The slope of the line is 4/13
A line's steepness can be determined by looking at its slope.
The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. The slope of the line is measured in m.
The given points are (-8, 11)(18, 19)
The slope (m) of the line when the line passes through the points \((x_{1}, y_{1} )\) \(( x_{2}, y_{2} )\) is given by m = \(\frac{y_{1} - y_{2} }{x_{1} -x_{2} }\)
Putting the values of the points (-8, 11) and (18, 19) in the formula of the slope, we have :
m = \(\frac{19 -11}{18 -(-8)} = \frac{8}{26} = \frac{4}{13}\)
Hence, the slope of the line is 4/13
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Solve the proportion 7/5=21/x
(show work/explain how u got it please)
Answer:
x = 15
Step-by-step explanation:
I am going to use the "butterfly" method for proportions
(there is another type of butterfly method that is different, I am not sure if there is another name for this method, sorry!)
\(\frac{7}{5} = \frac{21}{x}\)
Multiply the:
- top left by the bottom right
-the top right by the bottom left
and then:
- set them equal to each other
So we will multiply 7 by x and 21 by 5 (if this doesn't make sense tell me and I will explain it even more!)
7x = 21 * 5
7x = 105
(Divide both sides by 7) x = 15
Hope this helps, have a nice day! :D <3
6 more than x is less than 4
Answer:
how
Step-by-step explanation:
Answer:
6×4?
Step-by-step explanation:
6 is more than 4 bro
what need to do here
Gerber Product's Gerber Mixed Cereal for Baby contains, in each serving, 60 calories and 11 grams of carbohydrates.† Gerber Mango Tropical Fruit Dessert contains, in each serving, 80 calories and 21 grams of carbohydrates.† If you want to provide your child with 340 calories and 75 grams of carbohydrates, how many servings of each should you use?
Gerber Mixed Cereal for Baby
serving(s)
Gerber Mango Tropical Fruit Dessert
serving(s)
3 of mixed cereal and 2 of tropical fruit
Carter shared his post with 10 friends, who each share with only 2 people each day. Carter shared his post with 10 friends, who each share with only 2 people each day.
write an exponential function to represent the spread of carters social media post.
The exponential function will be equal to y = 20ˣ.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Carter shared his post with 10 friends, who each share with only 2 people each day.
The exponential function will be written as,
y = abˣ
y = 10(2)ˣ
y = 20ˣ
Therefore, the exponential function will be equal to y = 20ˣ.
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Answer:
f(x) = 10(2)^x
Step-by-step explanation:
Rule for solving: The first number is the first part of the equation, and the second number is in parenthesis.
What is the slope of the line that passes through the points (0, -6) and (0, -5)?
The slope of the line that passes through the points (0, -6) and (0, -5)is undefined.
What is the slope of the line that passes through the points (0, -6) and (0, -5)?Slope is line's inclination with regard to the horizontal is quantified numerically. In analytical geometry, a line, ray, or line segment's slope is the ratio of the vertical to horizontal distance between any two points on the line, ray, or line segment ("slope equals rise over run").
In differential calculus, the derivative of a function yields the slope of a line tangent to its graph, which represents the function's instantaneous rate of change with respect to changes in the independent variable.
Ok so slope is the change in y over change in x.
Your why changed from 6 to -5 so you can write this as -5 - 6
Your x didn’t change it went from 0 to 0
You can write this as 0-0
Now -11/0 is what you end up with as a slope.
Any number divided by 0 is undefined so your slope is undefined.
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The game is used in a school to rasie money for charity. Each player pays 30p to play this game. To win a bag of crisps players have to sxore exactly 7. Each bag of crisps cost the school 20p. How much should the school expect to raise for charity if 60 peoples played the game
Answer:
The answer is "1500p".
Step-by-step explanation:
The given probability is = 7. so, https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B12%7D%20%5C%20%3D%20%5Cfrac%7B1%7D%7B4%7D
It implies, that only if https://tex.z-dn.net/?f=120 people enjoy the sport, its school will gather https://tex.z-dn.net/?f=%5C%20120%20%5Ctimes%20%5C%2020%5C%20p%20%3D%20%5C%202400%20%5C%20p
But, https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D its side will survive = 30 people, as well as the school would have to invest https://tex.z-dn.net/?f=%5C%2030%20%5Ctimes%20%5C%2030p%20%5C%20%3D%20%5C%20900p
for lollipops So, the school will collect = https://tex.z-dn.net/?f=2400%20-%20900%20%3D%201500p
IF RIGHT PLZ GIVE BRAINLIEST
THANK U
HAVE A GREAT DAY AND BE SAFE :)
XD
The school can expect to raise approximately £85.71 for charity if 60 people played the game.
If each player pays 30p to play the game, and 60 people played the game, the total amount raised by the school would be:
Total amount raised = Number of players * Cost per player
Total amount raised = 60 * 30p
Now, let's calculate the cost of the crisps won by the players:
Cost of crisps won = Number of crisps won * Cost per crisp
Since each bag of crisps costs 20p, and players have to score exactly 7 to win a bag of crisps, we need to determine the number of bags of crisps won.
To find the number of bags of crisps won, we divide the total number of players by the number of players required to win a bag of crisps:
Number of bags of crisps won = Number of players / Number of players required to win a bag of crisps
Number of bags of crisps won = 60 / 7
Now, we can calculate the cost of the crisps won:
Cost of crisps won = Number of bags of crisps won * Cost per crisp
Cost of crisps won = (60 / 7) * 20p
Finally, to determine the amount the school expects to raise for charity, we subtract the cost of the crisps won from the total amount raised:
Amount raised for charity = Total amount raised - Cost of crisps won
Amount raised for charity = 60 * 30p - (60 / 7) * 20p
To simplify the calculation, we can convert the pence to pounds by dividing by 100:
Amount raised for charity = (60 * 30) - (60 / 7) * 20 = £(1800 - (1714.2857))
Amount raised for charity ≈ £85.71 (rounded to two decimal places)
Therefore, the school can expect to raise approximately £85.71 for charity if 60 people played the game.
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0.04,0.004,0.4,0.044 arrange the set from largest to smallest
Answer:
0.4 0.044 0.04 0.004
Step-by-step explanation:
How can I factor these complex conjuages? a^2 + b^2 and a^2 - b
Answer:
1) \((a+ib)(a-ib)\)
2) \(a^2+i^2b\)
Step-by-step explanation:
1) \(a^2+b^2\)
=> \(a^2 - (-1)b^2\) (We know that -1 = \(i^2\) )
=> \(a^2-i^2b^2\)
=> \((a)^2-(ib)^2\)
Using Formula \(a^2 -b^2 = (a+b)(a-b)\)
=> \((a+ib)(a-ib)\)
2) \(a^2-b\)
=> \(a^2+(-1)b\) (We know that -1 = \(i^2\) )
=> \(a^2+i^2b\) (It cannot be simplified further)
Answer:
\(\boxed{(a+ib)(a-ib)}\)
\(\boxed{a^2+i^2b}\)
Step-by-step explanation:
\(a^2 + b^2\)
Rewrite expression.
\(a^2- (-1)b^2\)
Use identity : \(-1=i^2\)
\(a^2- i^2 b^2\)
Factor out square.
\(a^2-(ib)^2\)
Apply difference of two squares formula : \(a^2-b^2 =(a+b)(a-b)\)
\((a+ib)(a-ib)\)
\(a^2-b\)
Rewrite expression.
\(a^2+(-1)b\)
Use identity : \(-1=i^2\)
\(a^2+i^2b\)
1
2
5
6
7
A six-sided number cube is rolled twice.
What is the probability that the first roll is an even number and the second roll is a number greater than 4?
1
6
1
3
2
3
5
6
Answer:
1/6
Step-by-step explanation:
3/6 for even 3/6*2/6-----1/2*1/3
Find the surface area of a cylinder pls
The total surface area of the cylinder is 157 square feet.
Given the radius of the cylinder = 4 inches
height of the cylinder = 9 inches
Total surface area is calculated by the formula:
A = 2πr² + 2πh
A = 2 × 3.14 × 4² + 2 × 3.14 × 9
or, A = 157 square feet.
Therefore the total surface area of the cylinder is 157 square feet.
The surface area of a solid item is a measurement of the total volume that the surface of the thing occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more complicated than the definition of arc length for one-dimensional curves.
The definition of surface area for polyhedral (i.e., particles with flat polygonal faces), where the surface area is equal to the sum of the areas of its faces. When smooth surfaces, like spheres, are represented as parametric surfaces, their surface area can be calculated.
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Covert 11/4 into a percent
Answer: Should be 275%
Step-by-step explanation:
These are the mean weights and standard deviations for two samples of six-month-old puppies for different breeds.
Breed A’s mean weight is 42 lbs, standard deviation is 2.4 lbs.
Breed B’s mean weight is 30 lbs, standard deviation is 4.8 lbs.
Which breed has a high average weight?
The mean weight of Breed A is higher than the mean weight of Breed B. Therefore, Breed A has a high average weight. Here's how to determine it:
Step 1: Observe the mean weights for each breed.
Breed A has a mean weight of 42 lbs. Breed B has a mean weight of 30 lbs.Step 2: Compare the mean weights.
Breed A has a higher mean weight than Breed B. Breed A's mean weight is 42 lbs, while Breed B's is 30 lbs. Since 42 is greater than 30, Breed A has a higher average weight than Breed B.Therefore, Breed A has a high average weight.
The next question is, how about standard deviation? Standard deviation is the farthest difference between the data vector and the average. So, since the standard deviation of A is less than B, it supports that A also has more uniform data than B.
PLEASE HELP————————-
Michelle had 7 paperback books and 4 hardcover books on the shelf by her bed. Write a ratio to represent the ratio of paperback books to hardcover books
Answer:
7:4 that would be the ratio
Pleasee help it’s due in 10 minutes I’m begging pleaseeee
Answer:
50t
Step-by-step explanation:
helpppppppp meeeeeeeeeeeeeeeeeee
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
5x - y = 8 ( subtract 5x from both sides )
- y = - 5x + 8 ( multiply through by - 1 )
y = 5x - 8 ← in slope- intercept form
with slope m = 5 and y- intercept c = - 8
If f(x)=x^2+2x+1 and g(x) = 7x - 5, for which values of c is f(x) = g(x)
Answer:
x² + 2x + 1 = 7x - 5
x² - 5x + 6 = 0
(x - 2)(x - 3) = 0
x = 2, 3
(4) is the correct answer.
Solve for question 25
Answer:
{e,g}
Step-by-step explanation:
Given, X = {a, c, e, g} , Y = {a, b, c}
(X-Y)= {e,g}
now, x ∩ (X-Y)
= {a, c, e, g} ∩ {e,g}
= {e,g}
A trawler A is 40km west of another trawler B. A set off at 20kmh travel at 25kmh. What course should trawler B take to intercept trawler A
Trawler B should take a course that is 18 degrees east of north.
How to explain the angleIn order to intercept Trawler A, Trawler B must travel in a direction that will bring it closer to Trawler A. Since Trawler A is traveling due west, Trawler B must travel in a direction that is east of north. The angle that is 18 degrees east of north will bring Trawler B closest to Trawler A.
Here are the steps to find the course that Trawler B should take:
Draw a diagram of the situation.
Label the two trawlers A and B.
Draw a line representing the direction that Trawler A is traveling.
Draw a line representing the direction that Trawler B should travel.
Measure the angle between the two lines.
The angle between the two lines will be 18 degrees. Therefore, Trawler B should take a course that is 18 degrees east of north.
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What is the intermediate step in the form
(x+a)^2=b as a result of completing the square for the following question
The intermediate step in completing the square is\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\)
To complete the square for the equation \($(x+a)^2=b$\), we can follow these steps:
1. Expand the left side of the equation: \($(x+a)^2 = (x+a)(x+a) = x^2 + 2ax + a^2$\).
2. Rewrite the equation by isolating the squared term and the linear term: \($x^2 + 2ax = b - a^2$\).
3. To complete the square, take half of the coefficient of the linear term, square it, and add it to both sides of the equation:
\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\).
4. Simplify the right side of the equation: \($x^2 + 2ax + (a^2) = b$\).
This step can be represented as: \(\[x^2 + 2ax + (a^2) = b - a^2 + (a^2)\]\)
This intermediate step helps us rewrite the equation in a form that allows us to factor it into a perfect square.
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what is the answer for 6x + 3(x-2)
Answer:
9x - 6
Hope this helps! <3
(If you need a step by step lmk)
Answer:
6x+3(x-2)
6x+3x-6
9x-6
12 tenths+9 tenths= how many tenths?
Answer:
12 + 9 = 21 if thats what ur asking
Use the general solution to solve 5 – 6x = 8x + 17.
Answer:
8x+6x=14x
5-17= -12
divide both sides by 2
7x= -6
divide by 7
you get x= -6 over 7
Step-by-step explanation:
Answer:
x= -6/7
Step-by-step explanation:
1. 5 - 17 = 8x + 6x
2. -12 = 14x
3. x= -6/7
1/2 cup serving provides 180 calories and 6 grams. How many calories and grams of fiber are in 1/3 cup serving
Answer:
1/3 cup Serving will provide 120 calories and 4 grams of fibre
Step-by-step explanation: one gram = 7.716 calories
1/2 cup serving provides 180 calories and 6 grams.
One cup serving with you provide 360 calories and 12 grams
So
1/3 cup Serving will provide 360/3 calories and 12/3 grams
1/3 cup Serving will provide 120 calories and 4 grams of fibre
2x-5y + 11=0 3x-4y=18
Answer:
x = 134/7
y = 69/7
Step-by-step explanation:
let the x or y have a same coefficient to have a better way to solve it
I NEED HELP ( please dont steal or guess means not to me) and I will giver brainiest if you have proof
Answer:
option d, 7.25Step-by-step explanation:
2AB=YZ(By parallel line theorem)
4x-8=21
4x=29
x=29/4=7.25Has anyone done the inverse functions mastery text on edmentum it’s super hard stuck on this question and the pictures wont help
The phone company A Fee and Fee has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 280 minutes, the monthly cost will be $127. If the customer uses 750 minutes, the monthly cost will be $291.5.
A) Find an equation in the form y=mx+b where x is the number of monthly minutes used and y is the total monthly of the A Fee and Fee plan. Answer: y=
B) Use your equation to find the total monthly cost if 910 minutes are used. Answer: If 910 minutes are used, the total cost will be dollars.
A) the equation is y=(1/5)x+71. and B) If 910 minutes are used, the total cost is $253.
What is equation?
When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilised (0, b). It provides both a slope and an intercept, which is why the form is known as the slope-intercept form.
The given points are, (280,127) and (750,291.5)
Then slope = (291.5-197)/(750-280) = 94.5/470 = 1/5
y = mx + b
Solve for "b"::
127 = (1/5)280 + b
=> b= 71
Then the equation is y=(1/5)x+71.
Now total minutes is x=910 then
=> y=(1/5)910+71
=> y=182+71 = $253
Hence A) the equation is y=(1/5)x+71. and B) If 910 minutes are used, the total cost is $253.
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For the following set of data, find the population standard deviation, to
the nearest thousandth.
45, 30, 35, 20, 21, 46, 16, 37
=====================================================
Explanation:
Before we can find the standard deviation, we need to find the sample mean which is xbar.
Xbar is found by adding up the values and dividing by n = 8 since there are 8 values in this data set
xbar = (sum of values)/n
xbar = (45+30+35+20+21+46+16+37)/8
xbar = 31.25
Refer to the spreadsheet table below in the attached image. The first column is the column of x values, which is the data set given to us. The next column over is the expression x-xbar, which will have us subtract xbar from each data value.
Example: x-xbar = 30-31.25 = -1.25 in row 2
From there, we square everything in that second column to form the third column. Adding everything in that third column results in the yellow highlighted value 919.5
---------------
The next step is to divide that over n = 8 to get 919.5/n = 919.5/8 = 114.9375
This is the population variance. Apply the square root to get the population standard deviation
sqrt(variance) = sqrt(114.9375) = 10.7208908
which is approximate. This rounds to 10.721
---------------
Note: if you wanted the sample standard deviation, then you'd divide by n-1 = 8-1 = 7. However, the other steps mentioned are identical.
what is the binary notation for the decimal number 12?
Answer:
1100
Step-by-step explanation:
8 = 1000
9 = 1001
10 = 1010
11 = 1011
12 = 1100
hope this helps :)