PLEASE HELP ASAP!
Which of these choices is the best estimate for the answer

Answer:

this problem is actually already solved the slope is 7 or 7/1 and the y -intercept is 8.

hope this helped!

The three statements that are true include the following:

A. The radius of the circle is 3 units.

B. The center of the circle lies on the x-axis.

D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²   .......equation 1.

Where:

h and k represents the coordinates at the center of a circle.

r represents the radius of a circle.

Based on the information provided, we have the following equation of a circle:

x² + y² – 2x – 8 = 0      ......equation 2.

In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:

x² – 2x + y² = 8 = 0

x² – 2x + (2/2)² + y² = 8 + (2/2)²

x² – 2x + 1 + y² = 8 + 1

(x – 1)² + (y - 0)² = 9         .......equation 3.

By comparing equation 1 and equation 3, we have the following:

Center (h, k) = (1, 0)

Radius (r) = 3

Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).

(x - 0)² + (y - 0)² = 3²

x² + y² = 9.

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By analyzing the inequality and solving, the range of values of x for which the inequality is true is x € (-4/3, 4)

Domain is the input to the function.

Range is the output of the function.

First, we'll consider the case where |2x+1|-x-3<0.

|2x+1|-x-3<0

|2x+1|<x+3

Now we need to take the absolute value of 2x+1, we have two cases to consider:

Case 1:

2x + 1 > 0

2x + 1 < x + 3

2x - x < 3 + 1

x < 4

Case 2:

2x + 1 < 0

-2x - 1 < x + 3

-2x - 1 -x - 3 < 0

-3x - 4 < 0

x > -4/3

Now we must find the intersection between the two cases:

x € (-4/3, 4)

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Answer:

4.9 (rounded)

Step-by-step explanation:

Square root or 24 is 4.89, so it rounds to 4.9

The correct statement is: g(x) is translated up 5 units compared to f(x).

The correct answer is A.

The correct answer is A.

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Answer:

The mean prior to the given set of numbers would be \(58.8\).

How So?

1. Knowing this, first order the set from least to greatest.

\(22, 35, 44, 63, 63, 71, 80,92\)

2. Then, add up all the values.

\(22+35+44+63+71+80+92=470\)

3. Finally, divide 470 by 8 (the number of values in the set).

\(470\) ÷ \(8 = 58.75\)

4. Round 58.75, leaving you with the following solution:

\(58.75=58.8\) ←Our Final Solution / Mean

______________________________________________

Hope this helps!

The two new wrestlers must weigh 164 pounds each in order for the median to increase by 3 pounds.

Median is used to identify the central tendency of the data and is calculated by sorting the data in order from smallest to largest and then selecting the middle value.

Since the median weight of the wrestlers increases by 3 pounds, the median of the new data set (with the two new wrestlers) must be 153 pounds.

To calculate the weights of the two new wrestlers, we need to arrange the data set in ascending order first.

When the two new wrestlers are included, the new data set looks like this: 112, 130, 142, 150, 178, 206, x, y.

The median number in this data set is the average of the third and fourth numbers, 150 and 178.

Thus, the equation is written as

(150 + 178) / 2 = 164.

We can then solve this equation to find the weights of the two new wrestlers.

150 + 178 = 328

328 / 2 = 164.

So, the two new wrestlers must weigh 164 pounds each in order for the median to increase by 3 pounds.

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Answer:

triangle KLM is isosceles

Step-by-step explanation:

\(kl = \sqrt{(3 - 7) ^{2} + ({4 - 0) ^{2} } } = 4 \sqrt{2} \\ lm = \sqrt{(2 - 3 ) ^{2} + ( - 1 - 4) ^{2} } = \sqrt{26} \\ lk = \sqrt{(2 - 7) ^{2} + ( - 1 - 0) ^{2} = \sqrt{26} } \)

therefore it is isosceles.

Standard Deviation for given set of data is 0.25634797778466.

What is standard deviation?

Given that,

Sample size :12.3,11.9,12.5,12.1,12.6,11.9,12.2,12.1

Count, N: 8

Sum, submission x: 97.6

Mean, x: 12.2

Variance, s2:  0.065714285714286

s^2 = Σ(xi - x)^2/N - 1

= (12.3 - 12.2)2 + ... + (12.1 - 12.2)^2/8 - 1

= 0.46/7

=  0.065714285714286

s =  √0.065714285714286

=  0.25634797778466

Standard Deviation for given set of data is 0.25634797778466.

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Answer:

Angus has more apples.

Step-by-step explanation:

The apples are measured in pounds for both Angus and Justin. Angus has 5 pounds of apples, and Justin has 3 pounds of apples. 5 is greater than 3, so Angus has more apples.

Answer:

Step-by-step explanation:

This diagram represents a negative correlation as the first point has a y value of 5.5 and the last point has a y-value of 2, meaning that there is a rise of -3.5, suggesting a negative correlation"

The  amount of money that she yas to pay at the end of 3 yesrs to clear her debt  is:  $16,140.

First step is to find the interest

Interest = ( Principal × Interest rate × time)

Interest = $12,000 × 11.5% × 3

Interest = $4,140

Now let find the amount she use to clear the debt

Amount = Principal + Interest

Amount = $12,000 + $4,140

Amount = $16,140

Therefore she will use $16,140 to clear the debt.

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Answer:

28,339 lbs

Step-by-step explanation:

If the lifting force exerted on an airplane wing varies jointly as the area of the wing's surface and the square of the plane's velocity then:

\(F \propto Av^2 \implies F=kAv^2\)

Where:

Given:

Substitute the given values into the found equation and solve for k (variation constant):

\(\begin{aligned}F & = kAv^2\\\\10500 & = k \cdot 180 \cdot 140^2\\10500 & = 3528000k\\k & = \dfrac{10500}{3528000}\\\implies k & = \dfrac{1}{336}\end{aligned}\)

Therefore:

\(\boxed{ F=\dfrac{1}{336}Av^2}\)

To find the lifting force (F) when the plane speeds up to 230 mph, substitute the given area of the wing (A = 180 ft²) and the new velocity (v = 230 mph) into the equation and solve for F:

\(\begin{aligned}F&=\dfrac{1}{336}Av^2\\\implies F& = \dfrac{1}{336} \cdot 180 \cdot 230^2\\& = \dfrac{1}{336} \cdot 180 \cdot 52900\\& = \dfrac{1}{336} \cdot 9522000\\& = \dfrac{9522000}{336} \\& =28339.2857...\\&=28339\;\sf lbs \; (nearest\:pound)\end{aligned}\)

Therefore, the lifting force is 28,339 lbs (nearest pound).

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

Clarkson University surveyed alumni to learn more about what they think of Clarkson. One part of the survey asked respondents to indicate whether their overall experience at Clarkson fell short of expectations, met expectations, or surpassed expectations. The results showed that 4% of respondents did not provide a response, 26% said that their experience fell short of expectations, 65% of the respondents said that their experience met expectations (Clarkson Magazine, Summer, 2001). If we chose an alumnus at random, what is the probability that the alumnus would say their experience surpassed expectations? If we chose an alumnus at random, what is the probability that the alumnus would say their experience met or surpassed expectations?

Solution:

Probability = number of favorable outcomes/number of total outcomes

From the information given,

The probability that respondents did not provide a response, P(A) is 4/100 = 0.04

The probability that a respondent said that their experience fell short of expectations, P(B) is 26/100 = 0.26

The probability that a respondent said that their experience met expectations, P(C) is 65/100 = 0.65

A) Adding all the probabilities, it becomes 0.04 + 0.26 + 0.65 = 0.95

Therefore, the probability,P(D) that a respondent said that their experience surpassed expectations is 1 - 0.95 = 0.05

B) The event of a randomly chosen respondent saying that their experience met expectations and that their experience surpassed expectations are mutually exclusive because they cannot occur together. It means that P(C) × P(D) = 0

Therefore, the probability of P(C) or P(D) is 0.65 + 0.05 = 0.7

Answer:

34%+29%=63% 63%x60=37.8

Step-by-step explanation:

because math

Answer:

\( { \tt({34\% + 29\%) \times 60}} \\ = 63\% \times 60 \\ = \frac{63}{100} \times 60 \\ = 37.8\)

Multiply 4/25 by 15/16 (to do this, multiply the numerator by the numerator and the denominator by the denominator).

We multiply the fraction as indicated above.

Simplify the fractions 60/400 to their lowest expression by extracting and canceling 20.

Answer:

Step-by-step explanation:

In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."

The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:

Introduction to Variables and Expressions:

Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.

Solving One-Step Equations:

Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.

Solving Two-Step Equations:

Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.

Writing and Graphing Linear Equations:

Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.

Systems of Linear Equations:

Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.

Word Problems and Applications:

Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.

The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.

By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.

Answer:

\(A = 2\)

\(B = -1\)

\(C = -9\)

Step-by-step explanation:

Given

\(2x\² + 15x + 19 = Ax\² + 8Ax + 16A + Bx + 4B + C\)

Required

Find A, B and C

Rearrange the expression

\(2x\² + 15x + 19 = Ax\² + 8Ax + 16A + Bx + 4B + C\)

\(2x\² + 15x + 19 = Ax\² + 8Ax + Bx + 16A + 4B + C\)

To do this, we simply compare the expressions on both sides of the equation.

So, we have:

\(Ax\² = 2x\²\) --- (1)

\(8Ax + Bx = 15x\) --- (2)

\(16A + 4B + C = 19\) --- (3)

Divide both sides by x² in (1)

\(Ax\² = 2x\²\)

\(A = 2\)

Divide both sides by x in (2)

\(8Ax + Bx = 15x\)

\(8A + B = 15\)

Substitute 2 for A.

\(8*2 + B = 15\)

\(16+ B = 15\)

Make B the subject

\(B = 15 - 16\)

\(B = -1\)

Substitute 2 for A and -1 for B in (3)

\(16A + 4B + C = 19\)

\(16*2 + 4*-1 + C = 19\)

\(32 - 4 + C = 19\)

\(28 + C = 19\)

Make C the subject

\(C = 19 - 28\)

\(C = -9\)

Answer:

it D

Step-by-step explanation:

I just used elimination like a small brain

like so

when a = 1, b = 0, c = 3, d = -3

x^3 + 8x – 3 = Ax^3 + 5Ax + Bx^2 + 5B + Cx + D

Answer: 10%

Step-by-step explanation:

Answer:

The answer is 10%. 100,000 is 10% of 1,000,000, therefore, 200,000 is 10% of 2,000,000, and 200,000 is the increase, therefore it is 10%

Answer:

I think it would be a rhombus.

Answer:

x≥5

Step-by-step explanation:

-1 ≥ x/-5

x/-5 ≤ -1

x(-1)/5 ≥ (-1) (-1)

x/5 ≥ 1

5x/5 ≥ 1 ×5

x ≥ 5

I'm not sure but I tried.

For the graph: you can draw a line about 15cm, put 0 at the start then after 5cm put 5 then 10 at 10cm and 15 at the end. At 5 put • that's the starting and go all the way to 15 and add > to show that the line continues. I'm not good at explaining but I hope it helps.

Answer:

False

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Happy to help :)

Step-by-step explanation:

Answer:

C(min)   =  8763.4 $

Step-by-step explanation:

Area =  24000 ft²

In a rectangle,    A =  x * y            x  is the base side and  y the height side

Cost of low and upper side   (x)  is 20 $ per foot

Cost of east and west sides  ( y)  is  10 $per ft

total cost is:

C(r)  =  2 * 20* x  +  2*  10* y

from  A =  x * y      y  =  A / x        y  =  24000 / x

And by substitution in C(r) we get:

C(x)  =   2 * 20* x  +  2*  10* 24000 / x

C(x)  =  40 * x  + 480000 / x

Tacking derivatives on both sides of the equation:

C´(x)  =  40  -  480000 / x²

C´(x)  =  0                40   -   480000/x²   = 0

40* x²  -  480000  = 0

x²  =  480000 / 40

x²  =  12000

x  =  √ 12000   =  109,54 ft

and  y  =  24000 / 109,54

y  =  219,09  ft

Chequing for second derivative

C´´(x)  =   480000 / x⁴     is always positive so we have a minimum of C at the value  x  =  109,54

Minimum cost C (min)  =  40* 109,54 +  20 * 219,09

C(min)   =  4381.6  +  4381.8

C(min)   =  8763.4 $

The image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).

A dilation with a center of (0,0) and a scale factor of 7 means that every point in the plane will be multiplied by a factor of 7 from the origin.

To find the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7, we can simply multiply the coordinates of L by the scale factor.

The coordinates of the image point L' will be:

L' = (-4 × 7, 0 × 7) = (-28, 0)

Therefore, the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).

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The expanded form of the expression is 10 + 9 + 0.3 + 0.00 + 0.005

He runs the 100 meters dash in 19.305 seconds.

Therefore, the seconds he runs the race can be represented in expanded form as follows:

Expanded form is a way to write a number by adding the value of its digits.

We can use a place value chart to think of the value of a number's digits.

Therefore,

19.305 in expanded form is as follows:

19.305 = 10 + 9 + 0.3 + 0.00 + 0.005

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Answers: line DB

H

D

Answer:

115

Step-by-step explanation:

1, 7, 13, 19, 25...

1, 1+6, 1+6+6, 1+6+6+6, 1+6+6+6+6...

In 2nd number, 1 plus one 6

In 3rd number, 1 plus two 6s

:

In 20th, 1 plus nineteen 6s

1 + 6 × 19 = 115

Answer: The trip should take 3.5 hours.

Step-by-step explanation: To find the time, divide the distance by the rate. In this case, 210/60 = 3.5.

Answer:

3.5 hours or specifically, 3 hours and 30 minutes

Step-by-step explanation:

We know that the car can be driven 60 miles per hour. The goal is 210 miles. If you divide 210 miles by 60, the result is 3.5. The whole number 3 in 3.5 will represent the hours taken which means 3 hours. The 0.5 will also represent the minutes. 0.5 = 1/2, 1/2 of an hour = 30 minutes.

The distance between the fire and station B is 10.7miles

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

The angle at A = 90- 35

= 55°

The angle at B = 90-49

= 41°

Angle at the fire = 180-(41+55)

= 180-96 = 84°

Using sine rule

sin84/13 = sin55/x

xsin84 = 13sin55

0.995x = 10.65

x = 10.65/0.995

x = 10.7 miles

Therefore the distance between the fire and station B is 10.7 miles.

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