Answer:
6
Step-by-step explanation:
\(g(9) = 9 - 2 = 7\\f(9) = -2(9) + 19 = -18 + 19 = 1\\g(9) - f(9) = 7 - 1 = 6\)
Find the probability of randomly choosing an ace or a club from a standard deck of cards. Remember that a standard deck consists of
52 cards, where each card is made up of a number or letter from {2, 3,4, 5, 6, 7, 8, 9, 10, J, Q, K, A} and a suit from {clubs, diamonds, hearts, spades
Answer: The probability of choosing an ace or a club is 16.
Step-by-step explanation:
Vector v = (2,1). What operation has been performed on v to result in the vector that is shown?
The operation that has been performed on v to result in the vector that is shown is multiplication by -1.
How to explain the vectorThe vector that is shown is (-2, -1). This can be obtained from vector v = (2, 1) by multiplying it by -1. Multiplying a vector by a negative number reverses its direction.
Multiplication of a vector by a number is performed component-wise. This means that each component of the vector is multiplied by the number. In the case of (-1) * (2, 1), each component is multiplied by -1. This results in the vector (-2, -1).
Here is the mathematical equation:
(-1) * (2, 1) = (-2, -1)
Therefore, the operation that has been performed on v to result in the vector that is shown is multiplication by -1.
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Q1. The daily spending of 5 customers in PKR on Product X and Product Y is as under: Customer X Y 1 20 40 2 80 20 3 90 30 4 10 50 5 85 10 Plot a scatter chart. Take Product X on x-axis and Product Y on y-axis. Develop a distance matrix using Euclidian Distance. Do Hierarchical clustering using single, complete and average linkage method. Make dendrogram and final scatter charts showing clusters for all three methods.
Answer:
the answer is y=x2
Step-by-step explanation:
because we added the numbers and we put x in another side so we divided all of them we got 2 so then mathematically it is y-x so then we see 120 we cancel with 40 so nine degree is 2 again,
The daily spending of the 5 consumers is PKR on the product X and Y and is under the customer X, and Y. By plotting the chart we can develop distance matrix using the Euclidian distance.
The option y=x2 is correct, we added the numbers and we put x in another side so we divided all of them we got 2 Hence mathematically it is y-x so then we see 120 we cancel with the 40 so 9 degree is 2 again.Learn more about the Product X and Product Y is as under.
brainly.com/question/16944093.
write an explicit formula for an, the nth term of the sequence 39,31,23
Answer:
a_n = 47 - 8n
Step-by-step explanation:
a_1 = 39
a_2 = 31
a_3 = 23
31 - 39 = -8
23 - 31 = -8
This is an arithmetic sequence with constant difference -8.
a_1 = 39
a_2 = 39 - 8
a_3 = 39 - 8 - 8 = 39 - 2(8)
a_4 = 39 - 8 - 8 - 8 = 39 - 3(8)
...
a_n = 39 - (n - 1)(8)
a_n = 39 - 8(n - 1)
a_n = 39 - 8n + 8
a_n = 47 - 8n
Answer:
\(a_n=47-8n\)
Step-by-step explanation:
Given sequence:
39, 31, 23, ...Calculate the differences between the terms:
\(39 \underset{-8}{\longrightarrow} 31 \underset{-8}{\longrightarrow} 23\)
As the differences are constant (the same), this is an arithmetic sequence with:
First term (a) = 39Common difference (d) = -8\(\boxed{\begin{minipage}{8 cm}\underline{General form of an arithmetic sequence}\\\\$a_n=a+(n-1)d$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term.\\\phantom{ww}$\bullet$ $d$ is the common difference between terms.\\\end{minipage}}\)
Substitute the found values of a and d into the formula to create an equation for the nth term of the sequence:
\(\implies a_n=39+(n-1)(-8)\)
\(\implies a_n=39-8n+8\)
\(\implies a_n=47-8n\)
HELP!!!? PLS ASP!!!!!!!
Answer:
A
Step-by-step explanation:
12x12 = 144 per side
144x6 sides = 864
Answer:864
Step-by-step explanation:
100 Points! Algebra question. Graph the function. State the domain, range, vertical asymptote, and horizontal asymptote. Photo attached. Thank you!
The domain and range of the function f ( x ) is
a) Domain : x > -1 or x < -1
b) Range : f ( x ) < -5 or f ( x ) > -5
c) Vertical Asymptote : x = -1
d) Horizontal Asymptote : y = -5
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 1/ ( x + 1 ) - 5
On simplifying , we get
vertical asymptote is when x = -1 and the horizontal asymptote is when y = -5
Now , the domain and range of the function is
x > -1 or x < -1 ( function undefined at x = -1 )
Now , range is f ( x ) < -5 or f ( x ) > -5
Hence , the domain and range are solved
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44. Dana attends a 90-minute dance class one day each week. Last week, she practiced
the following dances during class.
30 minutes on ballet
40 minutes on tap
20 minutes on jazz
Which display of data is most appropriate to show how Dana spent her practice
time in dance class last week?
A line plot
B circle graph
C
line graph
D tally chart
Answer:
B circle graph
Step-by-step explanation:
circle graph or pie chart is the best representation since bar chart is not present
2/5 help me pls hiougfyxydtr6gdxfg
Answer:
0.4
Step-by-step explanation:
Divide 2 by 5 you'll get 0.4
Helppp pls ASAP, I need to know what the y intercept is?!?!
Answer:
-1
Step-by-step explanation:
Y-intercept is the point in a graph where its (0,?). In your graph one box down is where that point is.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Determine the perimeter of the figure diagrammed below.
The perimeter of the figure is 28+4√13meter sq.
What is a triangle?In geometry, a triangle is defined as the shape which has three sides and also has three angles. We can say that a triangle is a type of polygon with three sides and three vertex.
Some important formula of triangles are:
Area of triangle = 1/2 . base .heightPerimeter = sum of sidesNumber of vertices = 3Number of edges = 3What is a Rectangle ?In geometry, a rectangle is defined as the shape which has four sides and also has four angles. We can say that a rectangle is a type of polygon with four sides and four vertex.
Some important formula of triangles are:
Area of rectangle = length . breadthperimeter = 2(length + breadth)Number of vertices = 4Number of edges = 4In the given figure ,
the total perimeter is the perimeter of triangle formed and the perimeter of rectangle formed in the figure.
side of triangle= 2√13
now adding all the sides,
perimeter = 8m + 10m+10m+2√13m+2√13m = 28+4√13
Hence total perimeter = 28+4√13 meter sq.
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Please look at the photo for the question. Thank you!
The function g(x) = x² + 4x has a: A. minimum.
The minimum value occur at x = -2.
The function's minimum value is -4.
How to determine the axis of symmetry and vertex of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:
Axis of symmetry = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
For the given quadratic function g(x) = x² + 4x, we have:
a = 1, b = 4, and c = 0
Axis of symmetry, Xmax = -b/2a
Axis of symmetry, Xmax = -(4)/2(1)
Axis of symmetry, Xmax = -2
Next, we would determine vertex as follows;
g(x) = x² + 4x
g(-2) = -(-2)² + 4(-2)
g(-2) = -4.
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When the dilation has a scale factor greater than 1, it is considered an _____
A. enlargement
B. reduction
Answer:
A. enlargement.
Step-by-step explanation:
when you multiply a number by anything greater than one the number will go up. and if it is 1 or less than one the number will go down
Simonne used the following steps to simplify the given expression.
12 minus 3 (negative 2 x + 4)
Step 1: 12 + (negative 3) (negative 2 x) + (negative 3) (4)
Step 2: 12 + 6 x + (negative 12)
Step 3: 12 + (negative 12) + 6 x
Step 4: 0 + 6 x
Step 5: 6 x
What property of real numbers was used to transition from step 3 to step 4?
Additive inverse property of real numbers was used to transition from step 3 to step 4
The property of real numbers used to transition from Step 3 to Step 4 is the additive inverse property or the property of adding the opposite. The additive inverse property states that for any real number a, there exists an additive inverse -a, such that a + (-a) = 0. In other words, adding the opposite of a number results in the sum being zero.
In Step 3 of the given expression, we have "12 + (-12) + 6x." Notice that "-12" is the opposite of "12." To simplify this expression further, we can apply the additive inverse property by combining the positive and negative numbers.
Adding 12 and its additive inverse (-12) results in 0, according to the additive inverse property. So, in Step 4, we replace "12 + (-12)" with "0." By applying the additive inverse property, the expression simplifies to "0 + 6x," which can be further simplified to just "6x."
The use of the additive inverse property is crucial in algebraic simplifications as it allows us to eliminate terms that add up to zero. This property helps streamline calculations and reduce complex expressions to simpler forms.
Overall, the transition from Step 3 to Step 4 in the given expression utilizes the additive inverse property to eliminate the sum of opposite numbers and simplify the expression to its final form, which is "6x."
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What’s
1.7a + 0.3a = 0.8
Please explain step by step to get picked brainliest!
1.7a+0.3a=0.8
2a=0.8
a=0.4
Help pls of I get the right answer I'll give briliantest
Answer:
the answer is 2450
Step-by-step explanation:
because you find the area of one which is 1225, then multiply it by 2 because there are 2 squares.
Can anyone help me plz
Answer:
11
Step-by-step explanation:
BRAINLIEST PLZ
f(2) = (3x2) + 5
= 6+5 = 11
Does anyone know this answer
Answer:
the third option
Step-by-step explanation:
by shifting it up 3, you just add 3 to -7 which is -4
by shrinking it a factor of 1/2, you multiply -2 by 1/2 which is -1
I need help please
A. Consider the functions f(x) and g(x). The function f(x)=2x-5 and g(x)= -f(x+1)+3.
Describe the three transformations that are performed on f(x) to create g(x).
B. Sketch a graph of g(x):
Step-by-step explanation:
f(x) = 2x - 5
is a line function.
the transformations are not changing the basic structure, so, also g(x) is a line function.
the negative sign reflected/mirrored the original line across the x-axis.
x+1 as argument translates the line 1 unit to the left.
+3 at the end translates the line 3 units up.
Find all possible values of &, if any, for which the matrix 5 10 A = 10 5 is not diagonalizable. If there are no such values, write none.
someone pls answer this
Answer:
Step-by-step explanation:
Male and female high school students reported how many hours they worked each week in summer jobs. The data are represented in the following box plots
Identify any values of data that might affect the statistical measures of spread and center
Answer:
The correct answer is that the males have a significantly high outlier.
Step-by-step explanation:
If you look at the box plots show the long tails t6hat signify the Q3 outlier
Answer:
b
Step-by-step explanation:
Rhombi have 4 equal sides. What other property do they possess that makes them different from other parallelograms?
A. Diagonals bisect each other
B. Consecutive angles are supplementary
C. All 4 angles are congruent
D. Diagonals are perpendicular
How dose breaking up the multiplication problem above by place value help you solve the problem
Answer: Multiplying a large number can be easier if you break it up into its place values and perform the multiplication separately for each place value.
Step-by-step explanation:
Take the following multiplication issue, for instance:
43 x 32
The issue arises if place value is used to divide the numbers:
(4 x 3) + (3 x 2) + (3 x 3) (3 x 3)
This can be stated simply as:
12 + 6 + 9 = 27
Thus, the final response is 27.
Breaking up the multiplication problem by place value can also help you avoid making mistakes because you can check each place value separately to make sure that the calculations are correct before adding them together to get the final answer.
Can someone help me with this? I want to understand each step.
Thank you
The first 5 terms of the sequence is given by A = { -4.8 , 1.92 , -0.768 , 0.3072 , -0.12288 }
Given data ,
Let the geometric sequence be represented as A
Now , the value of A is
A = 12 ( -2/5 )ⁿ
On simplifying , we get
when n = 1
A₁ = 12 ( -2/5 ) = -4.8
A₂ = 12 ( -2/5 )²
A₂ = 12 ( 4/25 ) = 1.92
A₃ = 12 ( -2/5 )³
A₃ = -12 ( 8/125 ) = -0.768
A₄ = 12 ( -2/5 )⁴
A₄ = 12 ( 16 / 625 ) = 0.3072
A₅ = 12 ( -2/5 )⁵
A₅ = -12 ( 32 / 3,125 ) = -0.12288
Hence , the geometric sequence is solved
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Let f left parenthesis x right parenthesis equals x cubed minus x squared minus 1 and x subscript 0 equals 1 . To the nearest three decimal places, find x subscript 5 using Newton's method of approximation.
The value of \(x_5\), rounded to the nearest decimal place using Newton's method of approximation is 1.466.
The correct answer is option B.
To find the value of \(x_5\)using Newton's method of approximation, we need to iterate the following formula:
\(x_(_n_+_1_) = x_n - f(x_n) / f'(x_n)\)
where f'(x) represents the derivative of the function f(x). Let's calculate the values step by step.
Given function: f(x) = \(x^3 - x^2 - 1\)
Step 1: Find the derivative of f(x)
f'(x) = \(3x^2 - 2x\)
Step 2: Initialize the starting value
\(x_0\)= 1
Step 3: Calculate \(x_1\)
\(f(x_0) = f(1) = (1^3) - (1^2) - 1 = 1 - 1 - 1 = -1\)
\(f'(x_0) = f'(1) = (3(1^2)) - (2(1)) = 3 - 2 = 1\)
\(x_1 = x_0 - f(x_0) / f'(x_0)\)
= 1 - (-1) / 1
= 2
Step 4: Calculate \(x_2\)
\(f(x_1) = f(2) = (2^3) - (2^2) - 1 = 8 - 4 - 1 = 3\)
\(f'(x_1) = f'(2) = (3(2^2)) - (2(2)) = 12 - 4 = 8\)
\(x_2 = x_1 - f(x_1) / f'(x_1)\)
= 2 - 3 / 8
= 1.625
Step 5: Repeat the process until we reach \(x_5\)
Performing the calculations for \(x_3, x_4, andx_5\), we find:
\(x_3\) ≈ 1.465
\(x_4\) ≈ 1.466
\(x_5\)≈ 1.466
After applying Newton's method of approximation to the function f(x) = \(x^3 - x^2 - 1,\)starting with,\(x_0 = 1,\) we iteratively calculated the values of \(x_1, x_2, x_3, x_4, and x_5\). The final approximation, \(x_5\), is approximately 1.466 when rounded to the nearest decimal place. This aligns with option B as the correct answer.
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Connor and Elizabeth are collecting comic books. Elizabeth has 9 comic books and plans to purchase 3 more books each month. Connor has 21 comic books and plans to purchase 2 more books each month. Elizabeth hopes to have more comics than Connor by the end of the year. What is the solution to this system of equations and what does it represent in this context?
Answer:
D
Step-by-step explanation:
let after X months, E has more comics than C.
so: 9+3X>21+2X
X>12
D is the answer.
A scientist needs 60 milliliters of buffer solution for each of 13 experiments. He has a bottle that
contains 971 milliliters of buffer solution. Is there enough buffer solution in the bottle for all 13
experiments? Explain
Answer:
Yes
Step-by-step explanation:
60 × 13 = 780 milliliters
due to 971 > 780
therefore there is enough buffer solution in the bottle for all 13 experiments
The line plot represents the afterschool activities at 15 middle schools.
A horizontal number line starting at 0 and increasing by units of two up to 30. There is one dot above 4, 6, 14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The title is Afterschool Activities, and the number line is labeled Number of Activities.
Which statement best describes the spread and distribution of the data?
The data is symmetric with an approximate range of 24. The most frequent number of activities was 16, which might mean about half of each class participated.
The data is skewed with an approximate range of 24. The most frequent number of activities was 10, which might mean there are 10 different sports and clubs for middle school students that are the most popular.
The data is bimodal with an approximate range of 24. The most frequent number of activities was either 16 or 28, which might show that the entire class needed to choose an activity.
The data is symmetric with an approximate range of 24. The most frequent number of activities was less than 10, which might mean that the schools do not have funding for the activities.
According to the line plot, the statement that best describes the spread and distribution of the data is "The data is bimodal with an approximate range of 24. The most frequent number of activities was either 16 or 28, which might show that the entire class needed to choose an activity.". (option c).
The horizontal number line starts at 0 and increases by units of two up to 30. The dots above the numbers represent the number of schools that offer a certain number of activities. For instance, there is one dot above 4, 6, 14, and 28, which means that only one school offers four activities, one school offers six activities, one school offers 14 activities, and one school offers 28 activities.
Based on this line plot, we can conclude that the data is not symmetric because there is not an equal number of dots on either side of the plot. Therefore, we can rule out the first and fourth options.
We can observe that there are more dots on the left-hand side of the plot, indicating that there are more schools that offer fewer activities. Additionally, the most frequent number of activities is 16, which means that about half of the schools offer this number of activities.
Furthermore, we can estimate the range of the data to be approximately 24, as the number line goes up to 30, and the highest number of activities offered by any school is 28.
Hence the correct option is (c).
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Martina spends $15 each time she travels the toll roads. She started the month with $225 in her toll road account. The amount, A (in dollars), that she has left in the account after trips on the toll roads is given by the following function.
A(t)=225-15t
Answer the following questions.
a. How many trips on the toll roads can Martina take until her account is empty?
b. How much money does she have left in the account after 8 trips on the toll roads?
Answer:
$70 is what he would have left. Since each trip is $14 you would multiply that by the amount of times he went which was 11. 14x11 is $154. But you need what he has left so you take his total amount $224-$154 and get $70.
Part b.) 16 times. He has $224 total. You want to find out how many times he can go on the tool roads. We know the toll roads cost $14 each time. So you do $224/14 and get an even amount of 16. He would be able to use it 16 times before he have no money left.
Step-by-step explanation:
(01.04 MC)
Which radical function has a domain of (x € R|x≤-3) and range of y€R|y24}?
The domain and range of the the function are given below -
Domain → [-5, 10)
Range → [-3, 3)
What is a function?A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes.Given is a graph of the function.
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that function takes. So, we can write the domain as -
Domain → [-5, 10)
Range → [-3, 3)
Therefore, the domain and range of the the function are given below -
Domain → [-5, 10)
Range → [-3, 3)
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