Which ordered pairs match the graph? Responses (0, 0), (2, 2), (2, 3), (2, 4), (3, 3.5) , begin ordered pair 0 comma 0 end ordered pair begin ordered pair 2 comma 2 end ordered pair begin ordered pair 2 comma 3 end ordered pair begin ordered pair 2 comma 4 end ordered pair begin ordered pair 3 comma 3.5 end ordered pair (0, 0), (0, 2.5), (2, 2), (2, 3), (2, 4) begin ordered pair 0 comma 0 end ordered pair begin ordered pair 0 comma 2.5 end ordered pair begin ordered pair 2 comma 2 end ordered pair begin ordered pair 2 comma 3 end ordered pair begin ordered pair 2 comma 4 end ordered pair (0, 0), (1, 1), (2, 2), (3.5, 4), (2, 0) , begin ordered pair 0 comma 0 end ordered pair begin ordered pair 1 comma 1 end ordered pair begin ordered pair 2 comma 2 end ordered pair begin ordered pair 3.5 comma 4 end ordered pair begin ordered pair 2 comma 0 end ordered pair (0, 0), (1, 3.5), (2, 3), (2, 2), (3, 2) begin ordered pair 0 comma 0 end ordered pair begin ordered pair 1 comma 3.5 end ordered pair begin ordered pair 2 comma 3 end ordered pair begin ordered pair 2 comma 2 end ordered pair begin ordered pair 3 comma 2 end ordered pair
Based on the choices, the ordered pairings that correspond to the graph are (2, 2), (2, 3), and (2, 4). (2, 4).
The x-coordinate of each point on the graph is always 2, since the vertical line passing through x=2 is a vertical asymptote, which implies the graph approaches but never reaches the line. Although the points where the graph crosses the y-axis are not shown, we may deduce from the curve's shape that the approximate y-coordinates of the first option, second choice, and third choice are 2, 3, and 4, respectively.
Hence, the suitable ordered pairings are (2, 2), (2, 3), and (2, 4).
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Ann had a total of 285 red and blue beads. She used 45 red beads and 40% of the blue bead. After that,the ratio of the number of red beads to blue beads Ann had was 1:3.
[a] what fraction of blue beads did Ann use
[b] How many beads did Ann have in the end
(a) Ann used 4/10 blue beads i.e. 80.
(b) Ann had 160 beads in the end.
The solution has been obtained by using arithmetic operations.
What are arithmetic operations?
According to mathematicians, any real number may be expressed using the four basic operations, also referred to as "arithmetic operations." The four mathematical operations that produce quotient, product, sum, and difference, respectively, are divide, multiply, add, and subtract.
(a) We are given that Ann had a total of 285 red and blue beads, and she used 45 red beads and 40% of the blue bead.
Let the red beads be x and blue beads be y
So, we get
x + y = 285
x = 285 - y
After using the beads, we get another equation as
⇒(x - 45) / (y - 0.4y) = 1/3
⇒(285 - y - 45) / (y - 0.4y) = 1/3
⇒(240 - y) / (0.6y) = 1/3
⇒720 - 3y = 0.6y
⇒720 = 3.6y
⇒y = 200
So, x = 85
Blue beads used = 40% of 200 = 80
(b) Since, Ann has used 80 blue beads and 45 red beads, so
Beads in the end = 285 - 45 - 80 = 160
Hence, Ann had 160 beads in the end.
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I need help with this question.
For the trapezoid ABCD following statements are true -
Statement 2: The length of AB can be found using 3²+4²=c².
Statement 3: The perimeter of the trapezoid shown is 22 units.
What is a trapezoid?
A polygon with only one set of parallel sides is called a trapezoid. The parallel bases of a trapezoid are another name for these parallel sides. Trapezoids have two additional sides that are not parallel and are referred to as their legs.
Statement 2 is true because AB is a horizontal side and its length can be found using the Pythagorean theorem -
(Hypotenuse)² = (Base)² + (Perpendicular)²
AB = √((4 - 1)² + (7 - 3)²)
AB = √((3)² + (4)²)
AB = √(9 + 16)
AB = 5
Statement 3 is true because the perimeter of a trapezoid is the sum of the lengths of its four sides, so the perimeter of this trapezoid is
Perimeter = AB + BC + CD + DA
Perimeter = 5 + 5 + 4 + 8
Perimeter = 22
Therefore, second and third statement is true.
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After a 66% increase your salary is now $75,000. What was your original salary?
The original salary was approximately $45,180.72.
What is the formula for the starting amount?Prior to a percentage increase or decrease, one must ascertain the beginning value of an amount: The amount must be represented as a percentage of the initial sum. Determine one percent of the starting sum. The original value may be obtained by multiplying by 100 because 100% is the original sum.
We can use algebra to resolve this issue. Let x represent the starting wage.
The issue states that following a 66% raise, the new compensation is $75,000 Mathematically, this can be expressed as:
x + 0.66x = 75000
By merging similar phrases to simplify the left side, we obtain:
1.66x = 75000
Finally, by multiplying both sides by 1.66, we can find the value of x:
x = 75000/1.66
x ≈ 45,180.72
Hence, the initial wage was roughly $45,180.72.
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Answer please, I'll give brainlyist
Answer:
(1,-1)
Step-by-step explanation:
Answer:
Option B: [tex](1, -1)[/tex]
Step-by-step explanation:
The two equations are linear simultaneous equations, which can be solved by either the substitution, elimination or graphical method.
Substitution method:
Formulate an expression for x in terms of y by isolating x and making it the subject of the equation:
[tex]x + 2y = -1[/tex]
∴ [tex]x = -2y -1[/tex] —— (equation i)
[tex]2x - 3y = 5[/tex] ——- (equation ii)
Substitute (equation i) in (equation ii) to solve for y:
[tex]2(-2y -1) - 3y = 5[/tex]
Expand the brackets or parenthesis using the Distributive Law:
[tex]-4y -2 -3y = 5[/tex]
Bring all the like terms together. Isolate the y terms together on one side of the equation and move all the other terms to the other side:
[tex]-4y -3y = 5 + 2[/tex]
= [tex]-7y = 7[/tex]
= [tex]y = -\frac{7}{7}[/tex]
∴ y = [tex]-1[/tex]
Substitute this calculated value of y into any of the equations to solve for x:
[tex]x = -2(-1) - 1[/tex]
[tex]= 2 - 1[/tex]
∴ x = [tex]1[/tex]
Together these x and y values form an ordered pair. In addition, this ordered pair is a solution to both the equations and also considered the point of intersection of the two equations
∴ Option B: [tex](1, -1)[/tex]
What type of proofs did they use?
Bobby used deductive reasoning because he started with a stated fact and used logical steps to arrive at the desired conclusion.
Elaine used proof by contradiction because she made the assumption that the opposite of the desired conclusion and showed that it led to a contradiction, which gives further proof that the original assumption must be true.
What is deductive reasoning?Deductive reasoning is described as formal system in which an abstract structure is used for inferring theorems from axioms according to a set of rules.
The set rules are used for carrying out the inference of theorems from axioms, which are then seen as the logical calculus of the formal system.
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Daniela brought 1/4 of a pound of choclate chip cookies to school and Emily brought 3/7 of a pound of peanut butter cookies.
How many pounds of cookies do we have in total?
Answer:
19/28
Step-by-step explanation:
1/4 = 7/28
3/7 = 12/28
Then:
1/4 + 3/7 = 7/28 + 12/28 = (7+12)/28
= 19/28
) in the first scenario, we still throw balls in n bins, and the probability of a ball landing in each bin is independent and uniformly distributed. however, we are not perfect throwers! there is now a probability of pm that the ball misses all the bins. let x be a random variable for the number of throws until each bin has at least 1 ball. find an expression for e[x], the expected number of throws to fill each bin at least once.
Simplifying this expression, we get: E[X] = n * (1 + (1-pm)/(n-1)) * H_{n-1} where H_{n-1} is the (n-1)th harmonic number.
What is probability ?
Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.
In the first scenario where we have imperfect throwers, the probability that a ball lands in a particular bin is (1-pm)/n, where pm is the probability that the ball misses all the bins. The probability that a ball does not land in a particular bin after k throws is (1- (1-pm)/n)^k.
Let X_i be a random variable representing the number of throws required to fill the ith bin for the first time. We know that X_i follows a geometric distribution with probability of success p_i = (1-pm)/n.
The expected value of X_i is given by:
E[X_i] = 1/p_i = n/(n - (1-pm))
Now, let X be the random variable representing the number of throws required to fill all n bins for the first time. We want to find the expected value of X, denoted as E[X].
Since each bin is being filled independently, the number of throws required to fill all n bins is given by the maximum of the X_i. Therefore, we have:
X = max(X_1, X_2, ..., X_n)
Using the formula for the expected value of the maximum of n independent and identically distributed random variables, we can write:
E[X] = n * E[X_i] - (n-1) * E[X_i, X_j]
where E[X_i, X_j] is the expected value of the minimum of X_i and X_j.
Since the X_i are identically distributed, we have E[X_i, X_j] = E[X_i]^2.
Substituting the value of E[X_i] in the above equation, we get:
E[X] = n * (n / (n - (1-pm))) - (n-1) * (n / (n - (1-pm)))^2
This is the expected number of throws required to fill each bin at least once, accounting for the probability that the balls may miss all bins with probability pm.
Therefore, Simplifying this expression, we get: E[X] = n * (1 + (1-pm)/(n-1)) * H_{n-1} where H_{n-1} is the (n-1)th harmonic number.
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Find the slope of the line. (-5, -4) (1,-3)
Answer: The slope of the line between the points (-5, -4) and (1,-3) is 1/6 = 0.1667.
Step-by-step explanation:
To calculate the slope between two points, we apply the following formula:
[tex]\boldsymbol{\sf{m=\dfrac{\Delta y}{\Delta x} \iff \ m=\dfrac{y_2-y_1}{x_2-x_1} }}[/tex]
where m is the slope of the line.
We identify the points:
[tex]\boldsymbol{\sf{\diamond x_1=-5 \ \ \ \ \diamond y_1=-4 \ and \ x_2=1 \ \ \ \ \diamond y_2=-3 }}[/tex]
We substitute these points in the formula and solve:
[tex]\boldsymbol{\sf{m=\dfrac{-3-(-4)}{1-(-5) }=\dfrac{1}{6}=0.1667 }}[/tex]
The slope of the line between the points (-5, -4) and (1,-3) is 1/6 = 0.1667.
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this is an altered version of the assignment cuz my teacher thinks she’s funny, someone solve this
The following information pertains to Mason Company for Year 2.
Beginning inventory 90 units at $40
Units purchased 310 units at $45
Ending inventory consisted of 30 units. Mason sold 370 units at $90 each. All purchases and sales were made with cash. Operating expenses amounted to $4,100.
What is the Net Income using FIFO, LIFO, and Weighted Average?
The net income using FIFO, LIFO, and Weighted Average methods are $16200, $12700, $14100.3
What is the Net IncomeTo calculate the net income using different inventory valuation methods, we need to calculate the cost of goods sold (COGS) first, which is:
COGS = Beginning Inventory + Purchases - Ending Inventory
For each inventory valuation method, we will calculate the COGS and then subtract it from the total sales to find the net income.
1.
FIFO (First-in, First-out) method:
Under the FIFO method, we assume that the units sold are from the earliest inventory purchased. Therefore, the ending inventory consists of the most recently purchased units.
a. COGS:
Beginning inventory: 90 units at $40 = $3,600
Purchases: 310 units at $45 = $13,950
Total cost of goods available for sale = $3,600 + $13,950 = $17,550
Cost of goods sold = Total cost of goods available for sale - Ending inventory
= $17,550 - 30 units at $45 = $16,200
b. Net Income:
Sales = 370 units at $90 = $33,300
COGS = $16,200
Operating expenses = $4,100
Net income = Sales - COGS - Operating expenses
= $33,300 - $16,200 - $4,100
= $13,000
2.
LIFO (Last-in, First-out) method:
Under the LIFO method, we assume that the units sold are from the most recently purchased inventory. Therefore, the ending inventory consists of the earliest purchased units.
a. COGS:
Beginning inventory: 90 units at $40 = $3,600
Purchases: 310 units at $45 = $13,950
Total cost of goods available for sale = $3,600 + $13,950 = $17,550
Cost of goods sold = (Ending inventory at $40) + (Remaining units sold at $45)
= (30 units at $40) + (340 units at $45)
= $1,200 + $15,300
= $16,500
b. Net Income:
Sales = 370 units at $90 = $33,300
COGS = $16,500
Operating expenses = $4,100
Net income = Sales - COGS - Operating expenses
= $33,300 - $16,500 - $4,100
= $12,700
3.
Weighted Average method:
Under the weighted average method, we calculate the average cost per unit and use it to value both the cost of goods sold and ending inventory.
a. Average Cost per unit:
Total cost of goods available for sale = Beginning inventory + Purchases
= $3,600 + $13,950
= $17,550
Total units available for sale = Beginning inventory + Purchases + Ending inventory
= 90 + 310 + 30
= 430
Average cost per unit = Total cost of goods available for sale / Total units available for sale
= $17,550 / 430
= $40.81
b. COGS:
Cost of goods sold = Units sold x Average cost per unit
= 370 units x $40.81
= $15,099.7
c. Net Income:
Sales = 370 units at $90 = $33,300
COGS = $15,111.70
Operating expenses = $4,100
Net income = Sales - COGS - Operating expenses
= $33,300 - $15,099.7 - $4,100
= $14,100.3
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which is the standard equation of the hyperbola centered at the origin, with a vertical transverse axis and values of a
The standard equation of a hyperbola centered at the origin and a vertical transverse axis values of a=8 and b=9 is y²/64 - x²/81 = 1.
What is a hyperbola?In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows.
The standard equation of a hyperbola centered at the origin and a vertical transverse axis is given by
y²/a² - x²/b² = 1
We are given that;
a = 8
b = 9
Now, putting the values of the variables into the equation;
y²/a² - x²/b² = 1
y²/8² - x²/9² = 1
y²/64 - x²/81 = 1
Therefore, the standard equation will be y²/64 - x²/81 = 1.
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A rectangle is 1/2 feet long and 3/4 feet wide.
What is the area of the rectangle?
Enter your answer as a fraction in simplest form
Answer: 3/8
Step-by-step explanation: All you do is 1/2 times 3/4. Numerator times numerator. The Denominator times denominator.
Numerators first- 1x3Denominators second 2x41. Suppose a new tennis ball drops downward from a height of 30 feet onto a paved parking lot and keeps
bouncing up and down, again and again. Rebound height of the ball should be of its drop height. Make
a table and plot the data showing expected heights of the first ten bounces of the tennis ball.
Bounce Number 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10
Rebound Height (in feet) ??
Answer: Let's assume that each time the ball rebounds, it bounces back up to exactly 2/3 of its previous height. We can use this information to create a table and plot the expected rebound heights for the first ten bounces.
Bounce Number Rebound Height (feet)
0 30.0
1 20.0
2 13.3
3 8.9
4 5.9
5 3.9
6 2.6
7 1.7
8 1.1
9 0.7
10 0.5
To plot this data, we can use a scatter plot with the bounce number on the x-axis and the rebound height on the y-axis. The points should be connected by a line to show the trend.
Tennis ball bounce heights
Note that the rebound heights decrease quickly and approach zero, but they never actually reach zero due to the rounding in our calculations.
Step-by-step explanation:
what is the area of a trapezoid with a height of 5 ft and bases of 10 ft and 14 ft?
The area of the Trepezium will be 60 feet².
What is a trepezium, exactly?
Trapezoids have two parallel sides and two oblique sides. It is also known as a Trapezium. A trapezoid is a four-sided closed shape or figure having a space-filling perimeter. It is a 2D figurine, not a 3D figure. The bases of a trapezoid are the sides that are parallel to one another. Legs, also known as lateral sides, are non-parallel sides. Its height is determined by the distance between its parallel sides.
Area of a trepezium=1/2*(a+b)*h
where h=height or distance between two parallel lines
a and b are two parallel lines.
Now,
Given that a=14 feet, b=10 feet and h=5 feet
then area=1/2*(10+14)*5
=24/2*5
=12*5
=60 ft²
hence,
The area of the Trepezium will be 60 feet².
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Which of the following ordered pairs satisfies the equation y=2 (-2,2) (1,3) (6,0) (8,2) (1,5)
Answer:
Using the equation y = 2x, some ordered pairs are as follows (- 1, - 2), (0, 0), (1, 2), (2, 4), (3, 6).
Step-by-step explanation:
BY WAY UR GLY
if one thing has 50% chance to happen and another has 25% chance to happen what are the odds both will happen
Answer:
the odds of both events happening is 1 in 8 or 0.125.
Step-by-step explanation:
here are the step-by-step calculations to find the odds of both events happening:
The probability of the first event happening is 50%, which can be written as a decimal as 0.5.
The probability of the second event happening is 25%, which can be written as a decimal as 0.25.
To find the probability of both events happening, we multiply these probabilities together:
P(both) = P(first) x P(second)
= 0.5 x 0.25
= 0.125
We can also express this probability as odds by dividing the probability of both events happening by the probability of just one event happening (in this case, either the first or second event happening). The probability of one event happening is 0.5 + 0.25 = 0.75, since these events are mutually exclusive (only one of them can happen at a time). So the odds of both events happening is:
P(both) / P(one) = 0.125 / 0.75
= 1/8
Therefore, the odds of both events happening is 1 in 8 or 0.125.
el area total de la figura que se muestra es 192cm²
¿cual es el valor de x?
Answer:
x es igual a 8.
Step-by-step explanation:
find the nth term in form of (n+a)²+b for the sequence
15,22,31
We are aware that ([tex]1^2[/tex] + a1 + b) = 15 represents the sequence's initial term. The second term is determined by the formula ([tex]2^2[/tex] + a2 + b) = 22. These equations can be expressed as a set of linear equations:
a + b = 14 ...(1)
a + b = 14 ...(1)
The results of the simultaneous solving of these equations are a = -3 b = 17.
Thus, [tex](n-3)^2 + 17[/tex] is the nth term in the series in the form of (n+a)2 + b.
Describe Arithmetic Progression.An Arithmetic Progression (AP) is a sequence of numbers in which each term is obtained by adding a fixed value to the previous term. This fixed value is called the common difference of progression.
For example, the sequence 2, 5, 8, 11, 14, ... is an arithmetic progression with a common difference of 3. To find the next term, we add 3 to the previous term:
2 + 3 = 5
5 + 3 = 8
8 + 3 = 11
11 + 3 = 14
And so on.
In general, the nth term of an arithmetic progression can be calculated using the formula:
an = a1 + (n - 1)d
where:
an is the nth term of the sequence
a1 is the first term of the sequence
the common difference between terms
n is the number of the term you want to find
So, if we wanted to find the 10th term of the sequence 2, 5, 8, 11, 14, ..., we would use the formula:
a10 = 2 + (10 - 1)3
a10 = 2 + 27
a10 = 29
Therefore, the 10th term of the sequence is 29.
To find the nth term of the sequence in the form of (n+a)² + b, we need to first find the values of a and b.
Let's begin by finding the difference between consecutive terms in the sequence:
The difference between the first and second terms is 22 - 15 = 7.
The difference between the second and third terms is 31 - 22 = 9.
We can observe that the difference between consecutive terms is not constant, which means that the sequence is not arithmetic. However, we can check if the second differences are constant:
The second difference is 2.
Since the second differences are constant, we can conclude that the sequence can be represented by a quadratic equation of the form (n² + an + b). Now, we need to solve for the values of a and b.
We know that the first term of the sequence is given by (1² + a1 + b) = 15. Similarly, the second term is given by (2² + a2 + b) = 22. We can write these equations as a system of linear equations:
a + b = 14 ...(1)
4a + b = 11 ...(2)
Solving these equations simultaneously, we get:
a = -3
b = 17
Therefore, the nth term of the sequence in the form of (n+a)² + b is:
(n-3)² + 17
So, for example:
The 1st term is (1-3)² + 17 = 9 + 17 = 26
The 2nd term is (2-3)² + 17 = 1 + 17 = 18
The 3rd term is (3-3)² + 17 = 0 + 17 = 17
The 4th term is (4-3)² + 17 = 1 + 17 = 18
The 5th term is (5-3)² + 17 = 4 + 17 = 21
and so on.
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100 POINTS PLEASE HELP
Answer:
The correct answer is (d) 1900.
Step-by-step explanation:
here's a step-by-step explanation of how to arrive at the correct answer:
Step 1: Identify the total expenses for the month of November
From the given ledger, we can see that there are two entries for expenses in the month of November: $1,000 on November 5 and $900 on November 15. To find the total expenses for the month, we add these two amounts: $1,000 + $900 = $1,900.
Step 2: Determine the balance of the expenses account
In the ledger, both entries for expenses are listed as debits. Since debits increase the balance of expense accounts, the balance of the expenses account is the total of the debits, which is $1,900.
Step 3: Create the closing entry
The purpose of the closing entry is to transfer the balance of the expenses account to the income summary account. Since the expenses account has a debit balance of $1,900, we need to credit the expenses account for this amount and debit the income summary account for the same amount. This will reduce the balance of the expenses account to zero and transfer the total expenses for the month to the income summary account. The closing entry is:
Expenses 1,900 (credit)
Income Summary 1,900 (debit)
Step 4: Check the options to find the correct answer
From the given options, we can see that option (d) 1900 is the correct answer, as it matches the amount of the closing entry we calculated in Step 3.
Therefore, the correct answer is (d) 1900.
mean touchdown passes=15
Randy had 20 touchdown passes.
what is his deviation from the mean ?
Randy had 20 touchdown passes and his deviation from the mean is 5.
What is standard deviation?The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability. When data points are closely spaced from the mean, there is a small variation, and when they are far spaced from the mean, there is a large variation. The standard deviation determines how much the values deviate from the mean. The most popular way to assess dispersion is standard deviation, which is based on all values.
Given that, mean touchdown passes=15.
Randy's touch down passes = 20.
The deviation of the touch down passes = 20 - 15 = 5.
Hence, his deviation from the mean is 5.
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which of the following tables best shows the expected values in the f2 generation for a chi-square goodness-of-fit test for a model of independent assortment? responses
The best table, Observed Values | Expected Values, for a chi-square goodness-of-fit test for an independent assortment model, displays the expected values in the f2 generation.
The chi-square goodness-of-fit test is what, exactly?When evaluating how well observed values fit a model of independent assortment, the chi-square goodness-of-fit test is used. The test necessitates comparing the observed values to what would be expected in the f2 generation.
The best option for this comparison is Observed Values | Expected Values since it gives a direct comparison between the observed and expected numbers. As any discrepancies between the observed and expected values can be attributed to the model's performance, this comparison enables an evaluation of the model's goodness-of-fit.
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Find the limit lim………..
Answer:
The solution is 1/8
Step-by-step explanation:
[tex] \sf \displaystyle \lim_{x \to 16} \sf \frac{ \sqrt{x} - 4 }{x - 16} \\ \\ \sf {a}^{2} - {b}^{2} = (a - b) (a + b)\\ \\ \sf \displaystyle \lim_{x \to 16} \sf \frac{ \sqrt{x} - 4 }{( \sqrt{x} - 4) \times ( \sqrt{x} + 4)} \\ \\ \sf \displaystyle \lim_{x \to 16} \sf \frac{ \cancel{\sqrt{x} - 4} }{(\cancel{ \sqrt{x} - 4) }\times ( \sqrt{x} + 4)} \\ \\ \sf \displaystyle \lim_{x \to 16} \sf \frac{1}{ \sqrt{x} + 4} \\ \\ \sf \frac{1}{ \sqrt{16} + 4} \\ \\ \sf \frac{1}{ 4 + 4} \\ \\ \sf \frac{1}{8} [/tex]
The shortest side of a right triangle measures inches. One angle of the triangle measures. What is the length, in inches, of the hypotenuse of the triangle?.
The length of the hypotenuse of the triangle is 6√3 inches
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
The given parameters are:
Angle, θ = 60°
Shortest side = 3√3
The attached diagram illustrates the right triangle, From the diagram, we have:
cos(θ) = Shortest/Hypotenuse
This gives
cos(60°) = 3√3/Hypotenuse
This gives
Hypotenuse = 3√3/cos(60°)
Evaluate cos(60°)
Hypotenuse = 3√3/0.5
Evaluate the quotient
Hypotenuse = 6√3
Hence, the length of the hypotenuse of the triangle is 6√3 inches
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The complete question is given below.
The shortest side of a right triangle measures 3V3 inches. One angle of the triangle measures 60°. What is the length in inches, of the hypotenuse of the triangle?
Choose the function whose graph is given by:
IN
OA. y = sec(x) +2
B. y = sec (2x)
OC. y = 2sec(-x)
OD. y = 2csc(-x)
12s
J
35+
Answer:
C
Step-by-step explanation:
If you start by picking a point to plug in you can check easily to see what works.
Lets start with x=pi. If we plug that into all the answer choices,
A. sec(pi/2)+2 = does not exist
B. 1/2sec(2pi) = 1/2
C. 2sec(pi/2) = does not exist
D. 2csc(pi/2) = 1
So, since at pi there is a vertical asymptote it should not exist. So, A or C.
Then pick x = 0, y must be 2.
A. sec(0) +2 = 1+2 = 3
C. 2sec(0) = 2
So, C must be the answer.
Solve the quadratic equation numerically (using tables of x- and y- values). x(x + 3) = 0 a. x = -1 or x = 3 c. x = 0 or x = -3 b. x = 0 or x = -5 d. x =1 or x = -1 Please select the best answer from the choices provided A B C D
Explanation:
If A*B = 0, then either A = 0 or B = 0 or both are zero. This is the zero product property.
For this problem we'll have x(x+3) = 0 lead to x = 0 or x+3 = 0
Solve x+3 = 0 to get x = -3
What are the coordinates of point A?
Answer:
Step-by-step explanation:
I believe its
(-2,-6)
I Need Help please!!
Slope of one of the dotted lines:
Slope of the line of reflection:
Answer:
see explanation
Step-by-step explanation:
calculate slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
consider the middle dotted line
with
(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line
m = [tex]\frac{8-(-3)}{6-(-5)}[/tex] = [tex]\frac{8+3}{6+5}[/tex] = [tex]\frac{11}{11}[/tex] = 1
consider the line of reflection ( the solid line )
with
(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line
m = [tex]\frac{4-3}{-1-0}[/tex] = [tex]\frac{1}{-1}[/tex] = - 1
When the new or compared value is P% is more than the reference value, how do you calculate the
reference value? What about less than?
Answer: If the new or compared value is P% more than the reference value, you can calculate the reference value as follows:
Reference value = New or compared value / (1 + P/100)
For example, if the new value is 120% of the reference value, then P = 20 and the reference value can be calculated as:
Reference value = New value / (1 + 20/100) = New value / 1.2
If the new or compared value is P% less than the reference value, you can calculate the reference value as follows:
Reference value = New or compared value / (1 - P/100)
For example, if the new value is 80% of the reference value, then P = 20 and the reference value can be calculated as:
Reference value = New value / (1 - 20/100) = New value / 0.8
Step-by-step explanation:
biostatistics questions help to solve
