What is an equation of the line that passes through the points (1,1) and (7,-5)
I’ll give you BRAINLEST

Refer to the attachment

Sorry in advance if my handwriting is not good

Hope it helps you

Lee Jenkins worked the following hours as a manager for a local Pizza Hut 5 4/1​, 9 4/3​, 7 4/3​ and 8 4/3​.

Now, the above-mentioned hours are not in the proper form that we are required to calculate. Therefore, we need to change them into the proper format .In order to add these hours, we must first convert the hours and minutes to the same format.

We'll need to convert each fraction to a common denominator of 3x3=9.  5 4/1​ in the mixed format is 5 + 4/1,
which is equal to 9. 9 4/3 in the mixed format is 9 + 4/3,
which is equal to 10 1/3.7 4/3​ in the mixed format is 7 + 4/3,

which is equal to 8 1/3.8 4/3​ in the mixed format is 8 + 4/3,
which is equal to 9 1/3.Now that we've converted the times,

we can add them together to get a total of 36 1/3 hours.

Therefore, Lee worked for 36 1/3 hours. the total number of hours Lee worked as a manager for the local Pizza Hut is 36 1/3 hours.

To know more about manager visit:-

https://brainly.com/question/32150882

#SPJ11

Answer:

price per ounce: $4.48

Step-by-step explanation:

divide 40.32 by 9

Answer:

0.28

Step-by-step explanation:

9 pound = 144 ounce

40.32 / 144 = 0.28

The fractional part of a moon that is illuminated during a particular month can be modeled by a sine function. The graph of this function is a sinusoidal curve, with a period of 29.5 days.

The sine function can be used to model many natural phenomena, including the phases of the moon. The graph of a sine function is a sinusoidal curve, which has the following properties:

It has a period, which is the distance between two consecutive peaks or troughs. In the case of the moon, the period is 29.5 days.

It has an amplitude, which is the distance between the midline and the highest or lowest point of the curve. In the case of the moon, the amplitude is 1.

It has a midline, which is the horizontal line that passes through the middle of the curve. In the case of the moon, the midline is 0.5.

The sine function can be used to model the phases of the moon by adjusting the amplitude and midline to match the observed data. The graph of the sine function will then show the changing illumination of the moon over the course of a month.

To learn more about fractional part here brainly.com/question/1330447

#SPJ11

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

The error term is a random variable with an expected value of zero.2. The error term is normally distributed

The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.

The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.

Learn more about random variable

https://brainly.com/question/30789758

#SPJ11

Where the above conditions are given, note that ∠AFB  and ∠EFD are not vertical angles neither are they linear pair angles.

Vertical angles are a pair of non-adjacent angles formed by the intersection of two lines.

They are equal in measure and are formed opposite to each other. An example of vertical angles is when two intersecting roads create an "X" shape, and the angles formed at the intersection points are vertical angles.

Linear pair angles are a pair of adjacent angles formed by intersecting lines. They share a common vertex and a common side.

An example of linear pair angles is when two adjacent walls meet at a corner, and the angles formed by the walls are linear pair angles.

Learn more about linear pair angles:
https://brainly.com/question/17297648
#SPJ1

Answer:

Expanded, the answer would be 10b + 40

Step-by-step explanation:

Just multiply 8 to 2b and 8

The rate of increase in spending in 2011 was approximately 0.282 billion dollars per year (rounded to three decimal places).

To find the total spent on research and development (R&D) by the federal government in the United States in 2011 (t = 11), we can substitute t = 11 into the equation S(t) = 3.1ln(t) + 22.

S(11) = 3.1ln(11) + 22

Using a calculator, we can evaluate this expression:

S(11) ≈ 3.1 * 2.397895 + 22 ≈ 7.436365 + 22 ≈ 29.436365

Therefore, the total amount spent on R&D by the federal government in the United States in 2011 was approximately 29.44 billion dollars (rounded to two decimal places).

To determine the rate at which the spending was increasing, we can calculate the derivative of the function S(t) with respect to t. The derivative of S(t) = 3.1ln(t) + 22 is given by:

S'(t) = 3.1 / t

Substituting t = 11 into the derivative:

S'(11) = 3.1 / 11 ≈ 0.2818

Therefore, the rate of increase in spending in 2011 was approximately 0.282 billion dollars per year (rounded to three decimal places).

Learn more about expression at https://brainly.com/question/1859113

#SPJ4

The smallest sample size for the 95% confidence interval for the mean of the population is 359 .

Given the standard deviation is 2.9 , hence  σ =2.9

Margin of error = E = 0.3

At 95% confidence level the z is ,

α = 1 - 95% = 1 - 0.95 = 0.05

α/2 = 0.05 / 2 = 0.025

Zα/2 = Z₀.₀₂₅ = 1.96

Now we know that the sample size is calculated using the formula:

\(n = (z_{\frac{\alpha}{2}} \times \frac{\sigma}{E})^2\)

n = [Z₀.₀₂₅ × σ / E] ²

n = ( 1.96×2.9  /0.3  )²

n = 358.976

n≈ 359

Sample size = n = 359

A confidence interval is a group of estimates for a parameter that is unknown (CI). Although occasionally other criteria, such as 90% or 99%, may also be used to generate confidence intervals. The average degree of confidence has increased to 95%.

The percentage of long-term associated CIs that contain the parameter's actual value is measured by the confidence level. For instance, the parameter's actual value should be present in 95% of all intervals generated at the 95% confidence level.

To learn more about confidence interval visit:

brainly.com/question/24131141

#SPJ4

To write the inequality we will start by defining "a number" as n.
Then, "twice a number" can be written as 2n.

increased by 3 becomes: 2n + 3 is less than" turns it into" 2n + 3 < the number decreased by 4 is:  n − 4

Step-by-step explanation:
To solve, first, subtract 3 and n from each side of the inequality to solve for n while keeping the inequality balanced:
− n + 2n + 3 − 3 < − n + n − 4 − 3
− 1n + 2n + 0 < 0 − 7

(−1 + 2)n < −7

1n < − 7
n < − 7

Answer:

D  angle 6

Step-by-step explanation:

Corresponding angles are in the same place if the line were on top of each other.  For example, ang1e 1  and angle 5, are corresponding;  angle 3 and angle 7 are corresponding.

Therefore , the solution to the given problem of equation comes out to be the cost of carpet is $2072.

An equation is referred to as linear when all of the highest powers of the variables are equal to one. The components are interconnected. This kind of issue is also known as a one-degree equation. Learn how to solve a linear equation in one or two variables using the standard form, formula, graph, and instructions in the following paragraphs.

Here,

Given :

floor area of a square feet is 50a + 12h,

where h is the number of hours

Thus.

At t =6 and a =40

So ,

the cost of carpet

=> Cost =  50a + 12h

=> Cost =  50*40 + 12*6

=> Cost = 2000 + 72

=> Cost = 2072

Therefore , the solution to the given problem of equation comes out to be the cost of carpet is $2072.

To know more about equation ,visit

brainly.com/question/10413253

#SPJ4

Answer:

Step-by-step explanation:

Given point

Dilation by a scale factor of 74:

Rotation by 180°:

Answer:

Step-by-step explanation:2

Step-by-step explanation:

hope it helps .

Step-by-step explanation:

hope it is helpful to you

The exact values of all angles in the interval [0, 360°) that satisfy the given equations are:

data = 45°, 135°, 315°.

To solve the given trigonometric equations, we will consider each equation separately.

tan²(data) - 1 = 0:

First, let's rewrite tan²(data) as (sin(data)/cos(data))²:

(sin(data)/cos(data))² - 1 = 0

Now, we can factor the equation:

(sin²(data) - cos²(data)) / cos²(data) = 0

Using the Pythagorean identity sin²(data) + cos²(data) = 1, we can substitute sin²(data) with 1 - cos²(data):

((1 - cos²(data)) - cos²(data)) / cos²(data) = 0

Simplifying further:

1 - 2cos²(data) = 0

Rearranging the equation:

2cos²(data) - 1 = 0

Now, we solve for cos(data):

cos²(data) = 1/2

cos(data) = ± √(1/2)

cos(data) = ± 1/√2

cos(data) = ± 1/√2 * √2/√2

cos(data) = ± √2/2

From the unit circle, we know that cos(data) = √2/2 corresponds to angles 45° and 315° in the interval [0, 360°). Therefore, the solutions for data are:

data = 45° and data = 315°.

cos(data)sin(data) = 1:

Since cos(data) ≠ 0 (otherwise the equation wouldn't hold), we can divide both sides by cos(data):

sin(data) = 1/cos(data)

sin(data) = 1/√2

From the unit circle, we know that sin(data) = 1/√2 corresponds to angles 45° and 135° in the interval [0, 360°). Therefore, the solutions for data are:

data = 45° and data = 135°.

for more such questions on trigonometric equations

https://brainly.com/question/30257777

#SPJ8

By definition, direct variation takes the following form:

y=kx

Where k is the proportionality constant.

You can find k given the information in the problem:

7=3k

k=3/7

You can now find y when x=7 as follows:

y=(7*3)

Values can be substituted. Then:

y=(7*7)/3

y=49/3

If y varies directly from x, then the value of y = 49/3 when x = 7.

If y varies directly from x, we can write its relationship in the form of the equation below :

y = m*x

Where m is the slope of the line on the graph.

From the given data:

y=7

x=3,

We can substitute these values in the above equation and find m :

7 = m*3

m = 7/3

So, the equation can also be written as follow:

y = 7/3 x

Finding y when x=7, then substituting the x value in the above equation we get:

y = (7/3)*(7)

y = 49/3

Therefore the value of the y = 49/3.

to learn more about the slope:

https://brainly.com/question/28645794

Answer:

from side a _2,4.5

from side b _-4

5,-2.

hope this will be helpful for you.

Answer:

i think its c

Step-by-step explanation:

The equation of a straight line is represented as: \(y = mx + c\)

The equation of the line is: \((c)\ y = -x +3\)

The coordinates are given as:

\(M = (-5,5)\)

\(N = (5,-2)\)

\(O = (-8,2)\)

First, we calculate the slope of line MO using:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

So, we have:

\(m = \frac{2-5}{-8--5}\)

\(m = \frac{-3}{-3}\)

\(m = 1\)

The line that passes through N is perpendicular to MO.

This means that, the slope (m2) of the line is:

\(m_2 = -\frac 1m\)

So, we have:

\(m_2 = -\frac 1{1}\)

\(m_2 = -1\)

The equation of the line is then calculated as:

\(y = m_2(x - x_1) + y_1\)

Where:

\(m_2 = -1\)

\(N = (5,-2)\) --- \((x_1,y_1)\)

So, we have:

\(y = -1(x -5) - 2\)

\(y = -x +5 - 2\)

\(y = -x +3\)

Hence, the equation of the line is: \((c)\ y = -x +3\)

See attachment for the graph of the lines

Read more about equations of straight lines at:

https://brainly.com/question/21627259

Answer:

It will take Richard 12 minutes to type 720 words.

Step-by-step explanation:

720 ÷ 60 = 12

The minimax regret criterion, also known as the minimax regret strategy, is an approach used in decision theory by economists. It aims to minimize the maximum regret that could be experienced when choosing a particular course of action.

The minimax regret criterion is a decision-making technique that takes into account the potential regret associated with each possible decision. It recognizes that decision-makers often face uncertainty and that their choices may lead to outcomes that are different from what was initially expected. By considering the worst-case scenario or maximum regret for each decision, the minimax regret criterion helps decision-makers select the option that minimizes the potential regret.

In this approach, decision-makers evaluate the consequences of their choices by comparing the actual outcome with the best outcome that could have been achieved if a different decision had been made. The minimax regret strategy focuses on minimizing the maximum regret across all possible decisions, aiming to choose the option that would result in the least regret, regardless of the actual outcome.

Economists often use the minimax regret criterion to analyze decision problems under uncertainty, particularly when the consequences of different actions cannot be precisely predicted. It provides a framework for decision-making that incorporates risk aversion and the desire to minimize the potential for regret. By considering the worst possible outcomes, decision-makers can make more informed choices that take into account the potential regrets associated with their decisions.

Learn more about outcomes here:

https://brainly.com/question/17238771

#SPJ11

Answer:

X=11

Step-by-step explanation:

Vertical angles equal each other.

5x+10 = 7x -12

Then solve for x by placing all the X values on one side and the number values on the other side.

5x+10=7x-12

5x-7x=-12-10

-2x=-22

x=11

Answer:

if the sum of digits is divisible by 3 ,the number is also divisible by 3. Since 210 is divisible by 3, the given number is also divisible by 3.

The area of the larger figure that is similar to the smaller one is: 28.2 m².

Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:

Area of figure A / Area of figure B = a²/b².

Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:

Perimeter of smaller figure = 20 m

Area of smaller figure = 19.6 m²

Perimeter of larger figure = 34m

Area of larger figure = x

Therefore:

20/34 = a/b

Simplify:

10/17 = a/b.

Find the area (x) of the larger figure using the formula given above:

10²/12² = 19.6/x

100/144 = 19.6/x

100x = 2,822.4

x = 2,822.4/100

x ≈ 28.2 m²

Learn more about area of similar figures on:

https://brainly.com/question/17132861

#SPJ1

The leader of the campfire girls troop can appoint 3 out of 14 members to clean up the camp in 364 ways.

The number of members in the campfire girls troop

= 14

The number of members the leader of the campfire girls troop can appoint at a time = 3

The number of ways to appoint r members out of n members

= nCr = n!/(r)!×(n-r)!

Therefore, the number of ways in which the leader of the campfire girls troop can appoint 3 out of 14 members to clean up the camp

= 14C3 = 14!/(3)!×(14-3)! = 364 ways

To know more about number of ways to appoint

https://brainly.com/question/16877119

#SPJ4

Yes, △ ABC appears to be the same size and shape as △ XYZ by SAS similarity, and △ ABC can be mapped by translation and rotation, so option A is correct

What is triangle?

Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes, it is represented by the symbol and consists of three connected vertices.

Right triangles ABC and XYZ. ABC has a shorter leg equal to 5 and a hypotenuse equal to 13,

The triangles ABC and XYZ are similar by SAS similarity, as,

AC = XZ = 5,

AB = YZ = 13

∠ ACB = ∠ XZY

When you translate and then rotate triangle ABC, you will get triangle XYZ.

To know more about Triangles:

brainly.com/question/16886469

#SPJ4