Step-by-step explanation:
10x=12
x=12/10=6/5
PV = $250,000 / (1+0.065)^1 + $37,500 / (1+0.065)^2 + $180,000 / (1+0.065)^3 + $300,000 / (1+0.065)^4 + $750,000 / (1+0.065)^5 + $725,000 / (1+0.065)^6
The given expression represents the present value of a series of future cash flows discounted at a rate of 6.5% per year.
Each term in the expression represents a cash flow at a specific time in the future, and the denominator in each term represents the discount factor, which reflects the time value of money.
The first term, $250,000 / (1+0.065)^1, represents a cash flow of $250,000 that will be received in one year.
To determine its present value, we divide it by the discount factor (1+0.065)^1, which reflects the fact that the money will be received one year from now and is, therefore, less valuable than money received today.
Similarly, the second term, $37,500 / (1+0.065)², represents a cash flow of $37,500 that will be received in two years.
To determine its present value, we divide it by the discount factor (1+0.065)²,
which reflects the fact that the money will be received two years from now and is, therefore, less valuable than money received today.
This process is repeated for each term in the expression, representing cash flows that will be received in three, four, five, and six years, respectively.
The sum of these present values represents the total present value of the cash flows or the amount that they are worth today if they are discounted at a rate of 6.5% per year.
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Please look at the photo. Thank you.
a) A function that gives the area of the playground (in square meters) in terms of x is A(x) = 60x - x².
b) The side length that gives the maximum area that the playground can have is x = 30 m.
c) The maximum area that the playground can have is 900 m².
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths, we have:
120 = 2(x + W)
60 = x + W
W = 60 - x
Therefore, the area of the rectangular playground (in terms of x) is given by this function;
A = LW
A(x) = x(60 - x)
A(x) = 60x - x²
Part b.
For the side length, we would take the first derivative of the area:
A(x) = 60x - x²
A'(x) = dA/dx
A'(x) = 60 - 2x
60 - 2x = 0
x = 60/2
x = 30 m
Part c.
W = 60 - x
W = 60 - 30
W = 30 m.
Therefore, the maximum area is given by;
A = 30 × 30
A = 900 m².
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PLEASE HELP ON QUESTION ASAP !
Hi please help on question.If you get answer correct is be willing to give brainliest,a thanks, five stars and 10pts.
My question:
As an analogy of a circuit with resistance, think of an obstacle race . Which parts of a circuit do the obstacles represent? which part of the circuit do the people respresent?
The electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.
In the analogy of a circuit with resistance, we can compare it to an obstacle race. Here's how we can relate the different elements:
Circuit: The entire obstacle race course represents the circuit itself. It includes all the components and paths that the participants will go through.
Obstacles: The obstacles in the race represent the resistors in the circuit. Just like resistors impede the flow of electrical current in a circuit, obstacles in the race impede the progress of the participants.
People/Participants: The people participating in the race represent the flow of electric current in the circuit. They are the "charge" moving through the circuit, encountering and overcoming obstacles (resistors) to reach the finish line.
The goal of the participants (people) is to navigate through the obstacles (resistors) and complete the race (circuit) by reaching the finish line.
Similarly, in an electrical circuit, the goal is for the electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.
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Suppose a basketball team had a season of games with the following characteristics: Of all the games, 60% were at-home games. Denote this by H (the remaining were away games). Of all the games, 25% were wins. Denote this by W (the remaining were losses). Of all the games, 20% were at-home wins. Of the at-home games, we are interested in finding what proportion were wins. Which of the following probabilities do you need to find in order to determine the proportion of at-home games that were wins?A. P(H)B. P(W)C. P(H and W)D. P(H | W)E. P(W | H)
Answer:
E. P(W | H)
Step-by-step explanation:
What each of these probabilities mean:
P(H): Probability of the game being at home
P(W): Probability of the game being a win.
P(H and W): Probability of the game being at home and being a win.
P(H|W): Probability of a win being at home.
P(W|H): Probability of winning a home game.
Which of the following probabilities do you need to find in order to determine the proportion of at-home games that were wins?
This is the probability of winning a home game. So the answer is:
E. P(W | H)
Need help answering question 5
Answer:
Step-by-step explanation:
Which word describes the slope of the line?
O positive
O negative
zero
O undefined
The slope of a horizontal line is always zero.
What is slope?
The slope of a line is a measure of how steep the line is. It represents the rate at which the y-coordinate of the line changes with respect to the x-coordinate. Symbolically, it is represented by the letter m, and can be calculated using the following formula:
m = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) and (x₂, y₂) are any two points on the line.
The slope of a horizontal line is always zero. This is because a horizontal line has the same y-coordinate at every point, and therefore, there is no change in the y-coordinate for any change in the x-coordinate.
By definition, the slope of a line is the change in y divided by the change in x. In the case of a horizontal line, the change in y is always zero, since the y-coordinate does not change. So, no matter what value of x you choose, the slope of a horizontal line will always be:
slope = change in y / change in x = 0 / (any non-zero value of x) = 0
So, the slope of a horizontal line is always zero.
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Can somebody help me out for brainliest please ?
Answer:
✔️(20, 16)
✔️(15, 12) = 15 pounds of beans cost $12
Step-by-step explanation:
✔️20 pounds of beans is represented by the ordered pair, (20, 16). On the graph, when beans (x) = 20 pounds, cost (y) = $16.
✔️Also, the ordered pair (15, 12) means that 15 pounds of beans cost $12. From the graph, when beans (x) = 15 pounds, cost (y) = $12.
can anyone help me on this please
The answer is No.
14+4=18
18+5=23
23+6=29.
As you can see there is no consistency or linear function between these, unlike the x side which increases by the same number(1).
what are the assymptotes of this equation
52,080 divided by 15
Answer:
3472
Step-by-step explanation:
the answer is 3472. bc math.
Please help me with this I need the help
I really need help can somebody please tell me the answer.
Answer: the statement which is not true is: each fraction is greater than the previous fraction
Step-by-step explanation:
Because all the fractions are equivalent to 2/3 . So, they are equal
You bought $2000 worth of stocks in 2012. The value of the stocks has been decreasing by 10% each year
Part A
Write an exponential function to represent this scenario...
Format for answer...
A(T) = a (1 + r)
Part B
What will your stock be worth in 2017? Round your answer to the nearest cent.
Answer:
a(t)= 2000(1+r)^T
*make sure to add the power to t
a(t)=2000(1+.10)^5
= 3221.02
Hope this helps!
The exponential decay function is given by y=2000×0.9ˣ and the stock will be worth $1180.98 after a period of 5 years.
What is exponential decay function?In mathematics, exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula y=a(1-b)ˣ wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.
Given here: The value of the stock in 2012 was $2000 and the value decreases each year by 10%
We know the exponential decay is given by y=a(1-b)ˣ
where x is the number of years and 1-b is the decreasing factor
Thus based on the given information we can construct the exponential decay function as y=2000(1-10%)ˣ
or y=2000×0.9ˣ
Therefor in 5 years i.e in 2017 the stock will be worth
y=2000×0.9⁵
=$1180.98
Hence, The exponential decay function is given by y=2000×0.9ˣ and the stock will be worth $1180.98 after a period of 5 years.
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Suppose it takes 65 fifty pound bag of sand to fill a sandbox that medires 8ft by 8ft by 1ft. How many bags of sand would you need to completely fill a sandbox 3 meters by 2 meters
It needs 12 bags of sand to completely fill the volume of sandbox 3 meters x 2 meters x 2 meters. (3 x 2 x 2).
The sandbox is in the shape of a cuboid. The formula for determining the volume of a cuboid is expressed as
Volume = L × W × H
The website says that you’ll need 65 fifty-pound bags of sand to fill a sandbox that measure 8ft by 8ft by 1ft. The volume of the sandbox would be:
Volume = 8 × 8 × 1 = 64 ft³.
To find the number of many bags that you would need for a sandbox 6ft by 4ft by 1ft, we would find the volume first.
Volume = 3 × 2 × 2 = 12 ft³
Therefore,
If a 65 fifty-pound bags of sand will fill 64 ft³ a sandbox,
Then x fifty-pound bags of sand will fill 12 ft³ a sandbox.
x = (12 × 65)/64 = 12
Therefore, it needs 12 bags of sand to completely fill a sandbox 3 meters x 2 meters x 2 meters.
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A study was conducted to determine if the salaries of the professors from two neighbouring universities were
equal. A sample of 20 professors from each university was randomly selected. The mean from the first university
was $109,100 with a population standard deviation of $2300. The mean from the second university was $110,500
with a population standard deviation of $2100. Assume that the distribution of professor salaries, at both
universities, are approximately normally distributed. Level of significance = 0.05.
Use the four-step P-value approach and test the claim that the salaries from both universities are equal.
Answer:
After calculating values from test statics we come to know that value of if null hypothesis is true then it will rejected
As critical values of z is ±1.96 after apply the test statics formula , we get the value of z that is - 4.50 As we consider the equation that
H₀ > z
Apply test statistic we fine the true value . So there is sufficient evidence to reject the claim.
Step-by-step explanation:
critical values z₀ = ±1.96; standardized test statistic z ≅ -4.50;
reject H₀
There is sufficient evidence to reject the claim.
An automotive engineer studied the effect of car weight in tons on fuel efficiency, which is measured in miles per gallon (mpg). The data from two cars in the study showed that a 2 ton car had a fuel efficiency of 29 mpg and a 2.5 ton car had a fuel efficiency of 25 mpg. Find a linear model that gives the fuel efficiency E (in mpg) of a car as a function of its weight w (in tons).
Use the model to find the fuel efficiency (in mpg) of a car that weighs 3 tons.
It should be noted that the fuel efficiency (in mpg) of a car that weighs 3 tons will be 21 mpg.
How to illustrate the information?It should be noted that from the information, the data from two cars in the study showed that a 2 ton car had a fuel efficiency of 29 mpg and a 2.5 ton car had a fuel efficiency of 25 mpg.
It should be noted that for an increase in 0.5 tons car, the decrease in fuel efficiency is:
= 29 - 25
= 4mpg
Therefore, it should be noted that the fuel efficiency (in mpg) of a car that weighs 3 tons will be:
= 25mpg - 4mpg
= 21 mpg
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6 * 10x^{-3}/8*10x^{-6}
The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4 × 10³
Simplifying an expressionFrom the question, we are to simplify the given expression
The given expression is
6 × 10⁻³ / 8 × 10⁻⁶
Simplifying the expression
6 × 10⁻³ / 8 × 10⁻⁶
This can be written as
6/8 × 10⁻³/10⁻⁶
Reduce the fraction
3/4 × 10⁻³/10⁻⁶
Apply the division law of indices
3/4 × 10⁻³ ⁻ ⁽⁻⁶⁾
3/4 × 10⁻³ ⁺ ⁶
3/4 × 10³
Hence, the value is 3/4 × 10³
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simplify 1/x-10 / 9x/x2-9x-10
The simplified expression is \(\frac{-1}{9x} -9x - 10\).
What is algebraic expression?An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).
Here, the given expression
\(\frac{1}{x}+\frac{-10x/9}{x^2}-9x-10\)
\(\frac{1}{x}+\frac{-10}{9x}-9x-10\)
\(\frac{9-10}{9x} -9x -10\)
\(\frac{-1}{9x} -9x - 10\)
Thus, the simplified expression is \(\frac{-1}{9x} -9x - 10\).
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Billy took 5 tests in his math class. He scored an 89,88,93,90 and 81. What is the variance of his grades in these test? If necessary, round to the nearest hundredth.
The variance of Billy's grades obtained from his test scores is 15.76
What is variance?The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.
The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;
The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2
The square of the differences of the values from the mean can be calculated as follows;
(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84
The sum of the square of the differences is therefore;
0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8
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Which ordered pairs make both inequalities true? Select two options.
y One-halfx + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (negative 2, 0) and (0, 1). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 3) and (0, 2). Everything to the right of the line is shaded.
(–1, 3)
A. (0, 2)
B. (1, 2)
C. (2, –1)
D. (2, 2)
Answer:
d
Step-by-step explanation:
i took the test
Answer:
I just did this test, its 1,2 and 2,2
Step-by-step explanation:
The Giant Wheel at Cedar Point is a circle with diameter 126 feet which sits on an
12 foot tall platform, resulting in an overall height of 138 feet. Find an equation for the wheel assuming that its center lies on the y-axis and that the ground is the x -axis.
The equation of the Giant Wheel is: x²+ y² - 150y + 1656 = 0
what is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the centre.
what is equation of a circle?The group of points whose separation from a fixed point has a constant value are represented by a circle. The radius of the circle, abbreviated r, is a constant that describes this fixed point, which is known as the circle's centre. The usual equation for a circle with a centre at (x 1, y 1 ) and a radius of r is ( x- x 1 )² + ( y- y 1 )² = r²
We can start by finding the center of the circle. Since the circle is centered on the y-axis, we know that the x-coordinate of the center is 0. To find the y-coordinate, we can use the fact that the platform is 12 feet tall and the overall height of the wheel is 138 feet. This means that the center of the circle is 12 + 63 = 75 feet above the ground, so the y-coordinate of the center is 75.
Next, we can use the formula for the equation of a circle centered at (h, k) with radius r:
(x - h)² + (y - k)² = r²
Since the center of the circle is at (0, 75) and the diameter is 126 feet, the radius is 63 feet. Substituting these values into the formula, we get:
x² + (y - 75)² = 63²
Simplifying, we have:
x² + y² - 150y + 5625 = 3969
x² + y² - 150y + 1656 = 0
So the equation of the Giant Wheel is:
x² + y² - 150y + 1656 = 0
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This is difficult for me anyone know ?
The amounts of vitamin C (in milligrams) for 100g (3.57 ounces) of various randomly selected fruits and vegetables are listed. Is there sufficient evidence to conclude that the standard deviation differs from 12 mg? Use alpha = 0.10. Use a graphing calculator
Answer:
The values are missing in the question. They are : 16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2
Step-by-step explanation:
16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2
We calculate sample mean and std deviation from given data.
Sample Mean, \($ {\overset{-}X} =\frac{\Sigma (X)}{n} $\) =269.8/10=26.98
Sample Variance, \($s^2= \frac{\Sigma(X-{\overset{-}X})^2}{(n-1)}$\) =1859.496/9=206.610667
Sample std dev,s=\($\sqrt{s^2}$\)=√206.610667≈14.373958
We want to test two tailed hypothesis:
\($H_0$\) : σ=12
\($H_2$\) : σ≠12
Given: s=14.373958⇒ \($s^2$\) =206.610667,n=10
Significance level, a=0.1 Degrees of freedom, df=n-1=9
Since this is two tailed test, we need area of α=0.1 on either side of critical value. This means area of 0.05 on right of positive critical value.
Critical values are given by \($ X_{1-\alpha/2}^2 =X_{0.95}^2 \text{ and}\ X_{1-\alpha/2}^2 =X_{0.95}^2 $\) with 9 degrees of freedom.
We can use chi-square table or following excel commands:
CHISQ. INV(0.95,9)=3.32511284307
CHISQ. INV (0.05,9)=16.9189776046
Critical Values, \($X_L^2$\)=3.325 and \($X_R^2$\)=16.919
Since this is two tailed test, the decision rule or rejection criteria is:
Reject null hypothesis if test statistic is less than or equal to left critical value OR more than or equal to right critical value, i.e,
Reject \($H_0$\) if \($x^2$\)≤3.325 OR \($x^2$\)≥16.919
Test statistic is given by \($X^2=\frac{(n-1)s^2}{\sigma^2}$\) =((9)*206.610667)/144=12.913167
Test statistic, \($x^2$\)=12.913
since test statistic is between two critical values, we (do not reject \($H_0$\)) (i.e, we fail to reject \($H_0$\).
Conclusion: There is (not sufficient) evidence to conclude that standard deviation is not equal to 12 .
Alternatively, we can use p-value approach. The decision rule or rejection criteria is: reject null hypothesis if p-value is less than or equal to significance level (α), i.e, reject \($H_0$\) if p-value ≤0.1
P-value is twice the (smaller) tail area of test statistic because this is two tailed test. We can use excel function to find this. 2*M IN (CHISQ.DIST (12.913167,9, TRUE ) 1-CHISQ.DIST 12.913167,9, TRUE ) =0.333149809868
P-value =0.3331
since p-value is greater than significance level (α),we (do not reject \($H_0$\)) (i.e, we fail to reject \($H_0$\)).
Conclusion: There is (not sufficient) evidence to conclude that standard deviation is different from 12 .
What value of x is in the solution set of 2(3x-1) ≥ 4x-6?
O-10
-5
-3
0-1
Mark this and return
ܝ
Save and Exit
Next
Submit
please help will give awards
The correct range of f(x) is 4.5 and f(x) is positive for negative interval.
Define the term a function?In mathematics, a function is a relation between two sets of numbers, called the domain and the range, that assigns to each element in the domain a unique element in the range. In other words, a function is a rule that takes an input value (or values) and produces a corresponding output value (or values), where the output value is determined by applying a specific set of instructions to the input value. A function can be represented symbolically by an equation, formula, or graph, and it is typically denoted by a letter such as f(x), g(x), or h(x). The input values of a function are often referred to as the independent variable or argument, while the output values are referred to as the dependent variable.
According to the question;
\(f(x)= -\frac{1}{2} |x-4|\)
The Range of f(x) = -0.5-(-5)
f(x) = 4.5
Therefore the correct range of f(x) is 4.5 and f(x) is positive for negative interval.
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1. Find the equation of the image of the circle x² + y2 + 16x-24y + 183 = 0 by rotated the line mirror 4x + 7y + 13 = 0. 2. The image of the circle (x - 3)² + (y-2)² = 1 in the line mirror ax + by = 19 is (x-1)³ + (y-16)2 = 1 then, find the values of (a, b). 3. Find the equation of a line passing through the origin and making an angle with the 4 line y-3x-5. 4. A parabola is drawn with its focus at (3,4) and vertex at the focus of the parabola y²-12x - 4y + 4 = 0. The n find equation of the parabola. 5. If the line ax + by + c = 0 touches the circle x² + y² - 2x = and is normal to the circle x² + y² + 2x - 4y + 1 = 0, then find the value of (a, b). 6. If the line through the points (-2, 6) and (4, 8) is perpendicular to the line through the points (8, 12) and (x, 24). Find the value of x. -3 7.1² 14 231= [] then find the matrix A 8. Find the equation of the ellipse having its center at the point (2,-3), one and one vertex at (4, -3). 3 9. Find the value of x if-1 0 10. Solve the linear system using Cramer's rule a) 2 1 2 4 (6x - 4y = -12 8x - 3y = -2 X = 16 -21 3x + 2y = z = 5 b) x-y+3z = -15 (2x + y +7z = -28 one focus at (3,-3) 11. Find the value of k for which the following system of linear equations has infinite solutions: x + (k+1)y = 5 ((k+1)x + 9y = 8k - 1
Answer:
-72x - 53y + 287 = 0.
Step-by-step explanation:
To find the equation of the image of the circle, we need to reflect each point on the circle in the given line mirror.
The line mirror equation is given as 4x + 7y + 13 = 0.
The reflection of a point (x, y) in the line mirror can be found using the formula:
x' = (x - 2Ay - 2B(Ax + By + C)) / (A^2 + B^2)
y' = (y - 2Bx + 2A(Ax + By + C)) / (A^2 + B^2)
where A, B, and C are the coefficients of the line mirror equation.
For the given line mirror equation 4x + 7y + 13 = 0, we have A = 4, B = 7, and C = 13.
Now, let's find the equations of the image of the circle.
The original circle equation is x² + y² + 16x - 24y + 183 = 0.
Using the reflection formulas, we substitute the values of x and y in the circle equation to find x' and y':
x' = (x - 2Ay - 2B(Ax + By + C)) / (A^2 + B^2)
= (x - 2(4)y - 2(7)(4x + 7y + 13)) / (4^2 + 7^2)
= (x - 8y - 8(4x + 7y + 13)) / 65
= (x - 8y - 32x - 56y - 104) / 65
= (-31x - 64y - 104) / 65
y' = (y - 2Bx + 2A(Ax + By + C)) / (A^2 + B^2)
= (y - 2(7)x + 2(4)(Ax + By + C)) / (4^2 + 7^2)
= (y - 14x + 8(Ax + By + C)) / 65
= (y - 14x + 8(4x + 7y + 13)) / 65
= (57x + 35y + 104) / 65
Therefore, the equation of the image of the circle is:
(-31x - 64y - 104) / 65 + (-57x + 35y + 104) / 65 + 16x - 24y + 183 = 0
Simplifying the equation, we get:
-31x - 64y - 57x + 35y + 16x - 24y + 183 + 104 = 0
-72x - 53y + 287 = 0
So, the equation of the image of the circle is -72x - 53y + 287 = 0.
4. Which function has two
x-intercepts, one at
(5, 0) and one at (-4, 0)
f(x) = (x - 5)(x – 4)
f(x) = (x - 5)(x + 4)
f(x) = (x + 5)(x - 4)
f(x) = (x + 5)(x +4)
Answer: B) (x - 5)(x + 4)
Step-by-step explanation:
we’re looking for x intercepts at x = 5 and x = -4
x - 5 = 0; x = 5
x + 4 = 0; x = -4
(x - 5)(x + 4) is your answer
100 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!
The values of the trigonometry functions are sin(θ) = 3/√13, cos(θ) = 2/√13, tan(θ) = 3/2, csc(θ) = √13/3, sec(θ) = √13/2 and cot(θ) = 2/3
Finding the values of the trigonometry functionsfrom the question, we have the following parameters that can be used in our computation:
The right triangle
The hypotenuse of the right triangle is calculated as
h² = 2² + 3²
When evaluated, we have
h = √13
The values of the trigonometry functions are then evaluated as
sin(θ) = 3/√13
cos(θ) = 2/√13
tan(θ) = 3/2
csc(θ) = √13/3
sec(θ) = √13/2
cot(θ) = 2/3
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hey
can someone solve this 4 me
Answer:
∠a = 50°
∠b = 130°
∠c = 130°
Explanation:
Following Vertical Angles Theorem:
∠(2a - 50) = ∠a2a - 50 = a2a - a = 50a = 50A straight line has 180° angle measure, ∠c and ∠a lies on a straight line
∠c + ∠a = 180°∠c + 50° = 180°∠c = 180° - 50°∠c = 130°Also, following vertical angle theorem:
∠b = ∠c∠b = 130°Please help me solve this fast
Answer:
1.
Clean machine slope: 3/2
Sudz slope: 3/2
This means they rise and run at the same rate.
2.
y intercept of clean machine: 2
y intercept of sudz: 4
this tells us that the cost for sudz is higher per pound.
3.
Clean machine because 4 pounds at sudz costs 10 dollars, while 5.5 pounds at clean machine costs 10 dollars. You get more for less at clean machine.
4.
a. plot these points
Brand A: (0,100) (1,150)
Brand B: (0,200) (1,225)
b. Brand B cuz 25 is lower than 50