Calculator with inverse tangent is a calculator with four basic arithmetic operations and variety of functions such as logarithms, exponents, trigonometric functions etc.
A calculator with inverse tangent, commonly known as a scientific calculator, is a type of electronic calculator designed to perform mathematical calculations beyond basic arithmetic. In addition to the four basic arithmetic operations (addition, subtraction, multiplication, and division), it includes a variety of functions such as logarithms, exponents, trigonometric functions (sine, cosine, tangent), and their inverse functions (arcsine, arccosine, and arctangent).
The inverse tangent function, also known as arctangent, is one of the trigonometric functions that is commonly included in scientific calculators. It is used to determine the angle between the x-axis and a line drawn between the origin and a point on the graph of a function. In other words, it helps to find the angle whose tangent is a given number.
To use the inverse tangent function on a calculator, you will typically need to press the "tan^-1" or "arctan" button, followed by the number you want to find the arctangent of. The calculator will then display the angle in radians or degrees, depending on the mode it is set to.
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A student provided the steps for solving an equation. Which statement describes the error in the solution? Equation: 8-1=3(4-5a) Solution: 16-a-6(4-5a) 16-a-24-5a 16+4a=24 4a=8 a=2 (step 1) (step 2) (step 3) (step 4) (step 5) In step 2, the Distributive Property was applied incorrectly. In step 5, the Multiplication Property of Equality was applied incorrectly. In step 1, the Multiplication Property of Equality was applied incorrectly. In step 3, the Addition Property of Equality was applied incorrectly.
The error in the solution is that, In step 2, the Distributive Property was applied incorrectly.
What is meant by Solving Equations?Equations are mathematical expressions consisting of two or more variables and constants on two sides connected by an equal to sign.
Solution of the equation is the value of the variable that the equation holds true.
Given equation is,
8 - [tex]\frac{a}{2}[/tex] = 3 (4 - 5a)
Using the multiplication property of equality, multiplying whole equation by 2,
(2 × 8) - a = 6 (4 - 5a)
16 - a = 6 (4 - 5a)
Distributive property states that, for three numbers or expressions, a, b and c,
a (b + c) = ab + ac
Applying that,
6 (4 - 5a) = (6 × 4) - (6 × 5a) = 24 - 30a
But the student didn't multiply 6 with 5a, and thus he got 24 - 5a in step 2.
Hence the incorrect step is step 2 because of incorrect use of distributive property.
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Your question is a bit confusing. The complete question with an image is given below.
A student provided the steps for solving an equation. Which statement describes the error in the solution?
Equation : 8 - [tex]\frac{a}{2}[/tex] = 3 (4 - 5a)
what is the instantaneous rate of change calculator?
The instantaneous rate of change calculator is the tool that displays the rate of change
The change in the rate at a certain point is referred to as the instantaneous rate of change in mathematics. It is equivalent to the rate of change in a function's derivative value at a particular location. The obtained graph is identical to the slope of the tangent line if a graph for the instantaneous rate of change at a particular point is drawn.
A free online tool known as the Instantaneous Rate of change calculator shows the rate of change, the first-order differential equation for the specified function. This tool speeds up the calculation and shows the rate of change at a particular position in a split second. With time, the tool is now widely accepted and is often used is variety of calculations.
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What is the slope of the line that passes through the points (-5,6) and (-9,-6) write answer in simplest form
Answer:
m = 3
Explanation:
the slop is 3
The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.
The length of side x in simplest radical form with a rational denominator is [tex]\sqrt{3} /2[/tex].
What is the equilateral triangle?
In an equilateral triangle, all sides are equal in length.
That means that all the angles of the triangle will be congruent.
Since a triangle has 3 angles that always add up to 180 degrees, each angle is 60 degrees.
Therefore, the hypotenuse of the equilateral triangle is 1.
So,
[tex]x = 1 * sin60[/tex]°
[tex]x = 1 * \sqrt{3} /2\\x = \sqrt{3} /2[/tex]
Hence, The length of side x in simplest radical form with a rational denominator is [tex]\sqrt{3} /2[/tex].
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MaryAnn is printing photos from her recent trip to Europe. An online print shop charges $0.15 per 4x6-inch print, along with a $3.00 fee shipping charge. If MaryAnn has $35 to spend, how many prints can she order?
MaryAnn can order a total of 213 prints for cost $35, including shipping.
Each print costs $0.15, so MaryAnn can order $35/$0.15 = 233.33 prints, but since she can only order whole prints, she can order a maximum of 233 prints.
The shipping charge is a flat fee of $3.00 per order, regardless of how many prints MaryAnn orders.
Let's say MaryAnn orders x prints, then her total cost would be:
Cost = $0.15 x + $3.00
Since her total cost can't exceed her budget of $35, we can set up the following inequality:
$0.15 x + $3.00 ≤ $35.00
Subtracting $3.00 from both sides, we get:
$0.15 x ≤ $32.00
Dividing both sides by $0.15, we get:
x ≤ 213.33
Since MaryAnn can only order whole prints, she can order a maximum of 213 prints.
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a plumer charges $25 for a service call plus $50 per hour of service. write an equation in slope - intercept form for cost , c ,after h hours of service, what will be the total cost for 8 hours of work? 10 hours of work
The total cost for 10 hours of work would be 25 + 50(10) = 525.
What is cost?Cost is the monitorial associated with the purchase of production of food or service if can include the prices of material of which is over it and other expenses that are related to the production of the code of service cost is a major fraction of when deciding whether to purchase a product something as it is and indicator of the value of the product of sound service.
The marginal cost of producing 5 items can be calculated using the equation C(x)=1300+4x/10. The marginal cost is the cost associated with producing one additional item. To calculate the marginal cost, we can plug in x=5 into the equation.
The equation in slope-intercept form for cost, c, after h hours of service is c = 25 + 50h.
The total cost for 8 hours of work would be 25 + 50(8) = 425.
The total cost for 10 hours of work would be 25 + 50(10) = 525.
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how to convert 147 cm in feet?
The conversion of the unit centimeters to feet is written as 147 centimeters = 4.82283 feet.
Centimeters and feet are the units that are used for measuring the length of the any given parameter.
Conversion of the unit centimeter into feet is written as :
Value of one centimeter = 0.0328084 feet.
To convert the given value 147 centimeters substitute in the given relation we have,
⇒ ( 147 × 1 ) centimeters = ( 147 × 0.0328084 ) feet
⇒ 147 centimeters = ( 4.822835 ) feet
⇒ 147 centimeters = ( 4.8228 ) feet ( Round upto four decimals )
Therefore, after conversion the measurements centimeters to feet we have 147 cm is equal to ( 4.8228 ) feet ( Round upto four decimals ) .
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]Which are the solutions of x2 = 19x + 1
Answer:
x = [tex]\frac{1}{19}[/tex]
Step-by-step explanation:
2 = 19x + 1 Subtract 1 from both sides
2 - 1 = 19x + 1 - 1
1 = 19x Divide both sides by 19
[tex]\frac{1}{19}[/tex] = [tex]\frac{19x}{19}[/tex]
[tex]\frac{1}{19}[/tex] = x
In January a baby elephant weighs 180kg. By March the weight of the baby elephant had increased by ⅜. Work out the weight of the baby elephant in March
The weight of th baby elephant in the month of March would be 247.5 Kg.
What is weight?Weight of a body is the force exerted by the earth on the body on the surface of the earth towards its center.
Given is that in January a baby elephant weighs 180kg. By March the weight of the baby elephant had increased by ⅜.
Assume the weight of the baby elephant in March would be {x} Kg. We can write -
{x} = 180 + 3/8 of 180
{x} = 180 + 3/8 x 180
{x} = 180 + 67.5
{x} = 247.5 Kg
Therefore, the weight of th baby elephant in the month of March would be 247.5 Kg.
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100 points and brainliest!!!!!!!!
The system of equations has no solution. Option A is the correct optio.
What is the system of equations?
Simultaneous equations, or a system of equations, Two or more equations in algebra must be solved jointly. The number of equations must match the number of unknowns for a system to have a singular solution.
Given system of equations is
3x - 9y =0 .....(i)
-x + 3y = -3 .....(ii)
Multiply -3 with equation (ii)
3x - 9y = 9 .....(iii)
Subtract equation (i) from (iii):
3x - 9y = 9
3x - 9y =0
________
0 = 9
Which is a false statement.
Thus the system of equations has no solution.
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Answer:
the answer is A. 0
Prove that: [tex]x^-1/x^-1 + y^-1 + x^-1/x^-1-y^-1 = 2y^2/y^2-x^2[/tex]
It is proved that x⁻¹/(x⁻¹ + y⁻¹) + x⁻¹/(x⁻¹ - y⁻¹) = 2y²/(y² - x²).
What is an equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions written on the left and right sides. We have LHS = RHS (left-hand side = right-hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it contains no "equal to" symbol. It will be regarded as a phrase.
Given that
x⁻¹/(x⁻¹ + y⁻¹) + x⁻¹/(x⁻¹ - y⁻¹) = 2y²/(y² - x²)
Now solve the left-side expression:
L.H.S =
x⁻¹/(x⁻¹ + y⁻¹) + x⁻¹/(x⁻¹ - y⁻¹)
Now apply the formula a⁻¹ = 1/a:
= (1/x)/(1/x +1/y) + (1/x)/(1/x - 1/y)
= (1/x)/((x+y)/xy) + (1/x)/((y-x)/xy)
Now taking common (1/x)/(1/xy):
= (1/x)/(1/xy)[1/(x+y) + 1/(y-x)]
= (xy)/(x)[(y - x + x + y)/(x+y) (y-x)]
= y[2y/(x+y) (y-x)]
Applying the algebraic identity (x - y)(x + y) = x² - y²:
= 2y²/(y² - x²)
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This graph represents a transformation of the parent cube root function.
Replace the values of h and k to create the equation of the transformed function.
The transformed parent cube root function's equation is,
y = ∛(x-4) - 1.
How can one tell if a point is located on a function's graph?The equation of the function is satisfied by all (and only those) points that lie on the graph of the function.
Hence, if a point fits on a function's graph, it must also fit the function.
The parent cube root function is transformed in the shown graph
The Parent cube root function is
y = ∛(x -h) - k
where the value of h and k is equal to 0
h=0, k=0 in parent function
At (0,0) in the parent function, the graph changes orientation.
We can observe from the above graph that it changes direction at (4,-1) meaning it is moved 4 units to the right and 1 unit down.
So, the value of h=4 and value of k=1
The equation of the transformed function is,
y = ∛(x-4) - 1
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Mr.Punch is making a drink with a volume of 1 gallon 3 pints.If each adult is served 2 cups and each kid is served 1 cup, how many ways the adults and kids be served?
The number of ways the adults and the kids can be served is 831600
How to determine the ways the adults and kids be served?From the question, we have the following parameters that can be used in our computation:
Volume = 1 gallon 3 pints
By conversion
1 gallon = 8 pints
So, we have
Volume = 8 pints + 3 pints
Volume = 11 pints
Also, we have
Adult = 2 cups
Kid = 1 cup
Convert to pints
Volume = 11 pints
Adult = 4 pints
Kid = 2 pints
The number of ways is then calculated as
Ways = 11!/(4! * 2!)
Evaluate
Ways = 831600
Hence, the number of ways is 831600
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what is integral of cos?
The indefinite integral of cos(x) is sin(x) + C, and we can find the definite integral of cos(x) between two limits by evaluating sin(x) + C at the upper and lower limits and subtracting the results.
The integral of cos(x) is sin(x) + C, where C is the constant of integration.
The notation for the integral of cos(x) is ∫cos(x) dx, where the symbol ∫ represents the integral sign, cos(x) is the function being integrated, and dx represents the variable of integration, which in this case is x.
The antiderivative of cos(x) is sin(x), meaning that if we take the derivative of sin(x), we get cos(x). The constant of integration, C, is added because the derivative of a constant is always zero.
Therefore, the indefinite integral of cos(x) is sin(x) + C, and we can find the definite integral of cos(x) between two limits by evaluating sin(x) + C at the upper and lower limits and subtracting the results.
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the angle of elevation from point a to the top of a cliff is 38. if point a is 80 feet from the base of the cliff, how high is the cliff?
The height of cliff is 62.50 ft
What is height and distance?Height is the measurement of an item in the vertical direction, whereas distance is the measurement of an object in the horizontal direction from a certain location.
Given that, the angle of elevation from point A to the top of a cliff is 38°, the point A is 80 feet from the base of the cliff,
Refer to figure attached,
The scene is making a right triangle, with an acute angle 38°, and base (distance from point to base of the cliff) 80 ft, we need to find the length of perpendicular line which is the height of the cliff,
Therefore,
We know that,
tan β = ratio of the perpendicular side to base of a triangle,
Therefore,
tan 38° = AB / 80
AB = 62.50
Hence, the height of cliff is 62.50 ft
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HURRY PLEASEEEEE
Which term is −234,375 for the following sequence, assuming that the pattern continues?
3, −15, 75, −375, …
1. a8
2. a9
3. a10
4. a11
Answer:
a8
Step-by-step explanation:
Here you go.
nth term is ar^n-1
what is the answer to (7x + 2) (5x − 11)
Answer:
35xΔ2-67x-22
Step-by-step explanation:
Select all that apply.
A spinner is divided into 5 equal sections. Which of the following are true?
The theoretical probability is 20% for each section.
Each section of the spinner is equally likely to be spun.
The experimental probability is 5 for each section.
If the spinner is spun 80 times, you would predict it to land on each section 16 times.
Answer:
I'd say the first and third options would be correct.
Step-by-step explanation:
Answer:
Below
Step-by-step explanation:
If it is a fair spinner then
First option is true
second option is true
third option cannot be determined from info given
4th option is true
Yo please Can i get some help
Answer:
it will have one real solution
Step-by-step explanation:
Suppose that a certain population obeys the logistic equation dy/dt = ry[1 - (y/K)]. a. If y0 = K/3, find the time at which the initial population has doubled. Find the value of corresponding to r = 0.025 per year. b. If y0/K = , find the time T at which y(T)/K = . where 0 < < 1. Observe that T as 0 or as 1. Find the value of T for r = 0.025 per year, = 0.1, and = 0.9.
Suppose that a certain population obeys the logistic equation dy/dx= ry[1-(y/k)]
a) So if y0= K/3, then
dy/dx= ry[1-(y/k)]
The above statement is equation 1.
Equation 2 is in the form of
dy/dx + P(t)y = yⁿQ(t)
which is a Bernoulli's differential equation with n=2. So 1- 2= -1
To solve it we put
Then dz/dx= -y⁻²(dy/dx)
This above statement is equation 3.
P(t)= -r, Q(t)= -(r/K)
and integrating factor is given by
IF= e ∫(1-n)P(t)dt= e ∫(-1)(-r)dt= ert
Then the solution is given by
z(IF)= ∫(1-n)Q(t)(IF)dt+C
If given y0= K/3, then
3/K= 1/K+C
Thus the solution to this part is
y⁻1ert= ert/K+2/K= 1/K(2+ert)
To find the time at which the initial population doubled that is 2K/3
Thus
2K/3= Kert/(2+ert)
For r=0.025, then r= 55.452
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what is the average of 90 and 100?
Answer:
Step-by-step explanation:
(90 +100) / 2 = 190/2 = 95
The three sides of a triangle (triangle 2) measure a = 18. 5 in, b = 12. 2 in, and c = 50. 6 in. What are the three internal angles: α, β, and θ?
The three internal angles of the triangle are α = 21.3°, β = 139.7°, and θ = 88.9°.
We can use the Law of Cosines to solve for the angles of the triangle:
cos(α) = (b² + c² - a²) / (2bc)
cos(β) = (a² + c² - b²) / (2ac)
cos(θ) = (a² + b² - c²) / (2ab)
Substituting the values given in the problem, we get:
cos(α) = (12.2² + 50.6² - 18.5²) / (2 x 12.2 x 50.6) = 0.929
α = cos⁻¹(0.929) = 21.3°
cos(β) = (18.5² + 50.6² - 12.2²) / (2 x 18.5 x 50.6) = -0.777 (note the negative value)
β = cos⁻¹(-0.777) = 139.7°
cos(θ) = (18.5² + 12.2² - 50.6²) / (2 x 18.5 x 12.2) = 0.056
θ = cos⁻¹(0.056) = 88.9°
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7. Find the slope of a line that is parallel to the line containing the points (3, 4) and (2,6).
SOMEONE ANSWER FAST ITS THE LAST QUESTION
The slope of a line that is parallel to the line containing the points (3, 4) and (2, 6) is -2.
What is the slope of a line that is parallel to the line containing the points (3, 4) and (2,6)?To find the slope of a line that is parallel to the line containing the points (3, 4) and (2, 6), we first need to find the slope of the line containing these points. We can use the slope formula:
m = (y2 - y1) / (x2 - x1)
Where:
m = slope
(x1, y1) = coordinates of the first point (3, 4)
(x2, y2) = coordinates of the second point (2, 6)
Substituting the given values, we get:
m = (6 - 4) / (2 - 3)
m = -2
The slope of the line containing the points (3, 4) and (2, 6) is -2.
Since we are looking for a line that is parallel to this line, the slope of the parallel line will also be -2.
Therefore, the slope of the parallel line is -2.
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pls help................I attached my question.
Answer: The new perimeter is 2334 inches.
Step-by-step explanation:
The way to find perimeter is 2L + 2W. The original length was 799 inches and 23 inches were added. 799 in. + 23 in. = 822 in. The width is 245 in. 2(822) + 2(245) = Perimeter. 1844 in. + 490 in. = 2334 in. is the Perimeter.
This pattern follows the rule "multiply by 2."
4, 8, 16, 32, 64, 128
What other observation can you make about the number pattern?
Answer:
Step-by-step explanation:
256. You can make this observation because they pattern has a rule that you multiply by 2 to get the next number.
Answer:
Another observation we can make about this number pattern is that each term is obtained by doubling the previous term. This means that the pattern is an example of exponential growth, where the growth factor is 2.
We can also observe that the sequence is a power of 2, where the first term is 2^2, the second term is 2^3, the third term is 2^4, and so on. In other words, the nth term in the sequence can be represented by the formula 2^(n+1).
Additionally, we can see that the sequence is an increasing sequence, where each term is greater than the previous one. This is because we are multiplying each term by 2, which means that each subsequent term will be twice as large as the previous one.
How to calculate value of g ?
To calculate the value of g we have to multiply the G( universal gravitational constant) and M( mass of body) divide by R square.
Earth's acceleration caused by gravity, or the magnitude of g, is 9.8 m/s2. According to this, an item falling freely on Earth would accelerate by 9.8 metres per second. The gravity of the Earth is to blame for this acceleration.
The acceleration due to gravity formula is given by
[tex]g = \frac{GM}{R^2}[/tex]
Where,
G is the universal gravitational constant, G = 6.674×10-11m3kg-1s-2.
M is the mass of the massive body measured using kg.
R is the radius of the massive body measured using m.
g is the acceleration due to gravity measured using m/s2.
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What is the gradient of the surface?
The gradient of the surface can be described as a vector.
The gradient of a surface, which is a vector, represents the size and direction of the sharpest increase in value at a certain location. The magnitude of this vector, which denotes the direction of the greatest rate of rise of the surface, indicates how steep the rise is. The influence of this gradient is felt along a surface, which is the difference. It stands in for a unit that is level with the ground.
In mathematics, the vector grad f(x,y,z) = (df/dx, df/dy, df/dz) represents the gradient of a three-variable function with scalar values, f(x,y,z). Variables like optimization and electromagnetism employ the gradient of a surface, which is a crucial notion in vector calculus. In particular, the gradient of a surface is frequently used to compute the normal vector to a surface or to identify the direction of the steepest rise or drop in a landscape.
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help 25 point as soon as possible
Answer:
8x8 > 9x7 (64 > 63)
Step-by-step explanation:
Sienna Rose received $4000 cash in graduation presents. She invests it in an account earning 3.60% interest compounded monthly. How long will it take for her money to grow to $7000?
Answer:
About 16 years
Step-by-step explanation:
The formula for compound interest is
[tex]P(t)=P_{0}(1+r/n)^n^t[/tex], where P0 is the principal, r is the interest rate, n is the number of compounding periods, and t is the time in years.
For this problem, our n = 12 because there are 12 months in a single year and we must convert our percentage to a decimal (3.60/100 = 0.0360): [tex]7000=4000(1+0.0360/12)^1^2^t\\7000=4000(1.003)^1^2^t\\1.75=1.003^1^2^t\\log(1.75)=log(1.003)^1^2^t\\log(1.75)=12t*log(1.003)\\\frac{log(1.75)}{log(1.003)} =12t\\1/12*\frac{log(1.75)}{log(1.003)}=t\\ 15.56818868=16=t[/tex]
Cameron read that his favorite NBA team won their game last night by a score of 142 to 124. Which is true about the digit 2 in each number? The 2 in 142 represents a greater value than the 2 in 124 because 142 > 124. O The 2 in 142 represents a greater value than the 2 in 124 because it is farther right The 2 in 142 represents of the value of the 2 in 124. The 2 in 142 represents 10 times the value of the 2 in 124.
The correct statement about position of 2 is the 2 in 142 represents 10 times the value of the 2 in 124.
We know about the place value of digits. It states that the first digit on the Right Hand Side is the units place. Moving to the left, the next digit holds the value of tens. Moving further left the value increases 10 times.
Based on this, 142 has 2 at the leftmost place. Thus, it's value is 2. But, in the number 124, the two is at second position. It makes it value 20 (as 2 × 10 = 20). Therefore, the number in 124 is ten times of the number is 142.
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