Answer:
9.583 hours
Step-by-step explanation:
multiply both of them and divide by 60 youll get. how long it will take for u to complete an anime
8. if 9(x - y) = 30, find the following.
a) 18(x - y)
b) 6x - 6y
c) 9x-9y-9
Therefore , the solution of the given problem of equation comes out to be a.60 , b.20 and c.21.
Equation : what is it?An equation in mathematics is a representation of two equal variables, one on each side of a "equals" sign. To tackle common issues, equations can be used. We commonly seek pre algebra help to overcome obstacles in real life. Math fundamentals are covered in pre-algebra lessons.
Here,
Given : 9(x - y) = 30,
or (x-y) =30/9
To find :
a) 18(x - y) = ?
=> 2(9(x - y))
=> 2(30)
=> 60
b)6x - 6y = ?
=> 6(x-y) = 6(30/9)
=> 2*30/3
=> 20
c) 9(x-y)-9
=> 30 -9
=>21
Therefore , the solution of the given problem of equation comes out to be a.60 , b.20 and c.21.
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N-2=10n+4/2
Please explain step by step to get picked brainliest
Answer:
n = -4/9
Step-by-step explanation:
first get rid of n on left side
-2 = 9n + 2
Get rid of 2 on right side
-4 = 9n
Make 9n into n
-4/9 = n
ans: n = -4/9
hope this helps :)
There are three section of class 10th in Kendriya Vidyalaya Delhi Cantt the total number of strain in class 10th 400 the marks obtained by the students in pre board exam are presented in the table as given below the mean of the marks obtained in 53
Marks obtained=0-20,20-40,40-60,60-80,80-100
Number of student 15,18,21,29,p
(1) how many students got marks between 80-100?
a)21 (b)38 (c) 17 (d)26 (2) what is the lower limit of modal class a)20 (b)40 (c)60 (d) 80 (3) what is the value of modal marks
(a)58 (b)62 (c) 65 (d) 68 (4) what is the value of {fixi? (a)2900 (b) 5300 (c) 1500 (d) 100
(5) what is the upper limit of the median class?
(a) 20 (b) 40 (c) 60 (d) 80
2
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Given :
Marks obtained= 0-20,20-40,40-60,60-80,80-100
Number of student 15 , 18, 21, 29, p
mean of the marks obtained is 53
To Find : (1) how many students got marks between 80-100?
a)21 (b)38 (c) 17 (d)26 (2)
what is the lower limit of modal class a)20 (b)40 (c)60 (d) 80
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Therefore ,the top limit of the normal class of three parts of mean class 10th is therefore 60, and the median class is 40–60.
Define mean.Simply average a collection of three or more numbers yields the phrase "mean." The median method, which employs the maximum of a group of products, and the arithmetic average approach, which uses the sum of both the series' values, are two ways to determine the mean for just a given set of numbers.
Given:
Grades received:
X f fi xi
0-20, 10 15 150
20-40, 30 18 540
40-60, 50 21 1050
60-80, 70 29 2030
80-100 90 p 90p
Total: 3770 + 90p + 83p
Mean (3770 plus 90 pi)/(83 plus pi) = 53
=> 3770 + 90p = 83 * 53 + 53p
=> 37p = 629
=> p = 17
17 students received scores in the 80–100 range.
f = 29 and modal class 60-80
minimum of modal class 60
=> 60 + 20 * 8/20
=>68
68 is the modal marks value.
=> ∑fixi = 3770 + 90p = 3770 + 90(17) = 5300
=> 100/2 = 50
60 is the maximum median class for 3 phases of class 10 with a median class of 40–60.
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PLEASE HELP
Consider the two circles shown
To show that circle P is similar to circle Q, circle P is translated t units to the right. The image is then dilated about it’s center by a scale factor of s.
What are the values of t and s
Answer:
t is 13
scale factor is 7/4
If a city that currently has a population of 1000 triples in size every 8 years, what will the population be in 24 years? Is the population growth modeled by a linear function or an exponential function?
Step-by-step explanation:
I'm pretty sure it's 19200? or maybe im writing is wrong
Answer:
After 24 years population of the city will be 27000.
exponential function.
Step-by-step explanation:
in picture
Pls help! Step by step:)
Answer:
x = 15
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 9² + 12² = 81 + 144 = 225 ( take square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
Answer:
x = 15
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]
From inspection of the given right triangle:
a = 9b = 12c = xSubstitute the given values into Pythagoras Theorem and solve for x:
[tex]\implies 9^2+12^2=x^2[/tex]
[tex]\implies 81+144=x^2[/tex]
[tex]\implies 225=x^2[/tex]
[tex]\implies \sqrt{x^2}=\sqrt{225}[/tex]
[tex]\implies x=15[/tex]
Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
it's none of the above its 27.5
At a sporting event, the price for 3 cheeseburgers and 2 cups of lemonade is
$19 and the price for 2 cheeseburgers and 4 cups of lemonade is $18. How much
does it cost for 1 cheeseburger and 1 cups of lemonade?
*
By solving system of linear equation we get Cost for 1 cheeseburger $5 and 1 cups of lemonade $2
What is a system of linear equations?A system of linear equations is a collection of two or more linear equations that have the same variables. A linear equation is an equation in which the highest power of the variable is 1. In other words, the equation is a straight line when graphed.
Here is an example of a system of linear equations:
3x + 2y = 19
2x + 4y = 18
This is a system of equations problem, where we can use the information provided to set up two equations and then solve for the unknown variables. Let x be the cost of one cheeseburger and y be the cost of one cup of lemonade.
From the information provided, we know that:
3x + 2y = 19 (the cost of 3 cheeseburgers and 2 cups of lemonade is $19)
2x + 4y = 18 (the cost of 2 cheeseburgers and 4 cups of lemonade is $18)
To find the cost of one cheeseburger and one cup of lemonade, we can solve this system of equations. One way to do this is by substitution.
3x + 2y = 19
we get
[tex]x=\frac{19-2y}{3}[/tex]
substituting x in equation 2x+4y=18
we get
[tex]2(\frac{19-2y}{3})+4y=18[/tex]
[tex]38 - 4y + 12y = 54\\8y = 16\\y = 2[/tex]
substituting y in equation 3x+2y=19
[tex]3x+2(2)=19\\3x=19-4\\3x=15\\x=5[/tex]
The cost of one cup of lemonade is $2
The cost of one cheeseburger is $5
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To pay for a $15,900 car, Donna made a down payment of $4800 and took out a loan for the rest. On the loan, she paid monthly payments of $245.70 for 4
years.
(a) What was the total amount Donna ended up paying for the car (including
the down payment and monthly payments)?
(b) How much interest did Donna pay on the loan?
Total amount paid by Donna is $16,689.6 and interest paid is $789.6.
What exactly does a down payment mean?The cash up front paid by the buyer in real estate transactions and other significant purchases is known as a down payment on a house. For a property being used as a primary residence, down payments, which are typically a percentage of the purchase price, can range from as little as 3% to as much as 20%.
According to question:
Given,
Price of car= $15,900
Down Payment=$4800
number of months=12 x 4=48 month
Monthly payment=$245.70
Total amount Donna paid = Down payment+ all monthly installment
Total amount = $4800+ 48 x 247.70 =$16,689.6
Interest Paid = $16,689.6 - $15,900 = $789.6
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An 8 ¼ -inch circular power saw blade rotates at 4400 revolutions per minute. (Round your answers to two decimal places.)
(a) Find the angular speed of the saw blade in radians per minute. ___________________
(b) Find the linear speed (in feet per minute) of the saw teeth as they contact the wood
being cut.
___________________
a) The angular speed of the saw blade in radians per minute is;
460.77 radians per minute.
b) The linear speed (in feet per minute) of the saw teeth as they contact the wood being cut is; 7.46 * 10⁻⁴ ft/min
How to find angular and linear speed?a) Angular speed is defined as the speed of the object in rotational motion
The formula of the angular speed is; ω = θ / t
where;
ω is the angular speed
θ is the angular rotation
t is the time taken.
We are given;
In one revolution, the angle made is 2π radian.
In 4400 revolutions = 2π * 4400 radian
= 8800π radians
We know that ,
1 hour = 60 minute.
Thus;
Angular speed = 8800π/60
= 460.77 radians per minute
b) The relationship between the linear speed and angular speed in a uniform circular motion is given by the formula;
s = rω
where;
s is the linear speed
r is the radius
ω is the angular speed.
radius = 8 ¼ -inch/2 = 33/8 inches
Conversion from inches to feet gives;
33/8 inches = 0.34375 ft
Thus;
s = 0.34375/460.77
s = 7.46 * 10⁻⁴ ft/min
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The sum of a number and 9
Answer: look it up :)
Step-by-step explanation: click new tab. then type 'the sum of a number and 9'. the first or second result will come up with your answer, n+9 is the one I got.
Answer: x+9 or n+9
Step-by-step explanation: sum refers to addition you can put x for "a number" thus you get x+9 as your expression or n+9 for your teacher but both are variables so it doesn't matter if it's j, y, u, or p what's there functionality wise but your teacher might want it a certain variable like n
Two triangles are shown.
Complete the statement to prove that triangle
ABD is similar to triangle ECD. Fill in the blank
to complete the statement.
∠ ABD and ∠ ECD are _____
and angle ___________ is shared by both triangles,
therefore the figures are __________
by ________ __________ __________
On solving the provided question, we can say that - the given triangles ECD and triangle PQR
What is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.
here,
EC = PQ
CD = PR
ED = QR
therefore both triangles are similar by SSS property
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Write a piecewise-defined function for this graph please!
The piecewise-defined function for this graph will be y = -(3/5)x - 4/5 for x < 2 and y = (5/2)x - 7 for x ≥ 2.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The equation of the line that passes through (-3, 1) and (2, -2) is given as,
(y + 2) = [(- 2 - 1) / (2 + 3)](x - 2)
y + 2 = - (3/5)x + 6/5
y = -(3/5)x - 4/5
The equation of the line that passes through (2, -2) and (4, 3) is given as,
(y + 2) = [(3 + 2) / (4 - 2)](x - 2)
y + 2 = (5/2)x - 5
y = (5/2)x - 7
The piecewise-defined function for this graph will be y = -(3/5)x - 4/5 for x < 2 and y = (5/2)x - 7 for x ≥ 2.
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What is the equation of this graph in slope intercept form
The slope-intercept form of the two straight lines in the graph of the question are;
y = 4y = 3What is the slope-intercept form of the equation of a straight line?The slope-intercept form of the equation of a straight line is; y = m·x + c
Where;
m = The slope of the line
c = The y-intercept of the line
The values of the ordered pair of the points on the line are in the form (x, y)
The graph consists of two straight lines, therefore the equations that represent the graphs are found as follows;
Points on the blue line graph are (0, 4), (2, 4), and (4, 4)
The slope of the blue line graph is therefore;
m = (4 - 4)/(2 - 0) = 0
The y-intercept of the blue line graph is; c = 4
The slope-intercept form of the equation representing the blue line graph is therefore;
y = 0 × x + 4
y = 4The slope-intercept form of the equation of the blue line graph is; y = 4
Points on the red line graph are; (0, 3), (2, 3), (4, 3)
The sloped of the red line graph is therefore; m = (3 - 3)/(2 - 0) = 0
The y-intercept of the red line graph is; c = 3
The slope-intercept form of the equation of the red line graph is therefore; y = 0 × x + 3
y = 3
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Show that 100 divided by 20 is 5, using at least five daily life examples.
Answer:
true
Explanation
1. if a man has a hundred apples and like to share between 20 men. this has to be equal.
5 to 1man.
What is the sum of 15 and the product of 5 and v
Answer:
15+5=v
Step-by-step explanation:
Solve
1. Add the numbers
15+5 = v
20 = v
2. Move the variable to the left
20 = v
v = 20
3. Solution
v = 20
What is the equation of the line that passes through the point (6,-5) and has a
slope of 1/3?
Answer:
y = 1/3x - 7
Step-by-step explanation:
start with the point-slope form:
(y-y1) = m(x-x1)
substitute the values of (x,y) into the formula:
(y-(-5)) = 1/3(x-6)
y+5 = 1/3x - 2
now write in slope-intercept form:
y = 1/3x - 2 - 5
y = 1/3x - 7
Tell whether the angles are adjacent or vertical. Then find the value of x.
What is the meaning of conditionally promoted in school
•50 POINTS HELP• guessers will be reported.
If P=(4,7), Find: D2 (p)
The answer is distance from P to l. is equal to square root of 2
Find the distance from P to l ?Line I contains points (0, -3) and (7,4). Point P has coordinates (4,3)
Find the slope of line l we have the points (0, -3) and (7,4)
m=(4+3)/(7-0) m=7/7 m=1
Find the equation of the line perpendicular to the line l that passes through the point P
Remember that
If two lines are perpendicular, then the product of their slopes is equal to -1, the slope of the perpendicular line is
m=-1 .Find the equation in point slope form
y-y1=m(x-x1)
(x1,y1)=P(4,3)
substitute
y-3=-1(x-4)
y-3=-x+4
y=-x+7
m=1 (see the step 1)
and we have the point (0,-3) -----> y-intercept
so the equation of the line l is
y=x-3
Find the intersection point line l and its perpendicular line
y=x-3 ------> equation A
y=-x+7 -----> equation B
solve the system of equations
Adds equation A and equation B
2y=-3+7
2y=4
y=2
substitute in equation A
2=x-3 x=2+3 x=5
the intersection point is (5,2)
Find the distance between point (5,2) and point P(4,3)
Remember that, this distance is the distance from P to l.
the formula to calculate the distance between two points is equal to
we have
(x1,y1)=(5,2)
(x2,y2)=(4,3)
substitute in the formula
therefore
The answer is distance from P to l. is equal to square root of 2
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What are the exact values of a and b ?
CORRECT ANSWER
PROVIDE EXPLANATION
Answer:
b
Step-by-step explanation:
i think i say c because a is 30 degrees and c is 90 the whole triange needs to be 180 so b would be 60 also you see one side is 10 the other side also known as b is also 10 they have to be the same length and a is five because half of 10 is 5
100 POINTS!!! Please help.
Answer:
[tex]\dfrac{1}{a^{20}c^2d^2e^{6}}[/tex]
Step-by-step explanation:
Given expression:
[tex](a^{10}b^{0}cde^{3})^{-2}[/tex]
[tex]\textsf{Apply the exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]
[tex]\implies \dfrac{1}{(a^{10}b^{0}cde^{3})^{2}}[/tex]
[tex]\textsf{Apply the exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies \dfrac{1}{a^{(10 \times 2)}b^{(0 \times 2)}c^2d^2e^{(3 \times 2)}}[/tex]
Simplify:
[tex]\implies \dfrac{1}{a^{20}b^{0}c^2d^2e^{6}}[/tex]
[tex]\textsf{Apply the exponent rule} \quad a^0=1:[/tex]
[tex]\implies \dfrac{1}{a^{20}(1)c^2d^2e^{6}}[/tex]
[tex]\implies \dfrac{1}{a^{20}c^2d^2e^{6}}[/tex]
Miss Morgan is a science teacher she found that 30% of her 120 students are athletes and Mr. Gregory is a math teacher he found that 27 or 15% of his students are athletes
Activity: Factor Theorem
Use the Remainder Theorem and Factor Theorem to determine whether the given
binomial is a factor of P(x).
P(x) = 9x³+ 6x - 40 - 2x² + 2x4; binomial: x + 5
the given problem.
The given polynomial is a factor of P(x) because P(-5)=0.
From the remainder theorem, how do you derive the factor theorem?The Remainder Theorem states that if a synthetic division of a polynomial by x = a results in a zero remainder, then x = an is a zero of the polynomial (thanks to the Remainder Theorem), and x an is also a factor of the polynomial (courtesy of the Factor Theorem).
How can you tell if P(x) is a factor of X C?The Factor Theorem states that x - c is only a factor of P(x) when P(c) = 0.
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Verify which of the following are identities. 1) 1 + = 4 sec 2) 15 cos = 15 a. Only the first equation is an identity. b. None of the equations are identities. c. Only the second equation is an identity. d. Both the equations are identities. Please select the best answer from the choices provided A B C D
The correct option regarding which of the sentences represents a trigonometric identity is given as follows:
b. None of the equations are identities.
What is a trigonometric identity?A trigonometric identity is a relation that is true for all possible angle measures of [tex]\theta[/tex]
The first relation is given as follows:
[tex]4\cos{\theta}\tan{\theta}\sec{\theta} = 4[/tex]
The tangent and secant equations are given as follows:
tan(x) = sin(x)/cos(x).sec(x) = 1/cos(x).Hence:
4cos(x)tan(x)sec(x) = 4cos(x) x sin(x)/cos(x) x 1/cos(x)
4cos(x)tan(x)sec(x) = 4sin(x)/cos(x)
4cos(x)tan(x)sec(x) = 4tan(x).
Meaning that the first statement is not an identity.
The second relation is given as follows:
[tex]\frac{9\sec^{2}{\theta}}{\cos^{2}{\theta}} - \frac{\tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]
With a single denominator, we have that:
[tex]\frac{9\sec^{2}{\theta} - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]
The secant identity is given as follows:
[tex]\sec^2{\theta} = 1 + \tan^2{\theta}[/tex]
Hence:
[tex]\frac{9\sec^{2}{\theta} - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]
[tex]\frac{9(1 + \tan^2{\theta}) - \tan^{2}{\theta}}{\cos^{2}{\theta}} = 2[/tex]
[tex]\frac{9 + 8\tan^2{\theta}}{\cos^{2}{\theta}} = 2[/tex]
Is also a false statement, hence neither is an identity and option B is correct.
Missing InformationThe statements are given by the image presented at the end of the answer.
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how to figure out how many data points are in a data set
Answer:
Step-by-step explanation:
read the data numbers
Scatterplot Question
1) The equation of a line of best fit is; y = -1.15x + 102.8
2) The predicted monthly cost for an average temperature of 25°F is $74.05
How to find the equation of the line of best fit?The equation of a line of best fit is represented by the equation;
y = mx + c
where;
m is the slope
c is the y-intercept
1. To calculate the slope here, we will use the formula;
Slope = (y₂ - y₁)/(x₂ - x₁)
Using two coordinate points on the scatter plot, (72, 20) and (20, 80), we have the slope as;
Slope (m) = (80 - 20)/(20 - 72)
Slope = 60/-52
Slope = -1.15.
Plug in -1.15 for m and (a, b) = (72, 20) into the formula; y = mx + c to get;
20 = -1.15(72) + c
c = 20 + 82.8
c = 102.8
The equation will now be;
y = -1.15x + 102.8
2. Monthly heating cost, y, for a month with an average temperature of 25°F (x) will be calculated by plugging in 25 for x in the equation of line of best fit gotten earlier to get;
y = -1.15(25) + 102.8
y = 102.8 - 28.75
y = $74.05
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Use Vocabulary to Describe a Graph
What is the domain of the relation?
✓ -4
5x56
COMPLETE
What is the range of the relation?
-4 ≤ys
DONE ✔
-4
+y
4
2
-2
-4
X
For the given graph, the domain and range of the relation equals [-4, 6].
What in mathematics is a relation?A collection of ordered pairs having one item from each set makes up a relation between two sets. If the ordered pair (x,y) is present in the relation and the objects x and y come from different sets, then the objects are said to be connected. One kind of relation is a function.
In other words, the ordered pair collection, where the ordered pair is made up of an object from each set, is used to define the relationship between the two sets. As an illustration, consider the set notation symbols (-2, 1), (4, 3), and (7, -3) with curly brackets.
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Express The Ratio 36 : 42 In it's Simplest Form ?
Answer:
6/7
Step-by-step explanation:
36/42 = 36:6/42:6 = 6/7
Divide. Round to the nearest tenth.
3.5/2.29
Answer:
The answer will be 1.53 after dividing and rounding to the nearest tenth 3.5 divided by 2.29.