Answer:
The trapezoid's area formula is \(A = \frac{1}{2} (b_{1} + b_{2})h\), the circle's area formula is \(A =\)π\(r^{2}\), the triangle's area formula is \(A = \frac{1}{2}bh\), and the parallelogram's area formula is \(A = bh\).
HELP NEEDED ASAP
2. Consider the following transformed function
y = −2 Sin [2( − 45°)] + 1
a) Graph the five key points of Parent function on the provided grid. [1mark]
b) State the following for the transformed function [2marks]
Amplitude=
period=
Horizontal Phase shift =
Equation of axis=
c) Graph at least two cycles of the transformed function by transforming the key points of the parent function. (Don’t forget to label the x-axis and y -axis)
The five key points of the parent function are:
Domain: Set of all real numbersRange: Set of all real numbers from -1 to 1 (inclusive)No vertical asymptoteNo horizontal asymptoteMaximum: (π/2 + 2πn, 1)The five key points of the parent functionThe function is given as:
y = -2 sin[2(x - 45)] + 1
The above function is a sine function, and the parent function of a sine function is
y = sin(x)
The properties of the above function are:
Domain: Set of all real numbersRange: Set of all real numbers from -1 to 1 (inclusive)No vertical asymptoteNo horizontal asymptoteMaximum: (π/2 + 2πn, 1)The transformed functionThe transformed function is given as:
y = -2 sin[2(x - 45)] + 1
A sine function is represented as:
y = A sin[Bx + C] + D
Where:
A represents the amplitudePeriod = 2π/BC represents horizontal phase shiftUsing the above representations, we have:
Amplitude = -2Period = 2π/2 = πHorizontal phase shift, C = 2 * -45 = -90Equation of the axis, y = 1The graph of the functionSee attachment for the graph of the sine function y = -2 sin[2(x - 45)] + 1
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how to solve this question?
The revised Doubtful Debts Provision should be, $4,555.
Now, Using a net debtors value of $91,100 and a provision rate of 5%, use the calculation to get the adjusted Provision for Doubtful Debts (PDD):
Net Debts x Provision Rate equals Adjusted PDD.
The computation would then be:
= $91,100 x 0.05
= $4,555 is the adjusted PDD.
Because of the additional $550 in bad debt and the revised net debtors value of $91,100, the Provision for Doubtful Debts must be raised by ,
= $4,555 - $3,500
= $1,055
Hence, The revised Doubtful Debts Provision should be $4,555.
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How many tiles can fit in a rectangular floor with length 14 ft and width 6 ft if the the square tiles has an edge of 3/4 ft.
A rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.
To determine how many square tiles can fit in a rectangular floor, we need to calculate the total number of tiles that can fit both horizontally and vertically.
Given:
Length of the rectangular floor = 14 ft
Width of the rectangular floor = 6 ft
Edge length of square tile = 3/4 ft
First, let's calculate the number of tiles that can fit horizontally:
Length of the rectangular floor / Edge length of square tile = 14 ft / (3/4 ft) = 14 ft × (4/3 ft) = 56/3 ft
Since we want a whole number of tiles, we need to round down or take the floor value:
Number of tiles horizontally = floor(56/3) = 18 tiles
Next, let's calculate the number of tiles that can fit vertically:
Width of the rectangular floor / Edge length of square tile = 6 ft / (3/4 ft) = 6 ft × (4/3 ft) = 24/3 ft
Again, we round down or take the floor value:
Number of tiles vertically = floor(24/3) = 8 tiles
To find the total number of tiles, we multiply the number of tiles horizontally by the number of tiles vertically:
Total number of tiles = Number of tiles horizontally × Number of tiles vertically = 18 tiles × 8 tiles = 144 tiles
Therefore, in a rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.
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2. When plotting a point on a coordinate grid using an ordered pair, the
first number tells you to go up.
O True
False
Explanation:
Any point is of the form (x,y)
The first coordinate is x which tells us to go either left or right depending on whether x is negative or positive.
Example: (-2,3) means we go left 2 units
Another example: (5,7) means we go to the right 5 units.
The starting point is the origin where the x and y axis meet up.
Answer:
False
Step-by-step explanation:
REASONING How many times greater is the area of the floor covered by the larger speaker than by the smaller
speaker?
2h-
-2b₂-
speaker.
SAM
-2b₁-
Tb₁4
The area of the floor covered by the larger speaker is times greater than the area of the floor covered by the smaller
The area of the floor covered by the larger speaker is 2(two) times greater than the area of the floor covered by the smaller speaker.
How to calculate the area covered by the speakers?The shape of the big speaker is similar to the shape of the smaller speaker but with different dimensions.
The shape of the larger speaker has the following dimensions:
base = 2b
height = 2h
The shape of the smaller speaker has the following dimensions :
base = b
height = h
Scale factor = 2b/b = 2
Therefore, the larger speaker is 2(two) times greater than the area of the floor covered by the smaller speaker.
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mike moved 345 chairs and gavin moved c more than mike. How many chairs did Gavin move in terms of c?
Answer:
345 + C
Step-by-step explanation:
From the first sentence, we know that Mike moved a total of:
345chairs
In the second sentence, we know that Gavin moved C more chairs than Mike;
Mathematically;
Number of chairs moved by Galvin;
345 + C
Therefore, in terms of C, the number of chairs moved by Gavin is:
345 + C
Plz help, would be nice if could answer by tonight buh I don’t need the answer till tomorrow night
Answer:
The correct option is (b).
Step-by-step explanation:
We need to simplify the given expression i.e. \((\dfrac{a^4}{b^2})^3\).
We know that,
\((\dfrac{a^4}{b^2})^3=\dfrac{(a^4)^3}{(b^2)^3}\)
Also,
\((x^a)^b=x^{ab}\)
So,
\(=\dfrac{a^{12}}{b^6}\)
So, the correct option is (b).
Marcus was interested in whether the frequency that students check emails impacts their grades in the class. He categorized students into three groups. Those who checked email daily, those who checked email at least 2x a week (but not every day), and those who checked email less than 2x a week. Below are the GPAs for the students he studied. Conduct the steps of hypothesis testing on these data.
Table of data: GPAs for students separated by how often they check their email
Daily 2x a week Less than 2x a week
3.6 3.5 2.9
3.5 3.4 3.0
3.7 3.2 3.2
4.0 3.2 2.7
The steps to conduct the steps of hypothesis testing on these data are:
State the null hypothesis (H0) as well as the alternative hypothesis (H1):Select the significance level (alpha): Select the right test statistic:Formulate the decision rule:Compute the test statistic as well as the p-value:Decide on a decision.What is the hypothesis?The hypothesis will be:
H0: Email frequency does not affect grades.H1: Email frequency affects grades.Since we are comparing (GPAs) of three groups (students who check e-mail day by day, students who check mail at least 2x a week, and students who check mail less than 2x a week), one can be able to make use of one-way analysis of variance (ANOVA) as the fitting test measurement.
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how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
if the distance between two objects is 3 and their masses are 6 and 24 respectively, then their mutual attraction would be proportional to
If the distance between two objects is 3 and their masses are 6 and 24 respectively, the mutual attraction between the two objects is proportional to 48/9 or 16/3.
According to Newton's Law of Universal Gravitation, the force of attraction between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them.
Therefore, the mutual attraction between two objects with masses of 6 and 24 and a distance of 3 units between them would be calculated as follows:
F = G * (m1 * m2) / d^2
Where F is the force of attraction, G is the gravitational constant, m1 and m2 are the masses of the objects, and d is the distance between them.
Plugging in the values, we get:
F = G * (6 * 24) / 3^2
Simplifying:
F = G * 48 / 9
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Use trigonometry to solve for the missing angle.
Answer:
71.8962°
Step-by-step explanation:
In order to find the angle given 2 sides, you need to identify the 2 sides with the given measure.
Since we need to find X, the 2 sides are 52 (the opposite side) and 17 (the adjacent side)
The only way to find X with an opposite and adjacent side is by using tan.
In order to find the angle, you will need to use the tan^-1 (52/17)
That will give you 71.8962°
Answer:
x = 71.9°
Step-by-step explanation:
The given diagram shows a right triangle with an unknown angle, x.
We have been given the measures of the sides that are opposite and adjacent the unknown angle. Therefore, we can use the tangent trigonometric ratio to find the value of x.
\(\boxed{\begin{minipage}{7 cm}\underline{Tangent trigonometric ratio} \\\\$\sf \tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle.\\\end{minipage}}\)
The unknown angle is x, so θ = x.
The side opposite the angle measures 52 units, so O = 52.
The side adjacent the angle measures 17 units, so A = 17.
Substitute the values into the ratio and solve for x:
\(\tan x=\dfrac{52}{17}\)
\(x=\tan^{-1}\left(\dfrac{52}{17}\right)\)
\(x=71.8962369...\)
\(x=71.9^{\circ}\; \sf (nearest\;tenth)\)
Therefore, the value of x is 71.9°.
15)
136⁰
2
S
?
R
Find the measure of the arc or angle indicated
Answer:
224
Step-by-step explanation:
360.-136.
Assuming each area code is just as likely as any other, what's the probability that the area code of two back to back spam calls are 804
Complete Question:
Yanay gets a lot of spam calls. An area code is defined to be a three digit number from 200-999 inclusive. In reality, many of these area codes are not in use, but for this question we'll simplify things and assume they all are.
Assuming each area code is just as likely as any other, what's the probability that the area code of two back to back spam calls are 804?
Answer:
1/6400 or 0.0000015625
Step-by-step explanation:
Given
Area Codes = 200 to 999 (inclusive)
Required
Determine the probability that back to back calls have area code 804
[First, we need to calculate the totality of area codes]
Total Area Codes = 999 - 200 + 1
Total Area Codes = 800
The probability of each code is 1/800
So, the probability of having back to back code of 804 is:
Probability = 1/800 * 1/800
Probability = (1/800)²
Probability = 1/640000
Hence, the required probability is 1/640000 or 0.0000015625
can someone help me out with this? I need an answer quickly I don't much time.
Answer:
The slope is 2/3
Step-by-step explanation:
Rise over Run.
Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.
The distance between Basti and Cian is approximately 138.2 ft. Option D
To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.
Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.
Given:
Angle ABC = 50 degrees (angle opposite side AC)
Angle BAC = 60 degrees (angle opposite side BC)
Ali is 150 ft away from Basti (side AB)
We want to find the distance between Basti and Cian, which is side BC.
Using the Law of Sines, we have:
BC/sin(50) = AB/sin(60)
Substituting the known values:
BC/sin(50) = 150/sin(60)
To find BC, we can rearrange the equation:
BC = (150/sin(60)) * sin(50)
Using a calculator to evaluate the expression:
BC ≈ 138.2 ft
Option D is correct.
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The average marks of Ram, Hari, Shyam and Gopal in Mathematics is 65. If Ram, Hari, and Shyam obtained 60, 70 and 80 respectively, how many marks did Gopal obtain?
The number of marks that Gopal obtained is 50.
What was Gopal's score?
Average is the sum of scores divided by the number of scores.
Average = sum of scores / total number of scores
65 = (60 + 70 + 80 + a) / 4
65 = (210 + a) / 4
Where a is Gopal's score
In order to determine the value of a, multiply both sides of the equation by 4
260 = 210 + a
Subtract 210 from both sides of the equation
260 - 210 = a
a = 50
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Select all lengths that are equal to 3 yards 16 inches.
The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).
To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.
1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).
Therefore, 3 yards is equal to 3 * 36 = 108 inches.
Now, we can compare 108 inches to 3 yards 16 inches.
108 inches is equal to 3 yards, so it matches the given length.
To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.
Therefore, 3 yards 16 inches is equivalent to:
3 yards
108 inches
3 yards 0.44 yards (or approximately 3.44 yards)
108 inches 0.44 yards (or approximately 108.44 inches)
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A study was conducted showing the relationship between the average maintenance cost and the age of a car in years.
Number of observations: 13
Least Squares | Standard | T
Parameter | Estimate | Error | Statistic| P-Value
Intercept | 54.7757 | 54.87 | 0.998282 | 0.3396
Slope | 120.689 | 11.8442 | 10.1898 | 0.0000
a) What is the formula for the regression function based on the output above (Write your equation in the context of question)?
b) Interpret the slope of the regression equation (In the context of question)?
c) Construct an 95% interval to predict the maintenance cost for a car that is 7 years old?
d) Based on this analysis, can we conclude that a relationship exists between the maintenance cost and the age of the car in years? What is the null and alternative hypothesis? Justify your answer using three steps process.
Answer:
Step-by-step explanation:
a) The formula for the regression function is:
Maintenance Cost = 54.7757 + 120.689 x Age of Car
b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.
c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:
Y = a + bX ± tα/2 * SE
where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.
Plugging in the values, we get:
Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442
Y = 923.167 ± 26.010
Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.
d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.
To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.
12 times a number, x, minus 5 is ninety-one
x=8
Solution:First, multiply 12 times x, like so:12xNow, subtract 5:12x-5This expression is equivalent to 91:12x-5=91Now, add 5 to both sides:12x=91+512x+96x=8Hope it helps.
Do comment if you have any query.
\(12x-5 = 91\\\\\implies 12x = 91+5\\\\\implies 12x = 96 \\\\\implies x= \dfrac{96}{12}\\\\\implies x = 8\)
which reason justifies
Is f = 2 a solution to the inequality below?
f<1
yes
no
HELP PLS IM FAILINGGG
Answer: no
Step-by-step explanation: 2 is not less than 1
Answer:
No because if you plug in f with 2 it is saying 2 is less than 1 which is not true so it would be
No
HELP PLEASEEE ILL GIVE BRAINLY
Answer:
Step-by-step explanation:
1. No
2.yes
3.no
4.nope
5.no
North
A
72°
80m
115m
B
NOT TO
SCALE
The diagram shows the positions of three points A, B and C in a field.
(a)
Show that BC is 118.1 m, correct to 1 decimal place.
Using the cosine rule, BC = √(115² + 80² - 2(115)(80)(cos 72) ≈ 118.1 m (1 decimal place).
How to Use the Cosine Rule?If we are given a triangle with two known sides and an included angle, the cosine rule that can be used to find the side opposite to the given angle is: a = √(b² + c² - 2bc(cos A)
We are given the following:
a = BCA = 72°b = 115 mc = 80 mPlug in the values
BC = √(115² + 80² - 2(115)(80)(cos 72)
BC ≈ 118.1 m (1 decimal place)
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On a roll. Suppose that you roll a fair, 6-sided die 10 times. What's the probability that
you get at least one 6?
Tyne a responro
?
2. Lawn tickets cost $30 each and seat tickets cost $50
each. The organizers want to make at least $14,000
from ticket sales.
If you know that exactly 200 seat tickets were sold,
what can you say about the number of lawn tickets?
In order to complete the target the person must have to sell 133 lawn tickets and 200 seat tickets.
What are arithmetic operations?The study of numbers and their operations, which are essential to all other branches of mathematics, falls under the umbrella of arithmetic operations. The four fundamental operations in these systems are addition, subtraction, multiplication, and division.
It is given that, tickets for the lawn cost $30 apiece, while those for seats cost $50 each. At least $14,000 is what the organizers want to make from ticket sales.
The amount earned from seat tickets,
=$50 × 200
=10000
The amount needed to complete the target,
=$14,000 - $10,000
=$4,000
If they earned $4,000 by selling lawn tickets. Since lawn tickets were $30, the formula to determine how many were sold is $4000 divided by $30.The number of lawn tickets is obtained as,
=4000/30
=133
Thus, the number of lawn tickets will be 200.
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.In a different biology lab, a population of single-cell parasites also reproduces hourly. An equation which gives the number of parasites, , after hours is Explain what the numbers 100 and 3 mean in this situation.
Answer: p=50 h=2
Step-by-step explanation:
so its 50 x 2=100 is the answer then u add 3
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and the denominator. 12 mi to 28 mi
Answer:
3/7
Step-by-step explanation:
12 ÷ 4
28 ÷ 4
A rectangle has a height of 2y3 + 5 and a width of y3 + 6y.
Express the area of the rectangle
Answer:
7y^3+6
Just multiply width and height together.
please i need HELPPP
Answer:
vertex point is (4,-6)
and it opens upwards as the coefficient of x is positive.
I assume B is the correct answer, good luck!
Segments that join oppsoite vertices in a quadrilateral are called what
Answer:
Diagonal, I'm 90% sure it is at least!!