Mathematics College

Determine the equation

Answers

Answer 1

Answer:

y=12.5x+25

Step-by-step explanation:

y intercept where x =0 is 25

gradient between two points: (0,25) , (8,125)

(y2-y1)/(x2-x1) = 100/8 = 12.5

Related Questions

You have saved $14,000 for a down payment on a house. Your bank requires a minimum down payment of 17%. What is the maximum price you can offer for a home in order to have enough money for the down payment? (Round your answer to two decimal places.)

Answers

The maximum price you can offer for a home is approximately $82,352.94 for a 17% down payment.

To determine the maximum price you can offer for a home, you need to calculate 17% of the total price, which will be your down payment of $14,000.

Let's assume the maximum price you can offer for the home is P dollars.

According to the given information, the down payment requirement is 17% of the total price. So, we can set up the following equation:

[tex]0.17P = $14,000[/tex]

To solve for P, divide both sides of the equation by 0.17:

P = $14,000 / 0.17

Calculating this expression, we find:

P ≈ $82,352.94

Therefore, the maximum price you can offer for a home in order to have enough money for the 17% down payment is approximately $82,352.94.

For more questions on down payment

https://brainly.com/question/1698287

#SPJ8

12x5/3 as a whole number or fraction in simplest form give answer In m2

Answers

12x5/3 simplifies to the whole number 20.

To simplify the expression 12x5/3, we need to perform the multiplication and division operations.

First, let's multiply 12 and 5:

12 * 5 = 60

Now, let's divide the result by 3:

60 / 3 = 20

Therefore, 12x5/3 simplifies to the whole number 20.

However, since you mentioned "In m2" in your question, it seems that there may be a variable involved. If the expression 12x5/3 represents an area in square meters, then we need more information about the variable x to provide a more specific answer.

for such more question on whole number

https://brainly.com/question/929808

#SPJ8

What is the standard form of the equation of f(x)?

Answers

Answer:

standered form is 0 of 0

Step-by-step explanation:

At the pharmacy, there are two shelves that contain customer prescriptions. frac(3,6) of the first shelf and frac(2,6) of the second shelf have been picked up by customers. How many shelves of prescriptions in total have been picked up? Add frac(3,6)+frac(2,6), and write the answer in lowest terms.

Answers

Step-by-step explanation:

5/6 is its lowest term because it cannot be divided any further

Leah left her house at time zero and drove to the store, which is 4 blocks away, at a speed of 1 block per minute. Then she stopped and went into the store for 2 minutes. From there, she drove in the same direction at a speed of 2 blocks per minute until she got to the bank, which is 4 blocks away from the store. She stopped at the bank for 7 minutes. Then she drove home at a speed of 1 block every minute. Make a graph of showing the number of blocks away from home that Leah is
x
x minutes after she leaves her house, until she gets back home.

Answers

According to the information, it can be inferred that Leah reaches a maximum distance of 8 blocks away from her house. Additionally, the journey takes 23 minutes.

How to graph Leah's journey information?

To graph the information for Leah's commute, we must take into account the distance (in blocks) and the time it takes her (in minutes) to travel to the bank and then return home.

In this case we must take into account the speed (blocks per minute) that Leah has because this modifies the time and distance that she will take in total. According to the above, the graph ascends, then remains stable for 2 minutes, then rises more steeply and remains stable for 7 minutes, finally descends to 0 steadily.

Learn more about charts in: https://brainly.com/question/26067256

#SPJ1

Which system of linear inequalities are represented by the graph

Answers

Answer:A system of linear inequalities in two variables includes at least two linear inequalities in the identical variables1. The solution to all inequalities and the graph of the linear inequality is the graph displaying all solutions of the system1. For example, the system of linear inequalities that is represented by the graph are: y<−12+5 and y≥x−1

Step-by-step explanation:

Can this be solved please

Answers

The completed contingency table that summarizes the classification of students by weight and gender is attached below.

How to determine probabilities?

a. For a randomly selected student, describe the following in words

W1 is an event in which a randomly selected student is obese.

P(W1) is the probability that a randomly selected student is obese.

b. The following probabilities: (Round the answers to 4 decimal places)

i. P(W2) = (42 + 55) / 173 = 0.574

ii. P(G1) = (76 + 76) / 173 = 0.500

iii. P(W1 and G2) = (76) / 173 = 0.440

iv. P(W3 or G2) = (30 + 22 + 76 + 76) / 173 = 0.884

v. P(W3 | G2) = (22) / (22 + 76) = 0.214

c. For the following:

i. W3 and G1 are not mutually exclusive. This is because there are students who are both obese and male. For example, the value in the cell (W1, G1) is 76.

ii. W3 and G1 are not independent. This is because the probability of being obese is different for male students than it is for female students. For example, the probability of being obese is 0.440 for male students, but it is only 0.130 for female students.

iii. W3 and W2 are not mutually exclusive. This is because there are students who are both underweight and normal. For example, the value in the cell (W2, W3) is 30.

iv. W3 and W2 are not independent. This is because the probability of being underweight is different for normal students than it is for obese students. For example, the probability of being underweight is 0.300 for normal students, but it is only 0.154 for obese students.

Find out more on probabilities here: https://brainly.com/question/30390037

#SPJ1

You deposit $2000 each year into an account earning 3% interest compounded annually. How much will you have in the account in 15 years?

Answers

After 15 years, you would have approximately $3,040.19 in the account.

To calculate the future value of the account after 15 years, we can use the formula for compound interest:

[tex]A = P(1 + r/n)^{(nt)[/tex]

Where:

A = the future value of the account

P = the initial deposit or principal amount

r = the annual interest rate (expressed as a decimal)

n = the number of times interest is compounded per year

t = the number of years

In this case, the initial deposit or principal amount (P) is $2000, the annual interest rate (r) is 3% or 0.03, the interest is compounded annually (n = 1), and the time period (t) is 15 years.

Plugging in the values into the formula, we have:

[tex]A = 2000(1 + 0.03/1)^{(1\times15)[/tex]

Simplifying the calculation:

[tex]A = 2000(1.03)^{15[/tex]

Using a calculator or computer software, we can evaluate this expression:

[tex]A \approx 2000(1.03)^{15}[/tex]

≈ 2000(1.52009438088)

≈ $3,040.19.

Therefore, after 15 years, you would have approximately $3,040.19 in the account.

This calculation assumes that you make the $2000 deposit each year without any changes or interruptions and that the interest rate remains constant at 3% compounded annually.

For similar question on compound interest.

https://brainly.com/question/24274034

#SPJ8

Complete the table by squaring each positive x-value listed.
x x2
2
3
4
5
6
7
8
9
10
11

Answers

Answer:

see attached

Step-by-step explanation:

You want the squares of the numbers 2 to 11.

Squares

The calculator output attached shows the squares of the numbers 2 through 11.

Additional comment

If your knowledge of multiplication tables extends through 10×10, then there is only one more you need to memorize here. It is actually a good idea to learn the squares of numbers through 20², and be able to identify the cubes of numbers through 10³. (12³ = 1728 is also useful for cubic inches in a cubic foot.)

<95141404393>

Let A = (1,3,4,6,8) B=(2.3.4.5.7)C= (1.2.6.9, 10) Find (a) A/B (B)B/A (C) A/C (D) C/A

Answers

Answer:

(a) A/B refers to the set of elements that are in A but not in B. So, A/B = {1, 6, 8}

(b) B/A refers to the set of elements that are in B but not in A. So, B/A = {2, 5, 7}

(d) C/A refers to the set of elements that are in C but not in A. So, C/A = {2, 9, 10}

Note: It's important to clarify what the "/" symbol means in set theory, which is the set difference operator. It represents the elements that are in the first set but not in the second set.

Which is a true statement about the number 1?
O One is a factor of every whole number since every number is divisible by itself.
O One is not a factor of any number because it is neither a prime number nor a composite number.
O One is a prime number because it has less than two factors.
O One is a composite number because it has more than two factors.

Answers

Answer: One is a factor of every whole number since every number is divisible by itself.

Step-by-step explanation: True statement

C-Math 1 CR
Determining Characteristics of a Translated Function from a
Table
The table below represents ordered pairs that satisfy the If f(x) = 4*, which statements are true of g(x)? Select
functions f(x) and g(x).
two options.
x
0
1
2
3
f(x)
1
4
16
64
g(x)
0
3
15
63
English
O g(x) = 4(x-1)
g(x)=4*-1
The graph is translated left 1 unit.
The graph is translated down 1 unit.
The graph is translated both horizontally and
vertically.
O The domain and range of g(x) is the same as the
domain and range of f(x).

Answers

The correct statement regarding the translation in this problem is given as follows:

The graph is translated down 1 unit.

What is a translation?

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.

The functions for this problem are given as follows:

[tex]f(x) = 4^x[/tex][tex]g(x) = 4^x - 1[/tex]

Due to the subtraction by 1, the function was translated down 1 unit.

More can be learned about translations at brainly.com/question/28174785

#SPJ1

Congratulations. You received a score of 3.4 on your annual review. Merit increases are given out starting at .5% at a score of 2.6 and it goes up 1% every .4 points. So, I will be receiving an increase of what?

Answers

Based on your annual review score of 3.4, you would receive a merit increase of 2.5%.

To determine the merit increase based on your annual review score of 3.4, we need to calculate the increase increment based on the given scale.

First, we need to determine the number of 0.4-point increments between your score of 3.4 and the baseline score of 2.6, which is the starting point for merit increases. The difference is 3.4 - 2.6 = 0.8.

Since the merit increases go up by 1% for every 0.4 points, we divide the difference of 0.8 by 0.4 to find the number of 0.4-point increments:

0.8 / 0.4 = 2

So, there are 2 increments of 0.4 points.

Next, we calculate the merit increase percentage. The baseline increase is 0.5%, and it increases by 1% for each 0.4-point increment. Since we have 2 increments, the increase percentage would be:

0.5% + 2 * 1% = 0.5% + 2% = 2.5%

Therefore, based on your annual review score of 3.4, you would receive a merit increase of 2.5%.

It's important to note that this calculation assumes a linear progression of merit increases based on the given criteria. The actual merit increase policy may vary depending on company practices and policies.

For more such question on annual review score visit:

https://brainly.com/question/28641970

#SPJ8

Solve P -12 equals -27 what is the value of P

Answers

To solve the equation P - 12 = -27, we can isolate the variable P by performing inverse operations.

First, we want to get rid of the -12 on the left side of the equation. Since -12 is being subtracted, we can perform the opposite operation, which is addition. Adding 12 to both sides of the equation, we have:

P - 12 + 12 = -27 + 12

This simplifies to:

P = -15

Therefore, the value of P that satisfies the equation is -15.

Answer:

Step-by-step explanation:

P - 12 = -27

add 12 on both sides

P - 12 + 12 = -27 + 12

P = - 15

Question 2 Height of the taller building is 500 metres above the ground, an observer in the taller building measures angles of depression at 12° and 25° to the top and bottom of the smaller building, respectively, as shown in the picture below. Find the height h of the smaller building. (5 marks)

Answers

When the height of the taller building is 500 metres above the ground and the angles of depression is at 12° and 25° , the height of the smaller building is approximately 125.84 meters.

How to find height of the smaller building

Find the height h of the smaller building using trigonometry

Let x and y be the distance between the two buildings and height of the observer in the taller building above the ground, respectively.

Then we have

[tex]tan(12^0) = h / (x + 500 - y)[/tex]

[tex]tan(25^o) = h / (x + 500 + y)[/tex]

Solve for h.

[tex]tan(12^o) * (x + 500 + y) = tan(25^o) * (x + 500 - y)[/tex]

By expanding and rearranging, we have

[tex]x = (h/tan(25^o) - h/tan(12^o)) / 2[/tex]

Substitute x into either of the original equations, we can solve for h:

[tex]h = (x + 500 - y) * tan(12^o)[/tex]

Plug in the value of x

[tex]h = ((h/tan(25^o) - h/tan(12^o)) / 2 + 500 - y) * tan(12^o)[/tex]

Multiply both sides by the common denominator of 2 * tan(12°)

[tex]2 * h * tan(12^o) = h * (1/tan(25^o) - 1/tan(12^o)) + (1000 - 2y) * tan(12^o)\\h = (1000 - 2y) * tan(12^o) / (2 * tan(12^o) - 1/tan(25^o) + 1/tan(12^o))[/tex]

Plug in the given values of y = 500

h = 125.84 meters

Therefore, the height of the smaller building is approximately 125.84 meters.

Learn more on Height of building on https://brainly.com/question/31074400

#SPJ1

(-15xz+4xy)+(20xy-9yz+16xz)

Answers

-15xz+16xz+4xy+20xy-9yz
=xz+24xy-9yz(Answer)

A, B and C are points on the axes as shown. The area of triangle ABC is 28 square units. Work out possible coordinates for A, B and C. Not drawn accurately

Answers

The possible coordinates of the vertex of the triangle is A = (0, 10), B = (0, - 4) and C = (4, 0).

What are the possible coordinates of the triangle?

The possible coordinates of the vertex of the triangle is calculated by applying the following formula.

A = ¹/₂bh

where;

b is the base of the triangleh is the height of the triangle

Let the base = 4 units and let the height of the triangle = 14

A = ¹/₂ x 4 x 14

A = 28 sq units

So the coordinates of A, B and C is determined as;

A = (0, 10)

B = (0, - 4)

C = (4, 0)

from coordinates above, AB = (10 + 4) = 14

OC = 4

Learn more about coordinates of triangles here: https://brainly.com/question/28758383

#SPJ1

) Find the gradient of a line joining the points 1) (1,-1) and (4,9) 2) (5,1)and(2-2) 2) Find the x and y intercepts for the equation 3y = 2x-2

Answers

The gradient of the line joining the points (1,-1) and (4,9) is 10/3, while the gradient of the line joining (5,1) and (2,-2) is 1. The x-intercept of the equation 3y = 2x - 2 is 1, and the y-intercept is -2/3. These calculations follow the formula for gradient and the methods for finding intercepts in linear equations.

1) To find the gradient of a line joining two points, you can use the formula: gradient = (change in y)/(change in x).
Given the points (1,-1) and (4,9), the change in y is 9 - (-1) = 10 and the change in x is 4 - 1 = 3.
Therefore, the gradient of the line joining these points is 10/3.
2) Similarly, to find the gradient of a line joining two points (5,1) and (2,-2), we can use the same formula. The change in y is -2 - 1 = -3 and the change in x is 2 - 5 = -3.
Therefore, the gradient of the line joining these points is -3/-3 = 1.
3) To find the x-intercept, we set y to 0 and solve for x.
Given the equation 3y = 2x - 2, if we substitute y with 0, we have 3(0) = 2x - 2, which simplifies to 0 = 2x - 2.
To solve for x, we can add 2 to both sides: 0 + 2 = 2x - 2 + 2, which gives us 2 = 2x.
Dividing both sides by 2, we get x = 1.
Therefore, the x-intercept of the equation 3y = 2x - 2 is 1.
To find the y-intercept, we set x to 0 and solve for y.
Using the same equation, if we substitute x with 0, we have 3y = 2(0) - 2, which simplifies to 3y = -2.
To solve for y, we can divide both sides by 3: (3y)/3 = (-2)/3, which gives us y = -2/3.
Therefore, the y-intercept of the equation 3y = 2x - 2 is -2/3.
For more such questions gradient,Click on

https://brainly.com/question/23016580

#SPJ8

Mr. Smith has a class of 17 students. He can spend $22 on each student to buy math supplies for the year. He first buys all of his students calculators, which costs a total of $83.64. After buying the calculators, how much does he have left to spend on each student?

Answers

Mr. Smith has $17 left to spend on each student.

What is an Equation?

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

The total number of students Mr. Smith has 17

The money he can spent on each student is $22

The total money he can spend is $22 · 17

Total cost of calculators is $83.64

Let x is the amount left to spend on each student.

The equation that can be formed is

[tex]17 \times \text{x} = 22\times17 - 83.64[/tex]

[tex]\text{x} = 22 - \huge \text(\dfrac{83.64}{17}\huge \text)[/tex]

[tex]\text{x} = 22 - 5[/tex]

[tex]\bold{x = \$17}[/tex]

Therefore, Mr. Smith has $17 left to spend on each student.

To know more about Equations, visit:

https://brainly.com/question/29657983

Mr. Smith has 17 students in his class.

He can spend $22 on each student to buy math supplies for the year.

The calculators cost a total of $83.64.

The total amount he has to spend on all 17 students is $22 x 17 = $374.

The amount he spent on calculators was $83.64.

So the amount he has left to spend is $374 - $83.64 = $290.36

He has $290.36 left to spend on 17 students.

Therefore, the amount he has left to spend on each student is $290.36 divided by 17 students, which is $17.07.

So the answer is: After buying the calculators, Mr. Smith has $17.07 left to spend on each student.

In summary:

$22 - Amount he can spend per student

$83.64 - Total cost of calculators

$374 - Total amount he has to spend on all 17 students ($22 x 17)

$290.36 - Amount he has left to spend after buying calculators ($374 - $83.64)

$17.07 - Amount he has left to spend on each student ($290.36 / 17 students)

The lengths of two sides of a right triangle are 5 inches and 8 inches. What is the difference between the two possible
lengths of the third side of the triangle? Round your answer to the nearest tenth.

2.4 inches

3.2 inches

10.0 inches

15.7 inches

Answers

The difference between the two possible lengths of the third side is 3.2 inches.

How to find the side of a right triangle?

The lengths of two sides of a right triangle are 5 inches and 8 inches. Therefore, the third side of the right triangle can be found using Pythagoras's theorem as follows:

Therefore,

c² = a² + b²

c = √5² + 8²

c = √25 + 64

c = √89

c = 9.43 inches

Then,

b² = 8² - 5²

b = √64 - 25

b = √39

b = 6.24 inches

Therefore,

the difference between the possible length = 9.43 - 6.24 = 3.2 inches

learn more on right triangle here: https://brainly.com/question/1452684

#SPJ1

which is rights answer?

Answers:
A) 242.88 minutes
B) 4.08 minutes
C) 3.48 minutes
D) 3.97 minutes

Answers

The population of the average length in 2013 is (b) 4.08 minutes

How to predict the average length in 2013

from the question, we have the following parameters that can be used in our computation:

The table of values

Using the least squares, we have the following summary

Sum of X = 9Sum of Y = 16.33Mean X = 1.5Mean Y = 2.7217Sum of squares (SSX) = 17.5Sum of products (SP) = 2.135

The regression equation is

y = mx + b

Where

m = SP/SSX = 2.14/17.5 = 0.122

b = MY - bMX = 2.72 - (0.12*1.5) = 2.53867

So, we have

y = 0.12x + 2.54

In 2013, we have

y = 0.12 * 13 + 2.54

y = 4.1

Hence, the prediction is (b) 4.08 minutes

Answers

The surface area of the solid of revolution is 1748.45 square units

Solving the integral for the surface area of the solid of revolution

From the question, we have the following parameters that can be used in our computation:

[tex]\int\limits^{\infty}_1 {(2\pi (16 - x^2)\sqrt{1 + (2x)^2}) \, dx[/tex]

The above expression can be integrated using integration by parts method

When integrated, we have

[tex]\int\limits^{\infty}_1 {(2\pi (16 - x^2)\sqrt{1 + (2x)^2}) \, dx = -\frac{{\pi}\cdot\left(\sqrt{4x^2+1}\left(16x^3-510x\right)-257\ln\left(\left|\sqrt{4x^2+1}+2x\right|\right)\right)}{32}[/tex]

Simplify

[tex]\int\limits^{\infty}_1 {(2\pi (16 - x^2)\sqrt{1 + (2x)^2}) \, dx = 2{\pi}\cdot\left(\frac{257arsinh(2x)}{64}-\frac{x\cdot\left(4x^2+1\right)^\frac{3}{2}}{16}+\dfrac{257x\sqrt{4x^2+1}}{32}\right)[/tex]

Simplify, further

[tex]\int\limits^{\infty}_1 {(2\pi (16 - x^2)\sqrt{1 + (2x)^2}) \, dx = \frac{{\pi}\cdot\left(257arsinh(2x)-4x\cdot\left(4x^2+1\right)^\frac{3}{2}+514x\sqrt{4x^2+1}\right)}{32}[/tex]

Recall that the x values are from -4 to 4

This means that

[tex]\int\limits^{\infty}_1 {(2\pi (16 - x^2)\sqrt{1 + (2x)^2}) \, dx = \frac{{\pi}\cdot\left(257arsinh \left(8\right)+1016\sqrt{65}\right)}{16}[/tex]

Evaluate

[tex]\int\limits^{\infty}_1 {(2\pi (16 - x^2)\sqrt{1 + (2x)^2}) \, dx = 1748.45[/tex]

Hence, the value of the integral is 1748.45

Answers

The distance the handler moves from the starting point to the return point when creating an arc of a circle with a radius of 70 feet is approximately 109.9 feet. C.

To calculate the distance the handler moves from the starting point to the return point when creating an arc of a circle with a radius of 70 feet, we need to find the length of a quarter circle.

The formula for the circumference of a circle is C = 2πr, where r is the radius.

Since we are interested in a quarter circle, we divide the circumference by 4.

Circumference of a quarter circle = (2π × 70) / 4

To calculate this value, we can use an approximation of π as 3.14:

Circumference of a quarter circle ≈ (2 × 3.14 × 70) / 4

Simplifying this expression gives:

Circumference of a quarter circle ≈ 109.9 feet

For similar questions on radius

https://brainly.com/question/24375372

#SPJ8

Final answer:

The handler will move approximately 109.9 feet, as this distance represents a quarter of the circumference of a circle with a radius of 70 feet.

Explanation:

The question is based on the circumference of a circle. The formula for the circumference of a circle is C = 2πr (where r = radius in feet). We are only interested in a quarter of the circumference for this scenario, meaning we must divide the full value by 4. So, we plug in the values given: C = (2 * π * 70) / 4.

The calculation will give us 110 feet approximately, hence the closest answer is the third one, which is 109.9 feet.

Learn more about Circumference of Circle here:

https://brainly.com/question/32793487

#SPJ11

Please help me.
I need the simplified fraction too thanks

Answers

The probability that a student chosen from the class at random has either ginger hair or blonde hair is given as follows:

19/28.

How to calculate a probability?

The parameters that are needed to calculate a probability are listed as follows:

Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For each outcome, the probability in this problem is given as follows:

Ginger hair: 5/14.Blonde hair: 9/28.

The probability for either is the sum of the probabilities of each outcome, hence:

5/14 + 9/28 = 10/28 + 9/28 = 19/28.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

Given f(x) = 5x − 7 and g(x) = −4x + 2, what is (f − g)(x)?

Answers

The expression (f - g)(x) simplifies to 9x - 9.

To find (f - g)(x), we need to subtract the function g(x) from the function f(x).

Given f(x) = 5x - 7 and g(x) = -4x + 2, let's perform the subtraction:

(f - g)(x) = f(x) - g(x)

Substituting the given functions:

(f - g)(x) = (5x - 7) - (-4x + 2)

To simplify the expression, we can distribute the negative sign inside the parentheses:

(f - g)(x) = 5x - 7 + 4x - 2

Combining like terms, we add the coefficients of x and the constants separately:

(f - g)(x) = (5x + 4x) + (-7 - 2)

Simplifying further:

(f - g)(x) = 9x - 9

Therefore, the expression (f - g)(x) simplifies to 9x - 9.

In summary, (f - g)(x) is equal to 9x - 9, which represents the result of subtracting the function g(x) from the function f(x) according to the given expressions for f(x) and g(x).

For similar question on expression.

https://brainly.com/question/25968875

#SPJ8

R(x) =2x. C(x) = 0.01x2 + 0.3x + 15, when x = 25 and
dx
= 7 units per day
dt

Answers

When x = 25 and dx = 7 units per day, the rate of change of time (dt) with respect to x is 1 / (7 units/day).

In the given scenario, we have two functions: R(x) and C(x). Let's use the given information to calculate the rate of change of x with respect to time (dt) when x = 25 and dx = 7 units per day.

To find the rate of change, we can differentiate the functions with respect to x. Let's differentiate both R(x) and C(x) to obtain their derivatives:

dR/dx = 2

dC/dx = 0.02x + 0.3

Now, we need to find dt, the rate of change of time with respect to x. To do this, we can use the chain rule of differentiation, which states that dt/dx = 1 / (dx/dt)

Given that dx = 7 units per day, we can calculate dx/dt:

dx/dt = 7 units/day

Now, we can find dt by taking the reciprocal:

dt/dx = 1 / (7 units/day)

Therefore, the rate of change of time with respect to x is 1 / (7 units/day).

Note that the units cancel out in the reciprocal operation, leaving us with units/day.

For more such question on rate of change visit:

https://brainly.com/question/25184007

#SPJ8

WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

A is the answer

Calculate the area of 3 rectangles

4x10=40 x 3 rectangles = 120

calculate the area of 2 triangles

A=1/2bh, since you have triangles, no need to divide by 2

base x height

4 x 3.5 = 14

Surface Area is 120 + 14 = 134

What is the value of q?

Answers

Answer:The value of Q can refer to different things depending on the context. In statistics, Q is defined as the ratio of the gap to the range, where both "gap" and "range" are positive. The larger the value of Q, the more likely that the suspected outlier does not belong to the same population as the other data points1. In nuclear physics, the Q-value of the reaction is defined as the difference between the sum of the masses of the initial reactants and the sum of the masses of the final products in energy units (usually in MeV)2. In statistics, a Q-value is a p-value that has been adjusted for the False Discovery Rate (FDR

Step-by-step explanation:

Find the volume of the cylinder Either answer an exact answer in terms of pi or use 3.14 for pi. Radius of 3 and height of 2

Answers

The volume of the cylinder is 56.52 cubic units

How to determine the volume of the cylinder

From the question, we have the following parameters that can be used in our computation:

Radius = 3 cmHeight = 2 cm

Using the above as a guide, we have the following:

V = πr²h

Substitute the known values in the above equation, so, we have the following representation

V = 3.14 * 3² * 2

Evaluate

V = 56.52

Hence, the volume is 56.52 cubic units

Answers

Answer: Please see attached images

(2nd image is the answer, 1st image is it worked out)

Step-by-step explanation:

You are given "Use synthetic division to divide [tex]x^3 + 6x^2 +15x + 24[/tex] by [tex]x + 3[/tex]"

1) You first take the coefficients from the expression, [tex]x^3 + 6x^2 +15x + 24[/tex], and place them in a row.

| 1 6 15 24

|__________________

2) Next you take the expression, x + 3, and take the last coefficient and put it to the left.

3 | 1 6 15 24

|__________________

3) Next you drop the 1 (this is the case for the first number of any synthetic division problem)

3 | 1 6 15 24

|__ ↓_______________

4) Now you multiply 3 and 1, then place that product under 6.

3 | 1 6 15 24

|__ ↓__ 3___________

5) Then you subtract the column: 6 - 3, and put the answer below

3 | 1 6 15 24

|__ ↓__ 3___________

1 3

6) Now you repeat this process (steps 4-5) but with the following numbers. So repeating step 4, You multiply 3 and 3, and put that product under 15.

3 | 1 6 15 24

|__ ↓__ 3__ 9________

1 3

7) Repeating step 5, you subtract the column: 15 - 9, and put the answer below.

3 | 1 6 15 24

|__ ↓__ 3__ 9________

1 3 6

8) Once again, you repeat steps 4-5. So repeating step 4, you multiply, 3 and 6, and you place the product under 24.

3 | 1 6 15 24

|__ ↓__ 3__ 9___18____

1 3 6

9) Repeat step 5, you subtract the column: 24 - 18, and put the answer below.

3 | 1 6 15 24

|__ ↓__ 3__ 9___18____

1 3 6 | 6

To find the quotient, that is result of the synthetic division but with its variables, and not including the remainder.

Quotient: [tex]x^2+3x+6[/tex]

The remainder is the remaining number that is at the bottom of the last column.

Remainder: 6

Other Questions