Answer:
\( \boxed{ \text{Option \: D}}\)
Step-by-step explanation:
All the relations are not functions. We can determine ( identify ) whether a relation is function or not by drawing a vertical line intersecting the graph of the relation. This is called vertical line test.
If the vertical line intersects the graph of a relation at one point , the relation is a function .If it cuts at more than one point , it is not a function. It means that if there are more points of the graph of a relation of a vertical line , same first component ( pre - image ) has more images ( second component ) which is not the function by definition.--------------------------------------------------
Let's check all of the options :
☐ Option A :
The vertical line cuts the graph at two points. So , the graph does not represent a function.☐ Option B
No! This is also not a function as the vertical line cuts the graph at two points.☐ Option C
Nah! This too can't be called a function as the vertical line cuts the graph at two points.☑ Option D
Yep! The vertical line cuts the graph at one point. Thus , the graph represents a function.Yayy!! We found our answer. It's ' Option D '.
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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there are 960 pages in a book. each page contains 25lines. how many lines are there in the book
Answer:
24000 Lines.
Step-by-step explanation:
960x25=24000
Answer:
24,000
Step-by-step explanation:
just multiply 960 x 25
The difference of four times n and eleven is equal to fifteen less than two times n.
.
.
.
Question content area right
Part 1
Choose the correct equation below.
Answer:
4n - 11 = (15 - 2)n
Step-by-step explanation:
Using the keywords;
'Difference of'
'Equal to'
'Less than'
'Times', we can find the equation.
Let's piece it together:
Difference of; 4n(four times n) and 11
Equal to( = )
(15 - 2)n, which is 15 less than 2, multiplied by n
The dispersion among sample means is less than the dispersion among the sampled items themselves becausea:______
a. Each sample is smaller than population
b. Very large value are averaged down
c. Sampled items are all drawn from the same population
d. None of thesee.
e. b and c
Answer:
The dispersion among sample means is less than the dispersion among the sampled items themselves because:______
b. Very large values are averaged down
Step-by-step explanation:
The sample means represent average values obtained from both large and moderate values. Through the process of averaging, the data values obtained as the sample means are much closer to the true values. This is why the dispersions among the sampled items will be larger than the dispersions among the sample means. Sample dispersions describe how spread out the data values are on the number line.
Find the domain of the rational expression: 6-x/4x+20
The domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.
To find the domain of a rational expression, we need to identify any values of x that would result in division by zero. Division by zero is undefined in mathematics
In this case, we need to set the denominator, 4x+20, equal to zero and solve for x:
4x + 20 = 0
Subtract 20 from both sides:
4x = -20
Divide both sides by 4:
x = -5
Therefore, the value x = -5 makes the denominator zero.
Now, we need to consider the values of x for which the denominator is not zero. Since the denominator is a linear expression (a polynomial of degree 1), it is defined for all real numbers except x = -5.
So, the domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.
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Which graph represents the function f(x) = 4[x]?
y
y
16
16
y
16
16
12
12
12
121
8
8
81
8
40
ای
09
4
2
123
OD
8
o
0
Answer:
b
Step-by-step explanation:
The graph which represent the function f ( x ) = 4 [ x ] is graph B
What is Equation of Graph of Polynomials?Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.
Identify the even and odd multiplicities of the polynomial functions' zeros.
Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.
The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 4 [ x ]
And , function f(x) = 4[x] represents the greatest integer function, which returns the largest integer less than or equal to x
The graph of the greatest integer function consists of horizontal segments, with jumps at the integers. Since the function is multiplied by 4 in this case, the distance between the jumps will be 1/4 of the original distance.
Hence , the graph is Option B
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Sage and Tom started the month with the same number of talk minutes on their cell phones. Sage talked for 7 minutes with her dad. Tom talked for 4 minutes with a friend and 3 more minutes with his mom. Do Sage and Tom have the same number of talk minutes left on their cell phone plans?
Part A:
Complete the model to represent Sage’s minutes.
Enter the correct answers in the boxes.
Part B
Complete the model to represent Tom’s minutes.
Enter the correct answers in the boxes.
Part C
Write an algebraic expression to represent the number of minutes Sage has left.
Enter the correct answer in the box.
Part D
Write an algebraic expression to represent the number of minutes Tom has left.
Enter the correct answer in the box.
Part E
Do Sage and Tom have the same number of talk minutes left on their cell phone plans? Explain your reasoning.
Select answers from the drop-down lists to correctly complete the explanation.
Part A: We can complete the model representing Sage's minutes by putting n and 7 in the box.
Part B: We can complete the model representing Tom's minutes by putting n and 7 in the box
Part C: An algebraic expression to represent the number of minutes Sage has left is S = n - 7, where S equals the remaining talk minutes for Sage and n is the initial number of talk minutes.
Part D. An algebraic expression to represent the number of minutes Tom has left is T = n - 7, where T equals the remaining talk minutes for Tom and n is the initial number of talk minutes.
Part E: Sage and Tom have the same number of talk minutes left on their cell phone plans because they started with the same amount and consumed the same amount at the end of the month.
What is an algebraic expression?An algebraic expression is a mathematical expression that consists of variables and constants, along with algebraic operations and equality or inequality symbols.
The basic algebraic operations include addition, subtraction, division, and multiplication.
Thus, algebraic expressions can be used to mathematically model or represent the number of minutes that Sage and Tom have left.
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About how many millimeters long is the missing side of the right triangle, to the nearest tenth?
5 mm
7 mm
Using Pythagoras theorem, The missing side of the right triangle is 4,9 mm long.
The Pythagoras Theorem is what?Pythagoras' Theorem states that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides. The Perpendicular, Base, and Hypotenuse are the names of the three sides of this triangle. The hypotenuse in this example is the longest side because it is located across from the 90° angle. A right triangle's positive integer sides (let's say sides a, b, and c) are squared to produce a Pythagorean triple equation.
Right triangles are what the provided triangle is.
The Pythagorean Theorem is used:
\(a^{2} + b^{2} = c^{2}\)
\((5)^{2} + (7)^{2} = c^{2}\)
25 + 49 =\(c^{2}\)
c = 4.9
Hence, the missing side of the right triangle is 4,9 mm long.
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log(AsqrootB) + log(A^5
) =
Answer:
log(A^8)
Step-by-step explanation:
because i learned it a bit early as a teen
For triangle ABC use the Triangle Proportionality Theorem to solve for x. Show all of your work for full credit.
Answer:
x=17
Step-by-step explanation:
See attached.
Because of the Triangle Proportionality Theorem,
24: (2x-4)+6
20: 2x-4
Cross multiply these two ratios
48x-96 = 40x-80+120
Isolate variable: 8x = 96-80+120
Solve: 8x = 136
x=17
The area of a rectangle is 56 square inches the rectangle is 8 inches long how wide is the retangle
Answer:
7 inches
Step-by-step explanation:
56/8=7
Area/length=width
Maria finds a shirt on the clearance rack. It's original price was $75, but now it only costs $15. Find the percent of
change.
Answer:
80 percent off
Step-by-step explanation:
First find the difference in cost (75-15=60)
then divide the difference by the original price 60/75=.8
Please help me What is the domain of the function y=2 square root x- 6
Answer: Mark me brainliest..
Step-by-step explanation: and imma put the answer inside the comments if you do so. youve got nothing to lose! :D
Simplify 5x square root 3x- 2x square root 3x- x square root 3x
Here are the steps to simplify the expression \(\sf\:5x\sqrt{3x} - 2x\sqrt{3x} - x\sqrt{3x} \\\):
1. Combine like terms that have the same radical term \(\sf\:\sqrt{3x} \\\):
\(\sf\:(5x - 2x - x)\sqrt{3x} \\\)
2. Simplify the coefficients:
\(\sf\:2x\sqrt{3x} \\\)
Therefore, \(\sf\:5x\sqrt{3x} - 2x\sqrt{3x} - x\sqrt{3x}\) simplifies to \(\sf 2x\sqrt{3x} \\\).
what's the inequality describes all possible length of AB?
Answer:
We conclude that inequality describes all possible lengths of AB
13 < x < 35Option C is true.
Step-by-step explanation:
We know that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Now, checking the interval of the length of the side 'x', such as:
24 + 11 = 35
24 - 11 = 13
so the possible lengths of the side 'x' will be:
13 < x < 35
Therefore, we conclude that inequality describes all possible lengths of AB
13 < x < 35Hence, option C is true.
Write an equivalent expression for 10^6 divided by 10^4
_________
\( \: \)
Step by step :\( {10}^{6} \div {10}^{4} = x\)
\( {10}^{6 - 4} = x\)
\( {10}^{2} = x\)
\(100 = x\)
Soo, answer for question \(10^6 ÷ 10^4 = 10²\)
Answer:
0.01
Step-by-step explanation:
10^6: 10x10x10x10x10x10 = 1000000
10^4: 10x10x10x10 = 10000
1000000 divided by 10000 = 0.01
The opposite of -1 ? Please help fast
Answer:
Step-by-step explanation:
1
Dan buys candy that costs $5 per pound. He will buy at least 8 pounds of candy. What are the possible amounts he will spend on candy?
Use c for the amount (in dollars) Dan will spend on candy.
Write your answer as an inequality solved for c .
Dan will spend between $40 and $45 on candy. The inequality for c is:
$40 ≤ c ≤ $45.
Dan will spend a minimum of $40 on candy if he purchases at least 8 pounds of candy at a cost of $5 per pound. We need to determine the maximum amount he could spend because he might purchase more candy than 8 pounds.
Say Dan purchases x pounds of chocolates. Therefore his sweets expenditure will be c = 5x dollars. He'll purchase at least 8 pounds of sweets, so we can say:
x ≥ 8
We must take the possibility that Dan may purchase a decimal number of pounds of candy when determining the upper bound of x. Consider the case when he purchases y pounds of sweets, where y is a decimal number such that 0 y 1. then, his
c = $5y in money
He'll purchase at least 8 pounds of sweets, so we can say:
y + 8 ≥ x ≥ 8
We must determine the highest feasible value of y in order to determine the upper bound of c. The closest full number to 8 + 1 = 9 is when Dan purchases just under 9 pounds of sweets, which is the maximum value of y. Hence, we can write:
y = 9 - 8 = 1
The inequality for c is as follows:
c = 5y ≤ c ≤ 5x 40 ≤ c ≤ 5(9) = 45
Dan will therefore spend $40 to $45 on candy. For c, the inequality is:
$40 ≤ c ≤ $45.
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expand 2x(3x+2y) thank you
Answer:
6x^2+4xy
Step-by-step explanation:
You distribute the 2x by multiplying it with each term
2x(3x)+ 2x(2y)
6x^2+4xy
hopes this helps please mark brainliest
A manufacturer cuts a piece of metal for a microscope. The resulting piece of metal can be
represented in a coordinate plane by a triangle with vertices A (8,8), B(5, 3), and C(11,3)
. One unit in the coordinate plane represents one millimeter.
Prove that AABC is isosceles.
Find the exact length of each side.
AB =
BC =
AC =
We can actually see here that the triangle ABC is an isosceles triangle. This is because two sides of the triangle are equal.
What is an isosceles triangle?An isosceles triangle is actually a geometric shape having three sides, two of which are equal in length. Consequently, two of the angles that are across from those sides are also equal.
In order to prove that the triangle is an isosceles triangle, we will find the following:
Distance between vertices A and B:
AB = √((8-5)² + (8-3)²) = √(3² + 5²) = √34 = 5.83mm
Then, we also find the distance between vertices B and C:
BC = √((11-5)² + (3-3)²) = 6mm
Finally, we find the distance between vertices A and C:
AC = √((11-8)² + (3-8)²) = √(3² + 5²) = √34 = 5.83mm
Thus, we see here that AB and AC are actually equal which makes the triangle an isosceles.
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What is the slope of the line on the graph?
Answer:
2/4
Step-by-step explanation:
You would have to count the number of units (rise over run)
Answer:
the slope is 1/2 .
Step-by-step explanation:
The width of a rectangle measures (4.3q - 3.1) centimeters, and its length
measures (9.6q-3.6) centimeters. Which expression represents the perimeter, in
centimeters, of the rectangle?
The expression that represents the perimeter and the of the rectangle is: 14.6q - 13.4.
What is the Perimeter of a Rectangle?A rectangle's perimeter if the length of its surrounding borders. Thus, the perimeter of a rectangle is the sum of all the length of the sides of the rectangle which can be calculated using the formula below:
Perimeter of a rectangle = 2(length + width).
Given the following:
Width of the rectangle = (4.3q - 3.1) centimetersLength of the rectangle = (9.6q - 3.6) centimetersTherefore, substitute the expression for the width and length of the rectangle into the perimeter of the rectangle formula:
Perimeter of rectangle = 2(9.6q - 3.6 + 4.3q - 3.1)
Combine like terms
Perimeter of rectangle = 2(7.3q - 6.7)
Perimeter of rectangle = 14.6q - 13.4
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The graph of a sinusoidal function has a maximum point at (0, 5) and then has a minimum point at (2π, -5).
Write the formula of the function, where x is entered in radians.
Answer:
One possible function that meets the requirements is \(f(x) = 5\, \sin((1/2)\, x + (\pi / 2))\).
Step-by-step explanation:
In general, a sinusoidal function is of the form \(f(x) = A\, \sin(\omega\, x + \varphi) + D\), where \(A\), \(\omega\), \(\varphi\), and \(D\) are constants.
The constant \(A\) determines the amplitude of this sinusoidal function. The amplitude is \((1/2)\) the vertical distance between maxima and minima. In this question, the vertical distance between maxima and minima is \((5 - (-5)) = 10\), such that \(A = (1/2) \, (10) = 5\).
The constant \(D\) determines the midpoint between maxima and minima. In this question, the midpoint between minima (\(y = (-5)\)) and maxima (\(y = 5\)) is \((1 / 2)\, ((-5) + 5) = 0\). Hence, \(D = 0\).
The constant \(\omega\) determines the period of this sinusoidal function. The period of \(f(x) = A\, \sin(\omega\, x + \varphi) + D\) is \((2\, \pi / \omega)\), such that:
the distance between two neighboring maxima would be \((2\, \pi / \omega)\), andthe distance between a maximum and the next minima would be \((\pi / \omega)\).In this question, assume that there is no minima between \(x = 0\) and \(x = 2\,\pi\) (exclusive). Hence, \((\pi / \omega) = 2\,\pi\), and \(\omega = (1/2)\).
The constant \(\varphi\) shifts the sinusoidal function horizontally. After finding \(A\), \(D\), and \(\omega\), substitute in a point on the graph of this function to find the value of \(\varphi\!\). For example, since \((0,\, 5)\) is a point on the graph of \(f(x) = A\, \sin(\omega\, x + \varphi) + D = 5\, \sin((1/2)\, x + \varphi)\):
\(5\, \sin((1/2)\, (0) + \varphi) = 5\).
\(5\, \sin(\varphi) = 5\).
One possible value of \(\varphi\) would be \((\pi / 2)\).
Hence, one possible formula satisfying the requirements is \(f(x) = 5\, \sin((1/2)\, x + (\pi / 2))\).
What does the circled portion represent in the confidence interval formula?
p±z.
O Sample proportion
O Margin of error
p(1-p)
n
Confidence interval
O Sample Size
The circled portion in the confidence interval formula p ± z represents the Margin of Error, which plays a crucial role in interpreting the range of plausible values for the population parameter.
In the confidence interval formula p ± z, the circled portion represents the Margin of Error.
The Margin of Error is a critical component of a confidence interval and quantifies the level of uncertainty in the estimate.
It indicates the range within which the true population parameter is likely to fall based on the sample data.
The Margin of Error is calculated by multiplying the critical value (z) by the standard deviation of the sampling distribution.
The critical value is determined based on the desired level of confidence, often denoted as (1 - α), where α is the significance level or the probability of making a Type I error.
The Margin of Error accounts for the variability in the sample and provides a measure of the precision of the estimate.
It reflects the trade-off between the desired level of confidence and the width of the interval.
A larger Margin of Error indicates a wider confidence interval, implying less precision and more uncertainty in the estimate.
Conversely, a smaller Margin of Error leads to a narrower confidence interval, indicating higher precision and greater certainty in the estimate.
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0.8
10
1.2
1.4
1.6
1.8
2.0
0.2881
0.3413
0.3849
0.4192
0.4452
0.4641
0.4772
2.8
3.0
3.2
3.4
3.6
0.4974
0.4987
0.4993
0.4997
0.4998
0.4999
0.5000
3.8
4.0
Standard Deviation Percentage Area
2.4
%
1.6
%
0.4
v%
1.4
3.6
v%
An article presents a study of health outcomes in women with symptoms of heart disease. In a sample of 115 women whose test results suggested the presence of coronary artery disease, the mean peak systolic blood pressure was 169.9 mmHg, with a standard deviation of 24.8 mmHg. In a sample of 235 women whose test results suggested an absence of coronary artery disease, the mean peak systolic blood pressure was 163.3 mmHg, with a standard deviation of 25.8 mmHg. Can you conclude that the mean peak systolic blood pressure differs between these two groups of women
Answer:
z(s) is in the rejection region we reject H₀ μ₁ = μ₂ and support the claim that at CI 95 % the means of the two groups differs
Step-by-step explanation:
Sample 1:
Sise sample n₁ = 115
μ₁ = 169,9 mmHg
σ₁ = 24,8 mmHg
Sample 2:
Sise sample n₂ = 235
μ₂ = 163,3 mmHg
σ₂ = 25,8 mmHg
We can develop a test hypothesis for differences in means to investigate if the mean peak systolic blood pressure differs between these two groups
We will choose CI = 95 % then significance level α = 5 %
α = 0,05 α/2 = 0,025
z(c) for 0,025 is from z-table z(c) = 1,96
Test Hypothesis:
Null Hypothesis H₀ μ₁ = μ₂
Alternative Hypothesis Hₐ μ₁ ≠ μ₂
The alternative hypothesis tells us that the test is a two-tail test.
z(s) = ( μ₁ - μ₂ ) / √ σ₁²/n₁ + σ₂²/n₂
z(s) = ( 169,9 -163,3 ) / √ (24,8)² /115 + ( 25,8)²/235
z(s) = 6,6 / √5,35 + 2,83
z(s) = 6,6 / 2,86
z(s) = 2,30
Comparing |z(c)| and |z(s)|
z(s) > z(c)
z(s) is in the rejection region we reject H₀ μ₁ = μ₂ and support the claim that at CI 95 % the means of the two groups differs
A box contains 54 coins which are either 20-cent coins or 50-cent coins. If the total value of all the coins is $20.70, find the number of 20-cent coins in the box. LOF 1 11.
Number of 20-cent coins in the box are 33.
1. Let's assume the number of 20-cent coins to be x and the number of 50-cent coins to be y.
2. We can set up two equations based on the given information:
- x + y = 54 (since the total number of coins in the box is 54)
- 0.20x + 0.50y = 20.70 (since the total value of all the coins is $20.70)
3. We can multiply the second equation by 100 to get rid of the decimals:
- 20x + 50y = 2070
4. Now, we can use the first equation to express y in terms of x:
- y = 54 - x
5. Substitute the value of y in the second equation:
- 20x + 50(54 - x) = 2070
6. Simplify and solve for x:
- 20x + 2700 - 50x = 2070
- -30x = -630
- x = 21
7. Substituting the value of x back into the first equation:
- 21 + y = 54
- y = 33
8. Therefore, there are 21 20-cent coins and 33 50-cent coins in the box.
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Enter the unknown number for the following
483 divided by __ = 21
please answer it’s due asap!
Answer:
m∠RSV = 58°
Step-by-step explanation:
Angles RSV and RSQ are supplementary angles. Supplementary angles are a total of 180°. Since we are given that ∠RSQ is 122°, we can solve for the measure of angle RSV by simply subtracting 122° from 180°.
m∠RSV = 180° - 122° = 58°
Question 8 (2 points) Saved
What are the ways to determine if a relation is a function? Select EACH correct
answer.
Passes a horizontal line test.
Passes vertical line test.
No repeating x values,
No repeating y values.
Answer: passes a horizontal AND vertical line test✅; no repeating x values✅
Step-by-step explanation:
To pass a line test, the function must pass BOTH the horizontal and vertical line test. If it only passes one but not the other, is it NOT a function.
Lastly, it can be a function if it has repeating y values.
The difference between a number and −22 is equal to the number times 11.
Answer:
The equation looks like this x-(-22)=11x
The answer for the equation is x=11/5
Step-by-step explanation:
Difference between a number (x) and -22
Difference means subtract so x subtracted by -22
x-(-22)
Is equal to: which means you put a =
the number times 11
number is x so x times 11 is 11x
The equation looks like this:
x-(-22)=11x
simplify
x+22=11x
Move x to the other side:
22=10x
Divide 10 on both sides:
x=22/10
Simplify
x=11/5
Hope this helps!
Answer:-11/5
Go Step-by-step-
The difference... -
between a number and 22.... n-22
equal to number times 11...
n-22=11n
subtract n
-22=10n
x=-11/5