The Polygon ABCD was reflected across the x axis, followed by a reflection across the line y = x to form polygon A'B'CD'.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
The Polygon ABCD was reflected across the x axis, followed by a reflection across the line y = x to form polygon A'B'CD'.
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At birth, one puppy weighs 15/16 pounds. A second puppy weighs 1 and 1/8 pounds. How much more did the second puppy weigh?
Answer:
3/16 pounds more.
Step-by-step explanation:
It is 1 1/8 - 15/16
= 9/8 - 15/16
= 18/16 - 15/16
= 3/16.
Select the correct answer. consider this absolute value function. if function f is written as a piecewise function, which piece will it include?
x + 3, x > -3 is the piece which will be included in the given function f(x) = [ x + 3 ]. This can be obtained by removing modulus and finding the value for x.
Which piece will the function include?Given that,
f(x) = [ x + 3 ] which is an absolute value function.
Therefore,
| x+3 | > 0
By removing the modulus,
x+3 > 0
x > - 3
Hence x + 3, x > -3 is the piece which will be included in the given function f(x) = [ x + 3 ].
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Disclaimer: The question was given incomplete on the portal. Here is the complete question.
Question: Consider this absolute value function.
f(x) = [ x + 3 ]
If function f is written as a piecewise function, which piece will it include?
A. x + 3, x > 3
B. x + 3, x > -3
C. -x + 3, x < -3
D. -x - 3, x < 3
Answer:
The Answer is C. X+3, x > -3
for edmentum users
Step-by-step explanation:
A roll of aluminum for you measure 76.2 m long by 304 m wide what is the length in millimeters
Answer:
76,200 mm
Step-by-step explanation:
1 meter = 1000 mm, by definition. Make that a conversion factor:
(1 meter)/(1000 mm), or (1000 mm)/(1 meter). Both are equal to 1, since 1 meter = 1000 mm. We can multiply anything by 1, so take the original measurement of length of 76.2 meters, and multiply it by (1000 mm)/(1 meter).
(76.2 meters)*((1000 mm)/(1 meter)) = 76,200 mm. The meters cancels, leaving just mm, the desired unit.
The product of the proper positive integer factors of $n$ can be written as $n^{(ax b)/c}$, where $x$ is the number of positive divisors $n$ has, $c$ is a positive integer, and the greatest common factor of the three integers $a$, $b$, and $c$ is $1$. What is $a b c$
The value of a + b + c based on the product formula is 8.
How to calculate the value?From the information given, the product of the proper divisor is illustrated.
Based on the information, the addition of the symbols will be:
= a + b + c
= 3 + 3 + 2
= 8
In conclusion, the correct option is 8.
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If AD BD, which of the following relationships can be proved and why?
B
OA. AACD ABCD, because of AS.
OB. AACD ABCD, because of ASA.
OC. There is not enough information to prove a relationship.
D. AACD ABCD, because of SAS.
IfIf AD BD, the following relationships that can be proved and why is: D. ΔACD ΔBCD, because of SAS.
Relationship that can be proved if AD=BDThe relationship that can be proved is ΔACD ΔBCD, because of SAS.
The reason is that m<CDA=M<CDB=90°
CD=CD
AD=BD
Hence, ΔACD=ΔBCD because of SAS. SAS congruence can tend to be proved when the length of the two side correspond and when the angle between the two side is equal.
Therefore the correct option is D.
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Myron put $5000 in a 5 year CD paying 3% interest compounded monthly. After 2 years he withdrew all his money and as an early withdrawal penalty he paid back all the interest he made during the first year. How much money was Myron left with
Answer:
$7128.80
Step-by-step explanation:
First, create an equation.
Use the formula f(t)=P(1+b)^t
Plug in the information.
Time will equal months.
f(12)=5000(1+0.03)^12
Solve.
f(12) = 7128.80
Myron was left with $7128.80.
Hope this helps!
What do you do in calculus?
Answer:
In math, calculus deals with the finding and properties of derivatives and integrals of functions, by methods originally based on the summation of infinitesimal differences. The two basic types of calculus are differential calculus and integral calculus.
Step-by-step explanation:
hope it helps
sorry if I'm wrong
I need help with cancelling units
the trick being, you flip the ratio as needed, hmmm in this case we want 750 oz converted to lbs, so hmmm we'd want to cancel out the "oz" part and only leave the "lbs" part,
[tex]750~~~\begin{matrix} oz \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~\cfrac{1lbs}{16~~\begin{matrix} oz \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{750}{16}lbs\implies 46.875lbs[/tex]
notice, to cancel out the "oz", we placed the 16 at the bottom.
It takes the pit crew 15 seconds to change a
tire. How long is this in minutes?
Answer:
Hey there :) The answer is 0.25 minutes.
Step-by-step explanation:
1 minute = 60 seconds
So, 15 ÷ 60 = 0.25 minutes
To get 14 liters of antifreeze solution, how much do i need to add to x liters of the solution?
To get 14 liters of antifreeze solution, add 14 - x liters of the solution
Calculating volumeFrom the question, we are to determine how many liters should be added to the solution
From the given information,
We are to get 14 liters of antifreeze solution,
and
we already have x liters of the solution
To get 14 liters of antifreeze solution, we will add 14 - x liters of the solution
Hence, to get 14 liters of antifreeze solution, add 14 - x liters of the solution
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Determine the coordinates of the point p on the line y=-x+6 such that p is equidistant from the points a(10,-10) and o(0,0) (that is, so that pa=po). express your answer as an ordered pair (a,b).
Solution,
Let P = ( x, -x + 6) = (x, 6 - x)
We want to solve this
( Distance from P to (0,0) )^2 = (Distance from P to (10, -10) )^2
x^2 + (6 - x)^2 = [ ( x - 10)^2 + ( 6 - x + 10)^2
x^2 + x^2 - 12x + 36 = x^2 - 20x + 100 + x^2 - 32x + 256 simplify
-12x + 36 = -52x + 356
40x = 320
x = 8
And y = -(8) + 6 = -2
So...P = ( 8, -2)
In mathematics, an equation is an equation that expresses two equations by joining them with an equal sign =. Equations in other languages and the word their relatives can have slightly different meanings; for example, in French, an equation is defined as containing one or more variables, but in English, it is an equal sign.
A well-formed expression consisting of two combined equations is an equation, and a variable makes the equation true. The variable for which the equation must be solved is also called the unknown, and the value of the unknown that satisfies the equation is called the solution of the equation. There are two types of equations: identities and constraint equations. The ID applies to all values of the variable. Constraint equations apply only to specific values of variables
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In which diagram do angles 1 and 2 form a linear pair?
2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.
3 lines extend from a point and form 2 angles, labeled 1 and 2. Both angles add up to 90 degrees.
A horizontal line has 2 lines extending from a midpoint forming 3 angles. Labeled from left to right: 1, 2, 3.
A horizontal line has 1 line extending from it. Angles 1 and 2 are formed.
Mark this and return
The diagram where angles 1 and 2 form a linear pair is D. A horizontal line has 1 line extending from it. Angles 1 and 2 are formed.
What is a linear pair?It should be noted that a linear pair simply means angles that are formed when two lines intersect each other at a single point.
In this case, when a horizontal line has 1 line extending from it. Angles 1 and 2 are formed. This depicts a linear pair
In conclusion, the correct option is D.
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7. The table below shows the soft drinks preferences of people in two age groups.
Sprite
Lemonade
20
30
50
Under 21 years of age
Between 21 and 40
Totals
25
35
60
If one of the 110 subjects is randomly selected, find the probability that:
a) A person prefers to drink sprite
b) A person is between 21 and 40 years old.
c) A person drinks lemonade given they are between 21 and 40.
d) A person drinks Sprite given they are under 21 years of age.
Totals
45
65
110
The calculated probabilities are
0.54550.59090.46150.5556a. The probability of the people that prefer sprite isProbability = 60/110
= 0.5455
B. The probability that a person is between 21 and 40probability = 65/110
= 0.5909
C. Probability of drinking lemonade given that age is between 21 and 40Probability = 30/65
= 0.4615
d. Probability of sprite when under 2125/45
= 0.5556
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.
An ant is standing at the centers of a perfectly circular plate. If the ant crawled in a straight line, he would have to crawl 6 inches to reach the edge of the plate. How many inches would he crawl if he crawled a full circle around the edge of the plate?
The length around the circular edge of the plate is 37.68 inches
How to find the circumference of a circle?The circumference of a circle can be solved as follows:
The ant is standing at the centre of a perfectly circular plate and it walks to the edge of the plate .
The centre of the plate to the edges is 6 inches. Therefore, the radius of the circular plate is 6 inches.
Hence, the distance around the edge of the plate is the circumference of the plate.
Therefore,
circumference of the circular plate = 2πr
circumference of the circular plate = 2 × π × 6
circumference of the circular plate = 12π
circumference of the circular plate = 12 × 3.14
circumference of the circular plate = 37.68 inches
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Que tanto por ciento es 20 de 80
Answer:
Step-by-step explanation:
40 por ciento
A man leaves home at 22:15 hours and reaches his destination at 04:00 hours on the following day. how many hours did the journey take?
Answer,
Leaves from home=22:15hour
get to destination=4:00hour
time taken on a journey,
from time 22:15hour to 24:00hour=2:45hour and,
time is taken form 22:00hour to 4:00hour=4:00hour
So, the total time taken to reach the destination is 2:45+4:00=6:45hour
Latoya, Kevin, and Milan have a total of $117 in their wallets. Milan has 4 times what Latoya has. Latoya has $9 less than Kevin. How much do they have in
their wallets?
Answer:
Step-by-step explanation:
Let Kevin have x dollars. Then Latoya has x - 9 dollars and Milan has 4(x - 9) dollars.
x + (x-9) + 4(x-9) = 177
7x - 40 = 177
7x = 217
x = 31
Kevin has $31
Latoya has 31 - 9= $22
Milan has 4*24 = $96
The two-way frequency table below shows data on playing a sport and playing a musical instrument for students in a class.
Complete the following two-way table of row relative frequencies.
(If necessary, round your answers to the nearest hundredth.)
Here is the completed table:
Plays a sport Doesn't play a sport
Plays a musical instrument 0.46 0.54
Doesn't play a musical instrument 0.73 0.27
What are the row frequencies?
Relative frequency measures how often a value appears relative to the sum of the total values.
Plays a sport Doesn't play a sport
Plays a musical instrument (6/13) = 0.46 (7/13) = 0.54
Doesn't play a musical instrument (8/11) 0.73 (3/11) =0.27
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can someone please help me with this problem?
If AH=13mm, A F=15mm, and FC=37mm, what would be the distance between A and D? Round your answer to two decimal places if necessary.
The measure of segment AD in the similar triangle is 45.07 mm
What are similar triangles?Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. Also, their corresponding angles are congruent.
Triangle FEA and triangle ABC are similar triangles by the angle angle similarity postulate, therefore:
13/AD = 15 / (15 + 37)
AD = 45.07 mm
The measure of segment AD in the similar triangle is 45.07 mm
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How many of the 960 dvd players were repaired in the first year
if you get the right answer you get a 20k gaming setup
(D) 200 DVD players were repaired in the first year.
What are DVD players?A DVD player is a device that plays DVDs that adhere to both the DVD-Video and DVD-Audio technical standards, which are incompatible. Some DVD players are also capable of playing audio CDs.Given:
The DVD player shipped 960 players last month
There is a record that out of every 24 players, the 5 would be repaired.
So we need to find the number of DVD players that were repaired in these 960 players.
So,
[tex]\frac{960*5}{24} \\=200[/tex]
Therefore, (D) 200 DVD players were repaired in the first year.
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The question you are looking for is here:
A DVD player manufacturer shipped 960 DVD players last month. According to the manufacturer's records, 5 out of every 24 players were repaired during the first year of ownership. How many of the 960 DVD players were repaired in the first year?
A: 40
B: 120
C: 192
D: 200
Take some time to fill in your notes, the area that is not shown in this video. Fill in the table with the values you think are the x-values and the y-values, write them as ordered pairs, then write them as a ratio in y/x form. In the table, which are the y-values and which are the x-values [Time(s) or Heartbeat(s)]?
The x-values are the heartbeat(s) and the y-values are the time(s)
How to determine the x and y values?The variables are given as:
Time(s) and Heartbeat(s)
As a general rule, the action that is being done is the independent variable.
The action here is the heartbeat.
So, the x-values are the heartbeat(s) and the y-values are the time(s)
A possible value of this is;
x = 100, y = 60 seconds
So, the ordered pair is (100,60)
When represented as ratio, we have;
Ratio = 60/100
Simplify
Ratio = 0.6 heartbeat per second
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Six pyramids are shown inside of a cube. The height of the cube is h units. Six identical square pyramids can fill the same volume as a cube with the same base. If the height of the cube is h units, what is true about the height of each pyramid
The height of squared pyramid is [tex]\frac{1}{3}h[/tex] unit.
What is the volume of a cube?A cube is a solid three-dimensional object with six square faces or sides, three of which meet at each vertex. One of the five Platonic solids, the cube is the only regular hexahedron. It contains 8 vertices, 6 faces, and 12 edges.
Volume of cube [tex]= (side)^3 \ unit^3[/tex]
Given the height of cube is [tex]h[/tex] unit.
Volume of cube is [tex]h^3 \ unit^3[/tex]
Let the height of squared pyramid is [tex]x[/tex] unit
Volume of squared pyramid is [tex]\frac{1}{3} h^{2} \times x \ unit^3[/tex]
According to the question, we have
Volume of cube = [tex]6 \times[/tex] volume of squared pyramid
[tex]\Rightarrow h^3=6 \times \frac{1}{3}h^2 \times x\\\Rightarrow h^3=2 \ h^2 \times x\\\Rightarrow h=2x\\\Rightarrow x= \frac{1}{2}h[/tex]
Therefore, the height of squared pyramid is [tex]\frac{1}{3}h[/tex] unit.
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The function has three factors. Two of these factors
are and Determine the values of a and b, and then determine the
other factor.
The values of a and b will be -2 and 22 while the other factor in the function is x - 3/2.
How to illustrate the function?The function is given as:
f(x) = ax³ - x² + bx - 24.
Since (x - 2) and (x - 4) are the factors, they will give functions of 8a + 2b = 28 and -16a - b = 10.
This will be solved by elimination method and the values of a and b will be -2 and 22.
Therefore, f(x) = -2x³ - x² + 22x - 24
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A family arrives home at 01:10 after a journey that took 7 1/2 hours . At what time of the pervious day did bay start their journey ?
Answer:
they started their journey at 5:40
Find the equation of a straight line passing through the points (2, -2) and (3, -4)
Answer:
y = -2x + 2
Step-by-step explanation:
slope is found with (change in y/change in x), or in this case, (-4--2,3-2), which is -2
with the equation y = -2x + b, solve for b by plugging in the x and y values of one of the points
using (2, -2):
-2 = -2(2) +b
b = 2
so the equation is y = -2x + 2
If there are 4 green apple and 3 red apples, what's the probability that a red apple is picked?
Answer: 3/7
Step-by-step explanation:
what is the potential energy of a rock that weighs 100 newtons that sits on a hill 300 meters high
Answer:
30000J or 30 KJ
Step-by-step explanation:
Formula for finding Gravitiational Potential Energy or GPE = mgh (or Wh since W = mg)
Given
W = 100N
h = 300m,
GPE = Wh = 100 x 300 = 30000J or 30 KJ
An igloo can be modeled as a hemisphere. Its radius measures 6.3 m. Find its volume in cubic meters. Round your answer to the nearest tenth if necessary.
The volume of the igloo is 523.43 m^3
How to get the volume of the igloo?We know that the volume of a sphere of radius R is:
[tex]V = (4/3)*pi*R^3[/tex]
Where pi = 3.14
Then the volume of a hemisphere is half of that.
In this case, we have a hemisphere with a radius of 6.3m, then the volume will be:
[tex]V = (1/2)*(4/3)*3.14*(6.3m)^3 = 523.43 m^3[/tex]
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how many bit strings of length 9 have exactly two 1'S or two 0'S( this is one question, so you should have one answer)
Answer:
72.
Step-by-step explanation:
Number of strings with exactly 2 1's
= 9C2
= 9*8/2*1
= 36.
Same for 2 0s
= 36.