S = 25x + 250 is the equation models the food truck's average sales in dollars, S, in terms of the price for taco, x.
Define equation.Equation is a declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics. Simple algebraic equations with merely addition or multiplication to differential equations, exponential equations with exponential expressions, and integral equations are examples of different types of equations. They are employed to represent a number of physics laws. also see equation system.
Given
A food truck vendor averages 150 tacos sold when the price per taco is $1.
A study shows that the average number of tacos sold will increase by 25
tacos for every $1 that the price per taco is lowered.
The calculation needed to determine which equation best represents the food truck's average sales in dollars, s, in terms of the price per taco, x, is as follows:
S = 25x + 250
To learn more about equation, visit:
https://brainly.com/question/15091077
#SPJ1
Find the first five terms of the geometric sequence whose constant ratio is -4 and whose first term is 7.
Answer:
7, - 28 , 112 , - 448 , 1792
Step-by-step explanation:
to obtain a term in the sequence multiply the previous term by r , so
a₁ = 7
a₂ = a₁ × - 4 = 7 × - 4 = - 28
a₃ = a₂ × - 4 = - 28 × - 4 = 112
a₄ = a₃ × - 4 = 112 × - 4 = - 448
a₅ = a₄ × - 4 = - 448 × - 4 = 1792
6. Find the area bounded by f(x) and the x-axis on the interval [0,pi]
f(x) = sin x + 1
The area bounded by f(x) =sin x + 1 is 2 + π on the interval [0,pi]
What is a interval?
An interval is measured in terms of numbers. An interval includes all the numbers that come between two particular numbers. This range includes all the real numbers between those two numbersGiven that:
x-axis on the interval [0,pi]
f(x) = sin x + 1
= integral 0 - integral π (sin x) dx + integral 0 - integral π (1) dx
= [- cos π + cos 0] + [π - 0]
= [-(-1) + 1 ] + π
= 2 + π
Therefore, the area bounded by f(x) =sin x + 1 is 2 + π on the interval [0,π]
To learn more about interval check the given link
brainly.com/question/28272404
#SPJ1
12. An antique painting is purchased in 1980 for $995. The value increases by 3.1% every
year. Determine the increase in value of the painting in the 6th year after it was pur-
(3)
chased. You must include an equation with your solution.
An antique painting is purchased in 1980 for $995. The value increases by 3.1% every year, the increase in value of the painting in the 6th year after it was purchased is: $200.02
What is increase in value?Increased Value is the amount obtained after deducting the Base Value from the current assessed value.
Given that,
An antique painting is purchased in 1980 for $995 = P
The value increases by 3.1% every = r
r = 3.1%
r = 3.1/100
r = 0.031
As we know,
Value of painting after t years: [tex]P (1+r)^t[/tex]
So, after 6 years:
f(6) = [tex]995 (1+0.031)^6[/tex]
or, f(6) = [tex]995 (1.031)^6[/tex]
or, f(6) = 1195.0197
or, f(6) = 1195.02
Now, at t = 0, f(0) = 995
Thus, value increased by, f(6) - f(0)
= [1195.02 - 995]
= 200.02
Thus, increase in price since it purchased = $200.02
To know more about value increases refer to:
https://brainly.com/question/9258878
#SPJ1
Will mark 5 stars and give thanks
Answer:
x = 14.56 units
Step-by-step explanation:
In the given figure, two secants of the circle are intersecting outside of the circle.Thus, by the 'Theorem of intersecting secants', we have:[tex]9(9+x)=8(8+19)[/tex][tex]\implies 9(9+x)=8(27)[/tex][tex]\implies 81+9x=216[/tex][tex]\implies 9x=216-81[/tex][tex]\implies 9x=131[/tex][tex]\implies x=\frac{131}{9}[/tex][tex]\implies x=14.55555..[/tex][tex]\implies x\approx14.56\: units [/tex]two sheets of plywood are leaning up against one another, forming a small camping shelter. One sheet of plywood is 7 feet long and makes a 31 degree angle with the ground. The other sheet of plywood is 4 feet long. What is the approximate measure of the angle made between the two pieces of plywood.
The angle made between the two pieces of plywood found using the law of sines is approximately 85°
The law of sines states that the ratio of the sine of an angle to the length of the opposite side is the same for the three angles and sides of the triangle.
[tex]\dfrac{sin(A)}{a} = \dfrac{sin(B)}{b} = \dfrac{sin(C)}{c}[/tex]
The length of one plywood = 7 feet
The angle made by the 7 feet plywood with the ground = 31°
Length of the other sheet of plywood = 4 feet
Using the law of sines, we get;
sin(31)/4 = sin(B)/7
sin(B) = 7 × (sin(31)/4)
∠B = arcsine(7 × (sin(31)/4)) ≈ 64.33°
The angle between the two pieces of wood is therefore;
Angle = 180° - 31° - 64.33° = 85°
The measure of the angle formed between the two plywood is about 85°
Learn more about the law of sines here:
https://brainly.com/question/4372174
#SPJ1
Which fraction has the same value as 55.5¯%?
Answer: 55.5 as a fraction is 111/2.
Answer:
55.5/100 or 111/200 in its simplest form
Step-by-step explanation:
55.5 (per)cent) - means every 100
55.5/100= 111/200
I’m confused on this question
The adjacents angles are ∠ RTL and ∠ ETL, The obtuse vertical angles are ∠ RTL and ∠ STE, the two supplementary angles are ∠ NTE and
∠ NTR and angles supplementary to ∠ RTS is ∠ RTL
What are angles?The two rays intersecting at a common point makes an angle.
Given is a figure,
Adjacent Angels =
The angles having one arm in common are called adjacent angles.
Here, adjacents angles are ∠ RTL and ∠ ETL
Vertical angles =
A pair of angles that have the same vertex and are on opposite sides of two intersecting rays makes Vertical angles
Here, vertical angles are ∠ RTL and ∠ STE
Supplementary angles =
When the sum of two angles is 180°, then they are supplementary angles.
Here, supplementary angles are ∠ NTE and ∠ NTR
We see that, the angle supplement to ∠ RTS is ∠ RTL
Hence, the correct answers are, adjacents angles = ∠ RTL and ∠ ETL, The obtuse vertical angles = ∠ RTL and ∠ STE, the two supplementary angles = ∠ NTE and ∠ NTR and angles supplementary to ∠ RTS is ∠ RTL
For more references on angles, click;
https://brainly.com/question/28451077
#SPJ1
Ayana is making 6 scarves that each require 114 yards of purple fabric and a certain amount of blue fabric. She will use 10 yards in all. Which equation can be used to determine how many yards of blue fabric, b, are needed for each scarf?.
each scarf's 0.4166 yards of blue scarf
What is the basic algebraic formula?
This problem can be solved using a straightforward algebraic equation. For each scarf, Ayana requires many yards of blue cloth.
When solving a straightforward equation, visualize the equals symbol (=) as the fulcrum or center of a balance.
What three sorts of equations are there?The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.
In order to answer this question, let's say that each scarf needs x square inches of purple fabric and y square inches of blue fabric.
A total of six scarves are reportedly required. It is assumed that a total of 10 yards of fabric—the combined amount of the purple and the blue fabrics—will be utilized.
So that we may solve this equation.
We use x and y as 6x and 6y as 6 scarves are needed.
10 yards of cloth were used in total (6x + 6y).
Next up It goes without saying that 1 yard of purple cloth is required for each and every scarf.
Therefore, a total of 6 * 1(1/4) yards is required for 6 scarves.
As a result, 6x becomes 6 * 1/4 yards.
This equates to 6 yards of purple material
We now solve for the required amount of blue cloth.
6y = 10 -30/4 = 40-30/4 = 10/4
However, the yards are for six scarves, therefore we need to divide it by six to obtain the amount of material for one scarf.
Each scarf needs 0.4166 yards of blue fabric, or y = (10/4)/6 =10/4 *1/6 =10/24 = 5/12 yards.
Visit this link for additional information about the word puzzle: brainly.com/question/13818690
#SPJ4
Which is not a valid strategy to use when solving the system of equations? 4x - 3y = 8, 2x + 9y = -3
A. Multiply the first equation by 3.
B. Multiply the second equation by 2.
C. Multiply the first equation by 2 and the second equation by 4.
D. Multiply the first equation by 3 and the second equation by 2
The strategy that does not work to solve the system is the one in option D
"Multiply the first equation by 3 and the second equation by 2"
Which one is not a valid strategy?Here we have the following system of equations:
4x - 3y = 8
2x + 9y = -3
To solve it, we can take a linear combination of the two equations, for example if we do what the first option says and we multiply the first equation by 3 we get:
3*4x - 3*3y = 3*8
12x - 9y = 24
Now we can add this to the other equation to get:
(12x - 9y) + (2x + 9y) = 24 - 3
14x = 21
And the system can be solved.
Now, the option that does not help us to solve the system is the third option:
"Multiply the first equation by 3 and the second equation by 2"
If we do that we will get the equations:
12x - 9y = 24
4x + 18y = -6
If we add these two equations no variable is canceled.
Learn more about systems of equations:
https://brainly.com/question/13729904
#SPJ1
Write an expression equivalent to (2/5)x(2/5)x(2/5)x(2/5) using a positive exponent
Answer:
2/5^4
Step-by-step explanation:
2/5 is being multiplied four times
PLS HELP ME NEOW PLS
The correct order of sentences to bisect the angle Q is (1) draw a line from Q to where the arc crosses (2) vertex: set the compass to any convenient width (3) from where the arc crosses lag, make an arc.. (4) place the compass point on the angle Q.
How to bisect an angle?We should know that an angle is the intersection of two or more straight lines.
In construction of angles, using the compass, the first thing is to locate a point say Q. The open the leg of the compass to a convinient radius, make an arc at another point say P. From the point P, bisect the initial arc so made then joion to the starting point Q.
Second, from the point where the arcs met on the two lines, make another two arcs above the points, then join them to the starting point Q
Learn more about bisection of angles on https://brainly.com/question/29277802
#SPJ1
What color is the condensed water, also called condensation, that collects on the inside of the top cup?
When the coloured water evaporates and condenses on the inside of the top cup, there is no colour in the water on the inside surface of the cup.
As water molecules in the air cool, they slow down and combine into tiny droplets of liquid water. This process is called condensation. This happens when water molecules in the air touch the outside of a cold mug exposed to air.
Water vapour in the air is extracted by several techniques, such as cooling the air below the dew point, exposing the air to a desiccant, using membranes that allow only water vapour to pass, collecting the mist, or pressurizing the air. I can do it.
Common examples are water forming on the outside of a cold mug, or moisture forming on a car window on a cool night.
Learn more about Condensed water at :
https://brainly.com/question/29224522
what is the volume of a solid with a radius of 12 and a height of 24
The volume of a solid of cylinder with a radius of 12 and a height of 24 is
3456[tex]\pi[/tex].
What is volume?Space occupied by an object in three dimensional space is called as volume of an object. In simple words space is taken by object.
Given that the cylinder with a radius of 12 and a height of 24.
Volume of a cylinder = [tex]\pi[/tex] r² h
Volume of a cylinder = [tex]\pi[/tex] (12)² × 24
Volume of a cylinder = [tex]\pi[/tex] ( 144 × 24)
Volume of a cylinder = [tex]\pi[/tex] (3456)
Therefore, the volume of cylinder is 3456[tex]\pi[/tex].
To learn more about the volume;
https://brainly.com/question/1578538
#SPJ1
What is the slope of the line that passes through the points (-1, -7)and (1, -13)? Write your answer in simplest form.
Answer:
m=-3
Step-by-step explanation:
use slope formula to solve
m=rise/over=y2-y1/x2-x1
Find the slope of each line.
66) pls answer
Answer: The slope is 5/6
Answer:
5/6
Step-by-step explanation:
You are starting a new job and are told that your pay will be $3 on the first day. Each day after that, your pay will double until you reach the amount of $96. Starting from the first day, on what day will you reach $96?
6th day
8th day
4th day
10th day
Answer:
A=3, b=2, t=0 to t=5, covering 6 days. $3, $6, $12, $24, $48, $96.
Step-by-step explanation:
A is the starting amount at t=0. b is the base, two because the amount doubles each day. b would be 3 if it tripled every day. t is the final day number, counting from zero.
The equation c = 10.50p represents the proportional relationship between the total cost (c) and the number of pounds (p) of shrimp at a grocery store.
Which description is true, based on the equation of the proportional relationship?
A) For $0.50, you can buy 1 pound of shrimp.
B) For $1, you can buy 10.50 pounds of shrimp.
C) For $10.50, you can buy 10.50 pounds of shrimp.
D) For $10.50, you can buy 1 pound of shrimp.
The equation of the proportional relationship is For $10.50, you can buy 1 pound of shrimp.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
c = 10.50p
where total cost (c) and the number of pounds (p) of shrimp at a grocery store.
When p= 1 pounds then the cost is
c= 10.5
Hence, For $10.50, you can buy 1 pound of shrimp.
Learn more about equation here:
https://brainly.com/question/29657983
#SPJ1
Hi, the answer would be D...
For $10.50, you can buy 1 pound of shrimp.
have a nice day! :)
2x-6y=-18 please help me its due today
Answer:
Assuming you want to convert this to slope-intercept form.
Step-by-step explanation:
y=1/3x+3
Subtract 2x from both sides, then divide both sides by negative 6
if you want to graph it, this is what your graph should look like
** See attached photo**
Decide whether the equation has no solution, one solution, or infinitely many
solutions. Put an X in the appropriate box in the table.
Infinitely
has one real eigenvalue. find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace.
one real eigenvalue. find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace.
What is eigenvalue?
In linear algebra, an eigenvector or characteristic vector of a linear transformation is a nonzero vector that, when the linear transformation is applied to it, changes at most by a scalar factor. The factor by which the eigenvector is scaled is known as the associated eigenvalue, frequently denoted by lambda.
a) -4
b) 1
c) 1
Step-by-step explanation:
a) The matrix A is given by:
[tex]A=\left[\begin{array}{ccc}-3 & 0 & 1 \\2 & -4 & 2 \\-3 & -2 & 1\end{array}\right]\\[/tex]
where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:
[tex]A-\lambda I=\left[\begin{array}{ccc}-3-\lambda & 0 & 1 \\2 & -4-\lambda & 2 \\-3 & -2 & 1-\lambda\end{array}\right][/tex]
and by taking the determinant:[tex]\begin{aligned}& {[(-3-\lambda)(-4-\lambda)(1-\lambda)+(0)(2)(-3)+(2)(-2)(1)]-[(1)(-4-\lambda)(-3)+(0)(2)(1-} \\& \lambda)+(2)(-2)(-3-\lambda)]=0 \\& -\lambda^3-6 \lambda^2-12 \lambda-16=0\end{aligned}[/tex]
and the roots of this polynomial is:
[tex]\begin{aligned}& \lambda_1=-4 \\& \lambda_2=-1+i \sqrt{3} \\& \lambda_3=-1-i \sqrt{3}\end{aligned}[/tex]
hence, the real eigenvalue of the matrix A is -4.
b) The multiplicity of the eigenvalue is 1.
c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)
To learn more about eigenvalue visit
https://brainly.com/question/29579848
#SPJ4
Complete Quetion
The matrix A= (−3 0 1, 2 −4 2, −3 −2 1) has one real eigenvalue. Find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace. The eigen value = has multiplicity = and the dimension of the corresponding eigenspace is:_______.
three sides of a triangle are 3, radical7, and 4. Is the triangle acute, right or obtuse?
Answer: To determine whether a triangle is acute, right, or obtuse, we need to compare the lengths of its sides to the measure of its angles. The triangle is acute if all three angles measure less than 90 degrees, it is right if one angle measures exactly 90 degrees, and it is obtuse if one angle measures more than 90 degrees.
In the case of a triangle with sides 3, radical7, and 4, we can use the Pythagorean theorem to find the measure of its angles. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Since we know that one side of the triangle has length 4, and another side has length radical7, we can use the theorem to find the length of the third side, which is the hypotenuse. We can write this as an equation: 4^2 + radical7^2 = x^2, where x is the length of the hypotenuse. Solving for x, we get x = 5.
Since the length of the hypotenuse is 5, and one of the other sides has length 4, we can conclude that this triangle is a right triangle. Therefore, the triangle is a right triangle and not acute or obtuse.
help me with this math question
Answer:
c
Step-by-step explanation:
A point at (−3,−2) is transformed in two steps.
It is reflected about y = x.
It is translated 3 units right and 2 units up.
What is the location of the transformed point?
The location of the transformed point will be at the coordinate (0,4).
What is translation?In mathematics, a translation moves a shape left, right, up, or down but does not turn it. The translated (or picture) shapes appear to be the same size as the original shape, showing that they are congruent. They've just moved in one or more directions.
Given that a point at (−3,−2) is transformed in two steps. It is reflected in y = x. It is translated as 3 units right and 2 units up.
The translated point will be,
(−3,−2) ⇒ (-3,2)
Translation of the point,
(-3,2) ⇒ (-3+3, 2+2) ⇒(0,4)
Therefore, the location of the transformed point will be at the coordinate (0,4).
To know more about translation follow
https://brainly.com/question/12861087
#SPJ1
Here is a shaded parallelogram inside a rectangle.
2x
5
12
W
The area of the parallelogram is (10x +50) cm².
Work out the length of the base of the parallelogram.
Answer:
8
Step-by-step explanation:
HELP ASAP PLEASE I NEED THIS QUICK
40 POINTS
Answer: 4/25
Step-by-step explanation:
(2/5)^2 or can write as 2/5 times 2/5
2/5 times 2/5 = 4/25
Answer:
0.08
Step-by-step explanation:
2/5 = 0.4 x 0.4
To make 5 batches , jude need to use blank packages of pre mixed mortar
Answer:
the answer to your question is 20
Step-by-step explanation:
5 batches× 4 quarts
Please Hurry
Complete the algebraic proof by identifying the reason for each statement.
In mathematics is an expression which is made up of variables and constants, along with algebraic operations
What is algebra explain with example?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions. In algebra, we use numbers like 2, −7, 0.068 etc., which have a definite or fixed value. In algebra we use variables like x, y, and z along with numbers.An algebraic equation is a mathematical sentence, when two algebraic expressions are related with an equality sign (=). For example, 3x+6 = 1 is an algebraic equation.Algebra is divided into different sub-branches such as elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra.There are many laws which govern the order in which you perform operations in arithmetic and in algebra. The three most widely discussed are the Commutative, Associative, and Distributive Laws.Commutative Rule of Addition.Commutative Rule of Multiplication.Associative Rule of Addition.Associative Rule of Multiplication.Distributive Rule of Multiplication.x = 1
3(5x+1) = 13x + 5
3(5x) + 3(1)
15x + 3 = 13x + 5
-13x -13x
2x + 3 = 5
__-3__-3____
2x = 2
To learn more about algebraic refer to:
https://brainly.com/question/4541471
#SPJ1
divide 4x^3 -x^2 +x - 5 by x^2 +x -1
Answer: 4x^3+1
Step-by-step explanation:
A cyclist travels 24 km from home to the park.
She leaves home at 13:05 and arrives at the park at 13:50.
What is her average speed in km/h?
Graph triangle lmn with vertices l(1,6), m(-2,4), and n (3,2) and its
image after the composition.
Rotation: 90 about the origin
Translation: (x,y) (x-3,y+2)
The final image of triangle LMN is triangle L''M''N'' with vertices L''(-3,-5), M''(1,-4), and N''(-1,-1).
What is Translation of graph?
A graph can be horizontally translated by moving the base graph to the left or right in relation to the x-axis. Each point on a graph is moved by k units in order to translate it horizontally.
To graph triangle LMN and its image after the composition of a 90 degree rotation about the origin and a translation of (x, y) (x-3, y+2), we can first plot the vertices of triangle LMN on the coordinate plane.
pair L = (1,6);
pair M = (-2,4);
pair N = (3,2);
Next, we can apply the 90 degree rotation about the origin to the vertices of the triangle. The rotation matrix for a 90 degree rotation about the origin is given by:
[cos(90) -sin(90)][x] [y]
[sin(90) cos(90)][y] = [-x]
Substituting the coordinates of the vertices into the rotation matrix, we get:
[cos(90) -sin(90)][1] [6]
[sin(90) cos(90)][-2] = [4]
[3] [2]
Therefore, the image of triangle LMN after the rotation is triangle L'M'N' with vertices L'(-6,1), M'(4,-2), and N'(-2,3).
Finally, we can apply the translation of (x, y) (x-3, y+2) to the vertices of the rotated triangle to get the final image of triangle LMN. The translation matrix is given by:
[tex][1 \ 0][x] [y][-3 \ 2][y] = [x-3][/tex]
Substituting the coordinates of the rotated vertices into the translation matrix, we get:
[1 0][-6] [1]
[-3 2][4] = [-1]
[-2] [3]
Therefore, The final image of triangle LMN is triangle L''M''N'' with vertices L''(-3,-5), M''(1,-4), and N''(-1,-1).
To know more about Translation of graph visit,
https://brainly.com/question/26238840
#SPJ1