Answer: f(-2)=3
Step-by-step explanation:
f(-2)=(-2-1)^2+3(-2)
=9-6
=3
This is the only true statement out of the questions.
So the answer would be -2.
Determine which line passing through the given points has a steeper slope.
Line 1:(0,-4) and (2,2)
Line 2:(0,-4) and (4,5)
The line which have a steeper slope is Line 1.
It is given in the question that the points on the line are given by:-
Line 1: (0,-4) and (2,2)
Line 2:(0,-4) and (4,5)
We have to find which line has a steeper slope.
First we will find the slope of each line.
We know that slope of a line with points (a,b) and (c,d) is given by:-
(d-b)/(c-a)
Slope of Line 1:
(2-(-4))/(2-0) = 6/2 = 3
Slope of Line 2:
(5-(-4))/(4-0) = 9/4 = 9/4 = 2.25
We know that greater the slope of the line means greater the steep of the line.
As,
3 > 2.25
Hence, Line 1 is steeper than Line 2.
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The change in fuel remaining from one row to the next in the table is gallon(s). the change in distance from one row to the next in the table is mile(s). the slope of the line that runs through the points given in the table is . the slope indicates a .
The change in fuel and distance can be analyzed through the slope of the line in the table, which indicates the rate of fuel consumption per mile. A slope of 0.4 suggests that 0.4 gallons of fuel are being consumed for every mile traveled.
The change in fuel remaining from one row to the next in the table represents the difference in the amount of fuel used between those rows. This change is measured in gallons. For example, if the fuel remaining in one row is 10 gallons and in the next row it is 8 gallons, the change in fuel remaining would be 2 gallons.
Similarly, the change in distance from one row to the next in the table represents the difference in the distance traveled between those rows. This change is measured in miles. For instance, if the distance traveled in one row is 50 miles and in the next row it is 45 miles, the change in distance would be 5 miles.
The slope of the line that runs through the points given in the table represents the rate of change between the fuel remaining and the distance traveled. It is calculated by dividing the change in fuel by the change in distance. For example, if the change in fuel is 2 gallons and the change in distance is 5 miles, the slope would be 2/5 or 0.4.
The slope indicates the rate at which fuel is being consumed per mile. In this case, a slope of 0.4 means that for every mile traveled, 0.4 gallons of fuel are being used. This implies that the vehicle's fuel efficiency is 0.4 gallons per mile.
In conclusion, the change in fuel and distance can be analyzed through the slope of the line in the table, which indicates the rate of fuel consumption per mile. A slope of 0.4 suggests that 0.4 gallons of fuel are being consumed for every mile traveled.
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Examine the following graph, which contains two parabolas. P(x) is a parabola that opens downward with a vertex at (−2,6). It is the graph of the quadratic function P(x)=−12(x+2)2+6, and it represents the preimage for a transformation. I(x) is a parabola that opens downward with its vertex at (−7,2). It is the image of the transformation.
( The One Marked RED IS WRONG )
Answer:
I(x)=P(x+5)−4
Step-by-step explanation:
I have the same question as you and I believe we are in the same class
is Mr. David Barr your teacher?
If so cool!
The option that has or contains two parabolas is I(x)=P(x+5)−4. Learn more about the graph below.
What is a parabola graph?A parabola graph is known to be a kind of graph that shoes a U-shaped curve that is often drawn for any given quadratic function.
Note that in Mathematics, a parabola is said to be created as a result of the intersection of a right circular cone when passed by a plane surface and thus gives an symmetrical plane U-shaped curve.
Therefore, the The option that has or contains two parabolas is I(x)=P(x+5)−4.
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Prepare a frequency table of the following scores obtained by 40 students in a
test:
24,16,17,30,28,20,15,24,16,18,18,15,16,20,25,24,25,20,16,15,18,25,20,18,28,27
,25,24,24,18,18,25,20,16,25,20,27,28,28,16.
This contains 20 points please help me quick
Answer:
Element Frequency Cumulative Frequency
15 3 3
16 6 9
17 1 10
18 6 16
20 6 22
24 5 27
25 6 33
27 2 35
28 4 39
30 1 40
Step-by-step explanation:
Find out how many times an element(data value) appears. That will be the frequency(column 2). The cumulative frequency is the total of all frequencies prior to that element plus the current element frequency
Cumulative frequency for first element is same as its frequency
Cumulative frequency for element 16 is 3 + 6 = 9
Cumulative frequency for element 17 = 3 + 6 + 1 = 9 + 1=10. Basically it is the sum of the previous element cumulative frequency + the current frequency
PLEASE HELP! I need to get this right to boost my grade, and I'm having trouble understanding it but there's a deadline to turn it in. Could anyone help me?
Estimate the area of the irregular shape (don’t forget to show work). Explain your method.
I included a picture, I hope it helps.
Answer:
about 30 units
Step-by-step explanation:
the way my teacher taught me this was just counting all the squares that the irregular shape covers, whether or not it is fully encircled.
Two factory plants are making TV panels. Yesterday, Plant A produced 3000 fewer panels than Plant B did. Two percent of the panels from Plant A and 5% of the panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 570 defective panels?
Answer:
9000 panels
Step-by-step explanation:
See attached for detailed explanation.
Remember that percent means division by a 100.
Cody's heart beats 4,380 times per hour
when he is at rest. How many beats is
that per minute?
Answer:
Divide 4,380 by 60
4,380 ÷ 60 = 73
Step-by-step explanation:
(Q2) The set of line segments _____ meet the requirements to form a triangle.8 cm4 cm3 cm
To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.
We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.
In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.
In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.
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Calculate the area to the right of 0. 57 under the t-distribution with 17 degrees of freedom. Give your answer to 4 decimal places.
0.2889 is approximately the area to the right of 0.57 under the t-distribution with 17 degrees of freedom.
Using statistical software or a t-distribution table, we can find that the area to the left of 0.57 under the t-distribution with 17 degrees of freedom is approximately 0.7111.
To find the area to the right of 0.57, we need to subtract the area to the left of 0.57 from 1
Area to the right of 0.57 = 1 - 0.7111 = 0.2889
Rounding this to 4 decimal places gives us a final answer of 0.2889. Therefore, 0.2889 is approximately the area to the right of 0.57 under the t-distribution with 17 degrees of freedom.
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Susie fills up at a gas station where it costs $3.26 per gallon. She puts 20.5 gallons of gas in her vehicle.
She also buys a fountain drink for $1.19. How much does she spend at the gas station?
Answer:
she spend $68.02 at the gas station
Step-by-step explanation:
20.5 * $3.26 + $1.19 = $68.02
anyone know the answer to this??
Answer:
Yes i do the answer is C
Step-by-step explanation:
Have a good day:))))
You and your friend collect 90 cans. Your friend collects 50 cans. Let c be the number of cans you collect. Write an equation you can use to find c.
Answer:
I think C + 50 = 90
C = 90 - 50 = 40
what is the y intercept of the line given by the equation below
y=-10x+14
Answer:
(0, 14) is the y-intercept
Answer:
14 is the y-intercept
Step-by-step explanation:
10 would be the slope so that leaves 14 which is the y intercept
pick the choice that best completes the following sentence. if a relationship between two variables is called statistically significant, it means the investigators think the variables are select one: a. related in the population represented by the sample. b. not related in the population represented by the sample. c. related in the sample due to chance alone. d. very important.
If a relationship between two variables is called statistically significant, it means that the investigators think the variables are a. related in the population represented by the sample.
If a relationship between two variables is called statistically significant, it means that the investigators think the variables are related in the population represented by the sample. This means that the results of the study can be generalized to the larger population with a high degree of confidence.
Statistical significance refers to the likelihood that the results of a study are not due to chance. When researchers perform a statistical test, they calculate the probability that the observed relationship between the variables occurred by chance alone. If this probability is very low (usually less than 5%), then the results are considered statistically significant.
It's important to note that statistical significance does not necessarily mean that the relationship between the variables is strong or important. It simply means that the relationship is unlikely to be due to chance. Therefore, choice D ("very important") is not the correct answer. Choice B ("not related in the population represented by the sample") is also incorrect, as a statistically significant relationship indicates that the variables are related. Choice C ("related in the sample due to chance alone") is also incorrect, as statistical significance means that the relationship is not due to chance alone.
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Examine the following steps. Which do you think you might use to prove the identity Check all that apply. Write tan(x y) as sin (x y) over cos(x y). Use the sum identity for sine to rewrite the numerator. Use the sum identity for cosine to rewrite the denominator. Divide both numerator and denominator by cos(x)cos(y). Simplify fractions by dividing out common factors or using the tangent quotient identity.
The correct options according given identity of tangent are;
1) Write tan(x + y) as sin(x + y) over cos(x + y)
2) Use the sum identity for sine to rewrite the numerator
3) Use the sum identity for cosine to rewrite the denominator
4) Divide both the numerator and denominator by cos(x)·cos(y)
5) Simplify fractions by dividing out common factors or using the tangent quotient identity
According to the statement
we have given that the a identity and we have to use in the given conditions.
So, For this purpose, we know that the
Given that the required identity of Tangent is Tangent (x + y) = (tangent (x) + tangent (y))/(1 - tangent(x) × tangent (y)),
we have:
tan(x + y) = sin(x + y)/(cos(x + y))
sin(x + y)/(cos(x + y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y))
(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) - sin(x)·sin(y))/(cos(x)·cos(y))
(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) - sin(x)·sin(y))/(cos(x)·cos(y)) = (tan(x) + tan(y))(1 - tan(x)·tan(y)
∴ tan(x + y) = (tan(x) + tan(y))(1 - tan(x)·tan(y)
After solving this identity according to the statement it is clear that all the options are correct.
So, The correct options according given identity of tangent are;
1) Write tan(x + y) as sin(x + y) over cos(x + y)
2) Use the sum identity for sine to rewrite the numerator
3) Use the sum identity for cosine to rewrite the denominator
4) Divide both the numerator and denominator by cos(x)·cos(y)
5) Simplify fractions by dividing out common factors or using the tangent quotient identity
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Disclaimer: This question was incomplete. Please find the full content below.
Question:
Examine the following steps. Which do you think you might use to prove the identity Tangent (x) = StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction question mark
Check all that apply.
-Write tan(x + y) as sin (x + y) over cos(x +y).
-Use the sum identity for sine to rewrite the numerator.
-Use the sum identity for cosine to rewrite the denominator.
-Divide both numerator and denominator by cos(x)cos(y).
-Simplify fractions by dividing out common factors or using the tangent quotient identity.
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the rectangular prisms of 2 1/2ft,4ft and 4 3/4.Find the volume of prism.
Given:
The dimensions of the prism are given as,
\(\begin{gathered} l=4ft \\ b=2\frac{1}{2}=\frac{5}{2}ft \\ h=4\frac{3}{4}=\frac{19}{4}ft \end{gathered}\)The objective is to find the volume of the prism.
Explanation:
The general formula to find the volume of the prism is,
\(V=l\times b\times h\text{ . . . . . . (1)}\)To find volume:
On plugging the given values in equation (1),
\(\begin{gathered} V=4\times\frac{5}{2}\times\frac{19}{4} \\ =47.5ft^3 \end{gathered}\)Hence, the volume of the prism is 47.5 ft³.
Ken calculates that he spends 15% of a school day in science class. If he spends 75 minutes in science class, how
many minutes does Ken spend in school?
Answer:
500 minutes
Step-by-step explanation:
Let x be the time Ken spends in school. [I'll note that x < infinity, a common misperception.]
Kevin spends 15% of his school time in science class. That would be expressed as 0.15x.
We learn that Science class lasts 15 minutes, so we can write:
0.15x = 75 minutes
x = (75 minutes)/0.15
x = 500 minutes is the time Kevin spends in school
=================
(500 minutes)*(1 hr/60 minutes) = 8 1/3 hours
Find a polynomial which, when added to the polynomial 3x^2 +3x-1, is equivalent to the following expression. x+5
Answer:
3x^2 + 2x -6
Step-by-step explanation:
(3x^2 + 3x - 1) - (x+5) = 3x^2 + 2x -6
10.2.4:Using the bijection rule to count ternary strings whose digits sum to a multiple of 3. i About Let T={0,1,2}.A string x E T" is said to be balanced if the sum of the digits is an integer multiple of 3 (a) Show a bijection between the set of strings in T that are balanced and T.Explain why your function is a bijection (b) How many strings in T are balanced? Feedback?
There are 3 balanced strings in set T.
How many balanced strings are in set T?To count the number of balanced strings in the set T={0, 1, 2}, we can establish a bijection between the set of balanced strings and T itself. A balanced string is defined as a string in which the sum of its digits is a multiple of 3.
We can define a function f: T" -> T that maps each string in T" to T by preserving the balanced property. If a string in T" is already balanced, f returns the string itself. If the string is not balanced, f replaces the last digit with digit that makes the sum a multiple of 3.
By showing that this function is both injective (one-to-one) and surjective (onto), we establish a bijection. The bijection rule states that if two sets have a bijection between them, they have the same cardinality. Therefore, the number of balanced strings is equal to the number of elements in T, which is 3.
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the box plot shows the heights of sunflower plants which sunflower field has plants with more consistent heights
To determine which sunflower field has plants with more consistent heights, we need to look at the variability in the heights of the plants in each field as shown in the box plot.
The more consistent the heights, the smaller the range and the less spread out the box plot will be. So, we should look for the field with the smallest range and the narrowest box plot. This indicates that the majority of the plants in that field have similar heights.
Therefore, we need to compare the box plots or IQRs of the different sunflower fields to determine which field has plants with more consistent heights. please follow these steps:
1. Look for the Interquartile Range (IQR) of each sunflower field. IQR is the range within which the middle 50% of the data lies. In a box plot, it is represented by the width of the box, which is the distance between the first quartile (Q1) and the third quartile (Q3).
2. Compare the IQRs of the sunflower fields. The field with the smaller IQR has plants with more consistent heights, as it indicates that the middle 50% of the plant heights are closer together.
In summary, check the box plots of the sunflower fields for their IQRs, and the field with the smaller IQR has more consistent plant heights.
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Answer: Field A typically has plants with more consistent heights. You can tell because the IQR of its samples is less than that of the other field.
Step-by-step explanation:
I just took the test on Iready, trust me.
What equations has the steepest graph?
An equation with the steepest graph has the largest absolute value of slope.
The equation with the steepest graph is the equation with the largest absolute value of slope.
A slope is a measure of how steep a line is.
If a line has a positive slope, it is rising to the right.
If a line has a negative slope, it is falling to the right.
If the slope of a line is zero, the line is horizontal.
To multiply the square root of 2 + i and its conjugate, you can use the complex multiplication formula.
(a + bi)(a - bi) = \(a^2 - abi + abi - b^2i^2\)
where the number is √2 + i. Let's do a multiplication with this:
(√2 + i)(√2 - i)
Using the above formula we get:
\((\sqrt{2})^2 - (\sqrt{2})(i ) + (\sqrt{2} )(i) - (i)^2\)
Further simplification:
2 - (√2)(i) + (√2)(i) - (- 1)
Combining similar terms:
2 + 1
results in 3. So (√2 + i)(√2 - i) is 3.
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Find the slope of the line
Answer:
2 or 2/1
Step-by-step explanation:
First we put -"3y" to the other side of the equation to get
3y=6x+6
Now divide everything by 3 to get "y" by itself.
y=2x+2
The slope is 2 or 2/1
Answer:
b.2
Step-by-step explanation:
6x-3y+6=0
-3y=-6x-6 divide both sides by -3
y=2x+2
The table shows the relationship between the number of calories Darrell Burns while kayaking and the number of minutes he kayaks
How many calories will Darrell burn in 1 minute while kayaking? Please I need help :(
The number of calories that Darrell will burn in 1 minute while kayaking is given as follows:
4 calories.
How to obtain the number of calories?The number of calories that Darrell will burn in 1 minute while kayaking is obtained applying the proportions in the context of the problem.
For each input-output pair in the table, the constant of proportionality is of 4, hence the number of calories that Darrell will burn in 1 minute while kayaking is given as follows:
4 calories.
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someone help please
Answer:
b
Step-by-step explanation:
102.4..... you're right
Answer:
the answer is 102.4
Step-by-step explanation:
A torus is formed when a circle of radius 3 centered at (8,0) is revolved about the y-axis a. Use the shell method to write an integral for the volume of the ton b. Use the washer method to write an integral for the volume of the torus e. Find the volume of the torus by evaluating one of the two integrats obtained in parts (a) and (). (Hint: Both integrals can be evaluated without using the Fundamental Theorems of Cabulas) a. Set up the integral that gives the volume of the torus using the shell method. Select the correct choice below and 58 in the answer boxes to complete your choice (Type exact answers) OA de 3 OF SO b. Set up the integral that gives the volume of the torus using the washer method Select the correct choice below and fill in the answer boxes to complete your choice. (Type exact answers) OAS d OB dy Time Remaining: 02:00:09 Next A torus is formed when a circle of radius 3 centered at (6,0) is revolved about the y-axis. a. Use the shell method to write an integral for the volume of the torus b. Use the washer method to write an integral for the volume of the torus. c. Find the volume of the torus by evaluating one of the two integrals obtained in parts (a) and (b). (Hint: Both integrals can be evaluated without using the Fundamental Theorem of Calculus.) у У 9- 3 X a. Set up the integral that gives the volume of the torus using the shell method. Select the correct choice below and fill in the answer boxes to complete your choice. (Type exact answers.) OAS OB. dy b. Set up the integral that gives the volume of the torus using the washer method. Select the correct choice below and fill in the answer boxes to complete your choice. (Type exact answers.) OAS dx 3 OB. dy The volume of the torus is approximately cubic units. (Round to two decimal places as needed.)
a) To find the volume of the torus using the shell method, the integral can be set up as ∫2πy(2πr)dy.
b) To find the volume of the torus using the washer method, the integral can be set up as ∫π(R²-r²)dx.
c) The volume of the torus can be found by evaluating one of the two integrals obtained in parts (a) and (b).
a) The shell method involves considering cylindrical shells with height dy and radius y. Since the torus is formed by revolving a circle of radius 3 centered at (8,0) about the y-axis, the radius of each shell is y and the height is 2πr, where r is the distance from the y-axis to the circle. Therefore, the integral to find the volume of the torus using the shell method is ∫2πy(2πr)dy.
b) The washer method involves considering infinitesimally thin washers with inner radius r and outer radius R. In the case of the torus, the inner radius is the distance from the y-axis to the circle, which is y, and the outer radius is the radius of the circle, which is 3. Therefore, the integral to find the volume of the torus using the washer method is ∫π(R²-r²)dx.
c) To find the volume of the torus, one of the two integrals obtained in parts (a) and (b) can be evaluated. The specific integral to evaluate depends on the chosen method (shell or washer). By substituting the appropriate values into the integral and evaluating it, the volume of the torus can be calculated.
Note: The specific calculations to find the volume of the torus and the corresponding numerical result were not provided in the question, so the final answer in cubic units cannot be determined without further information.
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Which equation is equivalent to y−3=4(x−5)?
y=4x−2y is equal to 4 x minus 2
y=−4x−23y is equal to negative 4 x minus 23
y=4x−17y is equal to 4 x minus 17
y=−17x+4
Answer:
y = 4x - 17
Step-by-step explanation:
y - 3 = 4(x - 5) ← distribute parenthesis by 4
y - 3 = 4x - 20 ( add 3 to both sides )
y = 4x - 17
Please help for both questions
Answer:
B, A
Step-by-step explanation:
In the first equation, if an unknown number plus 17 equals 66, then what step would you take?
For example, if an unknown number plus 2 equaled 3, then you would know that number is 1, right? What steps did you take to get that? You subtracted 2 from both sides.
In this example, if x + 17 = 66, then subtracting 17 from both sides gets us x = 49.
The same applies for the second example. If x minus 54 equals 125, then you would add 54 to get x = 179.
Joan wants to make a dinner plan for next week. how many different arrangements are there for the 7 days?
Answer:
5040
Step-by-step explanation:
an illustration of permutations
The given parameter is:
number of days
dinners for 7 days
Substitute known values
How many cubic centimetres of iron are there in an open box whose external dimensions are 36 cm, 25 cm and 16 cm, the iron being 2 cm thick throughout? If 1 cubic cm of iron weighs 15 g. find the weight of the open box in kg
What is the perimeter of a quadrilateral with measurements of 19 ft, 10 ft, 17 ft, and 8 ft?
I need help
Answer:
54ft
Step-by-step explanation:
To find perimeter the formula is A + B + C + D
So, 19 + 10 + 17 + 8 = 54ft