The coordinate plane shows a circle with its center at the origin, and a transformation of point (1, 1) to form its image (T2, 32).
(X₁. Y₁)
Both (1, ₁) and (2, 2) are located on the circle. Which best describes the transformation?
The option that best describe the transformation is
a rotation of the point along the circle through a certain angleWhat is transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object.
Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
the transformation is the problem is reflection which is equivalent to 180 degree rotation hence we say it is a certain angle rotation of point about the circle's center.
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if i have a 3-digit number times a 4-digit number, then we are guaranteed to have how many digits in the answer?
find the circumference of the circle use 3.14 r=6
Circumference of the circle is 37.68 feet
What is circumference of the circle?A circle's diameter is multiplied by to determine its circumference (pi). You can also determine the circumference by multiplying 2radius by pi (=3.14).
R is specified as 6 feet, with a diameter of 12 feet (2 x 6).
Circumference: 12 feet times 3.14 inches, or 37.68 feet
If r is equal to 6 cm, the circumference is given by c = 2 (6) = 12 cm. If you'd rather have a number, the solution is 37.7 cm, rounded to the closest tenth.
D is the diameter, which is equal to 2 times r in the circumference formula ( r is the radius).
The distance between the center of the sphere and any plane passing through it is known as the circumference.
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1. How many one-cup servings of milk are in a two-liter bottle? Round your answer to the nearest tenth.
Answer:
8.0
Step-by-step explanation:
There are 1000 milliliters in one liter, so a two-liter bottle contains 1000 * 2 = 2000 milliliters of milk. Since one cup contains approximately 250 milliliters, a two-liter bottle contains 2000 / 250 = 8 cups of milk. Rounding this value to the nearest tenth, we find that there are approximately 8.0 one-cup servings of milk in a two-liter bottle.
Plssssss helppp fast
A. p = 70
B. p = 140
C. p equals 2 over 140
D. p = 0.0143
Option (a) is correct option.
What is constant of proportionality?The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality.
Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality. When two or more parameters are proportional to one another either directly or indirectly, their relationship is stated as a = kb or a = k/b, where k denotes the direction of the relationship between the two variables.The proportionality constant is thus k.
Constant of proportionality in given case is nothing but slope of given graph.
Slope is given by tangent of the angle made by line with positive x-axis.
p =slope of line
p = [tex]\frac{y-axis}{x-axis}[/tex]
p=[tex]\frac{140}{2}[/tex] = 70
So option (a) is correct.
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please help it about calculus
The answer to this Question based on speed is 1m/s
What is speed?
Speed can be defined as the rate at which an object moves from one point to another. It is usually measured in units of distance per unit of time, such as kilometers per hour (km/h) or miles per hour (mph). Speed is a scalar quantity, meaning it has magnitude but no direction. Speed can also be thought of as the rate of change of position. When an object is in motion, its speed is constantly changing due to the force of gravity, air resistance, and other external factors. The speed of an object can be affected by its weight, shape, and size. An object's speed can also be affected by other factors such as the friction of the surface it is moving on and the wind or air resistance. Speed is an important concept in physics, engineering, and many other fields.
we are given that velocity as a function of time along a single direction
we write v(t) = -2t+5
hence speed = mod(velocity)
speed at t = 2 sec = mod (velocity at t = 2 sec)
speed = mod(-2(2)+5)
speed = mod(-4+5)
speed = 1 m/s
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please tiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer:
Explanation: Its D.
Name 3 biotic factors in a marine ecosystem
Answer:
Biotic factors of a marine ecosystem typically include algae, plankton, bacteria, seaweed, corals, fish, sharks, seals, whales, penguins and jellyfish.
Step-by-step explanation:
i hope this answer helped
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Here are the first four terms of
an arithmetic sequence.
5 8 11 14
Find an expression, in terms of
for the..th term of the
sequence.
please help hard question
Answer:
Use Pyramid Formua to get upper height.
And add with 5m lower height.
The equation of line s is y=–4x–5/3. Line t includes the point (–3,3) and is parallel to line s. What is the equation of line t?
Answer:
write the equation in slope intercept form. Write the numbers in the equation as simplified proper fraction improper fraction or integer
The equation of the parallel line t is y = -4x - 9.
The equation of line s is given as
y = -4x - 5/3
Also, from the question, the point on line t is given as Point = (-3, 3)
The equation of a line can be represented as
y = m x + c-------(1)
Where m represents the slope
c is the constant value
By comparing the equations, we have the following
m = -4
This means that the slope of y = -4x - 5/3 is -4
The slopes of parallel lines are equal
This means that the slope of the line t is -4
The equation of the parallel line is then calculated as:
y = m(x - x₁) +y₁
Where m = -4
(x₁, y₁) = (-3, 3)
Now, we should substitute the known values in the above equation(1)
y = -4(x + 3) + 3
By Evaluating we get
y = -4x - 12 + 3
y = -4x - 9
Hence, the parallel line has an equation of y = -4x - 9.
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one leg of a right triangle is 6 inches longer than the other leg, and the hypotenuse is 30 inches. find the lengths of the legs of the triangle.
one leg of a right triangle is 6 inches longer than the other leg, and the hypotenuse is 30 inches. Thus,
The lengths of the legs of the triangle are 18 inches,24 inches and 30 inches.
What is triangle?Three vertices make up a triangle, a three-sided polygon. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
Given that,
one leg of a right triangle is 6 inches longer than the other leg.
hypotenuse is 30 inches.
Let assume, the other leg be x
It is given that, one leg of a right triangle is 6 inches longer than the other leg. So, One leg = x + 6
Since it is a right angled triangle,
h² = p² + b²
Where, h = hypotenuse
p = perpendicular
B = Base
So, (30)² = (x+6)² + x²
or, x = -24, 18
As, the length of side cannot be negative so x becomes 18.
Thus, x + 6 = 18 + 6 = 24 inches
Hypotenuse = 30 inches
Hence, the lengths of the legs of the triangle are 18 inches, 24 inches and 30 inches.
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Ten friends went out for a special dinner. If each person paid $24, what was the total
cost of the dinner?
Answer: 240
Step-by-step explanation: you take 10 times 12 and you get 140
Answer:
$240
Step-by-step explanation:
If ten friends went out and each was $24 it’s 10x24 which is equal to $240
Describe fully the graph which has equation x² + y² = 9
Answer:
Center: (0,0)
Radius: 3
Graph:
Please find attachment to view the graph.
Step-by-step explanation:
Please give the brainliest.
A woman bought some large frames for $19 each and some small frames for $9 each at a closeout sale. If she bought
11 frames for $129, find how many of each type she bought.
Answer:
She bought 3 large frames and 8 small frames.
Step-by-step explanation:
X= Large frames = $19
Y= Small frames = $ 9
Total Frames Cost = $129
Total Frames = 11
Then, costs formula:
1) 19X + 9Y = 129
2) X + Y = 11
So here you have a equation system and we will solve it by substituion method:
2) Y = 11-X
replace Y in 1)
1) 19X + 9(11-X) = 129
19X +99 -9X = 129
10X = 129-99
10X = 30
X = 30/10
X = 3
Then
Y = 11-3
Y = 8
Sample Space = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 3, 4}
B={1, 3, 5, 7, 9}
Find P(A and B)
The value of P(A and B) is 1/5.
What is Sample Space?
The set of all potential outcomes or results of an experiment or random trial is referred to as the sample space in probability theory. The sample points, or potential ordered outcomes, are listed as elements in the set notation used to represent a sample space.
Here, we have
Given
Sample Space = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 3, 4}
B={1, 3, 5, 7, 9}
We have to find P(A and B).
First, we will find A and B i.e A∩B
A∩B = {1,3}
Now, we will find P(A and B).
P(A and B) = n(A∩B)/n(S)
P(A and B) = 2/10
P(A and B) = 1/5
Hence, the value of P(A and B) is 1/5.
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Given the vector u equal to 7 (cos 310°, sin 310°) and vector v equal to
2 (cos 115°, sin 115°), find the sum u + v and write your answer in magnitude
and direction form with the magnitude rounded to the nearest tenth and the
direction rounded to the nearest degree, 0° ≤ 0 < 360°.
To find the sum of vectors u and v, we can add their components separately:
(u + v)x = (7cos 310° + 2cos 115°)
(u + v)y = (7sin 310° + 2sin 115°)
Using a calculator to evaluate these expressions, we get:
(u + v)x = -2.16
(u + v)y = 8.48
The magnitude of the sum vector u + v can be found using the Pythagorean theorem:
|u + v| = √((u + v)x^2 + (u + v)y^2)
= √(-2.16^2 + 8.48^2)
= √(72.3584)
= 8.51
The direction of the sum vector u + v can be found using the inverse tangent function:
θ = tan^(-1)((u + v)y / (u + v)x)
= tan^(-1)(8.48 / -2.16)
= tan^(-1)(-3.928571428571429)
= 143.13°
Rounding the magnitude to the nearest tenth and the direction to the nearest degree, we get:
u + v = 8.5 (cos 143°, sin 143°)
Therefore, the sum of vectors u and v is equal to 8.5 (cos 143°, sin 143°).
The function f(x) goes through the point (2,6). What point will this translate to in the function f(x) = ( x + 2) -3?
As it passes through the point (2,6), it will convert to the function f(x) = (x + 2) -3 at (0,3).
What is function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. A "vertical line test" can be used when examining a graph to determine whether a relation is a function. The relation is not a function if any point on the graph may be used to build a vertical line that crosses the relation twice.
Here,
g(x) = f(x + 2) – 3
This represents a shift of two units to the left and three units down:
x moves from two to two units left (-2) to become 0
y moves from six to three units down (-3) to become 3.
At (0,3), It will translate to the function f(x) = ( x + 2) -3 as it goes through the point (2,6).
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The height of a balloon, h, varies directly as the square root of its surface area, A.
When the balloon's surface area is 81 its height is 12
What is its height when its surface area is 144?
The height of the balloon is 21.33
According the the question the relation between height and surface area of balloon is
H=pA
where ,
H is height
p is proportionality constant
A is surface area
Surface area = 81
Height = 12
By Replacing the given values we get,
12=p x 81
p=12/81
Using it in given conditions,
H=(12/81)x144
H=21.33
So the height of the balloon in the given condition is 21.33
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Can anyone help with this? My friend's brain cells hurt :')
The required value of n for two similar pentagons is 15/4.
What is Scale factor?The scale factor is a type of measurement which is used to increase or decrease the size of an object keeping its shape as the same. It can be determined by taking the ratio of the new and the original dimension of the object.
The given two pentagons have similar shape because one has been scaled to get the other.
It implies that the ratio of the corresponding sides for them will be equal. It can be written as follows,
5/n = 3(¹/₃)/2(¹/₂)
=> 5/n = (10/3)/(5/2)
=> 5/n = 20/15
=> n = 15/20 × 5
=> n = 15/4
Hence, the value of n for the given pentagon is 15/4.
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On a certain hot summer's day, 481 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $932.50. How many children and how many adults swam at the public pool that day?
By using simultaneous linear equation, it can be calculated that-
Number of children are 118 and number of adults are 363
What is simultaneous linear equation?
At first it is important to know about linear equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.
Here, a simultaneous linear equation needs to be solved
Let the number of children be x and number of adults be y
481 people used the public swimming pool.
x + y = 481 ..... (1)
The daily prices are $1.75 for children and $2.00 for adults.
Total price = $(1.75x + 2y)
By the problem,
1.75x + 2y = 932.50
7x + 8y = 3730 .... (2)
Multiplying (1) by 7
7x + 7y = 3367.... (3)
Subtracting (3) from (2)
y = 363
Putting the value of y in (1)
x + 363 = 481
x = 481 - 363
x = 118
Number of children are 118 and number of adults are 363
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Which whole number is divisible by 3 and 9?
68
289
1,645
2.439
3,515
Answer:
ANS:- 2439
Step-by-step explanation:
2439/3 = 813
2439/9 = 271
NEED HELP!! Can someone help me solve this puzzle I think I have that first two right?
Reflection of point 1 over X axis is (-4, -2)
Reflection of point 2 over Y axis is (2, 3)
Reflection of point 3 over x = 1 is (2, 1)
Reflection of point 4 over y = x is (2, -1)
What is Reflection of a point?
A reflection point occurs when a figure is constructed around a single point known as the point of reflection or center of the figure. For every point in the figure, another point is found directly opposite to it on the other side.
According to the given question:
1. Reflection of point 1 over X axis (x, -y) ⇔ (x, y)
∴ Reflection of (-4, 2) over X axis is (-4, -2)
2. Reflection of point 2 over Y axis (x, y) ⇔ (-x, y)
∴ Reflection of (-2, 3) over Y axis is (2, 3)
3. Reflection of point 3 over x = 1
∴ Reflection of (-2, 1) over x = 1 axis is (2, 1)
4. Reflection of point 4 over y = x is (x, y) ⇔ (y, x)
∴ Reflection of (-1, 2) over X axis is (2, -1)
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necesito ayuda porfaa
From the equation, the value of m is 4
How to determine the value of m?The given parameter is
0.m1+ 0.m2 + 0.m3 = 11/14
Simplify this to have
m1 / 99 + m2 / 99 + m3 / 99 = 11/14
Simplify the equation further
( m1 + m2 + m3 ) / 99 = 11/14
⇒( m1 + m2 + m3 ) = 126
By multiplication we have
( 10 * m + 1 ) + ( 10 * m + 2 ) + ( 10 * m + ) = 126
Simplify to get
30 * m + 6 = 126
30 * m = 120
m = 4
Therefore the value of m is 4
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Translated question:
Please help, given that 0.m1 +0.m2 +0.m3 = 14/11, Find the value of m
Solve for xxx.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
4x+4\leq9x+84x+4≤9x+8
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
4x + 4 ≤ 9x + 84x + 4 ≤ 9x + 8
84x ≤ 4
x ≤ 1/21
x ≤ 0.05
Thus,
The value of x is less than or equal to 0.05.
x ≤ 0.05
What is inequality?
It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
4x + 4 ≤ 9x + 84x + 4 ≤ 9x + 8
Adding the like terms.
4x + 4 ≤ 93x + 4 ≤ 9x + 8
Subtracting 4 on all sides.
4x ≤ 93x ≤ 9x + 4
Subtracting 4x on all sides.
0 ≤ 93x - 4x ≤ 5x + 4
We can write it as,
89x ≤ 5x + 4
89x - 5x ≤ 4
84x ≤ 4
x ≤ 4/84
x ≤ 1/21
x ≤ 0.05
Thus,
The value of x is less than or equal to 0.05.
x ≤ 0.05
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At a real estate agency, an agent sold a house for $375,000. The commission rate is 6.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Answer: 35%
Step-by-step explanation:
Alex, an eighth grader, and Eric, a seventh grader, need to determine who came closer to their grade’s state record for the triple jump. Alex jumped 39.75 feet and
Eric jumped 37 feet and 1 1 inches. Who was closer to the state record if the 4
eighth-grade record is 42.25 feet and the seventh-grade record is 39 feet 3 inches?
The distance Alex jumped and the distance Eric jumped compared with the state records indicates that the magnitude of Eric's score was closer to their grades state record
What is the magnitude of a value?The magnitude of a value is the value itself, indicating the distance of the number from zero.
Alex is an eight grader
Eric is a seventh grader
The distance Alex jumped = 39.75 feet
The distance Eric jumped = 37 feet 11 inches
The eight grade record = 42.25 feet
The seventh grade record = 39 feet 3 inches
Each athlete distance jumped is compared with the record for the grade at which they jumped
The deviation of the distance jumped from the record scores are;
Alex's difference between distance jumped and the record = 39.75 - 42.25 = -2.5
The difference between the distance Eric jumped and the record = 37 feet + 11 inches - (39 feet + 3 inches) = -(1 feet + 4 inches)
-(1 feet + 4 inches) = -1.[tex]\overline 3[/tex] inches
The magnitude of the difference between the distance Eric jumped and the state record is smaller, therefore, Eric was closer to the state record
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Answer: I can confirm that Eric is closer!
Step-by-step explanation:
The points on this graph represent a relationship between - and y-values. Which
statement about the relationship is true?
It must be proportional because the points lie in a straight
line.
It cannot be proportional because the y-values are not
whole numbers.
(0,0)
CLEAR CHECK
It must be proportional because each time x increases by
2. y stays the same.
It cannot be proportional because a straight line through
the points does not go through the origin.
The graph cannot be proportional because y stays the same
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we can see that:
As x increases, the values of y remains unchanged
For the graph to be proportional, it must be a straight line that passes through the origin
And the variables must change
Hence, the true statement is the graph cannot be proportional
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HELPPP asapppp DUE SOONN
Using the parameters associated with the parabola and the formula for the equation using the focus and the focal diameter, The required equation is
[tex]x = \frac{-1}{62} (y+5)^{2}+ \frac{9}{2}[/tex] .
What is a parabola?A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.
What is focus and directrix of parabola?All points in a plane that are equally spaced out from a given point and a given line make up a parabola. The line is known as the directrix, and the point is known as the parabola's focus. The parabola's axis of symmetry is the subject of attention.
focus = (-11,5)
focal diameter =20
Required equation of parabola,
[tex]x = \frac{-1}{62} (y+5)^{2}+ \frac{9}{2}[/tex]
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49. Use the system of inequalities below to complete part A through part C.
3x + y >= - 1
2y - 4 > 3x
Part A) Graph the system of inequalities and shade the solution set.
Part B) Is the point (1, 3) a solution to the system? Why or why not?
Part C) Determine 3 points that ARE solutions to the system.
Part D) Determine 3 points that ARE NOT solutions to the system.
A. The system of inequality is plotted and the graph is attached
B. (1, 3) is not a solution because it does not satisfy the two equations
C. the three points that are solutions are
(-1, 3) (-1, 4) (1, 4)How to find the solutions of the system of the equationsSubstituting the given point into the two system of equation if it satisfies the equation then it is a solution
For (1, 3)
3x + y ≥ - 1
3 * 1 + 3 ≥ - 1
6 ≥ - 1 correct
2y - 4 > 3x
2 * 3 - 4 > 3 * 1
2 > 3 - wrong hence not a solution
For (-1, 3)
3x + y ≥ - 1
3 * -1 + 3 ≥ - 1
0 > -1 correct
2y - 4 > 3x
2 * 3 - 4 > 3 * -1
2 > -3 correct this is a solution
(-1, 4) and (1, 4) other solutions are deduced form the attached graph where two the two shaded points intersect
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