2 monthly = 2 m, an equation for calculating the total number of movies she will watch over the course of m months.
What is Equation?A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance.
Equations come in a variety of forms, including linear, quadratic, cubic, etc.
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. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" symbol in it.
According to our question-
Mai may view the following number of films each month if he watched two per month:
movies available = n
m = months
2 monthly = 2 m
Hence, 2 monthly = 2 m, an equation for calculating the total number of movies she will watch over the course of m months.
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Construct a quadrilateral PQRS with PQ= 5cm, QR = 5.5cm, RS = 5.5cm, SP= 6.5cm & angle PQR = 75°.Also construct a Triangle QRM whose area is equal to quadrilateral PQRS.
The image for quadrilateral PQRS is attached below
The image for Triangle QRM is attached below
What is the construction of a quadrilateral PQRS?Generally, To construct a quadrilateral PQRS with the given dimensions, you can use a straightedge and a compass. Here is a step-by-step guide:
Start by drawing a straight line segment PQ of length 5 cm.Place the compass on point P and draw an arc with a radius of 5.5 cm.Place the compass on point Q and draw an arc with a radius of 5.5 cm. The two arcs should intersect at a point R.Place the compass on point R and draw an arc with a radius of 6.5 cm.Place the compass on point P and draw an arc with a radius of 6.5 cm. The two arcs should intersect at a point S.Connect points S and R to complete the quadrilateral PQRS.To construct a triangle QRM with an area equal to quadrilateral PQRS, you can use the same method as above. Here is a step-by-step guide:
Start by drawing a straight line segment QM of length 5 cm.Place the compass on point Q and draw an arc with a radius of 5.5 cm.Place the compass on point M and draw an arc with a radius of 5.5 cm. The two arcs should intersect at a point R.Connect points Q and R to complete the triangle QRM.To verify that the area of triangle QRM is equal to the area of quadrilateral PQRS, you can use the formula for the area of a triangle:
Area of triangle QRM = (1/2) * QM * QR * sin(angle QRM)
And the formula for the area of a quadrilateral:
Area of quadrilateral PQRS = (PQ * QR * sin(angle PQR))/2
Substituting the given values and solving for sin(angle QRM), we find that:
sin(angle QRM) = (2 * area of quadrilateral PQRS)/(QM * QR)
= (2 * (5 * 5.5 * sin(75)))/(5 * 5.5)
= sin(75)
Thus, the area of triangle QRM is equal to the area of quadrilateral PQRS, as desired.
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A shipping container is in the shape of a right rectangular prism with a length of 20 feet, a width of 8.5 feet, and a height of 8 feet. The container is filled with contents that weigh 0.25 pound per cubic foot. What is the weight of the contents in the container?
5440 pounds
1360 pounds
240 pounds
340 pounds
The weight of the contents in the container is 340 pounds
How to calculate the weight of the contents in the container ?The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically in a variety of imperial or US-standard units as well as SI-derived units. Volume and the definition of length are related.
Given ,
volume of container = 20 x 8.5 x 8= 1360 cubic feet
weight = 0.25 pounds per cubic foot
0.25 x 1360 = 340 pounds
Therefore the weight of the contents in the container is 340 pounds
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Solve for x . Round to the nearest tenth, if necessary.
Answer: 52.5°
Step-by-step explanation:
sin59 = 45/x
sin59(x) = 45
x = 45/sin59 = 52.5°
Emma had to finish her 366-page novel by Friday. She had already read 244 pages. Write and solve an equation to show how many pages Emma had left to read by Friday.
p − 244 = 366; p = 610 pages
p + 244 = 366; p = 122 pages
122p = 244; p = 2 pages
p over 244 equals 2; p = 488 pages
Answer: Its b my guy :)
Step-by-step explanation: 244 + 122 = 366
and the only answer with 366 is b! hope this helps!
Write the
equation
of the line In
Slope-Intercept
Form.
Type your
answer here.
The equation of line in slope intercept form is y = -1/3 x + 1.
What is equation of a line?
The set of points that make up a line in a coordinate system are represented algebraically by a line's equation. An equation of a line is an algebraic expression that represents the many points that together make up a line in the coordinate axis as a set of variables, x, and y. The slope of the line and a point on the line can be used to create the equation of a line.
The points on the line are (3,0) and (0,1).
The slope of a line that passes through the points (x₁, y₁) and (x₂, y₂) is (y₂ - y₁)/(x₂ - x₁).
The slope of line is (1 - 0)/(0 - 3) = -1/3.
The line cuts y-axis at (0,1). Thus y-intercept of the line is 1.
The slope-intercept form of the line is
y = -1/3 x + 1
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a computer costs £2500 when new. Its value depreciates 12% compounded each year. How much does it cost after 3 years?
The computer will cost £ 33512.32
Given,
the cost of the computer = 2500
Depreciation = 12%
Cost after 3 years =?
compound interest is calculated as,
A = P(1 + r/n)nt
r = 12/100 = 0.12
So, A= P(1 + r/n)nt
A = 2500 (1+.12/1)1*3
A= 2500 (1.12)³
A= 2500 * 1.404928
A = 3512.32
So, The computer will cost £ 33512.32
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1. A painting crew bought 55 gallons of paint for a job, The crew members used 5 gallons of paint per hour until
they used all the paint. Sketch a graph to represent the start to the end of the job, assuming all paint was
used Be sure to title your graph, label your axes, and label your intercepts. This must be graphed by hand
or by using the tools in Word. a You may not use a web-based graphing program.
The equation is 55 = 5t and the graph is attached with the answer.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a painting crew bought 55 gallons of paint for a job, The crew members used 5 gallons of paint per hour until they used all the paint.
The equation can be written as,
55 = 5t
Here, t is the number of hours.
The graph is attached with the answer below.
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Which expression is equivalent to this polynomial?
15x - 24
A.3(5x-8)
B. 5(3x-8)
C. 3(5x-24)
D.3(5x - 5)
Answer: A 3(5x-8)
Step-by-step explanation: 3 times 5x is 15x and 3 times -8 is -24
Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?
Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction
An expression which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula is: expression A. Therefore, the correct answer option is A.
What is a quadratic equation?A quadratic equation can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
Mathematically, the quadratic formula is modeled or represented by this mathematical expression:
[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
From the information provided, we have the following values;
0 = -3x² - 2x + 6
Where:
a = -3
b = -2
c = 6
Substituting the values into the quadratic formula, we have;
[tex]x = \frac{-(-2)\; \pm \;\sqrt{(-2)^2 - 4(-3)(6)}}{2(-3)}\\\\x = \frac{2\; \pm \;\sqrt{4^2 - 4(-3)(6)}}{2(-3)}[/tex]
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If i clap my hands 20 times in 12 seconds. How many times will i do it in 2minutes. Then 3 minutes.
If i clap my hands 20 times in 12 seconds. 200 times will i do it in 2 minutes.
The friend can clap his hands 28 times in 12 seconds, according to our knowledge. The first thing we need to know is how many times he can clap in a second:
What is clap ?
Gonorrhea is known by the slang term "the clap." Gonorrhea is also referred to as "the drip." Someone who has an may feel stigmatized and shamed by these words.
To do it, we must divide the number of seconds by the number of times he can clap his hands:
20/12 =1.6667
He can clap his hands 1.6667 times in 1 second:
Now we want to know how many times will he clap his hands in 2 minutes
We have to change 2 minutes into seconds:
1 (minute) = 60 (seconds in 1 minute)
2 (minutes) * 60 (seconds in 1 minute) = 120seconds
After we get the seconds he is going to clap his hands, we have to multiply the times he claps times the seconds:
1.6667 times * 120 seconds = 200
200 times in 2.25 minutes
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Perpendicular lines form angles that are how many degrees at their intersection?
O a. 45 dregrees
O b. 90 degrees
O c. 135 degrees
O d. 225 degrees
Answer:
Step-by-step explanation:135 degrees
calculate the p-value associated with the null hypothesis that 50% of the students at eastern work more than 10 hours a week.
The p-value associated with the null hypothesis = 0.05
Fail to reject the null hypothesis. The P-value is greater than the level of significance.
Candice should reject the null hypothesis as the 50% confidence interval does not contain 10 hours
Small p-values offer proof that the null hypothesis is false. The stronger the evidence is against the null hypothesis, the smaller (closer to 0) the p-value. The null hypothesis is rejected if the p-value is less than or equal to the chosen significance level; otherwise, it is not.
You have the Hypothesis that "students study less than 10 hours, on average, per week"
Symbolically:
H₀:μ≥10hours
H₁:μ<10hours
The significant level for this case study is 50% - 0.05. If the results gotten is less than the significance level, we reject the null hypothesis, but if greater, we fail to reject the null hypothesis.
The p-value of 0.05 is one of the most often used numbers. When the calculated p-values are less than 0.05, the faulty hypothesis is considered to be fraudulent or invalid (subsequently the name invalid theory). Additionally, the faulty theory is taken into consideration to be clear if the value is greater than 0.05.
The edge for that likelihood in our model is 0.05, and it represents the probability that our results will be similar to the invalid speculation. Therefore, if the calculated p-value is less than 0.05, it actually means that there is a very little likelihood that we would have the same results as the flawed hypothesis. Additionally, if the p-value is greater than 0.05, there is a very strong probability that the results will be similar to the flawed speculation, leading us to conclude that it is legitimate.
Therefore,
Fail to reject the null hypothesis. The P-value is greater than the level of significance.
The p-value associated with the null hypothesis = 0.05
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Which of these expense types and answers is true?
a. Fixed expenses - change each month
b. Periodic fixed expenses - are monthly expenses like your water bill and electric or gas bill.
c. Flexible expenses - monthly expenses whose cost is the same each month
d. Indebtedness expense - minimum monthly payments you make on your loans and credit cards
The expense type which is true is , indebtedness expense as because they are the minimum monthly payments you make on your loans and credit card.
Being in debt to someone else or owing them money is the state of being indebted. A person who owes money has either borrowed money or obtained goods or services in exchange for a promise to repay the money.
Someone can owe money for both present-day obligations and obligations that they anticipate having in the future. For instance, the term "indebtedness" can relate to a person's mortgage or a car loan.
The majority of people cannot afford to buy a home or a car outright, thus they owe the bank the amount of the loan that was granted to them. When you use a credit card to make purchases like apparel or travel expenses, you become indebted. Being in debt is not the same as not making payments.
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Help guysss happy holidays
The Type of taxation system in this table represent is Option C Regressive Tax.
What is Taxation System?Taxation System is an obligatory fee or financial charge is referred to as a tax when it is imposed by a government on a person or an organisation in order to raise money for public projects that fund the greatest services and infrastructure. Various public spending programmes are then funded with the money that was gathered.
Type of Taxation
There are mainly four types of Taxes, these are Regressive, progressive, Indirect, and Proportional. In the given question the Regressive Taxation system is represented.
A Regressive Taxation system is one where Companies which have lower income have higher tax rate in comparison to big companies. In the given question the company which have lowest income is giving 15% of total income, while the largest company is giving 10% of their income.
Therefore, taxation system in this table represent is Option C Regressive Tax.
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Simplify the expression:
5t+
–
9+
–
8t+
–
5
The expression 5t + (-9) + (-8t) + (-5) in the simplified form will be negative (3t + 14).
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ 5t + (-9) + (-8t) + (-5)
Simplify the expression, then the value of the expression is given as,
⇒ 5t + (-9) + (-8t) + (-5)
⇒ 5t - 9 - 8t - 5
⇒ – 3t – 14
⇒ – (3t + 14)
The expression 5t + (-9) + (-8t) + (-5) in the simplified form will be negative (3t + 14).
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chi-square tests are used for testing hypotheses of the association between two categorical values.
true
false
The given statement " chi-square tests are used for testing hypotheses of the association between two categorical values. " is true
The term chi square test defines if there is a significant relationship between two nominal variables.
Here we have given the statement, chi-square tests are used for testing hypotheses of the association between two categorical values.
And we need to find whether the statement is true or not.
As per the definition of chi square test, we know that the frequency of each category for one nominal variable is compared across the categories of the second nominal variable.
Here we also know that the data can be displayed in a contingency table where each row represents a category for one variable and each column represents a category for the other variable.
Therefore, based on these facts the given statement is true.
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What is the length of segment AB? (4 points) A coordinate plane is shown. Point A is located at 0, 12, and point B is located at 5, 0. The two points are connected by a line segment. 10 12 13 15
The length of segment AB is 13 units.
What is the distance formula?The distance between the two points (a,b) and (c,d) is given by:
[tex]d=\sqrt{(c-a)^2+(d-b)^2}[/tex].
The given coordinates of A and B are A(0,12) and B(5,0).
The length of segment AB is given by:
[tex]AB = \sqrt{(5-0)^2 + (0 - 12)^2}\\\\AB=\sqrt{25 + 144}\\\\AB = \sqrt{169}\\\\AB = 13[/tex]
Hence, the length of segment AB is 13 units.
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For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error ......... as the margin of error increases.
a. stays the same
b. increases
c. decreases
The minimum sample size needed to guarantee a given margin of error increases , the correct option is (b) .
What is Margin Of Error ?
The term margin of error is defined as an estimate of a small sample that is drawn from a relatively large population data.
the margin of error is usually governed by the parameters such as the standard deviation , sample size and desired confidence level.
to find missing term in the given statement , let us consider the values ,
where σ ⇒ Standard deviation for population
and m as "Margin of error" and Z as "Empirical value of Z-score" at a given confidence level .
So , minimum sample size for given confidence level is given by
⇒ (Z×σ)²/m²
from above formula we can conclude that minimum sample size is directly related to population's standard deviation.
Therefore, the minimum sample size required would "increase" with the increase in population "standard deviation" .
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What is the value of x?
Answer: 71
Step-by-step explanation:
Calculate c, ∠B, and ∠A based on given b, a, and ∠C.c = √b2 + a2 - 2ba·cos(C) = 13.67386∠B = arccos(c2 + a2 - b22ca)= 1.23918 rad = 71°∠A = arccos(c2 + b2 - a22cb)= 1.23918 rad = 71°
An airline finds that about 888 percent of the time, a person who makes an advance reservation does not keep the reservation. Therefore, for each of their 105105105-passenger planes, the company schedules 113113113 people with advance reservations. Based on this information, about how many of the scheduled people will not keep their reservation?.
Persons cannot be in decimals we can expect about 9 passengers will not keep their reservation.
Given,
In the question:
An airline finds that about 8 percent of the time, a person who makes an advance reservation does not keep the reservation.
Therefore, for each of their 105105105-passenger planes, the company schedules 113113113 people with advance reservations.
Now, According to the question:
Capacity of the airline per trip = 105 only
But company schedules = 113 people with advance reservations
Since 8% do not turn up
Out of 113 passengers who reserved in advance we can say
that 8% of 113 passengers will not keep their reservation
Based on this information, number of the scheduled people will not keep their reservation
= 8% x 113
= 0.08*113
=9.04
Hence, Persons cannot be in decimals we can expect about 9 passengers will not keep their reservation.
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Please help me thank you
The slope of NO is 2/3 and the slope of LO is -3/2 after using the slope formula.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The parallel lines have same slope
The slope of LM = the slope of NO
The slope of LM = (-1-(-5))/(4-(-2))
The slope of LM = 4/6 = 2/3
Slope of NO = 2/3
If LMNO is rectangle:
The slope of LO = -1/(slope of LM)
The slope of LO = -1(2/3)
The slope of LO = -3/2
Thus, the slope of NO is 2/3 and the slope of LO is -3/2 after using the slope formula.
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please help on all PLEASE IM BEGGING YOU I CANT FAIL PLEASE
61=7-6x
3/2a -26=-5
4=n-10/-3
system of equations: n=2/3 ,a=14,x=−9
for each thing: x= −9 | a= 14 | n= 2/3
1. x = -9
2. a = 14
3. n = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:Here are the steps to the first question:1. Rearrange Terms
61 = 7 - 6x
61 = -6x + 7
2. Subtract 7 from both sides
61 = -6x + 7
61 - 7 = -6x + 7 - 7
3. Simplify
Subtract the numbers:
61 - 7 = -6x + 7 - 7
54 = -6x + 7 - 7
Subtract the numbers:
54 = -6x + 7 - 7
54 = -6x
4. Divide both sides by the same factor
54 = -6x
[tex]\frac{54}{6}[/tex] = [tex]\frac{-6x}{-6}[/tex]
5. Simplify
Divide the numbers:
[tex]\frac{54}{6}[/tex] = [tex]\frac{-6x}{-6}[/tex]
-9 = [tex]\frac{-6x}{-6}[/tex]
Cancel terms that are in both the numerator and denominator:
-9 = [tex]\frac{-6x}{-6}[/tex]
-9 = x
Move the variable to the left:
-9 = x
x = -9
Solution to Question 1:x = -9
Here are the steps to the second question:
1. Combine multiplied terms into a single fraction
[tex]\frac{3}{2}[/tex]a - 26 = -5
[tex]\frac{3a}{2}[/tex] - 26 = -5
2. Find common denominator
[tex]\frac{3a}{2}[/tex] - 26 = -5
[tex]\frac{3a}{2}[/tex] + [tex]\frac{2(-26)}{2}[/tex] = -5
3. Combine fractions with common denominator
[tex]\frac{3a}{2}[/tex] + [tex]\frac{2(-26)}{2}[/tex] = -5
[tex]\frac{3a+2(-26)}{2}[/tex] = -5
4. Multiply the numbers
[tex]\frac{3a+2(-26)}{2}[/tex] = -5
[tex]\frac{3a - 52}{2}[/tex] = -5
5. Multiply all terms by the same value to eliminate fraction denominators
[tex]\frac{3a - 52}{2}[/tex] = -5
2 · [tex]\frac{3a - 52}{2}[/tex] = 2(-5)
6. Cancel multiplied terms that are in the denominator
2 · [tex]\frac{3a - 52}{2}[/tex] = 2(-5)
3a - 52 = 2(-5)
7. Multiply the numbers
3a - 52 = 2(-5)
3a - 52 = -10
8. Add 52 to both sides
3a - 52 = -10
3a - 52 + 52 = -10 + 52
9. Simplify
Add the numbers:
3a - 52 + 52 = -10 + 52
3a = -10 + 52
Add the numbers:
3a = -10 + 52
3a = 42
10. Divide both sides by the same factor
3a = 42
[tex]\frac{3a}{3}[/tex] = [tex]\frac{42}{3}[/tex]
11. Simplify
Cancel terms that are in both the numerator and denominator:
[tex]\frac{3a}{3}[/tex] = [tex]\frac{42}{3}[/tex]
a = [tex]\frac{42}{3}[/tex]
Divide the numbers:
a = [tex]\frac{42}{3}[/tex]
a = 14
Solution to Question 2:
a = 14
Here are the steps to the third question:
1. Divide the numbers
4 = n + [tex]\frac{-10}{-3}[/tex]
4 = n + [tex]\frac{10}{3}[/tex]
2. Subtract [tex]\frac{10}{3}[/tex] from both sides
4 = n + [tex]\frac{10}{3}[/tex]
4 - [tex]\frac{10}{3}[/tex] = n + [tex]\frac{10}{3}[/tex] - [tex]\frac{10}{3}[/tex]
3. Simplify
Subtract the numbers:
4 - [tex]\frac{10}{3}[/tex] = n + [tex]\frac{10}{3}[/tex] - [tex]\frac{10}{3}[/tex]
[tex]\frac{2}{3}[/tex] = n + [tex]\frac{10}{3}[/tex] - [tex]\frac{10}{3}[/tex]
Subtract the numbers:
[tex]\frac{2}{3}[/tex] = n
Move the variable to the left:
[tex]\frac{2}{3}[/tex] = n
n = [tex]\frac{2}{3}[/tex]
Solution to Question 3:n = [tex]\frac{2}{3}[/tex]
I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!
The ratio of two numbers is 5:6. The product of these numbers is 120. What is the smaller of these two numbers?
The smaller of the two number is 10.
What are Ratios?
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.
In simple words, the ratio is the number that can be used to express one quantity as a fraction of the other ones. The two numbers in a ratio can only be compared when they have the same unit. We make use of ratios to compare two things.
Given:
Ratio of two Positive number = 5:6
Let , the smaller number be 5x
then , the bigger number = 6x
According to the question,
product of these numbers = 120
Therefore,
[tex]5x * 6x = 120\\30x^{2} = 120\\x^{2} =4\\x = 2[/tex]
Smaller number = 5x = 5*2 = 10.
Hence, the smaller of the two number is 10.
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How many liters of a 10% salt solution must be mixed with 5 liters of a 40% salt solution
to give a 15% solution?
Write an equation of the line in point plice form, through the point (4,-1) and ha a lope a 6
The equation of the line will be y = 6x - 25
Given, the point is (4, -1)
The slope is m = 6.
We have to write an equation of the line in slope-intercept form.
The standard form of equation of the line in slope-intercept form is given by
y = mx + c
Where, m is the slope.
Now, substituting the values of x, y and m in the equation,
-1 = 6(4) + c
-1 = 24 + c
c = -1 - 24
c = -25
Put the value of c in the standard equation,
y = 6x - 25
Therefore, the equation of the line is y = 6x - 25
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help pls
P = mgh for m
Answer:
p/gh=m
Step-by-step explanation:
divide both sides by gh to isolate m
Write an equation of the line that passes through $\left(7,10\right)$ and is perpendicular to the line $y=\frac{1}{2}x-9$.
The equation of the line that passes through (7, 10) and its perpendicular to the line y = (1/2)x - 9 is y = -2x + 24
The coordinates of the line passing through the point = (7, 10)
The equation of the perpendicular line
y = (1/2)x - 9
The slope of the line = 1/2
The slope of the original line = - 1 / (1/2)
= -1 × 2
= -2
The slope intercept form is
y = mx + b
Substitute the values in the equation and find the value of b
10 = -2(7) + b
10 = -14 + b
b = 10 + 14
b = 24
Substitute the value of b and m is the equation
y = -2x + 24
Therefore, the slope of the line is y = -2x + 24
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PLEASE HELP ME ASAP!!!
Answer:
$54,742.76
Step-by-step explanation:
The equation for an exponential function is [tex]f(x)=ab^x\\[/tex], where [tex]a[/tex] is the starting value, which is 40,000. This value increases by 4%, so [tex]b[/tex] is 1.04. Finally, [tex]x[/tex] is the term that the value is increasing for, which in this case is 8.
So, the equation is [tex]f(x)=40000*1.04^8[/tex]
** [tex]f(x)[/tex] can be replaced with [tex]y[/tex]
1. (*) Tres amigos, Alex, Beto y Valentín, van al cine y se sientan en una fila de tres asientos contiguos vacíos. Si se sabe que:
• Alex se sienta adyacente a Beto y Valentín.
• Valentín se sienta a la derecha de Beto.
¿Cuál es el orden en que se sientan dichos amigos, empezando de izquierda a derecha?
Beto, Alex, Valentín
O Valentín, Beto, Alex
Valentín, Alex, Beto
O Alex, Valentín, Beto
By using the concept of arrangement, it can be concluded that-
The correct order is Beto, Alex, Valentin
What is arrangement?The act of arranging people and things towards a certain goal is referred to as arrangement. the arrangement or arrangement of details in a written work. Readers to whom a piece of writing is addressed; those who read or hear what you have written.
Why is writing arrangement crucial?Your reader could feel disoriented and lose interest if there is no obvious organizational structure. Your essay's organization will aid readers in making connections between the essay's body and thesis, as well as help you stay on task as you plan and compose the essay.
It is known that:
• Alex sits next to Beto and Valentin.
• Valentin sits to the right of Beto.
So the correct order is Beto, Alex, Valentin
To learn more about arrangement, refer to the link-
https://brainly.com/question/29054671
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a linear function has slope of -5/3. What does the slope tell us about the graph of the function
Answer:
Step-by-step explanation:
The slope of a linear function is a measure of the rate at which the value of the function changes as the input (x) changes. A slope of -5/3 means that for every 3 units of change in the input, the output (y) changes by -5 units.
In general, a negative slope indicates that the graph of the function is decreasing. As the input increases, the output decreases. A slope of -5/3 is a relatively steep negative slope, which means that the graph of the function will have a steep downward slope.
A slope of -5/3 also tells us that the function is not a horizontal line. A horizontal line has a slope of 0, which means that the output does not change as the input changes. A slope of -5/3 is not equal to 0, which means that the function is not a horizontal line.
Overall, the slope of a linear function tells us about the direction and steepness of the graph of the function. A slope of -5/3 indicates that the graph of the function is decreasing and relatively steep.