Answer: b=75
Step-by-step explanation: Given that the health club charges $30 per month, we know that this is the "m" varible. We know this because the total value changes as the value of x changes. The value of b would therefore be $75 dollars because it is a constant and a one time fee. The person joining the health club pays an amount of money per month, as well as an initial charge of $75.
Hope that helps!
The lines below are perpendicular.
the slope of the solid line iS 4, what is the slope of the dashed line?
Answer:
\(\frac{-1}{4}\)
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes. This means you change the sign and flip the numerator and denominator.
If the original slope is 4, the perpendicular slope is \(\frac{-1}{4}\)
. if we had another data set made up of individuals’ ages and nearly all the people were younger than 25 but a small percentage were over 50, and a few were in their 80s, how would you describe shape of the age distribution?
Based on the description of the data set, the age distribution can be described as right-skewed or positively skewed. The majority of individuals falling below the age of 25 indicate a concentration of data towards the younger end of the spectrum.
However, the presence of a small percentage of individuals over 50 and a few in their 80s suggests a tail that extends towards the older ages.
In a right-skewed distribution, the tail of the distribution is stretched out towards the higher values. This indicates that the data is skewed to the right, with the mean being pulled towards the higher ages due to the presence of a few relatively older individuals. The bulk of the data is concentrated towards the left side (younger ages), while the right side (older ages) contains a smaller number of observations that contribute to the tail.
It's worth noting that without specific numerical values or a visual representation of the data, it is difficult to provide a precise characterization of the shape of the age distribution. However, based on the information provided, a right-skewed distribution seems to be a reasonable description considering the concentration of younger individuals and the presence of a smaller percentage of older individuals.
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Determine the length of the missing side in the triangle shown.
square root of 346
square root of 104
square root of 26
square root of 4
Answer:
√104
Step-by-step explanation:
missing side = \(\sqrt{15^2-11^2} = \sqrt{225-121} = \sqrt{104}\)
What is the value today of receiving $1,354.00 per year forever? Assume the first payment is made next year and the discount rate is 15.00%. Currency: Round to: 2 decimal places.
The present value of receiving $1,354.00 per year forever, with the first payment next year and a discount rate of 15.00%, is approximately $9,026.67.
To calculate the present value of an infinite cash flow, we use the formula: Present Value = Cash Flow / Discount Rate. In this case, the cash flow is $1,354.00 per year, and the discount rate is 15.00%. By plugging these values into the formula, we get Present Value = $1,354.00 / 0.15 = $9,026.67, rounded to two decimal places.
This means that receiving $1,354.00 per year forever has a present value of approximately $9,026.67. The present value represents the worth of the infinite cash flow in today’s dollars, considering the time value of money and the given discount rate.
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Help please!
A.
B.
C.
D.
Answer:
D because it would most likely rise
What is the constant in the
expression below?
3a + 5b - 17
A 3
B 5
C -17
The constant in the expression 3a + 5b - 17 is -17.
The constant in the expression 3a + 5b - 17 is -17, because it is the value that does not involve any variable.
Answer:-17
Step-by-step explanation:
Identify the terms in the expression: 3a, 5b, and -17.
Determine which term does not have any variables attached to it. In this case, it is -17.
The term -17 is a constant because it is a fixed value that does not change with the variables 'a' or 'b'.
Therefore, the constant in the expression is -17.
Which sequence of transformations will map figure H onto figure H'
-8
7
-6
-5
-4-
-3
-2
1
-5-4-3-2-10 1 2 3 4 5 6 7 8 9 10 11 12 13
-1
-2
3 4
587
H
-9
-10
H'
O
Rotation of 180° about the origin, translation of (x + 10, y − 2)
reflection across x = -6
Rotation of 180° about the origin, translation of (x + 10, y − 2).
reflection across y = -6
Rotation of 180° about the origin, translation of (x - 10, y + 2)
reflection across y = -6
Rotation of 180° about the origin, translation of (x - 10, y + 2)
reflection across x = -6
The sequence of transformations that will map figure H onto figure H' is: Option B: the rotation of 180° about the origin, translation of (x + 10, y − 2), and reflection across y = −6.
How to find the sequence of transformation?We are given the coordinates of the hexagon as:
Points of Hexagon H → (2,2), (2,6), (6,7), (8,6), (8,2), (6,1)
Points of Hexagon H' → (2,-8), (2,-4), (4,-3), (8,-4), (8,-8), (4,-9)
The steps that can be used to transform the hexagon H into hexagon H' are:
Step 1 - Translate the hexagon in the positive x-axis direction by a factor of 10.
Step 2 - Translate the graph obtained in the above step by factor 2 in the downward direction.
Step 3 - Rotate the graph obtained in the above step 180 degrees about the origin.
Step 4 - Then take the reflection of the graph obtained in the above step about y = -6. The resulting graph shows the graph of Hexagon H'.
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The goal of building one-to-many relationships between tables is to minimize _____ data. A. misspelled B. rarely used C. numeric D. redundant
The goal of building one-to-many relationships between tables is to minimize redundant data.
Data redundancy is a regular occurrence in many businesses and occurs when an identical piece of data is stored in two or more different locations. As more businesses switch from using segregated data to a central repository, they discover that their database is full of inconsistent duplicates of the same entry. Understanding how to effectively manage and track data redundancy can help your business avoid long-term inconsistency problems, even though it can be difficult to reconcile — or even benefit from — redundant data entries.
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The goal of building one-to-many relationships between tables is to minimize redundant data.
Redundant data refers to data that is duplicated across multiple tables, which can lead to data inconsistencies and
increase the amount of storage space required.
By creating one-to-many relationships between tables, data is only stored once in the database, and each instance of
the data in other tables refer back to the original source, reducing the need for redundant data storage.
Therefore, The goal of building one-to-many relationships between tables is to minimize redundant data.
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Solve
(6x + 5) - (x + 3)
Answer:
5x+2
Step-by-step explanation:
6x-x=5x and 5-3=2
so 5x+2 is the answer.
Find each new function in simplest form of : f/gWhich of the four options is it? Also please explain why
we can take the two equations and divide them
\((\frac{f}{g})=\frac{x+7}{2x-4}\)so is option 4
last one for this type of equation
Answer:
a.
t=11
A=210-14(11)
A=210-154
A=56
$56 left
b.
A=0
0=210-14t
14t=210
t=210/14
t=15
in 15 trips he'd be broke
Which rule explains why these scalene triangles are similar?
A. SSS
B. SAS
C. AA
D. None of the above; the triangles cannot be proven similar
Answer:
D. none of the above
Step-by-step explanation:
no side lengths given
no angles are the same in both triangles
How does the area of the scale drawing where 1 centimeter represesnts 10 miles compare to the area of a the drawing where 1 centimeter represents 30 miles?
Answer:
This means that 1cm on the map means 10miles on actual land so is it the same for 30miles
That is 1cm on map 30 cm on land
Mrs. A grills onions and peppers at a restaurant. She always grills more onions than peppers and always grills some of each. On Sunday, she grilled 38 onions and x peppers. Which pair of inequalities represents the number of peppers, x, she could have grilled on Sunday?
Group of answer choices
x > 0 and x > 38
x > 0 and x < 38
x > 0 and x > 37
x > 0 and x < 37
We can conclude after answering the provided question that As a result, inequality the correct answer is: x > 0 and x < 38
What is inequality?In mathematics, an inequality is a non-equal connection that exists between expressions or values. As a result, imbalance relates to inequality. In mathematics, an inequality connects two values that are not equal. Inequality is not the same as equality. When two points are not equal, the not equal sign is commonly used (). Different inequalities, no matter how small or large, are utilized to calculate contrast values. Many simple inequalities can be solved by modifying its two sides until only the variables remain. But a few factors contribute to inequality: Negative values are divided or added on both sides. Trade off the left and right.
Mrs. A always grills more onions than peppers, so the number of onions grilled (38) must be greater than the number of peppers grilled (38). (x). As a result, the inequality can be used to represent this relationship:
38 > x
Mrs. A also grills some of each, so the total number of peppers grilled (x) must be greater than zero. As a result, the inequality can be used to represent this relationship:
x > 0
The inequity pair that represents the number of peppers, x, she could have grilled on Sunday is:
x > 0 and 38 > x
This can also be expressed as:
0 < x < 38
As a result, the answer is:
x > 0 and x < 38
As a result, the correct answer is:
x > 0 and x < 38
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What is the lateral and surface area? No link or you will be reported
The perimeter of the triangle below is 4x + 3y. Find the measure
of the missing side.
Answer:
2x + 3y
Step-by-step explanation:
first you add the two known sides: (x-y)+(x+y) = 2x
Then you subtract the answer (2x) from the total perimiter (4x+3y) :
4x+3y-2x = (4x - 2x) + 3y = 2x + 3y
Which two inequalities can be used to find the solution to this absolute value inequality?
3|x+4|-5<7
Answer: 3(x+4)<-12 and x+4<4
Step-by-step explanation:
3|x+4| - 5 < 7
The two inequalities which is used to find the solution to this absolute value inequality 3 |x + 4| - 5 < 7 are;
⇒ x - 4 < 4
And, x - 4 > - 4
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ 3 |x - 4| - 5 < 7
Now,
Since, The inequality is,
⇒ 3 |x - 4| - 5 < 7
Solve as;
⇒ 3 |x - 4| - 5 + 5 < 7 + 5
⇒ 3 |x - 4| < 12
⇒ |x - 4| < 4
This gives two solution as;
⇒ x - 4 < 4
And, x - 4 > - 4
Thus, The two solutions are;
⇒ x - 4 < 4
And, x - 4 > - 4
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A parallelogram has a height of x cm. The length of its base is 4 cm greater than its height. A triangle has the same height as the parallelogram. The length of the triangle’s base is 20cm.
What is the value when the triangle and the parallelogram have the same area?
The value of x when the triangle and the parallelogram have the same area is 6 units
The dimensionsThe dimension of the parallelogram is given as:
Height = xBase = 4 + xThe dimension of the triangle is given as:
Height = xBase = 20AreasThe area of a shape is the amount of space it occupies
The area of the parallelogram is calculated as:
\(Area = x (4 + x)\)
The area of the triangle is calculated as:
\(Area = 0.5 \times 20 \times x\)
\(Area = 10x\)
Both areas are equal.
So, we have:
\(x(4 + x) = 10x\)
Divide both sides by x
\(4 + x = 10\)
Subtract 4 from both sides
\(x =6\)
Hence, the value of x is 6 units
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write the expression using exponents. a⋅a⋅c⋅c =
The expression when expressed in its exponent is a²+c²
how to express a number in exponent form?In mathematics, we should understand that exponent tell the power to which a number is raise.
It shows the number of times a number multiplies itself to get the certain member.
The given expression is a*a*c*.
Using the law of multiplication that says when two or more numbers in the same base are multiplied, we add their powers.
Here a appeared twice a*a=a²
And c appeared twice that is c*c=c²
Combining the two exponents together we have that
a²+c²
In conclusion, the exponent of a*a*a*a is a²+c²
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circuit training - optimization mendel is planting peas for a genetics experiment. he has 225 feet of fencing to fence a rectangular garden and divide it into two equal parts by placing another fence parallel to one of ths sides. what is the maximum total area (in square feet) he can enclose?
The largest area that a 225-foot fence can surround is 1875ft².
What is the area?The measurement that expresses the size of a region on a plane or curved surface is called an area.
Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region on a plane or curved surface is called an area.
So, we must know the distances from the side and base of the rectangle in order to get the area that Mendel can contain with 225 feet of fencing.
To do this, we split the fence into two equal-length pieces for the base and top and three equal sides.In this instance, the fence is divided into two 75-foot sections and three 25-foot sections.After that, we can determine the rectangle's area by multiplying the side's value by the base's value.
25ft × 75ft = 1875ft²Therefore, the largest area that a 225-foot fence can surround is 1875ft².
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1. One mole of an ideal gas expands isothermally at T = 20°C from 1.1 m³ to 1.8 m³. The gas constant is given by R = 8.314 J/(mol K). (a) Calculate the work done by the gas during the isothermal ex
The work done by the gas during the isothermal expansion is 331.32 J.
Isothermal Expansion refers to a process in which the temperature of a system stays constant while the volume increases. In this process, an ideal gas expands from 1.1 m³ to 1.8 m³, and the gas constant is R = 8.314 J/(mol K).
The work done by the gas during the isothermal expansion can be calculated as follows:Answer:During an isothermal process, the change in internal energy of the system is zero since the temperature remains constant.
Therefore,ΔU = 0The first law of thermodynamics is given by:ΔU = q + w
where q is the heat absorbed by the system, and w is the work done on the system.Since ΔU = 0 for an isothermal process, the above equation reduces to:w = -q
During an isothermal process, the heat absorbed by the system is given by the equation:q = nRTln(V₂/V₁)Where, n is the number of moles, R is the gas constant, T is the temperature, V₁ is the initial volume, and V₂ is the final volume.
Substituting the given values, we have:q = (1 mol) × (8.314 J/(mol K)) × (293 K) × ln(1.8 m³ / 1.1 m³)q = 331.32 J
Therefore, the work done by the gas during the isothermal expansion is given by:w = -qw = -(-331.32 J)w = 331.32 J
Thus, the work done by the gas during the isothermal expansion is 331.32 J.
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Margie wants to collect 3600 cans of food to donate to the community food bank.She plans to collect equal number of can for 4 months how many cans she should collect
Answer:
If its per month then its 900
Step-by-step explanation:
3600/4 = 900
900*4 = 3600
4. a picture can be added to a text in nine different locations on a page. if four different pictures are to be placed in the text, how many different designs are there?
As per the combination method, there are 3,024 different designs that can be created with four different pictures placed in nine different locations on a page.
There are seven options for the third picture and six options for the fourth picture.
To determine the total number of designs, we can use the multiplication principle, which states that the number of ways two or more independent events can occur together is equal to the product of the number of ways each event can occur individually.
Therefore, the total number of designs that can be created by placing four different pictures in nine different locations on a page can be found by multiplying the number of options for each picture:
9 x 8 x 7 x 6 = 3,024
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I’ll Mark u as brainless if you solve this
i think the person below me is correct and the answer is 12
Answer:
M equals 12
I hope this helps you.
Please plot the resulting points.
Answer:
See explanation
Step-by-step explanation:
When you reflect across the y axis the numbers stay the same but the x coordinates become negative.
So the new coordinates are:
F(-4, 6)
G (-9, 6)
H (-7, 1)
I (-4, 0)
J (-1, 3)
5. A six-marble repeating pattern made up of
ebloured marbles is shown.
How many times does a red marble appear
in the first 20 marbles of this pattern?
Explain your answer.
Answer:
7 marbles
Step-by-step explanation:
For every 6 marbles, 2 marbles appear as red.
This pattern would repeat thrice as 6x3 = 18, and then the first 2 marbles (one blue and red) will be counted to make 20 marbles.
So total marbles will be 3x2 in the 18 marble set and 1 in the final 2 marbles.
so 3x2 + 1 = 6+1 = 7
We get 7 marbles as red if we continue in this pattern.
in still water , your small boat averages 8 miles per hour. it takes you the same amount of time to travel 15 miles downstream , with the current , as 9 miles upstream , against the current. what is the rate of the water's current?
Answer:
in still water, a boat averages 8 miles per hour. It takes the same amount of time to travel 30 miles downstream, with the current, as 18 miles upstream, against the current. What is the rate of the water's current.
Step-by-step explanation:
Let c=speed of current in mph
c+8=speed of boat downstream in mph
c-8=speed of boat upstream in mph
Travel time= distance/speed
30/8+c=18/8-c
240-30c=144+18c
48c=96
c=2 mph
ans
rate of water's current = 2 mph
How many solutions exist for the system of equations in the graph?
one
two
three
four
Answer:
2 solutions
Step-by-step explanation:
The solutions are found at the points where the 2 graphs intersect.
From the graph there are 2 points of intersection, thus 2 solutions.
What’s the slope of the equation y= -5x +1
Answer:
slope is -5
Step-by-step explanation:
\(y=-5x+1\)
This equation is in slope-intercept form:
\(y=mx+b\)
where m is the slope and b is the y-intercept.
In the given equation, the slope is -5 and the y-intercept is 1.
Write a Point class that has private attributes for coordinates x and y. The class has constructor to get values for x and y of the point. In the class, write a method distance with the method header to be: public double distance(Point target) to compute the distance from the current point and the given target point. Note: the distance d between two points A and B can be computed with the following formula d= (x A
−x B
) 2
+(y A
−y B
) 2
Write a class with a main method to test the class Point and the distance method.
An implementation of the `Point` class in Java with a `distance` method:
public class Point {
private double x;
private double y;
public Point(double x, double y) {
this.x = x;
this.y = y;
}
public double distance(Point target) {
double deltaX = this.x - target.x;
double deltaY = this.y - target.y;
return Math.sqrt(deltaX * deltaX + deltaY * deltaY);
}
public static void main(String[] args) {
Point p1 = new Point(2.5, 3.8);
Point p2 = new Point(1.0, 4.2);
double distance = p1.distance(p2);
System.out.println("The distance between p1 and p2 is: " + distance);
}
}
In this implementation, the `Point` class has private attributes `x` and `y` to store the coordinates. The constructor `Point(double x, double y)` is used to initialize the point with the given coordinates.
The `distance` method takes another `Point` object as a parameter and calculates the distance between the current point and the target point using the distance formula. It returns the computed distance.
In the `main` method, we create two `Point` objects `p1` and `p2` with different coordinates. We then call the `distance` method on `p1` with `p2` as the target point and print the result.
This allows you to test the `Point` class and verify the correctness of the `distance` method.
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