Answer:
y = i*x + 6
Step-by-step explanation:
Most often we use 'm' to represent 'slope.' Here you have used 'i' which is highly unusual.
Plugging in 'i' for slope and 6 for b, y = mx + b becomes
y = i*x + 6
Please help me with this
Answer:
2. David practices the most hours of soccer.
3. Jessie and Victor.
Step-by-step explanation:
3. On the x-axis, it shows that David practices the most hours out of all the friends.
2. This is just self explanatory!
Answer:
1. Title: Number of Hours Soccer was Practiced
Label X: Hours Label Y: Names of Maria's Friends
3. David practices the most
4. Jessie and Victor
The start of an arithmetic sequence is shown below.
Work out the nth term
Work out the 30th term in this sequence.
4 - 13 - 22 - 31
Therefore , the solution of the given problem of arithmetic mean comes out to be a(30) = 265.
Define arithmetic mean.When all of the values in a set of data have the same unit of measurement, such as when all of the numbers are heights, miles, hours, etc., this technique is utilized. Take the numbers 4, 7, 9, and 10 as an illustration. The count of numerals is 4, and the sum of the numbers is 30. 30 divided by 4 equals 7.5, which is the numbers' arithmetic mean.
Here,
Given that there is a common difference between each word, this is an arithmetic sequence. In this instance, the following term is obtained by adding 9 to the phrase before it in the sequence.
Alternatively put,
=> an=a1+d(n−1)
.Arithmetic Sequence:
d=9
This is the formula of an arithmetic sequence.
=>an=a1+d(n−1)
Substitute in the values of
=> a1 =4 and
d=9
.=>an=4+9(n−1)
Simplify each term.
Tap for more steps...
an=4+9n−9
Subtract 9 from 4
an=9n−5
Thus 30th term :
=> a(30)=9(30)−5
=> a(30) = 265
Therefore , the solution of the given problem of arithmetic mean comes out to be a(30) = 265.
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The ratio of surfers to swimmers at a beach is 1 to 5. The ratio of female swimmers to the total number of
swimmers is 4 to 15. If there are 60 female swimmers, how many surfers are there?
Answer:
57 surfers
Step-by-step explanation:
Use proportions to find the answer:
4/15 = 60/x to find amount of swimmers:
225 male swimmers
225+60 = 285 total swimmers
Find amount of surfers:
1/5 = x/285
57 surfers
The table shows the average speed of
the winner of a car race for different
years. About how many miles did the
winner of the car race in 2015 travel
after 2 hours? Round to the nearest
whole number.
The distance traveled after 2 hours will be 324 miles.
What is Average speed?Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.
The table shows the average speed of the winner of a car race for different
years.
year average speed
2005 135.17
2010 137.28
2015 161.94
2020 141.11
In order to find out how many miles the winner of the car race in 2015 traveled after 2 hours, we need to know the average speed at which they were traveling, which is given as 161.94 miles per hour. To find out how far they traveled in 2 hours, we can multiply this speed by the time, measured in hours.
So, if the average speed was 161.94 miles per hour, then the distance traveled in 2 hours is:
161.94 miles/hour × 2 hours = 323.88 miles.
Rounding up to the nearest whole number, the distance traveled after 2 hours is 324 miles.
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The question seems to be incomplete the missing table has been attached below
A car that travels 20 miles in 1/2 hour at consent speed travels at the same rate as a car that travels 30 miles in 3/4 hour at a constant speed.
Explain how the Distributive Property can be used to solve the equation 3(x+4)=36. Multiply the first term in the parentheses by 3, then add 3 to the second term in the parentheses. Then solve the equation using inverse operations.
Need help ! Due soon
HELP PLSSS I NEED THIS QUICK!!!!!
Answer: Its B
Step-by-step explanation:
Item 48 A couple has 5 children, all sons. If the woman gives birth to a sixth child, what is the probability that the sixth child will be a son
The probability that the sixth child will be a son is 50%. Each child, regardless of gender, has an equal chance of being born.
What is the probability that the sixth child will be a son?The probability of having a son as the sixth child can be calculated using the binomial formula. The binomial formula is used to calculate the probability of an event occurring after a certain number of trials, given the probability of success in each trial.In this case, the probability of having a son is the same for each trial (or birth), which is 0.5 (since the odds of having a boy or a girl are equal).Therefore, the probability of having a son as the sixth child can be calculated as follows:P(son) = (5 choose 6) x (0.5^6) = 0.015625
The binomial formula is used to calculate the probability of an event occurring after a certain number of trials, given the probability of success in each trial. In this case, the probability of having a son is the same for each trial (or birth), which is 0.5 (since the odds of having a boy or a girl are equal).Therefore, the probability of having a son as the sixth child can be calculated using the binomial formula as follows: P(son) = (5 choose 6) x (0.5^6) = 0.015625.
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Please help multiple the 2 binomials and simplify your expression and also make sure you combine like term and write your answers in standard form :(w - 7z) (6w+2z)
1) In your FINAL SOLUTION the first :
2) The second term is
3) The third term is
Step-by-step explanation:
Use the FOIL method
w × 6w =
[tex]6 {w}^{2} [/tex]
w × 2z = 2wz
-7z × 6w = -42wz
-7z × 2z =
[tex] - 14 {z}^{2} [/tex]
this simplified equals
[tex]6 {w}^{2} - 40wz - 14 {z}^{2} [/tex]
first term: 6w^2
second term: -40wz
third term: -14z^2
How to find the height of an isosceles triangle when only base is given?
It is not possible to find the height of an isosceles triangle when only the base is given. To find the height, you would need to know at least one other side length, in addition to the base.
The height of an isosceles triangle can be found using the Pythagorean Theorem, which states that the square of the hypotenuse (the longest side of the triangle) is equal to the sum of the squares of the two shorter sides. To use the Pythagorean Theorem, you must first know the length of at least two sides of the triangle. Since only the base is given, it is not possible to calculate the height of the isosceles triangle. In order to find the height, you would need to know either the length of the other two sides, or the angle of one of the two equal sides. Once you have this information, you can use the Pythagorean Theorem to calculate the height of the triangle.
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The principal at a middle school gave a survey to randomly selected students, asking which activity of the after-school program they were attending.
A bar graph matching students with activities
1.
Choose the best answers.
If the middle school had 2,000 students, how many students out of the total student population would she have expected to participate in each of the following activities?
Take a picture of the graph then re- upload the question with the same words from this one. without it i cannot solve the problem and the whole math equation relies on that graph which isn't here
Find the area of the right triangle below.
9m
4m
Area = 1/2*base*height = 1/2*9*4 = 18 sq.m
The length and breadth of the three rectangles are as given below:(a) 9 m and 6 m(b) 17 m and 3 m(c) 4 m and 14 mWhich one has the largest area and which one has the smallest?Solution:
We will be using the area of rectangle formula to calculate the areas of the three rectangles given.
(a) Length(l) = 9 m and Breadth(b) = 6 m
Area of rectangle = l × b
= 9 × 6
= 54 m2
(b) Length(l) = 17 m and Breadth(b) = 3 m
Area of rectangle = l × b
= 17 × 3
= 51 m2
(c) Length(l) = 4 m and Breadth(b) = 14 m
Area of rectangle = l × b
= 4 × 14
= 56 m2
Therefore, the area of the rectangle with the dimensions 4m and 14m having an area of 56 m2 that is (c) has the largest area whereas, the area of the rectangle with dimensions 17m and 3m having an area of 51 m2 that is (b) has the smallest area.
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What ordered pair is a solution to the system of linear equations?
Solutions of a system of an equations are given with the values of the variables which make all the equations true in which a solution of a system of given two linear equations is represented in an ordered pair (x, y) as explained with example below:
An example of a system of two linear equations in an ordered pair , in order to show the two equations that are arranged together to form a system of equations in an linear form .
let , 2x + y = 7,
x- 2y = 6
A linear equation which consists of two variables, as 2x + y = 7, has an infinite number of solutions. in which the graph of a equation is a line. we know that every point on the line is a required solution to the equation and every solution of an equation is a point on the line.
To solve a system of two linear equations in an ordered pair , we want to find the values to particular variables that are solutions to both linear equations. In other words, we are expecting for the ordered pairs (x, y) that make both equations valid . These type of equations are known as solutions to a system of equations.
hence , the solutions of a system of equations are the values of the variables that make all the valid and obeyed equations are true. and solution of a system of two linear equations is represented always in an ordered pair (x, y) .
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Denise is comparing a salaried job offer for $1,500 a week to a wage of $55 per hour. Which equation would help her find the "break-even point" where each offer would be equal?
A. 1500 = 55 + 2H
B. 1500÷10 = 55H
C. 1500 = 55H
D. 1500H = 55(40)
E. 1500-H= 55 x 8
Therefore , the solution to the given problem of inequality comes out to be 120d + 1,500 = 110d + 2,500.
What is inequality?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal symbol (). Different inequalities are used to contrast values, no matter how small or large. Many simple inequalities can be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right
Here,
Given : $1,500 a week to a wage
$55 per hour
Thus ,
Taking all the information in concern
We get,
where d is the is he number of hour
120d + 1,500 = 110d + 2,500
Therefore , the solution to the given problem of inequality comes out to br
120d + 1,500 = 110d + 2,500.
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What is m∠CDE?
A circle with center point A and four chords BE,ED,DC,CB joins to make a trapezoid. The angle at BED is given as 62 degree and also arc angles BE and BC measuring 90 degree and 64 degree respectively
A. 45
B. 62
C. 64
D. 77
Answer:
45°
Step-by-step explanation:
Angle CDE is half of a right angle
1. 90°/2 = 45°
If you know how to do box and whisker plot pls help cause I forgot how to do it
The interquartile range (IQR) is the box plot showing the middle 50% of scores and can be calculated by subtracting the lower quartile from the upper quartile (e.g. Q3−Q1).
Look at the picture below to get a better understanding:
Answer:
9
Step-by-step explanation:
IQR is the length of the box
To start, take the max of the box (which is 15)
And then subtract the min of the box (which is 6)
15-6=9
9 is the IQR
What is the median for the following set of data?
5, 7, 8, 10, 12, 12
A.12
B.10
C.9
D.7
Answer:
C.)9
Step-by-step explanation:
You add up all your data to get 54 and divide by the amount of numbers you had in the data which was 6. So if you divide 54 by 6 you get 9.
9) The dog pen at doggy daycare has a length of 29 feet and a width of 18 feet.
What is the area of the dog pen?__
What is the perimeter of the dog pen?_
Answer:
The area of the dog pen is 522 [tex]ft^2[/tex]. (feet squared)
The perimeter of the dog pen is 94 feet
Step-by-step explanation:
Area
Here is the formula for the area of a rectangle.
[tex]A=lw[/tex]
We are given
[tex]l=29\\w=18[/tex]
Lets evaluate [tex]A[/tex].
[tex]A=29*18\\A=522[/tex]
Perimeter
Here is the formula for the perimeter of a rectangle.
[tex]P=2w+2l[/tex]
We are given
[tex]l=29\\w=18[/tex]
Lets evaluate [tex]P[/tex].
[tex]P=2l+2w\\P=(2*29)+(2*18)\\P=58+(2*18)\\P=58+36\\P=94[/tex]
would you earn a greater total commission with Sara or Ravi?
The current ratio of Sara's sales to Ravi's sales is 100:2
Sara's pieces of art sell for $25 each your commission is 60%
Ravi's pieces of art sell for $2000 each your commission is 25%
as a professional artist assume you will make pieces of art that sell at the same sales ratio as the artist with whom you apprenticed. would you earn more as a professional after apprenticed for Sara or Ravi?
As a professional artist and judging from the current sales ratio and commission rates, one would earn more if one apprenticed for Sara.
Which of Sara and Ravi guarantees more earnings after apprenticeship?As evident in the task content; the current ratio of Sara's sales to Ravi's sale is 100 : 2.
Since Sara's pieces of art sell for $25, the total earnings is; 25 × 100 = $2500.
Hence, since the commission rate is 60%, it follows that the commission earned on sales of Sara's pieces is; 60% of 2500 = 0.6 × 2500 = $1500.
Also, since Ravi's pieces each cost $2000, it follows that for 2 pieces, the total earnings is; 2 × $2000 = $4,000.
Hence, since the commission rate for Ravi's pieces is 25%, the commission earned is therefore; 25% of 4000 = 0.25 × 4000 = $1000.
On this note, one would earn more if one apprenticed for Sara.
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What is the difference of the polynomials 5x 3 4x 2 )-( 6x 2 2x 9?
The Solving we get the difference of the given polynomials [tex](5x^{3} + 4x^{2} ) - (6x^{2} - 2x - 9)[/tex] as [tex]5x^{3} - 2x^{2} + 2x + 9[/tex] .
What is a Polynomial ?
The polynomial is defined as the expression that is composed of variables, constants and exponents, which are combined by using mathematical operations such as addition, subtraction, multiplication and division .
Based on number of terms present in polynomial , they can be classified as monomial, binomial, and trinomial .
For Example : [tex]3x^{2} +4x[/tex] .
The polynomial is given as : [tex](5x^{3} + 4x^{2} ) - (6x^{2} - 2x - 9)[/tex] ;
On simplifying the above given polynomial ,
we get ,
= [tex]5x^{3} + 4x^{2} - 6x^{2} + 2x + 9[/tex]
On subtracting the like terms together in above equation ,
we get ;
= [tex]5x^{3} - 2x^{2} + 2x + 9[/tex]
Therefore , the difference of the polynomials is (d) [tex]5x^{3} - 2x^{2} + 2x + 9[/tex] .
The given question is incomplete , the complete question is
What is the difference of the polynomials?
[tex](5x^{3} + 4x^{2} ) - (6x^{2} - 2x - 9)[/tex]
A. –x³ + 6x² + 9
B. –x³ + 2x² – 9
C. 5x³ – 2x² – 2x – 9
D. 5x³ – 2x² + 2x + 9
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Someone please help me on this & I promise I’ll make sure you get points
The common factors and the greatest common integer for each pair of numbers are:
Common prime factors Greatest common factor
30, 45 3 and 5 5
40, 70 2 and 5 5
63, 42 3 and 7 7
81, 54 3 3
33, 99 3 and 11 11
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
30 and 45
3 x 5 x 2 = 30
3 x 3 x 5 = 45
Common prime factors = 3 and 5
Greatest common factor = 5
40 and 70
2 x 5 x 4 = 40
2 x 7 x 5 = 70
Common prime factors = 2 and 5
Greatest common factor = 5
63 and 42
3 x 3 x 7 = 63
2 x 3 x 7 = 42
Common prime factors = 3 and 7
Greatest common factor = 7
81 and 54
3 x 3 x 3 x 3 = 81
2 x 3 x 3 x 3 = 54
Common prime factors = 3
Greatest common factor = 3
33 and 99
3 x 11 = 33
3 x 3 x 11 = 99
Common prime factors = 3 and 11
Greatest common factor = 11
Thus,
Common prime factors are given above.
The greatest common factor is given above.
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How do you write log in e form?
Log to exponential form is very useful to easily perform complicated numeric calculations. The logarithmic form
loga N=x
can be easily transformed into the exponential form as:
ax=N
Normally, large astronomical and scientific calculations are written in exponential form, and here we can use the log to exponential form of transformation.
Logarithms are occasionally transformed using antilog tables to normal form, rather than transforming into exponential form.
Log to exponential form required specific formulas of logarithms and exponents. Logarithms help in easily transforming the multiplication and division across numbers into addition and subtraction.
And exponentials help in working across numbers with different bases and different powers.
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Select the correct answer.
Which expression is in simplest form?
A. 4x√2xy
B. 3a^2 √4b
C. c^3d √3d^3
D. 14s √st^2
pls help!!
solve the inequalities
1. x/-3 >_ 12
2. 2x/9-2>10
What is the area of the shaded region in the archery target? Use 3.14 for pi.
Answer:
690.8 in^2
Step-by-step explanation:
First find the area of the three circles, by doing 3.14 r^2
With the innermost circle, 3.14 6^2 --> 113.04
With the second circle, 10 inches + 6 inches (inner circle radius), 3.14 16^2 --> 803.84.
With the outermost circle, you don't need it for the problem.
Then, we do subtraction to find the area of the shaded region, removing the "dount hole".
803.84 - 113.04 = 690.8 in^2
how do i classify triangles?
Answer:
By the angles and sides, but if you need more help here is a link to a video that could be pretty helpful.
Step-by-step explanation:
https://www.khanacademy.org/math/cc-fourth-grade-math/plane-figures/imp-classifying-triangles/v/scalene-isosceles-equilateral-acute-right-obtuse#:~:text=Learn%20to%20categorize%20triangles%20as,acute%2C%20right%2C%20or%20obtuse.
Answer:
for equilateral triangle
1.each angle of an equilateral triangle is 60 degree
2.all the sides of equilateral triangle are equal
for isosceles triangle
1.any two sides of isosceles triangle are equal
2.base angles of an isosceles triangle is equal.
for scalene triangle
1.all the sides of scalene triangle are different.
Step-by-step explanation:
Hope this helps u!!
PLEASW HELP MY GRADE IS A 71 IS F PLEASE HELP BRAINLY PLEASE HELP MEE
Answer:
The least value is 2
Q1 is 3
Median is 6
Q3 is 8
Greatest value is 10
IQR is 6
Range is 5
Step-by-step explanation:
PLEASE HELP GUYS THANK YOU IN ADVANCED
Answer:
x=3.5
Step-by-step explanation:
Answer:
x=sqrt(12) or 2sqrt(3)
Step-by-step explanation:
You can just use pythagorean theorem for this.
We can do 4^2+x^2=8^2
This gives us 16+x^2=64.
Simplify: x^2=48
x=sqrt(48)
Now, we can find x!
We just have to do 6^2+x^2=sqrt(48).
We get 36+x^2=48
simplify: x^2=12
Now, x=sqrt(12) or 2sqrt(3)
given the expression 1/4-3/5 select the addition problem that is equivalent to it
The expression (1/4 - 3/5) is equivalent to the following expressions -
(3/20 - 10/20) (13/20 - 1)(23/20 - 3/2)What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as -
(1/4 - 3/5)
The given expression is -
(1/4 - 3/5)
1/4 - 3/5
(5 - 12)/20
-7/20
We can write the fraction : -7/20 in many ways as given below -
-7/20 = (3/20 - 10/20) = (1/4 - 3/5)
-7/20 = (13/20 - 1) = (1/4 - 3/5)
-7/20 = (23/20 - 3/2) = 1/4 - 3/5)
Therefore, the expression (1/4 - 3/5) is equivalent to the following expressions -
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Please help..... and how u got the answer