A line passes through (−1, 5) and (1, 3).

Which answer is the equation of the line? PLEASE HELP

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Answer:

6.6 ft

Step-by-step explanation:

The area of a triangle is given by the formula: \(A=\frac{1}{2}bh\).

In this case, the base b equals the height h.

\(\therefore A=\frac{1}{2}h^2 \rightarrow h=\sqrt{2A}\)

Given: A = 22 ft²

\(\therefore h=\sqrt{2A} = \sqrt{2(22 \text{ ft}^2)} = \sqrt{44}\text{ ft} \approx 6.6 \text{ ft}\)

The branch of statistics that deals with the organization and summarization of collected information is called Descriptive Statistics.

Descriptive Statistics involves the methods and techniques used to describe and summarize data in a meaningful way, providing insights and understanding about the characteristics of the data set.

In Descriptive Statistics, the focus is on organizing, presenting, and summarizing data through various measures such as central tendency (mean, median, mode), dispersion (range, variance, standard deviation), and graphical representations (histograms, bar charts, pie charts).

It aims to provide a concise and informative summary of the data, allowing researchers or analysts to gain a better understanding of the data set and draw meaningful conclusions.

Descriptive Statistics plays a crucial role in the initial stages of statistical analysis by providing a clear and concise overview of the data, enabling researchers to identify patterns, trends, and important features of the data set. It serves as a foundation for further statistical analysis and helps in making informed decisions based on the collected information.

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Answer:

32. 74

Step-by-step explanation:

Round money monetary answers to the nearest cent. ... using the Distributive Property and explain each step. ... Alison has $9.70 in dimes and quarters. ... It takes him 2.4 hours to get to Seattle, driving at 15 miles per hour faster than the.

The similar triangles in the question, with proportional sides indicates;

4. The proportion that must be true is the option G

G. 4/6 = 7/x

Similar triangles are triangles are triangles that have the same shape but may have different sizes.

The possible triangles in the question includes two triangles with specified side lengths AB = 6 inches, AC = 7 inches, DE = 4 inches, DF = x inches

The definition of similar triangles indicates that we get;

DE/AB = EF/BC

DF/AC = DE/AB

DF/AC = EF/BC

Therefore;

(x/7) = 4/6

The correct option which indicates the proportion that must be true, therefore is option G

G. 4/6 = x/7

Part of the question includes two triangles, please see attached diagram created with MS Excel

The possible proportions, from which to select the proportion that must be true are;

F (7/x) = (4/6)

G 4/6 = x/7

H 6/4 = x/7

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Answer:

see explanation

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle , that is

3x + 2x + 6 + 6x - 3 ( simplify by collecting like terms )

= 11x + 3

Given the perimeter = 36 units , then

11x + 3 = 36 ( subtract 3 from both sides )

11x = 33 ( divide both sides by 11 )

x = 3

Then

base = 2x + 6 = 2(3) + 6 = 6 + 6 = 12 units

height = 3x = 3(3) = 9 units

hypotenuse = 6x - 3 = 6(3) - 3 = 18 - 3 = 15 units

Answer :

5/-1.6 <-3 3/10 -(7/ 20)<5 6/15 + (-2 4/5) < - 4.5 *-2.3

Step-by-step explanation: i think this is right tell me if not.

Answer:

No

Step-by-step explanation:

This is because K and B don't share the same angle measurement. They both will be different numbers that must equal 180 degrees. With that K will be corresponding with J while B will be corresponding with D.

Hope this Helped

The average rate of change of the function f(x) = x² − 9x + 17 over the interval 1^st to 5^th is -2.

To find the average rate of change of the function over the given interval, we need to first calculate the values of the function at the endpoints of the interval. So, we need to find f(1) and f(5) which are equal to 9 and 3, respectively. Then, we can use the formula for average rate of change which is (f(b) - f(a))/(b - a), where a and b are the endpoints of the interval. So, the average rate of change of the function over the interval 1^st to 5^th is (3 - 9)/(5 - 1) = -2.

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29,060,000

When writing this out, it is important to make sure you include the commas and the exact amount of zero's by the way.

Answer:29,060,000

Step-by-step explanation:

with every three zeros your number grows bigger 100,00= One hundred thousand. 29,000,000 = thwenty-nine million

Answer:

Step-by-step explanation:

Step 1 Find the slope

1-3/3-(-3)

-2/6=1/3

m=-1/3

Use the point slope formula

y-1=-1/3(x-3)

y=-1/3x+2

There are 180 three-digit numbers that leave a remainder of 2 when divided by 5 and 128 three-digit numbers that leave a remainder of 6 when divided by 7.

The smallest 3-digit number to leave a remainder of 2 when divided by 5 is 102.

The next number will be 107, and then 112,

The last 3 digit number to leave a remainder 2 when divided by 5 is 997

Therefore here we get an Arithmetic Progression

102, 107, 112, ..., 997

We know that for any term of an A.P

aₙ = a + (n - 1)d

where,

a = first term

n = the order number of that particular value

d = common difference

Here,

a = 102

d = 107 - 102

= 5

The number of 3 digit number for the above problem will be the value of n for 997

Hence we get

997 = 102 + (n - 1)5

or, 102 + 5n - 5 = 997

or, 5n + 97 = 997

or, 5n = 997 - 97

or, 5n = 900

or, n = 900/5

or, n = 180

Next, we need to find the no. of three-digit numbers that leave the remainder of 6 when divided by 7

The smallest 3-digit number to leave the remainder of 6 when divided by 7 is 104

The largest is 993

Therefore, just like before, we get the A.P

104, 111, 118, ..., 993

here,

a = 104

d = 7

aₙ = 993

Hence we get,

993 = 104 + (n - 1)7

or, 104 + 7n - 7 = 993

or, 97 + 7n = 993

or, 7n = 993 - 97

or, 7n = 896

or, n = 128

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Darcy gave her nail technician a $5.10 tip.

Tip Amount = $5.10

The tip was 6% of the cost of the manicure.

b be the cost of the manicure

So,

6% of cost of the manicure= Tip Amount

6% of b = 5.10

Equation of the cost is :

The equation is : 0.06b = 5.10

The function f(x) = -2|x - 3| + 2 involves a horizontal shift of 3 units to the right, a vertical reflection, and a downward stretch. Its domain is all real numbers, and its range is all real numbers less than or equal to 2.

The function f(x) = -2|x - 3| + 2 is a transformation of the basic absolute value function f(x) = |x|. Let's analyze the transformations and then graph both functions.Transformations:

1. Shifting: The function f(x) = -2|x - 3| + 2 involves a horizontal shift of the absolute value function f(x) = |x|. The term (x - 3) inside the absolute value causes a shift of 3 units to the right.

2. Reflecting: The negative sign in front of the absolute value function reflects the graph across the x-axis. It causes the function to be reflected vertically.

3. Compressing or stretching: There is no compression or stretching factor present in this particular function.

Graph of the basic function f(x) = |x|:

The graph of the basic function f(x) = |x| is a V-shaped graph that passes through the origin (0, 0). It has symmetry with respect to the y-axis.Graph of the given function f(x) = -2|x - 3| + 2:

To graph the given function, we start with the basic absolute value function f(x) = |x| and apply the transformations: a horizontal shift of 3 units to the right and a vertical reflection. The negative coefficient (-2) affects the amplitude, making the graph steeper.

Domain of f(x) = -2|x - 3| + 2:

The domain of the given function is all real numbers since there are no restrictions on the input values of x.

Range of f(x) = -2|x - 3| + 2:

The range of the given function is the set of all real numbers less than or equal to 2, as the vertical reflection and the coefficient (-2) cause the graph to be reflected and stretched downward.

Note: Without specific constraints on the values of x, the domain and range of the given function follow the typical domain and range of absolute value functions.

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Answer:

In this question the value of x is given 29 so put it in the equation to get answer

\(h(x) = {x}^{2} + 4\)

put the value of x = 29 in the above equation

\(h(x) = {29}^{2} + 4\)

so after solving this equation we get our answer

\(h(x)= 841 + 4\)

\(h(x) = 845\)

Hope it helps u mate

if u like leave a thank

Answer:

the variable x=12.5

Step-by-step explanation:

so first you will insert 29 to the equation

29= x2+4

now you subtract 4 from 29

29-4= 25

since you are multiplying you have to do the opposite operation which would be division so now divide 25 by 2

25/2

now insert your answer

h(12.5)=(12.5)2+4

h would be considered 2.32

Answer: C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Option A. is the correct choice.

Step-by-step explanation:

The degree of a monomial is the sum of the exponents of all its variables.

The degree of the given monomial   \(8ab^3\)   is 1+3=4.

Best Regards!

Answer:

32

Step-by-step explanation:

x^2 + 4y = 16 + 20 = 32

Just do substitution.

Hope this helps.

Good Luck

Answer:

12516

Step-by-step explanation:

Given

x² + 4\(y^{5}\)

Substitute x = 4 and y = 5 into the expression

= 4² + 4\((5)^{5}\)

= 16 + 4(3125)

= 16 + 12500

= 12516

Answer:

Step-by-step explanation:

If z is any integer then the next integer to z would be: z+1

And the next:  z+1+1 = z+2 (the largest)

Their sum is 39 so:

z + z+1 + z+2 = 39

3z + 3 = 39

3z = 36

z = 12

z+2 = 12 + 2 = 14

check:

z+1=12+1=13,

14+13+12 = 39

Answer:

Step-by-step explanation:

If diameter is 5, then the radius is 2.5 cm.

Area of circle = πR²

Area = 3.14 * 2.5^2 = 3.14 * 6.25 = 19.625

Circumference = π * Diameter

Circumference = 3.14 * 5 = 15.7

Answer:

Step-by-step explanation:

Objective: find the circumference and area of a circle.

Given values; diameter: 5cm, pie: 3.14.

Step one:

Circumference: pie x diameter

= 3.14 x 5cm = 15.7 cm (circumference)

Step two:

Area: ( pie x radius to the power of 2)

= 3.14 x 6.25 cm

= 19.625 (area)

Mr. Knapp initially had 61 stamps.

Given that Mr. Knapp had some stamps,

if he gave 7 stamps to each of his children, now he would have 5 stamps left.  

If he gave 8 stamps to each child, he would need 3 more stamps in order for the children to have an equal number of stamps.  

We need to find that how many stamps did Mr. Knapp had.

Let's solve the problem step by step.

Let's assume Mr. Knapp has "x" stamps initially.

According to the first condition, if he gave 7 stamps to each of his children, he would have 5 stamps left.

This can be expressed as:

x - 7c = 5,

where "c" represents the number of children.

According to the second condition, if he gave 8 stamps to each child, he would need 3 more stamps in order for the children to have an equal number of stamps.

This can be expressed as:

x - 8c = -3.

We now have a system of two equations with two variables:

x - 7c = 5,

x - 8c = -3.

Let's use the elimination method to eliminate "x" from the equations:

(x - 7c) - (x - 8c) = 5 - (-3),

x - 7c - x + 8c = 5 + 3,

c = 8.

Now that we know the value of "c" is 8, we can substitute it back into either of the original equations to find the value of "x."

Let's substitute it into the first equation:

x - 7(8) = 5,

x - 56 = 5,

x = 5 + 56,

x = 61.

Therefore, Mr. Knapp initially had 61 stamps.

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Answer:

Given

Hope it helps

Step-by-step explanation:

Pressure is the force per unit perpendicular area over which the force is applied

p=F/A

Where f is force and a is area

So P

= F/A

= 76N / 0.049m2

= (76/0.049) Nm2

= 76000/49

= 1551.02

Or 1551 N/m2

nearest is 3.2 that is with whole bumber

The footnote in the research paper states that the traditional levels of significance to reject the null hypotheses were relaxed to the 0.10 level because the research was exploratory in nature. This statement suggests that the researchers intentionally chose a higher level of significance in their statistical analysis.

In response to this footnote, you could provide the authors with the following feedback:
1. Acknowledge the exploratory nature of the research: Begin by recognizing that the authors mentioned the exploratory nature of their study in the footnote. This indicates that they were conducting preliminary investigations or searching for patterns and relationships without any preconceived hypotheses.
2. Explain the concept of statistical significance: Provide a brief explanation of statistical significance, which refers to the probability that the observed relationship between variables is not due to chance. Emphasize that traditionally, a significance level of 0.05 is commonly used to determine whether the relationship is statistically significant.
3. Discuss the rationale for relaxing the significance level: Address the authors' decision to relax the significance level to 0.10. Explain that by doing so, they are allowing for a higher chance of finding statistically significant relationships between the predictor and response variables. This decision may be justified in exploratory research, as it allows for a more liberal approach to hypothesis testing.
4. Highlight the implications of relaxed significance levels: Explain that relaxing the significance level increases the likelihood of finding statistically significant results, even if the true relationships are weak or non-existent. This could lead to an increased risk of Type I errors, where a relationship is detected when there isn't one. It is important to note that relaxed significance levels may generate preliminary findings that require further validation.
5. Suggest additional analysis or caution: Finally, recommend that the authors interpret their findings with caution and consider conducting further research to validate their results. Additionally, they may want to include sensitivity analyses to understand the impact of different significance levels on their conclusions. Encourage them to discuss the potential limitations and implications of their decision to relax the significance level in the paper.

Remember to maintain a respectful and informative tone throughout your response. By providing this feedback, you are helping the authors understand the implications of their choice to relax the significance level and encouraging them to critically evaluate their findings.

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Answer:

c

Step-by-step explanation:

edge 2022

Answer:

D) 5

Step-by-step explanation:

we see that every 4 hours 20 miles are traveled.

so, the rate of change of miles travels over hours is

20/4 = 5/1 = 5

in other words, the speed was 5 mph.

Answer:

See below

Step-by-step explanation:

Attachment 1 : (a) Remember that it mentions x is the years since 1900. That would mean that the table is a bit different. To create this " new table " simply subtract 1900 from the years provided, and substitute.

To create this equation we will need a regression calculator. The equation will be as follows.

y = 0.125873x - 7.11916 ( note that you can double check this equation be substituting points from the table in the attachment )

(b) 2025 - 1900 = 126 years,

y = 0.125873(125) - 7.11916 = $ 8.614965

Minimum Wage : $ 8.614965

Attachment 2 : The rest of the problems can be solved similarly...

(a) Quadratic Regression Equation : - 0.49311x² + 23.2798x + 996.029

(b) - 0.49311(20)² + 23.2798(20) + 996.029 = 1264.381 mg/cm³

Attachment 3 : (a) Exponential Regression : 9.08292(1.09965)ˣ

(b) 9.08292(1.09965)⁶⁰ = \(2713.27743\dots\) ( About 2713 recommendations )

Answer:

32 2/6

Step-by-step explanation:

150% of what number is 49

Can be written as;

1.5x = 49

( To find the percent of a number, one has to move the decimal back two spaces on the percent ( because a percent is out of 100), and then multiply by the number)

Use inverse operations to solve;

1.5x = 49

/1.5     /1.5

x = 32 2/3