Answers
It is a function, because it passes the vertical line test.
Related Questions
What are the zeros of the function h (x) = x² + 3x - 8?
A
x = -8 and x = -2
OB
x= -8 and x = 2
cx = -2 and x = 8
OD x = 2 and x = 8
Answers
The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.
Describe functions.Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.
The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.
By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.
h(x) = x² + 3x - 8 = 0
We may factor the left side of the equation to find x:
x² + 3x - 8 = (x-2)(x+4) = 0
We set each factor to zero and solve for x to discover the zeroes:
x-2 = 0 or x+4 = 0
x = 2 or x = -4
Consequently, the function's zeros are x = 2 and x = -4.
So, A is the right response. x = -4 and x = 2
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The complete question is
What are the zeros of the function h (x) = x² + 3x - 8?
A. x = -4 and x = -2
B. x= -8 and x = 2
C. x = -2 and x = 8
D. x = 2 and x = 8
Given that X N(300, 15), find the Interquartile Range (IQR) Select one: O a. 310.12 O b. 0.5 O c. 289.99 O d. 20.24.
Answers
The interquartile range (IQR) is found as the 20.24. The correct option is (d) 20.24.
Given that X N(300, 15), find the Interquartile Range (IQR).
The given distribution is normal with mean μ = 300 and standard deviation σ = 15.
We need to calculate the interquartile range (IQR).IQR is defined as the difference between the third quartile (Q3) and the first quartile (Q1).
The first quartile (Q1) is the value below which 25% of the data fall and the third quartile (Q3) is the value below which 75% of the data fall.
We can find these values using the standard normal distribution table.
For the first quartile,
z1 = invNorm(0.25)
= -0.67449
Q1 = μ + σ × z1
= 300 + 15 × (-0.67449)
= 289.88
≈ 289.89
For the third quartile,
z3 = invNorm(0.75)
= 0.67449
Q3 = μ + σ × z3
= 300 + 15 × 0.67449
= 310.12
Therefore, the interquartile range (IQR)
= Q3 – Q1
= 310.12 – 289.89
= 20.23
≈ 20.24
Hence, the correct option is (d) 20.24.
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4.* 4. Students were asked how many hours a weeknight they spend on homework and exercise. The dot plots display the results. Which statement is not supported? Homework Exercise LG 2 3 4 5 Number of Hours 1 2 3 4 5 Number of Hours A. More time is spent on homework than exercise. B. The mode activity times are equal. C. The median exercise time is not equal to the median homework time. D. The range of homework hours is greater for homework than for exercise ОА
Answers
Analyze each statement to see if it is supported by the dot plots or not.
A) More time is spent on homework than exercise.
Find the total time spent on each activity to compare
the sizes in degrees of the interior angles of a pentagon are consecutive even numbers what is the largest of these angles
Answers
The largest angle in the pentagon with consecutive even interior angle sizes is 112 degrees.
Let's assume the smallest interior angle of the pentagon is x degrees. Since the angles are consecutive even numbers, the other four angles can be expressed as x + 2, x + 4, x + 6, and x + 8 degrees.
The sum of the interior angles of a pentagon can be calculated using the formula: (n - 2) * 180 degrees, where n is the number of sides of the polygon. For a pentagon, the sum of the interior angles is (5 - 2) * 180 = 3 * 180 = 540 degrees.
Now, let's add up the five angles of the pentagon:
x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 540
Simplifying the equation:
5x + 20 = 540
5x = 540 - 20
5x = 520
x = 520 / 5
x = 104
So, the smallest interior angle, x, is 104 degrees. The largest interior angle is x + 8 = 104 + 8 = 112 degrees.
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At the grocery store, Thomas wants to buy 3 pumpkins for $2.49 per pumpkin and a turkey for $17.95. Thomas has a coupon for half off the price of the turkey. If Thomas has $15, does he have enough money? Explain your answer.
Answers
Answer:
no
Step-by-step explanation:
no because if he has 15.00 and the turkey is 17.95 then it is way over price
julie planned to walk 35 miles a week. On Monday and Wednesday she walked 5 miles each. tuesday and thursday she walked 3 miles each. friday she walked 2 miles, saturday she walked 7 miles. and sunday she walked 4 miles. she failed to reach her goal. what was julie's approximate percent error?
Answers
Answer:
11%.
Step-by-step explanation:
Total miles walked = 5+5+3+3 +2+7+4 = 29.
%age error = [(35-29)/35] * 100
= 4/35 * 100
= 11%.
=
Despite a wide variety of workplaces for those working in Human Services, all workplaces include
comfortable areas for interactions amongst people.
a variety of medical testing equipment.
desks where clients can sit across from the worker.
toys and exercise equipment for children.
Answers
Answer:
a variety of medical testing equipment.
Step-by-step explanation:
Answer:
c hope this helps if wrong please tell me
Step-by-step explanation:
The first glass contained 12 ounces of water. The second glass contained 11 ounces of water. The third glass contained 7 ounces of water. If water was poured from the first and second glasses into the third glass until each glass contained the same amount, then how many ounces of water would be in each glass
Answers
Step-by-step explanation:
Answer:
A: 19/40
Step-by-step explanation:
LCD = 40
7*5=35 ->35/40
3*8=24 ->24/40
combine like terms
for simplicity, I'll use a mixed number
1 19/40
subtract your "full glass"
1 19/40 - 1 = 19/40
Triangle UVW has vertices at U(−2, 0), V(−3, 1), W(−3, 3). Determine the vertices of image U′V′W′ if the preimage is rotated 180° counterclockwise.
U′(0, −2), V′(−1, −3), W′(−3, −3)
U′(0, −2), V′(1, −3), W′(3, −3)
U′(2, 0), V′(3, −1), W′(3, −3)
U′(−1, 0), V′(−3, 0), W′(3, −3)
Answers
To determine the vertices of image U′V′W′ after a 180° counterclockwise rotation, we can apply the following transformation rules:
A 180° counterclockwise rotation of a point (x, y) about the origin produces the point (-x, -y).To perform a rotation of a polygon, we apply the transformation rule to each vertex of the polygon.Using these rules, we can find the vertices of image U′V′W′ as follows:
Vertex U(-2, 0) is transformed to U′(0, -2), since (-(-2), -(0)) = (2, 0) becomes (0, -2) after the rotation.Vertex V(-3, 1) is transformed to V′(1, -3), since (-(-3), -(1)) = (3, -1) becomes (1, -3) after the rotation.Vertex W(-3, 3) is transformed to W′(3, -3), since (-(-3), -(3)) = (3, 3) becomes (3, -3) after the rotation.Therefore, the vertices of image U′V′W′ after a 180° counterclockwise rotation are U′(0, -2), V′(1, -3), and W′(3, -3).
So, the answer is option (b) U′(0, −2), V′(1, −3), W′(3, −3).
a publisher reports that 58% of their readers own a particular make of car. a marketing executive wants to test the claim that the percentage is actually more than the reported percentage. a random sample of 300 found that 62% of the readers owned a particular make of car. is there sufficient evidence at the 0.02 level to support the executive's claim? step 2 of 7 : find the value of the test statistic. round your answer to two decimal places.
Answers
Therefore, the value of the test statistic is 1.71.
The test statistic calculates the standard errors that separate the sample percentage from the predicted population proportion. The null hypothesis, which in this case is that the genuine proportion of readers who own the specific make of automobile is not greater than 58%, is stronger evidenced by a larger absolute value of the test statistic.
We must apply the following formula to determine the test statistic's value:
Z = (P - p) / (p*(1-p)/n), where P is the sample proportion, p is the hypothesised population proportion (0.58 in this case), n is the sample size (300), and sqrt stands for the square root.
By replacing the given values, we obtain the following result, which is rounded to two decimal places: z = (0.62 - 0.58), (0.58 * 0.42 / 300), z = 1.71.
The test statistic is positive, which indicates that the sample percentage of 62% exceeds the population proportion predicted by 58%. The difference between the sample proportion and the predicted population proportion is 1.71 standard errors distant from the mean, according to the value of 1.71. This indicates that the sample proportion is statistically significant at the 0.02 level, but in order to draw a firm conclusion, we must compare it to the critical value.
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Need some answers! Please and thank you
Answers
Answer:
t = -1Step-by-step explanation:
15 ( -2 + 2 ) + 9 ⋅ -2 = -18 = Wrong ✗
15 ( -1 + 2 ) + 9 ⋅ -1 = 6 = Correct ✔
15 ( -3 + 2 ) + 9 ⋅ -3 = -42 = Wrong ✗
15 ( -4 + 2 ) + 9 ⋅ -4 = -66 = Wrong ✗
Hope this helps! <3
six boys stood equally spaced on a circle of radius $40$ feet. each boy walked to all of the other non-adjacent persons on the circle, shook their hands and then returned to his original spot on the circle before the next boy started his trip to shake hands with all of the other non-adjacent boys on the circle. after all six boys had done this, what is the least distance in feet that could have been traveled? express your answer in simplest radical form.
Answers
The least distance traveled is \($240\sqrt{3}$\) feet.
Each boy shakes hands with the two boys who are not adjacent to him on the circle. Since there are six boys in total, each boy shakes hands with four other boys. We can represent these handshakes on a graph, where the six vertices represent the six boys and the edges represent the handshakes. Each vertex has degree 4, meaning that there are 12 edges in total.
To minimize the distance traveled, each boy should simply walk directly across the circle to shake hands with the two boys on the opposite side. This way, each boy walks a distance equal to the diameter of the circle, which is \(2 \times 40 = 80$ feet.\)
Since there are six boys, the total distance traveled is \(6 \times 80 = 480$ feet\). However, we have counted each handshake twice, so we need to divide by 2 to get the total distance traveled. This gives us \(240$ feet.\)
To express this answer in the simplest radical form, we can use the fact that an equilateral triangle with side length \(s$\) has height \(s\sqrt{3}/2$\). The six handshakes form an equilateral triangle with side length 80, so its height is \(80\sqrt{3}/2 = 40\sqrt{3}$ feet\). Therefore, the total distance traveled is \(240\sqrt{3}$\) feet.
Therefore, the correct answer is \(240\sqrt{3}$\)feet.
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Problem Description: An example of arithmetic progression would be a series of integers (which we will call terms) like: 3, 7, 11, 15, 19, 23, 27, 31, ... Note that 3 is the first term, 7 is the second term, 11 is the 3rd term, etc. 4 is the common difference between any two consecutive terms. Now, if we know that the progression has 100 terms, we would be interested in calculating the 100th term as well as the sum and the float average of all 100 terms. The following formulas can be used to calculate these items: LastTerm = FirstTerm + (NumberOfTerms - 1) x CommonDifference Sum of all terms = NumberOfTerms x (FirstTerm + LastTerm) / 2 Average of all terms = (Sum of all terms) / NumberOf Terms The program should adhere to the following pseudocode: 1. Prompt for and read the first term 2. 3. Prompt for and read the common difference Prompt for and read the number of terms Calculate the last term (see formula above) 4. 5. Calculate the sum of all the terms (see formula above) Calculate the average of all the terms (see formula above) 7. Display the results 6. Your program must match the following sample run (between the lines of dashes). Note that the 3, 3, and 100 on the first three lines were entered by the user. You should also check results for other set of inputs as well. Enter first term: 3 Enter common difference: 3 Enter number of terms: 100 The last term is 300 The sum of all the terms is 15150 The average of all the terms is 151.5
Answers
The last term is 300
The sum of all the terms is 15150.0
The average of all the terms is 151.5
Here is an example solution in Python that follows the given pseudocode:
# Prompt for and read the first term
first_term = int(input("Enter first term: "))
# Prompt for and read the common difference
common_difference = int(input("Enter common difference: "))
# Prompt for and read the number of terms
number_of_terms = int(input("Enter number of terms: "))
# Calculate the last term
last_term = first_term + (number_of_terms - 1) * common_difference
# Calculate the sum of all the terms
sum_of_terms = number_of_terms * (first_term + last_term) / 2
# Calculate the average of all the terms
average_of_terms = sum_of_terms / number_of_terms
# Display the results
print("The last term is", last_term)
print("The sum of all the terms is", sum_of_terms)
print("The average of all the terms is", average_of_terms)
If you run this code and enter the values from the sample run (first term: 3, common difference: 3, number of terms: 100), it will produce the following output:
The last term is 300
The sum of all the terms is 15150.0
The average of all the terms is 151.5
The program prompts the user for the first term, common difference, and number of terms. Then it calculates the last term using the given formula. Next, it calculates the sum of all the terms and the average of all the terms using the provided formulas. Finally, it displays the calculated results.
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What is 88% of %33.00
Answers
88/100 * 33/100
0.88*0.33
0.2904
29.04%
what shape has the largest area for a given perimeter?
With process
Answers
Answer: A circle
Step-by-step explanation: a circle
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Question:
You need to buy some fabric to make the masks. You know that you can make 3 1/2 masks with 2 yards of fabric, but you want to make 80 masks. How much fabric do you need to buy?!
Answers
Answer:
46 yards of fabric
Step-by-step explanation:
Write the equation of the line given the slope and a point that the line passes through The line that has a slope (m) of (1)/(4) and passes through the point (16,-2)
Answers
The equation of the line with a slope of 1/4 that passes through the point (16,-2) is y = (1/4)x - 6.
We can use the point-slope form of a linear equation to write the equation of the line:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is a point on the line.
Substituting the given values, we get:
y - (-2) = (1/4)(x - 16)
Simplifying this equation, we get:
y + 2 = (1/4)x - 4
Subtracting 2 from both sides, we get:
y = (1/4)x - 6
Therefore, the equation of the line with a slope of 1/4 that passes through the point (16,-2) is y = (1/4)x - 6.
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what are the properties ?
Line 1: (-7x+3)+2x
Line 2: (3+(-7x))+2x
Line 3: 3+(-7x+2x)
Line 4: 3+(-5x)
Answers
Step-by-step explanation:
line number Property
Line 1: (-7x+3)+2x associative (gathering -7x and 3)
Line 2: (3+(-7x))+2x. Commutative (change the positions of 3 and -7x)
Line 3: 3+(-7x+2x). associatI’ve
Line 4: 3+(-5x)
The price of Stock A at 9 A.M. was $12.71. Since then, the price has been increasing at the rate of $0.12 each hour. At noon the price of Stock B was $13.46. It begins to decrease at the rate of $0.13 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answers
The prices of the two stocks will be the same after 3 hours from noon.
What is stock?A stock, also known as equity, is a security that represents the ownership of a fraction of the issuing corporation.
Given that, The price of Stock A at 9 A.M. was $12.71. Since then, the price has been increasing at the rate of $0.12 each hour. At noon the price of Stock B was $13.46. It begins to decrease at the rate of $0.13 each hour.
Let the hours when they equalize at h, then we have:
12.71 + 0.12h = 13.46 - 0.13h
0.25h = 0.75
h = 3
Hence, the prices of the two stocks will be the same after 3 hours from noon.
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is .849 greater than .90
Answers
Answer:
NO it isnt.
Step-by-step explanation:
Go right of the decimal and throught the different place values. Since the number just right of the decimal is the highest place value, whichever number is greater, holds the greater value.
find the yy -component of vector a⃗ a→ = (5.0 m/s2m/s2 , −y−y -direction).
Answers
The yy-component of vector a a is -y-direction, which is equal to 0 m/s2.the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.
Given a vector, a⃗ a→ = (5.0 m/s2, −y−direction)Find the yy -component of the given vector a⃗ a→.Solution: The yy-component of the given vector a⃗ a→ = -y-directionTo find the yy-component of the given vector a⃗ a→, we have to take the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.Therefore, the yy-component of vector a⃗ a→ is :a_yy = -y-direction = (-1)(0) = 0 m/s² Answer: 0 m/s².
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The yy-component of vector a⃗ a→ is -y-direction.
Explanation:The yy-component of a vector represents the magnitude of the vector in the y-direction.
In this case, the vector a⃗ a→ is given as (5.0 m/s2, −y-direction).
Since the yy-component is the magnitude in the y-direction, the yy-component of the vector a⃗ a→ is -y-direction.
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How many bit strings of length 10 have: The same number of 0s as 1s = ?
Answers
The number of bit strings of length 10 with the same number of 0s as 1s is 252.
To understand why, let's break down the problem step by step.
Calculate the total number of possible bit strings of length 10.
Each bit in a string can either be 0 or 1, so for a string of length 10, we have 2 options for each bit. Therefore, the total number of possible bit strings is 2^10 = 1024.
Calculate the number of bit strings with an equal number of 0s and 1s.
For a bit string to have the same number of 0s as 1s, we need to choose 5 positions for the 0s out of the 10 positions available. Once we've chosen the positions for the 0s, the positions for the 1s are automatically determined.
The number of ways to choose 5 positions out of 10 is given by the binomial coefficient "10 choose 5," which can be calculated as C(10, 5) = 252.
Therefore, the main answer is that there are 252 bit strings of length 10 that have the same number of 0s as 1s.
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Write the percent as a fraction or mixed number in simplest form.
31.25%
Please show work!
Answers
find the slope (0, -3) and (9, 0) PLEASE SHOW YOUR WORK, WILL MARK BRAINLEIST
Answers
===================================================
Work Shown:
Use the slope formula to get
m = (y2 - y1)/(x2 - x1)
m = (0 - (-3))/(9 - 0)
m = (0 + 3)/(9 - 0)
m = 3/9
m = 1/3
----------------
Basically we subtract the y coordinates, and do the same for the x coordinates as well (subtract in the same order). Afterward, divide the two results. Reduce the fraction as much as possible.
A slope of 1/3 means we move up 1 unit each time we move to the right 3 units.
The slope being positive means the line goes uphill as you read from left to right.
Solve each triangle. Round your answers to the nearest tenth.
m∠A = 60°, m∠B = 30°, c = 30 cm
Answers
Answer:
mb = 30
Step-by-step explanation:
i got it from me school
Answer:
Angle C = 90°
a = 15sqroot3
b = 15
Step-by-step explanation:
Solve a triangle means to find all the angles and all the sides.
Angle C must be 90° because all the angles of a triangle add up to 180°.
That makes this a 30°-60°-90° triangle so there are SHORTCUTS to finding the sides so you don't have to use trig or pythagorean thm.
SHORTCUT:
The shortest side is half the longest side. (The short leg is half the hypotenuse) and/or the longest side is twice the shortest side.
SHORTCUT:
The long leg is the shortleg•sqroot3
(advanced mode: the shortleg is the longleg/sqrt3)
So for your problem, the hypotenuse is 30, so the short leg is 15. And that makes the long leg 15sqrt3. See image.
Dao receives an employee discount on the purchase of a new automobile. The automobile that he is interested in has a sticker price of $18,560. If his discount is 18 percent, what is the price that Dao will pay?
Answers
The discounted price of the Dao will be equal to $14315.2.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Dao receives an employee discount on the purchase of a new automobile. The automobile that he is interested in has a sticker price of $18,560.
The discounted price will be calculated as,
Discounted price = 18560 x 0.92
Discounted price = $14315.2
Therefore, the discounted price of the Dao will be equal to $14315.2.
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Use the distributive property to simplify the following expression:
3xy(5xy + 3x + 4y + 9)
Answers
Answer:
15x^2y^2+9x^2y+2xy^2+27xy
Step-by-step explanation:
) Verify if the lines: x a d y a z a d and x b c y b z b c are coplanar. If yes, then find the equation of the plane in which they lie
Answers
The lines: x a d y a z a d and x b c y b z b c are coplanar.The equation of the plane is given by: (a(x - x₁) + d(a - y₁))(b(y - y₁) + c(b - y₁)) = 0 where (x₁, y₁) are the coordinates of the chosen points.
To determine if the lines x a d y a z a d and x b c y b z b c are coplanar, we need to check if they lie on the same plane. Two lines are coplanar if they either intersect or are parallel and lie on the same plane.
In this case, we can observe that the two lines have a common direction vector (a, d) and (b, c), respectively. This implies that they are parallel.
To find the equation of the plane in which they lie, we can use any two points from each line. Let's choose the point (x, a, y) from the first line and the point (x, b, y) from the second line.
We can then use these points along with the direction vectors (a, d) and (b, c) to write the equation of the plane using the point-normal form.
The equation of the plane is given by:
(a(x - x₁) + d(a - y₁))(b(y - y₁) + c(b - y₁)) = 0
where (x₁, y₁) are the coordinates of the chosen points.
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The rate of change of function f is the same from x = −9 to x = −4 as it is from x = 1 to x = 6.
Use the drop-down menu to complete the statement.
Function f is a(n)
quadratic or linear or exponential <-- which one of these three
function
Answers
The rate of change remains the same over the mentioned intervals, function f cannot be quadratic or exponential.
Hence, it can be concluded that function f is a linear function.
Based on the given information that the rate of change of function f is the same from x = -9 to x = -4 as it is from x = 1 to x = 6, we can conclude that function f is a linear function.
A linear function is characterized by a constant rate of change, meaning that the change in the function's value is consistent over any given interval.
In this case, the rate of change remains the same from x = -9 to x = -4 and from x = 1 to x = 6.
On the other hand, a quadratic function is characterized by a changing rate of change, meaning that the function's value changes at an increasing or decreasing rate over different intervals.
An exponential function, on the other hand, exhibits a rapid growth or decay with an increasing rate of change.
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what are all the values of c that will make x^2 cx 121 a perfect square ?
Answers
Answer:
c = -22, 22
Step-by-step explanation:
\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)
\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)