The transformation mapping triangle ABC into triangle DEF is given as follows:
A. reflection.
What are transformations on the graph of a function?Examples of transformations are given as follows:
A translation is defined as lateral or vertical movements.A reflection is either over one of the axis on the graph or over a line.A rotation is over a degree measure, either clockwise or counterclockwise.For a dilation, the coordinates of the vertices of the original figure are multiplied by the scale factor, which can either enlarge or reduce the figure.For this problem, the biggest change is in the orientation of the figure, hence the figure was a reflection.
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Solve the given proportion X/4 = 3/6 X=
Answer:
X/4=3/6
Start off by cross multiplying the tops and bottoms, so X/4=3/6 turns into 6X=12. Now divide by 6 on both sides.
6X=12 X=2
Answer:
2
Step-by-step explanation:
Cross Multiple and Divide
X. 3
----. = ----
4. 6
So what you want to do is multiply diagonally:
(6)(X) = 6X
(3)(4) = 12
Now that we have our two answers, we put an equal sign between them.
6X = 12
Now to get X alone. Since it's being multiplied by 6, you want to do the opposite and divide.
So remember to divide on both sides to get rid of the 6.
6X divided by 6 is just X.
12 divided by 6 is 2
We got our answers, put the equal sign in-between
X = 2
What value of x makes this equation true?
1.2x - 10 = 0.2x + 14
A 4
B 14
C 24
D 6
Answer: C
Step-by-step explanation:
1.2x-10=0.2x+14
subtract 0.2x
1.0x-10=14
add 10
x=24
which quanity is proportional to 5/25
Answer:
1/5
Step-by-step explanation:
Please help I’m stuck on this question
C looks like the smartest answer to go with.
an element of material is subjected to the following state of stress: , , , and . determine the following:
The obtained stress which is acting from every direction is at 45 degree.
The transformation equations will be used to calculate the stresses acting on an inclined element.
(σ x+σ y )/2 =75 MPa
(σ x-σ y )/2 =35 MPa
Tor xy = 28 MPa
sin 2θ = sin 90° = 1
cos 2θ = cos 90° = 0
Substituting these values into Eqs
σ x1 =(σ x+σ y )/2+ (σ x-σ y )/2 cos2θ+ τxy sin2θ
= 130 MPa
τ x 1 y 1 = (σ x-σ y )/sin2θ + τxy cos2θ
σ y 1= (σ x+σ y )/2- (σ x-σ y )/cos2θ+ τxy sin2θ
= 47Mpa
Elements of stress
We can easily obtain the stresses acting on all sides of an element oriented at = 45° from these results.
The arrows indicate the true directions of the stresses. Take special note of the shear stress directions, which all have the same magnitude. Also, keep in mind that the sum of the normal stresses remains constant at 150 MPa.
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In triangle ABC, m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘.
What is the value of x?
Answer:
x = 23
Step-by-step explanation:
A triangle contains 180°. So, simply create the equation m∠A + m∠B + m∠C = 180° and solve for x.
2x + 3x + 1 + 3x - 5 = 180
8x - 4 = 180
8x = 184
x = 23
The value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.
What is triangle angle sum theorem?According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.
In triangle ABC,
m∠A=(2x)∘, m∠B=(3x+1)∘, m∠C=(3x−5)∘.As, the sum of all the angles of triangle is equal to the 180 degree. Thus,
\(m\angle A+m\angle B +m\angle C=180^o\\(2x)+(3x+1)+(3x-5)=180\\2x+3x+3x=180+5-1\\8x=184\\x=\dfrac{184}{8}\\x=23^o\)
Thus, the value of x in triangle ABC, where m∠A=(2x)∘, m∠B=(3x+1)∘, and m∠C=(3x−5)∘ is 23.
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What is the unit rate per bottle if a pack of 25 bottles of juice sells for $5? (1 point)
Answer:
[Verse 1]
We're waiting every night
To finally roam and invite
Newcomers to play with us
For many years, we've been all alone
We're forced to be still and play
The same songs we've known since that day
An imposter took our life away
Now, we're stuck here to decay
[Pre-Chorus]
Please let us get in
Don't lock us away
We're not like what you're thinking
We're poor little souls
Who have lost all control
And we're forced here to take that role!
We've been all alone
Stuck in our little zone since 1987
Join us, be our friend or just be stuck and defend
After all, you only got...
[Chorus]
Five Nights at Freddy's
Is this where you wanna be?
I just don't get it
Why do you wanna stay?
Five Nights at Freddy's
Is this where you wanna be?
I just don't get it
Why do you want to stay?
Five Nights at Freddy's
[Verse 2]
We're really quite surprised
We get to see you another night
You should have looked for another job
You should have said to this place goodbye
It's like there's so much more
Maybe, you've been in this place before
We remember a face like yours
You seem acquainted with those doors
[Pre-Chorus]
Please let us get in
Don't lock us away
We're not like what you're thinking
We're poor little souls
Who have lost all control
And we're forced here to take that role!
We've been all alone
Stuck in our little zone since 1987
Join us, be our friend or just be stuck and defend
After all, you only got...
[Chorus]
Five Nights at Freddy's
Is this where you wanna be?
I just don't get it
Why do you want to stay?
Five Nights at Freddy's
Is this where you wanna be?
I just don't get it
Why do you want to stay?
Five Nights at Freddy's, oh
Step-by-step explanation:
a leak I a storage tank caused 600 gallons of water to drain out in 70 minutes. What is the average rate of change in the tank water level? (round to the nearest hundredth)
We have a drainage of 600 gal in 70 minutes.
We can calculate the average rate of change, in gal/minute, dividing the total volume drained by the time it took:
\(r=\frac{600\text{ gal}}{70\min}\approx8.57\frac{gal}{\min }\)Answer: the average rate of change is 8.57 gal/min.
Cedar Point has 17 roller coasters. If you want to ride at least 15 of them, how many different combinations of roller coasters can you ride? NO LINKS!!!
================================================
Explanation:
I'll be using the formula
\(_n C _r = \frac{n!}{r!*(n-r)!}\)
which is the nCr combination formula. We use nCr instead of nPr because the order of coasters doesn't matter. The whole time, the value of n stays fixed at n = 17 which is the total number of coasters to pick from.
While n is constant, the value of r will vary. It ranges from r = 15 to r = 17 inclusive of both endpoints. In other words, r will take on values from the set {15,16,17}. So we have three cases to consider. The r value is how many coasters we select. This is due to the "at least 15" which means "15 or more".
-----------------------
If you ride r = 15 coasters, then we have the following number of combinations
\(_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{17} C _{15} = \frac{17!}{15!*(17-15)!}\\\\_{17} C _{15} = \frac{17!}{15!*2!}\\\\_{17} C _{15} = \frac{17*16*15!}{15!*2!}\\\\_{17} C _{15} = \frac{17*16}{2!}\\\\_{17} C _{15} = \frac{17*16}{2*1}\\\\_{17} C _{15} = \frac{272}{2}\\\\_{17} C _{15} = 136\\\\\)
There are 136 ways to ride exactly 15 coasters (when selecting from a pool of 17 total). The order doesn't matter.
We'll use this result later, so let x = 136.
-----------------------
If r = 16, then we follow the same steps as above. You should get 17C16 = 17
There are 17 ways to ride 16 coasters where order doesn't matter. Effectively this is the same as saying "there are 17 ways of picking a coaster that you won't ride"
Let y = 17 so we can use it later
-----------------------
Lastly, if r = 17, then nCr = 17C17 = 1 represents one way to ride all 17 coasters where order doesn't matter.
Let z = 1
-----------------------
Add up the values of x, y, and z to get the final answer
x+y+z = 136+17+1 = 154
What is standard form?
Answer:
Ax+By=C
Step-by-step explanation:
which point is on her graph? A. (1, 10) B. (22, 3) C. (6, 34) D. (2, 20)
Answer:
There is no picture
Step-by-step explanation:
I wanted to help but i cant
Answer:Its D
Step-by-step explanation: (6, 34)
Consider the function below. x= -1, 0,1,2 and f(x)= -2,3,8,13 Which of the following functions could be the inverse of function f?
Answer:
Step-by-step explanation:
A function is the inverse of another function if it "undoes" the original function. In other words, if you apply the original function to an input and then apply the inverse function to the result, you get the original input.
To find the inverse of a function, you can swap the input and output values of the original function, and then solve for the new input variable. For example, if the original function is f(x) = y, the inverse function would be f^-1(y) = x.
Given the function f(x) = -2, 3, 8, 13, it is not possible to find a simple algebraic inverse function for the given values of x = -1, 0, 1, 2. The inverse of a function is only well-defined if the function is one-to-one, meaning that for every output value, there is only one input value that maps to it. In this case, the function does not appear to be one-to-one, so it does not have an inverse function.
You have $16 and a coupon for a five dollar discount at a local supermarket one bag of hot Cheetos cost 3 dollars how many bag of Cheetos can you buy
The number of Cheetos you can buy in the supermarket is 7.
How to find the number of bag of Cheetos bought?You have $16 and a coupon for a five dollar discount at a local
supermarket . One bag of hot Cheetos cost 3 dollars. Therefore, the
number of bag of Cheetos you can buy can be calculated as follows:
Therefore, altogether he has 16 + 5(coupon discount) = 21 dollars to spend
in the super market.
Therefore,
number of Cheetos worth 3 dollars one can buy = 21 / 3
number of Cheetos worth 3 dollars one can buy = 7
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Solve for the variable in each of the following equations. Write the answer as an equation.
We will determine the value for each variable respectively as follows:
*1st:
\(-4t-6=14\Rightarrow-4t=20\)\(\Rightarrow t=-5\)*2nd:
\(15=-1-2w\Rightarrow-2w=16\)\(\Rightarrow w=-8\)*3rd:
\(\frac{8}{7}r+5=-11\Rightarrow\frac{8}{7}r=-16\)\(\Rightarrow r=-14\)*4th:
\(\frac{1}{6}z-3=-1\Rightarrow\frac{1}{6}z=2\)\(\Rightarrow z=12\)-6 4/5 divided by -2/5
Answer:
17
Step-by-step explanation:
1) Convert 6 4/5 to improper fraction. Use this rule: a b/c = ac + b/c.
- 6 * 5 + 4 / 5 ÷ -2/5
2) Simplify 6 * 5 to 30.
-30 + 4 / 5 ÷ -2/5
3) Simplify 30 + 4 to 34.
-34/5 ÷ -2/5
4) Use this rule: a ÷ b/c = a × c/b
-34/5 * 5/-2
5) Cancel 5.
-34 * 1/-2
6) Simplify 34 * 1/-2 to 34/-2.
-34/-2
7) Move the negative sign to the left.
-(-34/2)
8) Simplify 34/2 to 17.
-(-17)
9) Remove parentheses.
17
What’s the answer for this one please show work!
Answer:
∠ MON = 51°
Step-by-step explanation:
∠ LON is composed of the 2 angles LOM and MON , that is
∠ LOM + ∠ MON = ∠ LON
42° + ∠ MON = 93° ( subtract 42° from both sides )
∠ MON = 51°
Answer:
<MON= 51°
Step-by-step explanation:
Look at the diagram and locate LON. You can see that LON is the angle of the complete line. Now LOM is given which is the angle of a part of the lines. So that means that to find MON we can minus LON with LOM.
<MON= <LON - <LOM
= 93-42
<MON= 51°
Feel free to ask any doubt you have!
-4 is greater than of equal to x - 11
Using the inequality rule we know that 11 is greater than -11, (11 > -11).
What is an Inequality Equation?Mathematical expressions with inequalities are those in which the two sides are not equal.
Contrary to equations, we compare two values in inequality.
Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Two expressions in inequality aren't always equal, which is denoted by the symbols >, <, ≤, or ≥.
So, let's say the inequality equation looks like this: A
Right now, A is valued at
Let p be used to representing the initial number.
P equals 11, so
Let q be used to representing the second number.
Q has a value of -11.
-11 and 11 are both numbers that are greater than zero.
Then, 11 > -11 ... (1)
A has a value of 11 > -11.
Therefore, using the inequality rule we know that 11 is greater than -11, (11 > -11).
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Correct question:
Is 11 greater than, equal to, or less than -11?
There are 60 students and 13 teachers on a bus what is the ratio of students to teachers
60 : 13
30 : 6.5
15 : 3.25
twenty insurance agents are randomly selected and asked if they own a handgun. fourteen of those surveyed said that they do own a handgun. if an insurance agent is randomly selected, estimate the probability that the agent will own a handgun. round your answer to two decimal places, if necessary.
The probability is 0.8427.
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.
Here we are total number of insurance agents = 89
And number of insurance agents do own a handgun = 75
So we asked probability that a insurance agent will own a handgun
Probability = no.of insurance agents/no.of insurance agents who owns a handgun
Probability = 75/89 = 0.8427
The probability that the agent will own a handgun is .84
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I need help with this someone!!
Answer:
Do u have answer choices?
Answer:
Your proportional constant would be 3 in this case.
Step-by-step explanation:
To find it yourself, try and find what number the y-axis equals when x=1. Hope this helps!
Please help ASAP. Thanks so much
Answer:
its A
Step-by-step explanation:
Translate the given statement into a linear equation in the form
ax + by = c using the indicated variable names. Do not try to solve the resulting equation.
The number of new clients (x) is 149% of the number of old clients (y).
On solving the provided question ,we can say that The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as: x = 1.49y
what is a sequence?A sequence is a grouping of "terms," or integers. Term examples are 2, 5, and 8. Some sequences can be extended indefinitely by taking advantage of a specific pattern that they exhibit. Use the sequence 2, 5, 8, and then add 3 to make it longer. Formulas exist that show where to seek for words in a sequence. A sequence (or event) in mathematics is a group of things that are arranged in some way. In that it has components (also known as elements or words), it is similar to a set. The length of the sequence is the set of all, possibly infinite, ordered items. the action of arranging two or more things in a sensible sequence.
The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as:
x = 1.49y
-1.49y + x = 0
-149y + 100x = 0
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The linear equation in the required form is: x - 1.49y = 0
What is linear equation?
A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane. It is an equation of the form:
y = mx + b
Let's start by assigning variables to the given information. We are told that "the number of new clients (x) is 149% of the number of old clients (y)."
Using this information, we can write:
x = 1.49y
To write this equation in the form ax + by = c, we need to move all the variables to one side of the equation and simplify.
Subtracting 1.49y from both sides, we get:
x - 1.49y = 0
So the linear equation in the required form is:
x - 1.49y = 0
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Translate into a variable expression.
fifteen more than one-half of the square of z
Answer:
15 +(1/2)X z²
this is your expression plz brainlist me and follow me
Henry's savings account has an APR of 3.65%, calculates interest daily, and
pays interest at the end of the month. If during the month of November, his
balance was $300 for the first 10 days of the month, $1200 for the next 10
days of the month, and $800 for the last 10 days of the month, how much
total interest did Henry earn in November?
A company has determined that its maximum profit occurs when it sells 10,000units per month. For every 1,000 units more or less than 10,000 units that thecompany sells, its profit decreases by $5,000. Which of the following equationscan be used to find the number of units, q, in thousands, for which the profitdecreases $35,000 from the maximum?
A. 10 |q−35| =5
B. 5 |q−10| =35
C. 35 |q−10| =5
D. 5 |q−35| =10
Answer:
B. 5 |q−10| =35
Step-by-step explanation:
Solution:
let's try to understand the problem clearly.
In this question, we asked to calculate the number units which that company produces so that it's profit is decreased from the maximum profit.
We know that, for 10000 units = company will get maximum profit.
Any value less than or greater than 10000 units will decrease the profit.
and we also know that,
For every 1000 units profit is decreased by $5000.
So if maximum profit is at 10000 units,
Then at 9000 units = it will have profit decreased by 5000 from the maximum
if q = 11000 then profit = Maximum - 5000
But we are asked to calculate the profit decrease of $35000 from the maximum.
it means we need 5000 decreased by 7 times = 10000 + 7000 = 17000 units
So, if company produces 17000 units,
profit will be decreased by 5(7000) = 35000
Finally,
B. is the only equation which satisfies this condition.
B. 5 (q-10) = 35
(q-10) = 7
q = 10 + 7 = 17
q = 17000 units
Hence, for 17000 units, company's profit will decrease $35000 from the maximum profit.
Please help triangle similarity
9514 1404 393
Answer:
(C) SAS
Step-by-step explanation:
The obtuse angles in each triangle are "corresponding" with respect to the segments marked parallel and the horizontal transversal.
Those angles are between pairs of proportional sides:
60/42 = 40/28 = 10/7
so, the applicable theorem is SAS. The triangles can be proven similar using the SAS theorem.
A savings account increases from 150 $ to156 $. What is the percent increase of the savings account?
Answer:
4%
Step-by-step explanation:
to solve this you need to subtract 156-150=6
then take 6 divided by 150 which is 0.04
then take 0.04x100=4
Answer:
4%
Step-by-step explanation:
156 divided by 150 = 1.04, which equals 4%
Given g(x)=2x^2+10x, find g(-4)
geometry!! can someone help me with #23 please? it would mean a lot thanks :)
Answer:
yes, they are parallel lines in #23
Step-by-step explanation:
the slope of both lines is -1
Jesse makes a 6% commission on every spa where makes if he sold $875 worth of items this week, how much will he make in commission
Answer:
$52.50
Step-by-step explanation:
6% of 875
0.06*875
52.5
Jesse will make $52.50 in commission this week if he sold $875 worth of items.
What is the percentage?The percentage is the ratio of the composition of value to the whole composition of value multiplied by 100.
Here,
To calculate Jesse's commission, we can multiply the total sales by the commission rate:
Commission = Total Sales × Commission Rate
In this case, the total sales are $875 and the commission rate is 6%, so:
Commission = $875 × 6% = $52.50
Therefore, Jesse will make $52.50 in commission this week if he sold $875 worth of items.
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