Answer:A
Step-by-step explanation:
a sinusoidal graph has a maximum at the point (4,12) and a minimum at the point (11,5). determine the midline of the graph.
The midline of the graph is a horizontal line with y = 8.5.
The midline of a sinusoidal graph is the average of its maximum and minimum values, which represents the average height of the graph over one period. To find the midline, we need to find the average of the y-values of the maximum and minimum points.
The maximum point is (4,12) and the minimum point is (11,5), so the average of the y-values is (12+5)/2 = 8.5. This represents the y-intercept of the midline, which is a horizontal line. Therefore, the midline of the graph is a horizontal line with y = 8.5.
The midline of a sinusoidal graph separates the graph into two parts: the portion above the midline, where the graph is increasing, and the portion below the midline, where the graph is decreasing. The midline also provides important information about the amplitude and frequency of the graph.
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A triangle ha ide length of 200 unit and 300 unit what i the inequality for the range of the poibly length for the 3rd ide
The inequality for the range of the possible length for the third side is 100<x<500.
Inequalities can be defined as expressions that involve the use of symbols such as >, <, ≥, and ≤. In order to solve an inequality, we need to find what is called its range, or ranges, which are values that can satisfy the given inequality.
We already know that no side of a triangle can exceed the sum of the other two sides. The third side needs to be less than 500 (300 + 200) and greater than 100 ( 300 - 200)
So, our inequality is ⇒ 100<x<500.
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There are 47 page in walter book. He read 29 page how many more page are left to read ?
Answer:
18 pages
Step-by-step explanation:
47 pages in total - 29 pages read = 18 pages left
This table shows values that represent an exponential function. What is the average rate of change for this function for the interval from x = 2 to x = 4?
The average rate of change for this function for the interval from x = 2 to x = 4 is 6.
What is function?A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. A function is a relationship between a set of inputs and a set of allowable outputs that has the condition that each input is associated to precisely one output. Let A and B be any two non-empty sets; mapping from A to B is only a function if every element in set A has one end and only one image in set B.
Here,
The average rate of change for this function between x = 2 and x = 4 is 6.
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(b) Jodie has a body mass index of 19 and weighs 55 kilograms. Work out how tall she is. Give your answer correct to 2 decimal places.
Answer:
1.71 meters.
Step-by-step explanation:
To work out Jodie's height, we can use the formula for body mass index (BMI):
BMI = weight (kg) / height (m)^2
We know that Jodie's BMI is 19 and her weight is 55 kilograms. We can use this information to solve for her height.
Rearranging the formula to solve for height:
height = √(weight / BMI)
Substituting in Jodie's weight and BMI:
height = √(55 / 19)
height = √(2.89)
height = 1.71 meters
To 2 decimal places, Jodie's height is 1.71 meters.
With a Body Mass Index (BMI) of 19 and a weight of 55 kilograms, the height of Jodie is 1.70 meters.
We know,
BMI = Weight of a person in kilograms (w) .........(i)
Square value of height in meters (h^2)
(w) = 55 Kg
BMI = 19.
Substituting the values in equation (i),
h^2 = 55/19,
or, h^2 = 2.89 meters,
or, h = √2.89 meters,
or, h = 1.70 meters.
Therefore, at a BMI of 19 and a weight of 55 Kilograms, Jodie has a height of 1.70 meters.
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Sum of today's ages of Pradnya and her son is 54 years. Pradnya was 30 years old at the time of birth of her son. Find today's ages of both.
Answer:
54 is the answer of pradnya age
How do u draw the graph n wats the answer
y=2x-2 is the equation of the graph.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
From the given figure the points are (2, 2)(3,4)(4, 6)
m=6-4/4-3
m=2/1
slope =2
Now let us find the y intercept
4=2(3)+b
4=6+b
b=-2
y=2x-2
Hence, y=2x-2 is the equation of the graph.
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PLEASE HELP NOW PLEASE
Use the order of operations to simplify the statement: 38÷[(−2)4+|−27÷9|]−(−18). Start with the innermost set of grouping symbols. Show all your work.
The value of the expression is 10.4
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
38÷[(−2)4+|−27÷9|]−(−18).
From the innermost grouping, we have
38÷[(−2)4+3]−(−18).
Remove the inner bracket
38÷[-8+3]−(−18).
So, we have
38 ÷ [-5] + 18
Evaluate
10.4
Hence, the solution is 10.4
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if a pair of distinct dice are rolled one time, ( one die is red and one die is blue ) how many ways can the sume of the dice equal 6?
There are 5 ways that the sum of the dice be equal to 6 if a pair of distinct dice are rolled one time
What is permutation?It is the ordered arrangement of members belonging to a set with no repeats.
Analyzing the possibilities for the sum of the dice be equal to 6, assuming that each die has six sides:
Red die = 6 sides
Blue die = 6 sides
The possibilists are:
(Bleu, red)
(1,5)
(2,4)
(3,3)
(4,2)
(5,1)
There are 5 ways to get at sum of 6 if a pair of distinct dice are rolled one time
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due today please hurry + brainliest
This graph shows a proportional relationship.
What is the Constant of Proportionality?
Why is the graph proportional? How do you know? What do you see? Explain.
The constant of proportionality is 6.
How to find the Constant of Proportionality?
The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship. It is also known as unit rate and it is usually expressed by k.
Mathematically, k = y/x.
To find the Constant of Proportionality, pick any point from the graph. That is:
Point (20, 120). Thus, x = 20, y = 120
Constant of Proportionality (k) = y/x
k = 120/20 = 6
The graph is proportional because the Constant of Proportionality of nay point on the graph is the same.
What I see is that the graph starts from the origin. That is the initial value of x and y are zero.
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question 1what is the number of 6-card hands with three hearts and three spades?
The probability of a 6-card hand with three hearts and three spades is 0.001862, or 1/535
Probability is the mathematics of chance; it is the study of calculating the likelihood of certain outcomes in any given situation.
Here we have to find the probability of a particular 6-card hand consisting of three hearts and three spades is determined first by the fact that there are 13 hearts and 13 spades in a standard deck of 52 cards.
To calculate the probability of a 6-card hand consisting of three hearts and three spades, one must first consider that the order of the cards in a hand does not matter.
The total number of combinations of three hearts and three spades that can be drawn from a standard deck of cards is
=> 4,824.
This number can be calculated by an equation that uses the number of hearts, spades, and cards in a standard deck
=> (13 x 13 x 52).
Then the probability of a 6-card hand consisting of three hearts and three spades is calculated by dividing the number of combinations of three hearts and three spades
=> (4,824) / (2,598,960).
This equation yields a probability of 0.001862, or a 1 in 535 chance of getting a 6-card hand with three hearts and three spades.
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4x+8y is less than or equal to 8, 5x+y is less than or equal to 10. Graph the solution set of the following inequalities (and fill in)
The graph of the set of inequalities is given in attachment.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
4x+8y is less than or equal to 8 and 5x+y is less than or equal to 10
4x+8y≤8
5x+y≤10
40x+8y≤80
40x+8y-4x-8y≤80-8
36x≤72
x≤72/36
x≤2
and now plug in x value
4(2)+8y≤8
8y≤0
y≤0
Hence, the graph of the set of inequalities is given in attachment.
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There are approximately 1.33 cubic yards in 1 cubic meter. how many cubic meters are in 150 cubic yards
Answer:
Step-by-step explanation:
we have 1.33 cubic yards in 1 cubic meter,
we should find how many cubic meters equals 150 cubic yards.
so for 1.33 =1
150=x
now , we cross multiply
x=150/1.33
x=112.78 that is the answer
Pls help- Using linear combination method find the solution to this system of equations.
−4x+9y=9
x−3y=−6
Question 2- Using the substitution method, find the solution to this system of equations.
−3x+3y=4
−x+y=3
The solution to this system of equations −4x+9y = 9 and x−3y = − 6 is,
(10, 5)
By using the substitution method, the solution to this system of equations −3x + 3y = 4 and −x + y = 3 is, No solution
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.
Given that,
System of equation,
−4x + 9y = 9
4x − 4×3y = − 4×6 (multiplying equation by 4)
0 - 3y = -15
y = 5
−4x + 9×5 = 5
-4x = -40
x = 10
Second, system of equations
By substitution method,
−3x + 3y = 4
−x + y = 3
Both the lines are parallel ,
so they will never intersect each other
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the x coordinate of the midpoint is the ____ the x coordinate of the end points
1) same as
2) difference between
3) average of
Literally someone who knows this answer this please:
Answer:36
Step-by-step explanation:
Answer:
Step-by-step explanation:
A proportional relationship between two variables, x and y, is such that there is a constant of proportionality, k, that exists between the two variable, such that, y = kx.
Constant of proportionality (k) = y/x.
9) The relationship is proportional because 18% of dinner bill is being donated to local schools
So 18% of 50 is 9
So out of $50 of dinner bill, $9 will go towards donation.
10) No, the relationship is not proportional.
The cost of mailing6-ounce letter cannot be determined
What is the value of 14 – ( 2) + 3 – 8 + 4?
Answer:
11
Step-by-step explanation:
12-5+4=12-1=11
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the circle graph shown below to answer the question.
If 30 sixth graders own birds, how many sixth graders were surveyed?
For given pie chart, 600 sixth graders were surveyed.
What is a pie chart?
The “pie chart” is also known as a “circle chart”, dividing the circular statistical graphic into sectors or sections to illustrate the numerical problems. Each sector denotes a proportionate part of the whole. A pie chart requires a list of categorical variables and numerical variables. To find out the composition of something, Pie-chart works the best at that time. In most cases, pie charts replace other graphs like the bar graph, line plots, histograms, etc.
The total value of the pie is always 100%.
Now,
Given percentage of 6th graders that own birds=5%
and no. of birds they own=30
that means 1% birds are owned by 6 students.
Therefore for 100% students= 6*100=600 6th graders.
Hence,
For given pie chart, 600 sixth graders were surveyed
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PLSSS HELP IF YOU TURLY KNOW THISS
The guests at a party eat 3/4 of the fruits. Roberts eats 1/4 of what is left.
What fraction of the fruits does Yasmina eat?
Answer: To determine what fraction of the cake is left convert the cake to 8ths which is 8/8. Subtract;. 8/8–7/8=1/8. The fraction left is 1/8.
7 answers
·
4 votes:
Let’s identify all the quantities here. [math]\frac{5}{8}[/math] is what all the g
Step-by-step explanation:
at the city museum, child admission is $5.80 and adult admission is $9.70. on wednesday, 156 tickets were sold for a total sales of $1290.90. how many child tickets were sold that day?
Let x be the number of child tickets sold on Wednesday. Then, the number of adult tickets sold can be represented as 156 - x.
The total amount of money generated from the sale of child tickets is 5.80x, and the total amount of money generated from the sale of adult tickets is 9.70(156 - x). The total sales for the day were $1290.90, so we can set up the following equation:
5.80x + 9.70(156 - x) = 1290.90
Expanding the right-hand side and solving for x, we can isolate x:
5.80x + 1481.20 - 9.70x = 1290.90
-4.90x + 1481.20 = 1290.90
-4.90x = -190.30
x = 39
So, 39 child tickets were sold on Wednesday. This is because the total number of tickets sold is 156, and since we know the number of child tickets sold, we can calculate the number of adult tickets sold by subtracting the number of child tickets from the total.
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WHAT INQUANLITY DESCRIBES THE SOLUTION OF 2Y< 8
Reason: Divide both sides by 2. The inequality sign stays the same. The only time it flips if you divided both sides by a negative value.
The graph involves an open hole at 4 with shading to the left. The open hole means "exclude this value from the shaded solution set".
Using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someon with an annual salary of $56,750?
The maximum mortgage payment allowed for someone with an annual salary of $56,750 is $1891666.
What is the mortgage payment?A mortgage payment usually consists of four parts: principal, interest, taxes, and insurance. The Principal portion is the amount that is deducted from your outstanding loan balance. The cost of borrowing money is expressed as interest. Your interest rate and loan balance determine the amount of interest you pay.According to the 28/36 guidelines, 28% of your gross monthly income should be spent on housing finances, and 36% of your total monthly income can be considered debt-free income.
Allow Total gross monthly income to equal $ x
The debt amount is $ 56,750.
So, 36% of x = $ 56,750
36x/100 = 56,750
x = 56,750 x 100 / 36
x = 157638.8
Annual income = 12 x 157638.8
= 1891665.6
= $1891666
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given a certain population, assume the probability that a person is taller than x inches is 1/2. suppose two persons are chosen at random, one after another, without replacement. however, you can assume the population is large enough (say, infinite), so that the probability of being taller than x inches for a randomly chosen person remains 1/2, even when we are drawing from a population reduced in size by one. (a) (10 points) suppose we know that at least one person is taller than x. what is the probability that the other person is shorter than x? (b) (10 points) suppose we know that the person chosen second is taller than x. what is the probability that the first person chosen is shorter than x?
(a) The probability that the other person is shorter than x is = 1/2
(b) The probability that the first person chosen is shorter than x is 1/2.
(a) If we know that at least one person is taller than x, then there are two cases to consider:
The first person chosen is taller than x:
In this case, the probability of the second person being shorter than x is 1/2.
The second person chosen is taller than x:
In this case, the probability of the first person being taller than x is 1/2.
The total probability that at least one person is taller than x and the other person is shorter than x is the sum of these two cases:
P = (1/2) * (1/2) + (1/2) * (1/2)
= 1/2
(b) If we know that the person chosen second is taller than x, then the only possibility is that the first person chosen is shorter than x.
The probability of this happening is 1/2.
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by using taylor seriwsone can be sure that for all values of x that satisfy |x|<1/2, |cosx-(1-x^2/2)| is less than or equal to what numerical value
For all values of x that satisfy |x| < 1/2, |cos(x) - (1 - x^2/2)| is less than or equal to a very small positive number.
The Taylor series for cos(x) is:
cos(x) = 1 - x²/2 + x⁴/4! - x^6/6! + ...
So, if |x| < 1/2, then:
|cos(x) - (1 - x²/2)| = |x²/2 - x⁴/4! + x⁶/6! + ...|
This expression on the right-hand side is a sum of absolute values of the terms in the Taylor series expansion of cos(x), which are all positive for |x| < 1/2. Therefore, the absolute value of the expression on the right-hand side is less than or equal to the sum of all of these positive terms, which approaches 0 as x approaches 0.
Therefore, for all values of x that satisfy |x| < 1/2, |cos(x) - (1 - x²/2)| is less than or equal to a very small positive number.
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Find the missing value
The missing value is -3 = 7- 10.
What are Integers?Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)Given:
We have -3 = 7 - x
As, we know from the integers when we perform addition and subtraction in integers the answer will get the sign of larger number.
Here -3 shows the larger number is negative number.
But here we have 7 as positive integer which shows x > 7.
So, -3 = 7- x
-3-7 = -x
-10 = -x
x= 10
thus, we can write -3 = 7-10
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Let P(x) = 17x12 + 8x5 – 25. Since P(1) = 0, then x – 1 is a factor of P(x).
True or False
True, x-1 is a factor of P(x) = 17x¹² + 8x⁵ – 25.
What is polynomial?A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number.
Given function
P(x) = 17x¹² + 8x⁵ – 25
P(1) = 0
By the Remainder Theorem,
Dividend = Divisor * Quotient + Remainder
P(x) = (x – 1). Q(x) + P(1)
P(1) = 0
P(x) = (x – 1). Q(x)
Hence, x-1 is a factor of P(x).
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Help me and will give brainliest! no absurd answers will me taken. Thanks.
what went wrong
the student did not cross multiply, and instead multiplied within each fraction.
rework the problem
mx24=8x15
m=120/24
m= 5
helpful strategy
draw a line from each value to the one you're multiplying it by
practice problems
12/z = 15/20
Write an equation of the line with a slope of 0
and y
-intercept of 5
.
Answer:
y = 5
Step-by-step explanation:
The equation is y = mx + b
m = the slope
b = y-intercept
Because the slope is 0 and the y-intercept is 5, our equation will be
y = 5
PLEASE HELP I will Mark Brainlist its A Math Question thank you
Answer:
The correct answer is the second alternative!