Given equation 3 = 3 is an identity, so it has infinite solutions.
Consider the given mathematical equation 3 = 3
We need to check whether the given mathematical equation has solution or not.
We know that a statement 3 = 3 's true no matter what.
We can observe that for given statement 3 = 3, there's no variable in sight.
This means, 3 = 3 must has infinite solutions.
We know that an equation which is always true, no matter what values we substituted is called as an identity.
This equation is an identity, all real numbers are solutions.
Therefore, the equation 3 = 3 have infinitely many solutions.
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How do you solve 5t 35?
The answer to this question will t = 8. The first step to solving this equation is to combine the like terms by adding the two numbers together.
In this case, 5t + 35 = 40t. The next step is to divide both sides of the equation by the coefficient of the variable, which in this case is 5. When you do this, you get 40t/5 = t. Therefore, the answer to 5t + 35 is t = 8.
A coefficient is an integer that is either multiplied by the variable it is associated with or written alongside the variable. A coefficient is, in other words, the numerical factor of a term that contains both constants and variables. For instance, the coefficient in the expression 2x is 2.
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6x + 2y = 25.92 4x + 3y = 33.93 Solve for x and y
Answer:
y = -3x + 12.96
y = [tex]\frac{-4}{3}[/tex] x + 11.31
Step-by-step explanation:
6x + 2y = 25.92 Subtract 6x from both sides
2y = -6x + 25.92 Divide all the way through by 2
y = -3x + 12.96
4x + 3y = 33.93 Subtract 4x from both sides
3y = -4x + 33.93 Divide all the way through by 3
y = [tex]\frac{-4}{3}[/tex] x + 11.31
Kiran reads 5 pages in 20 minutes. He spends the same amount of time per page. how long will it take him to read 11 pages? helpppp its a table too. time in minutes 20. the number of pages:5 1 11.
Answer:
44 minutes
Step-by-step explanation:
Kiran reads 5 pages in 20 minutes, if we divide we will know that he reads 1 page in 4 minutes.
Multiply 4 by 11 to find out how long it will take him to read 11 pages.
11 times 4 = 44
It will take Kiran 44 minutes to read 11 pages.
Animal House Rescue is holding a fundraiser raffle. They sell 2,980 tickets for $1 each for a prize telescope valued at $425. What is the expected gain or loss to a participant purchasing ten tickets?
Answer:
Gain: $415
Loss: $10
Step-by-step explanation:
money earned - money spent = gain/loss
The gain is when the participant wins the telescope:
telescope = $425 ==> money earned
10 tickets * $1 = $10 for tickets ==> money spent
$425 - $10 = $415
Loss is when the participant doesn't get the telescope:
$0 ==> money earned (No money earned)
10 tickets * $1 = $10 for tickets ==> money spent
$0 - $10 = -$10 gained
-$10 gained ==> $10 lost
A certain map shows two roads. Road A is 1 1/5 miles long but is 1 4/5 inches on the map. What is the unit rate for inches per mile on the map. If road B is 2 miles long, how long is road B on the map ?
The length of the map would be 3 inches.
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: length of the road as 6/5 miles and on the map 9/5 inches and thus 1 mile = 1.5 inches and therefore the length of the 2 mile road on the map is 2×1.5=3 inches
Hence, The length of the map would be 3 inches.
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L) simplify
cos²x - sin²x
Answer:
cos(2x)
Step-by-step explanation:
To simplify the expression cos²x - sin²x, we can use the identity cos²x - sin²x = cos(2x).
This identity can be derived by using the double angle formula for cosine:
cos(2x) = cos(x + x) = cos(x)cos(x) - sin(x)sin(x) = cos²x - sin²x
Therefore, the expression cos²x - sin²x can be simplified to cos(2x).
Using the regression line, or line of best fit, predict the resale value of an 8-year-old car with an original cost of $15,000.a.The 8-year-old car could be worth approximately $2000.b.The 8-year-old car could be worth approximately $5000.c.The 8-year-old car could be worth approximately $3000.d.The 8-year-old car could be worth approximately $4500.
The 8-year-old car could be worth approximately $3000.
The graphs that show the association between two variables in a data collection are called scatter plots. It displays data points either on a Cartesian system or a two-dimensional plane.
The X-axis is used to represent the independent variable or characteristic, while the Y-axis is used to plot the dependent variable. These diagrams or graphs are frequently used to describe these plots.
In the graph attached below, we can see that when the age of the car is 8 years, the resale value of the car is between points 40 and 20.
Thus, The 8-year-old car could be worth approximately $3000.
(Refer to the image attached for the complete question and graph)
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A chef that manages two restaurants buys seven bags of rice and six bags of flour.
Restaurant A receives four bags of rice and two bags of flour for a total cost of
$78. Restaurant B receives three bags of rice and four bags of flour for a total
cost of $71.50. What is the cost of each bag of rice and each bag of flour?
Answer:
- A bag of rice is $16.9
- A bag of flour is $5.20
Step-by-step explanation:
Let R and F stand for the price of a bag of Rice and Flour, respectively.
We can use the information provided to set an equation that will predict the total cost for that restaurant, given the quantities of rice and flour received (Restaurants A and B)
A) 4R + 2F = 78 [4 bags of rice and 2 bags of flour, when multiplied by the prices per bag, R and F, will result in a total cost of $78.
B) 3R + 4F = 71.5 [Now it is 3 bags of rice and 4 of flour, for a total cost of $71.50
We have 2 equations and 2 unknowns. We can use substitution to find the answers. Take one of the equations and reorganize it to isolate one of the variables (R or F). We'll take the equation for A and isolate F
---
A) 4R + 2F = 78
2F = 78-4R [subtract 4R from both sides]
F = 39-2R [divide both sides by 2]
We've isolated F, and we can use this definition of F in the second equation:
===
B) 3R + 4F = 71.5
3R + 4(39 - 2R) = 71.5 [Use the definition of F derived above. In this manner, we have legally eliminated one of the two variables. (Sneaky, effective, and fun)]
3R + 156 - 8R = 71.5 [Multiply, combine like terms, and simplify]
-5R = -84.5 [Isolate R]
R = $16.9 A bag of rice costs $16.9
Now use the price of rice (R=$16.9) in one of the equations. Since the rearranged equation we used above is already conveniently written for F, we'll use it:
F = 39 - 2R
F = 39 - 2(16.9)
F = 39 - 33.8
F = $5.20 A bag of flour costs $5.20
===
CHECK:
Do these two prices satisfy both equations we first formulated?
Restaurant A: 4R + 2F = 78?
4(16.9) + 2(5.20) = 78 YES
Restaurant B: 3R + 4F = 71.5?
3(16.9) + 4(5.20) = 71.5 YES
These are the correct answers.
Show that the vector field defined by the vector function v=xyz(yzi^xzj^xyk^) i conervative
The process to show the vector field V(x,y,z) as conservative is show below and the scalar potential f is [tex]f(x,y,z) =xyz^{2} + e^{\pi }[/tex] .
A Vector field can be called as conservative if we are able to find the potential function "f" , whose gradient is field .
The Gradient is vector that is made from partial derivatives of potential function .
The Vector function is given as , V(x,y,z) = [tex](yz^{2} )i + (xz^{2} )j + (2xyz)k[/tex] ,
So , we can write the partial derivatives function of potential function as :
[tex]\frac{\partial f}{\partial x} = yz^{2}[/tex] ; [tex]\frac{\partial f}{\partial y} = xz^{2}[/tex] ; [tex]\frac{\partial f}{\partial z} = 2xyz[/tex],
On Antidifferentiating any of the above three partial derivatives ,
we get ; [tex]f=xyz^{2} + C[/tex] , here the constant C can take any value ,
so , we take C as [tex]e^{\pi }[/tex] .
Therefore , the potential Function is [tex]f(x,y,z) =xyz^{2} + e^{\pi }[/tex] .
The given question is incomplete , the complete question is
Show that the vector field defined by the vector function V(x,y,z) = (yz²)i + (xz²)j + (2xyz)k is conservative by finding a scalar potential f .
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hi can someone pls help me
:)
Find the equation of the linear function represented by the table below in slope-intercept form.
y = 3x+4 ← equation of linear function.
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
Here, we have,
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 = y_2-y_1/x_2-x_1
with (x₁, y₁ ) = (- 3, - 5) and (x₂, y₂ ) = (1, 7) ← 2 ordered pairs from the table
m = 7+5/1+3
=12/4
= 3 ,
So, y = 3x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (1, 7 ), we get,
7= 3 + c
⇒ c = 7-3
= 4
Hence, y = 3x+4 ← equation of linear function
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if the chosen significance level is α = 0.05, then ____________________________________________. A) there is a 5% probability of rejecting a true null hypothesis
B) there is a 5% probability of accepting a true null hypothesis
C) there is a 5% probability of rejecting a false null hypothesis
D) there is a 5% probability of accepting a false null hypothesis
C) there is a 5% probability of rejecting a false null hypothesis
Simply put, probability is the likelihood that something will occur.
When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
Testing hypotheses is a crucial component of empirical research and evidence-based medicine. A well-developed hypothesis is only half the solution to the research problem. Working understanding of fundamental statistical principles is preferred for this, as well as subject-specific knowledge gleaned through a thorough survey of the literature.
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What is the meaning of △?
Meaning of the △ is: the given symbol is the representation of the geometrical figure triangle.
Different symbols used to represent the different geometrical figures.The given symbol has three sides.Symbol also represents three interior angles.When three sides intersect with each other it represents the vertices.The triangle represents the 2 dimensional shape.Sum of all the measure of the three interior angles is equal to 180 degree.Symbol of triangle in the geometrical shape is given by △.There are different shape such as square, rectangle, circle and many more.Therefore, the meaning of the given symbol △ is the representation of the triangle.
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A club plans to sell tote bags. The club members estimate they will sell 100 tote bags when the bags are priced at $11 each. For every price increase of $1, they estimate they will sell 10 fewer bags.
What is the estimated revenue, in dollars, when the bags are priced at $13 each?
(revenue = price × number sold)
1) 1,300
2) 1,100
3) 1,040
4) 880
The estimated revenue, in dollars, that the club will generate when the bags are priced at $13 each is 3) 1,040.
What is the revenue formula?The revenue formula is the multiplication of the number of units sold and the price per unit.
To determine the total revenue, we must first ascertain the unit price and the quantity sold.
We know that market forces and the competitive environment determine the quantity sold or supplied.
The demand for tote bags at $11 = 100 units
Decrease in demand for every $1 price increase = 10 units
When the price is $13 each, the units to be sold = 80 (100 -10 x 2)
The total revenue at $13 each = $1,040 (80 x $13)
Total revenue at $12 each = $1,080 (90 x $12)
Total revenue at $11 each = $1,100 (100 x $11)
Thus, we can conclude that the club generates less revenue when it increases its price per tote bag from $11 to $13, justifying the interactions between supply, demand, and cost.
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d minus 2 = 4.6 please help meeee im not good at mathhh
[tex]d-2=4.6[/tex]
Add 2 to both sides:
[tex]d-2+2=4.6+2[/tex]
[tex]\fbox{d = 6.6}[/tex]
The first term of a sequence is 13 The term -to-term rule is take away 5 work out the 4th term
Answer:
a₄ = - 2
Step-by-step explanation:
to calculate a term in the sequence subtract 5 from the previous term
give first term a₁ = 13 , then
a₂ = a₁ - 5 = 13 - 5 = 8
a₃ = a₂ - 5 = 8 - 5 = 3
a₄ = a₃ - 5 = 3 - 5 = - 2
Find the value of x then classify the triangle.
Answer:
x= 35⁰ - obtuse triangle
Step-by-step explanation:
since the sum of angles of the triangle = 180⁰
(3x-5) + (x+10) + (x) =180⁰
5x+5= 180
(subtracting 5 from both sides)
5x=180-5
5x= 175
(dividing by 5)
x= 35⁰
so the angles of the triangle are
(3x-5) = 105-5= 100⁰
(x+10) = 45⁰
(x) = 35⁰
then this triangle is an obtuse triangle
Sugar cookies make up 38% of all sales for a local baker's cookie sales. If the baker sold 133 sugar cookies, how many total cookies did the baker sell?
The total number of cookies baker sold in all are 350 cookies.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, sugar cookies make up 38% of all sales for a local baker's cookie sales.
Let the total number of cookies be x.
Now, 38% of x=133
38/100 ×x=133
x=13300/38
x=350
Therefore, the total number of cookies baker sold in all are 350 cookies.
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Is infinity times 0 still 0?
Yes, infinity times 0 is still 0 because if we multiply 0 to any number is 0.
Yes, infinity times 0 is still 0 because if we multiply 0 to any number is 0.
0 * 0 * 0 * 0= 0
Zero is the integer denoted 0 that, when used as a counting number, means that no objects are present. It is the only integer (and, in fact, the only real number) that is neither negative nor positive. A number which is not zero is said to be nonzero. A root of a function f is also sometimes known as "a zero of f."
The Schoolhouse Rock segment "My Hero, Zero" (Multiplication Rock, Season 1, Episode 2, 1973) extols the virtues of zero with such praises as, "My hero, zero Such a funny little hero But till you came along We counted on our fingers and toes Now you're here to stay And nobody really knows How wonderful you are Why we could never reach a star Without you, zero, my hero How wonderful you are."
Zero is commonly taken to have the factorization 0=0·1 (e.g., in the Wolfram Language's FactorInteger[n] command). On the other hand, the divisors and divisor function sigma_k(0) are generally taken to be undefined, since by convention, n|0 (i.e., n divides 0) for every n except zero.
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33
Problem 2
m, p, and z represent the lengths of the three sides of this right triangle.
m
i
Z
Р
Select all the equations that represent the relationship between m, p, and z.
Therefore , the solution of the given problem of equation comes out to bem² + p² =z².
Equation: What is it?The Latin word equ has the meaning of equivalent. Many of the English language's changeable terms, including adequate, temperate, and equality, contain Latin roots in their base words. The Latin root word equ enters our lexicon rather easily because both sides of an equation are, by essence, "equal" to one another.
Here,
Given : a triangle of m,p,z of length of right triangle :
By using Pythagoras theorem :
The relationship comes out to be :
=> m² + p² =z²
Thus , relationship between m , p and z is m² + p² =z² as per Pythagoras theorem.
Therefore , the solution of the given problem of equation comes out to be m² + p² =z².
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80 people were laying out on the beach. Clouds started forming, and it looked like it was going to rain. 42 people left. What is a reasonable estimate for the percentage of people that left the beach?
Select the best answer from the choices provided.
A. 10%
B. 25%
C. 50%
D. 75%
Answer:
C. 50%
Step-by-step explanation:
Since 40 is half of 80, and 50% means half, and 42 out of 80 is close to half, then 42 out of 80 is close to 50%.
Answer: C. 50%
Answer:
b25
Step-by-step explanation:
beacuse that is a rain and reasonable he percentage
Which mixed number is equal to 35
Answer:
35 [tex]\frac{0}{1}[/tex]
Step-by-step explanation:
Estimate the difference by rounding each number to the nearest whole number and then subtracting.
10.04 − 6.3
Answer:
Estimate of difference is 4.
Step-by-step explanation:
10.04 = 10 to nearest whole number
6.3 = 6 to nearest whole number.
10 - 6 = 4.
How do you reflect over Y =- 4?
Can someone help on this?
Answer:
x=0 and y=36
Step-by-step explanation:
30 + 6 equals 36 but it is negative so you would add 30 to negative thirty to get to zero and go into the positive numbers. So if you add 6 more you would have positive 6. so it it 36 y is 36
You know that 4 movie tickets in Virginia plus 5 movie tickets in Maryland cost $77. You also know that 8 movie tickets in Virginia plus 3 movie tickets in Maryland cost $91. How much does a ticket in Virginia cost?
The cost of one ticket in Virginia is $8
What is a system of linear equations?A System of Linear Equations is when we have two or more linear equations working together.
Given that, 4 movie tickets in Virginia plus 5 movie tickets in Maryland cost $77, Also know that 8 movie tickets in Virginia plus 3 movie tickets in Maryland cost $91.
To find the cost of a ticket in Virginia we will establish a system of linear equations and then solve them,
Let V represents the cost in Virginia that of in Maryland be M
Therefore,
4v+5m = 77.......(i)
8v+3m = 91........(ii)
Multiplying the equation eq(i) by 2 and subtracting eq(ii) from eq(i) [Elimination]
(8v+10m = 154) - (8v+3m = 91)
7m = 63
m = 9
Put m = 9 in eq(i)
4v+5(9) = 77
4v = 77-45
4v = 32
v = 8
Hence, Each ticket in Virginia and Maryland costs $8 and $9 respectively.
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Santos walks 222 kilometers south and then a certain number of kilometers east. He ends 555 kilometers away from his starting position. How many kilometers east did Santos walk
Answer:
4.6 km
Step-by-step explanation:
You want to know how many kilometers east Santos walked to end up 5 km from his starting position after walking 2 km south.
DistanceThe distance Santos is from his starting position will be the hypotenuse of a right triangle with one leg 2 km. Using the Pythagorean theorem, we can find the length of the other leg.
c² = a² + b²
5² = 2² + b²
21 = b²
b = √21 ≈ 4.583
Santos walked about 4.6 km east.
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Because milk tea is flourishing in their town, Mathilda decided to sell Wintermelon milk tea (WMT) powder at Php 1 per gram and Okinawa milk tea (OMT) powder at Php 2 per gram. To increase her profit, she plans to mix the two milk tea powders. How much OMT should she mix with 300 grams of WMT so that she can sell the resulting mixture at Php 1.80 per gram?
So, Mathilda should mix 600 grams of OMT with 300 grams of WMT to sell the resulting mixture at Php 1.80 per gram.
Define the unitary method.The unitary approach involves calculating the value of a single unit, from which we may calculate the values of the necessary number of units.
The unitary method's formula is to identify the value of a single unit, then multiply that value by the number of units to obtain the required value.
What is a unit?A unit is a quantity with a fixed magnitude that is used to gauge the sizes of other quantities that behave similarly.
The terms millimeter (mm), centimeter (cm), meter (m), and kilometer (km) are used to describe length (km). The weight is measured in kilograms (kg) and grams (g). Milliliter (ml) and liter are used to measure volume (L).
Let x be the amount of OMT powder in grams. We know that the total amount of powder in the mixture is x + 300 grams since Mathilda is mixing x grams of OMT with 300 grams of WMT.
(x * Php 2 + 300 * Php 1) / (x + 300) = Php 1.80
Solving for x, we can get the amount of OMT powder in grams:
x = (300 * Php 1.80 - 300 * Php 1) / (Php 2 - Php 1.80) = 300 * (Php 1.80 - Php 1) / (Php 2 - Php 1.80) = 600
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PLEASE HELP ASAP I WILL GIVE BRAINLIEST!!!
Answer:
try -5
Step-by-step explanation:
mainly because it says -3 plus 5 and there's only 4 and 5 so It can't really go further
Answer:try -5
Step-by-step explanation:
mainly because it says -3 plus 5 and there's only 4 and 5 so It can't really go further
please i need help! anything will help
Answer:
a = 3 or -3
Step-by-step explanation:
a^2 -8 = 1
a^2 = 1 + 8
a^2 = 9
a = - [tex]\sqrt{9}[/tex] or [tex]\sqrt{9}[/tex]
a = 3 or -3
Answer: a = 3, -3
Step-by-step explanation:
Since we want to find what values of a, or x when substituted into the function, equal 1, we will set the function equal to 1 and solve for x.
Given:
f(x) = x² - 8
Set equal to 1:
1 = x² - 8
Subtract 1 from both sides of the equation:
x² - 9 = 0
Difference of squares factoring:
(x - 3)(x + 3) = 0
Answers:
x = 3, -3
So,
a = 3, -3