Answer:
here
Step-by-step explanation:
1) Difference: Dilations are transformations that chsnge the size of an object while translations move an object without changing its shape nor its size
2) Similarity: Dilations dont change the shape of the object which is same in translations (they also dont change the shape).
(a) Graph a linear function of your choice. On the same graph, graph a linear function transformed 2 units up and 3 units down.
(b) What was the equation of your linear function in slope-intercept form?
(c) What was the equation of the transformed function in slope-intercept form?
(a) The graph of the linear functions is as attached.
(b) The equation of the linear function in slope-intercept form is; y = x
(c) The equation of the transformed function in slope-intercept form is;
y = x + 2 and y = x - 3
How to interpret the graph of a Linear Function?
Functions are defined as the relationship between sets of values. For example, in the function; y = f(x), for every value of x there exists a set of y values.
x is the independent variable.
y is the dependent variable.
If the linear function is; y = x,
The equation of the transformation in slope-intercept form is given as;
For translation of 2 units up, we have;
y = x + 2
For a translation of 3 units down, we have;
y = x - 3
Thus, the required graph has been attached and the solution is determined.
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On the last day of the schoolbook fair, all pencils were one set price and all books were a different set price. Sammy
bought 2 pencils and 6 books for $14. Belle bought 4 pencils and 1 book for $8. What was the set price for a pencil?
What was the set price for a book?
Answer: wee wee woo woo peep pop doo doo
Step-by-step explanation:You have to be a cool kid to know answer
Answer: Ax+By=c
2x+6y=14
4x+1y=8
x=1.54
y=1.82
Step-by-step explanation:
What is the equivalent expression for 4(x + 5)
uppose that a particular nba player makes of his free throws. assume that late in a basketball game, this player is fouled and is awarded two free throws. a. what is the probability that he will make both free throws? (to 4 decimals) b. what is the probability that he will make at least one free throw? (to 4 decimals)
Answer:
a. 0.81
b. 0.81
Step-by-step explanation:
Let's assume that the player makes x% of his free throws. Then, the probability that he will make both free throws is (x/100)^2, and he will make at least one free throw is 1 - (1 - x/100)^2.
So if he makes 90% of his free throws, then:
a. The probability that he will make both free throws is (90/100)^2 = 0.81.
b. The probability that he will make at least one free throw is 1 - (1 - 90/100)^2 = 1 - (1 - 0.9)^2 = 1 - 0.19 = 0.81.
The answers to the questions rounded to 4 decimal places are:
a. 0.81
b. 0.81
Which of the following is the appropriate choice about display technique:
a. Two continuous variables – Scatter plot
b. Distribution of one continuous variable – Pie chart
c. Distribution of one categorical variable – Treemap
d. One categorical and one continuous variable – Contingency table
e. A and C
f. B and D
The appropriate choice about the display technique in case of two continuous variables is the scatter plot.
A scatter plot is a graph used to plot two variables, usually as the horizontal and vertical axis, to check for a correlation or connection between them.What is a variable?A variable is a statistical concept that is used to measure the characteristics of a population or a sample.
A variable is an attribute or a feature of an object, event, or person that can be quantified or described numerically. The pie chart is appropriate when you want to display a distribution of a continuous variable. But this technique is not appropriate in this case because you cannot see the distribution of a single continuous variable using a pie chart. A pie chart is best suited for showing percentages of a whole.C.E. A scatter plot is a graphical representation of the relationship between two variables. This technique is appropriate when you want to display two continuous variables. A treemap is best suited for showing the distribution of one categorical variable. F. A pie chart is appropriate when you want to display the distribution of a single continuous variable. A contingency table is appropriate when you want to display the frequency distribution of one categorical and one continuous variable.
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Please help me with this question!!!!!
h = 11.9 cm
cos = adjacent/ hypotenuse
therefore:
cos(24) = h/ 13
rearrange:
h = 13cos(24)
put into calculator:
h = 11.8760...
rounded to one decimal point:
h = 11.9cm
PLEASE HELP ME !!!
given a function y = 5x² - 9x - 5
from the graph, determine the value of x when y = 0
Answer:
-0.4 or 2.3
Step-by-step explanation:
simple
each box is 0.1 unit
Answer:
Step-by-step explanation:
The answer is where the graph cuts the x-axis.
I can't see it very well but it looks like x = -0.4 and 2.3.
What are the solutions to equation (x - 21)^2 = 25?
x=
x=
The answers for these solutions to equation (x - 21)^2 = 25 are
x = 26
x =16
Picture proof
The value of x are 26 and 16.
What is an equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra .
According to question
\((x - 21)^{2}\) = 25
(x-21) = ± 5
x-21 = +5 and x-21 = -5
x = 5+21 and x = -5+21
x= 26 and x = 16
Hence, value of x are 26 and 16 .
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Find the area of the following
parallelogram:
3 cm
5 cm
4.5 cm
A= [?] cm
Enter the exact answer as a decimal.
Answer:
The answer is 13.5
Step-by-step explanation:
what is equivialent to 8\11
Answer:
16/22, 24/33, and 40/55
or
72.7272...% = Percentage form
0.7272... = Decimal form
Hope this helps :)
Pls brainliest...
Given that A is the matrix A 2 -5 3 L-2-8 4 find the determinant of A by first finding its echelon matrix U and taking into account any row exchanges: 0 0 and therefore det(A)-
The determinant of the given matrix is 8.
What is determinant of Matrix?
The determinant in mathematics is a scalar quantity that is a function of the rows and columns of a square matrix. It describes some aspects of the matrix and the linear map that the matrix represents.
As given matrix is,
\(A=\left[\begin{array}{ccc}0&-1&-1\\-2&-5&3\\-2&-8&4\end{array}\right]\)
Apply operations,
R₂ ↔ R₁
\(A=\left[\begin{array}{ccc}-2&-5&3\\0&-1&-1\\-2&-8&4\end{array}\right]\)
R₃ ↔ R₃ -R₁
\(A=\left[\begin{array}{ccc}-2&-5&3\\0&-1&-1\\0&-3&1\end{array}\right]\)
R₃ ↔ R₃ -2R₂
\(A=\left[\begin{array}{ccc}-2&-5&3\\0&-1&-1\\0&0&4\end{array}\right]\)
No of non-zeros rows are 3.
Rank of Matrix is 3.
Then evaluate the determinant of matrix A,
= -2(-4 + 0) - 0 + 0
= 8.
Hence, the determinant of the given matrix is 8.
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olympic gold medal has a gram of 586 grams. what is the mass of a 2018 olympic gold medal in hectograms
The mass of a 2018 Olympic gold medal in hectograms is 58.6 hg.
First, we need to know the mass of the Olympic gold medal in grams. According to the question, the mass of an Olympic gold medal is 586 grams.
To convert grams to hectograms, we need to divide the mass in grams by 100. This is because there are 100 grams in 1 hectogram.
To do the division, we can use a calculator. Dividing 586 by 100 gives us 5.86.
The answer we get is in hectograms, so we can write it as 5.86 hg. This means that the mass of a 2018 Olympic gold medal is 5.86 hectograms.
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Each year, Jennifer's school hosts a student vs. teacher basketball tournament to raise money for charity. This year, there are eight teams participating in the tournament. During the first round, each team plays all of the other teams.
(a) How many games will be played in the first round?
The number of games that will be played in the first round will be 14 games.
How to calculate the value?It should be noted that the appropriate function to use in this scenario will be:
= (n - 1) × 2
where n = total number of people participating.
Therefore, this will be:
= (n - 1) × 2
= (8 - 1) × 2
= 7 × 2
= 14
Therefore, the number of games that will be played in the first round will be 14 games.
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What annual interest rate is required for a debt of $11,385 to grow into $14,383 in 8 years if interest compounds monthly? Round your answer to the nearest tenth of a percent. Question 9 What annual interest rate is required for a debt to grow by 44% in 10 years if interest compounds continuously? Round your answer to the nearest tenth of a percent. Question 10 Suppose that you and your friend both need to borrow the same amount of money. - You borrow money from Bank A. which offers loans at an annual interest rate of 4.8% with continuous compounding. - Your friend borrows money from Bank B, which offers loans an annual interest rate of 3.6% with monthly compounding. If both loans have the same future value and the term of your loan is 94 months, what is the term of your friend's loan (in months)? Round your answer to the nearest month.
Annual interest rate required for a debt of $11,385 to grow into $14,383 in 8 years if interest compounds monthly Given that, debt = $11,385 Time, t = 8 years Compounded monthly, n = 12P = $11,385R = ?FV = $14,383
Using the compound interest formula:
FV = P(1 + r/n)nt $14,383 = $11,385(1 + r/12)(12 × 8)$14,383/$11,385 = (1 + r/12)96(1 + r/12) = (14,383/11,385)1/96(1 + r/12) = 1.0079r/12 = 0.0079r = 0.0079 × 12r = 0.0945 ≈ 9.5%
Therefore, the annual interest rate required for a debt of $11,385 to grow into $14,383 in 8 years if interest compounds monthly is approximately 9.5%. Annual interest rate required for a debt to grow by 44% in 10 years if interest compounds continuously Let the initial debt be D. The debt grows by 44% in 10 years.D × (1 + r)¹⁰ = D × 1.44Taking natural logs of both sides and simplifying:
ln (1 + r) = ln 1.44 / 10 = 0.0444r = e^0.0444 - 1r ≈ 4.55%
Therefore, the annual interest rate required for a debt to grow by 44% in 10 years if interest compounds continuously is approximately 4.55%. Let us assume that the borrowed amount is $X. Since both loans have the same future value, using the compound interest formula: FV = P(1 + r/n)nt If both loans have the same future value, the future value for both loans will be equal.
$X(1 + 0.048/365)^(365*94/12) = $X(1 + 0.036/12)^tnₐ = 94*12/365 = 3.1 ≈ 3 months
Therefore, the term of your friend's loan (in months) is approximately 3 months.
Thus, the annual interest rate required for a debt of $11,385 to grow into $14,383 in 8 years if interest compounds monthly is approximately 9.5%. Also, the annual interest rate required for a debt to grow by 44% in 10 years if interest compounds continuously is approximately 4.55%. Finally, the term of your friend's loan (in months) is approximately 3 months.
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9x^4 - x^2 y^2 -5y^4 subtracted 3x^4 + 2x^2 y^2 -7y^4
Answer:
-12y^4+6x^4+x^2y^2\
Step-by-step explanation:
If a garden box that has 31/2 feet long and 4 feet wide and 1/2 foot deep how many cubic feet dirt do you need to fill the garden box completely
We will need 7 cubic feet of dirt to fill the garden box completely.
The formula for the volume of a rectangular box is:
Volume = Length × Width × Height
In this case, the dimensions of the garden box are:
Length = 3 1/2 feet
Width = 4 feet
Height = 1/2 foot
First, convert the mixed numbers to improper fractions:
Length = (3 × 2 + 1)/2 = 7/2 feet
Now, multiply the dimensions together:
Volume = (7/2) × 4 × (1/2)
Simplify the fractions:
Volume = (7 × 4 × 1) / (2 × 2) = 28 / 4
Finally, divide to find the volume in cubic feet:
Volume = 28 ÷ 4 = 7 cubic feet.
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2 2.1 Mathematical intro show that there is another form for spherical harmonics: 1 3 3 Y₁ x iy 1/√√2 (²-1) 2πT 2π 1 3 3 z YO 2 2π π r 1 3 x iy Y₁¹ 3 2π - - 12 √ √ 2² (²+²) 2 2π
Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:
Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)
Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:
Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)
Y1,0 = 1/2 √(3/π)cosθ
Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)
Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ
Y2,0 = 1/4 √(5/π)(3cos²θ-1)
Y0,0 = 1/√(4π)
The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.
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2x + (x + y)2
x= 3
y= 6
z= -2
Answer:
24
Step-by-step explanation:
2x + (x + y)2 = 6 + (3+6)2 = 6 + 18 = 24
I don't understand why did you write about z, it's not needed.
:)
Answer:
87 is the (x+y)2 is supposed to be (x+y)^2
Step-by-step explanation:
2x+(x+y)2
2(3)+(3+6)2
6+(9)2
6+81
87
Please help me quickly I don't have time to wait! Write a compound inequality for the graph shown below Use for your variable.
The compound inequality for the graph is x ≥ 4 or x < 7
How to write the inequality of a graph?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. We have different inequality signs e.g. greater than (>), less than(<), less than or equal to (≤) and greater than or equal to (≥).
From the graph, the values range from 4 to 7. Thus, we have:
x ≥ 4 or x < 7
Note: We have "≥" because the circle for "4" is shaded
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30 men repair a road in 56 days by working 6 hours daily. In how many days 45 men will repair the same road by working 7 hours daily?
Step-by-step explanation:
(30 men, 56 days, 6 hours daily)
=> (30 men, 48 days, 7 hours daily)
=> (45 men, 32 days, 7 hours daily)
Hence it will take 32 days.
Suppose that the scores of golfers on the PGA tour have a mean of 67.15 and a standard deviation of 3.084. A random sample of 30 is taken from the population. What is the distribution of the sample mean
The distribution of the sample mean can be represented as: X ~ N(67.15, 3.084/√30)
The distribution of the sample mean is a normal distribution with a mean equal to the population mean µ and a standard deviation equal to the population standard deviation σ divided by the square root of the sample size n.
Therefore, for this problem, the distribution of the sample mean can be represented as:
X ~ N(67.15, 3.084/√30)
where X is the sample mean, N represents a normal distribution, 67.15 is the population mean, 3.084 is the population standard deviation, and √30 is the square root of the sample size.
This distribution assumes that the sample is randomly selected from the population and the sample size is large enough to satisfy the central limit theorem.
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Problems 1-5: We want to know the true proportion of students that are ok with online courses. We take a sample of 120 students, and 72 said they are ok with online courses. We want to create a 95% confidence interval. Answer the questions below:1) What is the point estimate for the population proportion?2) What is the standard error?3) What is the z score for 95% confidence?4) What is a 95% confidence interval for this data?5) What is the margin of error for this data?
Answer:
Step-by-step explanation:
ima a braintlest
Definition of "Comfort" Give full details.
Answer:
Comfort (or being comfortable) is a sense of physical or psychological ease, often characterized as a lack of hardship. ... The use of "comfort" as a verb generally implies that the subject is in a state of pain, suffering or affliction, and requires alleviation from that state
This should be the answer you're looking for.
Answer:
comfort, support, ease, calm suggest alleviating distress, stress, inconvenience, or agony. To comfort is to diminish the misery or distress of somebody and to reinforce by rousing with trust and reestablishing a happy viewpoint: to comfort a hopeless individual.
Step-by-step explanation:
Which of the following is formed by the intersection of a right circular cone and a plane?
Vertex
Conic section
Linear equation
Nappe
What is the solution to -2(8x - 4) < 2x+5
Answer: x>1/6
Step-by-step explanation:
For this problem, you solve it as if it had an equal sign.
-2(8x-4)<2x+5 [distribute -2]
-16x+8<2x+5 [combine like terms by adding and subtracting on both sides]
3<18x [divide both sides by 18]
x>1/6
Kim and jake are competing in the big race. jake starts at the starting line and rides at 2 meters per second. kim gets a 6 meter head start and rides at 3 meters every 2 seconds. write an equation for kim and jake
The equation obtained for Kim will be t = x/2
Equation obtained for Jake will be t = (x - 6)/1.5
As for the problem, Kim and Jake are competing in the big race. And the values of their speed are given below.
Kim moves at a 2-meter-per-second running pace.
Jake moves at a 1.5 meter per second running pace (3 meters per 2 seconds)
Jake gets 6 meters ahead of Kim.
To get equations for the same case to both persons we should get it as,
Let x be the complete race distance and t be either Kim's or Jake's total race time.
Time = Speed/Distance
Kim's time equation is t = x/ 2.
The time equation that Jake uses is t = (x - 6)/1.5.
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80,000,000+1,000,000+600,000+20,000+900+40+8 how is this written in standard form
Answer:
81,620,948
Step-by-step explanation:
this what you need?
Write the sum using sigma notation: -1/4 + 1/9 - 1/14 + 1/19 - ... n=0
SUM (from n=0 to ∞) = (-1)^n * (1 / (4n+4))
The given sum can be written using sigma notation as follows:
SUM (from n=0 to ∞) = (-1)^n * (1 / (4n+4))
Here, "SUM" represents the summation, "sigma" is the Greek letter used for the summation notation, "n" is the index of summation, and we are "using" the formula (-1)^n * (1 / (4n+4)) to express the alternating series.
SUM (from n=0 to ∞) = (-1)^n * (1 / (4n+4)).
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50 points!! pls answer
Draw a diagram to show the given information.
Given: M is the midpoint of segment RX. Line JK is the perpendicular bisector of segment RX.
Answer:
liar it only 25 points but its ok i like to help the answer is m is the midpoint of the segment RX uw u welcome
Step-by-step explanation:
Answer:
The midpoint is M
Step-by-step explanation:
Because if the midpoint is m for RX it has to be the same for JK.
a piece of wire 22cm long is sent into an arc of a circle of radius 4cm . what angle does the wire subtend at the centre of the circle
\(\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ s=22\\ r=4 \end{cases}\implies 22=\cfrac{\theta \pi (4)}{180}\implies 22=\cfrac{\theta \pi}{45} \\\\\\ (22)(45)=\theta \pi \implies \cfrac{(22)(45)}{\pi }=\theta \implies 315.13\approx \theta\)