Answers
The value of the functions are (f o g) (2) = 0 and (g o f) (2) = 4.
What are functions?
In mathematics, a function is an expression, rule, or law that specifies the relationship between an independent variable x and a dependent variable y.
y and x are related in such a way that there is a distinct value of y for each value of x, and this relationship is frequently represented as y = f(x). In other words, for the same x value, there cannot be more than one value for f(x).
We are given two functions, f(x) and g(x).
Their graphs are also given.
We are asked to solve the following questions using the given graphs.
1) (f o g) (2) = f( g(2) )
To solve this we have to first start with inner functions.
g(2) = value of y when x = 2
From the g(x) graph it is given that g(2) = 2 when x = 2
Now we substitute this in f( g(2) )
i.e f(2) = value of y when x = 2 = 0
From the f(x) graph it is given that f(2) = 0 when x = 2.
So (f o g) (2) = 0
2) (g o f) (2) = g( f(2) )
f(2) = 0 ( as mentioned above)
Substituting,
g( f(2) = g (0) = 4
So (g o f) (2) = 4
Therefore the value of the functions are (f o g) (2) = 0 and
(g o f) (2) = 4.
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Related Questions
An inch is exactly 2.54
centimeters.
Write an equation to convert the number of inches x
to the corresponding length in centimeters.
Enter the equation in the box.
Answers
Answer:
x * 2.54 = centimeters
Step-by-step explanation:
The equation to convert inches to centimeters is as follows:
x inches * 2.54 cm/inch = y centimeters
Where x is the number of inches and y is the equivalent length in centimeters.
To elaborate, the conversion factor between inches and centimeters is 2.54 cm/inch, meaning that for every inch there are 2.54 centimeters. To convert from inches to centimeters, we simply multiply the number of inches by the conversion factor. This gives us the equivalent length in centimeters.
find the other end point of the line segment with the given endpoint and midpoint endpoint: (6.9), midpoint (,-6)
Answers
The other endpoint of the line segment is (13.8, 6).
The midpoint of a line segment is the point that lies exactly halfway between the two endpoints.
In this case, we have one endpoint, (6.9), and the midpoint (0,-6). Here is how we find the other endpoint:
To find the other endpoint, we need to subtract the midpoint from the given endpoint and then multiply by 2. The midpoint formula is given by:
M = (x1 + x2) / 2 and (y1 + y2) / 2
Where M is the midpoint, (x1, y1) and (x2, y2) are the coordinates of the two endpoints.
So, in our case, the other endpoint will be given by:
(x2, y2) = 2 * (6.9, 0) - (0, -6)
Expanding the expression, we get:
x2 = 2 * 6.9 - 0 = 13.8
y2 = 2 * 0 - (-6) = 6
Therefore, the other endpoint of the line segment is (13.8, 6).
Complete question:
Find the other end point of the line segment with the given endpoint and midpoint endpoint: (6.9), midpoint (0,-6)
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Let $\triangle ABC$ be a right triangle, and let $H$ be the point on side $\overline{AB}$ so that $\overline{CH} \perp \overline{AB}.$
[asy]
// Coordinates for 3-4-5 triangle
pair A = (5, 0);
pair B = (0, 0);
pair C = (1.8, 2.4);
pair H = foot(C, A, B);
draw(A--B--C--cycle);
draw(rightanglemark(B, C, A));
draw(C--H);
draw(rightanglemark(C,H,A));
label("$A$", A, E);
label("$B$", B, W);
label("$C$", C, N);
label("$H$", H, S);
label("$x$", midpoint(B--H), S);
label("$y$", midpoint(A--H), S);
label("$h$", midpoint(C--H), E);
label("$a$", midpoint(B--C), NW);
label("$b$", midpoint(A--C), NE);
[/asy]
Prove that
\[(x + h)^2 + (y + h)^2 = (a + b)^2.\]
Answers
The Proof of ( x + h)² +( y + h)² = (a + b)² is shown below.
What is Similarity?In geometry, two similar forms are those whose dimensions are identical or have a same ratio but the size or length of their sides differ. Examples include similar triangles, similar rectangles, and similar squares. The scale factor is another name for the common ratio. Additionally, the equivalent angles have the same magnitude.
Given:
BHC and BCA are similar
HC / BC = CA / BA
so, h / a = b / ( x + y) ........... (1)
Working with your expansion
x² + h² = a² and
y² + h² = b²
So, subtracting out the equal parts we are left with
2xh + 2yh = 2ab ..........(3) divide through by 2
xh + yh = ab
h( x + y) = ab which we can rearrange as
h / a = b / ( x+ y)..............(2)
Since this is equal to (1) and it's just a rearrangement of (3) adding all the other equal parts of the expansion shows that
(x² + h²) + (y² + h²) + ( 2xh + 2yh) = a²+ b²+ 2ab
( x² + 2xh + h²) + ( y² + 2yh + h²) = ( a + b)²
( x + h)² + ( y + h)² = (a + b)²
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Which of the following are quadratic functions ? Check all that apply . A y = 3x - 4; y = (5x - 3x ^ 2)/4 + 1 B . . y = 2x ^ 2 - 3x + 7 D. y = x - x ^ 3
Answers
The answer options that are quadratic functions include the following:
B. y = (5x - 3x^2)/4 + 1.
C. y = 2x^2 - 3x + 7.
What is a quadratic function?In Mathematics, a quadratic function can be defined as a mathematical expression which defines and represent the relationship that exists between two (2) or more variable on a graph, with a maximum exponent of two.
Generally speaking, the standard form of a quadratic function is given by this mathematical expression;
ax² + bx + c = 0
Where:
a and b represents the coefficients of the first and second term in the quadratic function. c represents the constant.In this context, we can reasonably infer and logically deduce that the expressions that are quadratic functions include both y = (5x - 3x²)/4 + 1 and y = 2x² - 3x + 7 because they have a maximum exponent of two.
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what 2n boys are divided into two equal subgroups, find the probability that the two tallest are in the same subgroup?
Answers
The probability that the two tallest are in the same subgroup is given as follows:
2/n².
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.
In this problem, we have that:
There are 2n boys.They are divided into two equal groups, hence each group has n students.For each student, the probability of belonging to a group is given as follows:
1/n.
Hence the probability that the two tallest are in the same subgroup is obtained as follow:
2 x 1/n x 1/n = 2/n².
The multiplication by 2 is because there are two groups.
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Although there are many treatments for bulimia nervosa, some subjects fail to benefit from treatment. In a study to determine which factors predict who will benefit from treatment, Wendy Baell and E.H. Wertheim found that self-esteem was one of the important predictors. The mean and standard deviation of posttreatment self-esteem scores for n = 21 subjects were
= 26.6 and s = 7.4, respectively. Find a 95% confidence interval for the true posttreatment self-esteem scores.
Answers
95% CI for the true posttreatment self-esteem score is:
(24.47, 28.73)
The formula for calculating a 95% confidence interval for the mean self-esteem score is as follows:
(standard deviation/square root of sample size) * (mean (critical value)
The standard deviation of a set of data is a measure of its spread or dispersion. It denotes the average deviation of individual values in a data set from the data set's mean.
A low standard deviation indicates that the data points are close to the mean, whereas a high standard deviation indicates that the data points are scattered across a wide range.
For a normal distribution and a 95% confidence level, the critical value is 1.96.
As a result, the 95% confidence interval for the mean posttreatment self-esteem score is as follows:
26.6 ± 1.96 * (7.4/sqrt(21)) = 26.6 ± 2.13
As a result, the 95% CI for the true posttreatment self-esteem score is:
(24.47, 28.73)
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P(A or B)=P(A) + P(B)-P(A and B)
P(A and B)=P(A)xP(B|A)
P(B|A)=P(A and B)
P(A)
In a Pew poll of American voters, almost 80% of Democrats say the government
shutdown is a "very serious problem for the country, while just 35% of Republicans feel
the same. 54% of the people polled were Democrats and 46% were Republicans.
(a) Overall, what percentage of American voters say the government shutdown is a
"very serious" problem for the country?
%
Answer=
(b) Set up a 2x2 probability table. Round all percentages to 2 decimal places.
Democrat
Republican
Total
Serious
P(A and B)=P(A)x P(B) (if independent)
Not Serious
Total
%
%
%
%
%
%
%
%
%
Answers
Answer:For part (a), the overall percentage of American voters who say the government shutdown is a "very serious problem for the country" can be calculated as follows:
P(A) = 54% (probability of being a Democrat)
P(B|A) = 80% (probability of saying the shutdown is a "very serious problem" given that the person is a Democrat)
P(A and B) = P(A) * P(B|A) = 54% * 80% = 43.2%
P(B) = 35% (probability of saying the shutdown is a "very serious problem" for Republicans)
P(A|B) = (P(A and B) / P(B)) = (43.2% / 35%) = 123.14%
P(A or B) = P(A) + P(B) - P(A and B) = 54% + 35% - 43.2% = 45.8%
Therefore, the overall percentage of American voters who say the government shutdown is a "very serious problem for the country" is 45.8%.
For part (b), the 2x2 probability table can be set up as follows:
Serious Not serious Total
Democrat 43.2% 6.8% 50%
Republican 10.5% 35.5% 46%
Total 53.7% 42.3% 100%
Step-by-step explanation:
How would the break-even period in this scenario change if you lived in another state? Research another state’s minimum coverage requirement and calculate the break-even period you calculated above for that state’s minimum coverage requirements. Assume that all other variables (premium, deductible, etc.) are the same. Specify the state you researched and its minimum coverage requirements in your answer.
Answers
The break-even point refers to the amount of revenue necessary to cover the total fixed and variable expenses incurred by a company.
What is meant by break-even period?In business accounting, the break-even point refers to the amount of revenue necessary to cover the total fixed and variable expenses incurred by a company within a specified time period.
To calculate the break-even point in units use the formula:
Break-Even point (units) = Fixed Costs ÷ (Sales price per unit – Variable costs per unit) or in sales dollars using the formula: Break-Even point (sales dollars) = Fixed Costs ÷ Contribution Margin.
Insurance Requirements the part of a commercial contract in which the types and minimum amounts of insurance the parties agree to provide in connection with their performance of the contract are specified.
A break even point is used in multiple areas of business and finance. In accounting terms, it refers to the production level at which total production revenue equals total production costs. In investing, the break even point is the point at which the original cost equals the market price.
Therefore, the break-even point refers to the amount of revenue necessary to cover the total fixed and variable expenses incurred by a company.
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show that the additive inverse, or negative, of an even number is an even number using a direct proof.
Answers
Let x be an even number. Then, x = 2k for some integer k. The negative of x, -x, is equal to -2k, which is also an even number. Thus, the additive inverse of an even number is an even number.
An even number is any number that can be divided by 2 without any remainder, meaning that it can be written in the form x = 2k for some integer k. The additive inverse, or negative, of an even number, x, is -x. By definition, this is equal to -2k. As -2k can still be divided by 2 without any remainder, it is also an even number.
This can also be understood by looking at the positive and negative sides of the number line. If x is an even number, then it is two units away from 0. Therefore, -x is also two units away from 0, which means it is an even number. This shows that the additive inverse of an even number is an even number.
To prove this, we can look at a specific example. Let x = 8. Then, 8 = 2x4. The negative of 8, -8, is equal to -2x4, which is still an even number. Thus, this proves that the additive inverse of an even number is an even number.
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The cost of direct materials transferred into the Bottling Department of Mountain Springs Water Company is $27,225. The conversion cost for the period in the Bottling Department is $7,596. The total equivalent units for direct materials and conversion are 60,500 liters and 63,300 liters, respectively. Determine the direct materials and conversion cost per equivalent unit. Round your answers to the nearest cent.
Answers
Cost of direct materials per equivalent unit = $0.45.
Conversion cost per equivalent unit = $0.12.
What is FIFO method?The FIFO method is the First In First Out method. It is an accounting method used for cost flow assumption purposes in the cost of goods sold calculation.
In the Bottling Department,
The cost of direct materials transferred = $27,225.
The conversion cost = $7,596.
The total equivalent units for,
Direct materials = 60,500 liters.
conversion = 63,300 liters.
By using FIFO method,
The cost of Direct materials per equivalent unit = [tex]\frac{27,225}{60,500}[/tex]
=$0.45
Conversion cost per equivalent unit = [tex]\frac{7596}{63,300}[/tex]
= $0.12
Hence, the cost of direct materials and conversion cost per equivalent unit is $0.45 and $0.12 respectively.
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Ariana Garnde is coming to north gulfport middle school for fundraising concer! nevaeh is selling this week, she sold 3 kids and 9 adult tickets for a total of $75. Last week, she sold 8 kids tickets and 6 adult tickets for $67. how much was each adult ticket, and how much was each kids tickets, i need graph solution, subtituion and elimination.
Answers
There are seven kids tickets and 4 adult tickets.
What is simultaneous equation?
We know that we have to solve the simultaneous equation here;
Let cost of one kids ticket be x and the cost of one adult ticket be y
3x + 9y = 75 ---- (1)
8x + 6y = 67 ----- (2)
We then have that multiplying (1) by 8 and (2) by 3
24x + 72 y = 600 ---- (3)
24x + 18 y = 201 --- (4)
Subtract (4) from (3)
54 y = 399
y = 7
Then;
3x + 9(7) = 75
x = 4
We are going to end up having that there are seven kids tickets and 4 adult tickets.
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Consider the function below. x= -1, 0,1,2 and f(x)= -2,3,8,13 Which of the following functions could be the inverse of function f?
Answers
Answer:
Step-by-step explanation:
A function is the inverse of another function if it "undoes" the original function. In other words, if you apply the original function to an input and then apply the inverse function to the result, you get the original input.
To find the inverse of a function, you can swap the input and output values of the original function, and then solve for the new input variable. For example, if the original function is f(x) = y, the inverse function would be f^-1(y) = x.
Given the function f(x) = -2, 3, 8, 13, it is not possible to find a simple algebraic inverse function for the given values of x = -1, 0, 1, 2. The inverse of a function is only well-defined if the function is one-to-one, meaning that for every output value, there is only one input value that maps to it. In this case, the function does not appear to be one-to-one, so it does not have an inverse function.
The US National Science Foundation collects data on the dollar amount for a grant given to a scientist in the Engineering field. A sample of this year’s grants is: (given in thousands of dollars)
22 5 26 23 27 50 100 70 90 25
Calculate and interpret the following statistics (show work to receive credit).
a. Median b. Q1 c. Q3 d. IQR e. Range
Answers
The statistics interpreted from the given data is:
a. Median = 26.5
b. Q1 = 22.5
c. Q3 = 60
d. IQR = 37.5
e. Range = 95
The given data sample of this year’s grants(given in thousands of dollars) in ascending order is :
5 22 23 25 26 27 50 70 90 100
The median of a data set is the middle value when the data is arranged in ascending or descending order. When number of values is even, there are two values in the middle, so we take the average of the two. So the median is
= (26 + 27)/ 2
= 26.5
The first quarter or the lower quartile (Q1), is the value under which 25%, that is first quarter of the data points are found when they are arranged in increasing order. Here Q1 is 0.25*10, that is 2.5th value, but its not possible. So we should interpolate
Q1 = 22.5
Similarly third quartile, Q3 is the value under which 75% of the data points are found when they are arranged in increasing order. So
Q3 = (70 + 50)/2
= 60
And inter quartile range (IQR)
= Q3 - Q1
= 60 - 22.5
= 37.5
Range is
= 100 - 5
= 95
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Solve the inequality. Express your solution using interval notation. graph the solution set. -5(x-3) ≥ 3[4-(x+4)]
Answers
On solving the provided question we can say that The inequality we have here is -5(x-3) ≥ 3[4-(x+4)] => 15/17 ≥ x
What is inequality?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
The inequality we have here is
-5(x-3) ≥ 3[4-(x+4)]
-5x + 15 ≥ 12x
15 ≥ 17x
15/17 ≥ x
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the heights of a group of students, in centimeters, are 158, 162, 172,.157, 161.com. A) caculate the mean heaight . B) another student joins the group. his height is 169cm. calculate the new mean height?
Answers
Step-by-step explanation:
So basically To find the mean you have to add all the numbers and divide by how many numbers you have, but to do that you have to make sure the numbers are lined up correctly so
157,158,161,162,172 ( Correct Order ) Smallest to biggest now add these up
157 + 158 + 161 + 162 + 172 = 810 / 5 = 162
The mean height is 162 cm
The new mean height
Again we're going to do the same thing
157 + 158 + 161 + 162 + 169 + 172 = 979/6 = 163.16666 = 163 cm
Hence the first mean height is 162 cm and the new mean height is 162 cm
Solve the triangle:
Answers
Answer: 101.6
Since we are trying to find the sides of both the triangles, we will need to use the Sin, Cos, & Tan trigonometry functions. There are 3 equations:
[tex]Sin (Angle) = \frac{Opposite}{Hypotenuse} \\Cos (Angle) = \frac{Adjacent}{Hypotenuse} \\Tan (Angle) = \frac{Opposite}{Adjacent}[/tex]
For this triangle shown in the picture, we can infer that the 88 is OPPOSITE to the 60° and 30° angles. So we already have the opposite, and since we are trying to find the adjacent, we will use the formula that consists both opposite and adjacent, which is the following:
[tex]Tan(Angle) = \frac{Opposite}{Adjacent}[/tex]
Since [tex]x[/tex] is only a part of the long triangle, we will subtract the small triangle's side from the big one, which will give us [tex]x\\[/tex].
We can input our values to solve each triangle's side lengths.
(You have to use the calculator for these)
Small one:
[tex]Tan(60) = \frac{88}{Adjacent}\\Adjacent = \frac{88}{Tan(60)}\\Adjacent = \frac{88\sqrt{3} }{3} = 50.807 (3 d.p)[/tex]
Big one:
[tex]Tan(30) = \frac{88}{Adjacent} \\Adjacent = \frac{88}{Tan(30)} \\Adjacent = 88\sqrt{3} = 152.420 (3d.p)[/tex]
Now, to calculate [tex]x[/tex] , we will subtracat the small one from the big one like this: (it is better to input the values with the surds and not the real numbers for accurate marks and calculations)
[tex]88\sqrt{3} - \frac{88\sqrt{3} }{3} = 101.6 (1 d.p)[/tex]
That is the answer. If you did not understand it completely, please reach me back and I will help you :)
Consider the basis B
of R2
consisting of vectors [5−1]
and [−7−4]
. Find x
in R2
whose coordinate vector relative to the basis B
is [x]B=[25]
x=?
Answers
The value for x vector is [tex]v=\left[\begin{array}{ccc}-25\\-22\end{array}\right][/tex].
What is a vector?
A vector in mathematics is a quantity that not only expresses magnitude but also motion or position of an object in relation to another point or object. Euclidean vector, geometric vector, and spatial vector are other names for it.
Given a vector v ∈ R² let (x, y) be its standard coordinates, i.e., coordinates with respect to the standard basis [tex]e_1=\left[\begin{array}{ccc}5\\-1\end{array}\right][/tex] and [tex]e_1=\left[\begin{array}{ccc}-7\\-4\end{array}\right][/tex].
The desired coordinates x, y satisfy -
v = xe1 + ye1
So, the vector v is -
[tex]v=2\left[\begin{array}{ccc}5\\-1\end{array}\right] +5\left[\begin{array}{ccc}-7\\-4\end{array}\right][/tex]
[tex]v=\left[\begin{array}{ccc}10\\-2\end{array}\right] +\left[\begin{array}{ccc}-35\\-20\end{array}\right][/tex]
[tex]v=\left[\begin{array}{ccc}-25\\-22\end{array}\right][/tex]
Therefore, the matrix is [tex]v=\left[\begin{array}{ccc}-25\\-22\end{array}\right][/tex].
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If f ( x ) = x 2 + 2 x − 3 and g ( x ) = x 2 − 9 , find ( f g ) ( 4 ) and ( f + g ) ( 4 ) . ( f g ) ( 4 ) is , and ( f + g ) ( 4 ) is .
(Photo)
Pls help…
Answers
Answer:
3
28
Step-by-step explanation:
The expression (f/g) (4) is equal to f(4) / g(4).
f(4) = 4^2 + 2*4 - 3 = 16 + 8 - 3 = 21
g(4) = 4^2 - 9 = 16 - 9 = 7
So, (f/g) (4) = 21 / 7 = 3.
The expression (f + g) (4) is equal to f(4) + g(4).
f(4) = 4^2 + 2*4 - 3 = 16 + 8 - 3 = 21
g(4) = 4^2 - 9 = 16 - 9 = 7
So, (f + g) (4) = 21 + 7 = 28.
A math and science museum recently installed a door that features a stained glass topper as shown. What is the are
a of the topper?
Answers
The area of the topper will be 24 square units.
What is the area of the rectangle?A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
The area of the glass topper will be:-
Area = Length x Width
Area = 6 x 4
Area = 24 square units
The image of the glass topper is attached with the answer below.
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Write a paragraph summarizing how Chandragupta Maurya built and ruled the Mauryan Empire. Use these words or phrases in your summary: kingdoms, conquer, unite, force, central government.
Answers
The Maurya Empire was founded in 322 B.C. by Chandragupta Maurya, after overthrowing Dhana, the king of the Nanda dynasty. Chandragupta initiated battles to defeat and conquer the kingdoms left by Alexander the Great and gained additional lands west of the Indus River by force. He enlarged his power westward across central and western India, and by 320 B.C., the empire had fully occupied Northwestern India. Chandragupta Maurya became the first emperor to unite India into one state, under a central government.
Who is Chandragupta Maurya?Chandragupta Maurya was the creator of the Maurya Empire in ancient India. He established one of the largest empires on the Indian subcontinent.
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need help
please help me
Answers
The shaded region in the graph represents the possible solution sets to the inequality.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the inequality -
x² + 15 ≥ 23
The given inequality is -
x² + 15 ≥ 23
Refer to the graph attached.
The shaded region represents the possible solution sets to the inequality above.
Therefore, the shaded region in the graph represents the possible solution sets to the inequality.
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Heather saved $20 a week. This was 5% of her salary. What was Heather’s weekly salary?
Answers
Answer:
$400
Step-by-step explanation:
Here is my crack at it:
To find Heather's weekly salary, we can set up an equation using the information given. Let's call Heather's weekly salary "x".
According to the problem, $20 is 5% of her salary, so we can write this as an equation:
$20 = 0.05x
Now we can solve for x by dividing both sides by 0.05:
x = 400$
So Heather's weekly salary was $400.
Heather’s weekly salary would be 400$.
If heather saved $20 a week. This was 5% of her salary. Heather’s weekly salary would be
Given, $20 = 5%
As we know, the total salary will be 100 %
If 5% = $20
then, 100% = $400 (multiplying both the sides by 20)
Thus, Heather’s weekly salary was 400$.
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Express the statement as an equation. (Use k as the constant of proportionality.). A varies inversely as r. Use the given information to find the constant of proportionality. If r = 3, then A = 7. k=
Answers
The equation expressing the statement is A = k/r, where k is the constant of proportionality. Given that r = 3 and A = 7, the constant of proportionality can be found by rearranging the equation to k = A × r and substituting the given values to calculate: k = 7 × 3 = 21.
The statement "A varies inversely as r" can be expressed mathematically as an equation: A = k/r, where k is the constant of proportionality. This equation states that A is proportional to 1/r, meaning that as r increases, A decreases, and as r decreases, A increases. To find k, we can rearrange the equation to k = A × r and substitute the given values. In this case, if r = 3 and A = 7, then k = 7 × 3 = 21. Therefore, the constant of proportionality is 21. This equation can be used to determine the values of A, given a value of r, or the values of r, given a value of A. For example, if r = 4, then A = k/4 = 21/4 = 5.25. Conversely, if A = 10, then r = k/A = 21/10 = 2.1. This equation can be used to determine the values of A and r for any given situation.
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if the positive numbers from 1 to 116, inclusive, are written on a piece of paper, then the sum of all of the numbers that are written on the paper is
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The sum of all the positive numbers from 1 to 116, inclusive, is 6350.
The sum of the first n positive integers can be found using the formula n(n+1)/2. In this case, n=116, so the sum of all the positive numbers from 1 to 116, inclusive, is 116 * 117 / 2 = 6350. This formula can be useful in a variety of mathematical and real-world applications, such as finding the total number of objects in a sequence or the total distance traveled by an object moving at a constant speed.
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Math ready Unit 5 lesson 3 task 10 part 1 BurgerRama Cartoon Dolls answer key to 4
Answers
Based on the information in the table, a graph can be created to relate the number of Supply Dolls and Demand Dolls with respect to the sale value.
How to create a graph with the information from the table?To create a graph with the information in the table, we must identify what information should go on the x-axis and the y-axis. In this case, we are being asked to locate the sale value on the x axis and on the y axis we must locate the number of units supplied and demanded.
Based on this information, we can infer that at a lower sale price, more dolls are demanded, but not as many are supplied. On the contrary, when the price is higher ($4.00) more dolls are supplied but not as many are demanded. This means that the relationship is inversely proportional.
Note: This question is incomplete because there is some misinformation. Here is the complete information:
Task.
Joan King is marketing director for the BurgeRama restaurant chain. BurgerRama has decided to have a cartoon-character doll made to sell at a premium price at participating BurgerRama locations. The company can choose from several different versions of the doll that sell different prices. King's problem is to decide which selling price will best suit the needs of BurgerRama's customers and store managers. King has data from previous similar promotions to help her make a decision.
1. Use the data from the table above to plot points representing selling price and supply price on a graph. (Selling Price of Each Doll should appear on the x-axis, and Number of Dolls Per Week per Store should appear on the y-axis). Draw the line through the data points and write the word "Supply on this line.
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Find the area of the shaded portion.
Answers
Answer:
3a^2
Step-by-step explanation:
one way of answering this question is by finding the area of the whole shape, including the non-shaded shape, then taking away the area of the non-shaded shape from the whole thing, leaving you the area of the shaded shape
Step-by-step
find the area of the whole shape
2a x 2a
= 4a^2 (or 4a to the power of 2)
Now that we have the area of the whole shape, we must find the area of the non-shaded shape and take it away from 4a^2, we do this by
a x a
= a^2 (or a to the power of 2)
now we minus the non-shaded shape away from the total area
4a^2 - a^2
= 3a^2 (or 3a to the power of 2)
Peter wants to estimate the mean value rolled on a fair number cube. He has generated four samples containing five rolls of the number cube as shown in the table below. Which sample will result in the greatest mean?
Answers
The sample that have the greatest mean is sample {4, 5, 2, 4, 3, 6}
The correct option is D.
What is sample space?A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of potential experiment results. Depending on the experiment, a sample area could contain a variety of results.
Given:
Peter wants to estimate the mean value rolled on a fair number cube.
He has generated four samples containing five rolls of the number cube, as shown in the table below.
The mean of the data sample 1:
(1 + 4 + 5 + 2 + 4 + 3)/6 = 3.167
The mean of the data sample 2 = 3.83
The mean of the data sample 3 = 3.67
The mean of the data sample 4 = 24/6 = 4
Therefore, the mean of the data sample 4 has greatest mean.
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The complete question:
Peter wants to estimate the mean value rolled on a fair number cube. He has generated four samples containing five rolls of the number cube, as shown in the table below. Which sample will result in the greatest mean? Sample Data Sample 1 4 5 2 4 3 Sample 2 2 2 6 5 6 Sample 3 4 6 3 4 2 Sample 4 5 2 4 3 6
what expressions are equivalent to 4x4x4x4x4
Answers
Answer:
4^5 = 1024
Step-by-step explanation:
What is the balance after 3
years on a CD with an initial
investment of $2,200.00 and a
2.95% interest rate?
A. $2,205.90
C. $6,490.00
B. $2,329.80
D. $2,400.50
Answers
Answer:
Step-by-step explanation:
The balance after 3 years can be calculated as follows:
I = P * r * t
Where:
I = interest
P = principal amount (2200)
r = interest rate (0.0295)
t = time in years (3)
So,
I = 2200 * 0.0295 * 3
I = 153.1
The final balance would be:
P + I = 2200 + 153.1
P + I = 2353.1
The final balance after 3 years is $2353.1, which is closest to option B ($2,329.80).
Please help I will give brainleist
Answers
Explained:-
-4.8 x -5 = 24