Answer:
103.5
Step-by-step explanation:
Multiply x on both sides
xtan12 = 22
Now divide tan12 to isolate x
x = (22) / (tan(12))
Now we know that calculator should be in degree mode because the answer choices do not have the radian mode answer. When your calculator is in Degree mode and you calculate this value you get approximately 103.5
The value of x if tan 12 = 22/x is 103.5
Given the trigonometric expression:
tan 12 = 22/x
We need to get the value of "x"
Cross multiply
x tan12 = 22
x = 22/tan12
x = 22/0.2126
x = 103.529
Hence the value of x if tan 12 = 22/x is 103.5
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A machine can make 5 miles of ribbon in an hour. Write an equation to show how much ribbon, r, is made after x hours. What will the length of the ribbon be in 8 hours?
Another machine can make 8 miles of ribbon in an hour. Write an equation to show how much ribbon, r, is made after x hours. How much ribbon will this machine make in 8 hours?
Answer: see below
Step-by-step explanation:
r=5x
r=5(8)
r=40
the length of the ribbon be 40 miles in 8 hours
r=8x
r=8(8)
r=64
the length of the ribbon be 64 miles in 8 hours
what is 4/y+2=10/5y?
Choose the equation of the line parallel to the line that passes x-2 that passes through the point (0,4). A y=x+4 C y=x+2 B y = 4x-2 D y = 2x + 4 c1
You have to find the equation of a line that is parallel to the line:
\(y=x-2\)And passes through the point (0,4)
Two lines that are parallel have the same slope, in this exercise, in the equation of the line parallel to the one we have to determine we can see that the x-term is "alone". The slope of the line is the coefficient that multiplies the x-term, this value is not written, but the x-term is, in reality, being multiplied by "1", which represents the slope of the line.
So, the slope of the line we are looking for is m=1
Now that we know the slope of the line, using the point-slope form, you can determine the equation of the line:
\(y-y_1=m(x-x_1)\)Where
m represents the slope of the line
(x₁,y₁) represents one point of the line
Replace the expression with m=1 and (x₁,y₁)=(0,4)
\(\begin{gathered} y-4=1(x-0) \\ y-4=1\cdot x \\ y-4=x \end{gathered}\)Pass "-4" to the right side of the expression by applying the opposite operation to both sides of the equal sign:
\(\begin{gathered} y-4+4=x+4 \\ y=x+4 \end{gathered}\)The equation of the line, that is parallel to y=x-2 and passes through the point (0,4) is:
\(A)\text{ y=x+4}\)these fractions are in order from least to greatest
8/7, 1 2/5, x, 1 2/3, 2
which value of x would keep the list in order from least to greatest
a. 1 1/6
b. 8/5
c. 1 7/10
d. 7/3
Answer:
B
Step-by-step explanation:
i took da test
The value of x is 1.6 or 8/5 which makes the order 8/7, 1 2/5, x, 1 2/3, and 2 from least to greatest option (B) 8/5 is correct.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
These fractions are in order from least to greatest:
8/7, 1 2/5, x, 1 2/3, 2
As we know the number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, 1/2, 4/5, 3/7, etc are the numbers.
The fractions number are: 8/7, 1 2/5, x, 1 2/3, 2
The fraction can be written as a decimal:
8/7, 7/5, x, 5/3, 2
or
1.14, 1.4, x, 1.66, 2,
x will be 8/5 = 1.6
Thus, the value of x is 1.6 or 8/5 which makes the order 8/7, 1 2/5, x, 1 2/3, and 2 from least to greatest option (B) 8/5 is correct.
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Which angle number represents SXU?
 
                                                Answer:
Angle 2
Step-by-step explanation:
Find S and find X.
Then find U.
The angle at X connected to S and U is the angle number.
An online test of English spelling looked at how well people spelled difficult words. The bar graph to the right shows how many people per 100 spelled each word correctly. a. Estimate the number of people per 100 who spelled weird correctly. Round to the nearest 5. b. In a group consisting of 8724 randomly selected people, estimate how many more people can correctly spell weird than inoculate.
Answer:
the correct answer would be 8725 because 8724 is closer to 8725
Step-by-step explanation:
8720-------8724--8725
What is the value of 4p − 2, when p = 8? 16 24 30 34
Answer:
4p - 2
4(8) - 2
32 - 2 = 30
The answer is 30.This is because you have to substitute the value of the number they give into the equation. This will give you the number of 4 to be multiplied by 8. This is because the x is the number 8.
Hope this helped!
Answer:
What is the value of 4p − 2 when P 8?
the answer is 30.
Step-by-step explanation:
 
                                                            Pedro earns $94.50 for 6 hours of work. If he makes a constant hourly wage, which table represents the relationship between the number of hours he works and his total earnings?
please help me
 
                                                Answer:
The answer is most likely A.
The reason why, is because since the earning in 6 hours is $94.50, so the hourly wage would be, $15.75 because:
94.50/6 = 15.75
Graph B, for the first hour, the amount of dollars is correct, but in 11 hours, it says 25.75, which is not correct so Graph B cannot be it.
Graph C, shows that at hour 1, that it is 15.75 dollars, but at hour 2 16.75, as well with hour 3, 17.75. The graph is showing an increase of 1 dollar per hour, which is not correct so graph C is not it.
Graph D shows that at hour 6, there is $94.50, which is correct, but at hour 12, its 100.50. This is not true because , the hour has increased by 6, and when it increased by 6, the amount of pay increased by 6 as well, which is not the right way in which you would do so.
Option A is correct!
Step-by-step explanation:
Hope it helps! =D
How do I solve for this?
 
                                                Answer: \(cosx =- \sqrt{ 1 - sin^2x}\)
Step-by-step explanation:
Generally speaking; \(cos^2x + sin^2x = 1\)
rearranging this gives us all sorts of cool things.
for now, we will use: \(cosx = \sqrt{ 1 - sin^2x}\)
This however, is general.
In the third quadrant, cosine is negative. So cosx in QIII will be:
\(cosx =- \sqrt{ 1 - sin^2x}\)
and thats the answer :)
Solve for X...........
 
                                                Answer:
x = 60°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesGeometry
A box on an angle signifies a 90° angleAll angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set up equation
x° + 90° + 30° = 180°
Step 2: Solve for x
Combine like terms: x + 120 = 180Subtract 120 on both sides: x = 60°Find the arclength of the curve r(t) = <4√2, \(e^{4t}\) , \(e^{-4t}\) > , 0 \(\leq\) t \(\leq\) 1
The arc length of the curve is 4 units.
What is the arc length of a curve?
The arc length of a curve is the distance along the curve between two points. More specifically, it is the length of the curve segment that connects the two points, as measured by a straight line. In other words, it is the length of the curve that is "covered" when moving from one point to another along the curve.
The formula for finding the arc length of a curve in two or three dimensions involves integrating the magnitude of the derivative of the curve with respect to a parameter that describes the curve. In two dimensions, this parameter is typically denoted by t, while in three dimensions it is often denoted by s. The formula is:
L = ∫_aᵇ ∥r'(t)∥ dt
where r(t) = <x(t), y(t)> or r(t) = <x(t), y(t), z(t)> is the equation of the curve, r'(t) is its derivative with respect to t, and ∥ ∥ denotes the magnitude of a vector. The integral is evaluated from the starting value a to the ending value b of the parameter t or s.
Finding the arc length of a curve is an important problem in mathematics, and has many applications in physics, engineering, and other fields where the length of a curve needs to be calculated.
The given equation represents a curve in 3D space, defined by the function r(t) = <4√2,>, where 0 ≤ t ≤ 1. The missing coordinate indicates that the curve lies in a plane perpendicular to the z-axis, and therefore we can treat the problem as a 2D curve in the xy-plane.
To find the arclength of the curve, we use the formula:
L = ∫_aᵇ ∥r'(t)∥ dt
where r'(t) is the derivative of r(t) with respect to t, and ∥ ∥ denotes the magnitude of a vector.
The derivative of r(t) is:
r'(t) = <0, 4, 0>
and the magnitude of r'(t) is:
∥r'(t)∥ = √(0² + 4²+ 0²) = 4
Therefore, the arclength of the curve is:
L = ∫_0¹ 4 dt = 4t |_0¹ = 4
So the arclength of the curve is 4 units.
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A whale is 85 m below sea level. He swims and descends until he reaches 100m below sea level. How many meters did it travel?
i Ready Understand Absolute Value - Inst Compare the two numbers. -6 or -7
-7 is less than -6 and -6 is greater than -7.
The absolute value of -7 is greater than the absolute value of -6 and the absolute value of -6 is less than the absolute value of -7.
Help me out please!
No links please I’ll report you
Show work!
I’ll give brainiest 
 
                                                Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have
side lengths 1 cm?
Add the lengths of the horizontal and vertical segments, and then subtract 5 because the diagonal side is 4 units
wide and 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then subtract 3 because the diagonal side is 4 units
wide but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 3 because the diagonal side is 4 units wide
but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide
and 2 units tall.
The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;
Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
What is an estimate of an amount?An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.
Please find attached a diagram of the possible figure created with MS Word
The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;
Base length = 5 units
Height = 4 units
The figure has a diagonal side which is 4 units wide and 2 units tall.
The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5
The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
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                                                            find the value of log 3 base 81.
Exact value
Decimal form
0.47712125
Answer:
\(log_{81} 3 = \frac{1}{4}\)
Step-by-step explanation:
\(Let \; log_{81} 3 = x \\\therefore 3 = {81}^x ..(by\: changing\: in \: exponential\: form)\\\therefore 3^1 = {3}^{4x}\\\therefore 1 = 4x.\\(\because bases \: are \: equal,\: hence \: exponents\: will\: also\: be \: equal)\\\therefore x = \frac{1}{4}\\\\\huge\purple{\boxed{\therefore log_{81} 3 = \frac{1}{4}}}\)
An aircraft has 36 seats available for passengers. The cost per adult is $948 and $748 per child to fly from Melbourne to Cairns. A total of $28,648 was raised on this flight which had all seats fully sold out. 
Let x be the number of adults 
Write the expression for the number of adult passengers in terms of X.
Answer:
x
Step-by-step explanation:
The number of adults is given to be x.
If x = 36 and y = 40 and “x varies directly as y”, then find “x” when y = 80.
Answer:
x= it will be 76
what is relative intrest
Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.
1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.
2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.
3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.
4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.
5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.
6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.
Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.
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2^8+6(7-1)+4 does this equal 56
Answer:
nope
Step-by-step explanation:
it acutally equals to 292 I am sure!
How do I figure the problem out? Must show work
Answer:
Where is the problem??
Step-by-step explanation:
4) Ms. Robb had 42,456 students sign up for Math Club. What is
42,456 rounded to the nearest ten thousand?
- Using Determinant, Find the value of K below are which the consistent equations for 3x + y + 2 = 0 - 4x + 2Y = K = 0 3X - Y -3K = 0 value are
Using the system of equation and determinant given, the value of k is any real number except -1/3
What is DeterminantThe determinant is a scalar value that can be computed from the elements of a square matrix. It is a useful tool in linear algebra and is used in many applications, including solving systems of linear equations, finding the inverse of a matrix, and calculating the volume of a parallelepiped.
Given the system of equations 3x + y + 2 = 0, -4x + 2y = k and 3x - y - 3k = 0.
We can write these equations in matrix form as AX = B, where A is the coefficient matrix, X is the variable matrix and B is the constant matrix.
A = [3 1 2]
[-4 2 k]
[3 -1 -3k]
X = [x]
[y]
[k]
B = [0]
[0]
[0]
To find the value of k for which the system is consistent, we need to find the determinant of the coefficient matrix.
|A| = (3)(2k) - (1)(-4) + (2)(3) = 6k + 2
For the system of equations to be consistent, the determinant of the coefficient matrix should not be equal to zero.
So, |A| = 6k + 2 ≠ 0
Therefore, the value of k can be any real number except -1/3.
So, the value of k can be any real number except -1/3. The system of equations is consistent for all real numbers except -1/3.
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A company earns £3,178,784 in 2016. 4/7 of the income is spent on salaries.
How much money does the company spend on salaries in 2016?
gasta 1816448 en salarios
Step-by-step explanation:
Suppose that you are interested in determining the average height of a person in a large city. You begin by collecting the heights of a random sample of 196 people from the city. The average height of your sample is 68 inches, while the standard deviation of the heights in your sample is 7 inches. The standard error of your estimate of the average height in the city is
Answer:
The standard error of your estimate of the average height in the city is 0.5 inches.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
You begin by collecting the heights of a random sample of 196 people from the city.
This means that \(n = 196\)
The standard deviation of the heights in your sample is 7 inches.
This means that \(\sigma = 7\)
The standard error of your estimate of the average height in the city is
\(s = \frac{\sigma}{\sqrt{n}} = \frac{7}{\sqrt{196}} = 0.5\)
The standard error of your estimate of the average height in the city is 0.5 inches.
|2x| if x<0
Help please
The expression simplifies to |2x| = -2x, when x<0 by definition of absolute value
If x<0, then the expression |2x| simplifies to -2x.
The absolute value of a number is the distance of the number from zero on the number line.
Since x is negative in this case, 2x will be negative as well.
Taking the absolute value of -2x will give us the opposite of -2x, which is 2x.
However, since we know that x<0, this means that -2x will always be a positive number.
Hence, the expression simplifies to |2x| = -2x, when x<0.
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Complete question
Simplify the expression |2x| when x is less than 0, x<0
what is the most effluence first step to isolate the variable term on one side of this equation -9x=-4x+5
A geometric series has a common ratio of 3/5 series and an initial value of 1/2. Which of the following is not a term in the geometric series? 13/125 9/50 or 27/250
Answer: 27/250
Step-by-step explanation:
Given :
b₁ = 1/2
q = 3/5
\(\bullet ~~ \tt b _n = b_1 \cdot q^{n-1}\)
Since we are looking for a term belonging to a given progression , then 
n ∈  N ,  and this condition will be met only in the variant  
\(\displaystyle \large \boldsymbol{}b_n = \frac{27}{250} \\\\ b_1 \cdot q^{n-1} = \frac{27}{250} \\\\\\ \frac{1}{2} \cdot \bigg (\frac{3}{5} \bigg )^{n-1} = \frac{27}{250}\\\\\\ \bigg (\frac{3}{5} \bigg )^{n-1} = \frac{27}{125} \\\\\\ \bigg (\frac{3}{5} \bigg )^{n-1} = \bigg (\frac{3}{5} \bigg ) ^3\\\\\\ n -1 = 3 \\\\ n = 4 \in \mathbb N\)
(4x - 20) I really need help on this
Answer:
-80
Step-by-step explanation:
To find x, set the equation equal to zero
4x-20=0
the next step is to isolate the variable, you can do this by adding 20 to both sides, remember when you change one side of the equal sign you must do the same to both
4x=20
now you can divide by 4 to get x by itself, again divide both sides of the equation
4x/4=20/4
x=5
After doing the division we see that x is equal to 5, and you can always check to see if your answer is correct by plugging it back into the equation:
4(5)-20=0
20-20=0
Hope this helps :)
HELP!! Create a system of equations with the solution (-4, 1)
9514 1404 393
Answer:
x -y = -5
3x +y = -11
Step-by-step explanation:
We assume you want two linear equations. Since you know a point on each line, the only thing you need to choose is the slope of the two lines through that point. We can make the slopes be +1 and -3, for example. Then the point-slope equations are ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -1 = +1(x +4)
y -1 = -3(x +4)
We can use these equations "as is", or put them in whatever form you like. I personally prefer "standard form:" ax+by=c.
First equation:
y -1 = x +4 . . . . . . eliminate parentheses
-5 = x -y . . . . . . . keep positive x term, put x and y together, separate from the constant
x - y = -5 . . . . . . standard form
Second equation:
y -1 = -3x -12 . . . . eliminate parentheses
3x +y = -11 . . . . . . add 3x+1 to both sides
__
A system of equations with solution (-4, 1) is ...
x - y = -53x + y = -11