Answers
slope is 3.5
x = 0, y = 0
x = 1, y = 3.5
x = 2, y = 7
x = 4, y = 10
Answer: the answer is c
Step-by-step explanat
Related Questions
What is the output of the function f(p) = 3p – 2 when the input is 2?
Answers
f(2) = 3×2 -2
f(2) = 6 -2 = 4
The output of the function is 4 when the input is 2.
he actual weights of 10 sample “1 lb packages” of meat are found to be: sample 1 2 3 4 5 6 7 8 9 10 weight 1.01 1.03 0.98 0.99 1.01 1.02 0.98 1.05 0.97 0.98 What is the mean of the actual weights?
Answers
1.01+1.03+.98+.99+1.01+1.02+.98+1.05+.97+.98
10.02
Now divide by 10 (the amount of samples)
10.02/10
1.002
The Mean of the Data Set is 1.002
Hope this helps!
10.02 / 10= 1.002
Answer: 1.002
A pattern on a quilt is made up of pieces of fabric in the shape of parallelograms. One piece of fabric is shown. What is the area of one piece of fabric? Enter your answer in the box.
Answers
A = (1/2) * (b) * (h)
Where,
b: base of the parallelogram
h: height of the parallelogram
Substituting values we have:
A = (1/2) * (3.1 + 3.3) * (4.1)
A = 13.12 cm ^ 2
Answer:
The area of one piece of fabric is:
A = 13.12 cm ^ 2
in a class of 32 students 11 are men what fraction of the students are men
Answers
Happy to help! :)
11 - men 32 - students
So, 11/32 is the fraction.
The answer couldn't be simplified because 11 is a prime number.
You are traveling to Chicago for a job interview. You leave Toledo, Ohio, at 5:45 A.M. and arrive in Elkhart, Indiana, at 8:15 A.M.. The distance from Toledo to Elkhart is 136 miles; the distance from Toledo to Chicago is 244 miles. The speed limit is 65 mph. What is the minimum speed you must maintain in order to arrive in Chicago before 10:30 A.M.
Answers
Time taken from Toledo to Elkhart=(8.15-5.45)=2 1/2 hours
Distance=136 miles
thus the speed between Toledo and Elkhart= 136 miles/2.5=54.4 mph
Distance between Toledo and Chicago is 244 miles
Distance between Elkhart and Chicago=244-136=108 miles
time taken to travel between Elkhart and Chicago assuming that I left Elkhart at exactly 8:15 and reach at 10.30:
=10:30-8:15=2.25 hours
thus the speed will be:
speed=(108)/(2.25)=48 mph
Thus for us to get to Chicago by 10:30 a.m we should drive at 48 mph
Quan Le needs $203 to pay for the cost of an evening class. He has $37 and plans to borrow the rest from his brother. Round each amount to determine about how much he needs to borrow? Check your answer using the inverse operation.
Answers
Total amount needed = $203. Wen rounded, this will give us $200
Amount Quan has = $37. When rounded, this will give us $40
Now, we will get the amount that he needs to borrow as follows:
amount that he needs to borrow = 200 - 40 = $160
2- Inverse operation checking:
This means that we will work the problem frown bottom to up.
Quin has $40 (rounded) and he borrows $160 (rounded). This means that:
Total amount he has = 40 + 160 = $200 (the rounded amount needed)
Hope this helps :)
If f(x)=4x-6 and g(x) =2x find f(x) •g(x)
Answers
(2x)4x - (2x)6 = 8x² - 12x
Final answer: 8x² - 12x
Hope this helps.
f(x) = 4x - 6
g(x) = 2x
Using the values, we can write:
f(x) · g(x) = (4x - 6)(2x)
= 8x² - 12x
Thus, the answer is 8x² - 12x
Is writing an equation this way ( 4 x 5 )-9-6 correct? If not why?
Answers
which equation is shown in the graph?
y = [[x]]
y = [[x + 3]]
y = [[x]] - 3
y = |x - 3|
Answers
a floor() function, namely ⌊x⌋ like that, will floor the decimal values, so ⌊2.5⌋ floors to 2, because 2.5 is between 2 and 3, and the smallest is 2, the "floor", the 3 will be the "ceiling".
so for a floor function, ⌊1.5⌋ is 1, 1.5 is between 1 and 2, 1 is the smallest, ⌊-3.5⌋ is -4, recall that on the negative side, the closer to 0, the larger, so -1 is much larger than -1000.
and say ⌊-1.35⌋ is -2, -1.35 is between -2 an -1 and -2 is the smallest, the "floor".
that said
x = 2.5 ⌊ 2.5 + 3⌋ is ⌊5.5⌋ which is 5
x = 1.5 ⌊ 1.5 + 3 ⌋ is ⌊4.5⌋ which is 4
x = -2.749 ⌊ -2.749 + 3⌋ is ⌊0.251⌋ which is 0
anyway and so on, so you can pretty much see is the floor function of ⌊ x + 3⌋.
These tables of values represent continuous functions. In which table do the values represent an exponential function?
A.
x y
1 3
2 6
3 9
4 12
5 15
B.
x y
1 2
2 6
3 18
4 54
5 162
C.
x y
1 10
2 22
3 34
4 46
5 58
D.
x y
1 7
2 8
3 9
4 10
5 11
Answers
Answer:
The correct option is B.
Step-by-step explanation:
A function is called an exponential function if it has common ratio.
A function is called an linear function if it has common difference.
In option A.
[tex]\frac{f(2)}{f(1)}=\frac{6}{3}=2[/tex]
[tex]\frac{f(3)}{f(2)}=\frac{9}{6}=\frac{3}{2}[/tex]
[tex]2\neq \frac{3}{2}[/tex]
Since the given table has different ratio, therefore it is not an exponential function. Option A is incorrect.
In option B.
[tex]\frac{f(2)}{f(1)}=\frac{6}{2}=3[/tex]
[tex]\frac{f(3)}{f(2)}=\frac{18}{6}=3[/tex]
[tex]3=3[/tex]
Since the given table has common ratio, therefore it is an exponential function. Option B is correct.
In option C.
[tex]\frac{f(2)}{f(1)}=\frac{22}{10}=\frac{11}{5}[/tex]
[tex]\frac{f(3)}{f(2)}=\frac{34}{22}=\frac{17}{11}[/tex]
[tex]\frac{11}{5}\neq \frac{17}{11}[/tex]
Since the given table has different ratio, therefore it is not an exponential function. Option C is incorrect.
In option D.
[tex]\frac{f(2)}{f(1)}=\frac{8}{7}[/tex]
[tex]\frac{f(3)}{f(2)}=\frac{9}{8}[/tex]
[tex]\frac{8}{7}\neq \frac{9}{8}[/tex]
Since the given table has different ratio, therefore it is not an exponential function. Option D is incorrect.
Answer:
Table B represents an exponential function.
Step-by-step explanation:
An exponential function is a function which has common ratio. Using this fact we will evaluate the functions given in the form of a table.
Table A.
f(1) = 3
f(2) = 6
f(3) = 9
Now [tex]\frac{f(2)}{f(1)}=\frac{6}{3}=\frac{2}{1}[/tex]
[tex]\frac{f(3)}{f(2)}=\frac{9}{6}=\frac{3}{2}[/tex]
Ratios are not equal so it's not an exponential function.
Table B.
f(1) = 2
f(2) = 6
f(3) = 18
[tex]\frac{f(2)}{f(1)}=\frac{6}{2}=\frac{3}{1}[/tex]
[tex]\frac{f(3)}{f(2)}=\frac{18}{6}=\frac{3}{1}[/tex]
Here ratios are same therefore it's an exponential function.
Table C.
f(1) = 10
f(2) = 22
f(3) = 34
[tex]\frac{f(2)}{f(1)}=\frac{22}{10}=\frac{11}{5}[/tex]
[tex]\frac{f(3)}{f(2)}=\frac{34}{22}=\frac{17}{11}[/tex]
Ratios are not equal therefore it's not an exponential function.
Table D.
f(1) = 7
f(2) = 8
f(3) = 9
[tex]\frac{f(2)}{f(1)}=\frac{8}{7}[/tex]
[tex]\frac{f(3)}{f(2)}=\frac{9}{8}[/tex]
Ratios are not equal so it's not an exponential function.
Therefore Table B is the correct option.
Suppose the number of calls per hour to an answering service follows a poisson process with rate 4.
a.what is the probability that fewer than 2 calls came in the first hour?
Answers
[tex]P(k,\lambda)=\lambda^k*e^(-\lambda)/k![/tex]
for λ = 4, and k<2 (i.e. k=0 or 1)
P(k<2, λ )=P(k=1, λ ) + P(k=1, λ )
[tex]=4^0*e^(-4)/4!+4^1*e^(-4)/1![/tex]
[tex]=4^0*e^(-4)/4!+4^1*e^(-4)/1![/tex]
=0.01832+0.07326
=0.09158 (to the fifth place of decimal)
Note: Poisson processes have no memory, so 2 calls in first hour has the same probability as 2 calls in any other hour.
Consider the following sets: R = {x | x is the set of rectangles} P = {x | x is the set of parallelograms} T = {x | x is the set of triangles} I = {x | x is the set of isosceles triangles} E = {x | x is the set of equilateral triangles} S = {x | x is the set of scalene triangles} Which statements are correct? Check all that apply. T is a subset of P. E is a subset of I. S is a subset of T. I ⊂ E T ⊂ E R ⊂ P
Answers
Not true since triangle has three sides but parallelogram has four sides.
"E is a subset of I"
True since equilateral triangles are isosceles triangles with all angles equal.
"S is a subset of T"
True since scalene triangles are still triangle.
"I ⊂ E"
False since there are isosceles triangles those are not equilateral triangles. Namely triangle with angles 20°, 20°, 140°
"T ⊂ E"
False since not all triangles are equilateral. Scalene triangle is one of counterexamples.
"R ⊂ P"
True since rectangles are parallelograms with right angles.
Final answer: E is a subset of I, S is a subset of T, and R ⊂ P.
Hope this helps.
Answer:
The answers are 2, 3, 6
Step-by-step explanation:
since (3/4)^2=3/4•3/4=9/16 what is the value of 2/5^2
Answers
which of the following statements is false?
A. 2 is greater than or equal to 8
B. 2 is less than or equal to 8
c. 8 is less than or equal to 8
Answers
Make a box and whisker plot that represents the data
Number of chairs in a classroom
30,27,32,25,12,22,20,29,35,35,28
Answers
30,27,32,25,12,22,20,29,35,35,28
rearranging it gives us:
12,20,22,25, 27,28,29,30,32,35,35
lowest value is 12
highest value is 35
median=28
lower quartile 23.5
Upper quartile 31
thus the boxplot will be:
You have a box of chocolates that contains 59 pieces of which 37 are solid chocolate, 15 are filled with cashews, and 7 are filled with cherries. All the candies look exactly alike. You select a piece, eat it, select a second piece, eat it, and finally eat one last piece. Find the probability of selecting a solid chocolate piece followed by two cherry-filled chocolates. Round your answer to three decimal places.
Answers
The probability of selecting a solid chocolate piece followed by two cherry-filled chocolates in sequence is approximately 0.00407.
The question asks for the probability of selecting a solid chocolate piece followed by two cherry-filled chocolates. There are 59 pieces total in the box, with 37 solid chocolates, 15 filled with cashews, and 7 filled with cherries. To calculate the probability, we use the concept of dependent events since each chocolate is eaten before selecting the next, which changes the total number of chocolates available. The probability of choosing a solid chocolate first is 37/59. After eating it, there are 58 pieces left and still 7 cherry-filled chocolates, so the probability of then picking a cherry-filled chocolate is 7/58. Then there would be 57 pieces left and 6 cherry-filled chocolates, so the probability of finally picking a cherry-filled chocolate would be 6/57. To find the total probability of all events happening in sequence, we multiply the individual probabilities together:
Probability = (37/59) * (7/58) *(6/57)
Calculating this gives us the probability, to three decimal places:
Probability = 0.00407
for a bake sale violet wants to use the recipe at the right. If she wants to double the recipe, how much flour will she need
Answers
kaitlin is participating in a 5-day cross country biking challenge. She biked for 55,67,56,and 49 miles on the first four days. How many miles does she need to bike on the last day so that her average (mean) is 55 miles per day?
Answers
To find out how many miles Kaitlin needs to bike on the last day to average 55 miles per day over a 5-day biking challenge, we calculate the total intended miles (55*5 = 275 miles) and subtract the total miles already biked (275 - (55+67+56+49) = 48 miles). Therefore, Kaitlin needs to bike 48 miles on the last day.
Explanation:In the content-loaded problem, Kaitlin is participating in a 5-day cross country biking challenge. She's has already completed biking for four days with distances of 55, 67, 56, and 49 miles respectively. To find out how many miles she needs to bike on the last day for her to average 55 miles per day, we first need to find the total miles she should cover in 5 days.
The total miles intended to be covered in 5 days should be 55 miles/day * 5 days = 275 miles
Then we subtract the total miles covered in the first four days from this. So, 275 miles - (55 miles + 67 miles + 56 miles + 49 miles) = 48 miles
So, Kaitlin needs to bike 48 miles on the last day to achieve an average of 55 miles per day.
Learn more about Mean Calculation here:https://brainly.com/question/32703211
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*. suppose that there are 5 dollar bills in a box: three 1 dollar bills, one 5 dollar bill and one 10 dollar bill. you are allowed to pick up two bills at the same time from the box randomly. let x denote the money you get from this game. (a) what's the p.m.f. of x?
Answers
The pmf of x is 4
To determine the probability mass function (PMF) for the game, one must calculate the probability of each possible sum of money resulting from drawing two bills, with the outcomes being 2, 6, 11, and 15 dollars.
To find the probability mass function (PMF) of the variable X, which represents the money you get from the game, we first identify all possible pairs of dollar bills you could draw from the box and then calculate the probability of drawing each pair. As there are three 1 dollar bills, one 5 dollar bill, and one 10 dollar bill, the possible sums of money (X) we can get by drawing two bills are 2 dollars, 6 dollars, 11 dollars, and 15 dollars.
To calculate the PMF of X, consider:
Picking two 1 dollar bills: The probability is C(3,2)/C(5,2) = 3/10.
Picking one 1 dollar bill and the 5 dollar bill: The probability is (C(3,1) imes C(1,1))/C(5,2) = 3/10.
Picking one 1 dollar bill and the 10 dollar bill: The probability is (C(3,1) imes C(1,1))/C(5,2) = 3/10.
Picking the 5 dollar bill and the 10 dollar bill: The probability is (C(1,1) imes C(1,1))/C(5,2) = 1/10
Therefore, the PMF of X is:
P(X = 2) = 3/10
P(X = 6) = 3/10
P(X = 11) = 3/10
P(X = 15) = 1/10
The median number of business trips for 6 employees in a certain quarter is 10. The range of number of business trips for those employees that quarter is 9. The fewest business trips could be 0. True, false, or not enough information?
Answers
Answer:
False
Step-by-step explanation:
You want to know if it is true that the fewest number of business trips could be zero if the median of 6 values is 10 and their range is 9.
MedianThe median of 6 numbers is the average of the middle two when they are sorted into increasing order. That means the smallest number that can be the upper end of the range is 10. (In that case, 4 of the 6 values would be 10.)
Since the lower end of the range is 9 less than the upper end, the fewest number of business trips cannot be less than 10-9 = 1.
It is False that the fewest number could be 0.
__
Additional comment
The numbers of trips could be ...
1, 1, 10, 10, 10, 10
This 6-element data set has a median of 10 and a range of 9.
Farmer Ed has 8500 meters of fencing and wants to enclose a rectangular plot that borders on a river. If farmer Ed does not fence the side along the river, what is the largest are that can be enclosed?
Width = 2x
Length = 8,500-2x
Answers
Area (A) = xy m^2
If the side bordering the river is x, then
Circumference (C) = 8500 = x+2y => x = 8500-2y
Substituting for w in the equation for A;
A = (8500-2y)y = 8500y -2y^2
For maximum area, derivative of A with respect to y is 0. That is;
dA/dy = 0 = 8500 -4y => 4y = 8500 => y = 8500/4 = 2125 m
And, x = 8500-2y = 8500 -2*2125 = 4250 m
Therefore,
One side = 4,250 m and second side = 2,125 m.
Largest area, A = 4250*2125 = 9,031,250 m^2
hey can you please help me posted picture of question
Answers
f (x) = 4x ^ 2 - 16
Horizontal translations
Suppose that h> 0
To graph y = f (x-h), move the graph of h units to the right.
We have then:
f (x) = 4 (x-5) ^ 2 - 16
Then,
Vertical translations
Suppose that k> 0
To graph y = f (x) -k, move the graph of k units down.
We have then:
f (x) = 4 (x-5) ^ 2 - 16 - 2
f (x) = 4 (x-5) ^ 2 - 18
Answer:
f (x) = 4 (x-5) ^ 2 - 18
option C
5 units to right means subtracting 5 from the value of x. So the function will be:
4(x-5)² - 16
2 units down means subtracting 2 from the entire function.
So, the expression will be
4(x-5)² - 16 - 2
=4(x-5)² - 18
The above expression gives the equation after both the given translations have been applied.
So, the correct answer is option C
Given that (-3,7) is on the graph of f(x), find the corresponding point for the function f(x + 5).
Answers
(-3,7) is on the graph of f(x), find the corresponding point for the function
f(x + 5)
we know that
in the transformation f(x)-------> f(x+5)
the point (x.y) in f(x) becomes a point (x-5,y) in f(x+5)
so
(-3,7)-----------> becomes a point (-3-5,7)------> (-8,7)
the answer is
(-8,7)
Answer: (-8,7)
Step-by-step explanation: It;s right
Hey can you please help me posted picture of question
Answers
6 x 6 x 6 x 6 x 6 = 7776 different outcomes
Number of outcomes when n dice are rolled = 6^n which is 6 raised to the power n.
So, the number of outcomes when 5 dice are rolled = 6⁵ = 7776
Thus, when 5 dice are rolled there will be 7776 possible outcomes.
So, option A is the correct answer
What position in the distribution corresponds to a z-score of z = +2.00?
Answers
A z-score of +200 corresponds to a position that is 2 standard deviations above the mean, and signifies a value within the top 2.5% of a normally distributed data set.
The z-score of z = +2.00 in a distribution indicates that the corresponding value is exactly 2 standard deviations above the mean of the distribution. According to the empirical rule (also known as the 68-95-99.7 rule), approximately 95% of the data falls within two standard deviations of the mean. Therefore, a z-score of +2.00 means the position is within the top 2.5% of the distribution, since it is above the mean and within 95% coverage of the data towards the higher end. This concept is fundamental when assessing data in relation to the normal distribution, and it's widely used to determine how far a particular data point is from the average value in terms of standard deviations.
witch of the following expression is equivalent to the logarithmic expression below. log(3)5/x^2
A)log(3) 5+2 log(3)x
B)log(3) 5-2 log(3)x
C)2 log(3) 5-log(3)x
D)log(3) 5+log(3)x
Answers
[tex]log_{3}(\frac{5}{x^2})[/tex]
remember that [tex]log(\frac{a}{b})=log(a)-log(b)[/tex]
also, [tex]log(x^m)=(m)log(x)[/tex]
so
[tex]log_{3}(\frac{5}{x^2})=[/tex]
[tex]log_{3}(5)-log_{3}(x^2)=[/tex]
[tex]log_{3}(5)-2log{3}(x)[/tex]
the answer is B
Answer: The correct option is
(B) [tex]\log_35-2\log_3x.[/tex]
Step-by-step explanation: We are given to select the expression that is equivalent to the following logarithmic expression :
[tex]E=\log_3\dfrac{5}{x^2}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using the following properties of logarithms :
[tex](i)~\log_a\dfrac{b}{c}=\log_ab-\log_ac,\\\\(ii)~\log_ab^c=c\log_ab.[/tex]
From (i), we get
[tex]E\\\\=\log_3\dfrac{5}{x^2}\\\\\\=\log_35-\log_3x^2~~~~~~~~~~~~~~~~~~~~[\textup{Using property (i)}]\\\\\\=\log_35-2\log_3x.~~~~~~~~~~~~~~~~~~~~[\textup{Using property (ii)}][/tex]
Thus, the required equivalent expression is [tex]\log_35-2\log_3x.[/tex]
Option (B) is CORRECT.
Where is the second derivative of y = 4xex equal to 0?
Answers
Final answer:
The second derivative of the function y = 4x[tex]e^x[/tex] is equal to zero when x = -2. This is determined by differentiating the function twice, setting the second derivative equal to zero, and then solving for x.
Explanation:
The question is asking for the value of x at which the second derivative of the function y = 4xex is equal to zero. To solve this, we first find the first derivative, which is y'(x) = 4ex + 4x[tex]e^x[/tex] (applying the product rule). Next, we find the second derivative, y''(x) = 4[tex]e^x[/tex] + 4[tex]e^x[/tex] + 4x[tex]e^x[/tex], which simplifies to y''(x) = 8[tex]e^x[/tex] + 4x[tex]e^x[/tex]. Setting this equal to zero to solve for x:
0 = 8[tex]e^x[/tex] + 4x[tex]e^x[/tex]
We factor out ex:
0 = [tex]e^x[/tex](8 + 4x)
The exponential function ex is never zero, so we set the remaining factor equal to zero:
0 = 8 + 4x
By solving for x, we find:
x = -2
Therefore, the second derivative of the function y = 4x[tex]e^x[/tex] is equal to zero when x = -2.
A researcher published this survey result: "74% of people would be willing to spend 10% more for energy from a non-polluting source". The survey was conducted by posing the question on a national radio show and asking listeners to call in. 1,200 listeners responded. What is wrong with this survey?
correlation and causality
voluntary response
nonresponse
precise numbers
Answers
Please help soon:)
Select the graph of the equation below.
y=3/2x^2 + 4x - 2
Answers
You can put in numbers to find which is the graph
3/2(-2)^2 + 4(-2) - 2 = -4
Now you look for the graphs that have the point (-2, -4)
Only one graph has this which is graph 2
The answer is the second graph
Hope this helps!
hello can you please help me posted picture of question
Answers
[tex]( \frac{-b}{2a},y( \frac{-b}{2a})) [/tex]
b = coefficient of x term = -4
a = coefficient of squared term = 1
So,
[tex] \frac{-b}{2a}= \frac{4}{2}=2 [/tex]
and
[tex]y(2)=(2)^{2}-4(2)+1=-3 [/tex]
Therefore, the vertex occurs at (2, -3)
Thus the correct answer is option D