from the ordered pair and match the output with the corresponding value of the ordered pair.
put x = 1, 2, 3, 5
Y = 2(1)
y = 2
Similarly the outcome of the values,
x = 2, 3, 5
y = 4, 6, 10
Thus, Point C (3,8) is the required ordered pair that is not the solution of the given equation. Option C is correct.
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What is the slope for the line shown?
The answer choices are -1/3, 8, 3, and -3.
Find the value of y.
7x7x7x7x7x7=7y
what are the coordinates of the circumcenter of ABC A(-5,-4) B(3,-4) C(-1,6)
P(-4,-1) are the coordinates of circumcentre of the triangle
How to find the coordinates of the circumcenter of a triangle?The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of that particular triangle intersect.
Let A(-5,-4), B(3,-4), C(-1,6) be the vertices of the given △ABC.
Let P(x,y) be the circumcentre of △ABC. Then,
PA = PB = PC
Also, PA² = PB² = PC²
PA² = PB²
(x-(-5))² + (y-(-4))² = (x-3)² + (y-(-4))²
(x+5)² + (y+4)² = (x-3)² + (y+4)²
x²+10x+25 + y²+8y+16 = x²-6x+9 + y²+8y+16
10x-6x = 9-25
4x = -16
x = -16/4 = -4
Also, PB² = PC²
(x-3)² + (y+4)² = (x+1)² + (y-6)²
x²-6x+9 + y²+8y+16 = x²+2x+1 + y²-12y+36
-6x-2x+8y+12y = 37-9-16
-8y+20y = 12
-2x+5y = 3 .......(1)
put x= -4 into (1):
-2(-4)+5y = 3
8+5y = 3
5y = 3-8
5y = -5
y = -1
Therefore, the coordinates of circumcentre of △ABC are P(-4,-1)
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Please help I’ll give 30 pts
The area of the figure created by Brianna is [tex]33\frac{3}{4}[/tex] square feet.
Explain area in mathematics.
Area is a mathematical concept that expresses the size of a region on a planar or curved surface. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area or, it can be simply defined as the total amount of space occupied by a flat (2-D) surface or an object's shape.
Solution Explained:
A square with a side of 4 1/2 feet and two parallelograms with bases of 4 1/2 feet and heights of 1 1/2 feet make up the figure.
Therefore, the total area of the figure is
Area of Square + 2 X Area of Parallelogram
= (side)^2 + 2(b X h)
= (4 1/2)^2 + 2(4 1/2 X 1 1/2)
= 81/4 + 27/2
= 135/4
= [tex]33\frac{3}{4}[/tex] square feet
Area of the figure is [tex]33\frac{3}{4}[/tex] square feet.
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please help ASAP
A toy cannon ball is launched from a cannon on top of a platform.
The function h(t) =-5+ 2 + 20+ + 4 gives the height, in meters, of the ball t seconds after it is launched.
Write and solve an inequality to find the times where the ball is more than 12 meters above the ground.
Round to the nearest hundredth.
Answer:
hello\\
Step-by-step explanation:
I need help me thank you
Step-by-step explanation:
s = 17b
when b =2:
s = 17b
s = 17(2)
s = 34
when b = 4
s = 17b
s = 17(4)
s = 68
if x varies inversly as the square root of y varies and x=1 when y=4, find;
relationship between x and y
the value of x when y =9
the value of y when x=12
Answer:
x = 2/√y or y = 4/x²x = 2/3y = 1/36Step-by-step explanation:
When x varies inversely as the square root of y, and x=1 when y=4, you want to find ...
the relationship between x and ythe value of x when y =9the value of y when x=12.Inverse variationThe given relation can be written using a constant of proportionality as ...
x = k/√y . . . . x varies as the inverse of the square root of y
The value of k can be found from the given values for x and y:
1 = k/√4 = k/2
2 = k . . . . . . . . . multiply by 2
RelationshipThe relationship between x and y can be written as ...
x = 2/√y
Solving for y, it can also be written as ...
y = 4/x²
For y = 9The value of x is ...
x = 2/√9
x = 2/3
For x=12The value of y is ...
y = 4/12² = 4/144
y = 1/36
At a grocery store, three- dozen cookies costs $9.00. What would it cost for one cookie
v = u + at
u = 2 a = -5 t = 1/2
Work out the value of v
Answer:
-.5
Step-by-step explanation:
u=2+-2.5=.5
A Pringles chip can has a diameter of 8 cm and a height of 30 cm. Determine the volume of the cylindrical can.
The area of a circle is shown below.
A = πr²
The volume of the cylindrical Pringles chip can is 1508 cm³
Calculating the volume of a cylinderFrom the question, we are to determine the volume of cylindrical can
The volume of a cylinder is given by the formula
V = πr²h
Where V is the volume of the cylinder
r is the radius
and h is the height
From the given information,
Diameter = 8 cm
But,
Radius = Diameter / 2
Therefore,
r = 8 / 2 = 4cm
h = 30 cm
Thus,
Volume of the cylindrical can = π× 4² × 30
Volume of the cylindrical can = π× 16 × 30
Volume of the cylindrical can = 480π cm³
Volume of the cylindrical can = 1507.96447 cm³
Volume of the cylindrical can ≈ 1508 cm³
Hence,
The volume is 1508 cm³
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Otis made 1 3/5 cups of oatmeal. He put 2/3 cup of
oatmeal into each bowl. How many bowls of oatmeal
did Otis make? Use equations to solve the problem.
Show your work.
If Otis made [tex]1\frac{3}{5}[/tex] cups of oatmeal and he put 2/3 cup of oatmeal into each bowl, then he made 12/5 bowls of oatmeal
Total quantity of oatmeal that Otis made = [tex]1\frac{3}{5}[/tex] cups of oatmeal
Convert mixed fraction to simple fraction
[tex]1\frac{3}{5}[/tex] cups = 8/5 cups
The quantity of oatmeal in each bowls = 2/3 cup of oatmeal
Then the number of bowls of oatmeal that he made = Total quantity of oatmeal that Otis made ÷ The quantity of oatmeal in each bowls
Substitute the values in the equation
The number of bowls of oatmeal that he made = 8/5 ÷ 2/3
= 8/5 × 3/2
= 12/5 bowls
Hence, if Otis made [tex]1\frac{3}{5}[/tex] cups of oatmeal and he put 2/3 cup of oatmeal into each bowl, then he made 12/5 bowls of oatmeal
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Decide whether each equation is true for all, one, or no values of x.
1. 3x + 9 = -4.5x + 20 ; This is true for one value of x.
2. 9(x + 3) = 9x + 12 ; This is true for no values of x.
3. 4(2x + 3) = 12 + 8x ; True for any values of x.
Given,
The equations;
1. 3x + 9 = -4.5x + 20
2. 9(x + 3) = 9x + 12
3. 4(2x + 3) = 12 + 8x
We have to find whether each equation is true for all, one or no values of x.
Here,
1. 3x + 9 = -4.5x + 20
Solve for x;
3x + 4.5x = 20 - 9
7.5x = 11
x = 11/7.5
x = 1.47
Then,
This is true for one value of x.
2. 9(x + 3) = 9x + 12
Solve using distributive property;
9x + 27 = 9x + 12
9x - 9x = 12 - 27
0 = -15
This is true for no values of x.
3. 4(2x + 3) = 12 + 8x
Use distributive property and solve;
8x + 12 = 12 + 8x
8x - 8x = 12 - 12
0 = 0
True for any values of x.
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Marlee is making jewelry for a class craft show. She began with 115 inches of wire. She used 25.75 inches for rings. Then her teacher gave her 3014 inches of wire to make more jewelry. She then used 3812 inches for the bracelets and 60.2 inches for necklaces. How much wire does Marlee have left? Write your answer as a mixed number in simplest form.
Marlee is in short of -768.95 inches of wire for making jewelry.
Given that, Marlee is making jewelry for a class craft show. She began with 115 inches of wire.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The numerical expression for the given situation is
115-25.75+3014-(3812+60.2)
= 89.25+3014-3872.2
= 3103.25-3872.2
= -768.95 inches
Therefore, Marlee is in short of -768.95 inches of wire for making jewelry.
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euclid, pythagoras, ptolemy, and hypatia are playing a game where they all have to think of a number, and then cube that number 20 times. hypatia doesn't want to cube large numbers, so she chooses the number $1$. euclid thinks the same thing and also chooses the number $1$. however, pythagoras and ptolemy don't think ahead and pythagoras chooses $2$ and ptolemy chooses $-2$. after they finish cubing their numbers (pythagoras and ptolemy take a while), all four players write their final numbers on a piece of paper. what is the sum of the numbers they wrote on the piece of paper?
The sum of the numbers they wrote on the piece of paper is 2,305,843,009,213,693,954
What is Pythagoras's theorem?
The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle or in standard algebraic notation, a² + b² = c², is equal to the squares on the legs.
What is the sum of numbers?
The outcome or conclusion we arrive at when we add two or more integers is known as the sum. Addends are the numbers that are added.
Here, we calculate the sum of the given numbers
= (1³)^²⁰ + (1³)²⁰ + (2³)²⁰ + (-2³)²⁰
= 2,305,843,009,213,693,954
Hence, the sum of the numbers they wrote on the piece of paper is 2,305,843,009,213,693,954.
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How to solve step by step
Answer: 5
Step-by-step explanation: First we do (-4-(-7))^2 which is 9 and then
(8-4)^2 which is 16 so 9+16=25 and √25 = 5.
WORTH 100 POINTS
Write [tex]\frac{3}{2}[/tex] As a Tape Diagram
Answer:
Step-by-step explanation:
Dibuja una diagrama de cinta dividido en 3 y pinta 2 de los espacios
De nada :>
a square with side length 2 and a circle share the same center. the total area of the regions that are inside the circle and outside the square is equal to the total area of the regions that are outside the circle and inside the square. what is the radius of the circle?
The radius of the circle which is overlapping the square is 1.12.
The length of side of the square is 2. Let us say that the radius of the circle is R.
The circle and the square are overlapping on each other.
The area of the region that are outside the circle but inside the square are equal to the area of the region which are inside the circle but outside the square.
Let us name the area of the region that are outside the circle but inside the square as M.
Let us name the area of the region which are inside the circle but outside the square as N.
Let us say that the area that is common in both is C.
The area of the square is 4.
So, according to the question,
M + C = 4
And,
N + C = πR²
And we know, M = N,
So,
C - πR² = C - 4
R = 2/√π
R = 1.12.
So, the radius of the circle is 1.12
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x^2-6x-3=(x-a)^2-b where a and b are constants.Find the values of a and b
Answer:
a = 3, b = 12
Step-by-step explanation:
x^2-6x-3=(x-a)^2-b
Lets expand the right side:
(x-a)^2-b = (x-a)(x-a)-b
(x-a)(x-a)-b = x^2 -2ax + a^2 - b
The left side is equal to the right, as per the original equation:
x^2-6x-3 = x^2 -2ax + (a^2 - b)
Compare each term:
1) x^2 = x^2 OK
2) -6x = -2ax; a = 3 so that -6x = -2(3)x
3) -3 = (a^2-b); a^2 = (b-3)
a = [tex]\sqrt{b-3}[/tex]
a is 3, from above
3 = [tex]\sqrt{b-3}[/tex]
9 = b-3
b = 12
What is the range of the following function
The range of the given function is y ≥ 0 which is option B.
From the graph:
Some points (-1,1),(-2,2),(0,0),(1,1),(2,2)
Range is defined as the set of y values or outputs.
range = 0,1,2,3 ......
Means range starts from zero to infinite(0 to all positive values.
so range = y ≥ 0
Therefore range of the given function is y ≥ 0 which is option B.
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Please help me (see attachment)
A cat’s heart beats approximately 45 times in 15 seconds. At this rate how many times does the cat′s heart beat per second?
A, B and C are points on the circumference of a circle.
XY is a tangent to the circle at the point A.
Angle BAY = 72° and angle ABC = 54°.
Prove that triangle ABC is an isosceles
triangle.
You must give a reason for any statement
that you make or any calculation that you
carry out.
By using tangent property of circle, it has been proved that [tex]\Delta[/tex] ABC is isosceles
What is tangent to a circle?
At first it is important to know about circle.
Circle is a two dimensional round figure in which every point of the circle maintains a fixed distance from a point known as the center. The fixed distance is called the radius of the circle.
The straight line which touches the circle at any point is known as the tangent to a circle.
Tangent property of circle is used here
[tex]\angle BAY = 72^{\circ}[/tex]
[tex]\angle ABC = 54^{\circ}[/tex]
[tex]\angle ACB = 72^{\circ}[/tex] [Angle in alternate segment are equal]
[tex]\angle BAC = 180 - (54 + 72)\\[/tex] [Sum of three angles of a triangle is 180°
= 180 - 126
= 54°
[tex]\Delta ABC[/tex] is isosceles
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What is one possible y coordinate
Answer:
Step-by-step explanation:
Answer x = 4 or x = -4.
Explanation: you can make what is called a 3-4-5 triangle. The base in this case is 3(from -2 to -5 there is 3 units), the hypotenuse is 5(length given in the question) therefore the height (also known as the y coordinate) is 4 or -4 if you flip the triangle.
I NEED THIS GRAPH SOLVED ASAP
I need either the function in factored form or the roots(with multiplicity) or standard form thank you and please!!!
Answer:
if the root is 10 then the function is ²✓5
An elevator can carry 28 adult or 30 children at one time during the course of the day the elevated acre carries a full passenger load 74 times all passengers were adults how many more people would the elevator carry then if all passengers were adults
The number of people the elevator would carry more if all passengers were children would be = 148 extra people.
What is an elevator?An elevator is defined as the machine that is being installed in tall buildings which helps to transport individuals either to slower level or a higher level of the building.
The number of adults the elevator can carry at a time = 28 adults.
The number of children the elevator can carry at a time = 30 children.
During the course of the day the total capacity of the elevator= 28 × 74 = 2,072.
The number of people the elevator would carry more if all the passengers where children would be;
30 × 74 = $2,220
2,220 - 2,072 = 148 extra people.
Therefore, the number of people the elevator would carry more if all passengers were children would be = 148 extra people.
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what value of x will make the triangles similar by the sss similarity theorem? what value of x will make the triangles similar by the sss similarity theorem? 15.9 59 77 96.8
By applying the SSS similarity theorem, the value of x that will make the provided triangles similar is 77.
SSS Similarity Theorem: What is it?
The SSS similarity theorem is used to determine whether or not two triangles are similar.
The side-side-side, or SSS. According to this theorem, triangles are comparable if all three sides of one triangle are proportional to the three equivalent sides of another triangle.
The first triangle's sides in the example figure are 35, 20, and 20. The second triangle has sides x, 44, and 44.
So, according to the SSS similarity theorem,
x/35 = 44/20
x =44 *35 /20
x =77
By applying the SSS similarity theorem, the value of x that will make the provided triangles similar is 77.
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Answer:28
Step-by-step explanation:
Given that 27 ^-1/3 = 9^1/4÷ 3^x+1
find the exact value of x.
Answer:
decimal form> -4.87577494
Exact form> -In(212)/In(3)
cook-it rice cooker has a mean time before failure of 38 months with a standard deviation of 4 months, and the failure times are normally distributed. what should be the warranty period, in months, so that the manufacturer will not have more than 7% of the rice cookers returned? round your answer down to the nearest whole number.
In 40 months, so that the manufacturer will not have more than 7% of the rice cookers returned.
Define p- value.A p-value calculates the likelihood of getting the outcomes that were observed, presuming that the null hypothesis is correct. The statistical significance of the difference that was found increases with decreasing p-value. Statistical significance is commonly defined as a p-value of 0.05 or less. The sample data, test type, and sampling distribution of the test statistic under the null hypothesis are used to determine the p-value (lower-tailed test, upper-tailed test, or two-sided test).
Given,
Cook-it rice cooker has a mean time before failure of 38 months with a standard deviation of 4 months, and the failure times are normally distributed.
The 7th percentile, or X when Z has a p-value of 0.08, or X when Z = 0.4720, should serve as the warranty period.
Z = X - Mean/ standard deviation
0.472 = x - 38/4
0.472 (4) - x - 38
1.888 = x - 38
x = 39.88
x = 40
In 40 months, so that the manufacturer will not have more than 7% of the rice cookers returned.
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there are 8 pink shirts, 6 green shirts, and 4 red shirts in a drawer. suppose you reach in and draw two shirts at random. what is the probability that at least one of the shirts you draw will be pink?
The probability that at least one of the shirts you draw will be pink 46/51.
What is probability?
The likelihood of an event happening is determined by probability. There are many instances in real life where we may need to make predictions about how something will turn out combination . The outcome of an event may be known to us or unknown to us. When this happens, we say that there is a chance that the event will happen or not. In general, probability has many wonderful uses in games, in business to make forecasts based on likelihood, and in this emerging branch of artificial intelligence. By simply dividing the favourable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. The likelihood of an event occurring might range from 0 to 1.
Here the number of pink shirts=8
Number of green shirts=6
Number of red shirts=4
Here if you draw 2 shirts random then,
P(neither the shirt is blue) = [tex]\frac{6}{18} *\frac{5}{17}[/tex] = [tex]\frac{5}{51}[/tex]
Now the at least one of the shirt is pink then,
=> P( at least one shirt is pink)= 1-[tex]\frac{5}{51}[/tex] = [tex]\frac{51-5}{51}[/tex] = [tex]\frac{46}{51}[/tex]
Hence the probability that at least one of the shirts you draw will be pink 46/51.
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PLEASEE HELPPP GIVING ALL MY POINTS
Answer: 2
Step-by-step explanation:
This is because it is a scaled copy which means that the smaller has to multiply either by a whole or a fraction and the bigger can be divided by a whole or a fraction in order to be the smaller triangle if that makes sense. so 5*2=10, 12*2=24 thus if you were to divide 10/2=5, 24/2=12.
Answer:
The answer is 2:1
Step-by-step explanation:
This is because it is a 2/1 ratio
