Which type of transformation maps trapezoid PQRS onto trapezoid P'Q'R'S'?
reflection
rotation
translation
dilation
Answer: Dilation.
Step-by-step explanation:
From the given picture , it can be seen that the size of trapezoid P'Q'R'S' is decreased from trapezoid PQRS .
Reflection , rotation and translation are rigid motions that produces congruent images and do not change the size of the shapes.
But dilation is not a rigid motion because it changes the size of the shape by using a scale factor.
Hence, the transformation maps trapezoid PQRS onto trapezoid P'Q'R'S' is "Dilation".
I need help checking my work. MEDALS!!! will be awarded. I chose C.
Kidneys process nitrogenous wastes by
A) seperating water from nitrogenous wastes by passive diffusion.
B) using cells to actively pump water across a membrane.
C) storing the wastes as uric acid until they can be eliminated.
D) pumping ions across membranes to separate water from waste products.
Which of the following is a radical equation?
Answer:
D) [tex]7\sqrt{x} = 14[/tex]
Step-by-step explanation:
If x is under a radical symbol, then it is called radical equation.
For example, [tex]\sqrt{x} = 2[/tex]
[tex]\sqrt{x-2} = 5[/tex]
From the given equations, we have to find in which equation x under radical.
x + [tex]\sqrt{5} = 12[/tex], here x is not under radical.
[tex]x^{2} = 16[/tex], here also x is not under radical.
3 + x√7 =13, here x is not under radical
7[tex]\sqrt{x} = 14[/tex]
Here x is under the radical symbol.
Therefore, the answer is [tex]7\sqrt{x} = 14[/tex]
Find the reduced odds for and the reduced odds against the event of rolling a fair die and getting a 2, 4, or 5 odds for: to odds against: to
Reduced odds for rolling a 2, 4, or 5: 1:1
Reduced odds against rolling a 2, 4, or 5: 1:1
To determine the reduced odds for and against rolling a 2, 4, or 5 on a fair six-sided die, we need to calculate the probabilities of these events.
Step 1: Calculate the probability of rolling a 2, 4, or 5.
There are three favorable outcomes (rolling a 2, 4, or 5) out of a total of six possible outcomes.
[tex]\[ P(\text{rolling a 2, 4, or 5}) = \frac{3}{6} = \frac{1}{2} \][/tex]
Step 2: Calculate the probability of not rolling a 2, 4, or 5.
There are three unfavorable outcomes (rolling a 1, 3, or 6) out of a total of six possible outcomes.
[tex]\[ P(\text{not rolling a 2, 4, or 5}) = \frac{3}{6} = \frac{1}{2} \][/tex]
Step 3: Calculate the odds for rolling a 2, 4, or 5.
Odds for an event are given by the ratio of the number of favorable outcomes to the number of unfavorable outcomes.
[tex]\[ \text{Odds for rolling a 2, 4, or 5} = \frac{\text{Number of favorable outcomes}}{\text{Number of unfavorable outcomes}} = \frac{3}{3} = 1:1 \][/tex]
Step 4: Calculate the odds against rolling a 2, 4, or 5.
Odds against an event are given by the ratio of the number of unfavorable outcomes to the number of favorable outcomes.
[tex]\[ \text{Odds against rolling a 2, 4, or 5} = \frac{\text{Number of unfavorable outcomes}}{\text{Number of favorable outcomes}} = \frac{3}{3} = 1:1 \][/tex]
Therefore, The reduced odds for and the reduced odds against the event of rolling a fair die and getting a 2, 4, or 5
Reduced odds for rolling a 2, 4, or 5: 1:1
Reduced odds against rolling a 2, 4, or 5: 1:1
Which of the following best describes an unpredictable event
A. The outfit a person will wear on a particular day 3 years from now
B. The moment a car runs out of gasoline
C. The grade a student gets in a class on a final report card
D. The amount of money in a savings account
The graph of y = 12x2 will be more narrow than the graph of the parent function, y = x².
Question 2 options:
True
False
The quadratic function shown can be written in the form y = ax². Determine the equation of the quadratic function.
Question 4 options:
y = x²
y = -x²
y = 2x²
y = -2x²
Convert 302 inches to yards
A parking lot space is in the shape of a rectangle. If the space has a length of 23 feet and a width of 12 feet, what is the area of the parking space?
Given is a parking space in the shape of rectangle with length = 23 feet and width = 12 feet. It says to find the area of parking lot.
We know the formula for area of rectangle is given by :-
Area = Length x Width
We can plug the given values in the above formula and find the answer.
Area = 23 feet x 12 feet
Area = 276 squared feets
So the area of parking space would be 276 squared feets.
Hence, final answer is 276 squared feets.
an elephant in an african wildlife perserve is 59.3 years old the table shows some students estimates for the elephants age who correctly rounded the age of the elephants to the nearest year
What is the value of x? Enter your answer in the box. x = A triangle with midsegment parallel to the base. the left side is labeled 72 cm below the midsegment and 9 cm above the midsegment. the right side is labeled 56 cm below the midsegment and 3 x minus 20 above the midsegment.
An isosceles triangle with angles measuring 50°, 50°, and 80° undergoes a translation, rotation, and reflection.
Determine whether the angle measures of the image of the triangle are 50°, 50°, and 80° after each transformation.
Select Yes or No for each transformation.
{Translation}
Yes?
or
No?
{Rotation]
Yes?
or
No?
{Reflection}
Yes?
or
No?
For the isosceles triangle undergoing transformations, the angle measures will change for translation but remain the same for rotation and reflection.
No for Translation because translations do not change angle measures.
Yes for Rotation because rotations preserve angle measures.
Yes for Reflection because reflections preserve angle measures.
Marta is making 3 servings of fruit salad.she adds 3/8 cup blueberries for each serving.her measuring cup holds 1/8 cup.how many times must Marta measure 1/8 cup of blueberry to have enough for the fruit salad?
Jerry solved the system of equations.
X-3y= 1
7x+2y=7 As the first step, he decided to solve for y in the second equation because it had the smallest number as a coefficient. Max told him that there was a more efficient way. What reason can Max give for his statement?
Answer:
A: The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.
Step-by-step explanation:
I got it right on Edge
The value of x and y is 1 and 0 for the given system of equations.
And, the reason Max gives for his statement that " the variable x in the first equation has coefficient of one so there will be fewer steps to the solution".
What is system of equations?A system of equations is a set of two or more equations with the same variables. A solution to a system of equations is a set of values for the variable that satisfy all the equations simultaneously.
What is substitution method?The substitution method can be defined as a way to solve a linear system algebraically. In this method we substitute one y-value with the other. To put it simply, the method involves finding the value of the x-variable in terms of the y-variable.
According to the given question.
We have system of equations.
x - 3y = 1
and 7x + 2y = 7
To solve the above system of equations we use substitution method.
Since, the first the corffeficient of x in first equation is 1. So we will use the value of x of equation x -3y = 1 to substitute in second equation. Because it require fewer steps to get the solution.
So,
From x - 3y = 1
We cay say that
x = 1 + 3y
Substitute the value of x in 7x + 2y = 7.
⇒ 7(1 + 3y) + 2y = 7
⇒ 7 + 21y +2y = 7
⇒ 7 + 23y = 7
⇒ 23y = 7-7
⇒ 23y = 0
⇒ y = 0
Again susbstitute the value of y in x =1 + 3y.
⇒ x = 1 + 3(0)
⇒ x = 1
Hence, the value of x and y is 1 and 0 for the given system of equations.
Therefore, the reason Max gives for his statement that " the variable x in the first equation has coefficient of one so there will be fewer steps to the solution".
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Donnie is solving the equation 2x2=27+3x with the quadratic formula. Which values could he use for a, b, and c? a = 2, b = −3 , c = −27 a = 2, b = −27, c = −3 a = 2, b = 3, c = 27 a = 2, b = 27, c = 3
The given equation is :
[tex] 2x^{2} =27+3x [/tex]
Now let us write it in standard form:
[tex] 2x^{2} -3x-27=0 [/tex]
Comparing it with general standard form:
[tex] ax^{2} +bx+c=0 [/tex]
So we have a=2, b=-3 and c=-27
First option is correct answer .
Quadrilateral ABCD is inscribed in a circle.
What is the measure of angle A?
Enter your answer in the box.
m∠A=
°
The answer is m∠A= 135°
For each babysitting job, ashley charges $2.50 for bus fare plus $8 per hour for each hour she works. she charged $30.50 for her last babysitting job.
a. write a linear equation to represent the problem. be sure to define the variable you choose. __________
Variable: h = hours worked
linear equation: 30.50 = 2.50 +8h
A standard number cube is rolled two times. What is the probability that the sum of the two rolls is 13?
Match the reasons with the statements in the proof.
Given: c | | d, m 4 = m 5
Prove: m 7 = m 8
1. c||d, m∠4=m∠5
Substitution
2. m∠4 = m∠7
Vertical angles are equal.
3. m∠5 = m∠8
If lines ||, alternate interior angles are equal.
4. m∠7 = m∠8
Given
Answer:
Step-by-step explanation:
Given: c is parallel to d and ∠4=∠5.
To prove: ∠7=∠8
Proof:
Statement Reason
1. c║d, ∠4=∠5 Given
2.∠4=∠7 If lines ||, alternate interior angles are equal.
3.∠5=∠8 Vertical angles are equal
Since, ∠4=∠5, therefore ∠7=∠8
4.∠7=∠8 Substitution
The volume of right circular cylinder a is 22 cubic centimeters. what is the volume, in cubic centimeters with twice the radius and half the height?
To find the volume of the new cylinder with twice the radius and half the height, use the formula for the volume of a cylinder and substitute the new values. The volume of the new cylinder is also 22 cubic centimeters.
Explanation:To find the volume of the new cylinder with twice the radius and half the height, we can use the formula for the volume of a cylinder: V = πr2h.
First, we double the radius of the original cylinder. Let's say the original radius is r. The new radius would be 2r.
Next, we halve the height of the original cylinder. Let's say the original height is h. The new height would be h/2.
Substituting these values into the volume formula, we get the volume of the new cylinder as V = π(2r)2(h/2)=4πr2(h/2)=2πr2h.
So, the volume of the new cylinder is also 22 cubic centimeters.
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A line has a slope of 0 and passes through the point
(7, 7). What is its equation in slope-intercept
form?
The equation of a line in slope-intercept form is [tex] y=mx+c [/tex].
Where [tex] m [/tex] is slope and [tex] c [/tex] is y-intercept.
Since [tex] m=0 [/tex], the equation of the line is [tex] y=(0)x+c\\ y=c [/tex].
Since this line passes through [tex] (7,7) [/tex]. The equation of the line is
[tex] y=7 [/tex]
The equation of a line in slope-intercept form is y=mx+c .
Where m is slope and c is y-intercept.
Since m=0 , the equation of the line is y=(0)x+c\\ y=c .
Since this line passes through (7,7) . The equation of the line is
y=7
What is the cosecant of angle y?
The cosecant of angle y is z/y.
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
Hypotenuse = z
Perpendicular = y
Base = x
As, Cosecant is the ratio of Hypotenuse to perpendicular
Using Trigonometry
cos y = H/ P
cos y = z/ y
Hence, the cosecant of y is z/y.
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What is the vertex form of y=-2x^2-8x+10? Give the coordinates of the vertex, state if there is a minimum or maximum, and find the equation of the line of symmetry.
This is for Algebra 2 regular.
HELP HELP HELP PLEASE!!!!!
What is the area of this polygon?
Answer: 35.5 [tex]unit^2[/tex]
Step-by-step explanation:
For finding the area of this polygon we can divide it into triangles and rectangle,
By the below diagram,
The area of this polygon = Area of rectangle having dimension 4× 3 + Area of triangle having base 4 unit and height 3 unit +Area of triangle having base 7 unit and height 3 unit + Area of triangle having base 7 unit and height 2 unit,
=[tex]12 + \frac{1}{2}\times 4\times 3 + \frac{1}{2}\times 7\times 3 + \frac{1}{2}\times 7\times 2[/tex]
= [tex]12 + 6 + 10.5 + 7[/tex]
= [tex]35.5\text{ square unit}[/tex]
factor this polynomial 3y-6x+4xy-2y^2
In July 2010 there were approximately 500 million Facebook users. In July 2011 there were approximately 750 million Facebook users. How many more users were there in 2011. Write your answer in scientific notation
Red and gray bricks were used to build a decorative wall. The number of red bricks number of gray bricks was Start Fraction 5 over 2 End Fraction . There were 175 bricks used in all. How many red bricks were used?
Final answer:
To find the number of red bricks used, the ratio 5:2 is represented as 5x:2x. Solving the equation 7x = 175 gives x = 25. Multiplying this by 5, there were 125 red bricks used.
Explanation:
The question asks us to find the number of red bricks used to build a wall when the ratio of red bricks to gray bricks is 5:2 and there were 175 bricks used in total. To solve this, we set up the ratio 5x:2x where 'x' represents the multiplier for the number of bricks, and the sum of red and gray bricks which is 5x + 2x equals the total number of bricks, 175.
First, we combine like terms: 5x + 2x = 7x. Next, we solve for 'x' by dividing both sides of the equation by 7.
7x = 175
x = 175 / 7
x = 25
We then multiply this value by 5 to find the number of red bricks: 5 * 25 = 125.
Therefore, 125 red bricks were used to build the wall.
Paul has a coupon for $2.50 off a box of name brand cereal that normally costs $12.78 the store brand cereal costs $10.98 how much will Paul save if he uses his coupon and buys the name brand cereal instead of the store brand cerial
Solve this problem. Find the number of gallons of paint needed to cover all four sides four sides) of the building shown with two coats of paint if one gallon covers 350 square feet. Disregard windows and doors. Round to the nearest gallon.
Answer: the answer is 3 gallons of paint is required to paint the building.
Step-by-step explanation:
The area to be painted is:
= 2× [Area of Rectangle with dimensions 20 ft.×10 ft.+Area of triangle with height 5 ft. and base 20 ft.+Area of rectangle with dimensions 24 ft. and 10 ft.]
=2×[20×10+(1/2)×5×20+24×10]
=2×[200+50+240]
=2×490
=980 square ft.
Hence, the area to be painted=980 square feet.
Now, amount of paint require to cover 350 square feet=1 gallon.
i.e. 1 square feet requires=1/350 gallon of paint.
⇒ 980 square feet requires=980/350=2.8 gallons of paint.
Hence, to the nearest gallon we could say that:
3 gallons of paint is required to paint the building.
Write a real world problem that you would represent with the equation 4x+5=37.
Each interior angle of a regular hexagon is 4x+24°. What is x?