The equation x = 77 can be found on the line perpendicular to the y-axis that passes through the coordinates (77,88).
Write the equation of a line ?The equation of the line passing through the point (2,4) and perpendicular to the line y= 1/3 x+6 is y = 3x - 2.The slope of the line connecting the coordinates (1, 4), (1, 3) is not known.
The graph is shown below, and the line's equation is x = -1.The equation of a line in slope-intercept form is:y = mx + cwhere the slope is m
C is the y-intercept.For the line that passes through the point and is perpendicular to the y-axis (77, 88)The slope is infinite and the equation is of the form x = k because the line is parallel to the y-axis.
Line that is perpendicular to the line has the equation y= 1/3 x+6 through the location (2,4). Line perpendicular to y= 1/3 x+6 has a slope of m = 3.
y - y1 = m is the equation of a line in point-slope form (x- x1)
y= -4 = 3(x-2) (x-2)
y= 3x - 6 +4\sy= 3x -2
Calculate m= -3 -4 /-1- to determine the slope of the line going through the points (1, 4), (1, 3). (1)
M is endless.Undefined is the slope of the line.x = -1 is the line's equation.As a result, x = 77 is the equation of the line parallel to the y-axis passing through the coordinates (77,88).
To learn more about equation of the line refer
https://brainly.com/question/11483751
#SPJ1
the set of all solutions of a system of m homogeneous equations in n unknowns is a subspace of rn.
Yes, the set of all solutions of a system of m homogeneous equations in n unknowns is a subspace of [tex]$\mathbb{R}^n$.[/tex]
A subspace is a set of vectors that is closed under linear combinations. This means that if two vectors in the set are added together, the result is also in the set. A system of m homogeneous equations in n unknowns can be represented as a system of linear equations. The solution set of the system is the set of all vectors that satisfy the linear equations. Since the solution set is closed under addition, it is a subspace of [tex]$\mathbb{R}^n$[/tex]Furthermore, any linear combination of two solutions of the system is also a solution of the system, which further confirms that the solution set is a subspace of [tex]$\mathbb{R}^n$[/tex]
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
the critical difference between statistical and nonstatistical sampling is: question 4 options: the required use of judgment in nonstatistical sampling.
statistics is the calculation or manipulation of data or any other things where the operation of addition division multiplication substraction will be held but not any other logic related to non tangible
non statistical sampling is where calculation or any other means of addition substraction is not done but the judgement is done on the basis of examiners mind but not on the basis of any calculation .
we can use statistic in every day life also in every field because if we do any calculation then it is a part of mathematical statistic
learn more about of statistic here
https://brainly.com/question/6916556
#SPJ4
Vani goes out to lunch. The bill, before tax and tip, was $17. 35. A sales tax of 7% was added on. Vani tipped 18% on the amount after the sales tax was added. How much was the sales tax? round to the nearest cent.
The value of the sales tax will be 1.21. Sales tax is a fee that is charged in addition to the cost of products and services. We have to use basic percentage mathematics concepts.
Let's first try to understand what is sales tax.
The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government. A company is liable for sales taxes in a particular jurisdiction if it has a nexus there, which, depending on the local rules, can be a physical location, an employee, an affiliate, or some other presence.
Sales taxes typically take a portion of the cost of the items sold. For instance, a city's residents might pay a total of 7.5% in sales taxes if the state levies a 4% rate, the county 2%, and the city 1.5%. However, frequently certain things—like food—are exempt or are exempt if they fall below a specific amount, such as apparel purchases under $200. Additionally, many products are subject to additional taxes known as excise taxes. A type of excise tax known as a "sin tax" is the $1.50 municipal excise tax that New York City imposes per pack of 20 cigarettes in addition to the $4.35 state excise tax.
In this Question, The bill before tax and tip was $17.35.
Sales tax of 7% added.
7% of $17.35 = 7 * 17.35/100 = 1.2145
The nearest cent value will be 1.21.
To know more about sales tax here:
https://brainly.com/question/29442509
#SPJ4
The sales tax was $1.22 and the total amount of the bill including the tip was $18.57.
The total cost of the meal before tax and tip was $17.35. The sales tax rate for the area was 7%. To calculate the sales tax, we must first determine the pre-tax cost of the meal multiplied by the tax rate.
Formula:
Sales Tax = Pre-tax cost × Tax Rate
Calculation:
Sales Tax = $17.35 × 0.07
Sales Tax = $1.22
This means that the sales tax amount was $1.22. Vani tipped 18% on the amount after the sales tax was added. To calculate the total amount of the bill after tip, we must first add the sales tax to the pre-tax cost of the meal.
Formula:
Total Cost = Pre-tax cost + Sales Tax
Calculation:
Total Cost = $17.35 + $1.22
Total Cost = $18.57
We can then calculate the tip amount by multiplying the total cost of the meal by the tip rate.
Formula:
Tip = Total Cost × Tip Rate
Calculation:
Tip = $18.57 × 0.18
Tip = $3.35
Therefore, the sales tax was $1.22 and the total amount of the bill including the tip was $18.57.
Learn more about Total amount here:
https://brainly.com/question/29066172
#SPJ4
what is 6,389 divided by 27
Answer:247.74
Step-by-step explanation:
use a calculator
What is the equation of a line that is parallel to y=4/5x+2 and passes through the point (5,7)?
Answer:
y = 4/5x + 3
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope slopes.
The first line is y = 4/5x + 2. Its slope is 4/5. A line parallel to this one will also have a slope of 4/5.
Plug this value (4/5) into your standard point-slope equation of y = mx + b.
y = 4/5x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (5, 7). Plug in the x and y values into the x and y of the standard equation.
7 = 4/5(5) + b
To find b, multiply the slope and the input of x (5)
7 = 4 + b
Now, subtract 4 from both sides to isolate b.
3 = b
Plug this into your standard equation.
y = 4/5x + 3
This equation is parallel to your given equation (y = 4/5x + 2) and contains point (5, 7).
Learn with another example:
https://brainly.com/question/24159677
Are the following two functions inverses of one another? Use function composition to explain your answer.
Answer:
[tex]f(g(x)) = g(f(x)) =x[/tex]
So [tex]f(x)[/tex] and [tex]g(x)[/tex] are inverses of one other
Step-by-step explanation:
If two functions [tex]f(x)[/tex] and [tex]g(x)[/tex] are inverses of each other, their compositions will equal [tex]x[/tex]
Composition [tex]f(g(x))[/tex]Thus proved
Can you find angles with SSS?
Answer:
Yes
Step-by-step explanation:
You can find angles with the Side-Side-Side (SSS) theorem. The SSS theorem states that if three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent and their corresponding angles are also equal. Hope this helps!
road to white house assignment math HELPP
Answer:
1064
Step-by-step explanation:
You want the product g(3)·g(4), given that g(x) = x³ -8.
EvaluationFor each function value, put the number where the variable is and do the arithmetic.
g(3)·g(4) = (3³ -8)(4³ -8) = (27 -8)(64 -8) = 19·56
g(3)·g(4) = 1064
The expression 62.4d-210 gives the number of Indian rupees you receive when you exchange \$d$ddollar sign, d at the local currency exchange.
The amount of Indian rupees that I would be able to receive when $13 is exchanged would be = 601.2 Indian rupees.
What is local currency exchange?Local currency exchange is defined as the exchange of a money currency from its local form to another form which depends of its current exchange rate.
From the expression given;
62.4d -210
Where d = $13
= (62.4× 13 )-210
= 811.2- 210
= 601.2
Learn more about addition here:
https://brainly.com/question/25421984
#SPJ1
Between the theoretical probability that you will draw a blue tile and the experimental probability that you will draw a blue tile, which is greater, and how much greater is it? express all probabilities as percentages to two decimal places, and express differences by number of percentage points (for example, 12% is 2 percentage points greater than 10%). a. the experimental probability is 6.67 percentage points greater than the theoretical probability. b. the experimental probability is 2.00 percentage points greater than the theoretical probability. c. the theoretical probability is 1.73 percentage points greater than the experimental probability. d. the theoretical probability is 0.77 percentage points greater than the experimental probability.
The difference between the two probabilities is about 4.06 percentage points, so the answer is (c).
To compare the theoretical probability and the experimental probability of drawing a blue tile, we need to calculate both probabilities.
First, let's calculate the theoretical probability. There are a total of 36 tiles in the bag, and 10 of them are blue, so the theoretical probability of drawing a blue tile is 10/36, or about 27.78%.
Now let's calculate the experimental probability. In the five trials, you drew a total of 236 tiles, and a total of 75 blue tiles. So the experimental probability of drawing a blue tile is 75/236, or about 31.86%.
Comparing the theoretical probability and the experimental probability, we can see that the experimental probability is greater than the theoretical probability. The difference between the two probabilities is about 4.06 percentage points, so the answer is (c).
To learn more about the probability, visit:
brainly.com/question/30034780
#SPJ4.
Which one of the following statements is false?
O lf q p is true, then p is a necessary and sufficient condition in order that q holds.
O If p is Ifpq is true, then P is a sufficient condition in order that q holds.
O lf p q is true, then p true, then q is a necessary condition in order thatp holds.
O is a necessary condition in order that g holds.
The statement that is false is: " lf p q is true, then p is a necessary condition in order that q holds."
In a logical statement "p implies q" (p->q), if p is true, then q must be true as well. However, this doesn't mean that p is necessary for q to hold. A necessary condition means that p is required for q to be true, but it's not sufficient, it may be other conditions that are also needed. In this statement, p is a sufficient condition for q to hold, but it's not necessary. This statement is a logical converse of the second statement "If p q is true, then p is a sufficient condition in order that q holds."
To know more about logical statement click below:
https://brainly.com/question/1807373#
#SPJ4
George spends five-eighths of his salary on food,one- sixth of the remainder on school fees,two-thirdths of what remains on contingencies and saves 6000.Calculate George's monthly salary
Their monthly income of George is 57,600.
What is percent?A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".
Given spends of George from monthly income,
let monthly income be x
spends on food = 5/8 of salary
spends on food = 5x/8
amount left = x - 5x/8 = 3x/8
spends on fees = 1/6 of remainder
spends on fees = 1/6 × 3x/8 = x/16
amount left = 3x/8 - x/16 = 5x/16
spend on contingencies = 2/3 of remainder
spend on contingencies = 2/3 × 5x/16
spend on contingencies = 5x/24
amount left = 5x/16 - 5x/24 = 5x/48
amount left = 6000 = 5x/48
x = (6000×48)/5
x = 57,600.
Hence monthly income is 57,600.
Learn more about percent;
https://brainly.com/question/28840349
#SPJ1
George's monthly salary is 57600
What are fractions?A fraction represents a numerical value, which defines the parts of a whole. the fraction can be a portion of any quantity out of the whole thing and the whole can be any specific things or value.
The basics of fractions explain the top and bottom numbers of a fraction. The top number represents the number of selected or shaded parts of a whole whereas the bottom number represents the total number of parts.
Let monthly salary of George be x.
Given, Money spend on food = 5/8th of salary = 5/8x
Remaining salary = x - 5x/8 = 3x/8
Amount on school fees = 3x/8 × 1/6 = x/16
Remaining amount = 3x/8 - x/16 = 5x/16
Amount on contingencies = 5x/16 × 2/3 = 5x/24
According to the question
5x/8 + x/16 + 5x/24 + 6000 = x
(30x + 3x + 10x) /48 +6000 = x
43x /48 + 6000 = x
x-43x/48 = 6000
48x - 43x = 6000 × 48
5x = 288000
x = 57600
George monthly salary = 57600
Hence, George get a monthly salary of 57600
Learn more about fractions here:
https://brainly.com/question/10354322
#SPJ1
The sides of parallelogram $MNPQ$ are represented by the expressions below. Find the perimeter of $MNPQ$ . $MQ=-2x+37$ $NP=x-5$ $QP=y+14$ $MN=4y+5$. Whar is the perimeter is units?
Answer: P=52
Step-by-step explanation:
sorry if wrong
Answer:p=52
Step-by-step explanation:
Please help!! 3 questions! 1.The Underground Railroad Museum prints out 845 brochures each day. How many brochures are printed in 18 days? 2.
Estimate the product of 7,298 x 67 by rounding to the nearest thousand and ten. 3.A
bookshelf at the Hemingway House can hold 164 books. If each bookshelf held the
same number of books, how many books could 9 bookshelves hold? Please help!!
NEED HELP ASAP - Algebra 2
Create four (4) rational expressions that have a numerator between 5 and 10, and a denominator between 3 and 8. Then convert your rational expression to a radical expression.
The rational expressions include the following two (x²+6)/x²-4, 6/x²-7
What is a rational number?You should understand that a rational expression is nothing more than a fraction in which the numerator and/or the denominator are polynomials.
Rational fractions can be reduced to their lowest terms
Examples rations expressions include
(6p+9)/5p(7n-9)(p+5)
(x+6)/(x+4)(3p²+7p-5)/5p²+4p)Radical expression which is used to indicate a root is called a radical and is therefore read "x radical n," or "the nth root of x." In the radical symbol, the horizontal line is called the vinculum, the quantity under the vinculum is called the radicand, and the quantity n written to the left is called the index.
Example 1) (6p+9)/5p = √(6p+9)/√(5p) (2) (7n-9)(p+5) = √(7n-9)(p+5)
Learn more about rational expression on https://brainly.com/question/19585906
#SPJ1
The number of weeds in my yard doubles every 3 weeks. If I initially have 80 weeds in my yard, what unit is most appropriate for the time at which the number of weeds is 120? (circle one) How do you know?
Week, Month, Weeds per week, Weeds per month
The unit that is most appropriate for the time at which the number of weeks is 120 is given as follows:
Week.
How to define an exponential function?The general format for an exponential function is given as follows:
[tex]y = a(b)^{\frac{x}{n}}[/tex]
The parameters for the exponential function are defined as follows:
a is the initial value of the exponential function.b is the rate of change of the exponential function.n is the time that the exponential function for the rate of change.The number of weeds in my yard doubles every 3 weeks, and the initial number of weeks is of 80, hence the values of the parameters are given as follows:
a = 80, b = 2, n = 3.
As n = 3, we have that the unit of the output variable is of weeks, hence weeks is the appropriate measure in this problem.
More can be learned about an exponential function at https://brainly.com/question/25537936
#SPJ1
Y=4x - 11
Y= -3x + 10
Solve by substitution
By using the substitution approach and resolving the variable x, the equations Y=4x - 11 and Y= -3x + 10 are each solved as x,y = 2,3.
what is equation ?Using the equal symbol (=) to indicate equivalence, a mathematical equation is a formula that joins two statements. An equation in algebra is a statement of mathematics proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for example, the equal sign places the variables 3x + 5 and 14 apart. The relationship between two sentences on either side of a letter is described by a mathematical formula. A single variable, which also serves as the symbol, is frequently present. like in 2x - 4 = 2, for instance.
given
Solve equation [2] for the variable y
y = 6x - 9
variable y ...... equation [1]
4x + (6x-9) = 11
10x = 20
Solve equation [1] for the variable x
10x = 20
x = 2
y = 6x-9
y = 6(2)-9 = 3
By using the substitution approach and resolving the variable x, the equations Y=4x - 11 and Y= -3x + 10 are each solved as x,y = 2,3.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
[tex]\it \begin{cases}\it y=4x-11\\ \\ \it y=-3x+10\end{cases}\ \Rightarrow 4x-11=-3x+10 \Rightarrow 4x+3x=10+11 \Rightarrow 7x=21\Rightarrow \\ \\ \\ \Rightarrow x=3;\ \ \ y=4\cdot3-11=12-11=1\\ \\ S=\{(2,\ \ 1)\}[/tex]
Karla spent 56 minutes this weekend studying for English. She took a 15 minute break, and then studied for her math class. She spent a total of 200 minutes studying this weekend. How long did she study for math?
56 minutes
71 minutes
129 minutes
144 minutes
Answer:
Step-by-step explanation:
200-56=144 minutes
Calculate the compound interest on investing $600 for 3 years at 7% per annum.
Answer:
After investing for 3 years at 7% interest, your $600 investment will have grown to $735.03
Step-by-step explanation:
help pre calc please
The area of the path as a function is A(x) = (4x²+80x) square meters.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Given:
A pool measuring 28 meters by 12 meters is surrounded by a path of uniform width, as shown in the figure.
To express the area of the path, A, in square meters, as a function of its width, x, in meters:
The area of the path
A(x) = (12+2x)(28+2x) - (28 × 12)
A(x) = 4x²+56x+24x+336 - 336
A(x) = (4x²+80x) square meters.
This is a quadratic function.
Therefore, (4x²+80x) square meters are the area of the path.
To learn more about the quadratic function;
https://brainly.com/question/11485644
#SPJ1
Solve the following system of equations by elimination.
3x-2y=1
9x-6y=3
The value of x and y in the equations is 1
What is Simultaneous equation?Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 4x − 4y = 4.
Simultaneous equation can be solved by elimination and substitution method, but we are going to use elimination method here.
3x - 2y = 1 equation 1
9x - 6y = 3 equation 2
making the coefficient of x to be thesame in both equations
27x - 18y = 9 equation 3
27x - 18y = 9 equation 4
equation 3 and 4 are equal, this means that the value of x and y are equal.
Therefore for the equation to be true, x = 1 , y= 1
learn more about Simultaneous equation from
https://brainly.com/question/16863577
#SPJ1
(x, 5) and (9, 8); slope:1/4
[tex](\stackrel{x_1}{x}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{9}-\underset{x_1}{x}}} ~~ = ~~\stackrel{\stackrel{\textit{\small slope}}{\downarrow }}{\cfrac{1}{4}}\implies \cfrac{3}{9-x}=\cfrac{1}{4}\implies 12=9-x \\\\\\ 12+x=9\implies \boxed{x=-3}[/tex]
ASAP I NEED ANSWERS PLEASE
Select the correct answer:
What is the equation of the parabola shown with its focus on this graph
On solving the provided question we can say that - the value of the equation x = y^2 -5 from the graph will be 59.
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
here, the equation from the graphs is
[tex]y^2 = x^8 -7.8x-9,=.43y[/tex]
and y = 8
x = 59
To know more about graphs visit:
brainly.com/question/11950136
#SPJ1
√64-7x = 22
Find what x is
Can anyone answer me please fast
Answer:
a)6.4x 10^-4 (b)1.40068493150 x10^3
Step-by-step explanation:
multiply 0.0064 by 10000 and as it is going from a smaller number to a bigger number it is 10 to the negative power of 4
b)place into a calculator and devide the number untill u get a number between 1 and 9
someone please please help me
Answer:
y = - x + 4
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 )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 6 ) and (x₂, y₂ ) = (4, 0 )
m = [tex]\frac{0-6}{4-(-2)}[/tex] = [tex]\frac{-6}{4+2}[/tex] = [tex]\frac{-6}{6}[/tex] = - 1 , then
y = - x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation.
using (4, 0 ) , that is x = 4, y = 0
0 = - 4 + c ⇒ c = 0 + 4 = 4
y = - x + 4 ← equation of line
Select all equations that depict one of the properties of exponents
The equations that show the properties of the exponenets are a, c and d
What is the properties of the exponents?We know that there are certain properties that are common to the numbers that appear in the exponential form. We shall look at some of those properties.
1) when we have;
(ab)^x, it is the same as a^x b^x
2) When we have b^2 * b^x, it is the same as b^2 + x
3) When we have; x^-2, it is the same as 1/x^2
These are the basics of the properties of the exponents as we can see in the question and these obey the properties of the exponents.
Learn more about exponents:https://brainly.com/question/5497425
#SPJ1
what is 11 3/4 - 4 1/3
Answer:
7 5/12 hope this helps:)
Step-by-step explanation:
(you can use ph0t0math for these types of questions)
A box of chocolates is a prism with a base in the shape of a heart and a height of 2 in the box has 30 pieces of chocolate and then each with volume of one cubic inch if all the chocolates melt into a solid layer across the bottom of the box won't be the height of the layer
Answer:
Step-by-step explanation:
I can calculate the volume of a prism with a complicated base by decomposing the Which of these solids are prisms
Write the liner equation (Picture attached)
The linear equation from the equation given in the picture, would be y = - 0. 2x + 2
How to write a linear equation ?A linear equation is used to determine the direction and values of a line in a chart or graph. It takes the form shown below of :
y = mx + b
y is the dependent variable
m is the slope of the line
x is the independent variable
b is the y - intercept
When given the formula, x + 5y = 10, the linear equation can be found in the steps of :
x + 5y = 10
5y = 10 - x
Divide all sides by 5 to get rid of the 5 next to y:
5y / 5 = 10 / 5 - x / 5
y = 2 - 1 / 5 x
y = - 0. 2x + 2
Find out more on linear equations at https://brainly.com/question/25858757
#SPJ1
