0.416666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
Can you please help me with this urgently need help?
It is grade 12 advance function question
Answer: The spin of the wheel by the contestant is an illustration of a sine function whose equation is y = -1.25sin(0.8x + 0.25)
The equation that represents the function will be; y = -1.25sin(0.8x) + 0.25
How does sine function works?Suppose that we've got
[tex]f(x) = a\sin(bx + c) + d[/tex]
Amplitude or maximum height from average motion horizontal axis
= a + d
Thus, the minimum low from horizontal axis is –a + d (sin ranges from -1 to 1, and multiplying a to it make it range from -a to a).
A sine function is represented as:
y = Asin(B(x+C)) + D
Now, Substitute the calculated values,
y = -1.25sin(0.8(x+C)) + 0.25
The horizontal shift (C) is 0.
So, the function will be;
y = -1.25sin(0.8x) + 0.25
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Interior and exterior triangle angles
Answer:
Step-by-step explanation:
If you apply the changes below to the exponential parent function f(x)=2^x, what is the equation of the new function? Shifts five units to the right, Shifts seven units down
the equation of the new function is:
[tex]g(x) = 2^{x - 5} - 7[/tex]
What is the equation of the new function?We have a function:
[tex]f(x) = 2^x[/tex]
And we want to shift it five units to the right, and seven units down, then the new function will be:
[tex]g(x) = f(x - 5) - 7[/tex]
If we now replace f(x), we get:
[tex]g(x) = 2^{x - 5} - 7[/tex]
That is the equation of the new function.
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find the unknown side of the right triangle using the information given leg=12m, leg=6 m
Answer:
Step-by-step explanation:
Given
Leg = 10
Leg = 6
hypotenuse = ?
equation
c^2 = a^2 + b^2
a = 10
b = 6
Solution
c^2 = 10^2 + 6^2 Expand
c^2 = 100 + 36 Combine
c^2 = 136 Take the square root of both sides
√c^2 = √136
c = 11.66
answer
hypotenuse = 11.66
Construct a right angled traiangle ,choosing whole numbers of centimeters for the lengths of the two shorter sides, such that the hypotenuse will be √65 long.Check the accuracy of your drawing by measuring the hypotrnuse and by calculating √65.
Please give me a correct answer.
Answer:
1. Shorter Side: 4
2. Longer Side: 7
3. Hypotenuse: [tex]\sqrt{65}[/tex]
Step-by-step explanation:
[tex]4^{2} +7^{2} =65[/tex]
A client is instructed to drink 20 ounces of water with 1 hour. The client has only been able to drink 12 ounces. What portion of water remains? (express your answer as a fraction reduced to lowest terms)
Answer:
2/5
Step-by-step explanation:
20 ounces in all - 12 ounces drank = 8 ounces left
8 ounces left/20 ounces in all = 4/10 = 2/5 = 0.4
The portion of water remaining is 2/5 if the client is instructed to drink 20 ounces of water for 1 hour.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
A client is instructed to drink 20 ounces of water for 1 hour. The client has only been able to drink 12 ounces.
The remaining portion = 20 ounces - 12 ounces drank
The remaining portion = 8 ounces left
As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
The fraction:
= 8 ounces left/20 ounces in all = 4/10 = 2/5 = 0.4
= 8/20
= 2/5
Thus, the portion of water remaining is 2/5 if the client is instructed to drink 20 ounces of water for 1 hour.
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The perimeter of a right angled triangle, with hypotenuse c=101cm and one side b=20cm, is:
Answer:
220
Step-by-step explanation:
We need to find the 3rd side length
We already know the hypotenuse and one side, so we can use the Pythagorean formula.
101^2 = a^2 + 20^2. A is the third side, and solving for it, we find that it equals 99.
Side 1 = 101
Side 2 = 99
Side 3 = 20
101 + 99 + 20 = 220
For each of the following equivalence relations, describe the corre-
sponding partition. Your description of each partition should have no redundancy,
and should not refer to the name of the relation.
The description of the corresponding partition is given as follows:
The infinite classes can be defined as:
At equal distance of x from point [1,2]
Where x can vary from o to infinity.
What is a corresponding partition?The analogous partition, commonly known as "the set of equivalence classes," is the set A/R, the elements of which are the subsets of A satisfying the following:
For every a∈A there is some B∈A/R such that a∈B.
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Number graph ranging from negative one to seven on the x axis and negative four to four on the y axis. Two lines that are perpendicular to each other intersect at (two, one). The line with a positive slope is labeled a and the line with a negative slope is labeled b. Use the graph to state the solution for the system. x + 2y = 4 (line a) 3x – 2y = 4 (line b) (2, –1) (2, –1) (2, 1) (2, 1) (–2, 1)
The solution for the system of lines is defined as follows,
x-Intercept for line a: (4,0)
y-Intercept for line a: (0,2)
x-Intercept for line b: (1.5, -0)
y-Intercept for line b: (0,-2)
Line a and b intersect at (2,1)
Solving the System of Lines:
Line a: x + 2y = 4
Line b: 3x – 2y = 4
From the graph,
Line a intersect x-axis at (4,0) and y-axis at (0,2)
Line b intersect x-axis at (-1.5,0) and y-axis at (0,-2)
x + 2y = 4
x = 4-2y
Since point P lies on bot the lines A and B, it will satisfy the equations of both a and b.
Thus, substituting x = 4-2y in the equation of line b, we get,
3(4-2y) - 2y = 4
12 - 6y - 2y = 4
8y = 8
y = 1
Putting y=1 in the equation of line a, x = 4-2y, we get,
x = 4-2(1)
x = 4-2
x = 2
Hence, point P≡(2,1).
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A sports store sells 70 pairs of running shoes per
day for $40.00 each. The owner estimates that
for each $3.00 increase in price, 3 fewer sales
are made each day. What price should be charged
to maximize profit?
Answer:
$55
Step-by-step explanation:
so, we know that each day the store will currently sell $2800 worth of shoes.
we want to know the maximum of the expression (40+3x)(70-3x), expanding we get 2800 - 9x^2 + 90x,
the maximum of this would be x = 5, so the price they should charge is 55
Write an interval using interval notation to describe the set of values shown above.
Answer:
(-4,3）
Step-by-step explanation:
The intervals are denoted as:
Closed intervals = [a, b]
This interval includes a and b.
Open intervals = (a, b)
This interval does not include a and b.
The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].
What are intervals?The intervals are numbers or values between two given point
The intervals are denoted as:
Closed intervals = [a, b]
This interval includes a and b.
Open intervals = (a, b)
This interval does not include a and b.
We have,
A number line.
The set of values that is in the blue line is from -4 to 3.
This means that the blue line includes values from -4 to 3.
There are infinite numbers between -4 to 3.
The blue line denoted that the values -4 and 3 are also included.
The interval that denotes the values between -4 and 3 is:
= [-4, 3]
Thus,
The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].
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Follow the steps to find the
area of the shaded region.
Now use the formula below
to find the area of the
triangle.
Triangle Area = bh
h = 6.2172 cm
Triangle Area = [?] cm²
Round to four decimal places.
129
8 cm
The area of the triangle will be 14.9835cm².
How fo you find the area of a triangle?Your information is incomplete and the complete question wasn't found. An overview will be given.
The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle.
Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h. Hence, to find the area of a tri-sided polygon, we have to know the base (b) and height (h) of it.
In this case, let the assumed base be 4.82cm and the height is given as 6.2172cm.
The area will be:
= 1/2 × 4.82 × 6.2172
= 14.9835cm²
In conclusion, the area is 14.9835cm².
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this table shows values that represent an exponential function.
x y
1 7
2 9
3 13
4 21
5 37
what is the average rate of change for this function for the interval from x = 1 to x = 3?
a. 4 b. 2 c. 3 d. 8
The average rate of change for this function for the interval from x = 1 to x = 3 is 3
How to determine the average rate of change?The average rate of change is calculated as:
m = (f(b)- f(a))/(b - a)
The interval is given as:
x = 1 to x = 3
From the table of values, we have:
f(1) = 7
f(3) = 13
So, we have:
m = (13-7)/(3-1)
Evaluate
m = 3
Hence, the average rate of change for this function for the interval from x = 1 to x = 3 is 3
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Based on the figure below, what is the value of x?
(5x + 15)
01
09
0 11
15
20°
Answer:
undefined
Step-by-step explanation:
because
the figure does not appear
2) Put the following numbers in order from
greatest to least.
6.05, 6.007, 6.5, 6.25
Answer: 6.5, 6.25, 6.05, 6.007
Step-by-step explanation:
We need to look at each place value to see which one is the biggest. Since the units place is the same for all the numbers, let's look at the tenths place.
6.5, 6.25, 6.05, 6.007
Since 5 is the biggest number out of all that are underlined, 6.5 is the biggest one, and goes first.
2 is the second biggest number out of all that are underlined, so 6.25 goes second.
However, there are 2 numbers that have 0 in their tenths place, so we need to go one place value further: the hundredths place.
6.05, 6.007
Since 5 is bigger than 0, 6.05 goes third. 6.007 is the only number left, so it goes last.
Hence, the order is 6.5, 6.25, 6.05, 6.007
“The length of a rectangle is two feet greater than twice it’s width. If the perimeter is 25 feet, find the width.” Which of the following translations is correct
The width of the rectangle is 3.5 feet
Solving for the missing sides of a rectangle
The width of the rectangle = w
The length of the rectangle = l
The perimeter = p
Length of the rectangle is two feet greater than twice it’s width
l = 2w + 2
p = 2(l + w)
p = 2(2w + 2 + w)
p = 2(3w + 2)
p = 6w + 4
The perimeter of the rectangle is 25 ft
25 = 6w + 4
This can be rewritten as:
6w + 4 = 25
6w = 25 - 4
6w = 21
w = 21/6
w = 3.5
Therefore, the width of the rectangle is 3.5 feet
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What is most likely the line of best fit for this scatter plot?
2234H205642
18
16
14
12
10
0123456789 10 12 14
O Line A
Line B
O Line C
O Line D
The most likely the line of best fit for this scatter plot is line C.
What is scatterplot?It should be noted that a scatterplot simply means a graph that shows the relationship between the variables in the data set.
In this case, the most likely the line of best fit for this scatter plot is line C. The dependent variable is illustrated in the x axis and the dependent variable is illustrated on the y axis.
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Which phrase best describes the translation from the graph y = 6x² to the graph of y = 6(x + 1)²?
O6 unit left
O6 unit right
O 1 unit left
O 1 unit right
Answer:
1 UNIT LEFT best describes the translation from the graph y = 6x² to the graph of y = 6(x + 1)².
Write an equation in standard form of the line passing through the points (3, 5) and (8, 15)
hi,
a point is given ( x; y)
standar line equation is : y = ax+b
So with (3;5) and (8;15) we have :
3a+b = 5
8a+b = 15
so :
8a+b - ( 3a +b) = 15 -5
8a +b -3a -b = 10
8a-3a = 10
5a = 10
a = 10/5
a = 2
if a = 2 so 3*2 +b = 5
6+b = 5
b = 5-6
b = -1
so let check :
8*2 + (-1) = 16 -1 = 15
and 3*2 -1 = 6-1 = 5
coordonnate works for both point, so line is y = 2x -1
Match each number on the left with the correct description of the number on the right.
Answer:
im not sure the answer tho- just trying
Cheese fries or Home fries
it gotta be cheese fries fa sho
Given IQ scores are approximately normally distributed with a mean of 100 and a standard deviation of 15, the proportion of people with IQs above 130 is
The proportion of people with IQs above 130 is 2.3%.
How to calculate the value?Normal distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
Here the mean is 100 and a standard deviation of 15.
µ = 100, σ = 15
P(X > 130) =
= P( (X-µ)/σ > (130-100)/15)
= P(z > 2)
= 1 - P(z < 2)
Using excel function:
= 1 - NORM.S.DIST(2, 1)
= 0.023 = 2.3%
The value is 2.3%.
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At an Ice cream parlor, ice cream cones cost x dollars each and sundaes cost y dollars each. The total cost of 4 cones and 3 sundaes is more than $20. The total cost of 5 cones and 1 sundae is less than $16. Which system of inequalities models this situation?
Find the interquartile of the data set that consists of 8,18,4,2,3,7,11,13,5,1 answers 11,8,6,3
Answer:
I.Q.R = 11 - 3
I.Q.R = 9
the interquartile range = 9
solve for unknown in 2x^3+6x^2-20x=0
The solution of x is x = 0, x =2 and x = -5
How to solve for the unknown?The equation is given as:
2x^3+6x^2-20x=0
Factor out x
x(2x^2+6x-20)=0
Split the equation
x = 0 or 2x^2+6x - 20=0
Solve for x in 2x^2+6x - 20=0
Expand the equation
2x^2 + 10x - 4x - 20 = 0
Factorize the equation
(2x - 4)(x +5) = 0
Split the equation
2x - 4 = 0 and x + 5 = 0
Solve for x
x =2 and x = -5
Hence, the solution of x is x = 0, x =2 and x = -5
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What are the coefficients of the expression -sup(x,2)+9x?
The coefficients in the expression are -1 and 9
How to determine the coefficients?The expression is given as:
-x^2 + 9x
In an expression ax, the coefficient is a.
Using the above as a guide, we have:
-x^2 + 9x
The coefficients in the above expression are -1 and 9
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a shopkeeper buys chewing gum from a wholesale dealer $1 for five pieces. Then he sells it to the customer at $1 for four pieces. what is his profit percentage?
Answer:
9
Step-by-step explanation:
it should be that should be the answer it should be 9 bcuz he bout gum for 1 he got 5 peaces so dets 5$ then someone else got sumthing for 1$ and they got 4 peicea so thats 4$ 5+4 is 9
What is the solution to the inequality -6+l2p+3l>7?
Answer: A
Step-by-step explanation: add 6 on each side you get 2p+3>13 then subtract 3 you get
2p> 10 divide by 2 you get p>5
Hey can someone tell me the steps to solving a system of equations with graphing
Answer:
Let's go through the following example to show how to solve a system of equations by graphing. I won't solve this system, I will just show how to.
[tex]8x-3y = 17\\4x+y=21[/tex]
If you can use an online graphing calculator...
If you have an online grapher (like Desmos) at your disposal, then you can put each equation in it as it is.
Lines intersect -> Put your cursor over the point of intersection to get the solution.Lines never intersect -> The lines are parallel and there is no solutionLines perfectly fall on each other -> The lines are the same and have infinite solutionsIf you have a physical graphing calculator (like TI-84)
1. Get both equations in the form [tex]y=mx+b[/tex] by solving for y.
[tex]8x-3y=17\\-3y=-8x+17\\y=\frac{8}{3}x-\frac{17}{3}[/tex] [tex]4x+y=21\\y=-4x+21[/tex]
2. Put both equations in the graphing calculator
Lines intersect -> Find the intersection point using your graphing calculator's mechanics (each one is a little different)Lines never intersect -> The lines are parallel and there is no solutionLines perfectly fall on each other -> The lines have the same equation and have infinite solutionsIf you just have graphing paper...
1. Get both equations into the form [tex]y=mx+b[/tex] by solving for y.
[tex]8x-3y=17\\-3y=-8x+17\\y=\frac{8}{3}x-\frac{17}{3}[/tex] [tex]4x+y=21\\y=-4x+21[/tex]
2. Plug in a few different points for x and calculate their y-values.
3. Plot those points on the graph paper
Lines intersect -> Find the intersection point's coordinates to get the solution for x and y.Lines never intersect -> The lines are parallel and there is no solutionLines perfectly fall on each other -> The lines have the same equation and have infinite solutions.Fill in the blank
Which form of compensation is generally paid on a weekly or biweekly basis?
______ are paid weekly or biweekly, while salaries are paid bimonthly or biweekly.
The blank space in the task content should be filled with; Wages.
What type of employee compensation is Wage?A wage by it's primitive definition is a fixed regular payment usually paid on a daily or weekly basis by the employer to an employee which could be skilled or unskilled.
Commission, and salary which is a monthly analogue of wages is another form of employee compensation.
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