The compound inequality which correctly represents the given number line graph as required is; x < -1 and x ≥ 2
What is the compound inequality which represents the number line?It follows from the task content that the compound inequality which correctly represents the given number line graph be determined.
By observation; The solution set is a union of two set which do not have any elements in common.
Therefore, the required inequalities are;
x < -1 and x ≥ 2
Consequently, the required compound inequality is; x < -1 and x ≥ 2.
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can anyone help me with this?
Choose the law and the formula that would be used to solve the triangle.
Answer: A^2
Step-by-step explanation:
Angle C + Angle B = Angle A
Aaron makes $80 a night, plus $5 for every sale that he makes. How many sales did he make in a night if he made a total of $130? Write an equation to represent this problem. Then solve to find out how many sales he made. I
well i know the answer but not the equation so he did 10 sales
I need some answers be quick pls. If you get it right I will give you brainliest
Step-by-step explanation:
multiple the power and real number
Answers;
a) Multiply 2 by 3: 6ab.
b) Multiply \(c^{5}\) by c by adding the exponents: c^6 or \(c^{6}\).
c) Simplify the expression. 10y^7 or \(10y^{7}\).
d) Simplify the expression. 12g^4h^5 or \(12g^{4}h^{5}\).
A cylinder has a height of 7.5 feet and a diameter of 4.2 feet. Which measurement is closest to the volume of the cylinder in cubic feet?
The volume of the cylinder is closest to 103.85 cubic feet which is calculated using the formula V = πr²h.
What is volume?Volume is a measure of the amount of space an object or substance occupies. It is usually measured in cubic units, such as cubic centimeters or cubic meters.
The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius and h is the height of the cylinder.
To solve for the volume of the cylinder in this question, we must first calculate the radius of the cylinder.
The radius can be found by dividing the diameter by two, so the radius of the cylinder
= (4.2/2)
= 2.1 feet.
Using the formula,
V = πr²h,
the volume of the cylinder can then be calculated as
V = π(2.1)²7.5)
= 103.85 cubic feet.
Therefore, the volume of the cylinder is closest to 103.85 cubic feet.
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develop a class shapes 2d to represent all 2d geometric shapes excluding line. class should represent the name of the object (a string) the color of the objects (color) and methods that all subclasses should implement (abstract methods) including:
This is the UML diagram for the development of the program, in which Shapes 2D is the superclass and Circle, Square, Triangle, Rectangle, Rhombus, and Parallelogram are subclasses.
This is the program in C++ demonstrating the above classes.
#include<iostream>
using namespace std;
class shapes
{
public:
string name;
string color;
virtual void getAttributes()=0;
};
class Circle: public shapes
{
public:
float radius;
Circle(string n,string c, float r)
{
name=n;
color=c;
radius=r;
}
float getPerimeter()
{
return(2*(3.142)*radius);
}
float getArea()
{
return((3.142)*(radius*radius));
}
void getAttributes()
{
cout<<"Name :"<<name<<endl;
cout<<"Color :"<<color<<endl;
}
};
class Square:public shapes
{
public:
float side;
Square(string n,string c, float s)
{
name=n;
color=c;
side=s;
}
float getPerimeter()
{
return(4*side);
}
float getArea()
{
return(side*side);
}
void getAttributes()
{
cout<<"Name :"<<name<<endl;
cout<<"Color :"<<color<<endl;
}
};
class Triangle:public shapes
{
public:
float base;
float height;
float side1;
float side2;
float side3;
Triangle(string n,string c)
{
name=n;
color=c;
}
float getPerimeter()
{
cout<<"Enter side1\n";
cin>>side1;
cout<<"Enter side2\n";
cin>>side2;
cout<<"Enter side3\n";
cin>>side3;
return(side1+side2+side3);
}
float getArea()
{
cout<<"Enter base\n";
cin>>base;
cout<<"Enter height\n";
cin>>height;
return((0.5)*base*height);
}
void getAttributes()
{
cout<<"Name :"<<name<<endl;
cout<<"Color :"<<color<<endl;
}
};
class Rectangle:public shapes
{
public:
float length;
float breadth;
Rectangle(string n,string c, float l,float b)
{
name=n;
color=c;
length=l;
breadth=b;
}
float getPerimeter()
{
return(2*(length+breadth));
}
float getArea()
{
return(length*breadth);
}
void getAttributes()
{
cout<<"Name :"<<name<<endl;
cout<<"Color :"<<color<<endl;
}
};
class Rhombus:public shapes
{
public:
float diagonal1;
float diagonal2;
float side;
Rhombus(string n,string c)
{
name=n;
color=c;
}
float getPerimeter()
{
cout<<"Enter Side\n";
cin>>side;
return(4*side);
}
float getArea()
{
cout<<"Enter diagonal 1\n";
cin>>diagonal1;
cout<<"Enter diagonal 2\n";
cin>>diagonal2;
return((0.5)*diagonal1*diagonal2);
}
void getAttributes()
{
cout<<"Name :"<<name<<endl;
cout<<"Color :"<<color<<endl;
}
};
class Parallelogram:public shapes
{
public:
float base;
float height;
Parallelogram(string n,string c, float b,float h)
{
name=n;
color=c;
base=b;
height=h;
}
float getPerimeter()
{
return(2*(base+height));
}
float getArea()
{
return(base*height);
}
void getAttributes()
{
cout<<"Name :"<<name<<endl;
cout<<"Color :"<<color<<endl;
}
};
int main()
{
int choice;
while(1)
{
cout<<"\n\nEnter your choice :";
cout<<"\n1 for Circle\n";
cout<<"2 for Square\n";
cout<<"3 for Triangle\n";
cout<<"4 for Rectangle\n";
cout<<"5 for Rhombus\n";
cout<<"6 for Parallelogram\n";
cin>>choice;
system("cls");
switch(choice)
{
case 1:
{
float r;
cout<<"Enter radius\n";
cin>>r;
Circle c("Circle","Yellow",r);
c.getAttributes();
cout<<"Perimeter : "<<c.getPerimeter()<<endl;
cout<<"Area : "<<c.getArea()<<endl;
}break;
case 2:
{
float side;
cout<<"Enter side\n";
cin>>side;
Square s("Square","Red",side);
s.getAttributes();
cout<<"Perimeter : "<<s.getPerimeter()<<endl;
cout<<"Area : "<<s.getArea()<<endl;
}break;
case 3:
{
Triangle t("Triangle","Green");
t.getAttributes();
cout<<"Perimeter : "<<t.getPerimeter()<<endl;
cout<<"Area : "<<t.getArea()<<endl;
}break;
case 4:
{
float l,b;
cout<<"Enter Length and breadth\n";
cin>>l>>b;
Rectangle r("Rectangle","Blue",l,b);
r.getAttributes();
cout<<"Perimeter : "<<r.getPerimeter()<<endl;
cout<<"Area : "<<r.getArea()<<endl;
}break;
case 5:
{
Rhombus r("Rhombus","Purple");
r.getAttributes();
cout<<"Perimeter : "<<r.getPerimeter()<<endl;
cout<<"Area : "<<r.getArea()<<endl;
}break;
case 6:
{
float b,h;
cout<<"Enter base\n";
cin>>b;
cout<<"Enter height\n";
cin>>h;
Parallelogram p("Parallelogram","Pink",b,h);
p.getAttributes();
cout<<"Perimeter : "<<p.getPerimeter()<<endl;
cout<<"Area : "<<p.getArea()<<endl;
}break;
}
}
}
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Factor by GCF
2n2-8n3
15. While on vacation in Australia, Brent and Giselle decide to explore the Great Barrier Reef. Brent decides
to go snorkeling near the surface at a depth of 5 feet below sea level. Giselle is an experienced scuba
diver and decides to explore a little deeper at 80 feet below sea level. Represent these situations as
signed numbers.
The depth of diving expressed as signed numbers indicates the magnitude
and direction of Brent and Giselle's displacement in the water.
The situation expressed as signed number is; -5, -80Reasons:
The depth Brent decides to go snorkeling = 5 feet below sea level
The depth to which Giselle decides to explore = 80 feet below sea level
Required:
To represent the situation as signed numbers.
Solution:
Taking the sea level as 0, we have;
The depth to which Brent goes = 0 feet - 5 feet = -5 feet
Depth at which Giselle explores = 0 feet - 80 feet = -80 feet
Expressed on the number line, we have;
-∞∣ -80∣ -5∣ 0∣ 5∣
\({}\)
Therefore;
The situation expressed as signed numbers is; -5, -80From a similar question posted online, the possible question options are;
5, 805, -80-5, -80-5, 80Learn more about signed numbers and number line here:
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The sunshine ski shop makes a profit of $40 on each pair of skis sold. Shop expenses for one week are 2,480. What is the minimum number of pairs of skis that must be sold in one week to make profit of at least $2,000
Answer:
Number of units to sell= 112 units
Step-by-step explanation:
Giving the following information:
Unitary contribution margin= $40
Fixed costs= $2,480
Desired profit= $2,000
To calculate the number of units to be sold, we need to use the following formula:
Break-even point in units= (fixed costs + desired profit) / contribution margin per unit
Break-even point in units= (2,480 + 2,000) / 40
Break-even point in units= 112 units
Answer:
32000
Step-by-step explanation:
Is 9.90 greater than or lesser than 9.9
Answer:
it is equal too.
Step-by-step explanation:
Answer:
it is equal to
Step-by-step explanation:
ANSWERRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR
A box of fruit has four times as many oranges as grapefruit. Together there are
60 pieces of fruit. How many pieces of each type of fruit are there?
The number of mangoes = 48
The number of grapefruit = 12
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A box of fruit has four times as many oranges as grapefruit.
And, Total number of fruit = 60 pieces
Now,
Let number of grapefruit = x
Then, Number of Mangoes = 4x
So, We can formulate;
⇒ x + 4x = 60
Solve for x as;
⇒ 5x = 60
⇒ x = 12
Thus, Number of grapefruit = x
= 12
Then, Number of Mangoes = 4x
= 4 × 12
= 48
Therefore, The number of mangoes = 48
The number of grapefruit = 12
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The probability distribution was used along with statistical software to simulate 25 repetitions of the experiment (25 games). The number of hits was recorded. Approximate the mean and standard deviation of the random variable X based on the simulation. The simulation was repeated by performing 50 repetitions of the experiment. Approximate the mean and standard deviation of the random variable. Compare your results to the theoretical mean and standard deviation. What property is being illustrated?
Answer:
Hello here is the missing data to your question
x P(x)
0 0.167
1 0.3289
2 0.2801
3 0.149
4 0.0382
5 0.0368
The theoretical values are lower than the approximate values and the property illustrated is the mean and standard deviation
A) 1.6729
B) 1.234061
C) 1.84
D) 1.462874
Step-by-step explanation:
A) calculate the theoretical mean
theoretical mean (u) = summation of ; \(x_{i}p(x_{i})\)
= 0(0.167)+1(0.3289)+2(0.2801)+3(0.149)+4(0.0382)+5(0.0369)
= 1.6729
B) calculate the theoretical standard deviation
theoretical standard deviation = \(\sqrt{variance}\) = \(\sqrt{[summation of x_{i}^2 p(x_{i} ) ]-u^2}\)
= \(\sqrt{[0+0.3289+1.1204+1.341+0.6112+0.92]-(2.798594)}\)
= 1.234061
C) calculate the approximate mean
the generated data used for calculation is added below
mean (x) = \(\frac{summation of (x_{i}) }{n}\) = \(\frac{1+2...+2+1}{25}\) = 46/25 = 1.84
D) calculate the approximate standard deviation
std = \(\sqrt{variance}\)
= \(\sqrt{\frac{summation of( x_{i}-x )^2}{n-1} }\)
= \(\sqrt{2.14}\) = 1.462874
Indicate in standard form the equation of the line through the given points, writing the answer in the equation box
below.
PO.-4). Q15, 1)
Answer:
y = x-4
Step-by-step explanation:
The standard form is;
y = mx + b
where m is the slope and b is the y-intercept
we have the two points as (0,-4) and (5,1)
so we find the slope using the slope formula;
m = (y2-y1)/(x2-x1)
m = (1 + 4)/(5-0) = 5/5 = 1
The y-intercept value is the value of y when x = 0
We already have a point (0,-4) and the equation would be:
y = 1(x) + (-4)
y = x-4
Express D in the form Dx, Dy, where the x and y components are separated by a comma using two significant figures. The figure shows vectors A and B. Find Ď=2.4 Ā+B.
The representation of D in the form D_x, D_y, where the x and y components are separated by a comma will be D[6.08,7.27]
Any vector oriented in two dimensions can be understood to have an impact in both directions. This implies that it may be divided into two halves. A component is a portion of a two-dimensional vector. The components of a vector assist to represent the vector's effect in a certain direction. The total impact of these two components is equivalent to the influence of the separate two-dimensional vectors. The two vector components can substitute the single two-dimensional vector.
Determine the x and y components for each vector A & B for vector A
Ax=sin (15) * 2=0.5176
Ay=cos (15) * 2=1.9318
for Vector B
Bx=cos (15) * 4=3.8637
By=sin (15)* 4=1.0352
The vector addition and scalar multiplication for x and y individually D=4.3 * A+B
Dx=4.3 *(sin (15) * 2)+cos (15) * 4
Dx=4.3 * 0.5176+3.8637
Dx=6.0893
Dy=4.3 *(cos (15) * 2)-sin (15) * 4
Dy=4.3 * 1.9318-1.0352
Dy=7.2715
D[6.08,7.27]
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The actual question may be:
Express D in the form D_x, D_y, where the x and y components are separated by a comma using two significant figures.
What is the domain of this relation?
(-4,4)
(8,−1)
(9,-9)
(1,2)
(1,8)
Answer:
domain (-4,8,9,1)
range. (4,-1,-9,2,8)
Step-by-step explanation:
An investment is growing by 7.5% each year. What is the annual growth factor?
The annual growth factor represents the rate at which an investment grows each year. It is calculated by adding 1 to the growth rate expressed as a decimal.
In this case, the investment is growing by 7.5% each year. To express this as a decimal, we divide 7.5 by 100, which gives us 0.075. The annual growth factor is then calculated by adding 1 to the growth rate: 1 + 0.075 = 1.075.
Therefore, the annual growth factor is 1.075. This means that the investment grows by a factor of 1.075 each year, which corresponds to a 7.5% increase from the previous year's value.
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2 students have vanilla ice cream and 36 students have chocolate ice cream what is the ratio of the number of students who have chocolate to the total number of students
the ratio of the number of students who have chocolate ice cream to the total number of students is 18:19.
To find th ratio of the number of students who have chocolate ice cream to the total number of students,
we first need to add the number of students with vanilla ice cream to the number of students with chocolate ice cream. This will give us the total number of students.Then, we can divide the number of students with chocolate ice cream by the total number of students to get the ratio.
Let's use the given information to find out the number of students who have chocolate ice cream and the number of students who have vanilla ice cream.
Given that,2 students have vanilla ice cream and 36 students have chocolate ice cream.
The total number of students with ice cream is:2 (students with vanilla ice cream) + 36 (students with chocolate ice cream) = 38 (total students with ice cream
)The number of students with chocolate ice cream is 36.
To find the ratio of the number of students who have chocolate ice cream to the total number of students, we need to divide the number of students with chocolate ice cream by the total number of students.
That is,Ratio = Number of students with chocolate ice cream/ Total numberof students= 36/38= 18/19The required ratio of the number of students who have chocolate ice cream to the total number of students is 18:19.
Therefore, the ratio of the number of students who have chocolate ice cream to the total number of students is 18:19.
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with an average, you add everything up and then divide the total by the number of items you are adding. this gives every number equal weight in the average. but what if you want to weight one item more than others? you will use a weighted average. this can be used, for example, to determine your grade in a class. follow these steps to find the weighted average in the problem below. first, convert each percentage to a decimal. then, multiply each percentage in decimal form by its respective grade. and lastly, add everything up to find the weighted average. for example, emily received a 67 on her first economics exam, which counts for 20% of her grade; an 84 on her second exam, which counts for 30% of her grade; and a 78 on her third exam, which counts for 50% of her grade. what is her weighted average in the class?
Answer:
Based on the weights assigned to these grades, Emily's weighted average in the class would be 77.6 marks.
At first, students might think that the lengths of the sides of a triangle can be any three lengths, but that is not so. The Triangle Inequality says that the length of any side must be less than the sum of the lengths of the other two sides. For the triangle in part (a) to exist, all of these
statements must be true:
?
?
?
5<3+4, 3<4+5, and 4<5+3.
Yes, the triangle with the given side lengths exists because the triangle inequality holds true.
At first, students might think that the lengths of the sides of a triangle can be any three lengths, but that is not so. The triangle inequality says that the length of any side must be less than the sum of the lengths of the other two sides.
We are given a set of three side lengths. The side lengths are 3, 4, and 5. We need to check whether a triangle can be formed using the given three side lengths. We will use the triangle inequality.
The first inequality is 3 + 4 > 5. This inequality holds true because 7 is greater than 5. The second inequality is 4 + 5 > 3. This inequality holds true because 9 is greater than 3. The first inequality is 5 + 3 > 4. This inequality holds true because 8 is greater than 4. The triangle inequality holds true, so a triangle with the given side lengths exists.
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the population (in millions) of a country in 2011 and the expected continuous annual rate of change k of the population are given. 2011 population k 97.3 0.019 (a) find the exponential growth model p
So, the exponential growth model for the population (p) would be: p = 97.3 * e^(0.019t)
To find the exponential growth model, we can use the formula:
p = p0 * e^(kt)
Where:
p = population at time t
p0 = initial population
k = continuous annual rate of change
t = time elapsed
In this case, the initial population (p0) is 97.3 million and the continuous annual rate of change (k) is 0.019.
So, the exponential growth model for the population (p) would be:
p = 97.3 * e^(0.019t)
Please note that e is Euler's number, a mathematical constant approximately equal to 2.71828.
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write the following expression without negative exponents and without parentheses (-9x)^-2
The value of the expression is 1/(9x)^2
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
(-9x)^-2
We can write the expression without negative exponents by using a fraction with a positive exponent:
(-9x)^-2 = 1/(-9x)^2
And without parentheses, this expression becomes:
1/(9x)^2
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PLS HELP describe how you would create a model to represent the expression 4 divided by 1/5
The model will show a rectangle divided into five equal parts, with four of those parts combined to form a new rectangle that is four times larger than each of the original parts
How to model to represent the expression 4 divided by 1/5To create a model to represent the expression 4 divided by 1/5, we can use a visual representation of division known as a "sharing" model.
First, we draw a rectangle to represent the total value of 4. Then, we divide this rectangle into five equal parts, since the denominator of the fraction is 1/5. Each of these parts represents the value of 1/5.
Next, we count how many of these parts we need to take to represent the numerator of the fraction, which in this case is 4. Since 1/5 is the size of one part, we need to take 4 parts to represent the value of 4.
We can then combine these 4 parts together to create a new rectangle. The size of this rectangle represents the value of the expression 4 divided by 1/5. In this case, the new rectangle will be 4 times larger than each of the parts we started with.
So, our model will show a rectangle divided into five equal parts, with four of those parts combined to form a new rectangle that is four times larger than each of the original parts. This represents the expression 4 divided by 1/5.
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You are looking over your grades in a class
and want to calculate your average score per
lesson.
Your lesson scores are: 75, 85, 90, 90, 100,
75, 80, 100, 90.
What is the mean? Round to the nearest %.
Answer:
An average test score is the sum of all the scores on an assessment divided by the number of test-takers.
Step-by-step explanation:
I forget
Sara wonders what percentage of her students answered at least half of the quiz questions incorrectly.
The relative cumulative frequency of students who earned a score of 21 or higher on the quiz is __________ %.
68
18
32
16
I’ll mark the first person to answer
Answer:
$3.00 per person $8.00 per vehicle
Step-by-step explanation:
2x3=6 6+8=14
4x3=12 12+8=20
8x3=24 24+8=32
Hope this helps
solve sinx = 2x-3 using false position method
The root of the equation sinx = 2x-3 is 0.8401 (approx).
Given equation is sinx = 2x-3
We need to solve this equation using false position method.
False position method is also known as the regula falsi method.
It is an iterative method used to solve nonlinear equations.
The method is based on the intermediate value theorem.
False position method is a modified version of the bisection method.
The following steps are followed to solve the given equation using the false position method:
1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.
Here, f(x) = sinx - 2x + 3.
2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))
3. Evaluate the function at point c and find the sign of f(c).
4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.
5. Repeat the steps 2 to 4 until we obtain the required accuracy.
Let's solve the given equation using the false position method.
We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.
So, the root lies between 0 and 1.
The calculation is shown in the attached image below.
Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).
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Find the total surface area of this triangular prism.
24 cm
25 cm
10 cm
14 cm
If the picture below is your triangular prism..
Answer:
976
Step-by-step explanation:
14 x 24 = 336 [It's a triangle you would half it but then as there are 2 you would keep it the same]
10 x 25 = 250 [Times by 2 because there are 2 of them]
10 x 14 = 140
336 + 250 + 250 + 140 = 976
what is the largest number we counted to.
Answer: The biggest named number that we know is googolplex, ten to the googol power, or (10)^(10^100). That's written as a one followed by googol zeroes.
Explanation: The largest known prime number (as of August 2020) is 282,589,933 − 1, a number which has 24,862,048 digits when written in base 10. It was found via a computer volunteered by Patrick Laroche of the Great Internet Mersenne Prime Search (GIMPS) in 2018.
Hope this helps^^
Enter the unknown value that makes this statement true: 100% of □ is 40
The unknοwn value that makes the statement "100% οf --- is 40" true is 40.
What is the percentage?A percentage is a number οr ratiο expressed as a fractiοn οf 100. It is οften denοted using the percent sign, "%", althοugh the abbreviatiοns "pct.", "pct" and sοmetimes "pc" is alsο used. A percentage is a dimensiοnless number; it has nο unit οf measurement.
In the statement "100% οf --- is 40", the percentage 100% represents the entire quantity οf the unknοwn value that is represented by the symbοl □.
Sο, we can say that the entire unknοwn quantity is equal tο 40.
Therefοre, the unknοwn value that makes this statement true is 40.
Hence, The unknοwn value that makes the statement "100% οf --- is 40" true is 40.
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