The equation of the graph is f(x) = -|x + 1| + 1
How to determine the equation of the graphFrom the question, we have the following parameters that can be used in our computation:
The graph
The graph is an absolute value graph
An absolute value graph is represented as
f(x) = a|x - h| + k
Where
Vertex = (h, k)
From the graph, we have
Vertex = (h, k) = (-1, 1)
So, we have
f(x) = a|x + 1| + 1
Solving for a, we have
a|0 + 1| + 1 = 0
This gives
a = -1
So, we have
f(x) = -|x + 1| + 1
Hence, the equation of the graph is f(x) = -|x + 1| + 1
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The figure below shows part of a circle, with central angle as marked. What part of the full circle does the figure represent? Express your answer as a fraction in simplest terms.(central angle is 216*)
A part of the full circle which the figure represent include the following: 3/5.
What is a circle?In Mathematics and Geometry, a circle is a closed, two-dimensional curved geometric shape with no edges or corners. Additionally, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis), and a full circle always has a measure of 360 degrees.
Based on the information provided about this circle, we can logically deduce that the central angle has a measure of 216 degrees. This ultimately implies that, a part of the full circle can be calculated as follows;
Part = 216/360
By dividing all through by 72, we have:
Part = 3/5
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Mr. Thompon i buying 1 and 3/4 pound of turkey and 3/4 a much cheee a turkey at the deli
The correct option is D. Mr. Thompson is buying more turkey than cheese.
A fraction with a higher numerator than the denominator is said to be an improper fraction. A mixed fraction has a value that is consistently greater than 1. A mixed fraction has a proper fraction part and a whole number part.
Here, the values are given in both improper and mixed fraction formats. As a first step, convert the given mixed fraction to an improper fraction.
Then, we get 7/4 and 3/4.
To find which fraction is greater, follow the below steps.
Observe the denominator of the given values. Here, the denominator is the same, which is 4.Now compare the numerator of the given values. Here, one is 7 and another is 3. The fraction with a large numerator is greater than another. Therefore, \(\frac{7}{4} > \frac{3}{4}\).So, the amount of turkey is greater than the amount of cheese.
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The complete question is -
Mr. Thompson is buying \(1\frac{3}{4}\) pounds of turkey and \(\frac{3}{4}\) as much cheese as turkey at a deli. Which of the following statements is true?
A. He is buying the same amount of turkey and cheese.
B. He is buying less turkey than cheese.
C. He is buying twice as much turkey as cheese.
D. He is buying more turkey than cheese.
. The value V of a computer
depreciates exponentially and is
represented by V = 2,750(0.93)t
,
where t is the number of months
since the computer is purchased.
What is the purchase price of the
computer?
If the value V of a computer depreciates exponentially and is
represented by V = 2,750(0.93)t. the purchase price of the computer is $2,750.
What is purchase price?The formula given for the value of the computer is:
V = 2,750(0.93)^t
where V is the value of the computer and t is the number of months since it was purchased.
To find the purchase price of the computer, we need to know the value of V when t = 0, since that corresponds to the time of purchase. We can substitute t = 0 into the formula:
V = 2,750(0.93)^0
V = 2,750(1)
V = 2,750
Therefore, the purchase price of the computer is $2,750.
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if the area of the shaded region shown below is 120 square units, and the height of the line segment above the horizontal axis is 4 units, what is point a?
Point A is located at (4, 4) in the coordinate plane.With these dimensions, we can determine that Point A is located at (4, 4) in the coordinate plane.
To find the coordinates of point A, we need to consider the properties of the shaded region. The shaded region consists of a rectangle and a triangle. We know that the area of the shaded region is 120 square units, and the height of the line segment above the horizontal axis is 4 units.
The rectangle's area is given by its length multiplied by its width. Since the height of the rectangle is 4 units, we can deduce that the length of the rectangle is also 4 units. Therefore, the width of the rectangle can be found by dividing the total area of the shaded region by the length of the rectangle.
Subtracting the width of the rectangle from the total width of the shaded region will give us the base of the triangle. Since the triangle is isosceles, the base length is equal to the height of the rectangle.
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Use Evolutionary Solver to solve this non-linear program.
Max 5x2 + 0.4y3 − 1.4z4
s.t.
6 ≤ x ≤ 18
6 ≤ y ≤ 18
7≤ z ≤ 18
What are the optimal values of x, y and z? (Round your answers to nearest whole number.)
Evolutionary Solver is used to solve non-linear optimization problems that involve one or more objective functions and multiple constraints. The solver can find the optimal solution using one of several optimization algorithms such as Genetic Algorithm or Particle Swarm Optimization.
The given non-linear program can be solved using the Evolutionary Solver. The objective function to maximize is:Maximize: 5x^2 + 0.4y^3 - 1.4z^4Subject to:6 ≤ x ≤ 186 ≤ y ≤ 187 ≤ z ≤ 18We will use the Excel's Solver Add-in to solve the problem using the Genetic Algorithm optimization algorithm. The steps are as follows:Step 1: Open the Excel worksheet and enter the problem's objective function and constraints in separate cells.Step 2: Click on the "Data" tab and select the "Solver" option from the "Analysis" group.
Step 3: In the Solver dialog box, set the objective function cell as the "Set Objective" field, and set the optimization to "Maximize".Step 4: Set the constraints by clicking on the "Add" button. Enter the cells range for each constraint and the constraint type (Less than or equal to).Step 5: Set the "Solver Parameters" options to use the Genetic Algorithm optimization algorithm and set the maximum number of iterations to a high value (e.g., 1000).Step 6: Click on "Solve" to solve the problem and find the optimal solution.
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plzz help me with this
Answer:
84
Step-by-step explanation:
4*6*7/2=84
PLS HELP
The diameter of the park is 150 feet across. What is the circumference?
942
742
471
371
Answer:
471feet
Step-by-step explanation:
Circumference of the park = πd
d is the diameter of the park = 150feet
Substitute;
Circumference of the park = 3.14 * 150
Circumference of the park = 471ft
hence the circumference of the park is 471feet
Please Help me - You will get 60 points for the rapid reply- Use isosceles trapezoid ABCD to determine the following measurements-
Answer:
1) AD = 9 in
2) DE = 9.25 in
3) ∠EDC = 36°
4) ∠AEB = 108°
5) 11.5 in
Step-by-step explanation:
1) AD = BC = 9in
2) AC = BD (diagonals are equal)
⇒ BD = 14.25
⇒ BE + DE = 14.25
⇒ 5 + DE = 14.25
DE = 9.25
3) Since AB ║CD,
∠ABE = ∠EDC = 36°
4) ∠ABE = ∠BAE = 36°
Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)
⇒ 36 + 36 + ∠AEB = 180
∠AEB = 108
5) midsegment = (AB + CD)/2
= (8 + 15)/2
11.5
solve each equation for the given variable ) 14y = -42
Answer:
Step-by-step explanation:
13
Answer:
y = -3
Step-by-step explanation:
In order to answer this, we are going to have to do some division and multiplication. First, we will have to divide -42 by 14 to see how many times 14 can fit into -42:
-42 / 14 = -3
Then, we will replace y with -3 to make sure that this is correct:
14 (-3) = -42
-42 = -42
So, y = -3 is the answer.
Hope this helps! :)
what is the angle moved through by the hour hand between 3pm and 5pm
Answer:
30 degrees
Step-by-step explanation:
if the hand goes from 3 to 5 it has rotated 30 degrees
HELP ASAP I WILL GIVE BRAINLIEST!!! Write two inequalities that would have the solution set as graphed below.
Answer:The answer is x > -1
Step-by-step explanation:
Find an equation of the sphere with center (-3, 2, 6) and radius 5. What is the intersection of this sphere with the yz-plane? x = 0
The intersection of the sphere with the yz-plane is a circle centered at (2, 6) with a radius of 5.
The equation of a sphere with center (h, k, l) and radius r is given by (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2. In this case, the center is (-3, 2, 6) and the radius is 5, so the equation of the sphere is (x + 3)^2 + (y - 2)^2 + (z - 6)^2 = 25.
To find the intersection of the sphere with the yz-plane (x = 0), we substitute x = 0 into the equation of the sphere. This gives (0 + 3)^2 + (y - 2)^2 + (z - 6)^2 = 25, which simplifies to 6^2 + (y - 2)^2 + (z - 6)^2 = 25. This equation represents a circle in the yz-plane centered at (2, 6) with a radius of 5.
Therefore, the intersection of the sphere with the yz-plane is a circle centered at (2, 6) with a radius of 5.
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Helloooo please give the right answer :)
Answer:
9 feet
Step-by-step explanation:
3X3=9 feet therefore 3 yards is equal to 9 feet
The stock bottle of Potassium Chloride contains 500 tablets. How many prescription orders for 60 tablets can be filled with this stock bottle?
\(500/60=8\frac{1}{3\\}\) so either \(8\) or \(8\frac{1}{3}\)
The stock bottle of 500 tablets fill a maximum of 8 prescription orders for 60 tablets each.
To determine how many prescription orders for 60 tablets filled with the stock bottle of 500 tablets, to perform a division.
Number of prescription orders that filled = Total number of tablets in stock bottle / Number of tablets per prescription order
Number of prescription orders = 500 tablets / 60 tablets per prescription order
Number of prescription orders = 8.333...
Since have a fraction of a prescription order, round down to the nearest whole number because out partial orders.
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There are two numbers which sum to 16. If one number is eight less than three times the other, find the numbers.
Answer: the two numbers are 6 and 10
Step-by-step explanation:
An equation is formed of two equal expressions. The numbers are 10 and 6.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the following details about the question,
There are two numbers which sum to 16. One number is eight less than three times the other.Now, Let the two numbers be represented by x and y. Therefore, we can write the sum of the two numbers as,
x + y = 16 _____(1)
Further, One number is eight less than three times the other.
We can write it as,
x = 3y - 8 _______(2)
Now,
From (1) and (2)
Put (2) in (1)
x + y = 16
3y - 8 + y = 16
4y - 8 = 16
Add 8 on both sides.
4y - 8 + 8 = 16 + 8
4y = 24
Divide both sides by 4
y = 24/4
y = 6
Put y = 6 in (1) or (2)
x + y = 16
x + 6 = 16
Subtract 6 on both sides.
x + 6 - 6 = 16 - 6
x = 10.
We have,
x = 10 and y = 6
Thus, the two numbers are 10 and 6.
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у= - 3х - 3
у = х + 5
Answer:
(x,y)=(-2,3)
Step-by-step explanation:
Since both expressions -3x-3 and x+5 are equal to y, set them equal to eachother forming an equation in x
-3x-3=x+5
solve the equation for x
x= -2
substitute the given value of x into the equation y=x+5
y= -2 +5
solve the equation for y
y=3
the possible solution of the system is the ordered pair (x,y)
(x,y) = (-2,3
check if the given ordered pair is the solution of the system of equations
{3= -3x(-2) -3
{3= -2 +5
simplify the equalitites
{3=3
{3=3
since all the equalitites are true, the ordered pair is the solution of the system
(x,y)=(-2,3)
Hope this helps!! I would really appreciate a brainliest
please help!! i have no idea!
Answer:
Step-by-step explanation:
I think that you cut off the leading number in the BD segment 8cm appears to be truncated....
if that number was in the image....
BC would be sqrt(52.3 ^2 + ?.8^2)
if you have BC then
sin(θ)/BC = sin(90)/18.6
which graph shows the solution to the system of linear equations?
y=-1/3x+1
y=-2x-3
y = -1/3x + 1
y = -2x - 3
We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.
The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.
The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.
Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.
Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.
Watches and bacteria: A group of researchers investigated the contamination of medical personnel watches at a New York hospital, since there is a potential for patient exposure to potentially dangerous bacteria.They sampled watches worn by physicians, physician assistants, and medical students at a teaching hospital in New York. Nearly half (46.6%) of the watches tested harbored microorganisms that can cause illness. By comparison, only one of the 10 watches worn by security guards tested positive for a disease-carrying microorganism. The researchers want to determine if the difference is statistically significant.Which of the following is an appropriate statement of the null hypothesis, H0?A. The proportion of contaminated wrist-watches from medical personnel is the same as the proportion of contaminated wrist-watches from security guards, i.e., H0: p = 46.6%.B. The proportion of contaminated wrist-watches from medical personnel is not the same as the proportion of contaminated wrist-watches from security guards, i.e., H0: p not equal 46.6%.C. The proportion of contaminated wrist-watches from medical personnel is greater than the proportion of contaminated wrist-watches from security guards, i.e., H0: p > 46.6%.
An appropriate statement of the null hypothesis, H₀ is that: A. The proportion of contaminated wrist-watches from medical personnel is the same as the proportion of contaminated wrist-watches from security guards, i.e., H0: p = 46.6%.
What is a null hypothesis?In Mathematics, a null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (Ha) and it asserts that two (2) possibilities are the same.
For an experiment to test the contamination of medical personnel wrist-watches at a New York hospital, the appropriate null hypothesis and alternative hypothesis would be given by this mathematical expression:
H₀: p = 10.
Ha: p < 10.
In this context, we can logically that the proportion of contaminated wrist-watches would be the same for both sample proportion i.e., H₀: p = 46.6%.
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simplify -5/8 (- 3/8 -14)
Answer:
575/64
Step-by-step explanation:
-5/8(-3/8-14)
15/64+70/8
15/64+560/64
575/64
A quantity changes according to the function f(t) = 9400(1.05), where t is time,
in years. What is the percent change of the function per year?
The main answer to the question is that the percent change of the function per year is 5%.
The function f(t) = 9400(1.05) represents the quantity changing by a factor of 1.05 each year, since the variable t represents time in years. To find the percent change per year, we can subtract 1 from 1.05 to get 0.05, which represents a 5% increase from the original quantity each year. Therefore, the percent change of the function per year is 5%.
What is the percent change of the function f(t) = 9400(1.05)^t per year?
The percent change of the function per year is 5%.
The function f(t) = 9400(1.05)^t represents an exponential growth, where 9400 is the initial value, and 1.05 is the growth factor. To find the percent change per year, we look at the growth factor. Since 1.05 is the growth factor, this means that the quantity is increasing by 5% per year (0.05 as a decimal, which is equivalent to 5%).
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What are the zeros of the function h (x) = x² + 3x - 8?
A
x = -8 and x = -2
OB
x= -8 and x = 2
cx = -2 and x = 8
OD x = 2 and x = 8
The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.
Describe functions.Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.
The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.
By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.
h(x) = x² + 3x - 8 = 0
We may factor the left side of the equation to find x:
x² + 3x - 8 = (x-2)(x+4) = 0
We set each factor to zero and solve for x to discover the zeroes:
x-2 = 0 or x+4 = 0
x = 2 or x = -4
Consequently, the function's zeros are x = 2 and x = -4.
So, A is the right response. x = -4 and x = 2
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The complete question is
What are the zeros of the function h (x) = x² + 3x - 8?
A. x = -4 and x = -2
B. x= -8 and x = 2
C. x = -2 and x = 8
D. x = 2 and x = 8
True or false: one factor that affects the slope of the aggregate demand curve is the multiplier effect.
One factor that affects the slope of the aggregate demand curve is the multiplier effect is a "true" statement.
What is aggregate demand curve?Aggregate demand would be a macroeconomic term which refers to the total consumption of goods and services in a given period at any price level.
Some key features regarding the aggregate demand curve?
Since the two metrics are estimated in the same way, aggregate demand over time corresponds gross domestic product (GDP). GDP is the total quantity of products and services created by an economy, whereas aggregate demand is indeed the desire or demand for those goods. The aggregate demand as well as GDP rise or fall together as a result of using the same calculation methods. All consumer goods, capital equipment (factories & equipment), export markets, imports, & government spending programs are included in aggregate demand. As long as the variables trade for the same market value, they are all considered equal.To know more about the aggregate demand curve, here
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Find the DIAMETER of a circle for the circumference given.
circumference = 34.6 m
A) 2.3 m
C) 11 m
B) 5.5 m
D) 6.5 m
Step-by-step explanation:
2 pi r = 34.6
2 r = 34.6/3.14
d = 11 m
Diameter be d
Circumference=πdπd=34.6d=34.6/πd=11mspot's doghouse has a regular hexagonal base that measures one yard on each side. he is tethered to a vertex with a two-yard rope. what is the area, in square yards, of the region outside of the doghouse that spot can reach?
We can clearly see that the area must be more than \($\frac{8 \pi}{3}$\), and the only such answer is \(3 \pi\).
Part of what Spot can reach is \($\frac{240}{360}=\frac{2}{3}$\) of a circle with radius 2, which gives him \($\frac{8 \pi}{3}$\). He can also reach two\($\frac{60}{360}$\)parts of a unit circle, which combines to give \($\frac{\pi}{3}$\). The total area is then \($3 \pi$\).
A circle is a two-dimensional closed shape in which the set of all points in the plane is equidistant from a particular point known as the "centre."
A Sphere is a three-dimensional object, whereas a Circle is a two-dimensional figure. All points in a circle are the same distance from its center along a plane, whereas all points in a sphere are equidistant from the center along any of the axes.
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Data were collected on the following viables. Which variable is LEAST likely to be approximated with a normal model? The distribution of heights of tomato plants growing at an agncultural Center, where most heights cluster around the center and there are some very short and very tail heights The distribution of times that a certain brand of house paint lasts on a house where the distribution is symmetric and bell-shaped The distribution of lengths of the trout living in a certain roam where the dist tion is unimodal and clustered around the center and the left hair is a mirror image of the night hall The distribution of weighs of mold samples growing in a laboratory where the distribution is symmetric, un model and does not have any outliers . E ) The distribution of ages in years of the residents of a town where the tail of the distribution is longer than the left
The distribution of heights of tomato plants growing at an agricultural center is the least likely to be approximated with a normal model.
The variable that is least likely to be approximated with a normal model is the distribution of heights of tomato plants growing at an agricultural center, where most heights cluster around the center and there are some very short and very tall heights.
A normal distribution assumes that the data follows a symmetric, bell-shaped pattern.
However, in the case of tomato plant heights described, the distribution is not symmetric and does not exhibit a bell-shaped pattern. Instead, it has a cluster around the center with some very short and very tall heights, indicating a skewed distribution.
The other options mentioned in the question, such as the distribution of times that a certain brand of house paint lasts, the distribution of lengths of trout, the distribution of weights of mold samples, and the distribution of ages of residents in a town,
all exhibit characteristics that are more likely to be approximated with a normal model, as they either display symmetric, unimodal patterns or have no outliers. Therefore, the distribution of heights of tomato plants growing at an agricultural center is the least likely to be approximated with a normal model.
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Need help with this please
Answer:
450
Step-by-step explanation:
base times height is the formula so 75x12
can someone please give me an answer for this
Answer:
it needed your to focus on school work , homework and work hard to make yourself feel ready
write a recrusive rule for the exponential function
f(x)=0.25(2/3)^x
Answer:
f(0) = 0.25 = 1/4
f(x) = f(x-1) × 2/3
Step-by-step explanation:
a0 = 0.25×(2/3)⁰ = 0.25×1 = 0.25 = 1/4
a1 = 0.25×(2/3)¹ = 0.25×(2/3) = 1/4 × 2/3 = 2/12 = 1/6 =
= a0 × 2/3
a2 = 0.25×(2/3)² = 0.25×(4/9) = 1/4 × 4/9 = 4/36 = 1/9 =
= a1 × 2/3
=>
an = an-1 × 2/3, n >= 1
but what about negative x ?
is a0 = a-1 × 2/3 ?
\(a - 1 = 0.25 \times {(2 \div 3)}^{ - 1} \)
so, yes, a0 = a-1 × (2/3)
and a-1 = a-2 × (2/3)
...
a variable with a value of x1x2 is added to the general linear regression model to account for two predictive variables, x1 and x2 and the effect on the response variable. this type of effect is called
The given type of effect is called predictive.
What is linear regression?
When predicting a variable's value based on the value of another variable, linear regression analysis is used. The dependent variable is the one you're trying to forecast. The independent variable is the one that you are utilizing to forecast the value of the other variable.
Given:
A variable with a value of x1 x2 is added to the general linear regression model to account for two predictive variables, x1 and x2 and the effect on the response variable.
Linear regression is one of the most generally utilized predictive displaying methods.
It is spoken to by a condition = + + , where an is the catch, b is the slant of the line and e is the blunder term.
This condition can be utilized to predict the estimation of an objective variable dependent on a given predictor variable(s).
The predictor variable is the name given to an autonomous variable utilized in regression examinations.
The predictor variable gives data on a related ward variable concerning a specific result.
Hence, the given type of effect is called predictive.
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