Answer:
Is there suppose to be a graph?
If not, if the original coordinates were (x,y) the new ones will be (y,x)
Step-by-step explanation:
The point C(x , y) is reflected through the line x = y, the coordinates of C is (y, x).
What is reflection?A reflection is "geometric transformation results in mirror image".
According to the question,
The point C(x, y) is reflected through the line X - Y = 0.
Formula to find new coordinates (x-x₁)/a =(y-y₁)/b= -2(ax₁+by₁+c)/(a² + b²)
The point (x, y) = (x₁, y₁) and from the line a = 1, b = - 1,c = 0.
(x-x₁)/1 = -2(x₁ - y₁)/2
x - x₁ +x₁ -y₁ =0
x = y₁.
similarly we get y = y₁
Hence, The point C(x , y) is reflected through the line x = y, the coordinates of C is (y, x).
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PLEASE HELP ME WITH THIS QUESTION ASAP
Answer:
y=5x+(-19)
Step-by-step explanation:
Refer to the picture that given
The cost see for manufacturing X units of a certain product is given by C equals X squared -10 X +35 find the number of units manufactured at a cost of 11,035
9514 1404 393
Answer:
110 units
Step-by-step explanation:
Fill in the given value and solve for x.
c = x^2 -10x +35
11035 = x^2 -10x +35
11025 = x^2 -10x +25 = (x -5)^2 . . . . subtract 10 to complete the square
x = 5 +√11025 = 5 +105 . . . . find the positive solution
x = 110
The number of units manufactured at a cost of 11,035 is 110 units.
In 2010, the average price of a movie ticket was $7.89. Since then, the price has increased by an average of $0.15 per year. Write a linear equation to represent the cost C of a movie ticket y years after 2010.
Answer:
C=0.15y+7.89
Step-by-step explanation:
The linear equation represents the cost C of a movie ticket y is C=0.15y+7.89. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
What is meant by linear equation?A linear equation is an algebraic equation of the form y=mx + b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
We define a linear equation. Equations of degree 1 are linear equations. It is the straight line's equation. A linear equation with parameters a and b equal to zero has the conventional form ax+by+c = 0.
When two linear expressions are equal, there is a linear equation in one variable. Or, to put it another way, a graph would be one method of solving this equation.
Given ,
Average price of movie ticket =$7.89
Increased average tickets =$0.15
So Simplifying the equation is
C=0.15y+7.89
Therefore The linear equation represents the cost C of a movie ticket y is C=0.15y+7.89.
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the area of the trapezoid is 176 cm^2. The height is 16 cm and the length of one of the parallel sides is 9 cm. Find the length of the second parallel side
Answer:
44,55,77
Ratio is 11/1
Step-by-step explanation:
176=4x+5x+7x
176=16x
11=x
44,55,77
Step-by-step explanation:
HELP ME OUT HERE PLEASEE I WILL MAKE BRAINLIST TO THE PERSON WHO DID EXPLANATION.
Answer:
5 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]2\frac{4}{5}[/tex] + [tex]3\frac{7}{10}[/tex] = [tex]2\frac{8}{10}[/tex] + [tex]3\frac{7}{10}[/tex] = [tex]5\frac{15}{10}[/tex] = [tex]6\frac{1}{2}[/tex]
12 - [tex]6\frac{1}{2}[/tex] = (12 - 6) - [tex]\frac{1}{2}[/tex] = 6 - [tex]\frac{1}{2}[/tex] = 5 [tex]\frac{1}{2}[/tex]
If you use 2 cups of sugar for every 3 cups of lemon juice how many cups of sugar do you need for 9 cups of juice
Answer:
6 cups of lemon juice
Step-by-step explanation:
27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 47 college students are randomly selected, find the probability that
a. Exactly 13 of them major in STEM.
b. At most 12 of them major in STEM.
c. At least 9 of them major in STEM.
d. Between 8 and 15 (including 8 and 15) of them major in STEM.
Answer:
0.12995
0.47508
0.0841
0.738
Step-by-step explanation:
Given that:
Percentage of STEM (p) = 27% = 0.27
Sample size (n) = 47
Using Normal approximation :
Mean (m) = n*p = 47 * 0.27 = 12.69
Standard deviation (s) = √(n*p*q)
q = 1 - p = 1 - 0.27 = 0.73
Standard deviation (s) = √(47*0.27*0.73) = 3.04
a. Exactly 13 of them major in STEM.
P(12.5 < x < 13.5)
USing the z formula :
(x - m) / s
(12.5 - 12.69) / 3.04 < x (13.5 - 12.69) / 3.04
-0.0625 < z < 0.2664
Using the z probability calculator:
P(Z < - 0.0625) = 0.47508
P(Z < 0.2664) = 0.60503
0.60503 - 0.47508
= 0.12995
b. At most 12 of them major in STEM.
P(X ≤ 12.5)
Zscore = (x - m) / s
Zscore = (12.5 - 12.69) / 3.04
Zscore = −0.0625
P(Z ≤ - 0.0625) = 0.47508
c. At least 9 of them major in STEM.
P(X ≥ 8.5)
Zscore = (x - m) / s
Zscore = (8.5 - 12.69) / 3.04
Zscore = −1.378
P(Z ≤ - 1.378) = 0.0841
d. Between 8 and 15 (including 8 and 15) of them major in STEM.
(8.5 - 12.69) / 3.04 < x (15.5 - 12.69) / 3.04
-1.378 ≤ z ≤ 0.924
Using the z probability calculator:
P(Z ≤ 0.924) = 0.82226
P(Z ≤ - 1.378) = 0.084102
0.82226 - 0.084102
= 0.738
solve the inequality -2<4x-10<6
Answer:
2 < x < 4
Step-by-step explanation:
Sorry if it’s blurry it’s hard to take pictures of a computer screen lol im not very good at this subject in math so all help is appreciated :D
Answer:
If they are similar triangles then the ratio AE:BE equals the ratio DE:BCThe ratio AE:BE can be written as the fraction [tex]AE:BE=\frac{AE}{BE}= \frac{9cm}{BE}[/tex] The ratio DE:BC can be written as the fraction [tex]DE:BE=\frac{DE}{BE}=\frac{6cm}{16cm} =\frac{3}{8}[/tex] [tex]AE:BE=DE:BC\\\frac{9cm}{BE}=\frac{3}{8} \\BE*3=8*9cm\\BE*3=72cm\\BE=24cm[/tex]PLS HELP!!
What is x
Answer:
2
Step-by-step explanation:
When a pentagonal spinner is spun, it lands on one of 1, 2, 3, 4, or 5. If this spinner is spun
twice, what is the probability of it landing on even numbers on both the occasions?
A) 4/25
B) 6/25
C) 1/5
D) 9/25
Please help me
Answer:
1/5
Step-by-step explanation:
Describe the shape of the distribution.
O A. It is uniform.
B. It is bimodal.
O C. It is symmetric.
D. It is skewed.
Answer:
The shape of a distribution is described by its number of peaks and by its possession of symmetry, its tendency to skew, or its uniformity. (Distributions that are skewed have more points plotted on one side of the graph than on the other.) PEAKS: Graphs often display peaks, or local maximums.
Answer: It is Skewed
Step-by-step explanation: More positive space than negative. So it is positively skewed.
Write the number in standard form. 900,00 + 80,000 + 500 + 7 HELP ME PLSS ILL GIVE U 100 DOLLARS
Answer:980,507
Step-by-step explanation:
Answer:
980,507
Step-by-step explanation:
hope this helps :)
If MQ also bisects angle ∠LMP, find the measure of ∠QMP and find the value of x. ∠QMP = (5x + 10)º
Answer:
Step-by-step explanation:
If MQ also bisects angle ∠LMP, then;
<LMQ + <QMP = <LMP
Also <LMQ = <QMP
The equation becomes <QMP + <QMP = <LMP
2<QMP = <LMP
Let <LMP be 8x+40° (This is an assumed value)
2(5x+10) = 8x+40
Open the parenthesis
10x+20 = 8x+40
10x-8x = 40-20
2x = 20
x = 20/2
x = 10
Find <QMP
Since <QMP = 5x+10
<QMP = 5(10)+10
<QMP = 50+10
<QMP = 60 degrees
Note that the angle <LMP was assumed. Any other function can be used depending on the question
A family wants to make a %20 down payment on a house that cost 200,000 what is the amount of the down payment
Answer:
40
Step-by-step explanation:
Question1) Describe three scenarios that involve a real-world linear or exponential function. At least one must be exponential. Identity whether your scenarios are linear or exponential. Provide an explanation to support your answers.. (Mark Brainliest.)
Answer:
1) Let's suppose that you go in a straight line, in a car that moves at a constant speed of 80km/h.
Then the distance from your house (assuming that you start the drive in your house) can be modeled with a linear equation:
D(t) = 80km/h*t
where t is time in hours.
This will be a linear function.
2) Suppose that you have a population of some animal, that grows by 2% each month, and initially, there are 100 individuals of that animal.
Then the first month, the population is 100.
The second month the population increased by a 2%, then it will be:
100 + 100*0.02 = 100*(1.02)
The third month, the population will be 100*(1.02) + 0.2*100*(1.02) = 100*(1.02)^2.
and so on, this is an exponential relation, where the population as a function of the number of months, can be written as:
P(m) = 100*(1.02)^(m - 1)
3) Suppose that you have $100 saved, and each month you can save another $80, let's find a function that says the amount of money that you have saved as a function of the number of months. S(m)
The month number zero (before you started saving) you had $100 saved.
S(0) = $100.
One month after, you have saved $80 more, then you have:
S(1) = $100 + $80
Another month after, you have:
S(2) = $100 + $80 + $80 = $100 + 2*$80
And so on, you already can see the pattern, after m months, you will have:
S(m) = $100 + m*$80 saved.
S
T
80°
70
Find the measure of RST.
A)
20
B)
30°
40°
D)
60°
Answer:
D
Step-by-step explanation:
If its right let me know I think this is right
A store has been selling 200 DVD burners sold per week at 400 each. A market survey indicates that for each $ 20 rebate offered to buyers, the number of units sold will increase by 40 a week. Find the demand function and the revenue function. How large a rebate should the store offer to maximize its revenue
Answer:
The answer is "50".
Step-by-step explanation:
Let,
[tex]\to p(200) = 400[/tex]
If we assume the $20 reduction would raise the number of items sold to $40 so the increment is (x - 200) if x is the number of units sold.
[tex]\to (\frac{1}{40}) \times 20 = 0.5[/tex]
[tex]\to D(x) = 400 - 0.5 \times ( x - 200 ) \\\\ \ and \\ \to R(x) = x \times (D(x) \\\\[/tex]
[tex]= x \times [ 400 - 0.5\times ( x - 200 )]\\\\ = x\times[400 - 0.5x - 100]\\\\= x\times [300 - 0.5 x]\\\\= 300x - 0.5 x^2[/tex]
[tex]R(x)= 300x- \frac{1}{2} x^2\\\\R'(x)=300-x\\[/tex]
if R'(x)=0
x=300
if 0 < x < 300 and R(x) > 0 then R(x) for maximum x is = 300
[tex]D(300) = 400 - 0.5\times ( x - 200 )\\\\[/tex]
[tex]= 400 - 0.5\times ( 300- 200 )\\\\ = 400 - 150+ 100\\\\ = 500 - 150 \\\\=350[/tex]
The rebate must be : 400 - 350 = 50
Reduce to simplest form. - 3/5 + 1/3
Answer: -4/15
Step-by-step explanation: To add these two fractions together,
we start by finding their Least Common Denominator (LCD).
Since our denominators of 5 and 3 have no factors in common,
our least common denominator is 5 · 3 or 15.
In order to get a denominator of 15 in each fraction,
we multiply top and bottom of the first fraction by 3
and top and bottom of the second fraction by 5.
That gives us -9/15 + 5/15 which simplifies to -4/15.
As your last step, make sure that the fraction
that you end up with doesn't reduce.
In this case, -4/15 does not reduce but watch out for this last step.
A 20-inch-long piece of rope is approximately 0.5 meters long.
What is the length, in inches, of a rope that is 2.5 meters long, rounded to the nearest tenth? Enter the answer in the box.
inches
Answer:
100 inches
Step-by-step explanation:
Given
20 inch ≈ 0.5 m
Required
Determine the equivalent of 2.5m in inches
The question illustrated conversion between units of same measurements.
And we have that:.
20 in ≈ 0.5 m
Which can be rewritten as:
0.5 m ≈ 20 in
To solve further, we multiply both sides by 5
0.5 m * 5 = 20 in * 5
2.5 m ≈ 100 in
Hence, we can conclude that the 2.5m rope is approximately 100 inches long
The 2.5m rope is approximately 100 inches long
We have to given that,
20 inch ≈ 0.5 m
And, To Determine the equivalent of 2.5m in inches.
Since, It is illustrated conversion between units of same measurements.
And we have that;
20 in ≈ 0.5 m
Which can be rewritten as:
0.5 m ≈ 20 in
we multiply both sides by 5
0.5 m x 5 = 20 in x 5
2.5 m ≈ 100 in
Hence, we can conclude that the 2.5m rope is approximately 100 inches long.
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Yesterday it took 40 minutes to drive to school. Today is took 32 minutes to drive to
school. What is the amount of percent decrease?
Answer:
20%
Step-by-step explanation:
To find the percent decrease, we do old number subtracted from the new numbers over old.
We do
40 - 32 = 8
Then we put the 8 over the old and get
8/40
In percentage form it would be 20%
Find the solutions in the interval [0, 2π). (Enter your answers as a comma-separated list.)sec θ − tan θ = cos θ
Answer:
π/2Step-by-step explanation:
Given the expression;
secθ − tan θ = cosθ
We are to find the solution in the interval [0, 2π).This is as shown;
From trigonometry identity;
secθ = 1/cosθ
tanθ = sinθ/cosθ
Substitute into the formula;
secθ − tan θ = cosθ
1/cosθ-sinθ/cosθ = cosθ
Multiply through by cosθ
1 - sinθ = cos²θ
1-sinθ = (1-sin²θ)
1-sin²θ-1+sinθ =0
-sin²θ+sinθ = 0
sin²θ = sinθ
sinθ = 1
θ = arcsin 1
θ = 90
θ = π/2
Hence the solution is π/2
The equation is an illustration of trigonometry ratios and identities
The solution in the interval [0, 2π) is [tex]\mathbf{\theta = \frac{\pi}{2}}[/tex]
The equation is given as:
[tex]\mathbf{sec\theta - tan \theta = cos\theta}[/tex]
In trigonometry identity, we have:
[tex]\mathbf{sec\theta = \frac{1}{cos\theta}}[/tex]
and
[tex]\mathbf{tan\theta = \frac{sin\theta}{cosθ}}[/tex]
So the equation becomes
[tex]\mathbf{\frac{1}{cos\theta} -\frac{sin\theta}{cos\theta} = cos\theta}[/tex]
Multiply through by cosθ
[tex]\mathbf{1 - sin\theta = cos\²\theta}[/tex]
In trigonometry,
[tex]\mathbf{cos\²\theta = 1 - sin^2\theta }[/tex]
So, we have:
[tex]\mathbf{1-sin\theta = 1-sin\²\theta}[/tex]
Subtract 1 from both sides
[tex]\mathbf{sin\theta = sin\²\theta}[/tex]
Divide both sides by [tex]\mathbf{sin\theta}[/tex]
[tex]\mathbf{1 = sin\theta}[/tex]
Rewrite as:
[tex]\mathbf{sin\theta = 1}[/tex]
Take arc sin of both sides
[tex]\mathbf{\theta = sin^{-1}(1)}[/tex]
This gives
[tex]\mathbf{\theta = \frac{\pi}{2}}[/tex]
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The length of a rectangle is 12x and the width is 4+x which of the following equations would find the area of the rectangle
A 12x+(4+x)
B 2(12x)+2(4+x
C12x(4+x)
Answer: The answer is C.
Step-by-step explanation:
Remember that the formula for the area of a rectangle is [tex]lw[/tex]. This gives you 12x as the length and 4+x as the width. You just need to multiply those two number together, and you get 12x(4+x) which is C.
Can someone help I don’t know the answer
What is the equation of the line that is parallel to the
given line and passes through the given point?
O y=-2
O x= -2
Oy=-4
O x= -4
Answer:
y= -4
Step-by-step explanation:
Edge 2020 :)
A baseball team practices 4 times a week. Each practice lasts for 115 minutes. The team practiced for 12 weeks during the season.
Part A
How many hours did the team practice during the entire season?
*HINT: Remember that there are 60 minutes in one hour.
Answer:
Your answer would be 92 Hours
Step-by-step explanation:
4 x 115 = 460
460 x 12 = 5,520
5,520 ÷ 60 = 92
Therefore your answer would be 92
The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day,
311 people entered the park, and the admission fees collected totaled 804.00 dollars. How many
children and how many adults were admitted?
Your answer is
number of children equals_____
number of adults equals_____
Answer:
There are 104 kids and 162 adults
Step-by-step explanation:
104x1.5=156 Dollars from the kids
162x4=648 dollars from adults
648+156=804
Can I get brainiest now?
How do you graph the solution of this inequality b< 6
Answer:
The graph of the solution to inequality is shown in the attached figure.
Step-by-step explanation:
Considering the inequality
[tex]b< 6[/tex]
As this inequality could simply further
so
[tex]b<6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:b<6\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:6\right)\end{bmatrix}[/tex]
As the interval notation indicates that b is less than 6, hence 6 will not be included on the graph.
Therefore, the graph of the solution to inequality is shown in the attached figure.
Lauren has a balance of $60 in your checking account. She spends $80 a day for 3 days vacationing at the beach. What is Laurens new balance in her checking account after her vacation?
Based on Lauren's spending patterns and the balance in her account, her new balance must be an overdraft of $180.
Lauren Balance after Vacation
Her balance after the vacation can be found as:
= Balance before vacation - ( Amount spent)
= 60 - ( 80 x 3)
= 60 - 240
= -$180
In conclusion, she will have a bank overdraft of $180.
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|4| |–6| = > or < its confusing
Answer:
It’s confusing
Step-by-step explanation: