Step-by-step explanation:
If our r is negative, then we must add pi from the angle.
\((4, \frac{\pi}{2} )\)
goes to
\(( - 4, \frac{\pi}{2} + \pi) = ( - 4, \frac{3\pi}{2} )\)
If our r is Positve, we can add 2 pi to the angle.
\((4, \frac{\pi}{2} + 2\pi) = (4, \frac{5\pi}{2} )\)
Can somebody tell me the answer to 1293/18?
The remainder of the answer to 1293/18 needs to be written as a fraction.
The result of the 1293/18 in mixed fraction is \(71\frac{5}{6}\) and 5 is the remainder
The mixed fraction is a fraction that represented with its quotient and remainder. So generally mixed fraction is a combination of a whole number and a simple fraction.
Simple fraction is a fraction that have whole number as numerator and denominator. Top term in the simple fraction is called numerator and bottom term is called denominator
The given expression is
1293/18 = \(71\frac{5}{6}\)
Where 71 is the quotient
5 is the remainder
6 is the divisor
Hence, the result of the 1293/18 in mixed fraction is \(71\frac{5}{6}\) and 5 is the remainder
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A three-way intersection is sometimes called a
T-intersection
Y-intersection
Both a and b
Neither a nor b
Answer:
Both A and B
Step-by-step explanation:
Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.
In a group 40% like football ,70% like cricket and 30% like both games
Answer:
15% for both games
Step-by-step explanation:
30%÷2=15%
Question 3 A 44-metres long fire-fighting ladder is leaned against a building, as shown in the diagram. The base of the ladder is 7 metres from the building and 3 metres above the ground. How high on the building will the ladder reach?
The ladder will reach a Height of approximately 43.46 meters on the building.
To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.
Using the Pythagorean theorem, we can set up the equation:
(Height of the building)^2 + 7^2 = 44^2
Simplifying the equation, we have:
(Height of the building)^2 + 49 = 1936
Subtracting 49 from both sides, we get:
(Height of the building)^2 = 1887
To find the height of the building, we take the square root of both sides:
Height of the building = √1887
Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.
Therefore, the ladder will reach a height of approximately 43.46 meters on the building.
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Nine less than the product of a number n and 1/6 is no more than 92
Answer:
Please help im on that 2dd
Step-by-step explanation:
dddd
50å15 I need help pls
50å15
\(50\sqrt[]{15}\)Jessica is making a cake. The recipe calls for 2 3/4 cups of flour. She only has a measuring cup that holds 1/4 cup. Explain how she can use the measuring cup that holds 1/4 cup to measure 2 3/4 cups of flour.
Answer: Jessica can use her measuring cup 11 times.
(hope this helps!)
Please provide the answer
The radius of the circle is determined as r = 5.
option B.
What is the radius of the circle?The radius of the circle is determined by applying the general formula for circle equation.
(x - h)² + (y - k)² = r²
where;
h, k is the center of the circle r is the radius of the circlex, y are the coordinates of any point on the circleThe given circle equation;
4x² + 4y² = 100
Simplify the equation by dividing through by 4;
x² + y² = 25
x² + y² = 5²
So from the equation above, the radius of the circle corresponds to 5.
r = 5
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The chart below represents the steps in the process of a bill becoming a law. Use the chart to answer the following question.
The image represents the process of a bill becoming a law. It shows a set of parallel lines that merge, then split into two, and then merge again. Moving left to right, the top line has boxes labeled: A, C, E, G, and H. The bottom line has boxes labeled: B, D, F, and I. Boxes A and B, C and D, E and F, H and I, are paired. G is the only box on the top line without a corresponding box on the bottom line. Continuing to move from left to right, the two lines merge into one and have one box labeled J. Then the lines separate into two parallel lines again. The top line is labeled with box K and the bottom line is labeled with box L. The two parallel lines continue to the right where they again merge into one line, with an arrow pointing to a final box labeled M.
© 2011 FLVS
Which section of this chart represents the point where a bill is first debated in subcommittees?
A and B
H and I
C and D
K and L
Based on the description provided, the section of the chart that represents the point where a bill is first debated in subcommittees is: C and D
How to explain the informationIn the given chart, the parallel lines represent the progression of a bill through various stages in the legislative process. The boxes on the top line represent one set of actions or steps, while the boxes on the bottom line represent another set of actions or steps.
Moving from left to right on the chart, the boxes A and B are paired, representing a particular stage in the process. Similarly, the boxes C and D are paired, indicating another stage in the process.
In the context of the question, the stage where a bill is first debated in subcommittees is represented by the boxes C and D.
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The graphs below show the number of faulty products, y, produced by a company for the first eight months since production started. Both graphs show the same information.
To support her discussion, it would be best for Alex to use Graph A for her presentation. Alex should use this graph for her presentation because the number of faulty products appears to decrease less on this graph.
What is a steeper slope?In Mathematics and Geometry, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.
In order to determine an equation with a declining line, we would have to determine the slope of each line graphically and then taking note of the line with a negative rate of change (slope) because it indicates a decreasing function.
In this context, we can reasonably infer and logically deduce that Graph A is more suited for Alex's presentation because the number of faulty products appears to decrease less on it.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
8. The percentage of the moon's surface that is visible to someone on the Earth varies due to
the time since the previous full moon. The moon passes through a full cycle in 28 days. The
maximum percentage of the moon's surface that is visible from Earth is 50%. Find a function
for the percentage, P, of the surface that is visible as a function of the number of days, t,
since the previous full moon.
A functiοn fοr the percentage is P = 25cοs(π/14t) + 25.
What is a functiοn?In the case οf a functiοn frοm οne set tο the οther, each element οf X receives exactly οne element οf Y. The functiοn's dοmain and cοdοmain are respectively referred tο as the sets X and Y as a whοle. Functiοns were first used tο describe the idealized relatiοnship between twο varying quantities.
Here, we have
Given:
Tο find the percentage οf the full mοοn, we can write an equatiοn in the fοrm P = Acοs(Bt) + C
After 14 days, the percentage οf the mοοn is zerο
A = (max-min)/2 = 50/2 = 25
The periοd = 28 days
P = Acοs(BT = t) + c
B = 2π/periοd = 2π/28 = π/14
c = min + A = 0 + 25 = 25
We get,
P = 25cοs(π/14t) + 25,
Here, p is the percentage οf the mοοn visible cοmpared tο the previοus full mοοn.
Hence, a functiοn fοr the percentage is P = 25cοs(π/14t) + 25.
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3^12*(2^x)^2 = 6^12 then x equals to..?
Answer:
x=6
Step-by-step explanation:
If you used the input value 12 in the function y=2x,what would be the output value
Answer:
24
Step-by-step explanation:
If you put 12 in for x, you would get y=2*12 and 2 times 12 is 24. I hope this helps :)
For what values of x is the inequality (x-4)² > 0 true?
The values of x must be greater than 4 for the inequality (x-4)² > 0 to be true.
What values make an inequality true?A value that makes an inequality true is the solution to the inequality. There may be more than one way to solve an inequality.The solution set is the collection of all inequality solutions.Given inequality is (x - 4)² >0.
To solve the inequality, take square root on both sides
So, (x - 4) > 0
Adding 4 on both sides,
x > 4
The values of x must be greater than 4 for the inequality to be true.
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The value of a car decreases over time.
This year, Orlando's car is worth $35 000.
If the value of Orlando's car decreases by
7 %, what will his car be worth next year?
A.$34993
B.$2450
C.$5000
D.$32,550
Answer:
M
Step-by-step explanation:
To m
I need help with this problem if do thank you a lot
Answer:
area of sector = 282.74 yd²
length of arc = 47.12 yd
Step-by-step explanation:
12 yd is the radius
area of a circle = πr²
area of sector = π12² × 225/360 = 90π yd² or 282.74 yd² (2dp)
circumference of circle = π × diameter
diameter = 12 × 2 = 24
length of arc = 225/360 × 24π = 15π yd or 47.12yds (2dp)
Show step by step
6.1 x 7.4
Answer:
ya the answer is 45.14 we just have to multiply them as normal multiplication and then once the ans comes start pointing the answer from the right
Step-by-step explanation:
mark as brainliest plzzzz
How many 1/3 cups of flour are in 5 and 1/3 cups of flour?
Answer:
6
Step-by-step explanation:
how many solutions does this graph have?
Answer:
no solutions
Step-by-step explanation:
The graph never intersect.
A sheriff is interested in the average speed that people drive on Highway 50. Match the vocabulary word with its corresponding example.
A- The average speed that all drivers go on Highway 50
B- All people who drive on Highway 50
C- The average speed that the 250 randomly selected drivers drove on Highway 50
D- The speed that a driver drives on Highway 50
E- The 250 randomly selected drivers who were on Highway 50
F- The list of the 250 speeds that the drivers studied drove
a. Statistic
b. Population
c. Sample
d. Parameter
e. Data
f. Variable
Answer:
A: Parameter
B: Population
C: Statistic
D: Variable
E: Sample
F: Data
Step-by-step explanation:
A- The average speed that all drivers go on Highway 50: This is the parameter because it is the mean of the population.
B- All people who drive on Highway 50: This is the Population because it is from here that the sample was taken.
C- The average speed that the 250 randomly selected drivers drove on Highway 50: This is the statistic because it represents the mean of the sample.
D- The speed that a driver drives on Highway 50: This is the Variable because it varies with each driver.
E- The 250 randomly selected drivers who were on Highway 50: This is the sample because it is taken from a part of the population.
F- The list of the 250 speeds that the drivers studied drove: This is the data because it gives us information on the different speeds for this specific research.
Given that f(x) = 2x³-7x²+7ax+ 16 is divisible by x-a, find
(i) the value of the constant a
(ii) the remainder when f(x) is divided by 2x+1.
Answer:
a = - 2, remainder = 21
Step-by-step explanation:
The Remainder theorem states that if f(x) is divided by (x - a) the remainder is f(a)
Since f(x) is divisible by (x - a) then remainder is zero , then
f(a) = 2a³ - 7a² + 7a² + 16 = 0 , that is
2a³ + 16 = 0 ( subtract 16 from both sides )
2a³ = - 16 ( divide both sides by 2 )
a³ = - 8 ( take the cube root of both sides )
a = \(\sqrt[3]{-8}\) = - 2
Then
f(x) = 2x³ - 7x² - 14x + 16
Evaluate f(- \(\frac{1}{2}\) ) for remainder on division by (2x + 1)
f(- \(\frac{1}{2}\) ) = 2(- \(\frac{1}{2}\) )³ - 7(- \(\frac{1}{2}\) )² - 14(- \(\frac{1}{2}\) ) + 16
= 2(- \(\frac{1}{8}\) ) - 7(\(\frac{1}{4}\) ) + 7 + 16
= - \(\frac{1}{4}\) - \(\frac{7}{4}\) + 23
= - \(\frac{8}{4}\) + 23
= - 2 + 23
= 21
Find the experimental probability of tossing heads.
H stands for heads and T stands for Tails.
Coin Toss Results: T, H, T, H, T, H, T, T, T, T, H, T, H, T, T
The value of the experimental probability of tossing heads is,
⇒ 1 / 3
We have to given that;
Coin Toss Results: T, H, T, H, T, H, T, T, T, T, H, T, H, T, T
Where, H stands for heads and T stands for Tails.
Hence, Total outcomes = 15
And, Head outcomes = 5
Thus, The value of the experimental probability of tossing heads is,
⇒ 5 / 15
⇒ 1 / 3
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Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%
Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.
a.) The value of pulses exported by US in billion would be=30 billion.
b.) The ratio of wheat export of UK to maize export of IND would be= 6:5
How to calculate the value of pulses exported?For question a.)
To calculate the pulses, the following steps should be taken as follows:
From the bar chart, the value of pulses in billions = 30 billions.
For question b.)
The ratio of wheat export at UK and maize export at IND would be calculated as follows:
The quantity of wheat export at UK = 24
The quantity of maize export at IND = 20
Therefore, the ratio of wheat to maize = 24:20= 6:5
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Find the perimeter of the trapezoid
The perimeter of the trapezoid in this problem is given as follows:
A. 23.2.
What is the perimeter of a polygon?The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.
The bases of the trapezoid in this problem are given as follows:
AB = 1 - (-5) = 6.CD = 3 - (-7) = 10.The lateral segments are given as follows:
\(AD = \sqrt{2^2 + 3^2} = 3.6\)\(BC = \sqrt{2^2 + 3^2} = 3.6\)Hence the perimeter is given as follows:
P = 6 + 10 + 2 x 3.6
P = 23.2 units.
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Find an equation of the line described below. Write the equation in slope intercept form( solved for y) when possible through (8,5) and (5,8)
\((\stackrel{x_1}{8}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{8}}} \implies \cfrac{ 3 }{ -3 } \implies - 1\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- 1}(x-\stackrel{x_1}{8}) \\\\\\ y-5=-x+8\implies {\Large \begin{array}{llll} y=-x+13 \end{array}}\)
a certain washing machine uses 29 gallons of water for each load of laundry washed. How many gallons of water would the washing machine use for 156 loads of laundry?
Answer:156
Step-by-step explanation:
Solve the following using synthetic division: (9a^3+64a-67a-16)+(a+8)
So the quotient of the division is 9a² - 72a + 573, and the remainder is -1856.
What is polynomial?A polynomial is a mathematical expression consisting of variables and coefficients, combined using arithmetic operations such as addition, subtraction, multiplication, and exponentiation. The variables in a polynomial can only have non-negative integer exponents, and the coefficients can be any real number. Polynomials can have one or more variables and can be of different degrees, which is determined by the highest exponent of the variable in the expression.
Here,
First, let's simplify the expression by combining like terms:
(9a³ + 64a - 67a - 16) + (a + 8) = 9a³ - 3a + 8
Now we can use synthetic division to divide 9a³ - 3a + 8 by (a + 8).
The coefficients of the terms in 9a³ - 3a + 8, written in descending order of degree, are 9, 0, -3, and 8. To use synthetic division, we will need to include a placeholder coefficient of 0 for the missing term of degree 1:
-8 | 9 0 -3 8
|___ -72 576 -1864
| 9 -72 573 -1856
The last number in the bottom row, -1856, is the remainder. Therefore, we have:
9a³ - 3a + 8 = (a + 8)(9a²2 - 72a + 573) - 1856
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Complete question:
Solve the following using synthetic division: (9a³ - 3a + 8)/(a + 8)
Please help!!!! It’s urgent
Which of the following rational functions is graphed below?
-10
10-
-10
1
A. F(x) = 1/x(x+3)
B. F(x)= x/x+3
C. F(x)= 3/x
D. F(x)= 1/x(x-3)
Answer:
the answer is D. F(x) = 1/x(x-3)
Step-by-step explanation:
Find the area of this circle.
6 in.
Use 3.14 for
Problems 20 - 23. Analytically determine what type(s) of symmetry, if any, the graph of the equation would possess. Show your work.21) y^2 - xy = 6
Because of gthe graph I conclude that the graph is simmetric about the origin.