Answer:
R: -9 < y < ∞
(option D)
Step-by-step explanation:
So, the range of a function/relation is all possible y-values
(the domain is all possible x-values)
So, from looking at this graph, we can see where there is a y-value.
We can first ask ourselves: what is the highest possible y-value of this function?
Because there is an arrow approaching infinity, we can assume that the greatest possible y-value is ∞.
(note: our y < ∞ ; not ≤ ∞. This is because even though the y-value is approaching infinity, it can never truly be equal to infinity)
Next, we can observe: what is the lowest possible y-value of this function?
We can see that there is an asymptote {a curve constantly approaching, yet never reaching a value} at -9. This means that our y-value will never reach -9, so every possible y-value must be [at least slightly] greater than -9.
(note: our y > -9, not ≥ -9, because it is not possible for the y-value to truly be equal to -9)
So, if we combine this information:
y > -9
y < ∞
-9 < y < ∞
(We put R: in front of our range to signify that it is range--as opposed to domain)
Hope this helps!!
in school curriculums, mathematical variables first appear in the seventh grade. why aren't they introduced in the fourth or fifth grade?
a cookie recipe calls for 10 cups of milk. Magdahas already put in 7.3 cups. How many more cups does she need to put in?
Find the equation of the line.
Use exact numbers.
y = __x + __
Answer:
\(y=-0.25x-6\)
Step-by-step explanation:
if you look at the graph, the y intercept is -6, so when x is 0, y has to be -6. The slope is -0.25 because the slope is equal to change in y divided by change in x which is -1/4=-0.25
Large samples of women and men are obtained, and the hemoglobin level is measured in each subject. Here is the 95% confidence interval for the difference between the two population means, where the measures from women correspond to population 1 and the measures from men correspond to population 2:
negative 1.76 g divided by dL less than mu 1 minus mu 2 less than minus 1.62 g divided by dL
−1.76 g/dL<μ1−μ2<−1.62 g/dL. Complete parts (a) through (c) below.
a. What does the confidence interval suggest about equality of the mean hemoglobin level in women and the mean hemoglobin level in men?
Answer:
a) Because the confidence interval does not include 0 it appears that there
is a significant difference between the mean level of hemoglobin in women and the mean level of hemoglobin in men.
b)There is 95% confidence that the interval from −1.76 g/dL<μ1−μ2<−1.62 g/dL actually contains the value of the difference between the two population means μ1−μ2
c) 1.62 < μ1−μ2< 1.76
Step-by-step explanation:
a) What does the confidence interval suggest about equality of the mean hemoglobin level in women and the mean hemoglobin level in men?
Given:
95% confidence interval for the difference between the two population means:
−1.76g/dL< μ1−μ2 < −1.62g/dL
population 1 = measures from women
population 2 = measures from men
Solution:
a)
The given confidence interval has upper and lower bound of 1-62 and -1.76. This confidence interval does not contain 0. This shows that the population means difference is not likely to be 0. Thus the confidence interval implies that the mean hemoglobin level in women and the mean hemoglobin level in men is not equal and that the women are likely to have less hemoglobin than men. This depicts that there is significant difference between mean hemoglobin level in women and the mean hemoglobin level in men.
b)
There is 95% confidence that the interval −1.76 g/dL<μ1−μ2<−1.62 g/dL actually contains the value of the difference between the two population means μ1−μ2.
c)
If we interchange men and women then
confidence interval range sign will become positive.μ1 becomes the population mean of the hemoglobin level in menμ2 becomes the population mean of the hemoglobin level in women So confidence interval becomes:1.62 g/dL<μ1−μ2<1.76 g/dL.
There is a significant difference between the mean level of hemoglobin in women and in men.
How to interpret the confidence intervalThe confidence interval of the mean is given as:
\(-1.76 g/dL < \mu_1-\mu_2 < -1.62 g/dL\)
The above confidence interval shows that the confidence interval is exclusive of 0.
This means that 0 is not part of the confidence interval
Since the confidence interval is exclusive of 0, then there is a significant difference between the mean level of hemoglobin in women and in men.
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Is the vertical component of velocity ever zero? If so, where?
The vertical component of velocity can be zero at specific points in the motion of an object.
What is Velocity?
Velocity is a vector quantity that describes the rate of change of an object's position in space over time. It is defined as the displacement of an object divided by the time interval during which the displacement occurred.
The vertical component of velocity can be zero at specific points in the motion of an object. This occurs when the object reaches the highest point in its vertical motion and begins to fall back down. At this point, the vertical component of velocity changes direction from upward to downward, and its magnitude becomes zero. This moment is known as the "instant of maximum height" or "instant of maximum altitude." Beyond this point, the vertical component of velocity becomes negative, indicating that the object is moving downward.
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If x:y = 1/2:1/3 and y:z = 1/5:1/6, find x:y:z
The value of the ratio x : y : z is 1/2 : /3 : 5/18
How to determine the ratioFrom the question, we have the following parameters that can be used in our computation:
x:y = 1/2:1/3 and y:z = 1/5:1/6
Express the ratio properly
So, we have the following representation
x : y = 1/2 : 1/3 and y : z = 1/5 : 1/6
Multiply the ratio y : z = 1/5 : 1/6 by 5/3
So, we have
y : z = 1/3 : 5/18
So, we have
x : y : y : z = 1/2 : 1/3 : 1/3 : 5/18
Remove the repetition
This gives
x : y : z = 1/2 : /3 : 5/18
Hence, the ratio is 1/2 : /3 : 5/18
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Find the midpoint between -4 and 36
Answer:
16
Step-by-step explanation:
One evening in snowed in several towns the number of inches of snow received are shown in the list below
Answer:
Please find the required line chart created with MS Excel
Step-by-step explanation:
Question:
The given data are;
3/4, 1 1/2, 2, 1 1/4, 3/4, 2, 1 1/2, 1 1/4, 1 1/2, 1/2, 1
In the question, it is required to create a line plot to represent the data
The given data can be sorted in ascending order in decimal form as follows;
0.5, 0.75, 0.75, 1, 1.25, 1.25, 1.5, 1.5, 1.5, 2
The line chart created with MS Excel is attached.
Answer:
3/4, 1 1/2, 2, 1 1/4, 3/4, 2, 1 1/2, 1 1/4, 1 1/2, 1/2, 1
In the question, it is required to create a line plot to represent the data
The given data can be sorted in ascending order in decimal form as follows;
0.5, 0.75, 0.75, 1, 1.25, 1.25, 1.5, 1.5, 1.5, 2
Step-by-step explanation:
A 38 gram sample of a substance that is used to sterilize surgical instruments has a k-value of 0.113. Find the substance's half-life in days, round to the nearest tenth.
Answer:
6.13 days
Step-by-step explanation:
Hello,
This question directly relates to radioactivity of a substance.
Data,
k = 0.113
Initial mass (No) = 38g
Half life of the substance (T½) = ?
To solve this question, we don't need the value of the initial mass because the variables in half life (T½) formula does not require it.
T½ = ln2 / k
Note : ln2 is a constant derived while k is the decay constant of the substance
T½ = 0.693 / 0.113
T½ = 6.13 days
The half life of the substance is 6.13 days
What is the measure of Zx?
60
8
75°
The measure of angle x is 135 degrees
How to find the angle x?An angle is formed when two straight lines or rays meet at a common endpoint.
The common point of contact is called the vertex of an angle.
The measure of the angle x can be found as follows:
The angle x is the sum of angle 60 degrees and 75 degrees.
Therefore,
∠x = 60° + 75°
∠x = 60° + 75°
∠x = 135 degrees
Therefore, the measure of angle x is 135 degrees
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how to solve this math equation
so we know the equation to get the total forces is
\(\cfrac{Kg\cdot m}{s^2} ~~ \begin{cases} Kg=kilograms\\ m=meters\\ s=seconds \end{cases}\implies Kg\cdot \cfrac{m}{s^2}\implies Kg\cdot (acceleration)\)
the idea being, well, we have to do unit conversion, we know the object has a mass of 80 grams, hmmm that's not Kilograms, however since there are 1000 grams in a Kg, we can just convert that, and the acceleration of it is 20 m/s², so
\(\stackrel{ Kilograms }{\cfrac{80}{1000}}\cdot \stackrel{ accelaration }{20}\qquad \impliedby \textit{sum of the forces}\)
how does y sqaured eqaul 169
Answer:
13
Step-by-step explanation:
A number squared is just a number multiplied by itself.
13 x 13 is 169.
Answer is 13.
Hope this helps!
P.S, Brainliest, please, thanks!
I WILL GIVE BRAINLIEST IF ANSWER IS RIGHT
Answer:
It might be a because 4 / 7 is 10.5830052443
Step-by-step explanation:
Which point of concurrency is determined by the three altitudes of any triangle?
The point of concurrency determined by the three altitudes of any triangle is called the orthocenter of the triangle.
The orthocenter is the intersection of the three altitudes of the triangle. It is a point on the plane of the triangle that is equidistant from the three sides of the triangle.
To find the orthocenter of a triangle, you can draw the altitudes of the triangle and find the point where they intersect. The orthocenter is the point of concurrency for the three altitudes.
An orthocenter of a triangle is a point where the three lines that are perpendicular to the sides of the triangle intersect. These lines are called altitudes of the triangle.
Alternatively, you can use the following formula to find the coordinates of the orthocenter:
Let's say that the vertices of the triangle are A(x1, y1), B(x2, y2), and C(x3, y3). The coordinates of the orthocenter (H) can be found using the following formula:
Hx = ( (y1 - y3) (x1^2 + y1^2 - x3^2 - y3^2) - (y1 - y2) (x1^2 + y1^2 - x2^2 - y2^2) ) / (2 * (y1 - y3) - 2 * (y1 - y2))
Hy = ( (x1 - x3) (x1^2 + y1^2 - x3^2 - y3^2) - (x1 - x2) (x1^2 + y1^2 - x2^2 - y2^2) ) / (2 * (x1 - x3) - 2 * (x1 - x2))
Therefore, The point of concurrency determined by the three altitudes of any triangle is called the orthocenter of the triangle
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Given f(x) = -x + 5, find f(-3).
Answer:
\(\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}\)
Given f(x)=-x+5, find f(-3).
\(\rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}\)
We have the function
\(\longmapsto\sf{f(x)=-x+5}\)
We need to find
\(\longmapsto\sf{f(-3)=}\)
What we need to do:-Replace x with -3:-\(\longmapsto\sf{f(x)=-(-3)+5}\)
Simplifying,
\(\longmapsto\sf{f(x)=3+5}\)
(which is the exact same thing as 5-3)
Henceforth, We conclude that the answer is
\(\longmapsto\sf{f(-3)=8}\)
Good luck with your studies. \(\ddot\smile\)#TogetherWeGoFar ~
\(\rule{300}{1}\)
Hey there!
Find f(-3) :
Answer :f(-3) = 8 ✅
Explanation :f(x) = -x + 5
>> Substitute -3 for x in f(x) :
f(-3) = -(-3) + 5
f(-3) = 3 + 5
f(-3) = 8
Therefore, your answer is f(-3) = 8
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Pls help?!?!?! 10 points
Answer:
I solved it for u!
Hope ot helps!!!
Directions: Solve the polynomials y
using the indicated operation .
1. ( -3x² - 8x + 2 ) + ( -5x² - 9x - 2 )
___________
2. ( -2x² + 7x - 1 ) - ( 8x² - 6x + 5 )
___________
3. (5x² - 5xy - 10y²)+ (5x² + 5xy + 10y²)
___________
4. ( 2 + 8x + 4x² ) - ( 9 + 6x + 2x² )
___________
5. ( 4x³ + 5x² + 3x ) - ( 3x³ + 6x² - 1 )
___________
Need answer please ❣️
Now na Brainlest ❣️ ko maka answer ❣️
Answer:
Step-by-step explanation:
In this question we will solve the polynomials by adding or subtracting the similar terms.
1). (-3x² - 8x + 2) + (-5x² - 9x - 2)
= (-3x²- 5x²) - (8x + 9x) + (2 - 2)
= (-8x²) - 17x + 0
= -8x² - 17x
2). (-2x² + 7x - 1) - (8x² - 6x + 5)
= (-2x² - 8x²) + (7x + 6x) - (1 + 5)
= -10x² + 13x - 6
3). (5x²- 5xy - 10y²) + (5x²+ 5xy + 10y²)
= (5x² + 5x²) + (-5xy + 5xy) + (-10y² + 10y²)
= 10x²
4). (2 + 8x + 4x²) - (9 + 6x + 2x²)
= (2 - 9) + (8x - 6x) + (4x² - 2x²)
= -7 + 2x + 2x²
5). (4x³ + 5x²+ 3x) - (3x³ + 6x²- 1)
= (4x³ - 3x³) + (5x² - 6x²) + 3x + 1
= x³- x² + 3x + 1
Mom’s muffin recipe uses 10 ounces of berries for 2 dozen muffins grandma’s muffin recipe uses 12 ounces of berries for 3 dozen muffins which recipe has more berries per dozen muffins how many ounces of berries would you need to make 60 muffins of this recipe (1 dozen = 12 muffins)
Answer:
can u add a photo for me to see
Can all polynomials be factored?
Answer:
yes they can
Step-by-step explanation:
Please help! Will give brainliest!!
Always use 2 decimals and only enter the number as your answer. No unit!
It took a person 6 minutes to walk from point A to point B which is 150m apart, then 5.5 minutes from the far end (point B) back to the starting point. Let's assume the direction from A to B is Positive (+).
1. This person's round trip average speed was _____ m/s.
2. This person's average velocity from point A to point B was _____ m/s.
3. This person's average velocity from point B back to point A was ____ m/s.
4. This person's average round trip velocity was ______ m/s.
5. The total "displacement" for the round trip was _____ m.
Answer:
1. .43 m/s or 26.08 meters per min
5. The total displacement is 0
Step-by-step explanation:
If you roll two dice, what is the probability of landing on the numbers 3 and 6?
Answer:
2/36 or 1/18
Step-by-step explanation:
rolling two dice produces 36 outcomes
rolling a 3 and a 6 is one outcome
rolling a 6 and a 3 is a second outcome
Samantha has three dogs. Goldie
weighs 36 pounds. Bluebell weighs 1/
times as much as Goldie. Fluffy weighs
7 times as much as Goldie. Which
gives the order of the dogs from
lightest to heaviest?
8
PLS HELPPP ITS A GRADE
The order of the dogs from lightest <-> heaviest is Goldie, Fluffy, Bluebell.
What is the order of Samantha's dogs by weight?A weight refers to the body's relative mass or the quantity of matter contained by it.
Given that:
Goldie weighs 36 pounds.
Bluebell weighs 1 1/6 times as much as Goldie. This is:
= (6/6 + 1/6) * 36
= 42 pounds.
Fluffy weighs 7/8 times as much as Goldie. This is:
= 36 * 7/8
= 31.5 pounds.
Full question:
Samantha has three dogs. Goldie weighs 36 pounds. Bluebell weighs 1 1/6 times as much as Goldie. Fluffy weighs 7/8 times as much as Goldie. Which gives the order of the dogs from lightest to heaviest?
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If a letter of the alphabet is chosen at random, what is the probability that it will be a vowel? (Y is not a vowel.) a. 1/2 b. 3/13 c. 1/5 d. 5/26 Please select the best answer from the choices provided A B C D
Answer: I believe D.
solve the inequality 2c/3 + 1 > 7
Answer:
I assume the inequality is
\(\sf{ \dfrac{2c}{3} + 1 > 7}\)
\(\sf{ \dfrac{2c}{3} > 7-1}\)
\(\sf{ 2c> 18}\)
\(\sf{ c > 9}\)
c ∈ ( 9 , ∞ )In simple linear regression analysis, the least squares regression line minimizes the sum of the squared differences between actual and predicted y values.
True
False
True. In simple linear regression analysis, the least squares regression line is a line that best fits the given data by minimizing the sum of the squared differences between the actual y values and the predicted y values.
This line is obtained by finding the slope and intercept that minimize the sum of the squared residuals.
The sum of the squared differences, also known as the sum of squared residuals or the sum of squared errors, measures the overall distance between the observed y values and the predicted values on the regression line. By minimizing this sum, the least squares regression line provides the best-fitting line that represents the relationship between the dependent variable (y) and the independent variable (x) in a linear manner.
Therefore, it is true that in simple linear regression analysis, the least squares regression line minimizes the sum of the squared differences between actual and predicted y values.
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multiplication of fractions are different from multiplication of whole numbers. T/F
True. Multiplication of fractions is indeed different from multiplication of whole numbers. When multiplying fractions, you need to multiply both the numerators (the top numbers) and the denominators (the bottom numbers) separately. The resulting product is a fraction with the multiplied numerators as the new numerator and the multiplied denominators as the new denominator.
1. Multiply the numerators: Multiply the numbers on the top (the numerators) of the fractions together. This gives you the new numerator of the resulting fraction.
2. Multiply the denominators: Multiply the numbers on the bottom (the denominators) of the fractions together. This gives you the new denominator of the resulting fraction.
3. Simplify, if possible: If the resulting fraction can be simplified, divide both the numerator and the denominator by their greatest common divisor (the largest number that divides evenly into both). This step ensures that the fraction is in its simplest form.
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If the discriminant of an equation is 10, then the roots are
A) real, rational, and unequal
B) real, irrational, and unequal
C) real, rational, and equal
D) imaginary
Answer:
b
Step-by-step explanation:
Since the given discriminant is 10, hence the roots will be real, irrational, and unequal
Discriminant of an equation
The discriminant is used to determine the nature of the roots of a quadratic equation. The formula for finding the discriminant is expressed as:
D = b^2 - 4ac
If D > 0, the nature of the roots are real, irrational, and unequal If D < 0, the nature of the roots are imaginarySince the given discriminant is 10, hence the roots will be real, irrational, and unequal
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How do you find the scale factor of a dilation with a center of dilation?
The scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).
What is dilation?
A dilation is a transformation that creates an image that has the same shape as the original but is larger.
• An enlargement is a dilation that produces a larger image.
• A reduction is a dilation that produces a smaller image.
• A dilation expands or contracts the original figure.
A dilation is a stretch or a shrink in the size and location of a figure or point.
The scale factor in a dilation is the amount by which the figure is stretched or shrunk.
The center of dilation is a reference point used to appropriately scale the dilation of a figure. Given a point on the pre-image, \((x_1, y_1)\)and a corresponding point on the dilated image \((x_2, y_2)\)and the scale factor,
k, the location of the center of dilation, \((x_0,y_0)\) is
\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\)
Hence, the scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).
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Consider Hermitian matrices M 1
,M 2
,M 3
,M 4
that obey M i
M j
+M i
M i
=2δ ij
I,i,j=1,2,3,4 1) Show that the eigenvalues of M i
are ±1. 2) Show that all M i
are traceless.
1) The eigenvalues of Mi are ±1.
2) All Mi are traceless.
In the given problem, we are dealing with Hermitian matrices Mi that satisfy the equation MiMj + MiMi = 2δijI, where δij is the Kronecker delta symbol and I represents the identity matrix.
Eigenvalues of MiTo show that the eigenvalues of Mi are ±1, we can consider the eigenvector equation Mi|v⟩ = λ|v⟩, where |v⟩ is an eigenvector of Mi and λ is the corresponding eigenvalue.
Let's assume λ is an eigenvalue of Mi and |v⟩ is the associated eigenvector. Taking the inner product of both sides with ⟨v| (the conjugate transpose of |v⟩), we have:
⟨v|Mi|v⟩ = λ⟨v|v⟩
Since Mi is Hermitian, ⟨v|Mi|v⟩ is a real number. Similarly, ⟨v|v⟩ is also a real number because the inner product of a vector with its conjugate transpose is always real.
Now, let's evaluate the left-hand side of the equation using the given properties of Mi:
⟨v|Mi|v⟩ = ⟨v|MiMi + MiMi|v⟩/2 = ⟨v|2I|v⟩/2 = 2⟨v|v⟩/2 = ⟨v|v⟩
Substituting this back into the eigenvector equation, we have:
λ⟨v|v⟩ = ⟨v|v⟩
Since ⟨v|v⟩ is a nonzero real number (the norm of a vector is nonzero unless the vector is the zero vector), we can divide both sides of the equation by ⟨v|v⟩ to obtain:
λ = 1
Therefore, the eigenvalues of Mi are ±1.
Tracelessness of MiTo show that all Mi are traceless, we need to demonstrate that the trace of each matrix Mi is zero. The trace of a matrix is defined as the sum of its diagonal elements.
Consider the trace of Mi:
Tr(Mi) = Tr(MiMi + MiMi)/2 = Tr(2δiiI)/2 = Tr(2I)/2 = Tr(I) = dim(I)
Since the identity matrix I has dimensions equal to the size of Mi (4x4 in this case), the trace of I is equal to the dimension of I. Therefore, Tr(Mi) = dim(I).
However, the trace of Mi is also given by the sum of its eigenvalues. From Step 1, we know that the eigenvalues of Mi are ±1. Since the sum of ±1 is zero, the trace of Mi is also zero.
Hence, we have shown that all Mi are traceless.
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a machine used to fill beverage cans is supposed to put exactly ounces of beverage in each can, but the actual amount varies randomly from can to can. in a sample of cans, the standard deviation of the amount was ounce. a simple random sample of filled cans will have their volumes measured, and a confidence interval for the mean fill volume will be constructed. estimate the number of cans that must be sampled for the margin of error to be equal to ounce.
Approximately 97 cans must be sampled to achieve a margin of error of 0.01 ounce.
To estimate the number of cans that must be sampled for the margin of error to be equal to 0.01 ounce, we'll use the formula for the sample size in a confidence interval:
\(n = \left(\frac{Z \cdot \sigma}{E}\right)^2\)
where n is the sample size, Z is the Z-score for the desired confidence level (95% in this case), σ is the standard deviation (0.05 ounce), and E is the margin of error (0.01 ounce).
For a 95% confidence interval, the Z-score is approximately 1.96. Plugging the values into the formula, we get:
n = \(\(\left(\frac{{1.96 \cdot 0.05}}{{0.01}}\right)^2\)\)
n ≈ (9.8)²
n ≈ 96.04
Since we can't have a fraction of a can, we'll round up to the nearest whole number. Therefore, a sample size of approximately 97 cans is needed for the margin of error to be equal to 0.01 ounce with a 95% confidence interval.
This question should be provided as:
A machine used to fill beverage cans is supposed to put exactly 12 ounces of beverage in each can, but the actual amount varies randomly from can to can. in a sample of cans, the standard deviation of the amount was σ= 0.05 ounce. A simple random sample of filled cans will have their volumes measured, and a 95% confidence interval for the mean fill volume will be constructed. Estimate the number of cans that must be sampled for the margin of error to be equal to 0.01 ounce.Learn more about margin of error: https://brainly.com/question/10218601
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