Use the graph to find the slope and y-intercept to write the equation in slope-intercept form.

On a coordinate plane, a line goes through points (negative 2, 0) and (0, negative 1).

The graph shown is y =
x +
.

Answer:

Step-by-step explanation:

9x-3y=-10 ...............(1)

3x-4y=1...............(2)

multiplying equation (2) by 3

9x-12y=3...................(3)

Using elimination method, then

9x-3y=-10 ...............(1)

9x-12y=3...................(3

9y= -13

y= -13/9

substituting y= -13/9 in equation (1) then

9x-3(-13/9)= -10

9x+13/3= -10

multiplying throughout by 3

27x+13= -30

27x= -30-13

27x= -43

x= -43/27

since x and y values are known, then

12x-7y = 12(-43/27) - 7(-13/9)

12x-7y = -516/27 + 91/9

12x-7y = -9

$100 because if you follow the line from 5 hours to the line it lines up with 100 dollars

Answer:

5/6 can´t be simplified

Step-by-step explanation:

Answer:

5i/6

Step-by-step explanation:

\(\frac{5}{6}i\\\\\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\=\frac{5i}{6}\)

Answer:

coefficient of variation = 7.108%

Step-by-step explanation:

From the given information:

The objective is to determine the  coefficient of variation for the prices of tickets purchased 30 days in advance is ____%

The mean \(\overline x\) = \(\dfrac{250+286+305+256+288+282+254}{7}\)

The mean \(\overline x\) = \(\dfrac{1921}{7}\)

The mean \(\overline x\) = 274.4285714

The standard deviation also can be computed as follows:

\(\sigma =\sqrt{ \dfrac{\sum (x_i-\mu)^2}{N}}\)

\(\sigma =\sqrt{ \dfrac{ (250-274.43)^2+(286-274.43)^2+(305-274.43)^2+...+(254-274.43)^2}{7}}\)\(\sigma =19.507\)

Finally; the coefficient of variation can be calculated with the formula:

coefficient of variation = \(\dfrac{\sigma}{\overline x}\)

coefficient of variation = \(\dfrac{19.507}{274.43}\)

coefficient of variation = 0.07108

coefficient of variation = 7.108%

Answer:

D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.

Step-by-step explanation:

We have probability of having damaged apple = 13%

= 13/100

= 0.13

Sample size n = 10

Using the binomial distribution

P(X=x) = nCx * P^x(1-P)^n-x

Probability sample will have at least one damaged apple

= P(X>=1) = 1-p(x<1)

= 1 - P(X=0)

= 1-(10C0 *P⁰(1-0.13)¹⁰

= 1 - 1(1-0.13)¹⁰

= 1 - 0.87¹⁰

= 1 - 0.2484

= 0.7516

The answer is option D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.

In triangle ,  5.77  is the value of A-F Chord  .

What is known as a triangle?

Three vertices make up a triangle, a three-sided polygon. The angles of the triangle are formed by the connection of the three sides end to end at a single point. The triangle's three angles add up to a total of 180 degrees.

In ∆ AFC  

Angle CAF = 360 - (140 - 160)

                   = 360° - 200°

                    = 60°  

                = CF cot A°,    

where CF =10 and cot 60°= 1/√3  

                A-F    = 5.77

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Using the Intersecting secants theorem, the length of JK in the given diagram is 17

From the question, we are to determine the length of JK in the given diagram.

The diagram shows a circle with intersecting secants.

From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".

Then,

We can write that

JK × KL = NM × ML

From the given diagram,

KL = 14

NM = 14

ML = 17

Substituting the values

JK × 14 = 14 × 17

JK = (14 × 17) / 14

JK = 17

Hence, the length of JK is 17

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Answer:

A. Negative correlation

B. Data isn't given

Step-by-step explanation:

A. A positive correlation occurs when variables that are related(not zero correlation)increase together, in other words variable a(independent variable) increases and makes variable b(dependent variable) increase too. There will be a negative correlation if the opposite happens, that is when variables that are related go in opposite directions, one increases while the other decreases. We observe from what we are told that a negative correlation occurs here since death rate from fires has likely(assumed) decreased as smoke detectors have increased.

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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The value of x is 24 and different angles of hexagon will be -

A = 160

B = 142

C = 120

D = 156

E = 31

F = 111

An angle is a geometric shape that is defined as the amount of rotation that occurs between two straight lines or planes. Angles are measured in degrees, with 360° representing a full circle.

We need to apply the inverse tangent function to determine the angle at which the sun strikes the flagpole. We are aware that the triangle's adjacent side is 42 feet long and its opposite side is 25 feet tall (the height of the flagpole) (the length of the shadow).

Given the figure is hexagon,

the sum of angles of a hexagon is 720,

Upon adding the given angles,

mA = (7x-8)°

mB (4x+46)°

mC = (5x)

mD = (6x+12)°

mE = (x+7)°

mF = (5x-9)°

⇒ 7x - 8 + 4x + 46 + 5x + 6x + 12 + x + 7 + 5x - 9 = 720

⇒ 28x + 48 = 720

⇒ 28x = 672

⇒ x = 24

Therefore, the angles will be -

A = 160

B = 142

C = 120

D = 156

E = 31

F = 111

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Answer:

D. A pair of intersecting lines

Step-by-step explanation:

A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.

I hope this helps you ace your math question.

Answer:

what they said was correct just took the test

Step-by-step explanation:

Answer:

w = - 8

Step-by-step explanation:

-Simplify both sides of the equation

-Distribute

-Combine like terms

-Add 22 to both sides

-Divide both sides by -3

The coordinates of p which divides the line AB in ratio 3:1 is (3.75, 3.5).

The section formula provides the coordinates of a point that, either internally or externally, divides the line connecting two locations in a ratio.

P ( x , y ) = ( c ⋅ m + a ⋅ n m + n , d ⋅ m + b ⋅ n m + n ) .

Ratio of line = 3:2

m and n represents the ratios 3:2

let the coordinates of p(x, y).

using Section formula

= [ (3(4) + 1(3) / (3+1), 3(3) + 1(5) / 3+ 1]

= (15/ 4, 14/4)

= (3.75, 3.5)

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Answer:

C, D, F

Step-by-step explanation:

160/-5 is -32, so we just need to figure out what is equal to -32.

A. 32

B. -40

C. -32

D. -32

E. 32

F. -32

Answer:

B and C

Step-by-step explanation:

1/5 prefer apple juice

T = prefer orange juice

9/20 prefer apple or oranger juice

First, we can subtract 1/5 from 9/20 to get 1/4 (simplified)

Equation = 9/20  - 4/20 = 5/20 = 1/4

Plug it in:

A. 9/20 + 1/4 =1/5 (Incorrect)

B. 1/5 + 1/4 = 9/20 (Correct

C. 1/4 + 1/5 = 9/20 (Correct)

D. 1/4 - 1/5 = 9/20 (Incorrect)

Answer:

1/5 + t = 9/20

t + 1/5 = 9/20

Step-by-step explanation:

1/5 are apple + unknown for orange = apple + orange

1/5  + unknown = 9/20

Let t = unknown

1/5 + t = 9/20

order doesn't matter on the left side since we are adding

t+1/5 = 9/20

Answer:

24 units

Step-by-step explanation:

6 times 8 =48

48 divided by 1/2 = 24

\(3:1\)

you says that 25% it's mean yellow fish 1/4 of total

and blue fish 75% means 3/4

So, the ratio of blue : yellow be 3:1

Answer:

wow

Step-by-step explanation:

its 304

When time t=1 second ,  the elevator reaches 1019 feet  .

Given :

An elevator's height is given by the equation h=1050-31t

h represents the height in feet  and t represents  the time in seconds .

Lets find out the height h when t=1

Substitute t=1 in the given equation ,

\(h=1050-31t\\h=1050-31(1)\\h=1019\\\)

So, the height is 1019 feet when time =1 second

We can say that the elevator reaches 1019 feet  in 1 second

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Answer:

(a) The power reaches its maximum at 14:00, or 02:00 pm

(b) The maximum power drawn by the household is 1.83 KW.

Step-by-step explanation:

Extreme points of real functions

Given a real function f(x), we can find the possible maximum or minimum points by computing the first derivative of f, f'(x), and equating it to zero.

The solutions of the resulting equation are the critical points of the function f.

The given function is

\(p(t)=-0.007t^2+0.2t+0.4\)

Where t is the number of hours after midnight and p(t) is the power in kilowatts.

Calculate the first derivative and equate to 0:

\(p'(t)=-0.014t+0.2=0\)

Solve for t:

\(-0.014t=-0.2\)

\(t = -0.2 / (-0.014) = 14.29\)

\(t\approx 14\ hours\)

(a) The power reaches its maximum at 14:00, or 02:00 pm

To find the maximum value, we use the value of t:

\(p(14)=-0.007\cdot 14^2+0.2*14+0.4\)

\(p(14)=1.828\)

(b) The maximum power drawn by the household is 1.83 KW.

After solving the Algebraic Expression 2(x + 8)= 2x + 8, we will get x∈∅. Variable x is dissolved in itself, making it impossible to find its value.

Before moving to solve the equation , let's learn how to solve any algebraic expression:

Step 1: Determine whether the Distributive is necessary.

Property. If so, spread the word!

Step #2: Group similar terms together on either side of the equals symbol.

(meaning: combine all of the similar factors AND

Add up each and every integer (number).

Step #3: Align the variables so that they are all to one side of the equals symbol.

utilizing the inverse process. REMEMBER: No matter what you do

You MUST do to the other side of the equals sign what you did to the one side.

equals (symbol).

Fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

fourth Step: When all of your variables are situated on the same side of the

You must transfer each number to the opposite sign of the equals by applying the inverse procedure on the equals sign. REMEMBER:

You MUST do anything you do to one side of the equals sign.

the reverse of the equals symbol).

Step #5: Using the variable's ALONE state, isolate it

the opposite process. DO NOT FORGET: No matter what you do to one

You MUST change the other side of the equals symbol to the equals symbol

Given:

2(x + 8)= 2x + 8

2 × x + 2 × 8= 2x + 8

2x+16= 2x+ 8

16= 8

So, x∈∅.

In this equation , the value of x could not be find because variable x is dissolved in itself.

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Answer: 5/7 of the kids chose New York or L.A.

Step-by-step explanation:

All you need to do in this problem is add the fraction of people that chose New York and the fraction of people that chose L.A:

4/7 + 1/7 = 5/7

Answer:

Step-by-step explanation:

B.28.1

Answer:

It's BBBBBBBBBBBBBBBBB

Research Report:

Title: The Number of Coins Carried by Teachers

Introduction:

This research report aims to investigate the number of coins carried by teachers. The study seeks to understand the reasons behind carrying coins and whether there are any patterns or correlations between the number of coins and certain factors such as age, gender, and occupation.

The data was collected through a survey distributed among teachers from various educational institutions. The findings of this study provide insights into teachers' habits and preferences when it comes to carrying coins.

Results and Analysis:

A total of 300 teachers participated in the survey. The data revealed that the majority of teachers (60%) carry less than 5 coins, while 25% carry between 5 and 10 coins. Only a small percentage (15%) reported carrying more than 10 coins.

Further analysis based on demographic factors indicated that age and occupation had a significant influence on the number of coins carried. Older teachers were more likely to carry fewer coins, with 70% of teachers above the age of 50 carrying less than 5 coins.

Additionally, primary school teachers tended to carry more coins compared to secondary school teachers.

Discussion and Interpretation:

The findings suggest that the number of coins carried by teachers is influenced by various factors.

Teachers may carry coins for a range of reasons, such as purchasing small items, providing change for students, or utilizing vending machines.

The lower number of coins carried by older teachers could be attributed to a shift towards digital payment methods or a preference for carrying minimal cash.

The discrepancy between primary and secondary school teachers could be due to differences in daily activities and responsibilities.

This research provides valuable insights into the habits and preferences of teachers regarding the number of coins they carry.

Understanding these patterns can assist in designing more efficient payment systems within educational institutions and potentially guide the development of tailored financial solutions for teachers.

Further research could explore the reasons behind carrying coins in more depth and investigate how the digitalization of payments affects teachers' behavior in different educational contexts.

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Answer:

The circle's circumference is approximately 106.81 centimeters.

Explanation:

The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the circle.

So, for a circle with a radius of 17 centimeters, its circumference can be found by:

C = 2πr

C = 2 x 3.14 x 17

C ≈ 106.81 cm

Therefore, the circumference of the circle is approximately 106.81 centimeters.

Answer:

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Step-by-step explanation:Please help me important question in image

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Answer:

The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.

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Answer:

Function A has a greater slope than function B.

Step-by-step explanation:

A's slope is 2x