The required graph that shows the relationship between distance and time for a bicycle that travels 10 miles per hour has been shown.
In this graph, the x-axis represents time (in hours) and the y-axis represents the distance (in miles). The black line represents the distance traveled by bicycle traveling at a constant speed of 10 miles per hour. As you can see, the distance traveled is directly proportional to the time elapsed, so the graph forms a straight line with a positive slope.
Thus, the graph that shows the relationship between distance and time for a bicycle that travels 10 miles per hour has been shown.
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1. The proportion, p, of consumers who shop with coupons
is the ratio of the number, C, of consumers who use coupons
to the number, N, of consumers asked. Write an equation
for the proportion of consumers who shop with coupons.
The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.
What is equation?An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.
Here,
This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.
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Solve the inequality for w.
w+7<20
Simplify your answer as much as possible.
0
Answer:
w<13
Step-by-step explanation:
Works identically to a normal single-variable equation.
Subtract 7 on both sides in order to isolate w--->w+7-7<20-7
The answer (which cannot be simplified any further) is w<13.
Answer:
w < 1`3
Step-by-step explanation:
Isolate the variable w on one side of the inequality sign.
w+7<20
w<20 - 7
w<13.
Can someone help me with this I will make you brainliset
Answer:
I believe the answer is statements 1, 4, and 6.
Step-by-step explanation:
Answer:
1.4 and 1.7
Step-by-step explanation:
Part A: Timothy said that AKLM was dilated by a scale factor of 1.5 centered at the origin. Is Timothy CORRECT? Explain your answer or show your work.
Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.
What is dilation?In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.
For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:
Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).
Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).
Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).
In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.
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Find the x- and y-intercepts of the graph of x +6y= 10. State each answer as an integer or an improper fraction in simplest form.
The x- and y-intercepts of the graph of x +6y= 10 is 10 and 5/3.
In the given question we have to find the x- and y-intercepts of the graph of x +6y= 10.
The given equation is x +6y= 10.
To find the x intercept we have to put y=o and to find the y intercept we have to put x=0.
Firstly finding the x intercept by putting y=0 in the equation.
x +6×0= 10
x+0=10
x=10
Now finding the y intercept by putting x=0 in the equation.
0 +6y= 10
6y = 10
Divide by 6 on both side
6/6 y =10/6
y=5/3
Hence, the x- and y-intercepts of the graph of x +6y= 10 is 10 and 5/3.
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Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second charged $45 per hour. The mechanics worked for a combined total of 35 hours, and together they charged $1775. How long did each mechanic work?
Answer:
A worked 20 hours and B worked 15 hours.
Step-by-step explanation:
Given:
Mechanic A hourly rate = $55
Mechanic B hourly rate = $45
Total charged = $1775
Let's assume Mechanic A worked 'A' amount of hours and Mechanic B worked 'B' amount of hours, then
Step 1:
First equation: A + B = 35
Second equation: 55xA + 45xB = 1775
Step 2:
First equation can be written as: A = 35 - B
Step 3: Replace value of A in second equation
Second equation: 55x(35-B) + 45B = 1775
: 1925 - 55B + 45B = 1775
: (1925 - 1775 )/10 = B
: B = 15 hours
A worked = 35 - 15
= 20 hours
Find the equation to the line
The equation of the line is y = 2/3x + 1
How to determine the equation of the line?The graph represents the given parameter
From the graph, we have the following points that can be used in our computation:
(x, y) = (0, 1) and (3, 3)
The equation of the line is then calculated using the following equation
y = (y₂ - y₁)/(x₂ - x₁) * (x - x₁) + y₁
Where
(x, y) = (0, 1) and (3, 3)
Substitute the known values in the above equation, so, we have the following representation
y = (3 - 1)/(3 - 0) * (x - 0) + 1
Evaluate
y = 2/3 (x - 0) + 1
So, we have
y = 2/3x + 1
Hence, the line equation is y = 2/3x + 1
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let d be diagonal, with repeated diagonal entries grouped contiguously. show that if a commutes with d, then it must be block diagonal.
As, a is block diagonal, with diagonal blocks of size \(m_1 \times m_1\), \(m_2 \times m_2\), \(\dots\), \(m_k \times m_k\), respectively. So, if a commutes with d, then it must be block diagonal.
Let's suppose that d is a diagonal matrix with repeated diagonal entries grouped contiguously, i.e.,
d = \(\begin{pmatrix} D_1 & 0 & 0 & \cdots & 0 \ 0 & D_1 & 0 & \cdots & 0 \ 0 & 0 & D_2 & \cdots & 0 \ \vdots & \vdots & \vdots & \ddots & \vdots \ 0 & 0 & 0 & \cdots & D_k \end{pmatrix}\),
where \(D_1, D_2, \dots, D_k\) are scalars and appear with frequencies \(m_1, m_2, \dots, m_k\), respectively, so that \(m_1 + m_2 + \dots + m_k = n\), the size of the matrix.
Suppose that \(a\) is a matrix that commutes with d, i.e., ad = da.
Then, for any \(i \in {1, 2, \dots, k}\), we have
\(ad_{ii} = da_{ii}\)
Here, \(d_{ii}\) denotes the \(i$th\) diagonal entry of d, i.e., \(d_{ii} = D_i\) for \(i = 1, 2, \dots, k\). Since d is diagonal, \(d_{ij} = 0\) for \(i \neq j\), and
hence
\(ad_{ij} = da_{ij} = 0\)
for all \(i \neq j\).
Therefore, a is also diagonal, with diagonal entries \(a_{ii}\), and we have
\(a = \begin{pmatrix} a_{11} & 0 & 0 & \cdots & 0 \ 0 & a_{11} & 0 & \cdots & 0 \ 0 & 0 & a_{22} & \cdots & 0 \ \vdots & \vdots & \vdots & \ddots & \vdots \ 0 & 0 & 0 & \cdots & a_{kk} \end{pmatrix}\)
Thus, a is block diagonal, with diagonal blocks of size \(m_1 \times m_1\), \(m_2 \times m_2\), \(\dots\), \(m_k \times m_k\), respectively.
Therefore, if a commutes with d, then it must be block diagonal.
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Someone please help I don’t understand this at all would really appreciate some help !!!!
The results of the operations of functions evaluated at are listed below:
Addition - (f + g) (- 2) = 9Subtraction - (f - g) (- 2) = 3Multiplication - (f · g) (- 2) = 18Division - (f / g) (- 2) = 2 / 3How to evaluate operations of functions
In this problem we four cases of operations between two functions, a quadratic equation f(x) and a linear equation g(x). There are four operations:
Addition - f (x) + g (x) = (f + g) (x)
Subtraction - f (x) - g(x) = (f - g) (x)
Multiplication - f (x) · g (x) = f · g (x)
Division - f (x) / g (x) = (f / g) (x)
If we know that f(x) = x² - x and g(x) = 3 · x + 9, then the compositions of functions evaluated at x = - 2 are, respectively:
(f + g) (- 2) = (- 2)² - (- 2) + 3 · (- 2) + 9
(f + g) (- 2) = 4 + 2 - 6 + 9
(f + g) (- 2) = 9
(f - g) (- 2) = (- 2)² - (- 2) - 3 · (- 2) - 9
(f - g) (- 2) = 4 + 2 + 6 - 9
(f - g) (- 2) = 3
(f · g) (- 2) = [(- 2)² - (- 2)] · [3 · (- 2) + 9]
(f · g) (- 2) = 6 · 3
(f · g) (- 2) = 18
(f / g) (- 2) = [(- 2)² - 2] / [3 · (- 2) + 9]
(f / g) (- 2) = 2 / 3
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students were asked to choose a city if 4/7 of them chose new york and 1/7 chose los angeles what fraction chose either new york or los angles
Answer: 5/7 of the kids chose New York or L.A.
Step-by-step explanation:
All you need to do in this problem is add the fraction of people that chose New York and the fraction of people that chose L.A:
4/7 + 1/7 = 5/7
Solve the problem.
7/8 - 6/7 =
Answer:
1/56
Step-by-step explanation:
Answer:
1/56
Step-by-step explanation
First, find the common denominator
8 x 7 = 56
7 x 8 = 56
Your new equation is now:
7/56 - 6/56 = 1/56
PLEASE HELP ME THANK YOU!
Answer:
62
Step-by-step explanation:
1535 divided by 25 = 61.4
round up to 62
PLEASE I BEG ANYONE TO HELP ME ANWER THIS MATH QUESTION!!!
Function c
is defined by the equation c(n)=50+4n
. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n
.
True or False? The inverse function is as follows:
n=(c(n) − 50)×4
Responses
Answer:
False
Step-by-step explanation:
1. The inverse function should have c(n) isolated
2. When finding the inverse of a function, the variables c(n) and n are interchanged (and then c(n) is isolated).
It would look like this --->c(n)=50+4n--->n=50+4(c(n)) ---> c(n)=(n-50)/4
From the age of person.if two fifth of his age is subtracted the result becomes 24 years. Find his age
Answer:
60
Step-by-step explanation:
24:2 /5=24*5/2=60
Which of the equations below represents a line parallel to the x-axis?
Answer:
C.
Step-by-step explanation:
A pool measures 14 feet by 23 feet and it is surrounded by a 5-foot
deck. How much fencing is needed to fence the outside of the deck?
www.
5 ft
14 ft
The length of fence required to enclose the outside of the deck is 64.4 feet.
23 ft
5 ft
5 ft
5 ft
Answer: 114 feet of fencing
Step-by-step explanation: If there are five feet of decking on each side, then the outside lengths we're looking at are 33 ft. and 24 ft. 33+24=57, and 57x2(for the other two sides)=114 ft.
A manufacturer has 576 square inches of material available to construct the 6 faces of a carton, which will be in the shape of a rectangular prism. To maximize the volume, the carton will have dimensions such that the length and width are each twice the height.
To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).
What is the dimension required to maximize the volume of the box?Assuming the height of the rectangular prism is h inches.
According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.
The total surface area of the rectangular prism is given by the formula:
Surface Area = 2lw + 2lh + 2wh
Substituting the values, we have:
576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)
576 = 8h² + 4h² + 4h²
576 = 16h² + 4h²
576 = 20²
h² = 576/20
h² = 28.8
h = √28.8
h = 5.37
The height of the prism is approximately 5.37 inches.
The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.
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Find the slope of the line passing through the points (-5, 6) and (-5, -1).
Answer:
(-4, -1)
Thats the answer im sure
Answer:
undefined
Step-by-step explanation:
(-1-6)/(-5+5)
-7/0
undefined
The slope of a line passing through two points (x1, y1) and (x2, y2) can be calculated using the formula:
slope = (y2 - y1) / (x2 - x1)
In this case, the two points are (-5, 6) and (-5, -1). The x-coordinates of these two points are the same, which means that the line passing through them is a vertical line.
A vertical line does not have a slope in the traditional sense, as the slope formula involves division by zero (the denominator x2 - x1 would be zero in this case).
Therefore, the slope of the line passing through the points (-5, 6) and (-5, -1) is undefined.
chatGPT
What is the answer, I need one quick!
Answer:
13, 106 and 254
Step-by-step explanation:
Find a whole number that, when added to the data set below, does not change the interquartile range.
18, 20, 22, 26, 27, 28, 30, 34
One possible whole number is__.
Answer: 25 can be an option.
Step-by-step explanation:
Interquartile range is defined as the difference between the third quartile and the first quartile.
we have 8 values, so the first quartile is the lower 25% of the data:
the 25% of 8 is:
0.25*8 = 2
So the first quartile is 18 + 20 = 38
the third quartile is 30 + 34 = 64.
So we can add any integer that does not affect the first or thid quartile and the interquartile range will remain unchanged, this is if we add a number right in the midle of our data set, for example, we could add a number between 22 and 26 (let's use 25) and the interquartile range will remain unchanged.
simplify 3 ( y − 1 + 2 y )
Answer:
9y - 3
Step-by-step explanation:
3(y - 1 + 2y)
3y - 3 +6y
9y - 3
Given f(x) = -x + 7, evaluate f(-2).
Answer:
f(x)=9
Step-by-step explanation:
f(x)=-(-2)+7
f(x)=9
anyone watch anime... im trying to give out some points :)
Answer:
I do not...
Step-by-step explanation:
but I want to...
Answer:
I have never watched anime like whats it for lol
Solve for x. Leave as an improper fraction. 5 = 3x + 9
Answer:
x = -4/3
Step-by-step explanation:
hope this helps^^
-3v less than or equal to 18
Original expression
\(-3v\le18\)Reduced
\(\begin{gathered} v\ge\frac{18}{-3} \\ v\ge-6 \end{gathered}\)The answer would be
\(v\ge-6\)Michelle brought an apple cut in 4 for $0.10 per piece. How much should she pay for 3 dozen pieces
Answer:
$0.90
Step-by-step explanation:
\(\frac{4}{10}=0.4\)
3 dozen = 36
\(\frac{36}{0.4} =\frac{y}{0.1}\)
0.4 × y = 36 × 0.1
0.4y = 3.6
0.4y ÷ 0.4 = 3.6 ÷ 0.4
y = 9
NEED HELP ASAP PLS AND THX PIC IS ATTACHED
The measure of the hypotenuse of the right-angle triangle is 53.21 feet.
Given that:
Perpendicular, P = 50 feet
Angle, Ф = 70°
It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The measure of the hypotenuse of the right-angle triangle is calculated as,
sinФ = P/H
sin 70° = 50 / x
x = 53.21 feet
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jacobs exercise goal last month was to do 2,000 push ups and 2,500 sit ups. He reached 3/4 of hosgoal for push ups and 9/10 of his goal for sits ups. How many combined push ups and sit ups did jacob do last month?
Answer: 1930
Step-by-step explanation:
Answer:1930
Step-by-step explanation:
in your brains you want a ___ between excitary and inhibitroy signals
In brains, we want a balance between excitatory and inhibitory signals to maintain proper neural functioning.
Since, We know that;
In brains, we want a balance between excitatory and inhibitory signals to maintain proper neural functioning.
This balance is important because too much excitatory signaling can cause overstimulation and potential harm, while too much inhibitory signaling can lead to neural suppression and lack of responsiveness.
Hence, The proper balance between the two types of signals is necessary for healthy neuronal activity, and maintaining that balance is a key aspect of neural health.
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