The point-slope form of a line is:
y = mx + b
where m is the slope and b is the y-intercept
Replacing with point (1, -8) and m= -9, we get:
-8 = (-9)(1) + b
-8 = -9 + b
-8 + 9 = b
1 = b
Then, the equation is:
y = -9x + 1
2 × 10 + 8 × 1 + 1 × 0.1 unit form
Answer: 20 x 1 x 0.1 + 8 + 1
2 + 8 = 10
22 is what percent of 110?
Answer:
22 is 20% of 110
Step-by-step explanation:
22 of 110 can be written as:22/110To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100 22/110 * 100/100=[22*100] /110 *1/100=20/100Therefore, the answer is 20%help ASAP we have to show out work
Answer:
1st[tex]7532 + 100y ^{2} + 100y^{2} - 1100[/tex]
2nd
[tex]200y ^{2} + 6432[/tex]
final answer
[tex]a = 200[/tex]
[tex]b = 6432[/tex]
five fair dice were tossed, and the sum of the resulting tosses was recorded. this process was repeated 10,000 times using a computer simulation. the number of times the sum of the five tosses equaled 26 was 53. what is the estimated probability that the sum of the five dice will be 26? (give the answer to four decimal places.)
The estimated probability that the sum of five dice will be 26 is 0.0053
What is meant by Estimated Probability?Estimated Probability: Estimated probability is an approximation, or estimate, of theoretical probability. The larger the number of trials, the more accurate we expect this approximation to be. If E consists of a single outcome s, we refer to P(E) as the probability of the outcome s, and write P(s) for P(E)
N = Number of Repeated Process = 10,000
n = Number of times the sum of the five tosses equaled 26 = 53
The estimated probability that the sum of the five dice will be 26 = n/N
Where n = 53
And N = 10,000
Using the above formula, we have the following:-
n/N becomes
n/N = 53/10,000
n/N = 0.0053
Hence, the estimated probability that the sum of five dice will be 26 is 0.0053
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Answer the following given the arithmetic sequence -55, -47, -39, -31.
Write the general term (aka the rule) for the nth term of this sequence. (Simplify [Distribute and Combine] the arithmetic sequence formula).
f(n) =
15th term =
Answer:
f(n)=8n-63
15th term=57
Step-by-step explanation:
goes up by 8 each time therefore the coefficient of n is 8
take for example the 1st term,8n would be 8, to get to -55 from 8 you would have to subtract 63, therefore the nth term is 8n-63.
please help me to find x,y and z
one mile is equal to 5280 feet
Length of the golf club where Bruce plays = 7,040 yards
Solution:
1. Let's convert 7,040 yards to miles:
1 yard = 0.000568182 mile
Now, we can use Direct Rule of Three, as follows:
Yards Miles
1 0.000568182
7,040 x
2. Solve for x:
1 * x = 0.000568182 * 7,040
x = 4 miles
Discussion Topic Ratios and rates are ways to relate different quantities. For example, for every 1 car, there are 4 tires. This is a ratio. What other examples of ratios can you think of? A rate is similar to a ratio. Rates usually include the word per. One example of a rate is a car driving 60 miles per hour. What other examples of rates can you come up with?
Some examples of ratios are:
There are 20 passengers on each bus
There are 2 red and 3 black balls in each box.
Some examples of unit rates are:
The man can run 10 miles in one hour.
I can type 100 words in 30 minutes.
What is ratio and unit rate?A unit rate means a rate for one of something.
We write this as a ratio with a denominator of one.
The ratio is the comparison of two quantities of the same units.
We have,
Ratio:
For every 1 car, there are 4 tires.
We can have some examples of ratios as:
1 - There are 20 passengers on each bus
2 - There are 2 red and 3 black balls in each box.
Unit rate:
Car driving 60 miles per hour.
We can have some examples of unit rates:
1 - The man can run 10 miles in one hour.
2 - I can type 100 words in 30 minutes.
Thus,
Some examples of ratios are:
There are 20 passengers on each bus
There are 2 red and 3 black balls in each box.
Some examples of unit rates are:
The man can run 10 miles in one hour.
I can type 100 words in 30 minutes.
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find the edge length of a cube whose volume is 1.728cubic cm is the edge length a rational number
The edge lengths of a cube that has a 1.728 cm³ volume is 1.2 cm
What is the volume of a cube?The volume of a cube is the given by the length of one edge raised to the power of 3
The volume of a cube, V = Length, L × Width, W × Height, H
Given that the lengths of the edges of a cube are equal, we have!
Length, L = Width, W = Height, H
Which gives;
The volume of a cube, V = L × L × L = L³
Therefore, for the given cube, we have;
L³ = 1.728 cm³
1.728 = 1728/1000
(a + b)³ = a³ + 3•a²•b + 3•a•b² + b³
Taking a = 10, and b = 3, we have;
(10 + 2)³ = 10³ + 3×10²×2 + 3×10×2² + 2³ = 1728
Therefore;
1728/1000 = (10 + 2)³/10³ = 12³/10³
Which gives;
L³ = 12³/10³
[tex] \displaystyle {L = \sqrt[3]{ \frac{{12}^{3} }{ {10}^{3} } } = 1.2}[/tex]
The edge lengths of the cube, L = 1.2 cm
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Trey is driving to Philadelphia. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Trey has 49 miles
to his destination after 37 minutes of driving, and he has 37.8 miles to his destination after 51 minutes of driving. How many miles will he have to his
destination after 57 minutes of driving?
distance (in miles)
Driving time(in minutes)
As per the linear function, the destination after 57 minutes of driving is 1055 miles.
Linear function:
The linear equation is defined as an algebraic equation of the form
y = mx + b.
involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Given,
Trey is driving to Philadelphia. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes).
Trey has 49 miles to his destination after 37 minutes of driving, and he has 37.8 miles to his destination after 51 minutes of driving.
Here we need to find his destination after 57 minutes of driving.
In this one, first we have to find the linear equation for the situation.
For that, we need the slope and the intercept.
So, here we consider the distance as y axis and the corresponding time as x axis. then we get the points as,
(x1. y1) => (37, 49)
(x2, y2) => (51,37.8)
Then the slope of the line is calculated as,
m = (37.8 - 49) / (51 - 37)
m = -11.2/14
Now, the intercept is calculated using the point (37,49) and the slope m = -11.2/14 is,
49 = -11.2/14(37) + b
686 = -414.4 + b
b = 1100.4
So, the linear equation of the function is
y = -11.2/14x + 1100.4
Here we need to find the distance when the time is 57 minutes,
For that, we have to apply the value of x as 57, to get the value of y,
Therefore,
y = -11.2/14 (57) + 1100.4
y = -45.6 + 1100.4
y = 1055
Therefore, the destination after 57 minutes of driving is 1055 miles.
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-3( v + 2) - 2v simplify use distributive property
NOTE -3 MUST MULTIPLY EVERYTHING IN THE BRACKETS.
[tex] = - 3(v) - 3(2) - 2v \\ = - 3v - 6 - 2v \\ = - 3v - 2v - 6 \\ = - 5v - 6[/tex]
GOODLUCK.
There were 450 travelers on a flight to Orlando, and 80% of them checked luggage. How many travelers checked luggage?
Answer:
5.625
Step-by-step explanation:
450÷80 I hope I'm right and it helps if not I'm sorry.
help please i need to know the numbers
The two linear functions has different slopes, the blue line has a slope of 2 and the magenta line has a slope of 1, and the same intercept, both have an intercept of 0.
What is one similarity and one difference between two lines?
In this problem we find the picture of two linear equations set on Cartesian plane. Linear functions are polynomials of the form:
y = m · x + b
Where:
m - Slopeb - InterceptTo find all similarities and differences between the two lines we must compare each expression with the equation of the line. Based on this strategy we find the following conclusions:
The two lines has two different slopes, the blue line is steeper (m = 2) than the magenta line (m = 1). The two lines has the same intercept, the intercept is at the origin.To learn more on linear equations: https://brainly.com/question/13738061
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Dilations and Partitions
A segment AB is partitioned as shown.
A
P
Complete the statement.
Answer:
3:7
Step-by-step explanation:
AR has 3 spaces while AB has 7 means its 3:7
Safara wants to rent a bicycle the graph shows the cost for renting a bicycle for different lengths of time. What is the slope of the line?
The slope of the line will be equal to 30.
Slope of a line may be defined as the steepness of a curve. Slope of line can be positive, negative or zero. Slope of a line is used to determine the equation of the line which is given as y = mx + b where m is the slope, b is y intercept and x and y are independent and dependent variables respectively. The slope of a line on points (x₁, y₁) and (x₂, y₂) is given by the formula, m = y₂ - y₁/x₂ - x₁.
According to the question the value of points is (x₁, y₁) = (0, 0) and (x₂, y₂) = (2, 60).
Now, the slope can be calculated as
m = (60 - 0)/(2 - 0)
=> m = 60/2
=> m = 30 which is the required slope.
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Which expressions are equivalent to 6 +(–x) + 2x + (–7) + 2x? Check all that apply.
x + x + 6 – 7 + x
2x + 2 + x
3 – x + 2x – 4 + 2x
x – 1
x + 1 ?
Please help, the only answer I've seen is A, but it's multiple choice.
Polynomial equation 3 -x + 2x -4 + 2x is equivalent to 6 +(-x) + 2x + (-7) + 2x
How to solve Linear Quadratic equations?The example of a first-degree polynomial is f(x) = MX + b of a linear function.
Consider a equation 1, to 6 +(-x) + 2x + (-7) + 2x, and simplify it.
6 +(-x) + 2x + (-7) + 2x
= 6 -x + 2x -7 + 2x
Take likely terms and add or subtract according to the equation.
6-7-x+2x+2x
-1+3x
Consider 3 – x + 2x – 4 + 2x as equation 2.
3 – x + 2x – 4 + 2x
Take likely terms and add or subtract according to the equation.
= -1+ 3x
Here equation 1 is equal to equation 2.
∴6 +(-x) + 2x + (-7) + 2x = 3 – x + 2x – 4 + 2x
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3. Which of the following is parallel to the line y = 3/4x +7?
The answer would be C. y = 3/4 x - 9
this line has the same slope => ¾
Given the line segment AB with endpoints (-10,0) and (6,8). Find the approximate value of AB, round the answer to the nearest tenth if necessary. Then find the exact coordinates of its midpoint.
The line segment AB with endpoints (-10,0) and (6,8). The equation of the line segment is x-2y+10=0.
Given that,
The line segment AB with endpoints (-10,0) and (6,8).
We have to find the equation of the line segment.
The equation of the line formula is y-y₁=m(x-x₁).
Here we don't know the m value that is nothing but slope of the line.
First we have to find the slope of the line segment.
Slope of the line m=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
m=(8-0)/(6+10)
m=8/16
m=1/2
Now,
We know the equation of line is y-y₁=m(x-x₁)
y-0=1/2(x+10)
2y=x+10
x-2y+10=0
Therefore, The equation of the line segment is x-2y+10=0.
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Challenge You buy 3.18 pounds of grapes, 1.35 pounds of peaches, and 2.48 pounds of apples. What is your total bill?
Grocery Store Prices
Item
Cost
Grapes
$1.29 per
pound
Peaches
$1.19 per
pound
Apples
$1.09 per
pound
The total bill of 3.18 pounds of grapes, 1.35 pounds of peaches, and 2.48 pounds of apples is $ 8.4.
Given that,
I bought 3.18 pounds of grapes, 1.35 pounds of peaches, and 2.48 pounds of apples.
Grocery Store Prices:
Grapes $1.29 per pound
Peaches $1.19 per pound
Apples $1.09 per pound
Therefore the total bill is = $ [(3.18 pounds x 1.29 per pound) + (1.35 pounds x 1.19 per pound ) + ( 2.48 pounds x 1.09 per pound)]
= $ ( 4.10 + 1.60 + 2.70)
=$ 8.4
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Jenna is now x years old and Amy is 3 years younger than Jenna. In terms of x, how old will Amy be in 4 years?
Answer:
x-3+4 = x+1
Step-by-step explanation:
x-3+4 = x+1.
Romeo walked 12 12 kilometers. If he averaged 312
kilometers per hour, how long did it take him to walk this distance?
Answer:
100
Step-by-step explanation:
He is walking and he go 12 kilometer total 312 so 312 divided by 12
7y - 14 factor please ..
Answer:
2
Step-by-step explanation:
7y-14=0
7y=14
7y/7=14/7
y=2
there are 10 questions on a discrete mathematics exam. how many ways are there to assign scores to the problems if the sum of the scores is 100 and each problem is worth at least 5 points?
There are 12,565,671,261 ways to assign scores to the problems in discrete mathematics exam.
What is meant by the term combination?A combination is a set of n items taken k at a time with no repetition. The conditions k-selection, k-multiset, and k-combination to repetition are frequently used to refer to combinations wherein repetition is permitted.In this case, we must employ the combination as well as repetition formula.
C(n + r-1, r) = (n + r -1)!/ r! (n - 1) !
n = 10 is provided (The number of questions)
Every question is worth a minimum of 5 points.
For 10 question = 10×5 = 50 points.
The total are 100 (sum of the scores)
r = 100 - 50
r = 50
Applying the formula.
C(10 + 50 - 1 , 50) = (10 + 50 - 1)!/ 501 (10 - 1)!
C(59, 50) = 59!/50!9!
We get by clarifying the above factorial.
C(59, 50) = 12,565,671,261
Thus, there are 12,565,671,261 ways to assign scores to the problems in discrete mathematics exam.
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Properties of equality can be used to justify steps in solving an equation.
Equation is 4x-1 =27. that means the correct answer is 27
The equals sign is used in mathematical formulas to show that two expressions are equal. In contrast to English, where an equation is defined as any well-formed formula that consists of two expressions joined by the equals sign, French defines an equation as containing one or more variables. The first stage in resolving a variable equation is determining the values of the variables that lead to equality.
Here, 4x-1 =27
We know that x=7
4x=27+1
4x= 28
Therefore x = 28÷4 = 7.
Hence, 4x-1 =27
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Graph this line using the slope
and y-intercept:
y= 1/6x + 4
Answer: See attached.
Step-by-step explanation:
To graph this, we will look at the pieces they gave us. Slope-intercept form equations are written in y = mx + b.
➜ The slope, m, is the pitch of the line. It's "rise over run" and helps us know where the plot points. For this problem, we will rise one value and move 6 values right to the next point.
➜ The y-intercept, b, is where the line intercepts the y-axis. It helps us know where the first point goes (0, y). For this problem, we will graph (0, 4).
Using these details, we will graph the line. View attached.
Find the missing angle.
Answer:
110 degrees?
Step-by-step explanation:
35+35= 70 right?
So then would have to subtract the 70 from 180 because that is total length of an angle to get 110 degrees
110 degrees
I might be wrong, because it might be different with triangles
Answer:
U = 110
Step-by-step explanation:
The formula for finding missing angle is.
a + b + c = 180 or in this case S + U + T = 180.
You already have the measurement of two angles so plug those in.
35 + U + 35 = 180
Now all you have to do is simplify and solve it.
35 + 35 + U = 180
70 + U = 180 you simplify by adding together 35.
U = 110 to cancel out 70 and isolate U you subtract 70 to both sides.
What is an equation of the line that passes through the point (-1, 5) and is parallel
to the line x - y = 6?
Answer:
Step-by-step explanation:
An equation of the line that passes through the point (−4,8) and is parallel to the line x+y=6 could be y = - x + 4 .What is the Point-slope form?The equation of the straight line has its slope and given point.If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equationy-y₁ = m(x-x₁)Which is the required equation of a line in a point-slope form.WE havex + y = 6y = - x + 6Slope= -1Now, Use the same slope since the two lines are parallel to each other.Point-slope formula:y - 8 = -1 (x - - 4)y - 8 = -1 (x + 4)y - 8 + 8 = -x - 4 + 8y = - x + 4 (Slope-intercept form)Hence, an equation of the line that passes through the point (−4,8) and is parallel to the line x+y=6 could be y = - x + 4 .Learn more about slope here: brainly.com/question/2503591#SPJ2
⇒Parallel lines have equal gradients . It means that to obtain the gradient of the new equation we should first find the gradient of the given equation by writing the given equation in the form y=mx+c
[tex]x-y=6\\y=x-6[/tex]
⇒The gradient of the given equation is 1 as we know that the gradient of the equation is the coefficient of the variable x
This means the equation of the new equation is also going to be 1 since I explained above why. to find the value of c in the new equation we will substitute the known values in the general equation including the point.
[tex]5=1(-1)+c\\6=-1+c\\c=5+1\\c=6[/tex]
This means that the new equation is going to be:
[tex]y=x+6[/tex]
Barbara has 25 shirts in her closet 0.6 of her shirts have short sleeves. How many shirts with long sleeves does Barbara have in her closet?
Barbara has 10 shirts with long sleeves
100% of Barbara's shirts is 25
Given: 60% of Barbara's shirts are short sleeves.
That means, 1.0 - 0.6 = 0.4 --> 40% of Barbara's shirts are long sleeves.
We need to find: 40% of 25
0.4 * 25 = 10
10 long sleeved shirts
The wheel chair ramp at a local arena has a ramp length of 20 feet and a rise of 17 inches. What angle does the ramp make with the sidewalk? Round to the nearest tenth of degree.
Answer:
58.2 degrees
Explanation:
The given problem is illustrated using the diagram below:
The angle the ramp makes with the sidewalk is labeled x above.
Using trigonometry:
[tex]\begin{gathered} \sin x=\frac{17}{20} \\ x=\arcsin (\frac{17}{20}) \\ x=58.2\degree \end{gathered}[/tex]The angle the ramp makes with the sidewalk is 58.2 degrees.
y=3x+1
4y=12x+4 solve for X and Y in coordinate form ( , )
Answer:
1) −1/3,1
Step-by-step explanation: