The distance that a function's graph moves above and below its midline is referred to as its amplitude. When graphing a sine function, the amplitude's value corresponds to the sine function's coefficient.
What is amplitude?The distance that a function's graph moves above and below its midline is referred to as its amplitude. When graphing a sine function, the amplitude's value corresponds to the sine function's coefficient. The height between the center line and the peak is known as the amplitude (or to the trough). Alternatively, we might multiply the height from highest to lowest places by 2. The Phase Shift is the horizontal displacement of the function from its initial point.
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A spinner has four sections A,B, C and D.
Pls solve this asap.
Answer:
0.35
Step-by-step explanation:
since there are only 4 sides the probability of all 4 should equal 1
0.2+0.3+0.15
0.5+0.15
0.65
1-0.65
0.35 is the probability of D
Hopes this helps please mark brainliest
In the next door school café, Petri café, they sell apples and pears. One
day they discover that as many apples as pears are rotten, ⅔ of all apples
are rotten and that ¾ of all pears are rotten.
What proportion of the total number of apples and pears were rotten?
Simplify your answer
A total of 81 apples and 72 spears are there in total.
What are ratios and proportion?Ratio is a quantitative relation between two amounts showing the number of times one value contains or is contained within the other. A statement expressing the equality of two ratios A:B and C:D is called a proportion. We can express proportion as -
A : B ∷ C : D
AND
A x D = B x C
Product of extremes equal to product of means.
Given is in a Petri café they discovered that as many apples as pears are rotten, ⅔ of all apples are rotten and that ¾ of all pears are rotten.
Assume that there are [x] apples and [y] pears in total.
Then, rotten apples = 2x/3
rotten paears = 3y/4
Since, they are equal, we get -
2x/3 = 3y/4
2x (4) = 3y (3)
8x = 9y
The whole number coordinates satisfying the equation are - (81, 72). Refer to the graph attached.
Therefore, a total of 81 apples and 72 spears are there in total.
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Solve the compound inequality. Graph the solution set and write it in interval notation
x< 1 and and x > -5
help asap! only the solution set
The interval notation of the compound inequality (x < 1) and [x > (-5)] is
[(-5) < x < 1], and the graph of it's solution set is a straight line lying on the x-axis from 1 to (-5).
As per the question statement, we are provided with a compound inequality (x < 1) and [x > (-5)],
And we are required to determine the interval notation of the above mentioned compound inequality, and graph it's solution set.
Now, the interval notation of a compound inequality is simply the combination of the separate inequalities, that is, the interval notation of the compound inequality (x < 1) and [x > (-5)] is [(-5) < x < 1].
And since "x" is less than 1, but greater than (-5), the values in the solution set of [(-5) < x < 1] are (0, -1, -2, -3, -4), and the graph of these values is a straight line lying on the x-axis from 1 to (-5).
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what function creates a scatterplot and then adds a small amount of random noise to each point in the plot to make the points easier to find?
The geom_jitter() function is the function creates a scatterplot and then adds a small amount of random noise to each point in the plot to make the points easier to find
Given that,
In order to make the points in the plot easier to find, function first creates a scatterplot and then adds a small amount of random noise to each point in the plot.
Generally, To make the points in the scatterplot easier to find, the geom jitter() method first builds a scatterplot and then adds a little amount of random noise to each point in the plot.
What is the purpose of the Geom jitter () function? Description. The geom point (position = "jitter") shortcut is the jitter geom. It is a practical method of managing overplotting brought on by discreteness in smaller datasets by adding a little degree of random variation to the location of each point.
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The geom_jitter() function is a funcreates a scatterplot and then adds a small amount of random noise to each point in the plot to make the points easier
Given that,
Function first makes a scatterplot, then adds a small amount of random noise to each point in the plot to make the points in the field easier to find.
The geom jitter() method often produces a scatterplot first, then adds a small amount of random noise to each point in the plot to make the points in the field easier to find.
What does the Geom jitter () function do? The jitter geom is the shortcut geom point with a position equal to "jitter". It is a helpful technique for controlling overplotting caused by discreteness in smaller datasets by giving each point's location a small amount of random variation.
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What is the answer to this question
Answer:
negative
Step-by-step explanation:
because the line falls from left to right, the line has a negative slope. =)
Answer: Negative
Step-by-step explanation:
This line is "going down the stairs," or starting from the upper lefthand side to the bottom righthand side. This means we have a negative slope.
If you need to find the slope;
We will use the "rise over run" method. Starting at (-2, 3) we will count 4 units down and three units right to (1, 1) for a slope of -4/3.
You can see this graph has also shown the change of -4 in the y and the change of 3 in the x.
how long does a ford raptor traveling at 75 mph take to travel 259 mi, in hours
A. 0.4
B. 10/3
C. 0.3
D. 175
Answer:
3.45 hours. The closest answer option to this value would be (10/3), which is technically 3.3333 hours, but it is the closest correct option, by far. 3.333 hours would suggest the distance was 250 miles, not 259 (250/75) = 3.33333)
Step-by-step explanation:
Distance, D, is found by multiplying the speed (75 mph) times the time, x (in hours. If distance is 259 miles, we can write:
259 miles = (75 miles/hr)*x
Rearrange to find x [divide both sides by (75 miles/hr):
x = (259 miles/(75 miles/hr)
Note the units: miles cancel and hours moves to the top, leaving only hours, which is what we want.
(259 hours)/75 = 3.45 hours
in a rhombus, all the side lengths are $10,$ and one of the angles is equal to $120^\circ.$ find the area of the rhombus.
The area of the rhombus is 50[tex]\sqrt{3}[/tex] .
Given:
In a rhombus, all the side lengths are $10,$ and one of the angles is equal to $120^\circ.
If angle = 120 the its half is 60 which forms a right angled triangle.
sin 60 = Height / 10
[tex]\sqrt{3}[/tex]/2 *10 = height
height = 5[tex]\sqrt{3}[/tex].
Area of rhombus = base * height
= 10*5[tex]\sqrt{3}[/tex]
= 50[tex]\sqrt{3}[/tex] .
Therefore the area of the rhombus is 50[tex]\sqrt{3}[/tex] .
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What are 2 congruent segments?.
Segments that are congruent are same in length. Collinear points are those that share a line. A mathematical claim that can be supported by evidence is called a theorem. A segment's midpoint is the point at which it is divided into two congruent segments.
What are congruent segments?
Segments that are congruent have the same length. Collinear points are those that share a line. A mathematical claim that can be supported by evidence is called a theorem. A point that separates a segment into two congruent segments is the segment's midpoint.What is an example of congruent segments?
Any line segment with equal measure is referred to as a congruent line segment. Congruent line segments, for instance, refer to the sides of an equilateral triangle since they all have the same length.Learn more about congruent segments
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Solve the equation 6 1/9m+ 3 1/3m = 28 1/3 for m. HELPPPP SOMEBODY
The value of m on solving the equation 6 1/9m+ 3 1/3m = 28 1/3 is 3
We need to solve the equation
6 1/9m+ 3 1/3m = 28 1/3 for m
converting mixed fractions into improper fractions
55/9 m + 10/3 m = 85/3
Upon taking L.C.M.
55/9 m + 10x3/3x3 m = 85/3
(55 + 30)m/9 = 85/3
3 x 85m = 85 x 9
m = 3
Therefore, the value of m on solving the equation 6 1/9m+ 3 1/3m = 28 1/3 is 3
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consider an interval from 0 to 1 with ten uniformly distributed points in it. what is the distribution of the difference between the 6th and the 5th smallest point?
Answer: It has to be between 0.1 to 0.3
Step-by-step explanation:
2/4= =
fraction present decimal
Answer:
0.5
Step-by-step explanation:
2/4
= 1/2
Multiply 5 to both numerator and denominator.
= 1/2 x 5/5
= ( 1 x 5 )/( 2 x 5 )
= 5/10
= 0.5
Given the properties, write a quadratic function for:
f(3+sqrt(2))=f(3-sqrt(2))=0
if f(1)=-8
Quadratic function for the given properties is [tex]y=-4x^{2} +24x-28[/tex].
The roots are [tex]3+\sqrt{2}[/tex] and [tex]3-\sqrt{2}[/tex]; that means the axis of symmetry is x=3; which means the vertex has x coordinate 3. Then the vertex form of the equation is
[tex]y = a(x-3)^{2}+k[/tex]
Then since y is 0 when x is [tex]3+\sqrt{2}[/tex],
[tex]0=a(\sqrt{2} )^{2} +k[/tex]
[tex]0=2a+k[/tex] (1)
And when x = 1, y = -8,
[tex]-8 = a(-2)^{2}+k[/tex]
[tex]-8=4a+k[/tex] (2)
Then from equations (1) and (2)
[tex]-8=2a[/tex]
[tex]a = -4[/tex]
And then from either equation (1) or (2), k = 8.
So the equation is
[tex]y = -4(x-3)^{2}+8[/tex]
[tex]y=-4(x^{2} -6x+9)+8[/tex]
[tex]y=-4x^{2} +24x-28[/tex]
Solving this equation using the quadratic formula verifies that the roots are [tex]3+\sqrt{2}[/tex] and [tex]3-\sqrt{2}[/tex]; evaluating the expression for x=1 verifies that the y value is -8.
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Which statement best represent the equation of the lone shown on the grid and it’s relationship?
The equation of the line is y = 2 and is parallel to the x-axis.
The equation of the line is [tex]y = 2[/tex] and is parallel to the x-axis.
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
As per the given graph, the equation of line which is parallel to the x-axis is [tex]y=2[/tex].
Draw the graph
Hence, the equation of line which is parallel to the x-axis is [tex]y=2[/tex].
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What is the image point of (-3,0) after the transformation T3,5 o D₂?
The image of the point (-3,0) after the given transformation is (0,5) and this can be determined by using the rules of transformation.
What are translations rules?An operation known as a transformation involves moving, flipping, or altering the preimage to produce a new shape (called the image). An example of a transformation is a translation, which moves every point in a figure uniformly and in one direction.Although there are many different types of linear transformations, just a few are common. Here, we examine rotations, reflections, shears, dilations, and projection.The following steps can be used to determine the image of the point after transformation:
As per the given data translate the point (-3,0) by (3,5).
[tex]( x, y )[/tex] = [tex]( x + 3, y+ 5)[/tex] = (0, 5)
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a store sells coffee beans for $8 per bag. if a bag contains 5 lbs., find the cost of coffee beans per pound.
The cost of the coffee beans per pounds is 1.6 pounds.
Given that,
Coffee beans are available in stores for $8 per bag.
We have to find the price of coffee beans per pound if a bag weighs 5 pounds.
one lb is one pound.
To convert it from pounds to kilogram's, increase it by 1. (or just change the unit). This shows that the number of pounds is exactly the same.
Let us take the cost as x.
We get,
5x=8
x=8/5
x=1.6
Therefore, The cost of the coffee beans per pounds is 1.6 pounds.
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I would like to know what the equation would be.
I forgot how to do this stuff
hi so were learning to do multi step equations i dont get it so could you tell how to do it and make really easy i am in the lower class
Answer:
Step-by-step explanation:
First, Multiply to clear any fractions or decimals, this is OPTIONAL THOUGH, IF YOU DO NOT MIND WORKING WITH THEM
Then, Simplify each side by clearing parentheses (e.g. (5x6) and combine the like terms (e.g. 5 and 2, -3 and -92)
Use the properties of equality to isolate the variable
Check the solution
7. Write each expression in exponential form. a) (5 x 5 x 5) x (5 x 5 x 5) x (5 x 5 x 5) x (5 × 5 ×,5)
b) [(-9) × (-9)] x [(-9) × (-9)] × [(-9) × (-9)] x [(-9) × (-9)] × [(-9) × (-9)]
Answer: A. (5³) x (5³) x (5³) x (5³)
B. (-9²) x (-9²) x (-9²) x (-9²) x (-9²)
Step-by-step explanation: 5x5x5=5³ we have four 5³
9x9=9² we have five 9²
What is SSS SAS ASA AAS?.
Answer:
SSS means Side-Side-Side. SAS means Side-Angle-Side. ASA means Angle-Side-Angle. AAS means Angle-Angle-Side.
Hopes this helps! :)
skiing eight people compete in a downhill ski race. assuming that there are no ties, in how many different orders can the skiers finish?
Eight people skiing downhill in a race can finish in 40,320 different orders.
Calculating probabilities for a set of possibilities keeping in account the order they are in is called permutation ([tex]{n}_P_{r}[/tex]).
If we overlook the order, it becomes a problem of combination ([tex]{n}_C_{r}[/tex]).
Permutation plays an important role in probability problems where the order of the possible outcomes is concerned. It does not allow repetition of outcomes.
Mathematically, permutation can be represented as:
[tex]{n}_P_{r}=\frac{n!}{(n-r)!}[/tex]
where 'n' represents the total objects/values/instances and 'r' represents our selected number of objects/values/instances.
In this case, we have total 8 drivers (n=8) and 8 positions we are selecting i.e. the order skiing people finish in (r=8);
[tex]{n}_P_{r}=\frac{8!}{(8-8)!}=\frac{8!}{0!}=\frac{40320}{1}[/tex]
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Ruben bought 6 new books for his collection. This increased his collection by 12% How many books did he have before this purchase? Please explain
Answer:
Ruben had 50 booksStep-by-step explanation:
Let the initial number of books be x.
Set equation:
x + 6 = x + 12%x + 6 = x + 0.12x0.12x = 6x = 6/0.12x = 50Answer:
50 books
Step-by-step explanation:
Forming the equation,
→ x + ((x/100) × 12) = x + 6
Now the value of x will be,
→ x + ((x/100) × 12) = x + 6
→ x - x + (12x/100) = 6
→ 0.12x = 6
→ x = 6/0.12
→ [ x = 50 books ]
Hence, answer is 50 books.
A Car travelled from Suva to sigatoka at an average Speed of 50km/hr Covering distance of 125 km.
a.) Calculate the time taken for the Journey.
The time taken to cover Suva to Sigatoka is 2 Hours and 30 Minutes.
We know that, Time taken = (Distance Covered)/(Average Speed)
Given that the car travelled from Suva to Sigatoka and travelled 125 Km.
Average speed is = 50 km/hr
So the time taken to cover the distance = 125/50 = 5/2 hr = 2 hours and 30 minutes.
Hence the time taken to cover Suva to Sigatoka is 2 Hours and 30 Minutes.
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Christa purchases a rare vase for £940. She wants to sell it for a higher price so that she makes a profit of 15%. How much should she try to sell the vase for?
The amount she should try to sell the rare vase to make profit of 15% would be = £1,081.
What is profit amount?Profit amount is defined as the amount of money received by an individual that is an extra amount gained when compared with the cost price of the item.
The cost price of the rare vase = £940
The percentage profit seeked for = 15% of cost price.
That is;
15/100 × 940
= 14,100/100
= £141
The profit Christa seeks= £141 additionally.
Therefore, she should attempt to sell it at a price of 940 + 141 = £1,081.
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How would I go about doing this?
⇒The shape in the picture is a pentagon because it has five sides.
⇒ The sum of the interior angles of a pentagon is 540°
meaning:
[tex]4x+(3x+3)+(5x-2)+103+100=540\\[/tex]
⇒As a results you can see above we have an equation that can enable us to solve for x.
⇒Solving for x we have
[tex]4x+3x+5x+3-2+103+100=540\\[/tex]
⇒Now let us simplify like terms since we have grouped them already.
[tex]12x+204=540\\12x=540-204\\12x=336\\\frac{12x}{12} =\frac{336}{12} \\x=28[/tex]
∴ x=28°
Note I have written the equation above, as the first step.
Write an equation of the line in point-slope form that passes through the given points.
(4,-3/4) and (2,5/4)
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-\frac{3}{4}})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{\frac{5}{4}}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{\frac{5}{4}}-\stackrel{y1}{\left( -\frac{3}{4} \right)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{4}}} \implies \cfrac{~~ \frac{5 }{4 }+\frac{3}{4} ~~}{-2} \\\\\\ \cfrac{~~ \frac{ 5+3}{ 4} ~~}{-2}\implies \cfrac{~~ \frac{8 }{4 } ~~}{-2}\implies \cfrac{2}{-2}\implies -1\qquad \impliedby m[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{\left(-\frac{3}{4} \right)}=\stackrel{m}{-1}(x-\stackrel{x_1}{4})\implies {\large \begin{array}{llll} y+\cfrac{3}{4}=-(x-4) \end{array}}[/tex]
Nasim is working two summer jobs, making $9 per hour walking dogs and $8 per hour clearing tables. Nasim must earn no less than $130 this week. Write an inequality that would represent the possible values for the number of hours walking dogs, dd, and the number of hours clearing tables, cc, that Nasim can work in a given week.
The inequality that would represent the possible values for the number of hours walking dogs is 9d + 8c ≥ 130
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
Let number of hours walking dogs = d
Let number of hours clearing tables = c
The appropriate inequality is 9d + 8c ≥ 130.
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find the slope of the best least squares line through the three points (-2, 4), (0, 3), (2, 0). enter your answer rounded to five correct digits after the decimal point.
The slope of the best least squares line through the three points (-2, 4), (0, 3), (2, 0) is -1.
Given:
Three points (-2, 4), (0, 3), (2, 0).
x y x^2 xy
-2 4 4 -8
0 3 0 0
2 0 4 0
∑ 0 7 8 -8
[tex]SS_{xx}[/tex] = ∑[tex]x^{2}[/tex] - 1/n(∑x)^2
= 8 - 1/3(0)^2
= 8 - 1/3*0
= 8 - 0
= 8
[tex]SS_{xy}[/tex] = ∑xy - 1/n(∑x)(∑y)
= -8 - 1/3(0)(7)
= -8 - 1/3*0
= -8 - 0
= -8
slope m = [tex]SS_{xy} /SS_{xx}[/tex]
= -8/8
= -1
Therefore the slope of the best least squares line through the three points (-2, 4), (0, 3), (2, 0) is -1.
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Bill's bank charges $27.50 for overdraft fee and $3.50 for using an ATM out of network. Bill has $25 in his checking account at First Bank. Later that day he had a check clear his account for $50 and then added an ATM debit of $80. How much does Bill owe the bank. Explain your answer
Total sum that Bill owe the bank is $36
Given,
The overdraft fee charged by the bank = $27.50
The charge for using an ATM out of network = $3.50
The amount in the checking account = $25
The amount for check clearing = $50
ATM debit amount added = $80
We have to find the money Bill owe the bank;
Overdraft;-
A bank will grant a customer an overdraft when their account balance is 0 so they may pay their payments and other expenses.
Here,
Total sum in bank = 25 + 50 - 80
Total sum in bank = -5
Then,
Total Sum he owe = 5 + 27.5 + 3.5
Total sum he owe = $36
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Please solve 6-11, giving brainliest
Equation:
a) 4 + 3x = 3x- 7 has no solution.
b) 5.4x + 12 = 2(2.7x - 9 ) has no solution
c) 6 + 2.5x = 0.5x - 8 has one solution.
Define equation.A formula that expresses the connection between two expressions on each side of a sign is called equation. Typically, it has a single variable and an equal sign. Like this: 2x - 4 = 2.
Given,
Equations:
a) 4 + 3x = 3x- 7
3x - 3x = -7 -4
0
4 + 3x = 3x- 7 has no solution.
b) 5.4x + 12 = 2(2.7x - 9 )
5.4x + 12 = 5.4x - 18
0
b) 5.4x + 12 = 2(2.7x - 9 ) has no solution
c) 6 + 2.5x = 0.5x - 8
2.5x - 0.5x = -8 -6
2x = -14
x = -7
c) 6 + 2.5x = 0.5x - 8 has one solution.
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Find the value of x (and y) if you know L||m
Answer:
x=50 y=140
Step-by-step explanation:
Since l and m are parallel, all you have to do is add 40 and y.
Because a straight line has a 180-degree angle, you can subtract 40 from 180 you can find y.
180-40=140
Now we know that 3x-10=140 so we just have to solve.
First, add 10 to each side
3x=150
Then divide by 3
x=50
