The equation in slope intercept form is y=-1/5x +13/5.
The given equation is y-3=-1/5(x+2).
We need to write this equation in the form of slope intercept form.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
y-3=-1/5(x+2).
y-3=-x/5 -2/5
Add 3 on both sides:
y=-x/5 -2/5 +3
y=-x/5 +13/5.
Hence, the equation in slope intercept form is y=-1/5x +13/5.
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Predict the number of times you roll an odd number or a two when you roll a six-sided number cube 300 times.
Answer:
The probability of rolling an odd number or a two on a six-sided die is 1/2 + 1/6 = 2/3. This means that if you roll a six-sided die 300 times, you can expect to roll an odd number or a two approximately 200 times
Step-by-step explanation:
Answer: 400 TIMES
Step-by-step explanation:
1/6 +1/2
4/6
2/3
four of the same textbooks contain a total of 448 Pages which represents the total number of pages why of any numbers of the same textbooks x?
Total number of pages are 3392 of any numbers of the same textbooks x.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The same textbooks contains a total of 848 pages .
Which represent the total number of pages , y , of any number of the same textbooks , x.
The number of same text book = x
Each of this textbook contains a total of 848 pages .
The total number of pages can be computed as
y = 848x
for 4 same text book
y = 848 × 4 = 3392 pages
for 3 same text book
Hence, total number of pages are 3392 of any numbers of the same textbooks x.
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Similar question is given in the attachment.
The off peak weekly average cost of hiring a caravan is £520 in July the average cost increase to £800 calculate the percentage in cost give your answer to 2 significant figure
Answer:
54%
Step-by-step explanation:
For this case you can solve the problem by applying a simple rule of three in which we have
520 ---> 100%
800 ---> x
Clearing x we have
x = (800/520) * 100 = 154%
the percentage increase in cost was
154-100 = 54%
answer
the percentage increase in cost was 54%
6. Kimi saw 13 animals in the barnyard.
Some were chickens and some were sheep.
Altogether there were 36 legs.
How many chickens and how many sheep did Kimi see?
Answer:
Kimi saw 5 sheep and 8 chickens.
Step-by-step explanation:
ok 13 animals so
c+s= 13
chicken= 2 legs
sheep = 4 legs
2c+4s = 36
factor out the 2 since all of them are even numbers
2(c+2s) = 2(18)
c+2s = 18
subtractfrom the second
c+2s = 18
- c+2s = 13
s = 5
c+5 = 13
13
- 5
= 8.
so 5 sheep and 8 chickens
Brian's retirement party will cost $20 if he invites 4 guests. If there are 19 guests, how much will Brian's retirement party cost? Solve using unit rates.
The party cost for 19 guests is 95 dollars.
How to find the party cost?We assume there is a proportional relation between the number of guests and the cost.
y is the cost and x the number of guests, then we can write:
y = k*x
k is the unit rate.
We know that it costs $20 to invite 4 people, then:
20 = k*4
20/4 = k
5 = k
Then the relation is:
y = 5*x
So, if x = 19 we will have:
y = 5*19 = 95
The cost for 19 guests is $95.
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true or false: if you are given a graph with two shiftable lines, the correct answer will always require you to move both lines.
False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.
In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.
When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.
In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.
However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.
Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.
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A rectangle has a width of 2.5 inches and a length of x inches. The value of the perimeter of the rectangle is equal to the value of the area of the rectangle. Graph a system of linear equations to find x .
Answer:
Step-by-step explanation:
W=2.5, L=x
A=LW=2.5x
P=2(L+W)=2(2.5+x)=5+2x
P=A
5+2x=2.5x
5-0.5x=0
-0.5x=-5
x=10
Plz help fast will mark brainliest!!!
I think it is 457.333333 π m3
Hope this helped :T
Answer:
1436.76
Step-by-step explanation.
\(\frac{4}{3}\pi r^{3}\)
that is the formula, with r being the radius.
then if you replace r with 7 that would be the answer.
pi, also equals 3.14159265359, or shortened 3.14.
so it would look like:
\(\frac{4}{3}*3.14*7^{3}\)
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate for the data below. Types of movies (drama comma comedy comma adventure comma documentary comma etc. )Types of movies (drama, comedy, adventure, documentary, etc.) Choose the correct answer below. A. The intervalinterval level of measurement is most appropriate because the data can becan be ordered comma differences (obtained by subtraction )can be found and are meaningful comma andordered, differences (obtained by subtraction) can be found and are meaningful, and there is no natural starting point.there is no natural starting point. B. The nominalnominal level of measurement is most appropriate because the data cannotcannot bebe ordered.ordered. nothing nothing nothing nothing nothing nothing nothing nothing nothing nothing C. The ordinalordinal level of measurement is most appropriate because the data can becan be ordered comma but differences (obtained by subtraction )cannot be found or areordered, but differences (obtained by subtraction) cannot be found or are meaningless.meaningless. D. The ratioratio level of measurement is most appropriate because the dat
Complete Question:
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. Types of movies (drama, comedy, adventure, documentary, etc.).
Choose the correct answer below.
A. The nominal level of measurement is most appropriate because data cannot be arranged in an ordering scheme.
B. The ratio level of measurement is most appropriate because ratio are meaningful, and is also a natural zero.
C. The ordinary level of measurement is most appropriate because categories are ordered, but difference cannot be found or are meaningless.
D. The interval level of measurement is most appropriate because differences are meaningful, but there is no natural zero.
Answer:
A. The nominal level of measurement is most appropriate because data cannot be arranged in an ordering scheme.
Step-by-step explanation:
A level of measurement can be defined as a classification which is used to illustrate the attributes of the values assigned to variables. There are four (4) basic levels of measurement for a variable and these are;
1. Interval: data can be arranged in an ordering scheme and subtracting its differences is meaningful. Examples are year, temperature, time etc.
2. Ratio: data can be arranged in an ordering scheme and subtracting its differences is meaningful with respect to the value of true zero. Examples are height, price, weight, distance etc.
3. Ordinal: data can be arranged in an ordering scheme but subtracting its differences is meaningless or impossible. Examples are happy, sad etc.
4. Nominal: is characterized by data that are non-numerical, comprises of categories, labels or names and can't be arranged in an ordering scheme.
Hence, the nominal level of measurement is the most appropriate for types of movies (drama, comedy, adventure, documentary, etc.) because data cannot be arranged in an ordering scheme. A nominal level of measurement consists of quantitative variables.
3x - y = 17
4x + y = -3
Answer:
x = 7, y = 4
Step-by-step explanation:
simultaneous equation:
3x-y=17
4x+y=-3
Solving for x: add the two equations together to cancel out y (-y + y = 0)7x = 14divide both sides by 7 to get the value of 1 xx = 7solving for y: substitue the value of x (7) into any equation (we'll use the top one for ease)3(7) - y = 17so in other words; 21 - y = 17subtract 21 from both sides to get the value of -y-y = -4therefore, y = 4Rosie needs to solve the systems of equations below. She is deciding
between the substitution and elimination method. Which method would
be best to solve with?
Answer:
Elimination method
Step-by-step explanation:
Both x values have a coefficient with the exact value of three. This would make it easy to eliminate to solve for y.
Which expression is equivalent to 22 - 3
what are the options?
the equivalent expression is 19
Suppose you have a five dollar off coupon at a fabric store you buy a fabric that cost $10 per yard
1.)right in equation that models the total number of money, y, that you can buy x yards of fabric
2.) if you bought 9 yards of fabric how much will you pay
3.) if you paid $47.50 how many yards of fabric did you purchase
1.) 10x-5=y
2.) $85
3.) 5.25 yards of fabric.
Step-by-step explanation:1.) To write an equation for this problem, we need to figure out what every value means:
the variable x, represents the amount of yards of fabric you can buy
the variable y, represents the total amount of money after you found out (x) or the amount of yards of fabric.
1 yard of fabric equals $10, and we have a $5 coupon (-5)
Our equation is:
10x-5=y
This equation represents the relationship between the total cost of fabric, and the amount that you can buy.
2. In order to solve this problem we need to use our equation, one value is given which is 9.
9 represents x, the amount of yards of fabric.
Substitute 9 into x:
10(9)-5=y
Solve:90-5=y
85=y
85 represents the cost of 9 yards of fabric, including the $5 coupon.
3.) This problem is similar to #2, although it's flipped.
The value given is $47.50, which represents (y), the total amount of money after (x) was found out.
But, we need to figure out (x).
Substitute $47.50 into (y):
10(x)-5=$47.50
Next, we need to figure out x by solving the opposite.
Adding the coupon to our answer can represent 10(x).
$47.50+5=52.50
10(x)=52.50
Lastly, divide both sides of the equation by 10.
10(x) / 10=52.50 /10
x=5.25
5.25 represents the amount of yards of fabric purchased if you paid $47.50.
7,5 move 4 units left and 1 unit down
Answer:
(3,4)
Step-by-step explanation:
Answer:
4,3
Step-by-step explanation:
If f(x)= 3x - 8 and g(x)=2x², match the corresponding compostion of function with the correct answer.
Alg 2
Answer:
First one is 142
Secound is 8
Third is 88
Fourth is 242
the sql aggregate function that gives the arithmetic mean for a specific column is _____.
The SQL aggregate function that gives the arithmetic mean for a specific column is `AVG()`.
SQL (Structured Query Language) aggregate functions are functions that operate on a set of values and return a single value as a result. These functions are used in SQL queries to perform calculations on groups of rows in a database table.
There are several common aggregate functions in SQL, including:
1. `COUNT()` - returns the number of rows in a table or the number of non-null values in a specific column.
2. `SUM()` - calculates the sum of values in a specified column.
3. `AVG()` - calculates the average value of values in a specified column.
4. `MAX()` - returns the maximum value in a specified column.
5. `MIN()` - returns the minimum value in a specified column.
Aggregate functions are typically used with the `GROUP BY` clause in SQL queries to group the data based on one or more columns and then apply the aggregate function to each group.
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The SQL aggregate function for calculating the arithmetic mean of a specific column is AVG.
Explanation:The SQL aggregate function that gives the arithmetic mean for a specific column is AVG.
For example, if you have a table called 'students' with a column called 'grades', you can use the AVG function in SQL to calculate the average grade:
SELECT AVG(grades) FROM students;
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Maria has a paper route with 100 customers. She delivers a paper to each customer once a
week. Each week she is paid $25.00 plus an additional $0.05 for each paper she delivers.
Maria wants to buy a phone that costs $230.00, including taxes. How many weeks will it
take Maria to earn enough money to buy the phone?
Answer: 9
Step-by-step explanation:
25x9 = 250+ tax
Evaluate
2a + 16
3b
when a = 3 and b = -2
Answer:
2a + 16
2(3) + 16
6 + 16 = 22
3b
3(-2) = -6
Step-by-step explanation:
Substitue the appropriate values into the expressions.
what is the slope of the line through 0,4 and 3,-2
Answer: -2
Step-by-step explanation: slope is difference in y values over difference in x values
What is a) 5/9 x 8/11 b) 4/5x 7/12
Answer:
A) 40/99 or 0.40404
B) 7/15 or 0.466667
Step-by-step explanation:
HELP PLEASE!!!! Posting a lot of these for a lot of points!
Answer:
Step-by-step explanation:
Area of figure I = length *width
= 4 * 5
= 20 m²
Figure II is a trapzium.
a and b are the parallel sides. a = 21 m
b = 20 - 5 = 15 m
h = 3 + 4 = 7 m
\(\text{area of figure 2 = $\dfrac{(a + b)*h}{2}$}\)
\(=\dfrac{(21+15)*7}{2}\\\\\\=\dfrac{36*7}{2}\\\\\\= 18*7\\\\= 126 \ m^{2}\)
Area of the figure = 20 + 126
= 146 m²
Answer:
146 m²
Step-by-step explanation:
Formulae
Area of a rectangle = width x length
Area of a triangle = 1/2 x base x height
Divide the figure into 2 rectangles and a triangle (see attachment).
Area of Rectangle 1 = 4 x 5 = 20 m²
Area of Rectangle 2 = (3 + 4) x (20 - 5) = 105 m²
Area of triangle 3 = 1/2 x (21 + 5 - 20) x (3 + 4) = 21 m²
Total area = 20 + 105 + 21 = 146 m²
Hunter has a collection of 140 coins. How many coins represent 5% of his collection? Divide/scale down to solve for the missing percent.
Answer:
5% of his coins is 7
Step-by-step explanation:
140 X 0.05 = 7
a researcher wishes to study railroad accidents. he wishes to select 3 railroads from 10 class i railroads, 2 railroads from 6 class ii railroads, and 1 railroad from 5 class iii railroads. how many different possibilities are there for his study?
There are, 6300 different possibilities for the researcher’s study.
How do we calculate the different possibilities?Total number of class I railroads = 10Number of class I railroads selected = 3Total number of class II railroads = 6Number of class II railroads selected = 2Total number of class III railroads = 5Number of class III railroads selected = 1Number of different possibilities for selecting 3 class I railroads from 10 class I railroads = 10C3 = (10 x 9 x 8)/(3 x 2 x 1) = 120
Number of different possibilities for selecting 2 class II railroads from 6 class II railroads = 6C2 = (6 x 5)/(2 x 1) = 15Number of different possibilities for selecting 1 class III railroad from 5 class III railroads = 5C1 = 5Total number of different possibilities for selecting 3 class I railroads from 10 class I railroads, 2 class II railroads from 6 class II railroads, and 1 class III railroad from 5 class III railroads = 10C3 x 6C2 x 5C1= 120 x 15 x 5= 6300Therefore, there are 6300 different possibilities for the researcher’s study.
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help me plssssssssssssssssssssssssssssssssssssssssss
and please give explanation
[1] H 2.4
Let us turn the pictures into equations, using the key given. Then, we will solve.
x + x + \(\frac{1}{4}\)x + 1 + 1 + 1 = x + x + x + \(\frac{1}{2}\)x
2x + \(\frac{1}{4}\)x + 3 = 3x + \(\frac{1}{2}\)x
\(\frac{9}{4}\)x + 3 = \(\frac{7}{2}\)x
3 = \(\frac{5}{4}\)x
x = 2.4
[2] J
We can tell the first two options are incorrect because there was a change in size, not position.
Option H would make the shape bigger, but it becomes larger. This means the answer is option J.
What is the difference between 30% interest charged for a payday loan and a 30% APR on a credit card?
The main difference is interest charged for a payday loan is typically over a short period, whereas credit card represents the annualized interest rate over a year.
The payday loan interest is a one-time charge, while the credit card APR accumulates over time if the balance is not paid in full.
For a payday loan, the 30% interest is typically charged over a short period, often within a few weeks.
This means that if you borrow $100, you would need to repay $130, including the $30 interest, within that short timeframe.
On the other hand, a 30% APR on a credit card represents the annualized interest rate charged on the outstanding balance. This interest is spread out over a year.
If you have an outstanding balance of $100 on a credit card with a 30% APR, the interest charged over a year would be $30.
In summary, the main difference is that the 30% interest charged for a payday loan is typically applied over a short period, whereas the 30% APR on a credit card represents the annualized interest rate over a year.
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The domain for f(x) and g(x) is the set of all real numbers.
Let f(x) = 3x + 5 and g(x) = x2.
Find (f - g)(x).
A. x2 – 3x - 5
B. -X2 + 3x + 5
C. –3x² – 5x2
D. 3x3 - 5x2
Answer:
Option B
Step-by-step explanation:
=> \(f(x) = 3x+5\)
=> \(g(x) = x^2\)
Subtracting both
=> \((f-g)(x) = 3x+5-x^2\)
Assembling
=> \((f-g)(x) = -x^2+3x+5\)
f(x)=2x-3 and g(x)=x^2+1, find g(f(x))
Answer:
f(x)=2x-3, substitute the expression for g(x) in f(x)
f(x) = 2(x^2 + 1) - 3
f(x) = 2x^2 + 2 - 3
f(x) = 2x^2 - 1
what value of x will make x^(2)=64 true
Answer:
x=8
Step-by-step explanation:
x^(2)=64
Square root both sides of your equation to isolate your x.
x=\(\sqrt{64}\)
x=8
Hey there!
x^2 = 64
TAKE the SQUARE ROOT OF 64
√64 = 8 or -√64 = 8
Thus, your answer should be: x = 8 or x = -8
Good luck on your assignment & enjoy day!
~Amphitrite1040:)
Let P=f(t)=10e^(0.02t) give the population in millions at time t in years. Find anc interpret f^(-1)(P).
The function f^(-1)(P) allows us to find the time at which the population reaches a certain value, given the growth model provided by f(t).This means that the population will be 20 million in approximately 34.657 years.
We set P equal to f(t):
P = 10e^(0.02t)
ln(P/10) = 0.02t
t = (1/0.02) ln(P/10)
t = 50 ln(P/10)
f^(-1)(P) = 50 ln(P/10).
This function gives us the time (in years) at which the population is equal to P million. So, for example, if we want to know when the population is 20 million, we can plug P = 20 into the formula:
f^(-1)(20) = 50 ln(20/10) = 34.657
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|2x+9|>10=5 Please help ASAP
Simplifying
2x + 9 + -10 = -5
Reorder the terms:
9 + -10 + 2x = -5
Combine like terms: 9 + -10 = -1
-1 + 2x = -5
Solving
-1 + 2x = -5
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + 2x = -5 + 1
Combine like terms: -1 + 1 = 0
0 + 2x = -5 + 1
2x = -5 + 1
Combine like terms: -5 + 1 = -4
2x = -4
Divide each side by '2'.
x = -2
Simplifying
x = -2
I hope it helps you