Please Help acellus is torture.

Please Help Acellus Is Torture.

Answers

Answer 1

The angle made by the vector is [tex]\theta[/tex] such that

[tex]\tan(\theta) = \dfrac{18.4\,\rm m}{-28.7\,\rm m} \approx -0.6411[/tex]

Before taking the inverse tangent of both sides, recall that [tex]\arctan[/tex] returns a number between -π/2 and π/2 radians, or -90° and +90°. The vector in the diagram clearly makes an angle between 90° and 180°, however, so we use the fact that tangent has a period of π rad / 180° to write

[tex]\theta \approx \arctan(-0.6411) + 180^\circ n[/tex]

where [tex]n\in\Bbb Z[/tex].

Now,

[tex]\arctan(-0.6411) \approx -0.5701 \,\mathrm{rad} \approx -32.6639^\circ[/tex]

Add 180° to this to recover the correct angle.

[tex]\theta = \arctan(-0.6411) + 180^\circ \approx \boxed{147.34^\circ}[/tex]


Related Questions

Use each graph to make a table and to write an equation.​

Answers

Answer:

[tex]y = 3x -2[/tex]

Step-by-step explanation:

Step 1) Find two points from the graph to work with

I would personally use the points (0, -2) and (1, 1) as they are the most comfortable to work with from the given graph.

Step 2) Find the slope

A function's slope is given by the formula:  [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
We can now substitute the coordinates of the points we found in Step 1 in the formula to find the function's slope.

[tex]m = \frac{1 - (-2)}{1 - 0} = \frac 31 = 3[/tex]

Step 3) Find the line's equation

Finally, we can substitute the slope we found in Step 2, as well as one of the points we found in Step 1, into the formula [tex]y - y_1 = m(x - x_1)[/tex] to find the line's equation.

[tex]y - 1 = 3(x - 1)\\\to y - 1 = 3x - 3 \text{ / Add 1}\\\to y = 3x -2[/tex]


Write an equation for the translation of y=2/x that has the given asymptotes. x=-2 and y=3

Answers

Translation of y=2/x that has the given asymptotes. x=-2 and y=3 will be y = 2 / (x+2) + 3

What is meant by an asymptote of a graph?

An asymptote is a line that a graph of a curve continuously approaches but never crosses. Discover the meaning of asymptotes, read a detailed explanation, and learn about the three different asymptotes: vertical, horizontal, and oblique.

The asymptote(s) of a curve may often be found by looking at the limit of a value when the function is not defined. These points include and the point where the numerator of a rational function equals zero, as well as others.

As, x=-2, the vertical asymptote will be (x+2)

y=3, the horizontal asymptote will be 3.

The equation will be -

y = 2 / (x+2) + 3

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find the estimated difference. Round to the nearst whole number 83.92 - 47.23

Answers

The nearest whole number 83.92 - 47.23=37(rounding off)

Given,

83.92 - 47.23=36.69

The whole number is 0,1,2,3...

Rounding a number refers to the act of simplifying a number such that its value remains near to what it was. The outcome of rounding off a number is less precise but more convenient to utilize. We consider the place value of digits in a number when rounding it.

Let us look at an example to better grasp the notion of rounding. Susan walked 2.05 miles, which she estimated to be around 2 miles.

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(6) In a triangle ABC ,AB = (x +1) cm, AC = x cm and angle BAC =30°. If the area of triangle ABC=18 cm². Draw the figure and find the value of x.​

Answers

Answer:   x = 8

The diagram is shown below.

==================================================

Explanation:

Use the SAS triangle area formula to get the following equation.

area = 0.5*side1*side2*sin( angle between those sides)

area = 0.5*AB*AC*sin( angle BAC )

area = 0.5*(x+1)*x*sin(30)

area = 0.5x(x+1)*0.5

area = 0.25x^2+0.25x

Set this equal to the stated area of 18 square cm and solve for x.

0.25x^2+0.25x = 18

4*(0.25x^2+0.25x) = 4*18

x^2+x = 72

x^2+x-72 = 0

(x-8)(x+9) = 0

x-8 = 0 or x+9 = 0

x = 8 or x = -9

Ignore the negative value since we cannot have a negative side length.

The only possible outcome is that x = 8 which leads to x+1 = 8+1 = 9.

The diagram is below.

PLEASE ANSWER Lorie ordered a shed to hold her gardening supplies. The shed had a length of 20.25 ft, a width of 12 ft, and a height of three and one-fifth ft.


Determine the volume, V, using the formula V = lwh.


827.6 cubic ft

777.6 cubic ft

77.76 cubic ft

35.45 cubic ft
hurry!

Answers

The volume of the shred is 777.6 cubic feet

What are volumes?

The volume of a shape is the amount of space inside the shape.

For most regular shapes, the formula of the volume is the product of the base area and the height

How to determine the volume?

The given parameters are

Length = 20.25 ft

Width = 12 ft

Height = 3 1/5 feet

The volume of the shred is calculated using the following volume formula i.e. the volume of a cuboid or rectangular prism

Volume = Length x Width x Height

Substitute the known values in the above equation

So, we have

Volume = 20.25 x 12 x 3 1/5

Evaluate the product in the above equation

So, we have

Volume = 777.6 cubic feet

So, the required volume of the shred is 777.6 cubic feet

Hence, the volume of the shred is 777.6 cubic feet

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E.
DATE
Topic
PERI
mountain road is 5 miles long and gains elevation at a constant rate.
fter 2 miles, the elevation is 5,500 feet above sea level.
Fter 4 miles, the elevation is 6,200 feet above sea level. (Lesson 3-6)
Find the elevation of the road at the point where the road begins.

Answers

Step-by-step explanation:

this is about the overall slope of the mountain road.

remember, the slope is (y change / x change). in this case it is elevation change / distance change.

getting from 2 to 4 miles the changes are

distance changes by +2

elevation changes by + 700 (from 5500 to 6200).

the slope is +700/+2 = 350/1 = 350.

the road begins at distance = 0.

the elevation of the begin of the road = x.

so going from 2 miles down again to 0 the changes are

distance changes by -2 (from 2 to 0)

elevation changes by x - 5500 (from 5500 to x).

the slope there must be the same as the slope further up (as it is said it has a constant rate) :

(x - 5500)/-2 = 700/2

(5500 - x)/2 = 700/2

5500 - x = 700

x = 5500 - 700 = 4,800 ft

the road started at an elevation of 4,800 ft above sea level.

3x + 5 ≤1 or 8-x<5
How do I solve this???

Answers

I solved it here. I hope this helps :)

PLEASE HELP ASAP 100 PTS WILL MARK BRAINLIEST FOR THE PERSON WHO ANSWERS ALL CORRECT FIRST

1. State whether the Law of Detachment or the Law of Syllogism was used to draw the conclusion from the given statements. If it's an invalid conclusion, select invalid.

Given: If the Patriots win their next game, then they will win their division.

Given: If the Patriots win their next game, then they willl go to the playoffs.

Conclusion: If the Patriots win their division, theny they will go to the playoffs.

2. State whether the Law of Detachment or the Law of Syllogism was used to draw the conclusion from the given statements. If it's an invalid conclusion, select invalid.

Given: If two lines are parallel, then they never intersect.

Given: If two lines never intersect, then they have the same slope.

Conclusion: If two lines are parallel, then they have the same slope.

3. State whether the Law of Detachment or the Law of Syllogism was used to draw the conclusion from the given statements. If it's an invalid conclusion, select invalid.

Given: If you sell $1000 worth of popcorn, then your Boy Scout dues are free.

Given: If Ethan sold $1000 worth of popcorn.

Conclusion: Ethan's Boy Scout dues are free.

4.
State whether the Law of Detachment or the Law of Syllogism was used to draw the conclusion from the given statements. If it's an invalid conclusion, select invalid.

Given: If you are at least 18 years old, then you can apply for a credit card.

Given: Kelly applied for a credit card.

Conclusion: Kelly is at least 18 years old.

Answers

Using the Laws of Detachment and Syllogism, the conclusions can be described as follows:

1. Invalid.

2. Law of Syllogism.

3. Law of Detachment.

4. Invalid.

What are the Law of Detachment and the Law of Syllogism?

The Law of Detachment makes it possible to conclude the hypothesis from the conclusion, that is, if both p and p -> q are true, then q is also true.The Law of Syllogism states that if p -> q and q -> r are true, the p -> r is also true, basically applying the transitive property.

For item 1, the events are given as follows:

p: Patriots win their next game.q: Patriots win their division.r: Patriots go to the playoffs.

Neither of the laws are reached in the conclusion, hence we have an invalid conclusion.

For item 2, the transitive property was applied correctly, hence the Law of Syllogism was used.

For item 3, p and p -> q are true, then we concluded that q is true, hence the Law of Detachment was used.

For item 4, we have an invalid conclusion, as we have p -> q and q, but no conclusion can be reached regarding p.

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8x-6y=6

3 plot points for a graph

Answers

Answer/Step-by-step explanation:

8x - 6y = 6

-8x -8x

-6y = -8x + 6

÷-6 ÷-6 ÷-6

y = (4/3)x - 1

Point 1: (0, -1)

Point 2: (3, 3)

Point 3: (6, 7)

I hope this helps!

Jonathan spent 20.5 hours at the beach this summer. how many minutes did he spend at the beach?

Answers

Answer:

1230 minutes

Step-by-step explanation:

All you have to do is multiply 20.5 times 60. Since 60 minutes are in an hour and there is 20.5 hours.

*Please mark brainliest answer

PLEASE HELP ME WILL GIVE THE FIRST PERSON 15 POINTS Solve x – 7 = 10. x = 0.7 x = 70 x = 17 x = 3

Answers

Answer:

x = 17

Step-by-step explanation:

x - 7 = 10

17 - 7 = 10


Find each real root. 4√1/160,000

Answers

The value of real root 4√1/160,000 is 1.5625e-6.

By considering the given value

4√1/160,000

=(6.25e-6)^1/4

=1.5625e-6

The values of x where the function's graph actually crosses the x-axis are known as real roots. Any roots without a I term are real roots. Imaginary roots are x-values that set the function to zero but do not actually cause the graph to cross the x-axis.

If there are no stationary points on the curve, then f has a single real root. If stationary points are found, you could demonstrate using the geometry of the curve that the curve can only intersect the x axis once due to the configuration of the stationary points.

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The velocity of the water that flows from an opening at the base of a tank depends on the height of water above the opening. The function v(x)=√2gx models the velocity v in feet per second where g , the acceleration due to gravity, is about 32ft/s² and x is the height in feet of the water. What is the depth of water when the flow is 40ft/s, and when the flow is 20ft/s ?How can you use the inverse function to help you find the answer?What restrictions are on the domain of v(x) ? of v⁻¹(x) ?

Answers

The depth is 0.884 feet when the water flows at 40 ft. / s and the depth is 0.442 feet when the water flows at 20 ft. / s.

We are given the function:

v(x) = √2 g x

where v = velocity

g = gravity's acceleration

x = height / depth of water

Also, we are given that g = 32 ft. / s²

Now, we have v = 40 ft. / s

So, we get that:

40 = √ 2 (32) x

40 / 32 = √ 2 x

5 / 4 = √2 x

x = 5 / 4√2

x = 0.884 feet.

Now, we have v = 20 ft. / s

So, we get that:

20 = √ 2 (32) x

20 / 32 = √ 2 x

5 / 8 = √2 x

x = 5 / 8√2

x = 0.442 feet.

Therefore, we get that, the depth is 0.884 feet when the water flows at 40 ft. / s and the depth is 0.442 feet when the water flows at 20 ft. / s.

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Which of the following are TRUE of line graphs?
(MORE THAN ONE ANSWER)

They often will have the independent variable in the x-axis and the dependent variable in the y-axis.

They can be used for density curves.

They are often used to indicate continuity in the data. (i.e. no gaps)

They are always straight lines.​

Answers

All of the statements are true.

- They often will have the independent variable on the x-axis and the dependent variable on the y-axis.

- They can be used for density curves.

- They are often used to indicate continuity in the data. (i.e. no gaps)

- They are always straight lines.

What is a line graph?

A line graph is a type of chart used to show information that changes over time.

We have,

- They often will have the independent variable on the x-axis and the dependent variable on the y-axis.

This statement is true because the independent variable belongs on the x-axis (horizontal line) of the graph and the dependent variable belongs on the y-axis (vertical line).

- They can be used for density curves.

A density curve is a graph that shows probability.

This statement is true.

- They are often used to indicate continuity in the data. (i.e. no gaps)

Line graphs can be used for continuous data on the y-axis since continuous data are measured on a scale with many possible values.

This statement is true.

- They are always straight lines.​

We plot line graphs using several points connected by straight lines.

This statement is true.

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a call center receives 25 callers per minute on average. on average, a caller spends1 minute on hold and 3.5 minutes talking to a service representative. on average, howmany callers are "in" the call center (meaning that they are either on hold or talking to aservice representative)?question 2 options:a) 87.5 callersb) 25 peoplec) 112.5 callersd) 1500 callers

Answers

The average number of callers in the call centre is 112.5.

Number of callers received by the call centre per minute = 25

Average time each person spends on hold = 1 minute

Average time each caller spends talking = 3.5 minutes

The total amount of time of spending by each caller in the call centre is,

= Time spend on hold + Time spend on talking

= 1 + 3.5

= 4.5 minutes

The total amount of time spent by each caller in the call centre is 4.5 minutes.

The average number of callers in the call centre is,

= Total time spent in the call centre × Number of callers per minute

= 4.5 × 25

= 112.5

Therefore, the average number of callers in the call centre is 112.5.

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Pls give answer asap!

Answers

The numeric value at x = 12 for the given piecewise function is:

g(12) = 10.

What is a piecewise-defined function?

A piecewise-defined function is a function that has different definitions, depending on the input of the function.

How to find the numeric value of a function/expression?

To find the numeric value of a function, we replace each instance of the variable in the function by the desired value. For example, to find f(12), we replace each instance of x by 12.

From the piecewise function given in the problem, the definition for x = 12 is given by the following rule:

g(t) = 5t/6.

Hence the numeric value is:

g(12) = 5 x 12/6 = 5 x 2 = 10.

The numeric value at x = 12 for the given piecewise function is:

g(12) = 10.

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Use f(x) = |x|
f(x) is shifted left 5 and shifted up 2 to create g(x). Write the equation g(x).
g(x)=

....i dk if you need this or not but if you do it is here: g(x) = |x + 2| + 1

Answers

Answer:

[tex]g(x) = f(x + 5) + 2[/tex], or [tex]g(x) = | x + 5| + 2[/tex]

Step-by-step explanation:

To shift f(x) left 5, we should add 5 to x.
That way, each value of the new function takes the value of 5 tiles right in the original function.

So far, we have [tex]g(x) = f(x + 5)[/tex].

We also need to shift it up 2, therefore, we should add 2 to every y value.

Therefore, we have [tex]g(x) = f(x + 5) + 2[/tex].

15. Chip earns
a base salary of $500 per month
as a salesman. In addition to the
salary, he earns $90 per product that he sells. If his goal is to earn $5000 per
month, how many products does he need to sell?

Answers

According to the linear equation, he has to sold 50 products to collect a amount of 5000 rs.

According to the statement

We have to find that the value of the products he sold.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

Chip earns a base salary of $500 per month as a salesman. In addition to the salary, he earns $90 per product that he sells. If his goal is to earn $5000 per month.

Then

The equation become

90x + 500 = 5000

Here x is the product he sold

Then

90x + 500 = 5000

90x  = 5000 - 500

90x = 4500

x = 4500/90

x =  50.

So, According to the linear equation, he has to sold 50 products to collect a amount of 5000 rs.

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Will the probability of winning plus the probability of losing always equal 1?​

Answers

Answer:

[tex] \sf \huge \fbox{{No}}[/tex]

Step-by-step explanation:

Consider an event or an competition is going on. two competetors (let A & B) are racing with each other to win something. Let's see what are the possible events that can occur,

Event 1- Competetor A wins the race against B

Event 2- Competetor B wins the race against B

Event 3- Match draw, either both of them are winner or none of them are winner.

So there are three possible events that can occur & we know that total probability always equals one, let's calculate the probability for each event individually.

The probability of occuring each event is equal, hence,

[tex] \sf Probability \: of \: winning \: p(w)= \frac{1}{3} [/tex]

[tex] \sf Probability \: of \: losing \: p(l)= \frac{1}{3}[/tex]

[tex] \sf Probability \: of \: match \: draw \: p(d)= \frac{1}{3}[/tex]

Now,

the sum of probability of winning & probability of losing,

[tex]p(w) +p(l) = \frac{1}{3} + \frac{1}{3} = \frac{2}{3} ≠1[/tex]

Hence, the result is contradiction to the statement the probability of winning plus the probability of losing always equal 1.

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All students in peters class have $1.05, consisting of nickels and or dimes and or quarters. each student has a different combination of coins. what is the probability peter is unable to give his friend jenny change for $1.00

Answers

Answer:

2 is to 4

Step-by-step explanation:

when u comnbkdkd the osapkbdbd

Answer:

Step-by-step explanation:

Answer: 2/31

Explanation: When doing this question, it is best to make a chart with all the possibilities. From there, look and see which possibilities cannot get a change of a dollar to get the answer.

Write the equation of the given circle below.

Answers

I don't know the answer of this too
Please someone help

John's annual gross income is
$87,600, but FICA is deducted
from his paycheck, and 23% of
his salary is withheld for income
taxes (federal, state, and local
combined), as well. If his
employer pays 60% of the cost of
a $2500-per-year health
insurance plan, and if health
insurance is John's only optional
deduction, what is his monthly
take-home pay?

Answers

Based on the annual gross income to John, the FICA amount that is deducted and the salary withheld for 23%, John's monthly take-home pay is $5,537.67

How to find John's take-home pay?

First, find the cost of the per-year health insurance plan that John pays:

= (1 - 60%) x 2,500

= 40% x 2,500

= $1,000

The annual take home pay is:
= 87,600 - 1,000 - (87,600 * 23%)

= 87,600 - 1,000 - 20,148

= $66,452

The monthly take-home pay is:

= 66,452 / 12

= $5,537.67

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Solve each equation. Check your answers.
ln x-1/2=4

Answers

After solving the equation ln x-1/2=4, the value of x is equal to  [tex]e^{4.5}[/tex]

How to solve an equation?

To solve linear equations, utilize the steps that are provided below.

Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

We have been asked to find x in ln x-1/2=4

⇒ ln x-1/2=4

⇒ ln x = 4 + 1/2

⇒ ln x = 4.5

⇒ x = [tex]e^{4.5}[/tex]

Thus x = [tex]e^{4.5}[/tex], in the equation ln x-1/2=4

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In an independent random sample of 10 juniors and 10 seniors, the number of minutes spent on social media per day are given by the back-to-back stem-and-leaf plots.
Time Spent on Social Media
Juniors
Seniors
2 11
51
542 13
8 14
12 3
6
15
16 6
17 25
18 36
5 19 147
0 20 1
Key: 1215-125
Part A: Describe the shape of each data set. (4 points)
Part B: Wyatt analyzed the data and stated that the better measure of center for the seniors is the mean. Is Wyatt correct? Explain your reasoning. (5 points)
Part C: Wyatt decided there are no outliers in the juniors' data set. Is he correct? Justify your answer mathematically. (5 points)

Answers

From the stem-and-leaf plot, and statistical concepts such as mean, median and IQR, we have that:

a) The distribution of Juniors is right skewed, while the distribution of Seniors is left skewed.

b) Since the distribution is skewed, Wyatt is not correct, as the better measure of center is the median.

c) Wyatt is correct that there are no outliers in the juniors' data-set, as there are no measures that are more than 1.5 IQR below Q1 or above Q3.

What is a stem-and-leaf plot?

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

From the graphed plot at the end of the answer, the Junior's measures are given as follows:

112, 121, 125, 132, 134, 135, 146, 156, 195, 200.

The Seniors' measures are given as follows:

123, 166, 172, 175, 183, 186, 191, 194, 197, 201.

How to classify the shape of a distribution?

To classify the shape of a distribution, we have to find the mean and the median, which are defined as follows:

The mean of a data-set is given by the sum of all observations divided by the number of observations.The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile, also called the middle value of the distribution.

Then the classifications are given as follows:

Right skewed: Mean > Median.Left skewed: Median > Mean.

For Juniors, we have that:

The median is of (134 + 135)/2 = 134.5.The mean is of (112 + 121 + 125 + 132 + 134 + 135 + 146 + 156 + 195 + 200)/10 = 145.6.

Hence the distribution is right skewed, as mean > median.

For Seniors, we have that:

The median is of (183 + 186)/2 = 184.5.The mean is of (123 + 166 + 172 + 175 + 183 + 186 + 191 + 194 + 197 + 201)/10 = 178.8..

Hence the distribution is left skewed, as median > mean.

For item b, we have that:

Since the distribution is skewed, Wyatt is not correct, as the better measure of center is the median.

What are the quartiles of a distribution, and how they are related to outliers?

The first quartile Q1 is the median of the first half of the data-set.The third quartile Q3 is the median of the second half of the data-set.The interquartile range(IQR) is the difference between Q3 and Q1.A measure is considered to be an outlier if it is more than 1.5 IQR below Q1 or more than 1.5 IQR above Q3.

For juniors' data-set, we have that:

The first half is 112, 121, 125, 132, hence Q1 = (121 + 125)/2 = 123.The second half is 146, 156, 195, 200, hence Q3 = (156 + 195)/2 = 175.5.Hence the IQR is: 175.5 - 123 = 52.5.

The bounds for outliers are given as follows:

123 - 1.5 x 52.5 = 44.25.123 + 1.5 x 52.5 = 201.75.

Hence, for item c:

Wyatt is correct that there are no outliers in the juniors' data-set, as there are no measures that are more than 1.5 IQR below Q1 or above Q3.

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Solve for x: 3 06 06>x>9
00 00>x>3

Answers

Answer:

here Multiply

4

by

1

.

x

=

6

±

36

4

27

2

1

Multiply

4

by

27

.

x

=

6

±

36

+

108

2

1

Add

36

and

108

.

x

=

6

±

144

2

1

Rewrite

144

as

12

2

.

x

=

6

±

12

2

2

1

Pull terms out from under the radical, assuming positive real numbers.

x

=

6

±

12

2

1

Multiply

2

by

1

.

x

=

6

±

12

2

Simplify

6

±

12

2

.

x

=

3

±

6

The final answer is the combination of both solutions.

x

=

9

,

3

Step-by-step explanation:

slope 3, passes through (0,-2) in slope intercept form

Answers

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\hspace{10em} \stackrel{slope}{m} ~=~ 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{ 3}(x-\stackrel{x_1}{0}) \implies y +2= 3 (x -0) \\\\\\ y+2=3x\implies y=3x-2[/tex]

Can someone help I really need it

Answers

Answer:

A) -1 B) -3 C) -7

Step-by-step explanation:

A) -2(-1)-3=2-3=-1

B) -2×0-3=0-3=-3

C) -2×2-3=-4-3=-7

What would be your preferred measure of central tendency if you had the following data: 57 males and 23 females?

Answers

The preferred measure of central tendency for the following data is Mode.

Given,

Number of males = 57

Number of females = 23

The preferred measure of central tendency for the given data is Mode.

Mode

The mode is the number in a set of numbers that appears the most often. The mean of a set of numbers is the sum of all the numbers divided by the number of values in the set.

To find the mode manually, arrange the numbers in ascending or descending order, then count how often each number appears. The number that appears most often is the mode. It's now easy to see which numbers appear most often

Learn more about mode here: https://brainly.com/question/14300844

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Pls help I’m really confused

Answers

Answer:

Negative.

Step-by-step explanation:

Adding B to A brings the total below zero. making it negative.

Find the least integer greater than each number. Do not use a calculator.
log₁.₅2.5

Answers

The answer to this question is log₁.₅ 2.5 = 3

A logarithm is the degree to which a number must be raised in order to produce another number. For instance, the logarithm of 100 in base ten is 2, since ten multiplied by two equals 100: log 100 = 2, since 10² = 100.

Let y = log₁.₅ 2.5

We know, logₐ x = y, only if  a^y= x

Therefore, 1.5^y= 2.5

So, we must find an integer y such that 1.5 &gt; 2.5

1.5^y &gt; 2.5

1.5^3 &gt; 2.5

(As, 1.5² = 2.25; 1.5³ = 3.375)

(Since, 1.5² &lt; 2.5, the answer will be 1.5³, as 1.5³ &gt; 2.5)In this case, y = 3 will be the least integer to satisfy this inequality.

Therefore, the the value of the equation log₁.₅ 2.5 is 3

Find more about logarithms here brainly.com/question/13594584

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