The method of altering a graph to produce a different version of the one that came before is known as graph transformation. The graphs are movable in the x-y plane and can be translated. Along with these modifications, they can also be stretched.
Horizontal stretching
Vertical stretching
Vertical translation
Horizontal translation
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A food tank has 3600 boxes of food. The boxes will be loaded equally into 60 trucks. How many boxes of food will be on each truck? Please in in a rush (19 points) please anyone!! I just need a equation.
Answer:
x = 60
Step-by-step explanation:
Discussion
You have 3600 boxes and 60 trucks
The formula you want is
Total Boxes = Number of trucks * number of boxes per truck.
Givens
Total boxes = 3600
Total trucks = 60
Solution
3600 = 60 * x Divide by 60
3600/60 = 60x/60
x = 60
А7. Given mKJM = 170°, find the value of x.Rк(13x-2) L(6X+1)M
7.
From the diagram, we can conclude:
\(\begin{gathered} m\angle KJM=m\angle KJL+m\angle LJM \\ where \\ m\angle KJM=170 \\ m\angle KJL=13x-2 \\ m\angle LJM=6x+1 \end{gathered}\)Therefore:
\(170=13x-2+6x+1\)Add like terms:
\(170=19x-1\)Solve for x:
\(\begin{gathered} 170+1=19x \\ 19x=171 \\ x=\frac{171}{19} \\ x=9 \end{gathered}\)----------------------------------------------------------------------------------------------
8-9
From the diagram we can conclude:
\(\begin{gathered} m\angle SRT=m\angle PRQ \\ m\angle PRS=m\angle QRT=100 \\ m\angle PRS+m\angle QRT+m\angle SRT+m\angle PRQ=360 \\ so\colon \\ 100+100+2m\angle SRT=360 \\ 2m\angle SRT=360-200 \\ 2m\angle SRT=160 \\ m\angle SRT=\frac{160}{2} \\ m\angle SRT=80 \end{gathered}\)So:
\(\begin{gathered} m\angle RPQ+m\angle PQR+m\angle PRQ=180 \\ m\angle RPQ+80+60=180 \\ m\angle RPQ=180-140 \\ m\angle RPQ=40 \end{gathered}\)Therefore:
\(\begin{gathered} m\angle RPQ=40 \\ m\angle PRS=100 \end{gathered}\)(T+10.5) + 2t + 90 = 180
Answer:
x = 26.5
Step-by-step explanation:
Step 1: Write equation
(t + 10.5) + 2t + 90 = 180
Step 2: Solve for t
Combine like terms: 3t + 100.5 = 180
Subtract 100.5 on both sides: 3t = 79.5
Divide both sides by 3: t = 26.5
Step 3: Check
Plug in x to verify it's a solution.
Substitute: (26.5 + 10.5) + 2(26.5) + 90 = 180
Parenthesis: 37 + 56 + 90 = 180
Add: 180 = 180
∴ x = 26.5
it's 11 that grade, please help me I'm stuck
Answer:
Limit \($\lim_{x \to 0} f(x)$\) does not exist.
Step-by-step explanation:
To calculate left hand limit, we use a value slightly lesser than that of 0.
To calculate right hand limit, we use a value slightly greater than that of 0.
Let h be a very small value.
Left hand limit will be calculate at 0-h
Right hand limit will be calculate at 0+h
First of all, let us have a look at the value of f(0-h) and f(0+h)
\(f(0-h)=f(-h) = \dfrac{-h}{|-h|}\\\Rightarrow \dfrac{-h}{h} = -1\)
\(f(0-h)=-1 ....... (1)\)
\(f(0+h)=f(h) = \dfrac{h}{|h|}\\\Rightarrow \dfrac{h}{h} = 1\)
\(f(0+h)=1 ....... (2)\)
Now, left hand limit:
\($\lim_{x \to 0^{-} } f(x)$\\\) = \($\lim_{h \to 0} f(0-h)$\)
\(\Rightarrow\) \($\lim_{h \to 0} f(-h)$\)
Using equation (1):
\($\lim_{x \to 0^{-} } f(x)$\\\) = -1
Now, Right hand limit:
\($\lim_{x \to 0^{+} } f(x)$\\\) = \($\lim_{h \to 0} f(0+h)$\)
\(\Rightarrow\) \($\lim_{h \to 0} f(h)$\)
Using equation (2):
\($\lim_{x \to 0^{-} } f(x)$\\\) = 1
Since Left Hand Limit \(\neq\) Right Hand Limit
So, the answer is:
Limit \($\lim_{x \to 0} f(x)$\) does not exist.
Dora rents a party room for $70. She pays $5 per guest for
party favors. The expression 70+5g represents the total
cost for a party with g guests. Find the total cost for a party
with 9 guests.
Answer: $115
Step-by-step explanation:
From the question, we are informed that the expression that represents the total cost for a party with g guests was given as:
= 70 + 5g
Therefore, the total cost for a party
with 9 guests will be:
= 70 + 5g
= 70 + 5(9)
= 70 + 45
= $115
Please help! Answers only please! Thx!
Answer:
2 cups
Step-by-step explanation:
Dylan compares the volumes of two bottles. What is Dylan’s error?
Dylan's error shows in his comparison of the volumes of the two bottles with similar dimensions but different volumes.
What is the volume of an object?The volume of a rectangular object (Bottle A) is given as the product of the height, width, and length.
The volume of a rectangle = h × w × l
Height = 9 inches
Width = 4 inches
Length = 4 inches
The Volume = 144 inch³ (9 × 4 × 4)
The volume of a cylindrical object (Bottle B) is given as the product of the radius squared, height, and pi.
The volume of a cylinder = πr²h
or πdh
Where π is pi or 3.14 (22 ÷ 7)
r = radius
d = diameter
h = height
Diameter of the circle = 4 inches
Radius = 2 inches (4 ÷ 2)
Height = 9 inches
Volume = 3.14 × 2² × 9
= 113.04 cubic inches
or 3.14 × 4 × 9
= 113.04 inch³
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Answer:
The bottles have the same height and different cross-sectional areas.
The cross-sectional area of the square prism is 16.00 in², and the cross-sectional area of the cylinder is 12.56 in².
Step-by-step explanation:
Just did it
is (4+x)+3 equivalent to x(4+3)
Answer:
No
Step-by-step explanation:
Which unit would you use to measure the length of a soccer field?
mm
cm
m
km
Answer:
"km" is used to measure the length of the soccer field.
Step-by-step explanation:
There are so many units to measure the length of an object. We wish to tell that out of 4 units in the given options, which will we use to measure the length of a soccer field.Out of 4 options, mm is smallest unit while km is the biggest unit.A soccer field is big in size, it means that km is used t measure the length of a soccer field.So, the correct option is (d) "km".what is the solutions to the system of equations? written in plot form
y=1.5x-4
y=-x
Answer:
The solution to the equation is (1.6, -1.6)
Step-by-step explanation:
When you plot the equations on a graph, they intecept at 1.6 and -1.6.
The twice-differentiable function f is defined for all real numbers and satisfies the following conditions: f(0)- -2, f'(0) -3, f"(0)1. f(o),f'(O) 3, f" (0)-1 A. The function g is given by g(x) = tan(ax) +f(x) for all real numbers, where a is a constant. Find g'(0) and g"(O) in terms of a.
g'(0) = a - 3 and g''(0) = 1.
The function g is given by g(x) = tan(ax) + f(x) for all real numbers, where a is a constant. We are supposed to find g'(0) and g"(0) in terms of a.
To solve this question, we need to use the derivatives of the function g.Using the derivative rule of the sum of two functions, we can find the first derivative of g as follows:g(x) = tan(ax) + f(x)g'(x) = tan'(ax) + f'(x)g'(x) = a sec²(ax) + f'(x)At x = 0,g'(0) = a sec²(0) + f'(0) = a(1) + (-3) = a - 3
Therefore, g'(0) = a - 3In order to find the second derivative of g, we need to use the derivative rule for the sum of two functions once again. We get:g(x) = tan(ax) + f(x)g''(x) = (tan'(ax) + f'(x))'g''(x) = (a sec²(ax) + f'(x))'g''(x) = a sec²(ax)(2a tan(ax)) + f''(x)g''(x) = 2a² tan(ax) sec²(ax) + f''(x)At x = 0,g''(0) = 2a² tan(0) sec²(0) + f''(0) = 0 + 1 = 1Therefore, g''(0) = 1
Therefore, g'(0) = a - 3 and g''(0) = 1.
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Construct a 90% confidence interval for (p1−p2) in each of the following situations. a. n1=400;p^1=0.67;n2=400;p^2=0.55 b. n1=180;p^1=0.33;n2=250;p^2=0.24. c. n1=100;p^1=0.47;n2=120;p^2=0.61. a. The 90% confidence interval for (p1−p2) is (.064,176). (Round to the nearest thousandth as needed.) b. The 90% confidence interval for (p1−p2) is । 163) (Round to the nearest thousandth as needed.) c. The 90% confidence interval for (p1−p2) is । ). (Round to the nearest thousandth as needed.)
The 90% confidence intervals for (\(p_1 - p_2\)) in each of the given situations are as follows: a. (0.064, 0.176), b. (0.163, 0.413), and c. (-0.123, 0.313). These intervals provide an estimate of the likely range for the difference in proportions (\(p_1 - p_2\)) with a 90% confidence level in each respective situation.
To construct a 90% confidence interval for the difference in proportions (p1 - p2) in each of the given situations, we can use the formula:
\((p_1 - p_2) \pm Z * \sqrt{(p_1 * (1 - p_1) / n_1) + (p_2 * (1 - p_2) / n_2)}\)
where \(p_1\) and \(p_2\) are the sample proportions, \(n_1\) and \(n_2\) are the sample sizes, and Z is the critical value corresponding to the desired confidence level.
For situation a, with \(n_1 = 400\), \(p^1 = 0.67\), \(n2 = 400\), and \(p^2 = 0.55\), plugging the values into the formula, we obtain a confidence interval of (0.064, 0.176).
For situation b, with \(n_1 = 180\), \(p^1 = 0.33\), \(n_2 = 250\), and \(p^2 = 0.24\), plugging the values into the formula, we obtain a confidence interval of (0.163, 0.413).
For situation c, with \(n_1 = 100\), \(p^1 = 0.47\), \(n_2 = 120\), and \(p^2 = 0.61\), plugging the values into the formula, we obtain a confidence interval of (-0.123, 0.313).
These confidence intervals provide an estimate of the range within which the true difference in proportions (\(p_1 - p_2\)) is likely to fall with a 90% confidence level.
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The given polygon is a right, scalene triangle. Use a congruent triangle to form a quadrilateral. A scalene triangle. The side lengths are 5 and 9, and the hypotenuse length is unknown. Imagine using two of these triangles to construct a figure. What are the characteristics of the figure? Select all that apply.
It’s a rectangle.
Opposite sides are congruent.
All sides are congruent.
Opposite sides are parallel.
All angles are right angles.
Answer:
Sorry I know that im late responding but better late then never
Step-by-step explanation:
A: It’s a rectangle.
B: Opposite sides are congruent.
D: Opposite sides are parallel.
E: All angles are right angles.
In shorter words the answer is
A, B, D, E.
You are welcome :D
The characteristics of Quadrilateral
It’s a rectangle.Opposite sides are congruent.Opposite sides are parallel.All angles are right angles.What are Properties of Rectangle?A quadrilateral is a rectangle.The two opposite sides are parallel and equal.Each inside angle measures 90 degrees.The total of all interior angles is 360 degrees.The diagonals cut each other in half.Given:
The hypotenuse can be act as diagonal of Quadrilateral.
So, The side lengths are 5 and 9 then the other two sides will have same measurement.
This shows that the opposite side of the quadrilateral are equal.
So, the characteristics of Quadrilateral
It’s a rectangle.
Opposite sides are congruent.
Opposite sides are parallel.
All angles are right angles.
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Which number comes first when the numbers are listed from least tò greatest?
Answer:
the least
Step-by-step explanation:
Answer:
-∞
Step-by-step explanation:
Negative numbers are the smallest on the number line. Since the number range is not specified -∞ would be a preferred answer.
Draw a parallelogram with a base of 3cm and a height of 7cm and how to calculate its area?
The area is determined by adding the base and the height.
Parallelogram:
A simple (non-self-intersecting) quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.
A parallelogram is a shape with four equal sides that are parallel to one another. A parallelogram's area is determined by multiplying its base by its height. Given that the height is 7 cm and the base is 3 cm, the area would be as follows:
The area is equal to the sum of a base and a height.
Size is 21 cm2
The parallelogram with the specified base and height is shown in the following diagram:
_________
| |
| |
| |
-----------
3cm 7cm
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The area is equal to height×base.
height =7cm and base = 3 cm
Area= 21 cm2
A simple (non-self-intersecting) quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.
A parallelogram is a shape with four equal sides that are parallel to one another. A parallelogram's area is determined by multiplying its base by its height. Given that the height is 7 cm and the base is 3 cm, the area would be as follows:
The area is equal to height×base.
height =7cm and base = 3 cm
Area= 21 cm2
The parallelogram with the specified base and height is shown in the following diagram:
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The graph shows the number yy of gallons of gasoline remaining in a car xx hours after filling the tank. a. The slope indicates that the car uses gallons of gasoline per hour. b. The y-intercept indicates that the car has gallons of gasoline after filling the tank. c. The x-intercept indicates that the car will run out of gasoline after hours.
The required slope, y-intercept, and x-intercept are -2.5, 15, and 7.5 respectively.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
here,
Locate two points on the graph,
(0, 15) and (7.5, 0)
The slope is given as,
m = -15/7.5
m = -2.5
The slope of the graph represents the rate of fuel i.e. 2.5 gallons per hour.
Now,
y-intercept from the graph is 15, and the x-intercept in the graph is 7.5, which represents the amount of fuel initally in the car, and in 7.5 hours no fuel will be left respectively.
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Round 45.2807 to two significant figures
Kelvin made 12 blueberry muffins for the bake sale he puts 6 muffins in the box how boxes does kelvin math
Answer:
2 your welcome and I play overwatch
Approximate the area A under the graph of function f from a to b for n 4 and n 8 subintervals. /(x)= sin x on [0, π] (a) By using lower sums sn (rectangles that lie below the graph of f) (b) By using upper sums Sn (rectangles that lie above the graph of f S8 =
To approximate the area under the graph of the function f(x) = sin(x) on the interval [0, π], we can use lower sums and upper sums with different numbers of subintervals.
(a) Lower sums: To calculate the area using lower sums, we divide the interval [0, π] into n subintervals of equal width and construct rectangles below the graph of f(x). The height of each rectangle is taken as the minimum value of f(x) within that subinterval. As n increases, the approximation improves.
For n = 4 subintervals, the width of each subinterval is (π - 0)/4 = π/4. The heights of the rectangles are sin(0), sin(π/4), sin(π/2), and sin(3π/4). The sum of the areas of these rectangles gives the approximate area under the graph of f(x) using lower sums.
(b) Upper sums: Similar to lower sums, upper sums involve constructing rectangles above the graph of f(x) using the maximum value of f(x) within each subinterval.
For n = 8 subintervals, the width of each subinterval is (π - 0)/8 = π/8. The heights of the rectangles are sin(0), sin(π/8), sin(π/4), ..., sin(7π/8). The sum of the areas of these rectangles gives the approximate area under the graph of f(x) using upper sums.
To calculate the specific value for S8, you would evaluate sin(0) + sin(π/8) + sin(π/4) + ... + sin(7π/8).
Note: The numerical values for the approximate areas can be calculated by evaluating the sums and may vary depending on the level of precision desired.
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Hi can anyone help me with question 1 and 3
Answer:
292 and 2092
Step-by-step explanation:
Surface area:
Wall 1: 40 x 3 = 120m^2
Wall2: 40 x 3 = 120m^2
Wall 3: 15 x 3 = 45m^2
Wall 4: 15 x 3 = 45m^2
Ceiling: 15 x 40 = 600m^2
Total : 240 + 600 + 90 = 730
So, cost of painting = 730/25 x 10 = 29.2 x 10 = 292
Total: 292 + 1800 = 2092
The total cost of paint would be 2092 dollars.
The area of the cuboid is the sum of product of the length, breadth of the given prism.
Surface area:
Wall 1: 40 x 3 = 120m^2
Wall2: 40 x 3 = 120m^2
Wall 3: 15 x 3 = 45m^2
Wall 4: 15 x 3 = 45m^2
Ceiling: 15 x 40 = 600m^2
The Total area: 240 + 600 + 90 = 730
So, The cost of painting = 730/25 x 10
= 29.2 x 10
= 292
Total: 292 + 1800 = 2092
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Javier tiene 25 años mas que Pedro y dentro de 6 años tendra el doble de la edad de Pedro. Encuentre ambas edades
Usando un sistema de ecuaciones, se encuentra que
Javier tiene 44 años.Pedro tiene 19 años.-----------------
Esta pregunta se resuelve mediante un sistema de ecuaciones. La edad de Javier es x.La edad de Pedro es y.-----------------
Javier tiene 25 años mas que Pedro, o sea, \(x = y + 25\)En 6 años, tendra el doble, o sea, \(x + 6 = 2(y + 6)\)-----------------
Primero, encontramos la edad de Pedro, reemplazando la primera ecuación en la segunda
\(x + 6 = 2(y + 6)\)
\(y + 25 + 6 = 2y + 12\)
\(y + 31 = 2y + 12\)
\(2y - y = 31 - 12\)
\(y = 19\)
Pedro tiene 19 años.
-----------------
Quanto a Javier:
\(x = y + 25 = 19 + 25 = 44\)
Javier tiene 44 años.
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One winter day, the temperature was -15°F. Later that day, the temperature rose 12°F to reach the high temperature for the day. If t represents the high temperature, what is t?
A. 27°F
B. 3°F
C. -3°F
D. -27°F
Answer:
-27
Step-by-step explanation:
because you sabbtract -15 -12=-27
Answer:
C. -3°F
Step-by-step explanation:
Part of the population of 7,000 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 7 of them are infected. How many elk are likely to be infected?
Answer:
620
Explanation:
When the sample is given, the number of elk are likely to be infected is to be considered as the 620.
Calculation of the number of elk:
Since the population is 7,750.
The random sample is 50.
So here be like
= 620
hence, When the sample is given, the number of elk are likely to be infected is to be considered as the 620.
__________ typically are used to display continuous measures.
The histograms typically are used to display continuous measures.
Charts TypesThere are different types of charts: histogram, line chart, pie chart, and others.
The histogram is a type of chart used as a tool that provides a way to assess the distribution of data. From this type of chart, a set of data are previously tabulated and divided into classes. In the other words, the histogram is applied to summarize discrete or continuous measures, so it becomes more easily the understand the used data. There are many websites and software that allow the plot of this type of chart.
From the explanation, it is possible to identify the histograms typically are used to display continuous measures.
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Question 1: 10 pts
A triangle has a base length of 2ac² and a height 6 centimeters more than the base
length. Find the area of the triangle if a = 4 and c = 2.
608 cm²
224 cm²
1,216 cm²
576 cm²
Question
An account earns simple interest.
$700 at 8% for 6 years
a. Find the interest earned.
$
b. Find the balance of the account.
$
Answer:
1036. this is easy.
Step-by-step explanation:
700 * 0.08 = 56
56 * 6 = 336.
700 + 336 = 1036.
look at photo that is added
how can confidence intervals help researchers attain their purpose of using a sample to understand a population?
The reason for why the confidence intervals help researchers attain their purpose of using a sample to understand a population is given below .
In the question ,
we have been asked how does the confidence interval help researchers to attain the purpose of using a sample to understand a population ,
we know that , the confidence interval is calculated from an estimate of how far away our sample mean is from actual population mean .
the confidence interval are useful because ,
(i) by calculating the confidence intervals around any data we collect, we have additional information about the likely values we are trying to estimate .
(ii) they make data analyses richer and help us to make more informed decisions about the research questions .
Therefore , the reason how confidence interval helps is mentioned above.
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The area of the triangle below is 29.04 square meters. What is the length of the base?
Therefore the base of the triangle is 8 centimeters.
How to find the base of the triangle?The area of the triangle is calculated by using the formula listed below,
Area of the triangle = \(\frac{1}{2} * base * height\)
From the given data area = 28.8 square centimeters
Height = 7.2 centimeters
Therefore to find the base,
\(28.8 = \frac{1}{2} * base * 7.2\)
base = \(\frac{28.8 * 2}{7.2}\)
base = 8 centimeters
Therefore the base of the triangle is 8 centimeters.
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Complete question:
The area of the triangle below is 28.8 square centimeters What is the length of the base? 7.2 cm
In the coordinate plane, which of the following functions dilates by a factor of 3
about the point (9, 6)?
A. (, ) = (3 + 9, 3 +6)
B. (, ) = (3( + 9), 3( + 6))
C. (, ) = (9+ 3( − 9), 6 + 3( −6))
D. (, ) = (9+ 3(9− ), 6+ 3(6 − ))