The range of integer value in C is: -2,147,483,647 to 2,147,483,647
We know that the range of data types means the maximum and minimum value that can be stored inside the variable of a given type.
In C programming, the primitive data types are:
char – this data type hold a single character
float – this data type hold single-precision types of floating-point.
int – this data type hold integers
double - this data type hold double-precision types of floating-point
The int i.e., integer data type holds whole numbers that range from -2,147,483,647 to 2,147,483,647.
The number 2,147,483,648 cannot be used.
The integer value is stored as a signed binary integer.
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7x + 2y = 24
8x + 2y = 30
Answer: x = 6 and y = -9
Step-by-step explanation:
Solve by reduction method
7x + 2y = 24
8x + 2y = 30
We will multiply the first equation by 8, and the second equation by -7, then both equations must be added.
8(7x + 2y = 24)
-7(8x + 2y = 30)
Add these equations to eliminate x
2y = -18
Then we solve 2y = -18 for y. (We divide by 2)
2y/2 = -18/2
y = -9
We place the found value of y , in one of the original equations y in order to solve for x.
7x + 2y = 24
7x + 2(-9) = 24
7x - 18 = 24
We add 18 to both sides.
7x - 18 + (18) = 24 + (18)
7x = 42
We add 18 to both sides.
7x/7 = 42/7
x = 6
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Grant is at a basket ball game and wants to buy as many 3 hotdog and 4 Sodas as he can. If grant has 38 and wants to buy as many sets of one hot dog and one soda as he can how can he
The number of sets of one hot dog and one soda he can buy is; 5 sets
How to solve Algebra Word problems?We are given;
Cost of hotdog = $3
Cost of soda = $4
Total amount grant has = $38
Now, we are told that he wants to buy same set of hotdog as that of sodas. Thus, let the amount be x and we have the algebraic expression;
3x + 4x = 38
7x = 38
x = 38/7
x = 5³/₇
We will pick the whole number to get 5 sets
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Complete question is;
Grant is at a basket ball game and wants to buy as many $3 hotdog and $4 Sodas as he can. If grant has $38 and wants to buy as many sets of one hot dog and one soda as he can how can he buy?
question= 3 x + 2 / x + 7
solved, 3x+2/x+7 = 3x²+21x+2/x+7
solution:
3x+2/x+7
To add or subtract expressions, expand them to make their denominators the same. Multiply 3x times x+7/x+7
we get,
3x(x+7)/x+7 + 2/x+7
since 3x(x+7)/x+7 and 2/x+7 have the same denominator, add them by adding their numerators.
we get,
3x (x+7) +2/x+7
Do the multiplications in 3x(x+7)+2.
we get, 3x²+21x+2/x+7
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Shelley drew a scale drawing of the high school. She used the scale 5 millimeters : 3 meters. If the actual width of the parking lot is 42 meters, how wide is the parking lot in the drawing?
We can use the proportion:
measurement in the drawing / scale = actual measurement
We know that the scale is 5 millimeters : 3 meters and the actual width of the parking lot is 42 meters. To find the width of the parking lot in the drawing, we can set up the proportion as:
width in drawing / 5 millimeters = 42 meters / 3 meters
To solve for the width in the drawing, we can cross-multiply and divide:
width in drawing = (42 meters * 5 millimeters) / 3 meters
Converting millimeters to meters:
width in drawing = (42 * 5 * 10^-3) / 3
width in drawing = (210 * 10^-3) / 3
width in drawing = 70 * 10^-3 meters = 0.07 meters
So the width of the parking lot in the drawing is 0.07 meters or 70 millimeters.
For each sequence below: (a) use a difference table to find a formula, then check your formula for a few values of n (b) use your formula to calculate the next three terms in the sequence. 3 14, 32, 60, 98, ...
helpp please
The subsequent three words in the list. 3 14, 32, 60, 98, ... is 276 . In this case, the order is 3, 14, 32, 60, 98, and 276.
How do you find the nth term formula?(a)An arithmetic sequence's nth term is determined by a = a + (n - 1)d in step 1. As a result, enter the given values for a and d into the formula to determine the nth term. Step 2: Now, change the nth term in the equation to n = 5 to determine the fifth term. Consecutive integers in an arithematic sequence often differ from one another. Simply subtract the first term from the second term to discover it, or the second term from the third, and so forth. Our shared difference is thus eight.(b)the subsequent three words in the list. 3 14, 32, 60, 98, ... is 276 . In this case, the order is 3, 14, 32, 60, 98, and 276.To learn more about Sequence refer to :
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The next three terms in the sequence are 79, 90, and 101.
What is sequence?An ordered group of numbers or items is referred to as a sequence.Since each element in a series has a particular place in the sequence, the order of the elements is crucial.Sequences can either have a finite or infinite number of words, meaning they can either end or continue eternally.A formula that can be used to determine any term in a series given its location can be used to characterize sequences.a) To find a formula for the sequence, we can use a difference table.
First, let's write out the first few terms of the sequence:
3, 14, 32, 60, 98, ...
Next, we'll create a difference table:
n | Term | Difference
1 | 3 |
2 | 14 | 11
3 | 32 | 18
4 | 60 | 28
5 | 98 | 38
We see that the difference is increasing by 10 each time, so our formula can be written as:
Term = 11n + 3
To check the formula, we can plug in a few values of n and see if it matches the terms in the sequence:
n = 1, Term = 11(1) + 3 = 14
n = 2, Term = 11(2) + 3 = 32
n = 3, Term = 11(3) + 3 = 60
The formula matches the terms in the sequence, so it is correct.
b) To find the next three terms in the sequence, we can use our formula:
n = 6, Term = 11(6) + 3 = 79
n = 7, Term = 11(7) + 3 = 90
n = 8, Term = 11(8) + 3 = 101
So the next three terms in the sequence are 79, 90, and 101.
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i need answer by today
The total cost of the fence will be £841. The solution is obtained using the concept of perimeter of triangle.
What is perimeter of triangle?
Any two-dimensional figure's perimeter is determined by the space surrounding it. By summing the lengths of the sides, we can determine the perimeter of any closed shape.
We are given a right-angled triangle with one angle 59° and the adjacent side as 145 meters.
We know that tan θ = Opposite side/Adjacent side
⇒ tan 59° = Opposite side/145
⇒ 1.66 = Opposite side/145
⇒ 241 meters(approx) = Opposite side
Now, using pythagoras theorem,
⇒Hypotenuse^2 = Base^2 + Perpendicular^2
⇒Hypotenuse^2 = 241^2 + 145^2
⇒Hypotenuse^2 = 58,081 + 21,025
⇒Hypotenuse^2 = 79,106
⇒Hypotenuse = 281 meters(approx)
Perimeter of triangle = Sum of three sides
⇒ Perimeter = 145 + 241 + 281
⇒ Perimeter = 667 meters
The fence costs £ 1.26 per meter
Total cost of fence = 1.26 * 667 = £840.42 = £841
Hence, the total cost of the fence will be £841.
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Can it be true that a 10 year old child weighs 30%
more than a 6 year old child?
Answer:Kids grow at their own pace. Big, small, tall, short — there is a wide range of healthy shapes and sizes among children. Genetics, gender, nutrition, physical activity, health problems, environment, and hormones all play a role in a child's height and weight. And many of these things can vary widely from family to family.
Step-by-step explanation:
What is the multiplicative inverse of − 3 − 8?.
The multiplicative inverse of 'a' is indicated by a-1 or 1/a. In other words, the multiplicative inverse of a number is explained as 1 divided by the number.
The multiplication inverse of 3 is 1/3.
The multiplication inverse of 8 is. 1/8.
The multiplicative inverse is defined as the reciprocal of a given number. It is used to clarify mathematical expressions.
The word 'inverse' infers something opposite/contrary in effect, position, order, or direction. A number when multiplied by its multiplicative inverse results in 1.
The multiplicative inverse formula is called that the product of a number and its reciprocal is 1.
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What type of function is Y =- 2x 3?.
The type of the function y = -2x + 3 is a linear function.
Function in math is known as a rule that gives value of a dependent variable that corresponds to specified values of one or more independent variables.
Here we have given that the function y = -2x +3 and here we need to identify the type of the function.
As we all know that the type of function called linear function is defined as a function that has either one or two variables without exponents.
While we consider the definition we have identified that the given function is is the linear function because in the given function there is no exponents in it so it can fall under the category of the function called exponents.
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What is the solution to the system of equations y 2x 3. 5 and x 2y =- 14?.
The point (7, 10.5) is on the graph of both equations and satisfies the system of equations.
To find the solution to a system of equations, we need to find the values of x and y that satisfy both equations simultaneously.
The system of equations is:
y = 2x - 3.5
x - 2y = -14
We can begin by solving one of the equations for one of the variables, for example, we can solve the first equation for y:
y = 2x - 3.5
Next, we can substitute this expression for y into the second equation:
x - 2(2x - 3.5) = -14
This gives us:
x - 4x + 7 = -14
-3x = -21
x=7
Now we can substitute this value of x back into the first equation to find the corresponding value of y:
y = 2(7) - 3.5
y = 10.5
So the solution to the system of equations is x = 7, y = 10.5.
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Is 0 infinite or no solution?.
No, 0 is neither an infinite solution nor no solution.
The solution x = 0 implies that the value 0 satisfies the equation, so there is a solution. “No solution” implies that there is no value, not even 0, which would satisfy the given equation.
Let us take an example for a more reasonable interpretation,
An example is the equations
² + 1 = 0 and
− 3 = 2 − 3
Suppose that is real.
The first equation has no solution, while the second equation has a solution = 0.
Hence, 0 can be a solution to a system of equations.
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Jan 19, 4:48:05 PM
What is the surface area of the cylinder with height 3 m and radius 6 m?
Round your answer to the nearest thousandth.
The surface area of a cylinder is given by the formula 2πr (r + h) where r is the radius and h is the height.
Plugging in the given values, we get: 2π(6) (6 + 3) = 2π(6)(9) = 108π.
Rounded to the nearest thousandth, this is approximately 342.8.
What is surface area?The surface area of an object is the total area that the object's surface occupies. It is a measure of the total area of all the exposed surfaces of an object. It is typically measured in square units, such as square meters or square inches. The surface area of an object can be calculated using various formulas, depending on the shape of the object. For example, the surface area of a cube is the area of all six faces of the cube, while the surface area of a sphere is the area of the spherical surface. The surface area is an important property of an object in fields such as engineering, physics, chemistry, and architecture.
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What’s 14x+14x
x= 1/2
Answer in simplest form please and thank you!
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{14x + 14x}\\\\\mathsf{= 14(\dfrac{1}{2}) + 14(\dfrac{1}{2})}\\\\\mathsf{= \dfrac{14}{1}\times \dfrac{1}{2} + \dfrac{14}{1} \times \dfrac{1}{2}}\\\\\mathsf{= \dfrac{14\times1}{1\times2} + \dfrac{14\times1}{1\times2}}\\\\\mathsf{= \dfrac{14}{2} + \dfrac{14}{2}}\\\\\mathsf{= 7 + 7}\\\\\mathsf{= 14}\\\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{14}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Answer:
14x + 14x = 14
Step-by-step explanation:
Given expression,
→ 14x + 14x
Now we have to use,
→ x = 1/2
Let's simplify the expression,
→ 14x + 14x
→ 14(1/2) + 14(1/2)
→ (14/2) + (14/2)
→ 7 + 7
→ 14 => {final value}
Hence, required answer is 14.
What is 3 3/8 x 2 1/3
Answer:
= 7 7/8
Step-by-step explanation:
3 3/8 = 3 + 3/8 = 24/8 + 3/8 = (24+3)/8 = 27/8
2 1/3 = 2 + 1/3 = 6/3 + 1/3 = (6+1) / 3 = 7/3
Then:
3 3/8 x 2 1/3 = 27/8 x 7/3 = (27x7) / (8x3)
= 189 / 24 = 168/24 + 21/24 = 7 + 21/24
= 7 + 7/8
= 7 7/8
Solve using substitution.
x = –3
x + 7y = 18
(, )
The value of y in the expression x + 7y = 18 when x = - 3 is 3.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
We know Substitution in mathematics is when we replace some specific numerical values with variables according to our wants or given in the problem.
Given, x = - 3 and x + 7y = 18.
Replacing x with - 3 in x + 7y = 18.
- 3 + 7y = 18.
7y = 18 + 3.
7y = 21.
y = 21/7.
y = 3
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Can someone tell me what number on the number line is greater than -9 for an inequality?
Draw a circle over the number to begin plotting an inequality, such as x>9, on a number line (e.g., 9). If the sign also says equal to (or), then complete the circle.
What is inequality in math example?An inequality compares two values and indicates whether one is lower, higher, or just not equal to the other. It is implied by the expression a b that a and b are not equal. If a b, then a must be smaller than b. When a > b, an is greater than b.A relationship between two expressions or values that is not equal to each other is known as inequality in mathematics. So inequality emerges from an imbalance.When resolving an inequality, you can either add or subtract the same amount from each side, or multiply or divide each side by the same positive amount. The inequality sign appears if each side is multiplied or divided by a negative number.To learn more about inequality refer to:
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what is the following product? Assume x>0 3root x^2 times 4 root x ^3
the product of the given expressions will be x([tex]x^{5/12}[/tex])
What is a fraction?
If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.
Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.
[tex]x^{2/3}[/tex] * [tex]x^{3/4}[/tex]
= [tex]x^{2/3+3/4}[/tex]
=[tex]x^{17/12}[/tex]
=x([tex]x^{5/12}[/tex])
Hence the product of the given expressions will be x([tex]x^{5/12}[/tex])
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What is the axis of symmetry and vertex for the function /( x 3 x 2 2 4?.
The axis of symmetry is the y-axis and the vertex for the function
f(x) = 3(x - 2)²+ 4 is (2,4).
Given f(x) = 3(x - 2)² + 4
The graph will be symmetrical to the y-axis and since a> 0, the parabola opens up.
The axis of symmetry is the line that divides a parabola into two symmetrical parts. The vertex is the point where the axis of symmetry intersects the parabola.
The axis of the symmetry is x=2
The vertex form of a parabola is y = a (x - h)²+ k
The vertex is given by (h,k) coordinates.
In order to find the vertex, we need to compare the given equation to the vertex form of the parabola.
f(x) = 3(x - 2)²+ 4=0
a = 3, h = 2 and k = 4
Thus the vertex of the function is (2,4).
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A flu epidemic has hit a local day care facility.
The population of sick children is represented
in the equation below where P is the number
of sick children, and t is the number of days
since the first child was diagnosed. How
many days will it take for 50 children to catch
the flu?
P =
110
1+7e-0.22t
It will take 8 days for 50 children to catch the flu
How to determine the number of days?
The given equation states as follows:
P = 110/(1+7e⁻⁰²²ⁿ (Where n stands for t)
P = 110/(1+7e⁻⁰²²ⁿ = 2.2
7.e⁻⁰²²ⁿ = 2.2 - 1
7.e⁻⁰²²ⁿ = 1.2/7
0.22n = In (12/7)
n= 8.02
Recall that n=t
Therefore t = .02
Therefore time = 8 days
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For what value of k do the equations 6x Ky =- 16 and 3x y 8 0 represent coincident line?.
The given equations 3x - y + 8 = 0 and 6x - ky = -16 represent coincident lines if the value of k is 2.
Given the pair of equations is
3x - y + 8 = 0
6x - ky = -16 describes coincident lines.
We have to calculate the value of k.
We know that,
For a pair of linear equations in two variables a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0,
If a₁/a₂ = b₁/b₂ = c₁/c₂, then the pair of linear equations is dependent and consistent.
We have, a₁ = 3, b₁ = -1, c₁ = 8
a₂ = +6, b₂ = -k, c₂ = +16
So, a₁/a₂ = 3/6 = 1/2
b₁/b₂ = -1/-k = 1/k
c₁/c₂ = 8/16 = 1/2
a₁/a₂ = b₁/b₂ = c₁/c₂ = 1/2
1/k = 1/2
k = 2
Therefore, the value of k is 2.
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What is the distance between − 2 − 3 and − 4 − 5 )?.
The distance between points (2, 3) and (-4, 5) is 6.3 units.
As we know according to the distance formula the distance between points (x₁, y₁) and (x₂, y₂) is given by,
[tex]d = \sqrt{[(x_2 - x_1)^2 + (y_2 - y_1)^2]}[/tex]
Here we have been given points (2,3) and (-4,5)
Let us assume that (x₁, y₁) = (2, 3)
and (x₂, y₂) = (-4, 5)
Let d represents the distance between points (2,3) and (−4,5)
Using above distance formula the distance d between given points would be,
[tex]\Rightarrow d = \sqrt{[(x_2 - x_1)^2 + (y_2 - y_1)^2]}\\\\\Rightarrow d = \sqrt{[(-4 - 2)^2 + (5 - 3)^2]}\\\\\Rightarrow d = \sqrt{[(-6)^2 + (2)^2]}\\\\\Rightarrow d = \sqrt{36+4}\\\\\Rightarrow d = \sqrt{40}\\\\\Rightarrow d = 6.3~units[/tex]
Therefore, the distance is 6.3 units.
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The complete question is:
What is the distance between points (2,3) and (−4,5) ?
A scale on a blueprint drawing of a house shows that 10 centimeters represents 2 meters. what number of actual meters are represented by 18 centimeters on the blueprint?
The required number of actual meters represented by 18 centimeters on the blueprint is 3.6 meters.
What is the scale factor?The scale factor is defined as the ratio of the modified change in length to the original length.
Here,
A scale on a blueprint drawing of a house shows that 10 centimeters represent 2 meters.
Scale factor,
10 centimeter: 2 meters = 1 centimeters : 0.2 meters
So,
18 centimeters = 18 × 0.2 meters = 3.6 meters.
Thus, the required number of actual meters represented by 18 centimeters on the blueprint is 3.6 meters.
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What is the value of k such that the following pair of equations have infinitely many solutions?.
For the value of k is equal to 6, the system of equations,
kx + 3y - (k – 3) = 0 and 12x + ky - k = 0 have infinitely many solutions
Here we have equations
kx + 3y - (k – 3) = 0
12x + ky - k = 0
For a system of 2 linear equations,
a₁x + a₂y + a₃ = 0
b₁x + b₂y + b₃ = 0
They will have infinitely many solutions if
a₁/b₁ = a₂/b₂ = a₃/b₃
here,
k = a₁, 3 = a₂ - (k – 3) = a₃
12 = b₁ k = b₂ - k = b₃
Hence
k/12 = 3/k = (3 - k)/(-k)
Taking up
3/k = (3 - k)/(-k)
we get
3 = k - 3
or, k = 6
hence for k = 6, the equations will have infinite solutions.
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Complete Question
What is the value of k such that the following pair of equations has infinitely many solutions?
kx + 3y - (k – 3) = 0
12x + ky - k = 0
Work out x^2- 2x
when x =4
Answer:
8
Step-by-step explanation:
[tex]x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8[/tex]
Solve for x...............
[tex]\bf 4x+6=14[/tex]
1. Craig borrowed $1,200 from his parents to buy a stereo. His parents charged him 5% simple interest for 3 years. How much interest did he pay his parents?
If 25% of a number is 90 and 70% of the same number is 252, find 95% of that number.
Based on the information provided, 95% of the number is equivalent to 342.
How to find the number?To find the 95% of the number, let's use the rule of three with the information provided to find the 100%.
25% = 90 100% = xBased on this, let's create a simple equation:
x = 100 x 90 / 25 = 360Therefore, 100% of this number is 360, now using this information, let's find the 95% of the same number.
360 / 100 x 95 = 342You can double check this result using the 70% as follows
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There are eight different sizes of puzzles. Each person takes a turn selecting and keeps it. What is the probability that the first puzzle chosen is a 100-peice and the second is a 1000-piece puzzle
Answer:
Step-by-step explanation:
the answer to the first puzzle being choose will be 100 pieces is 8 out of 100
How does the sum rule work?.
The formula for the sum rule is: P(A or B) = P(A) + P(B) - P(A and B)
The sum rule, also known as the addition rule of probability, states that the probability of any two events occurring together is the sum of the probability of each event occurring individually, minus the probability of them both occurring at the same time. The formula for the sum rule is:
P(A or B) = P(A) + P(B) - P(A and B)
where A and B are two events and P(A) and P(B) are the probabilities of each event occurring individually, and P(A and B) is the probability of both events occurring at the same time.
The sum rule is used when the two events are mutually exclusive, meaning that they cannot happen at the same time. In this case, P(A and B) = 0, so the formula becomes:
P(A or B) = P(A) + P(B)
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For the following set of data, find the percentage of data within 2 population standard deviations of the mean, to the nearest 10th of a percent. 90, 40, 63, 62, 65, 67, 63, 68 90, 40, 63, 62, 65, 67, 63, 68
The percentage of data within 2 standard deviations of the mean is given as follows:
100%.
What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.Using a calculator, the measures for this problem are given as follows:
Mean: 64.75.Standard deviation: 12.65.The bounds within two standard deviations of the mean are given as follows:
64.75 - 2 x 12.65 = 39.45.64.75 + 2 x 12.65 = 90.05.All the measures in this problem are within these bounds, hence the percentage is of 100%.
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