Find the slope of the
line perpendicular to
3x + y = 16

The time taken to complete the job alone by helper is 15 hours.

Given that:

a gardener can care for the greens property in 10 hours , if his helper assists him, they can complete the job in 6 hours.

Job done by both gardener and helper in 1 hour is 1/6.

Job done by only gardener in 1 hour is 1/10.

helper work = both work - gardener work

= 1/6 - 1/10

= 10 - 6 / 60

= 4/60

= 1/15

The reciprocal will gives 15 hours .

Hence the time taken to complete the job alone by helper is 15 hours.

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Joaquin will need 1 and two fifths cups to make his famous chocolate chip cookies for his friend's birthday party

To solve this problem we will use a rule of three with the problem information:

5 people-------- 1/4 cup of butter

28 people -------- x

Applying the rule of three we get:

x = ( 28 people * 1/4 cup of butter) / 5 people

x = 1,4 cup of butter

x = 1 + 2/5 cup of butter = 1 and two fifths cups

It describes the proportionality of 3 known data and an unknown data. When you have more than 3 known facts that are involved in the proportionality, it is known as a compound rule. The rule of three is also known as a direct proportions.

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Step-by-step explanation:

Red taxi : y = 2x + 2

Green taxi : y = x + 5

Y are the costs of a ride, X are the miles of a ride.

The y-intercepts are the cost of just getting into a cab.

So, that is $2 for a red cab and $5 for a green cab.

Every mile with a red cab costs $2, while every mile with a green cab costs $1.

Hope this helps :)

e

measure of center

as A measure that describes the typical value of a data set mean,median and mode.

Answer:

The answer is True! Just had this on a test.

Step-by-step explanation:

Answer:

a. 2 and 8x + 12

Step-by-step explanation:

16x + 24

Factor out 2

2(8x+12)

Area is length times width

2 * (8x+12)

Answer: a. 2 and 8x + 12

Step-by-step explanation:

Area of a rectangle is length times width.

(2)(8x+12) = 16x + 24

Given the equation of the function f(x)

We will divide f(x) by the factor (x-2)

We can use the long division or the synthetic division

We will use the long division as shown in the following figure:

So, the answer will be as follows:

Prediction problems where the variables have numeric values are most accurately defined as regressions.

Regression analysis is a set of statistical processes used in statistical modeling to estimate the relationships between a dependent variable and one or more independent variables.

Researchers can use regression to predict or explain variation in one variable based on another variable. Definitions include: The response variable is the variable that researchers are attempting to explain or predict. It is also known as the dependent variable because it is dependent on another variable.

Understanding linear regression is critical because it provides a scientific method for identifying and forecasting future outcomes. The ability to find and evaluate predictions can help many businesses and individuals by providing benefits such as optimized operations and detailed research materials.

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The value of positive integers in the set are 16.

According to the statement

we have given that the there is a set of numbers from 1 to n and we have to find that the how many integers in this set. and there is one condition that the numbers in the set are less than or equal to 24.

So, For this purpose,

Since \($1 + 2 + \cdots + n = \frac{n(n+1)}{2}$\)

the condition is equivalent to having an integer value for \($\frac{n!} {\frac{n(n+1)}{2}}$.\)

This reduces, when \($n\ge 1$\), to having an integer value for \($\frac{2(n-1)!}{n+1}$\)

This fraction is an integer unless n+1 is an odd prime. There are 8 odd primes less than or equal to 24,

so there are 24-8 = 16.

So, The value of positive integers in the set are 16.

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The numerical length of RT will be 20.

A line segment in geometry is bordered by two separate points on a line.

A line segment is sometimes referred to as a section of a line that links two places. The difference between a line and a line segment is that a line has no endpoints and can go on forever in any direction.

Given data in problem is;

ST=3x-8

RT = 4x

RS = 4x - 7

From the given line segment;

RT = RS +ST

4x =  4x - 7 + 3x-8

3x-8 = 7

3x=8+7

3x=15

x=5

The numerical length of RT is found as;

RT = 4x

RT= 4 × 5

RT = 20

Hence, the numerical length of RT will be 20.

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Answer:

A. 5 units

Step-by-step explanation:

since the y-coordinate is the same, then you would subtract the x-coordinates.

-6-(-1)=5

hope this helps, have a nice day :)

Answer:

Yes

Step-by-step explanation:

I just know Iololololololololol

Answer:

98 ° is measures angle x.Hope this helps you.

Answer:

x=6

Step-by-step explanation:

Answer:

6 (brainliest would be appreciated )

Step-by-step explanation:

-6x +3x =-10-18

-3x = -18

x=18/3

x=6

Answer:

5520 population after 5 years

Step-by-step explanation

5000*1,02^5 = 5520

hope i could help <3

Answer:

Step-by-step explanation:

Pi*r^2 = Area

20.5^2 * Pi = 1320.25

Answer: The numerator is the dividend

Step-by-step explanation:

Range for the relation is −7 ≤ y ≤ 3.

Correct option is B.

The set containing all the first elements of all ordered pairs of the relation R is called the domain of the relation. The set containing all the second elements is called the range of the relation.

First element is x-coordinate and second element is y-coordinate, in Cartesian plane.

Given,

Graph of the relation is as

First line segment goes from (-2, -7) to (0, 1)

Second line segment goes from (0, 1) to (4, 3)

y coordinate varies from -7 to 3

Range is the value of y-coordinate

Range of the relation

= -7 ≤ y ≤ 3

Hence, -7 ≤ y ≤ 3 is the range for the relation.

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Answer:

its C LOL

Step-by-step explanation:

4x1=4

12x4=48

4/48

1. (-1,2)

2.(0,10)

3.(1,50)

4.(2,250)

Step-by-step explanation:

Brainliest?

Step-by-step explanation:

I dont know man but I love the profile picture its from that brand new anime called "Wonder Egg priority" right?

a) To obtain the potential pressure drop in the wellbore, we can use the hydrostatic pressure equation.

The potential pressure drop is equal to the pressure gradient multiplied by the length of the wellbore. The pressure gradient can be calculated using the equation: Pressure gradient = (density of oil × acceleration due to gravity) × sin(θ), where θ is the deviation angle of the wellbore from horizontal flow. In this case, the pressure gradient would be (48 lbm/ft^3 × 32.2 ft/s^2) × sin(15°). Multiplying the pressure gradient by the wellbore length of 6,000 ft gives the potential pressure drop.

b) To determine the frictional pressure drop in the wellbore, we can use the Darcy-Weisbach equation. The Darcy-Weisbach equation states that the pressure drop is equal to the friction factor multiplied by the pipe length, density, squared velocity, and divided by the pipe diameter. However, to calculate the friction factor, we need the Reynolds number. The Reynolds number can be calculated as (density × velocity × diameter) divided by the oil viscosity. Once the Reynolds number is known, the friction factor can be determined. Finally, using the friction factor, we can calculate the frictional pressure drop.

c) To calculate the in-situ oil velocity, we need to consider the total volume of the pipe, including both oil and gas. The total pipe volume is calculated as the pipe cross-sectional area multiplied by the wellbore length. Subtracting the gas volume from the total volume gives the oil volume. Dividing the oil volume by the total time taken by the oil to flow through the pipe (converted to seconds) gives the average oil velocity.

d) The flow regime of the two-phase flow can be determined based on the oil and gas mixture properties and flow conditions. Common flow regimes include bubble flow, slug flow, annular flow, and mist flow. These regimes are characterized by different distribution and interaction of the oil and gas phases. To determine the specific flow regime, various parameters such as gas and liquid velocities, mixture density, viscosity, and surface tension need to be considered. Additional information would be required to accurately determine the flow regime in this scenario.

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The number of customers waiting in line at the bank over a 24-hour period is a discrete variable type.

A variable whose value is determined by counting is referred to as a discrete variable. examples: the number of pupils in attendance. how many red marbles are in the container. when triple coins are turned, the count of heads. The number of pupils, kids, the shoe size, and so forth are some typical examples of discrete data. A statistical variable is referred to as a discrete variable if it presupposes a finite collection of data and a countable number of values. Contrarily, a continuous variable is a quantitative variable that accepts an endless quantity of data and an uncountable number of values.

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The distance between A and B is approximately 8.06 units.

In order to find the distance, d, of AB, we need to use the distance formula. The distance formula gives us the distance between two points in a coordinate plane. It is given as:$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$ where (x1, y1) and (x2, y2) are the coordinates of the two points in question.

In this case, A and B are the two points for which we need to find the distance. Let's assume that the coordinates of A are (x1, y1) and the coordinates of B are (x2, y2).

Then the distance formula becomes:

$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$

$$d = \sqrt{((8 + 4) - 2)^2 + ((5 - 1) - 3)^2}$$

$$d = \sqrt{(10 - 2)^2 + (4 - 3)^2}$$

$$d = \sqrt{(8)^2 + (1)^2}$$

$$d = \sqrt{64 + 1}$$

$$d \approx \sqrt{65}$$

$$d \approx 8.06$$

Therefore, the distance between A and B is approximately 8.06 units.

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The probability that a student who has an A is a male is 60%.

To find the probability that a student who has an A is a male, we need to calculate the ratio of the number of male students with an A to the total number of students with an A.

Given that there are 19 students in total, and 6 of them are female, we can determine that there are 19 - 6 = 13 male students. Out of these male students, 7 do not have an A. Therefore, the number of male students with an A is 13 - 7 = 6.

Now, we know that there are 10 students in total who have an A. Therefore, the probability that a student with an A is a male can be calculated as the ratio of the number of male students with an A to the total number of students with an A:

Probability = Number of male students with an A / Total number of students with an A

Probability = 6 / 10

Probability = 0.6 or 60%

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The error in performing the operation and writing the answer in standard form is in the step where -21² is calculated incorrectly as -21². The correct calculation for -21² is 441.

Corrected Solution:

To correct the error and accurately perform the operation, let's go through the steps:

Step 1: Expand the expression using the distributive property:

(3 + 2i)(5 - 1) = 3(5) + 3(-1) + 2i(5) + 2i(-1)

= 15 - 3 + 10i - 2i

Step 2: Combine like terms:

= 12 + 8i

Step 3: Write the answer in standard form:

The standard form of a complex number is a + bi, where a and b are real numbers. In this case, a = 12 and b = 8.

Therefore, the correct answer in standard form is 12 + 8i.

The error occurs in the subsequent steps where -21² and 2¡² are calculated incorrectly. The value of -21² is not -21², but rather -441. The expression 2¡² is likely a typographical error or a misinterpretation.

To correct the error, we replace -21² with the correct value of -441:

= 15 + 7i - 441 + 7i + 15

= -426 + 14i

Hence, the correct answer in standard form is -426 + 14i.

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Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

The equation of the tangent line at t = π/4 is y = -3√2/2 × x + (3√2 + 3)/2.

To find the slope of the tangent line, we first need to differentiate the parametric equations with respect to the parameter. Let's differentiate both x and y with respect to t:

x = 3sin(t)

y = 3cos(t)

Differentiating x with respect to t:

dx/dt = 3cos(t)

Differentiating y with respect to t:

dy/dt = -3sin(t)

Now we can find the slope of the tangent line by evaluating dy/dt at the given value of the parameter t = π/4:

dy/dt = -3sin(π/4) = -3(√2/2) = -3√2/2 = -3√2/2

So, the slope of the tangent line at t = π/4 is -3√2/2.

To find the equation of the tangent line, we need the point of tangency. Substituting t = π/4 into the parametric equations, we get:

x = 3sin(π/4) = 3(√2/2) = 3√2/2

y = 3cos(π/4) = 3(√2/2) = 3√2/2

The point of tangency is (3√2/2, 3√2/2).

Now we can use the point-slope form of the equation of a line to write the equation of the tangent line:

y - y₁ = m(x - x₁)

where (x₁, y₁) is the point of tangency and m is the slope of the tangent line.

Substituting the values we found:

y - (3√2/2) = (-3√2/2)(x - 3√2/2)

Simplifying the equation:

y - 3√2/2 = -3√2/2 × x + 3/2

Rearranging the terms:

y = -3√2/2 × x + 3√2/2 + 3/2

Simplifying further:

y = -3√2/2 × x + (3√2 + 3)/2

So, the equation of the tangent line at t = π/4 is y = -3√2/2 × x + (3√2 + 3)/2.

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