Answers
Using translation concepts, the image of the kite after the reflection over the line y = x is given on the graph at the end of the answer.
What are transformations on the graph of a function?Transformations in the graph of a function involve operations such as multiplication/division or sum/subtraction, either in the domain of the function, involving values of x, or the range, involving values of y.
Examples of transformations are as follows:
Translation: Translation left/right or down/up.Reflections: Over one of the axes or over a line.Rotations: Over a degree measure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor.The rule for a reflection over the line y = x is given by:
(x,y) -> (y,x).
The vertices of the kite are given as follows:
S(-6,5), R(-5,6), P(-5,4), Q(1,5).
After the reflection, the vertices of the image are given as follows:
S'(5,-6), R'(6,-5), P'(4,-5), Q'(5,1).
The image of the kite after the reflection over the line y = x is given on the graph at the end of the answer, with the vertices labeled.
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Related Questions
At age 20, a person deposits $395 in a savings account paying 1% interest compounded quarterly. How much money will be in the account 60 years later, when he is 80 years old? Would his savings have tripled in that time?
Answers
The amount in the account after 60 years is $719.
His saving has not tripled after 60 years.
What is compound interest?
Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.
We have,
Principal = $395
Rate = 1%
Number of years = 60
The amount compounded quarterly is given by:
A = P [ 1 + (R/4)/100 [tex]]^{4n}[/tex]
P = principal
R = rate
n = number of years
A = 395 [ 1 + 1/400 [tex]]^{4 \times{60}}[/tex]
A = 395 [ 1 + 1/400 [tex]]^{240}[/tex]
A = 395 [ 1 + 0.0025 [tex]]^{240}[/tex]
A = 395 [ 1.0025 [tex]]^{240}[/tex]
A = 395 x 1.8207549953165
A = 719.19625
A = $719
Thus the amount in the account after 60 years is $719.
His saving has not tripled after 60 years.
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Two angles of a triangle have the same measure and the third one is 48 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.
Answer: The LARGEST angle has a measure of
degrees.
Answers
The LARGEST interior angle of the triangle has a measure of 92 degrees.
What is the largest angle of the triangle?The sum of the interior angle of a triangle is 180 degrees.
Given the data in the question;
Let x represent the measure of the first two angles.
Since they have same measurements.
Measure of angle 1 = xMeasure of angle 2 = xMeasure of angle 3 = x + 48Since the sum of the interior angle of a triangle is 180 degrees.
m∠1 + m∠2 + m∠3 = 180°
x + x + x+48 = 180
3x + 48 = 180
3x = 180 - 48
3x = 132
x = 132/3
x = 44°
Measure of the largest angle will be;
Measure of angle 3 = x + 48 = 44 + 48 = 92°
Therefore the LARGEST interior angle of the triangle has a measure of 92 degrees.
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solve for m + 1/4 < -1 2/5
Answers
The solution for the equation m + ( ¼ ) < -1 ( 2/5 ) is m < -1 ( 13/20 )
Given,
The equation: m + ( ¼ ) < -1 ( 2/5 )
We have to solve this:
m + ( ¼ ) < -1 ( 2/5 )
Subtract (1/4) from both sides:
That is,
m + ( ¼ ) – ( ¼ ) < -1 ( 2/5 ) – ( ¼ )
Here, ( ¼ ) – ( ¼ ) becomes 0.
Then,
m + 0 < -1 ( 2/5 ) – ( ¼ )
m < -1 ( 18-5 / 20 )
m < -1 ( 13/20 )
That is, the solution for the equation m + ( ¼ ) < -1 ( 2/5 ) is m < -1 ( 13/20 )
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TechWiz Electronics makes a profit of $35 for each MP3 player sold and $18 for each DVD player sold. Last week, TechWiz sold a combined total of 129 MP3 and DVD players.
Let x be the number of MP3 players TechWiz sold last week. Write an expression for the combined total profit (in dollars) TechWiz made from MP3 and DVD players last week.
Answers
According to the given statement
Combined total profit (in dollars) TechWiz made from MP3 and DVD players last week is (7x+2268)
What is Total Profit?Total Profit is the sum of the following amounts (before taxes): I the amount received by Grantee pursuant to Issuer's repurchase of the Option (or any portion thereof) pursuant to Section 7; (x) the amount received by Grantee pursuant to Issuer's repurchase of Option Shares pursuant to Section 7 less (y) the Grantee's purchase price for such Option Shares; and (x) the net cash amounts received by Grantee pursuant.
According to the given value;
Number of Number of MP3 = X
Number of Number of DVD,= (126-x)
so
Profit from MP3 = 35 x
Profit from DVD = 18 (126-x)
Total = 35X+18 (126-x)
= 35x +2268-18x
= (7x+2268)
Hence,Combined total profit (in dollars) TechWiz made from MP3 and DVD players last week is (7x+2268).
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Use the formula m =
V2 - V1
*2-X1
line.
The slope of the line is
to calculate the slope of the?
Answers
Answer:
Step-by-step explanation:
Step 1: Define
Point (2, 8)
Point (-6, -8)
Substitute in points [SF]: m= -8-8/-6-2
[Fraction] Subtract: m=-16/-8
[Fraction] Divide: m=2
The slope of the line joining points (2, 8) and (-6, -8) is 2.
A straight line is a line plotted on the Cartesian plane. The line is generally written in the form y = mx + c, where m is the slope and c is the intercept of the straight line. The slope of the line can be obtained by using many formulae but if two points are given then the following formula is used:
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex].
The given points are (2, 8) and (-6, -8).
So, [tex]x_1 = 2, y_1 = 8, x_2 = -6,[/tex] and [tex]y_2 = -8[/tex].
The formula to find the slope of the straight line is
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]= \dfrac{-8-8}{-6-2} \\= \dfrac{-16}{-8}\\= \dfrac{16}{8}\\= 2[/tex]
Therefore, the slope of the given line is 2.
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The complete question is as follows:
Use the formula m = [tex]\dfrac{y_2 - y_1}{x_2 - x_1}[/tex] to find the slope of the line joining points (2, 8) and (-6, -8).
For these data, which measures of central tendency take more than one value? Choose all that apply
Answers
Answer:
Step-by-step explanation:
In ALMN, l= 97 cm, m = 52 cm and ZN=39°. Find ZL, to the nearest degree.
Answers
Answer: In ALMN, l= 97 cm,
m = 52 cm,
ZN=39°,
ZL= 66°
Step-by-step explanation:
Given data,
In ALMN, l= 97 cm, m = 52 cm and ZN=39°.
The law of cosines can be used to find the missing side.
n² = m² +n² -2ml·cos(L)
n² = [tex]52^{2}[/tex] + [tex]97^{2}[/tex] - 2(52)(97). cos (39°)
n² = 9409 + 2704 - 2(52)(97). cos (39°)
n² = 12113 - 2(52)(97). cos (39°)
n² = 12113 - 10088 cos (39°) (eq - 1)
So, that cos (39°) = 0.777
Substitute cos (39°) value in this equation 1
So,
We can write,
n² = 12113 - 10088* 0.777
n² = 12113 - 7838.3
n² = 4274.62
n = √4274.62
n = 65.38 ≅ 66
Therefore,
In ALMN, l= 97 cm,
m = 52 cm,
ZN=39°,
ZL= 66°
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Micah had $76.10 in his bank account. He earned $18 washing his uncle’s car and then deposited the money in his account. What is his new account balance?
Answers
Answer:
$94.10
Step-by-step explanation:
$76.10 + $18.00 = $94.10
10C5 use the formula for nCr to evaluate given expression.
Answers
Answer:
The value of ¹⁰C₅ using [tex]\;^nC_r[/tex] formula is 252.Step-by-step explanation:
Given that
¹⁰C₅To find
The value of ¹⁰C₅ using [tex]\;^nC_r[/tex] formula.So according the question
We know that,
Combination, also known as [tex]\;^nC_r[/tex], is the process of choosing r objects from a group of n objects so that the order of the objects is irrelevant. The following is the formula to find combinations of r objects from n objects:
[tex]\;^nC_r = \frac{n!}{r!(n-r)!}[/tex] and from question.n = 10r = 5Now, put the value of n and r in [tex]\;^nC_r[/tex] formula.
So, we get
[tex]\;^nC_r = \frac{n!}{r!(n-r)!}[/tex]
[tex]\;^{10}C_5 = \frac{10!}{5!(10-5)!}[/tex]
∵ n! = n×(n-1)×(n-2)×........................×3×2×1∴ 5! = 5×4×3×2×1∴ 10! = 10×9×8×7×6×5![tex]= \frac{10\times9\times8\times7\times6\times5!}{5! \;\;5!}[/tex]
[tex]= \frac{10\times9\times8\times7\times6}{5\times4\times3\times2\times1}[/tex]
[tex]= {\times9\times2\times7\times2}[/tex]
[tex]= {252}[/tex]
Answer:
The value of ¹⁰C₅ using [tex]\;^nC_r[/tex] formula is 252.To learn more about Combination please click on the link
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Airlines limit the size of carry-on luggage, so that the sum of the length, width, and height of a piece of luggage cannot exceed 55 inches. A passenger has a box with a base which measures 15 inches by 20 inches. Which inequality represents the possible height (h) of the box, so that the airline will allow it to be carried on the plane?
Answers
The inequality that represents the possible height (h) of the box is h ≤ 20
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let h represent the height of the box. The base measures 15 inches by 20 inches and the height cannot exceed 55 inches. Hence:
height + length + width ≤ 55
h + 20 + 15 ≤ 55
h ≤ 20
The inequality that represents the possible height (h) of the box is h ≤ 20
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3 0.24 divided by 0.4
Answers
Answer:
0.6
Step-by-step explanation:
0.24 divided by 0.4 equals to 0.6.
[tex]0.24 \div 0.4 = 0.6[/tex]
Answer:
0.6
Step-by-step explanation:
A grocery store sells a bag of 4 oranges for $1.04. If Jace spent $2.34 on oranges, how many did he buy?
Answers
Answer: 9 oranges
Step-by-step explanation:1.04/4=0.26
1 orange =0.26
2.34/0.26=9 oranges
Answer:
$2.86
Step-by-step explanation:
1.04 divided by 4 is 0.26 per orange. So 0.26 times 11 is 2.86
Please give brainliest
If f ( x ) = – 2 x + 3 then f ( 3 ) – f ( 4 ) =
Answers
For the function f ( x ) = – 2 x + 3, the value of f ( 3 ) – f ( 4 ) will be 2
What is a function?A function in mathematics from a set X to a set Y allocates precisely one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
Given,
f ( x ) = – 2 x + 3
f(3) = -2(3) + 3
= -6 + 3
f(3) = -3
f(4) = -2(4) + 3
= -8 + 3
= -5
f ( 3 ) – f ( 4 ) = -3 + 5
= 2
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You consider buying a phone from one of two cell phone carriers. The table shows the total costs (in dollars) of the phone and service for different numbers of months at Carrier A. The total cost $y$y (in dollars) of the phone and x$x$x months of service at Carrier B is represented by the equation y is equal to 55 x plus 300$y=55x+300$y=55x+300 . Which carrier has the lower initial fee?
Answers
Answer:
Carrier B
Step-by-step explanation:
The linear equation that represents Carrier B is y=55x+300. it's a linear equation so 55 represent the monthly fee and 300 represents the initial fee. So the initial fee of carrier B is 300. In case of Carrier A, the total cost increases by $150 as months increases by 3. So The initial fee of Carrier A is 500-150=$350 . Hence, Carrier B has lower initial fee.
What’s the correct answer asap for brainlist
Answers
Deleterious means to do harm and the sentence used it as a name for a muscle.
A. Is correct, prodigious means grand or large, describing the dessert.
C. Is correct, ominous means threatening like the storm.
What is the FIRST STEP to complete (on each side of equation)
when solving this equation?
5x+7 = 12
Divide by 5
Subtract 7
Subtract 5
Multiply by 7
Answers
Answer:
Subtract 7 (from both sides)
Step-by-step explanation:
The goal is to get x by itself. The first step in this equation to accomplish that would be to get the term having the variable on one side and the constant(s) on the other.
On Saturday, some adults and some children were in a theatre. AC
The ratio of the number of adults to the number of children was 4:3.
Each person had a seat in the Circle or had a seat in the Stalls.
of the children had seats in the Stalls.
114 children had seats in the Circle.
13
There are exactly 1100 seats in the theatre.
On this Saturday, were there people on more than 70% of the seats?
You must show how you get your answer.
Answers
If 114 kids were seated in the stall, just 21% of the seats were filled.
If 117 youngsters were seated in the circles, then yes, more than 60% of the seats were filled.
A third of the kids were seated in the stalls.
if there are 117 kids who can fit in the stalls.
Given that 3/4 of the children had chairs in the stall and x children, we have:
3/4*x = 3/4x.
There were 117 kids in the 3/4 portion.
= 3/4 of x = 117
= 3x/4 = 117
3x =117 x 4
3x = 468
x = 156 kids overall.
39 kids sat in the circle, compared to 117 in the stalls.
The number of adults to children was 5:2, which equals 5+2 to 7.
Use the ratio of children to represent as y and the total number of individuals to determine. So, here we are
2/7 of y = 156
2y/7 = 156
2y = 156x7
2y= 1092
y = 546
In all, 546 persons are present, and 546 of the 2600 seats are occupied by them. We now have:
546 / 2600 = 0.21 = 21%.
If there were 117 kids in the circle, there would be 117 x 4 = 468 kids (total number of children)
Consequently, considering the ratio: 2/7 of y = 468 = 2y = 468x7
2y = 3276
y= 1,638
There are therefore 1,638 individuals present in all, and 1,638 of the 2600 seats are occupied by them. We now have:
1638 / 2600 = 0.63 = 63%.
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Solve the inequality.
-12
The solution is:
Graph the solution.
Answers
Answer:
13
Step-by-step explanation:
salu grt it
need someone to help me quick please
Answers
Answer:
the answer is no relation
Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long. Round to the nearest degree.
Answers
Answer:
Approximately [tex]36^{\circ}[/tex], assuming that the tree is upright.
Step-by-step explanation:
Refer to the diagram attached. The upright tree and its shadow are in a right triangle. In this right triangle, the angle of elevation of the sun would be the angle adjacent to the shadow of this tree. At the same time, this angle would be opposite to the side representing the tree. Thus, the tangent of this angle could be represented as:
[tex]\begin{aligned}\tan(\text{angle of elevation}) &= \frac{\text{opposite}}{\text{adjacent}} \\ &= \frac{10\; \text{yard}}{14\; \text{yard}} \\ &= \frac{5}{7}\end{aligned}[/tex].
Take the arctangent of this value to find the measure of this angle:
[tex]\begin{aligned} (\text{angle of elevation}) &= \arctan(\tan(\text{angle of elevation})) \\ &= \arctan\left(\frac{5}{7}\right) \\ &\approx 0.620 \times \frac{360^{\circ}}{2\, \pi} \\ &\approx 36^{\circ}\end{aligned}[/tex].
Thus, the angle of elevation of the sun at this moment would be approximately [tex]36^{\circ}[/tex].
Ashley runs 11 miles in 95 minutes. How many miles does she run per minute? miles per minute
Answers
Answer:
0.11578947368 mil/min
Step-by-step explanation:
11/95=0.11578947368
Answer:
8.6 miles
Step-by-step explanation:
95 mins divided by 11 miles= amount of minutes per mile
please help
please hury
Answers
The relation that is a function is relation (b)
How to determine the relation that is a function?The ordered pairs in the option represent the given parameters
For a relation (i.e. the ordered pairs) to be a function, the following must be true:
Each y value on the ordered pair must have exactly one x value
i.e. no x value must point to the different y value
Having said that the relation that is a function is relation (b)
Hence, the the relation that is a function is relation (b)2
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Question is in photo
Answers
Answer:
Initial temp is 20 degrees C
Function shows decay
Temp changes by 97% every minute
Step-by-step explanation:
The temperature as a function of time is:
C(t)=20(0.97)[tex]t^{2}[/tex]
when t = 0, C(0) = 20(0.97)0, or -20(1) = 20C
The temperature changes by 0.97, or 97% every minute.
Jana bought 15 grapefruit. They were selling 3 for $2.
How much did she spend?
Answers
Answer: 10$
Step-by-step explanation: 15 divided by 3 is 5. 5 times 2 is 10. Therefore, the answer is 10 $
Answer ASAP but only if you are SURE about it
Answers
Answer:
It's A, 6.86 × 10⁴
Step-by-step explanation:
In scientific notation, you have the base, and the 10. The 10 is represented next to an exponent, whereas the base is a whole number and a decimal. If the decimal is moved right, the exponent following the 10 becomes negative. Left, it becomes positive. In this instance, the decimal is being moved left, thus the exponent is positive.
Answer:
A
Step-by-step explanation:
All my work is provided in the attached Screenshot! :)
A figure is fully contained in quadrant III. The figure is transformed as shown.
a reflection over the x-axis
a reflection over the line y=x
a 90 degree clockwise rotation around the origin
In which quadrant does the resulting image lie?
Question 3 options:
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answers
Answer:
IV i think
Step-by-step explanation:
Step-by-step explanation:
at the beginning it is in quadrant III.
that means in the bottom left quadrant (where all x and all y are negative).
the reflection over the x-axis brings it up into quadrant II (upper left quadrant).
the line y = x is the line that goes like a 45° diagonal from the bottom left to the top right.
when reflecting our figure over this line, it brings it from quadrant II into quadrant IV (the bottom right quadrant).
and now, a 90° clockwise rotation moves it by one quadrant in clockwise direction. that brings it back into quadrant III.
Which whole number property is represented?
5 × (10 + 7) = (5 × 10) + (5 ×7)
Associative Property of Multiplication
Identity Property of Multiplication
Distributive Property of Multiplication
Commutative Property of Multiplication
Answers
5 × (10 + 7) = (5 × 10) + (5 ×7) whole number property is represented by
distributive property of multiplication.
As given in the question,
Given number : 5 × (10 + 7) = (5 × 10) + (5 ×7)
Here whole number 5 is first multiplied to addend 10 and then whole number 5 is multiplied to addend 7.
Then, their products are added.
This is represented by property of Distributive Property of Multiplication.
Therefore,5 × (10 + 7) = (5 × 10) + (5 ×7) whole number property is represented by distributive property of multiplication.
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Answer:
Distributive Property of Multiplication
Step-by-step explanation:
The Distributive Property of Multiplication states that multiplying a number by a group of numbers added together is the same as multiplying each number separately:
[tex]\large\text{$a(b + c) = ab + ac$}[/tex]
Therefore, applying the Distributive Property of Multiplication to the given expression:
⇒ 5 × (10 + 7) = 5(10) + 5(7)
--------------------------------------------------------------------------------------------
Here are the definitions of the other properties for information purposes:
Associative Property of Multiplication
The grouping of numbers by parentheses in a different way does not affect their product.
[tex]\large\text{$(a \times b) \times c = a \times (b \times c) = (a \times c) \times b$}[/tex]
Identity Property of Multiplication
This property is also known as the identity property of one.
Multiplying any number by 1 does not change the number, i.e. the number keeps its identity.
[tex]\large\text{$a \times 1 = a = 1 \times a$}[/tex]
Commutative Property of Multiplication
Changing the order or position of two numbers does not change the end result.
[tex]\large\text{$a \times b = b \times a$}[/tex]
why do you get different answers for -5^2 and (-5)^2. And why is one positive (33) and one negative (-18) !!
Answers
Answers to both the given expressions are the same that is 25 and both answers are positive.
What are exponents?The number of times a number is multiplied by itself is referred to as its exponent. For instance, 2 to the third (written as 23) means: 2 x 2 x 2 = 8. 2 x 3 = 6 does not equal 23.Product of powers rule — When multiplying like bases, add powers together.When dividing like bases, apply the power quotient rule.Power of powers rule — When raising power by another exponent, multiply the powers together.So,
-5² = -5 × -5 = 25Similarly,
(-5)² = -5² = -5 × -5 = 25Hence, we can say that the answers to both the expressions are the same and both have positive answers.
As, when we take a square of any negative number, after the multiplication the results always come positive.Therefore, the answers to both the given expressions are the same that is 25 and both answers are positive.
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Given f(x) = -5x – 3, find ƒ(-6).
Answers
hi
f(x) = -5x – 3,
then f(-6) = -5 (-6) -3
= -11 -3
= -14
To find a baseball pitcher's earned run average (ERA), you can use the formula El=9r, in which E
represents ERA, I represents the number of Innings pitched, and r represents the number of earned runs allowed.
Solve the equation for E. What is a pitcher's ERA if he allows 15 earned runs in 36 innings pitched?
If necessary, round your answer to the nearest hundredth.
The equation for E is E= _____?
If a pitcher allows 15 earned runs in 36 innings, then the ERA= ____?
Answers
The value of the ERA is the 3.75.
According to the statement
We have to find that the value of the ERA.
So, For this purpose, we know that the
ERA is the number which represents the average number of earned runs given up by the pitcher per nine innings.
From the given information:
First, we are given the formula E * i = 9 * r.
Second, we are asked to resolve for E. If i doesn't equal zero, then we are able to divide both side of this equation by i. (Note that i = the quantity of innings pitched, which isn't zero.) We then have the equation E = (9 * r) / i.
Third, we are given some numerical values for our variables, and asked to use this equation to unravel for E.
Substituting r = 15 (earned runs allowed) and that i = 36 (innings pitched) into the equation and that we have
E = (9 * 15) / 36 = 3.75 (rounded to the closest hundredth)
So, The value of the ERA is the 3.75.
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