Choose the point which shows the correct location for the polar coordinate (1,5π/6)
Answers
Answer:
C
Explanation:
The polar coordinates have the following form
(r, θ)
Where r is the radius and θ is the angle. If the polar coordinate is (1, 5π/6), the point will be located in the first circle and an angle of 5π/6. Therefore, the point that shows the correct location is C.
So, the answer is C.
Related Questions
Below are listed the numbers of engineers in various fields by sex. Choose one engineer at random. Find . MechanicalElectricalBiomedicalMale9,6014,3576,318Female2,0391,1815,168
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The number of male engineers is:
[tex]9601+4357+6318=20276[/tex]4357 of them are electrical engineers, then the probability of choosing an electrical engineer given that he is male is:
[tex]P(\text{electrical}|\text{male})=\frac{4357}{20276}\approx0.2149[/tex]1. Evaluate 10b + 3c, f b = 3 and c = 11. A. O 27 B. O 43 C. O 66 D. O 63
Answers
We have to evaluate the expression:
10 b + 3 c
for b = 3 and c = 11
So, we replace b and c by their respective values, and proceed to operate:
10 (3) + 3 (11) = 30 + 33 = 63
where the product 10 times 3 = 30, and the product 3 times 11 = 33
where completed BEFORE we add them, following the rules of mathematical operations.
I'm stuck on this question, I have to solve for "e"
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Given the following equation shown in the picture:
[tex]\frac{E}{e}=\frac{R+r}{r}[/tex]You can solve for the variable "e" by following the steps shown below:
Step 1. You must apply the Multiplication property of equality by multiplying both sides of the equation by "e". As you can see below:
[tex]\begin{gathered} (e)(\frac{E}{e})=(e)(\frac{R+r}{r}) \\ \\ E=\frac{e(R+r)}{r} \end{gathered}[/tex]Step 2. Now you must apply the Multiplication property of equality again by multiplying both sides of the equation by "r":
[tex]\begin{gathered} (r)(E)=(r)(\frac{e(R+r)}{r}) \\ \\ Er=(1)e(R+r) \\ Er=e(R+r) \end{gathered}[/tex]Step 3. Finally, apply the Division property of equality by dividing both sides of the equation by:
[tex](R+r)[/tex]Then, you get:
[tex]\begin{gathered} \frac{Er}{(R+r)}=\frac{e(R+r)}{(R+r)} \\ \\ \frac{Er}{R+r}=e \end{gathered}[/tex]Therefore, the answer is:
[tex]e=\frac{Er}{R+r}[/tex]Find the area of each parallelogram.What is the area of parallelogram A?AB✓What is the area of parallelogram B?✓Submit12:18 PM9/9/2020
Answers
The area of a parallelogram is expressed as
Area = base * height
the height is the perpendicular height
Looking at the first question,
base = 3 units
Perpendicular height = 2 units
Area = 3 * 2 = 6 units square
a10 kg bowling ball would require what force to accelerate down an all way aT the rate of 3 m/s squared
Answers
We will use Newton's Second Law, which is:
[tex]F=ma[/tex]Where
F is Force
m is mass
a is acceleration
Given,
Mass = 10 kg (m)
Acceleration = 3 m/s^2 (a)
We can easily find F by plugging these values into the formula. Shown below:
[tex]\begin{gathered} F=ma \\ F=10\cdot3 \\ F=30 \end{gathered}[/tex]The units is Newtons.
Thus, the answer is:
30 NewtonsFind tan , where is the angle shown. Give an exact value, not a decimal approximation. tane = II 13 12
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We will find the value of
[tex]\tan \theta[/tex]where θ is the angle shown. We remember that in a right triangle,
[tex]\begin{gathered} \tan \theta=\frac{op}{ad} \\ \text{where op is the opposite side to }\theta,\text{ and ad is the adjacent side to }\theta \end{gathered}[/tex]In this exercise, we have the value of the opposite side, but we need the length of the adjacent side. We will use the Pythagorean Theorem for finding it:
[tex]\begin{gathered} h^2=op^2+ad^2 \\ 13^2=12^2+ad^2 \\ 169=144+ad^2 \\ 169-144=ad^2 \\ 25=ad^2 \\ \sqrt[]{25}=ad \\ 5=ad \end{gathered}[/tex]This means that the value of ad is 5.
With this is mind, we will find the value of tangent, and we get:
[tex]\tan \theta=\frac{12}{5}[/tex]Thus, the value of tan θ is 12/5.
How many phone numbers are possible in the (512) area code if in the format: ABC-XXXX, A is restricted to 2-9, B and C are restricted to 1-5, and X can be any digit 0-9?
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The number of possible phone numbers in the 512 area code is 2,000,000
Here, we want to know the number of area codes possible.
To get this , we need to know the choices we have per number in the phone numbers set
For A , we have a restriction from 2-9
What this means is that, we are to select 1 out of eight choices.
The number of ways this can be done can be computed by the use of combination;
Hence, we have;
8 C 1 choices
For B , we have a restriction within 1-5
What this means is that we are to select 1 number within 1 to 5
The number of choices here will also be;
5 C 1 choices
For C , we have a restriction within 1-5
What this means is that we are to select 1 number within 1 to 5
The number of choices here will also be;
5 C 1 choices
For X, we have to choose from within 0 to 9
What this means is that we are to select one out of 10 choices;
The number of ways we can do this will be
10 C 1 choices
Kindly recall that we are to make a selection of X four times
What this means is that for the X region only we have (10 C 1 )^4 choices
Mathematically, for a number n;
n C 1 = n
So the number of possible phone numbers will be;
8 C 1 * 5 C 1 * 5 C 1 * (10 C 1)^4
Thus, we have
8 * 5 * 5 * 10 * 10 * 10^4 = 2,000,000
the Liu family buys 20 pounds of chicken at the local market for 50 dollars which equation can be used to represent the cost c of buying x pounds of chicken at the same price per pounda) c=20xb) c=0.4xc) c=2.5xd) c=50x
Answers
Answer:
The equation that can be used to represent the cost c of buying x pounds of chicken at the same price per pound is;
[tex]c=2.5x[/tex]Explanation:
The relationship between cost and number of pounds of products is;
[tex]c=rx[/tex]Where;
c = total cost for x pounds of chicken
x = number of pounds of chicken
r = cost per pound.
To get r let us substitute the given values of c and x;
Given;
the Liu family buys 20 pounds of chicken at the local market for 50 dollars
x = 20
c = 50
substituting the values;
[tex]\begin{gathered} c=rx \\ 50=20\times r \\ r=\frac{50}{20} \\ r=2.5 \end{gathered}[/tex]So, substituting the value of r into the equation;
[tex]\begin{gathered} c=rx \\ c=2.5x \end{gathered}[/tex]Therefore, The equation that can be used to represent the cost c of buying x pounds of chicken at the same price per pound is;
[tex]c=2.5x[/tex]6. Is 9,738 divisible by 9? If it is, write the number as the product of 9 and another factor. If not, explain.
Answers
If a tank is 1/3 currently full & 16 gallons are added in order to fill the tank . How many gallons does the tank hold when full?
Answers
Given
Tank currently filled = 1/3
gallons added in order to fill the tank = 16
Find
Number of gallons needed to fill the tank.
Explanation
Let number of gallons need to fill the tank = x
currently filled with gallons = 1/3x
added to fill = 16
according to the question
[tex]\begin{gathered} x=\frac{1}{3}x+16 \\ x-\frac{1}{3}x=16 \\ \frac{2x}{3}=16 \\ x=24 \end{gathered}[/tex]Final Answer
Therefore , the 24 gallons the tank hold when it is full.
Carol needs to know wrapping paper Will be needed to cover the outside of the box she can Use the perimeter surface area or volume as measure
Answers
Given:
The length of the box is l = 5 inches.
The width of the box is w = 4 inches.
The height of the box is h = 3.5 inches.
The objective is to find the surface area of the box to cover with a wrapper.
Explanation:
The general formula to find the surface area of the box is,
[tex]\text{TSA}=2(lw+wh+lh)\text{ . . . . . . (1)}[/tex]On plugging the given values in equation (1),
[tex]\text{TSA}=2(5\times4+4\times3.5+5\times3.5)[/tex]On further solving the above equation,
[tex]\begin{gathered} \text{TSA}=2(20+14+17.5) \\ =2(51.5) \\ =103in^2 \end{gathered}[/tex]Hence, the required wrapping paper is 103 square inches.
Select the correct answer.Which point is a solution to the system of inequalities graphed here?y≤ 2x + 2y2-5x+4y -10-5
Answers
As you can see in the graphic, the solution is going to be the coordinates where the two inequalities intersect.
Analysing the points, the answer is D. Because the point (5,0) is the only one who satisfy both inequalities.
[tex]\begin{gathered} 0\leq2*5+2=0\leq12 \\ y\ge-5x+4==>0\ge-5*5+4==>0\ge-21 \end{gathered}[/tex]Write an equation for each equation of y=|x| 6 units left A. Y=|x| -6 B. Y=|x-6| C. Y=|x| + 6 Y=|x+6|
Answers
You need to remember the following Transformation rules for functions:
1. When:
[tex]f(x+h)[/tex]The function is shifted left "h" units.
2. When:
[tex]f(x-h)[/tex]The function is shifted right "h" units.
In this case you have the following function:
[tex]y=|x|[/tex]If the function is translated (or shifted) 6 units left, you can identify that the transformation will have this form:
[tex]f(x+h)[/tex]Where:
[tex]h=6[/tex]Then, the equation of this function is:
[tex]y=|x+6|[/tex]The answer is: Last option.
A particular fruit's weights are normally distributed, with a mean of 498 grams and a standard deviation of 32 grams.If you pick 13 fruits at random, then 11% of the time, their mean weight will be greater than how many grams?Give your answer to the nearest gram.
Answers
We are given the following information
Mean = 498 grams
Standard deviation = 32 grams
Sample size = 13
We are asked to find the weight for which 11% of the fruits are heavier.
11% corresponds to 100% - 11% = 89% percentile of the normal distribution.
Recall that the z-score for a normal distribution is given by
[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt[]{n}}}[/tex]Where x is the value that we need to find out, μ is the mean, σ is the standard deviation, n is the sample size.
z is the value of the z-score corresponding to the 89th percentile.
From the z-table, the value of the z-score corresponding to the p = 0.89 is 1.23
Let us substitute all these values into the above formula and solve for x.
[tex]\begin{gathered} 1.23=\frac{x-498}{\frac{32}{\sqrt[]{13}}} \\ 1.23\cdot\frac{32}{\sqrt[]{13}}=x-498 \\ 1.23\cdot\frac{32}{\sqrt[]{13}}+498=x \\ 10.92+498=x \\ 509=x \\ x=509\; \text{grams} \end{gathered}[/tex]Therefore, the required value is 509 grams.
Which of the following is the correct solution to the linear inequalities shown below
Answers
The inequality function is given .
[tex]y\leq\frac{2}{3}x+1[/tex]To draw the graph of the inequality function , first determine the coordinates of the function.
At x equal to 0.
[tex]y=\frac{2}{3}(0)+1[/tex][tex]y=1[/tex]At y equal to 0.
[tex]0=\frac{2}{3}x+1[/tex][tex]-\frac{2}{3}x=1[/tex][tex]x=\frac{-3}{2}[/tex][tex]x=-1.5[/tex]The coordinates at which the function satisfy are obtained as,
[tex](0,1),(-1.5,0)[/tex]For the inequality of the function given is less than equal to that means the shaded region of the graph lies below the origin .
Therefore the garph of the inequality of the function is,
According to the options given A,B,C and D.
The correct option is A.
Reason : The ineqaulity graph is always represented by dashed line.
Pulse help me there are 3 parts to this question
Answers
The first thing to do before calculating the median value is write the 32 scores ordered from lowest to highest:
[tex]47,52,55,57,62,63,63,65,65,66,70,72,74,74,74,74,75,75,77,77,79,80,81,82,83,85,86,90,92,94,94,97[/tex]The median is the value that divides the set in half. There are 32 scores so there have to be 16 smaller (or equal to) than the median and 16 bigger (or equal to) than it. A way to find it is by picking the 16th and the 17th scores, adding their values and then dividing the result by 2. These scores are 74 and 75 so the median is:
[tex]\frac{74+75}{2}=\frac{149}{2}=74.5[/tex]So the median value is 74.5.
The mode is the element of the set that appears most often. In this case it would be the score that is repeated the most. This score is 74 since it appears
What is the lengthof side d? Round tothe nearest wholenumber.
Answers
Answer:
∠E = 66
d = 47
Explanation:
The sum of angles of a triangle must be 180; thereofre.
[tex]\angle D+\angle E+\angle F=180[/tex]since ∠D = 63 and ∠F = 51, we have
[tex]63+\angle E+51=180[/tex][tex]114+\angle E=180[/tex]subtracting 114 from both sides gives
[tex]\angle E=180-114[/tex][tex]\boxed{\angle E=66}[/tex]which is our answer!
To find the length of d we draw the traingle
7 Given the equation below determine and state the center and radius of its circle.(x-5)² + (y + 4)² = 36
Answers
Given: The equation a circle below
[tex](x-5)^2+(y+4)^2=36[/tex]To Determine: The center and the radius
Solution
The general equation a circle given the center and the radius is
[tex]\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ Where \\ center=(h,k) \\ radius=r \end{gathered}[/tex]Compare the given to the general equation to get the center and radius
[tex]\begin{gathered} (x-5)^2+(y+4)^2=36 \\ (x-5)^2+(y-(-4))^2=6^2 \\ (x-h)^2+(y-k)^2=r^2 \\ h=5,k=-4,r=6 \end{gathered}[/tex]Hence, the center is (5, - 4), and radius is 6 units
Seven times a number plus three times another number equals negitive one. The sum of the tro numbers is negitive three. What are the numbers?
Answers
The numbers are -5 and 2
Explanation:
let the 1st number = x
second number = y
Seven times a number plus three times another number equals negitive one:
7 × x + 3 × y = -1
7x + 3y = -1
The sum of the two numbers is negitive three:
x + y = -3
7x + 3y = -1 ....equation 1
x + y = -3 .....equation 2
using elimination method:
multiply equation 2 by 7:
7x + 7y = -21
7x + 3y = -1
7x + 7y = -21
subtract equation 1 from 2:
7x - 7x + 7y - 3y = -21 -(-1)
4y = -20
y = -20/4
y = -5
substitute the value of y in equation 2:
x + (-5) = -3
x - 5 = -3
x = -3 + 5
x = 2
The numbers are -5 and 2
Find the equation of the exponential function represented by the table below:хy04.1122..363 108
Answers
The exponential function has the form:
y= A (B)^x
When x = 0 , y= 4 So:
4 = A (B)^0
4= A
A= 4
So far we have:
y = 4 (B)^x
When x= 1 ,y= 12
12 = 4 (B)^1
12 = 4 B
12/4= B
B= 3
Equation:
y= 4 (3)^x
please help me solve.I have the answer as 201.06 but it is incorrect
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Evaluate the expression below for the values x = 2 and y = - 3 5x²+ 4xy -17
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in this question, we have to put the values of x and y in the given expression.
so we have
x = 2 & y = -3
the expression is
5x²+ 4xy -17
now put the values,
[tex]5(2)^2+4\times2\times(-3)-17[/tex][tex]\begin{gathered} 5\times4+(-24)-17 \\ 20-24-17=-21 \end{gathered}[/tex]So the answer is -21.
which two shapes have the area formula base x height
Answers
Answer
Options A, C and E are correct.
Parallelogram, rectangle and a square all have the area formula base × height.
Explanation
Area of a parallelogram = Base × height
Area of a kite = Product of the
Area of a rectangle = Length × Width
where
Length = Base
Width = Height
Area of a square = Side × Side
Side = Base
Side = Height
Hope this Helps!!!
two airplanes leave an airport at the same time and travel in opposite direction. one plane travels 67 km/h slower than the other. if the two planes are 16,281 kilometers apart after 9 hours what is the rate of each plane
Answers
The slower plane travels at x km/h. The faster plane travels at (x+67) km/h
The speed of separation is the sum of the speeds, (2x+67) km/h
They are 16281 km after 9 hours of travel.
speed = distance/time
[tex]\begin{gathered} 2x+67=\frac{16281}{9} \\ 2x+67=1809 \\ 2x+67-67=1809-67 \\ 2x=1742 \\ \frac{2x}{2}=\frac{1742}{2} \\ x=871 \end{gathered}[/tex]The slower plane travels at 871 km/h
[tex]x+67=871+67=938[/tex]The faster plane travels at 938 km/h
if R is a 0 of even multiplicity then graph touches the x-axis and _____and R. if R is a 0 of odd multiplicity then the graph to _____ the x-axis at R.Fill in the blank 1 options.A. steepensB. turns aroundC. crossesD. flattens outFill in the blank 2 options.A. steepens near B. crossesC. flattens out nearD. turns around near
Answers
Since R is a 0 of even multiplicity its graph touches the x-axis and turn around R.
Hence, the correct answer is (B).
Since R is a 0 of odd multiplicity then the graph crosses the x-axis at R.
Hence, the correst option is (B).
Mr. Thompson wants to by a TV that costs $1200 using an installment plan. The plan requires 15% down payment with an APR of 12.0%. How much is the down payment amount?
Answers
the total amount of the TV is 1200 $
the downpayment is 15 % of 1200 $
so,
[tex]1200\times\frac{15}{100}=180[/tex]so the downpayment is 180 $
If there are 90 students in Jazz Band and 5/6 of them are in 8th grade, how many 8th graders are in Jazz Band?
Answers
Given,
The number of total student in the band are 90.
The part of the total student from 8th grade is 5/6.
The number of grade 8th students are,
[tex]\begin{gathered} \text{Number of grade 8th student }=\frac{5}{6}\times90 \\ \text{ = }5\times15 \\ \text{ = 75} \end{gathered}[/tex]The number of students in the band from grade 8th is 75.
Hence, 75 are 8th grader are in jazz band.
Open-Ended The table shows the price and the number of items sold. Make a scatter plot to represent the data. Use pencil and paper. Give a situation and decide what kind of items the data could represent. Price ($) 10 15 20 25 30 35 Number 47 37 15 16 16 10 Which scatter plot represents the data? O C. OD. OB. O A. Items Sold Items Sold Items Sold Items Sold 50- o 50- 40- 30- 20- o 0 Number ... Number Price ($) 40- 30- 20- 10- 0+ 0 10 2030 4050 Price (5) Number 50- 40- 30- 20- ... 10- o+TTTT 0 10 20 30 40 Number .. . 30- 204 ... 10- OTTI 0 10 20 30 40 Pnce (5) 10+ 0+ 0 10 20 30 40 Price
Answers
Given the following table of date:
Price Number
10 47
15 37
20 15
25 16
30 16
35 10
To plot the given data, we will be transforming them into coordinates, with the Price as X and the number of items sold as Y.
We get,
Price (X) Number (Y) Point (X,Y)
10 47 10,47
15 37 15,37
20 15 20,15
25 16 25,16
30 16 30,16
35 10 35,10
Plotting it into the graph, we get:
Comparing to the given plots, the graph that is the same as the one we made is the graph of option D.
Therefore, the answer is letter D.
An artist was able to draw 1/8 of a picture every hour. If he needed to paint 6 pictures for an art show, how many hours would it take him?
Answers
The ratio number of pictures to hours is given by
[tex]\text{ratio}=\frac{1}{8}\frac{\text{ pictures}}{\text{hours}}[/tex]then, we can write
[tex]y=\frac{1}{8}t[/tex]where t is the time in hours and y is the number of pictures. Now, we know he painted y=6 pictures. then, by substituting this values into our equation, we have
[tex]6=\frac{1}{8}t[/tex]By multiplying both sides by 8, we get
[tex]\begin{gathered} 6\times8=t \\ \text{then} \\ t=48\text{ hours} \end{gathered}[/tex]Then, the answer is 48 hours.
The given equation in slope intercept form.simplify answer 4x+9y=8y-3
Answers
4x + 9y = 8y - 3
subtracting 8y at both sides of the equal sign:
4x + 9y - 8y= 8y - 3 - 8y
4x + y = -3
subtracting 4x at both sides:
4x + y - 4x = -3 - 4x
y = -4x - 3