Answer:
1. Given
2. Distributive Property
3. Addition Pproperty of Equality
4.Subtraction property of equality
5. Divison Property of Equality
Step-by-step explanation:
For #2, you distribute the 4 to z and 4. You also distribute 2 to 44 and -z.
For #3, you add 2z to both sides.
For #4, you minus 16 on both sides.
For #5 , you divide 6z by 6 to isolate the z and then do 72 by 6 to get the final answer
Hope this helps
The diagram shows a sketch of the curve y = cos x°
a) Write down the coordinates of the point P.
b) Write down the coordinates of the point Q.
a) The coordinates of the point P is ( π, -1), b. The coordinates of the point Q is (3π/2, 0).
Describe Curve function?In mathematics, a curve is a continuous and smooth line that can be represented by a mathematical function. A curve function is simply a mathematical equation or formula that defines a curve.
For example, the function y = x² defines a parabolic curve that opens upwards, while the function y = sin(x) defines a periodic curve that oscillates between -1 and 1.
Curves can be represented in various ways, such as graphs, equations, and parametric equations. The graph of a curve is a visual representation of the curve on a coordinate plane, where the x-axis represents the horizontal axis and the y-axis represents the vertical axis. The equation of a curve can be used to find the y-coordinate of any point on the curve given its x-coordinate. Parametric equations, on the other hand, define the curve in terms of a set of parameter values, which can be used to determine the x- and y-coordinates of any point on the curve.
Given:
Graph of y= cosx°
To find: Coordinates of point P and Q
Solution:
y= cosx
= coordinates of P( π, -1)
= coordinates of Q(3π/2, 0)
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Use the Shell Method to find the volume of the solid obtained by rotating region A in the figure about the x-axis. yx2b A b 0 Assume b = 1 and a = 2. (Give an exact answer. Use symbolic notation and fractions where needed.)
To find the volume of the solid obtained by rotating region A, which is bounded by the curves y = x^2, y = b, and the y-axis, about the x-axis, we can use the Shell Method. With the given values of b = 1 and a = 2, the integral for the volume is V = ∫(2πx)(b - x^2) dx, where x ranges from 0 to a.
The Shell Method is a technique used to calculate the volume of a solid of revolution by integrating the surface area of cylindrical shells. In this case, we want to find the volume of the solid obtained by rotating region A about the x-axis.
Region A is bounded by the curves y = x^2, y = b (where b = 1), and the y-axis. The bounds for x are from 0 to a, where a = 2.
To apply the Shell Method, we consider an infinitesimally thin cylindrical shell with height (b - x^2) and radius x. The volume of each shell is given by the surface area of the shell multiplied by its thickness and height. The surface area of the shell is given by 2πx.
By integrating the volume of each shell with respect to x over the interval [0, 2], we obtain the integral ∫(2πx)(b - x^2) dx.
Evaluating this integral will give us the exact volume of the solid obtained by rotating region A about the x-axis.
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For the following distribution; what is the highest score? [2 pts] 20-25 15-19 10-14 5-9 4) a) 22 b) 20 c) 25 d) Cannot be determined
The highest score for the given distribution is 25.
This is because the distribution is divided into ranges, with the first range being 20-25, the second range being 15-19, the third range being 10-14, and the fourth range being 5-9.
The highest score in each range is the number on the right side of the dash.
Therefore, the highest score in the first range is 25, the highest score in the second range is 19, the highest score in the third range is 14, and the highest score in the fourth range is 9.
Since 25 is the highest score among all of the ranges, it is the highest score for the entire distribution.
The correct answer is c) 25.
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chapter 17 review questions how does a b-tree differ from a b -tree? why is a b -tree usually preferred as an access structure to a data file?
The difference in b-tree and b +tree, b -tree is a self balancing tree data structure that maintains sorted data and b +tree is a modified version of b -tree.
b -tree is used to sort the data with various pieces facilities such as insertion ,deletion and search etc whereas b +tree is a modified version of b -tree providing all the functions smoothly and quickly .
In b -tree, both internal nodes and leaf nodes are used to store records and keys whereas in b +tree keys are stored in internal nodes whereas records are storing leaf nodes
In b +tree, no duplication is allowed but in b +tree duplication may occur
A b +tree usually preferred as an access structure to a data file as as the height of the tree remains balanced and less as compared to b -tree . We can assess the data stored in b +tree sequentially as well as directly . keys are used for indexing . Faster search queries as the data is stored only on a leaf nodes.
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The graph shows the function that defines the shape of a piece of playground equipment.
If both the x-axis and y-axis are measured in feet and the x-axis represents the ground, what is the width of the base of the piece of equipment?
8 ft
10 ft
16 ft
20 ft
Answer:
The answer was C. 16ft on Edge 2022.
Step-by-step explanation:
Just think of Y as the height of the graph and X as the width.
With this in mind, it asks what's the length of the base of the graph.
In this case, the answer would be 16 since it goes from 0 or the origin to 16 on the X-axis.
Hence, the answer is C. 16ft.
A square pyramid has a base with a side length
of 8 feet and lateral faces with heights of 6 feet.
What is the lateral area of the pyramid?
Answer:
160.
Step-by-step explanation:
The area of the base is 64 since each side is 8, 8x8 is equal to 64. Then you have the lateral faces with a length of 8, and a height of 6, which is 48, but since they are triangles, you divide by 2, finally add 24+24+24+24+64 and your final answer is 160.
Karim is driving his car at a constant speed. At 11:00 A.M., the mileage reader is 66,750 miles. At 3:00 P.M., the mileage reader is 67,015 miles.
What is his speed in miles per
hour? Explain.
Answer:
His speed is 66.25 miles/hour
Step-by-step explanation:
The rule of the constant speed is:
Speed = Distance ÷ Time
∵ Karim starts his journey at 11:00 a.m. and finishes at 3:00 p.m.
→ Count the hours from 11: 00 a.m. to 3:00 p.m.
∴ He takes 4 hours ⇒ (3 + 12 - 11)
∴ T = 4 hours
∵ The mileage reader is 66,750 miles at 11:00 a.m.
∵ The mileage reader is 67,015 miles at 3:00 p.m.
→ The distance that Karim is driving = the difference between them
∴ The distance that karim is driving = 67,015 - 66,750
∴ D = 265 miles
→ Substitute the values of D and T in the rule above
∵ S = 265 ÷ 4
∴ S = 66.25 miles/hour
∴ His speed is 66.25 miles/hour
Rearrange the parallelogram as a rectangle. Then find the area.
The area of the rectangle is 9 square units
How to determine the area of the rectangleFirst, we need to know the properties of a rectangle. They are;
A rectangle is a quadrilateralThe opposite sides are parallel and equal to each otherEach interior angle is equal to 90 degreesThe sum of all the interior angles is equal to 360 degreesThe diagonals bisect each otherBoth the diagonals have the same lengthFrom the diagram shown, we have that;
Length of the transformed shape(parallelogram to rectangle) = 3 units
Width = 3 units
The formula for the area of a rectangle is expressed as;
Area = lw
Substitute the values
Area = 3(3)
Area = 9 square units
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help help i need to get good grades answer correctly please
Answer:
the tringale has 3 lines of symmetry
A boat is heading towards a lighthouse, where Yaritza is watching from a vertical distance of 139 feet above the water. Yaritza measures an angle of depression to the boat at point AA to be 21^{\circ}
∘
. At some later time, Yaritza takes another measurement and finds the angle of depression to the boat (now at point BB) to be 50^{\circ}
∘
. Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.
The distance from an angle of depression to the boat at 21° to angle of depression of 50° is 112 feet
How to determine the required distanceInformation from the question
A boat is heading towards a lighthouse, where Yaritza is watching from a vertical distance of 139 feet
Yaritza measures an angle of depression to the boat at point AA to be 21°
Yaritza takes another measurement and finds the angle of depression to the boat (now at point BB) to be 50°
the distance from point AA to point BB = ?
The direction of movements describes a right triangle of
opposite = ?
adjacent = 139 feet
The distance is calculated using tan, TOA let the angle be x
tan x = Opposite / Adjacent
for x = 21 point AA is solved
tan 21 = ? / 139
? = 139 * tan 21
? = 53.357
for x = 50 point BB is solved
? = 139 * tan 50
? = 165.654
the distance from point AA to point BB
= 165.654 - 53.357
= 112.297
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49 7th graders and 35 8th graders show up at football tryouts choose a ratio that represents 7th to 8th graders at tryouts?
Answer:
7:5
Step-by-step explanation:
49/7 = 7 and 35/7 = 5
to get a ratio, divide both side by the same number that is a facttor for both.
Which statement describes the relationship between x
and y?
Does x increase while y decreases
Answer:
The answer you are looking for is as x increases, y decreases then increases
Step-by-step explanation:
the default constructor should initialize the width, height, and length of a rectangle to 0.
The default constructor initializes the width, height, and length of a rectangle to 0 in a single line.
To implement a default constructor that initializes the width, height, and length of a rectangle to 0, you can define the constructor in the class as follows:
class Rectangle {
private:
int width;
int height;
int length;
public:
Rectangle() {
width = 0;
height = 0;
length = 0;
}
};
In the above code, the class Rectangle is defined with three private member variables: width, height, and length. The default constructor Rectangle() is declared and defined within the class. Inside the default constructor, the width, height, and length are set to 0 using assignment statements.
By defining this default constructor, whenever you create an instance of the Rectangle class without providing any arguments, the width, height, and length will automatically be initialized to 0.
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Find m∠ABC. (2x+14) (x+7)
Answer:
A= 2
B=28
C=0
Step-by-step explanation:
ax2 + bx + c=0
Help please! I keep going down on ixl and I’ve been trying to do this ixl since yesterday so ima post a lot of these.
u can add lines to split the figure into a triangle and two rectangles.
Area of the figure
= (12x15)/2 + 6x4 + 2x5
=124 yd^2
Geometry homework very confusing
Answer:
Step-by-step explanation:
What is the solution to the following inequality below? 3 > fraction 11+x over 4 > -3 Side Note: The last > should have a solid line underneath it
Answer:
1 > x ≥ -23
Step-by-step explanation:
\(3>\dfrac{11+x}{4}\ge -3\\\\12>11+x\ge-12\qquad\text{multiply by 4}\\\\\boxed{1>x\ge-23}\qquad\text{subtract 11}\)
What is the total area?
Answer:
total=4.5+9=13.5
Step-by-step explanation:
0.5×3=1.5. 3×3=9
1.5×3=4.5 A=4.5. A=9. 4.5+9=13.5
F(x)=2x^2+16x-7 in vertex form
f(x) = 2 ( x² + 8x ) - 7
= 2 [(x + 4)² - 4²] - 7
= 2 (x + 4)² - 32 - 7
= 2 (x + 4)² - 39
(x+4)² = x² + 2*x*4 + 4² = x² + 8x + 4²
it's why
x² + 8x = (x + 4)² - 4²
Answer:
y=2(x+4)^2−39
Step-by-step explanation:
Based on my calculation that´s the answer :-)
the weight of the chocolate and Hershey Kisses are normally distributed with a mean of 4.5338 G and a standard deviation of 0.1039 G
a. For the bell-shaped graph Of the normal distribution of weights of Hershey kisses what is the area under the curve?
b. What is the value of the median?
c. What is the value of the mode?
d. What is the value of the variance?
For the bell-shaped graph of the normal distribution of weights of Hershey kisses, the area under the curve is 1, the value of the median and mode both is 4.5338 G and the value of variance is 0.0108.
In the given question,
The weight of the chocolate and Hershey Kisses are normally distributed with a mean of 4.5338 G and a standard deviation of 0.1039 G.
We have to find the answer of many question we solve the question one by one.
From the question;
Mean(μ) = 4.5338 G
Standard Deviation(σ) = 0.1039 G
(a) We have to find for the bell-shaped graph of the normal distribution of weights of Hershey kisses what is the area under the curve.
As we know that when the mean is 0 and a standard deviation is 1 then it is known as normal distribution.
So area under the bell shaped curve will be
\(\int\limits^{\infty}_{-\infty} {f(x)} \, dx\)= 1
This shows that that the total area of under the curve.
(b) We have to find the median.
In the normal distribution mean, median both are same. So the value of median equal to the value of mean.
As we know that the value of mean is 4.5338 G.
So the value of median is also 4.5338 G.
(c) We have to find the mode.
In the normal distribution mean, mode both are same. So the value of mode equal to the value of mean.
As we know that the value of mean is 4.5338 G.
So the value of mode is also 4.5338 G.
(d) we have to find the value of variance.
The value of variance is equal to the square of standard deviation.
So Variance = \((0.1039)^2\)
Variance = 0.0108
Hence, the value of variance is 0.0108.
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-\dfrac{16}{5},8,-20,− 5 16 ,8,−20,minus, start fraction, 16, divided by, 5, end fraction, comma, 8, comma, minus, 20, comma
Answer:
50
Step-by-step explanation:
Correct question
-16/5, 8, -20. What is the next term of the geometric sequence.
The nth term of a geometric sequence is expressed as:
Tn = ar^n-1
From the sequence:
a is the first term = -16/5
n is the number of term = 4(since next term is 4th term
r is the common ratio = (8)÷(-16/5) = 8×-5/16
r = -5/2
Substitute the given values into the formula
T4 = -16/5(-5/2)^4-1
T4 = -16/5(-5/2)³
T4 = -16/5×-125/8
T4 = -16/8×-125/5
T4 = -2×-25
T4 = 50
Hence the next term is 50
Answer:
Step-by-step explanation:
Classify the singularities of each function: 1- - COS Z i. f(z) = 2 ii. f(z)=- z - sin z 25 iii. f(z)=e²² iv. f(z)=- 1 (z-1)³ sin T TZ
it is important to verify these results by solving the equations or using numerical methods if necessary, as singularities can be challenging to determine analytically in some cases.
To classify the singularities of each function, we need to determine the nature of the singularities (if any) and classify them accordingly. Let's analyze each function:
i. f(z) = 2
In this case, f(z) is a constant function, so it has no singularities. It is analytic and well-defined throughout the complex plane.
ii. f(z) = -z - sin(z)
The singularity of this function occurs when the denominator becomes zero. In this case, we have a simple pole when z + sin(z) = 0. It is challenging to find the exact values of z that satisfy this equation analytically. However, we can use numerical methods or graphical analysis to locate the singularities. The singularities are isolated points in the complex plane where the function becomes infinite.
iii. f(z) = e²²
This function is a constant, and constants are always well-defined and do not have singularities. There are no singularities in this function.
iv. f(z) = -1(z - 1)³ sin(z) / z
The singularity of this function occurs when the denominator, z, becomes zero. Thus, we have a simple pole at z = 0. Additionally, we have another pole at z = 1 because the term (z - 1)³ in the numerator cancels the corresponding factor in the denominator. The function becomes infinite at these points, which are singularities.
To summarize:
i. f(z) = 2: No singularities.
ii. f(z) = -z - sin(z): Singularities at isolated points where z + sin(z) = 0.
iii. f(z) = e²²: No singularities.
iv. f(z) = -1(z - 1)³ sin(z) / z: Singularities at z = 0 and z = 1 (simple poles).
Remember, it is important to verify these results by solving the equations or using numerical methods if necessary, as singularities can be challenging to determine analytically in some cases.
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Can someone help me with this question!!
Answer:
(fg)(2)= -14
Step-by-step explanation:
(fg)(2) = (2²-11)(4-2)
= -7(2)
= -14
When data is positively skewed the mean will be?
Please help!!
Find the value of x
Answer:
x = 29 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opposite/ hypotenuse
sin x = 13/27
Taking the inverse sin of each side
sin^ -1 (sin x) = sin^-1 (13/27)
x =28.78220468
Rounding to the nearest degree
x = 29 degrees
Answer: 29º approximately
Step-by-step explanation:
Using SOH CAH TOA, determine the trig function that relates opposite side and hypothenuse. Yes, sine.
\(sin=\frac{opposite}{hypothenuse}\)
\(sin=\frac{13}{27}\)
\(sin^-^1=28.8\)
Find the area of the surface. The part of the plane x+2y+3z=1 that lies inside the cylinder x2 + y2=3.
After calculating the partial derivatives and the cross product, we can find the double integral of the magnitude over the region (0 ≤ r ≤ √3, 0 ≤ θ ≤ 2π). This double integral gives the surface area of the part of the plane inside the cylinder.
To find the area of the surface of the part of the plane x + 2y + 3z = 1 that lies inside the cylinder x^2 + y^2 = 3, we can use a parametric representation for the plane and cylinder intersection.
Let x = r * cos(θ) and y = r * sin(θ), where r^2 = 3 (from the cylinder equation). Now, we can find z in terms of r and θ using the plane equation:
z = (1 - x - 2y) / 3
z = (1 - r * cos(θ) - 2r * sin(θ)) / 3
Now, we have the parametric representation of the intersection: (r * cos(θ), r * sin(θ), (1 - r * cos(θ) - 2r * sin(θ)) / 3). To find the surface area, we need to calculate the partial derivatives with respect to r and θ and then find the magnitude of the cross product.
After calculating the partial derivatives and the cross product, we can find the double integral of the magnitude over the region (0 ≤ r ≤ √3, 0 ≤ θ ≤ 2π). This double integral gives the surface area of the part of the plane inside the cylinder.
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1. Carly bought 7 folders that cost $0.15 cents each and 2 packages of pens
that cost $1.50 each. What is the total cost in dollars and cents of the folders
and pens, not including tax?
the correct answer is 4.05
Explain how you would use the diagram to find
the number of yards of white fabric used when
64 yards of blue fabric is used.
Answer:
we need a diagram.
Step-by-step explanation:
Please help I will give Brainiest answer
Answer: b
Step-by-step explanation:
4-3
——-
13.40- 10.05
= 1/3.35
=b
What is 100×2000000 plz help i am so nevrvous i have a test tomorrow.
lol use a calculator???????