The quadrilateral's image points will be,A(3, 3) → A'(-3, 3) R(5, 7) → R'(-7, 5) M(7, 5) → M'(-5, 7) Y(5, 1) → Y'(-1, 5).
If a point (x, y) is rotated 180 degrees anticlockwise with respect to the origin, the rotational rule is:
(x, y) → (-y, x) (-y, x)
Consequently, the image point's coordinates following rotation will be (-y, x).
Using this guideline,
The quadrilateral's image points will be,
A(3, 3) → A'(-3, 3)
R(5, 7) → R'(-7, 5)
M(7, 5) → M'(-5, 7)
Y(5, 1) → Y'(-1, 5)
By graphing the image points we can get the graph of the image quadrilateral A'R'M'Y'.
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The question is incomplete, complete question:
Quadrilateral ARMY is rotated 180 degrees about the origin. Draw the image of this rotation.
The density function of the continuous random variable x, the total number of hours, in units of 100 hours, that a family runs a vacuum cleaner over a period of one year is given below: f(x) = { x, 0 < x < 1 8 − x, 1 ≤ x < 2 0, otherwise Find the average number of hours per year that families run their vacuum cleaners?
Answer:
1000 hours
Step-by-step explanation:
∫xf(x)dx = ∫x*xdx (1,0) + ∫x*(8-x)dx (2,1)
∫xf(x)dx = ∫x²dx (1,0) + ∫8x - x²dx (2,1)
∫xf(x)dx = ∫x²dx (1,0) + ∫8xdx (2,1) - ∫x²dx (2,1)
∫xf(x)dx = x³/3(1,0) + 8x²/2 (2,1) - x³/3(2,1)
∫xf(x)dx = 1/3 + 8(4/2 - 1/2) - (8/3 - 1/3)
∫xf(x)dx = 1/3 + 8(2-0.5) - (7/3)
∫xf(x)dx = 1/3 + 8(1.5) - 7/3
∫xf(x)dx = 1/3 + 12 - 7/3
∫xf(x)dx = - 6/3 + 12
∫xf(x)dx = - 2 + 12
∫xf(x)dx = 10
The average number of hours the family runs their vacuum cleaner in units of 100 hours
100 * 10 hours = 1000 hours
The integral 1 π(y2−y4) dy 0 represents the volume of a solid. Describe the solid.
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y2 and x = y4 around the x axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y2 and x = y4 around the y axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the x axis
O The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the y axis
The correct option is (d). The solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y2 around the y axis
The difference between the areas beneath the two curves that form a boundary is the area between the curves. You will then have the area between the two curves, or the difference, between them.
In the cartesian coordinate system, a plane is divided into four areas by the X-axis, a horizontal line, and the Y-axis, a vertical line. The term "quadrant" refers to these four areas.Use washer method:The washer method enables us to use cylindrical discs with holes to compute the volume of solids in a rotation.
As we have mentioned, the washer method is an extension of the disk method. This technique is established so that we can also calculate for the volume of the solid returned by rotating the region bounded by two curves over the x and y axis.[tex]$$\begin{aligned}& V=\int_a^b \pi\left(x_1^2-x_2^2\right) d y \\& =\int_0^1 \pi\left(y^2-\left(y^2\right)^2\right) d y \\& =\int_0^1 \pi\left(y^2-y^4\right) d y\end{aligned}$$[/tex]
Therefore, the solid obtained by rotating the region in the first quadrant bounded by the curves x = y and x = y² around the y axis.
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10. Find the degree of the monomial. 7m^6n^5
11
6
7
5
Answer:
(a) 11
Step-by-step explanation:
You want the degree of the monomial 7m^6n^5.
DegreeThe degree of a monomial is the sum of the exponents of its variables.
m has an exponent of 6
n has an exponent of 5
The degree is 6+5 = 11.
Jackson borrows $400 with an interest rate of 1.5%. How much interest will
he pay after 4 years?
Answer:
$80 in interest for four years. She has to pay back a total of $480
Step-by-step explanation:
)8th grade math, Pls help, will mark Brainliest (For the FIRST AND CORRECT answer)
*LOOK AT PICTURE*
A) 8.45 in
B) 3.125 in
C) 6.25 in
D) 62.5 in
The reputation of a city has been decreasing exponentially since 1990. In 1990, the population was 1,000,000. In 2010, the population was 560,000. If t represents time in years since 1990, which of the following equations
best models the decay of the population?
Answer:
i think you have to soleve that srry
Steven bought a video game that was on sale for 30 percent off of the original price. If
the original price of the video game was $29, what was the sales price of the game?
Find the value of x. The answer is 32 I just need help showing my work.
Answer:
Below.
Step-by-step explanation:
The line of length 48 = 1/2 of the baseline (3x) as the line 48 joins the midpoints of the 2 sloping sides.
1/2 * 3x = 48
multiply both sides by 2:
3x = 96
x = 32.
please help.....hhjkjvksksksjd
Answer:
the graph's slope-intercept is 3 or 3/1. you do this by finding the rise over run (how many squares does it go up, and how many does it go over).
The Y-intercept is -2. You can always find this by using the formula y= mx + b. Whatever number is in the place of "b" is the y-intercept.
I'm going to take a guess and say you're in Algebra 1. Either that or Pre-Algebra. This stuff took me a little while to full grasp, so don't worry! YOu'll understand it soon enough!
What is the sum of the measures of the exterior angles of the polygon shown below if necessary round to the nearest 10th
Answer:
24
Step-by-step explanation:
Number of sides = 15 (counted and it was a pain the a*s)
The total measure of the exterior angle = 360
= 360/15
= 24 degree
Each angle is measured 24 degree
The sum of the exterior angles of the polygon shown in the image is: 360°.
What is the Sum of Exterior Angles of a Polygon?Regardless of the number of sides or angles a polygon has, the sum of exterior angles of any polygon is always 360 degrees.
Thus, the polygon given has 15 sides, however, the sum of all its exterior angles will still give 360 degrees.
Therefore, the sum of the exterior angles of the polygon shown in the image is: 360°.
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A company makes 120 bags.
28 of the bags have buttons but no zips.
41 of the bags have zips but no buttons.
23 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?
Answer:
7/15
Step-by-step explanation:
You have 120 bags. 64 of them in total do not contain buttons.
120 - 64 = 56
You have 56 bags with buttons. The simple answer is,
56/120
You can simplify this down to 7/15
If you're looking for percent, the answer is 46.67%
There are 90 kids in the band. 20% of the kids own their own instruments, and the rest rent them how many kids own their instruments how many kids rent their instruments and what percentage of kids rent their instruments?
Answer: 80% rent or 72 students
Step-by-step explanation:
20 percent of 90 is 18
So 18 kids own instruments
100-20=80%
So 80% of kids do rent instruments
Or
18x4= 72 kids rent
How many minutes after Caylan puts the tray in the oven will he first remove the scones, muffins, and cookies at the same time
Answer:
60 minutes
Step-by-step explanation:
Here is the complete question
Caylan is making baked goods for a charity bake sale. He places a tray of scones, a tray of muffins, and a tray of cookies in the oven. The scones bake for 15 minutes, the muffins bake for 12 minutes, and the cookies bake for 10 minutes. When one tray is done, he removes it and replaces it with another tray of the same item. How many minutes after Caylan puts the trays in the oven will he first remove the scones, muffins, and cookies at the same time? ? minutes
The multiples for scones = 15 = 3,5
The multiples for muffins = 12 =2, 2,2,3
The multiples for cookies = 2, 5
Lowest common multiple = 2 x 2 x 3 x 5 = 60 minutes
to determine the time , calculate the lowest common multiple of 12, 15 and 10
Answer:
60 - This is due to the times of each and what time you would take them out.
Can anyone help explain this math equation like I gotta turn this math in by midnight tonight!! I will give brainlist btw!!
Answer: 1) 288 inch^3
2) 960 inch^3
3) 188 cm^3
4) 44 inch^3
5) 396 ft^3
6) 552 inch^3
Step-by-step explanation:
1) (2*3)(3*2)(2*4)=288 inch^3
2) (4*5)(4*3)(4*1)=960 inch^3
3) 4*4*8+3*4*5=188 cm^3
4) 2*2*8+2*6*1=44 in^3
5) 4*6*6+6*6*7=396 ft^3
6) 8*6*10+4*3*6=552 in^3
How do you choose which variable to eliminate when doing elimination method?
Choose the variable whose numerical coefficients are smaller or have a smaller common multiple.
What is Elimination Method ?In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.
Elimination Method for a System of EquationsPut the two equations in standard form.Alternate the coefficients of one variable.To remove one variable, add the equations produced by Step 2.Find the solution for the last variable.Fill in one of the original equations with the solution from Step 4.Elimination has less steps than substitution. Elimination reduces the possibilities of mistakes as compared to other methods. Elimination is quicker.To learn more about Elimination Method refer to :
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In ΔABC, M∠A = 56°and M∠B = 73°. what is M∠C?
Answer:
51
Step-by-step explanation:
triangles equal to 180, 56+73+51 equals 180 :)
brainliest pls
Answer:
m∠C = 51°
Step-by-step explanation:
By definition of interior angles of a triangle, the ∑ΔABC's interior angles = 180°.
It is given that m∠A = 56° & m∠B = 73°. Set the equation:
56 + 73 + m∠C = 180
First, combine like terms:
(56 + 73) + m∠C = 180
m∠C + 129 = 180
Next, isolate the term, m∠C. Note the equal sign, what you do to one side, you do to the other. Subtract 129 from both sides:
m∠C + 129 (-129) = 180 (-129)
m∠C = 180 - 129
m∠C = 51°
51° is your answer for m∠C.
~
For what value of n is n-2] + 2 equal to 0?
Answer:
n=0
Step-by-step explanation:
0 - 2 = -2
-2 + 2 = 0
Can someone help me with section b please and thank you
ine segment SU is dilated to create S'U' using point Q as the center of dilation. The scale factor of the dilation is
The scale factor of the dilation is 2. An expansion happens when the scaling factor's absolute value exceeds one.
What does a scale factor mean when defining dilation?The scale factor is defined as the proportion of the new image's size to that of the previous image. A fixed location in the plane serves as the center of dilatation. The scale factor and the center of dilation are used to determine the dilation transformation. The image stretches if the scaling factor is greater than 1.
As per the rule of scale factor
Q'U'/QU = SF
SF= Scale factor
= (5+5)/5= Scale factor
= 10/5= 2
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What is the value calculator?
A value calculator is a tool used to help assess the worth of an asset or investment.
The value calculator is designed to help individuals and businesses determine whether an asset or investment is a good value. The calculator takes into account various types of data, such as the current market value, expected future value, and any associated risk factors.
This data is then used to calculate the present value, which is the amount of money an asset or investment is worth today. The calculator also takes into account inflation and other factors that could affect the current value of the asset or investment.
The value calculator can be used to help individuals and businesses make informed decisions about their financial investments.
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On a negatively skewed curve, which is true?
The statistical model is not good, and this is true for a negatively skewed curve.
What means negatively skewed curve?It is a statistical term implies that a curve is skewed at the left side.
In a statistical data for a certain distribution, we can get a negatively skewed curve when most of the data values are located on the right side of the distribution graph. The high concentration of values on the right side of distribution curve forms a long tail in the negative direction.
Which is true for negatively skewed curve?In general, negatively skewed curve is not good because it expresses the tendency of left tail events. Negatively skewed curves indicate a poor return from an investment. That means a person might be earn lower or no profit from his business. In case of an exam scores, negative skewed data value implies the question was too easy to perform better than usual.
In a word, left skewed or negatively skewed curve or data values inform us to be aware about the current statistical model and inspire us to take proper steps for wellbeing.
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4r= -36
-72
-40
-9
9
Answer:
4r=-36
-36/4=r
-9=r
Therefore
r=-9
Answer: r=−9
Step-by-step explanation: Hope this help :D
Let's solve your equation step-by-step.
4r=−36
Step 1: Divide both sides by 4.
4r/4=−36/4r
=−9
Write a rule to calculate 1% of any number
helppp PLEASEE !!! lol
Answer:
3.14 x 3.8^2 = 45.3416
* find the surface area
hope this helped
Step-by-step explanation:
Answer:
if your going by 3 as pie you would do this:
Step-by-step explanation:
3*3.8*3.8=43.32
Terry is making 5 hat and scarf sets. Each scarf requires 3 yards of material and each hat requires 18 inches of material. How many feet of material does he need for all 5 hat and scarf sets?
Please help ASAP ....
Answer:
21 3/4
Step-by-step explanation:
3 times 7 1/4 since the scale is 1:7 1/4. Good luck!! :)
What do () mean in math?
Parentheses are employed to indicate changes to the usual order of operations.
Define round brackets.The well-known () symbols, often known as "round brackets," are used in pairs to group things together or designate the order of operations in an equation. You will frequently need to employ brackets in math when forming or resolving equations. They support number grouping and operation definition.
Mention other brackets as well.{}, [] are other type of brackets.
In mathematical expressions, parentheses are employed to indicate changes to the usual order of operations (precedence rules). In an expression like, the portion of the expression enclosed in parentheses,, is first assessed, and the outcome is then incorporated into the remaining portions of the expression.
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5. Name all the angles that correspond to angle 6 in the drawing
below.
Determine the missing angle measure.
Answer:
Step-by-step explanation:
Since you already know that one of the angles is 21 degrees, this helps you A LOT. In total the line is 180 degrees so to find x you just do 180-21 which equals 159
x+ 159 degrees