The equations that represent the hanger are -
x + x + x = 1 + 1 + 1 + 1 + 1 + 1 and 3x = 6.
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.Given are the expressions as given in the question.
The equations that represent the hanger are -
x + x + x = 1 + 1 + 1 + 1 + 1 + 1
and
3x = 6
Therefore, the equations that represent the hanger are -
x + x + x = 1 + 1 + 1 + 1 + 1 + 1 and 3x = 6.
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For what value of k are the graphs of 12y = 9x + 8 and 4y = k(x + 4) parallel?
perpendicular? I HAVE THE ANSWER, just need step to step explanation on how to solve it (pls be clear, answers in pic)
Answer:
parallel: k = 3perpendicular: k = -16/3Step-by-step explanation:
You want to know the values of k that make the line 4y = k(x +4) either parallel or perpendicular to the line 12y = 9x +8.
ParallelThe slopes of parallel lines are the same. When the equation of a line is written in "y =" form, the slope is the coefficient of x. Here, the two equations written in that form are ...
y = k/4x +1y = 3/4x +2/3For parallel lines, we want to choose the value of k so that the slopes are equal:
k/4 = 3/4
k = 3 . . . . . . . . multiply by 4
PerpendicularThe slopes of perpendicular lines have a product of -1. This means we want to choose k so that ...
(k/4)(3/4) = -1 . . . . . the product of slopes k/r and 3/4 is -1
k = -16/3 . . . . . . . . . multiply by 16/3
__
Additional comment
The attached graph shows the original line (dashed red) and the parallel and perpendicular lines with their respective values of k.
if you are sexually active, what are the odds of you contracting an sti by the time you are 25 years old?
The odds of you contracting an sti by the time you are 25 years old is 50%.
Even if a person has only had one physical relationship, that partner could be infected. Of course, the risks of contracting STDs (also known as sexually transmitted illnesses, or STIs) increase if a person has unprotected intercourse with a variety of partners.
Many persons with STDs have no evident indications or symptoms. As a result, individuals may assume they are "clean" and inform partners they don't need to use a protection.
But that's not a good idea. For example, almost six out of ten young people infected with HIV are unaware of their status. As a result, they risk infecting others with the AIDS virus.
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(a) Work out 3.67 x 4.2
Answer:
15.414
Step-by-step explanation:
3.67
x 4.20 ← the zero is your 'holding' spot so to speak
000 ← 0 x 7, 0 x 6, 0 x 3
.7340 ← 2 x 7, 2 x 6 + 1, 2 x 3 + 1
14.6800 ← 4 x 7, 4 x 6 + 2, 4 x 3 + 2
15.414
please help ill give alot of points
Answer:
Paulina is reading a book with 677pages total. If she has already read 345 and plans to read 23 pages a day, how many days, x, will she nees to read at that pace until she finishes the entire book?
Step-by-step explanation:
[tex]345 + 23x = 677[/tex]
23x=677-345
x=677-345/23
x=332/23
x= 14.43 days
Find the roots of the factored polynomial.
(x–3)2
Write your answer as a list of values separated by commas.
Answer:
×=3
......................
Fill in the blanks to create an equation with infinite solutions:
7x + 19 = 4x + x - 12 +
Left hand side is equal to right hand side that is 7x+19 the missing term is 2x+31 we get equation as 7x+19= 4x+x-12+2x+31.
Given that,
We have to find the fill the blank of the equation with infinite solution is 7x+19= 4x+x-12+------
We know that,
Take the equation
7x+19= 4x+x-12+------
We have to find the missing terms so that the right hand side is equal to left hand side.
Right hand side is 7x+19
Left hand side is 4x+x-12+------
5x-12+----
To get 7x we have to add 2x and to get +19 we have to add 31 to left hand side.
5x-12+2x+31
7x+19
Therefore, Left hand side is equal to right hand side that is 7x+19 the missing term is 2x+31 we get equation as 7x+19= 4x+x-12+2x+31.
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A table of values is shown.
Show work
This is my method.
Take two points.
(X₁ = -8, Y₁ = 8)
(X₂ = -3, Y₂ = 4.875 or 4 7/8)
Equation of a straight line:
y = mx + b ------(i)
Step 1: Calculating Slope (m).
[tex]\frac{y_2-y_1}{x_2-x_1 }[/tex]
[tex]\frac{4.875-8}{-3--8}[/tex]
[tex]\frac{-3.12500}{5}[/tex]
[tex]m=-0.625[/tex]
Now putting value of m in equation (i)
y = -0.625x + b -----(ii)
Step 2: Calculating Y-intercept (b).
Lets choose the first point, (-8,8) for calculating y-intercept:
y = mx + b
8 = -0.625(-8) + b
8 = 5 + b
3 = b
b = 3
Now putting value of b in equation (ii)
y = -0.625x + 3
This is slope-intercept form, now let's convert to point-slope formula.
⇒ [tex]y-2.375=-0.625(x-1)[/tex]
A zookeeper ha a 28 gallon of water. He divide the water equally amoung 13 animal. How many gallon of water doe each animal get?
If zookeeper have to divide the 28 gallon of water equally among 13 animal then each animal will get 2.15 gallon of water.
How much means 1 gallon?8 pints, 4 quarts, or 16 cups make up a gallon. Depending on whether you use Imperial or Metric measurements, there are 128 fluid ounces in a gallon.
Is 3 liters the same as 1 gallon?The volume of a gallon is about equal to 3.78541 liters. Consequently, a gallon is larger than three liters.
According to given to given condition
total amount of water:
=28 gallon
no. of animals:
=13 animal
then each animal get water:
=28/13
=2.15 gallon of water
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A French class has students while a Spanish class has twice as many.
The Spanish class has nine more students than the French class. Find the value of f.
Students in french class are 9 and in Spanish are 18 , according to given equation.
What is arithmetic?
Arithmetic is an elementary a part of arithmetic that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, mathematical operation, and extraction of roots.
Main body:
According to question:
A French class has students while a Spanish class has twice as many.
let french class have f students then Spanish class will have 2f students.
The Spanish class has nine more students than the French class.
which means
2f - f = 9
f = 9
hence students in french class are 9 and in Spanish are 18 .
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Manas is half his sister's age.
She is eight years younger than
Uncle Mike. Mike is the sum of a
dozen and a score.
In how many years time will the sum of Manas' age and his
sister's age be 48 years?
Answer: In 6 years the sum of Manas' age and his sister's age will be 48 years.
Step-by-step explanation:
We know that value of a dozen is 12 and the score is 20.
Hence,
Uncle Mike's age = 12+20 = 32 years
Since Manas' sister is 8 years younger than Mike,
Her age = 32 - 8 = 24 years
We know that Manas is half her age. Therefore,
Manas' age = 24 ÷ 2 = 12 years
After x years the sum of Manas' age and his sister's age will be 48 years.
Manas' future age = (12 + x) years
His sister's future age = (24 + x) years
The Sum of their ages is 48 years. Hence,
(24 + x) + (12 + x) = 48
36 + 2x = 48
2x = 48 - 36
2x = 12
x = 12 ÷ 2
x = 6
Therefore, in 6 Years sum of their ages is 48 years.
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-2x + 15y + z = 44
4x + 3y + 3z = 18
-3x+6y-z = 8
The system of equation is inconsistent as these three equations does not give any solution.
How to solve three variable equations?
In comparison to equations with two variables, a three-variable linear equation requires a little more work to solve. The extra variable is the cause of this complexity.
Even if there are various ways to solve this kind of equation, the elimination technique is still the simplest.
To solve three variable linear equations using the elimination approach, follow these steps:
1. Avoid using fractions and decimals and write all the equations in standard form.
2. Pick an appropriate variable to remove.
3. Remove the chosen variable from any two of the three equations.
4. Choose another set of the two equations, and then take the same chosen variable out.
5. For the two variables they each include, solve the two equations from stages three and four.
6. Replace the answer in fifth step.
7. Reverify by putting them again in the equation.
So according to these given Equations we have to find the value of x, y and z respectively,
-2x + 15y + z = 44
4x + 3y + 3z = 18
-3x+6y-z = 8
After solving these three equations we do not get any solutions.
Hence the system of equations is inconsistent.
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Help me asp please thanks before 11:59 do 9 and 10
Answer:
9) compress
10) translate right 8 units
Step-by-step explanation:
Use synthetic division to find the result when 3x^{4}-7x^{3}-14x^{2}+15x+273x
4
−7x
3
−14x
2
+15x+27 is divided by x-3x−3.
3x^3 + 2x^2 + 11x - 20 + (10/(-x-7)), This corresponds exactly to the result of polynomial long division.
what is polynomial?Algebraic expressions called polynomials include constants and indeterminates.
Polynomials can be thought of as a type of mathematics. Nearly all branches of mathematics employ them to express numbers, and calculus is one of those branches where they play a crucial role.
A specific kind of expression is a polynomial. A mathematical statement without the equals symbol (=) is called an expression.
An algebraic expression known as a polynomial requires that all of its exponents be whole numbers.
Any polynomial must have variable exponents that are non-negative integers.
Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.
According to our question-
-3x3 + 2x2 + 11x - 20 + (10/(-x-7)) = 3x4 + 19x3 - 25x2 - 57x + 150
In order to perform synthetic division, we must first remove the minus sign from the divisor and write out
-7 | -3 -19 25 57 -150
| 21 -14 -77 140
-3 2 11 -20 -10
obtain that
3x4 + 19x3 - 25x2 - 57x + 150 / (-x-7) is equivalent to 3x4 - 19x3 - 25x2 - 57x + 150 / (x+7) is equivalent to 3x3 + 2x2 + 11x - 20 + (10/(-x-7)).
Hence, 3x^3 + 2x^2 + 11x - 20 + (10/(-x-7)), This corresponds exactly to the result of polynomial long division.
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Need help giving Brainly to the answer. thank u
Answer: 26
Step-by-step explanation:
let t = thomas's age
104 = (3t) + t
104 = 4t
t = 26
Answer: 26 years old
Step-by-step explanation:
We will write a system of equations to help us solve, let h be equal to Huilan's age and t be equal to Thomas's age.
h = 3t
h + t = 104
Now, we will solve by substituting the first equation into the second.
Then, we will simplify the equation on the left side by combining like terms and dividing both sides of the equation by 4 to isolate the variable.
h + t = 104
(3t) + t = 104
4t = 104
t = 26
PLEASE HELP AND FAST! ILL GIVE BRAINLIEST AND 50 POINTS BUT MAKE SURE YOU INCLUDE WORK!!!
Max bought 12 apples for $6.00 .Find the cost of 1 apple.Find the cost of 24 apples
for an experiment involving 2 levels of factor a and 3 levels of factor b with a sample of 5 in each treatment condition, what is the value for dfwithin?
The value for df within in an experiment with two levels of factor a and three levels of factor b and five samples for each treatment condition is between 3.
Explain the term levels of factor?In a two-way ANOVA, the 2 separate variables are known as factors. Two variables, or factors, are supposed to influence the dependent variable. There will be two or even more levels inside each factor, and there are one less degrees of freedom per factor than there are levels.Let n1 represent factor A's level of freedom.
Let n2 represent factor B's degree of freedom.
If factor A has five levels, then n1 = 2.
If Factor B has seven levels, then n2 = 3.
The formula is used to express how the degrees of freedom interact;
df = (n1 - 1)+(n2 - 1) (n2 - 1)
df = n1 -1 + n2- 1
df = n1 + n2 -2
Replace n1 and n2 to obtain df;
df = 2 + 3 - 2
df = 3
Thus, the value for df within in an experiment with two levels of factor a and three levels of factor b and five samples for each treatment condition is 3.
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four friends do yardwork for their neighbors over the weekend, earning $15,$20,$25, and $40, respectively. they decide to split their earnings equally among themselves. in total how much will the friend who earned $40 give to the others?
D would give A $10 and B $5 in total amount will the friend who earned $40 give to the others .
what is amount ?The quantity of something is how much there is, how much you have, how much you require, or how much you obtain. He requires that sum of money to get by. I still provide some services to them. Definitions of quantity, lot, measure, and size Additional words for "quantity".
calculation
Let A, B, C, and D each stand in for one of the four buddies.
A made $15 in earnings.
B made $20 in revenue.
C made a profit of $25.
D made $40 in revenue.
Total earnings equal 15 plus 20 plus 25 plus 40.
$100 was earned overall.
Each friend ought to receive an equal share;
Each income is calculated as follows: total income /friends
Adding a substitute to the equation, we have;
Each income equals 100/4
$25 equals each earnings.
D would therefore become; given $40.
D = $40 - $25
D = $15
As a result, D would give A $10 and B $5.
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Piper works in a department store selling clothing. She makes a guaranteed salary of $250 per week, but is paid a commision on top of her base salary equal to 15% of her total sales for the week. How much would piper make in a week in which she made $2050 in sales? how much would piper make in a week if she made xx dollars in sales?.
If a piper will make $2050 in sales in a week than she will get 557.5$ including her commission and salary.
What is commission in money?A sales commission is a payment made to an employee after they successfully complete a task, typically selling a predetermined volume of goods or services. Sales commissions are a common incentive used by employers to boost employee productivity. A commission can be paid instead of or in addition to a salary.
As she makes a guaranteed salary of $250 per week
and paid a commission equal to 15% of her total sales for the week
if she made $2050 in sales in a week
so calculating it 15% commission
=(15x2050)/100
=307.5$
now adding the salary with commission:
=$250+307.5$
=557.5$
so this is the amount piper make will in this a week.
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Answer: it’s raining tacosss. From out of the skyyYYy.
Step-by-step explanation:kit tu litter
Tell which value of the variable is the solution of the equation. 128÷n=16; n=5, 6, 7, 8
Answer:
8
Step-by-step explanation:
128/n * n = 16 * n
128 = 16n
128/16 = 16/16 n
n = 8
The factor tree for 3,025 is shown.
A factor tree starts with 3,025 at the top. 3,025 branches down to 5 on the left and 605 to the right. 605 branches down to 5 on the left and 121 on the right. 121 branches down to 11 on the left and 11 on the right.
What is the simplest form of StartRoot 3,025 EndRoot?
Therefore, In order to complete this activity, we must have understanding of divisibility, which leads us to discover that:
3025 is [tex]5^{2} (11)^{2}[/tex]
What is factor tree ?A number's factors, and more specifically its prime factorization, can be expressed as factor trees. There are factors for each branch of the tree. The branch comes to an end and the number is circled once the factor at the branch's end is a prime number, leaving only itself and one as potential factors.
Here,
Since divisibility is the capacity of a number to lose value, we determine that:
=> 3025/5 =605
=> 605/5=121
=> 121/11=11
=> 11/11=1
=[tex]5^{2} (11)^{2}[/tex]
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The legs of a right triangle are 3 units and 6 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. (5 points)
Question 4 options:
1)
5.20 units
2)
6.71 units
3)
9.00 units
4)
18.00 units
The length of the hypotenuse is 6.71
How to calculate the length of the hypotenuse ?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this rule, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse, or the side across from the right angle. This theorem can be expressed as the Pythagorean equation, which is an equation relating the lengths of the sides a, b, and the hypotenuse c:
[tex]{\displaystyle a^{2}+b^{2}=c^{2},}[/tex]
Given ,
Pythagorean therum
a^2 + b^2 = c^2....a and b are ur legs and c is the hypotenuse
3^2 + 6^2 = c^2
9 + 36 = c^2
45 = c^2...take the sqrt of both sides....this eliminates the ^2
sqrt 45 = c
6.708 rounded = 6.71 = c
Therefore the length of the hypotenuse is 6.71
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Pls help! I found a linear function, but I don't understand, what should I do with a and b
The cost of each desk is $42.
The initial cost to make these new school desks is $635.
What is a solution of linear function?
The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.
Assume that the cost of each desk be m.
The initial cost to make these new school desks be c.
Then the total cost will represent by the equation:
y = mx + c .....(i)
Putting x =21 and y = 1517 in the equation (i)
1517 = 21m + c ...(ii)
Putting x = 47 and y = 2609 in the equation (i)
2609 = 47m + c ...(iii)
Subtract equation (ii) from (iii)
47m + c =2609
21m + c = 1517
(-) (-) (-)
___________
26m = 1092
Divide both sides by 26
m = 42
Putting m = 42 in equation (ii)
1517 = 21 × 42 + c
1517 = 882 + c
c = 1517 - 882
c = 635
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The table and scatter plot show the number of ice cream stand customers along with the high temperature for a given day. The line of fit represents the predicted number of customers y, on a day with a high temperature of x°F. Which statement correctly analyzes the residuals?
High Temperature (°F) Customers
82 805
76 612
91 1218
87 1074
85 894
79 675
A)
The smallest residual is 14, and the largest residual is 51. The largest residual corresponds to an outlier in the data.
B)
The smallest residual is 14, and the largest residual is 51. The largest residual does not correspond to an outlier in the data.
C)
The smallest residual is 18, and the largest residual is 45. The largest residual corresponds to an outlier in the data.
D)
The smallest residual is 18, and the largest residual is 45. The largest residual does not correspond to an outlier in the data.
Based on the information provided, the correct statement is: The smallest residual is 14, and the largest residual is 51. The largest residual corresponds to an outlier in the data.
A residual is the difference between the actual value of the dependent variable (in this case, the number of customers) and the predicted value of the dependent variable based on the model (in this case, the line of fit). In other words, it is the error or deviation between the observed data and the model.
In this case, the smallest residual is 14, and the largest residual is 51. This means that the model is most accurate when predicting the number of customers on days with temperatures close to 82°F and least accurate when predicting the number of customers on days with temperatures close to 91°F. The large residual of 51 corresponds to an outlier in the data, which means that the model is not a good fit for this data point and may not accurately predict the number of customers on days with temperatures close to 91°F.
Option A is correct because it correctly describes the range and magnitude of the residuals and identifies the largest residual as corresponding to an outlier in the data. Options B, C, and D are all incorrect because they either do not correctly describe the range or magnitude of the residuals or do not correctly identify the largest residual as corresponding to an outlier in the data.
What do you mean by statistical?
statistics is defined as: the branch of mathematics dealing with data collection, organization, analysis, interpretation and presentation.
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Compare the function f(x)=3x-1/2 to the function shown in the graph. Which statements are correct?
Answer: B
Step-by-step explanation:
For [tex]f(x)=3x-\frac{1}{2}[/tex], comparing it with slope-intercept form yields that the slope is [tex]3[/tex] and the [tex]y[/tex]-intercept is [tex]-1/2[/tex].
For the graphed function, the slope is [tex]\frac{-4-0}{-2-6}=\frac{1}{2}[/tex] and the [tex]y[/tex]-intercept is about [tex]-3[/tex].
Since the absolute value of the slope of the graphed function is less than that of [tex]f(x)[/tex], option B is correct.
$39 pizza order; 15% tip
Answer: $44.85
Step-by-step explanation:
Take 39 times 0.15% = $5.85
39 + 5.85 = $44.85
The total cost is $44.85
Answer: 44.85
Step-by-step explanation:
15% of 39 = 5.85
a right triangle's height is 3 times the length of its base. if the area of the triangle is 150, what is its height?
The height of the right triangle if the area of the triangle is 150 square units = 30 units
In this question, we have been given a right triangle's height is 3 times the length of its base.
We need to find the height of the right triangle if the area of the triangle is 150 square units.
Let h be the height and b is the base of the right triangle.
A right triangle's height is 3 times the length of its base.
So we get an equation,
h = 3b ............(1)
Using the formula of area of right triangle,
A = 1/2 * b * h
150 = 1/2 * b * 3b .........(from equation (1))
300 = 3b^2
b^2 = 100
b = 10
Subatitute above value of b in equation (1),
h = 3 * 10
h = 30 units
Therefore, the height of right triangle is 30 units
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Help y’all I need this by tonight, I don’t know this ahhhhhh- I gotta do thi in 9th grade ;-; , -1/9(-5/13)
The answer will be 5/117.
Let us understand the process. First, we have to do -\
1/9x{-5/13).
Then we have to then calculate -1x-5 which is equal to 5.
Again, we have to calculate 9x13 which is equal to 117.
Therefore, the answer will be 5/117.
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whatt is the answer i need answers like right now I'm going to fail
Answer:
1/2
Step-by-step explanation:
we can make this a fraction
29/59
if we look at our answer choices it is not 0 and it is not a whole number yet and definitely not 2 but it is close to 1/2
29/59=0.49
1/2= 0.5
Which are very close to each other
Hopes this helps please mark brainliest
Anthony charges $15 an hour for tutoring and $10 an hour for babysitting. He can work no more than 14 hours a week. How many hours should anthony spend on each job if he wants to earn at least $125 each week?.
If he wants to make $125 by working 14 hours per week, he must invest 17 hours in babysitting and -3 hours in tutoring.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Here,
Cost of tutoring=$15
Cost of babysitting=$10
Total time he can give=14 hours
Total amount he wishes to earn=$125
Let x be the time he gave to tutoring and y be the time he gave to babysitting,
x+y=14
x=14-y
15x+10y=125
15(14-y)+10y=125
210-15y+10y=125
5y=85
y=17
x=-3
He should spend 17 hours on babysitting and -3 hours on tutoring if he want to earn $125 by working 14 hours per week.
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