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In a direct variation, y=9 when x=3. A direct variation equation that shows the relationship between x and y is y=3x

What do you mean by direct variation?

Direct variation is a type of proportionality when one quantity changes right away in reaction to a change in another variable. This implies that if one number rises, the other will follow suit in a comparable manner. Similar to the last illustration, if one quantity decreases, the other quantity also decreases. Direct variation will have a linear relationship with the graph, resulting in a straight line.

Given,

In a direct variation, y=9 when x=3.

Formulate an equation based on the conditions stated: y=kx

We put the value of the y and x in this equation

9=k*3

Subtract the coefficient of the variable from both sides of the equation

k= 3

We can write the equation of the function by putting the value of k:  y=3x

Hence the correct answer is y=3x

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the range of starting salary for an editor at this textbook company is between $38,500 and $41,100.

How to determine and what is a textbook company?

To determine if a salary is within the range of $1300 below the average starting salary of $39800, we can use the following inequality:

39800 - 1300 < S < 39800 + 1300

Simplifying this inequality, we get:

38500 < S < 41100

Therefore, the range of starting salary for an editor at this textbook company is between $38,500 and $41,100.

A textbook company is a publishing company that specializes in creating and producing textbooks, workbooks, study guides, and other educational materials for students of various levels, such as elementary, middle, high school, and college.

Textbook companies often work with authors, educators, and subject matter experts to develop content for their publications.

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Answer:

X=5 Y=-4

Step-by-step explanation:

Answer: 9/13 ==> A

Step-by-step explanation:

sin is between 0 and 1 if 0° < theta < 180° ==> sin is positive when y is positive

sin is between -1 and 0 is 180° < theta < 360° ==> sin is negative when y is negative

sin theta * csc theta = 1

sin theta * 13/9=1

sin theta * 13/9 * 9/13 = 1 * 9/13

sin theta = 9/13 ==> A

Answer:

(32, 8)

Step-by-step explanation:

Substitute 4y for x in x + y = 40 and solve for y. Then find x.

\(4y + y = 40\)

\(5y = 40\)

\(y = 8\)

\(x = 4(8) = 32\)

Answer:

x = 2.4

Step-by-step explanation:

4x + 5 / x + 7
combine like terms

X + 4x = 5x

5 + 7= 12

12/ 5x

Divide

12 /5= 2.4

X= 2.4

The value of cos(45°) is √2/2. The correct answer choice is D. √2.

In the given diagram, the angle labeled as 45° is part of a right triangle. To find the value of cos(45°), we need to determine the ratio of the adjacent side to the hypotenuse.

Since the angle is 45°, we can assume that the triangle is an isosceles right triangle, meaning the two legs are congruent. Let's assume the length of one leg is x. Then, by the Pythagorean theorem, the length of the hypotenuse would be x√2.

Now, using the definition of cosine, which is adjacent/hypotenuse, we can substitute the values:

cos(45°) = x/(x√2) = 1/√2

Simplifying further, we rationalize the denominator:

cos(45°) = 1/√2 * √2/√2 = √2/2

Therefore, the value of cos(45°) is √2/2.

The correct answer choice is D. √2.

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Answer:

2/3

Step-by-step explanation:

Slope is rise/run

If you choose a point, go up 2 times and right 3 times, you'll end up at another point.

Answer:

Step-by-step explanation:

This is the formula to find the sum of the first

n

terms of the sequence. To evaluate it, the values of the first and

n

the terms must be found .Sn=n2⋅(a1+an)

This is an arithmetic sequence since there is a common difference between each term. In this case, adding

6

to the previous term in the sequence gives the next term. In other words,

an=a1+d(n−1)x Arithmetic Sequence:

d=6 This is the formula of an arithmetic sequence X an=a1+d(n−1)Substitute in the values of a1=4 and d=6 x an=4+(6)(n−1)Simplify each term.

an=4+6n−6 Subtract 6 from 4 x an=6n−2 Substitute in the value of N to find the N the term x a5=6(5)−2 Multiply 6 by 5 x a5=30−2 Subtract 2 from 30 x a5=28 Replace the variables with the known values to find

S5 x S5=52⋅(4+28)Add 4 and 28 x S5=52⋅32

Cancel the common factor of

2.

S5=5⋅16 Multiply 5 by 16 x S5=80

Convert the fraction to a decimal.

S5=80

In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.

To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.

Here are the vocabulary words and their corresponding examples:

Vocabulary Word: In-state

Example: A student who is a resident of the same state where the university is located.

They pay lower tuition fees compared to out-of-state or foreign students.

Vocabulary Word: Out-of-state

Example: A student who is not a resident of the state where the university is located.

They typically pay higher tuition fees compared to in-state students.

Vocabulary Word: Foreign

Example: A student who is from a country other than the country where the university is located.

They are international students who may have different visa requirements and tuition fees.

To match these vocabulary words with their corresponding examples:

In-state: A student from the same state as the university, paying lower tuition fees.

Out-of-state: A student from a different state than the university, paying higher tuition fees.

Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.

By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.

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Answer:

answer is c

Step-by-step explanation:

you have to find x first and try any of the equation if you get y and it is the same of the graph and thats the answer

Answer:

55

Step-by-step explanation:

\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)

Make sure to always round up the required sample size to the nearest integer!

The statement is called assertive communication.

Communication is a means by which we send or receive information from other individuals or gadgets (computers).

There are 4 main types of categories of communication which include:

Assertive communication is the category that makes use of the "I" statement.

To be an assertive communicator, statements are made to express one's feelings without blaming or judging other people.

This method of communication helps open lines of communication between individuals because assertive communicator understands how others work.

Therefore, a statement that expresses one's feelings without blaming or judging other people is called assertive communication.

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Answer: $72

Step-by-step explanation:

x = money M had before he bought the hat

0.25x = 18

x = 18/.25 = 72

The equivalent expressions are given below;

a) x²+3x+5

b) x²-3x+5

c) 3x³+15x

d)  x²+5/3x

Given the following function

f(x)=x²+5 and;

g(x)=3x

a) (f + g)(x) = f(x) + g(x)

(f + g)(x) = x²+5 + 3x

(f + g)(x) = x²+3x+5

b)  (f - g)(x) = f(x) - g(x)

(f - g)(x) = x²+5 - 3x

(f - g)(x) = x²-3x+5

c) (f * g)(x) = f(x) * g(x)

(f * g)(x) = 3x(x²+5)

(f * g)(x) = 3x³+15x

d) (f/g)(x) = f(x)/g(x)

(f/g)(x) = x²+5/3x

This expressions gives the equivalent answer.

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Answer:

180=34+4x+90

180=124+4x

4x=56

X=14

The taxi ride was 7 miles

Mia took a taxi from her house to the airport

The taxi charged a pick up fee of $1.30

They also charged $4.25 per mile

The total fare was $31.05

The number of miles can be calculated as follows

31.05 - 1.30 = 4.25x

29.75= 4.25x

Divide both sides by the coefficient of x which is 4.25

29.75/4.25= 4.25x/4.25

x= 7

Hence the taxi ride was 7 miles

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The complete table is drawn below , and from the table we can say that the  relationship between the number of days and the cost is proportional .

In the question ,

it is given that Charge for 20 days = 1400

So , the charge for 1 day = 1400/20 = 70

hence the charge for 15 days  =  15*70 =1050

given for amount 1400 the car can be rented for = 20 days

So, for amount 1 the car can be rented for = 20/1400 = 1/70 days

hence for amount 1820 the car can be rented for = 1820/70 = 26 days .

Therefore , The complete table is drawn below , and from the table we can say that the  relationship between the number of days and the cost is proportional .

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Answer:

B) x = 5sqrt2, y = 5

Step-by-step explanation:

(y) is equal to 5 because both angles are 45 degrees.

From here you can use the Pythagorean theorem to find (x):

a^2+b^2 = c^2

5^2+5^2 = c^2

25+25 = c^2

50 = c^2

sqrt50 = c

5sqrt2 = c (c is x in this case)

Answer:

its a

Step-by-step explanation:

Answer:

3.665

Step-by-step explanation:

The equation of the line in slope intercept form is y = 1 / 5 x + 7.

The equation of a line can be represented in slope intercept form as follows:

y = mx +  b

where

Therefore, let's find the slope of the line as follows:

using (0, 7) and (5, 8)

m = 8 - 7 / 5 - 0

m = 1 / 5

m = 1 / 5

Therefore, let's find the y-intercept using (0, 7).

Hence,

y = 1 / 5 x + b

7 = 1 / 5 (0) + b

b = 7

Therefore, the equation of the line is y = 1 / 5 x + 7

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The speed of the car is 108 kilometers per hour and the distance covered in 5 hours is 540 kilometers.

Speed is simply referred to as distance traveled per unit time.

It is expressed as;

Speed = Distance ÷ time.

Given that the car is traveling at a rate of 30 meters per second.

First, convert the car's speed from meters per second to kilometers per hour using the conversion factor.

1 kilometer = 1000 meters

1 hour = 3600 seconds

Hence;

Speed = 30m/s = ( 30 × 3600/1000 )kmh

Speed = 108 kmh

Next, the distance covered in 5 hours will be:

Speed = Distance / time

Distance = speed × time

Distance = 108 kmh × 5 h

Distance = 540 km

Therefore, the disatnce covered is 540 kilometers.

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Answer:

$21473.33

Step-by-step explanation:

Let the original price be x

76% discount gives $153.60

This means 24/100 * x = $153.60

X= 153.60 * 100 /24 = $21473.33

The original price of the sofa is $21473.33.

Discount is the difference in price between the selling price of an object and the price listed on the object marked price.

Given that, a sofa is being sold for $153.60, which was on the 76% discount.

Let the original price be x,

x - 76% of x = $153.60,

⇒ 24/100 · x = $153.60

⇒ x = 153.60 · 100 /24 = $21473.33

Hence, the original price of the sofa is $21473.33.

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\(\huge\text{Hey there!}\)

\(\large\boxed{\mathsf{\dfrac{10}{6}\rightarrow \dfrac{10\div2}{6\div2}\rightarrow \bf \dfrac{5}{3} \rightarrow 1\dfrac{2}{3}}}\)

\(\large\boxed{\mathsf{\dfrac{18}{6}\rightarrow\dfrac{18\div3}{6\div3}\rightarrow \bf \dfrac{6}{2}\rightarrow \dfrac{3}{1}\rightarrow 3}}\)

\(\large\boxed{\mathsf{\dfrac{15}{6}\rightarrow \dfrac{15\div3}{6\div3}\rightarrow\bf \dfrac{5}{2}\rightarrow 2 \dfrac{1}{2}}}}\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

\(5x^5+5xyz+7xy+8x\)

Step-by-step explanation:

When putting an equation in standard form, you always prioritize the term with the most variables - unless terms have a greater exponent.

The prioritization order is:

Exponents

Amount of variables

Value of coefficient

So, \(5x^5\) is the only term with an exponent in this expression, so it will go first.

Next up, we have to choose between \(8x\), \(5xyz\), and \(7xy\). We know that \(5xyz\) has more variables than the other ones, so it goes next.

Now we're left with \(7xy\) and \(8x\). \(7xy\) has more variables than \(8x\), so it goes next.

This leaves \(8x\) last.

So, the expression becomes \(5x^5+5xyz+7xy+8x\).

Hope this helped!

Answer:

(3x+1)^2

Step-by-step explanation:

Answer:

approx 41.6%

Step-by-step explanation:

Answer:

41.7%

Step-by-step explanation:

First, you will divide 20 by 48.

\(20/48=0.4167\)

Secondly, you would multiply by 100%

\(0.4167* 100= 41.67%\)%

If you round to the nearest whole number it would give you \(42\)%. If it is rounded to the nearest tenth it would be \(41.7%\)%

Answer:

20 feet po yan po yung sagot