Pls help thanks!!!!!!!!!!!

Pls Help Thanks!!!!!!!!!!!

Answers

Answer 1

Answer:

Put your calculator in degree mode.

sin(13°) = 500/x

x sin(13°) = 500

x = 500/sin(13°) = 2,222.7 miles

Answer 2

Using a trigonometric relation we can see that x =  2,222.7 ft

How to find the value of x?

We can see a right triangle, there we can see that one of the angles has a measure of 13°.

The opposite cathetus has a measure of 500ft, and we want to find x, which is the hypotenuse.

Then we can use the relation:

sin(a) = (opp cathetus)/hypotenuse

Replacing what we know, we will get:

sin(13°) = 500/x

Solving that for x:

x = 500/sin(13°) = 2,222.7 ft

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Related Questions

Four cars are for sale. The red car costs $15,000, the blue car costs $18,000, the green car costs $22,000, and the white car costs $20,000. Use the table to identify all possible samples of size n = 2 from this population and their sample minimums. The first sample is done for you.


Sample
n = 2 R, B R, G R, W B, G B, W G, W
Costs
($1000s) 15, 18 15, 22 15, 20 18, 22 18, 20 22, 20
Sample
Mean 15 15 15 18 18 20

What is the mean of all six sample minimums?

What is the value of the population minimum?

Is the sample minimum an unbiased estimator of the population minimum?

Answers

Answer:

Step-by-step explanation:The six sample minimums are 15, 15, 15, 18, 18, and 20.

To find the mean of all six sample minimums, we add them up and divide by 6:

(15 + 15 + 15 + 18 + 18 + 20) / 6 = 16.1667

So the mean of all six sample minimums is $16,166.67.

The population minimum is the smallest cost among the four cars, which is $15,000.

The sample minimum is a biased estimator of the population minimum. Since the samples are of size 2, the probability of obtaining the population minimum as the sample minimum is only 1/3 (when the minimum of the two cars selected is the population minimum). Therefore, the sample minimum tends to underestimate the population minimum.

what point on number line is 7/9 the way from the point -3.6 to the point 10?

Answers

The point on the number line that is 7/9 of the way from -3.6 to 10 is approximately 6.97777777778.

To find the point on the number line that is 7/9 of the way from -3.6 to 10, we can use the following formula:

Point = Starting point + (Fraction of distance) x (Total distance)

In this case, the starting point is -3.6, the total distance is the distance from -3.6 to 10 (which is 10 - (-3.6) = 13.6), and the fraction of distance is 7/9.

Plugging in these values, we get:

Point = -3.6 + (7/9) x (13.6)

Simplifying,

Point = -3.6 + (7/9) x (13.6)

Point = -3.6 + 9.9556

Point = 6.97777777778

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What is the slope of a line that passes through the points (-2, 3) and (4, -12)?Choices -3/2 -5/2 -2/5 -9/2

Answers

Answer:

B) - 5/2

--------------------------

To find the slope use the slope formula:

[tex]m=\cfrac{y_2-y_1}{x_2-x_1}[/tex],   where, [tex]x_1=-2,\ y_1=3,\ x_2=4,\ y_2=-12[/tex]

Substitute the coordinates into slope formula to get the slope:

[tex]m=\cfrac{-12-3}{4-(-2)}=\cfrac{-15}{6}=-\cfrac{5}{2}[/tex]

The matching choice is B.

b) Find the value of w. Sive each answer as an integer or as a fraction in its simplest form 4 cm A 7 cm 12 cm 3 cm B W cm 9 cm​

Answers

The calculated value of w from the similar triangles is 21/4

Calculating the value of w

From the question, we have the following parameters that can be used in our computation:

Similar triangles A and B

Also from the similar triangles, we have the following proportional relation

4    7     12

3    W     9

Using the above as a guide, we have the following equation

4/3  =  7/W  =   12/9

So, we have

W * 12 = 7 * 9

Evaluate the products and divide both sides by 12

W = 21/4

Hence, the value of W is 21/4

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At a large university, 20% of students are enrolled in the nursing program. The dean of students selects a random sample of 20 students and records n the number of students enrolled in the nursing program. What is an appropriate assignment of digits to the outcomes for a simulation of this random process? = O Let 1 = the student is enrolled in the nursing program. Let 2-5 = the student is not enrolled in the nursing program. Skip the digits 6-9, and 0. ○ Let 0 and 1 = the student is enrolled in the nursing program. Let 2-5 = the student is not enrolled in the nursing program. Skip the digits 6, 7, 8, 9, and 0. O Let 1 = the student is enrolled in the nursing program. Let 2-9 = the student is not enrolled in the nursing program. Skip the digit 0. O Let 1 and 2 = the student is enrolled in the nursing program. Let 3-9 = the student is not enrolled in the nursing program. Skip the digit 0.​

Answers

An appropriate assignment of digits to the outcomes for a simulation of this random process would be:

Option 1: Let 0 and 1 = the student is enrolled in the nursing program. Let 2-5 = the student is not enrolled in the nursing program. Skip the digits 6, 7, 8, 9, and 0.

This option assigns two digits, 0 and 1, to represent the two possible outcomes: a student is either enrolled in the nursing program (outcome 1) or not enrolled (outcome 2-5). The digits 2-5 represent the non-nursing program outcomes, and the digits 6-9 and 0 are skipped.

Option 1 is appropriate because it assigns a unique digit to each possible outcome, and the skipped digits are not relevant to the simulation. Additionally, the proportion of digits assigned to each outcome (2 out of 10) corresponds to the proportion of students in the nursing program (20%).

Rebecca Kate Foster is starting a new job. She is 23 years old and graduated from college
with no student loan debt. This is her only job, and she makes a salary that allows her to
bring home $3,300 a month. She's not married and has no children or anyone else who
is supported by her income. Over the past year, she has given a total of $3,960 to charity.
Her address is 1234 Main St., New York, NY 12345, and her Social Security number is
123-45-6789.

Answers

Note that the above prompt requires you to under stand what a W-4 form is  and how to complete one.

What is the process for comleting the W-4 form?

Rbecca needs to s tart by entering your personal information in boxes 1-4, including your name, address, Social Security number, and filing status. In this case, Rebecca Kate Foster's information is:

Box 1: Rebecca Kate Foster

Box 2: 1234 Main St.

Box 3: New York, NY 12345

Box 4: 123-45-6789

Box 5: Single

In box 6, write "1" since Rebecca only has one job.

Rebecca can claim the standard deduction or itemize deductions in box 7. She may benefit from itemizing deductions because she has donated $3,960 to charity in the last year.

Rebecca can claim whatever excess tax withholding she wants each paycheck in box 8. She may not need to withhold any further taxes because she has no dependents and is not married. If she prefers, she can leave this section blank.

Rebecca can claim any extra withholding for the year in box 9. If she anticipates to owing taxes at the end of the year, she may want to withhold more from each paycheck to prevent a hefty tax payment later. If she anticipates a reimbursement, she should withhold less. She can use the IRS's withholding calculator to determine the right amount.

Finally, sign and date the form in box 5 before submitting it to your company.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

DIRECTIONS Read the scenario below and fill out the W-4 form using the information provided. Then, read the W-2 form and answer the questions that follow. W-4 Form Rebecca Kate Foster is starting a new job. She is 23 years old and graduated from college with no student loan debt. This is her only job, and she makes a salary that allows her to bring home $3,300 a month. She’s not married and has no children or anyone else who is supported by her income. Over the past year, she has given a total of $3,960 to charity. Her address is 1234 Main St., New York, NY 12345, and her Social Security number is 123-45-6789.


If the recommended adult dosage for a drug is D (in mg), then to determine the appropriate dosage e for a child of age a, pharmacists use the equation c = 0.0417D(a + 1).

Suppose the dosage for an adult is 150 mg.
(a) Find the slope of the graph of e. (Round your answer to two decimal places.)
P
What does it represent?

The slope represents the Select of the dosage for a child for each change of 1 year in age.
(b) What is the dosage for a newborn? (Round your answer to two decimal places.)
ma

Answers

a) The slope shows that the appropriate dose c for an older child increases by 6.225 mg if the child is one year older.

b) The dose for newborn baby is: 6.225 mg

How to interpret the slope?

The equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

(a) Let a be an age of an child in years. Then:

c = 0.0417Da + 0.0417D

Where D is a constant

Since D = 150 mg, then we have:

The slope of the graph = 0.0417(150)

= 6.225 mg/year

The slope shows that the appropriate dose c for an older child increases by 6.225 mg if the child is one year older.

(b) Newborn baby:  a=0

Thus:

c(0) = 0 + 6.225

= 6.225 mg

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3 dependent events. A bag contains ten balls. Six of the balls are green. A ball is chosen at random. The ball is replaced and then a second ball is chosen at random. Work out the probability that: a)both balls are green b)neither ball is green​

Answers

The Probability of both balls being green is  0.36 or 36%

b) The Probability of neither ball being green is 0.16 or 16%

What is the Probability  about?

Based on question A,  To find the probability that both balls are green, we use the equation below:

P (both green) = P (first green) x P (second green)

= (6/10) x (6/10)

= 36/100

= 9/25

=0.36

b) To find the probability that neither ball is green,  we use the formula below:

P (neither green) = P (first not green) x P (second not green)

= (4/10) x (4/10)

= 16/100

= 4/25

=0.16.

Therefore, the statement will be:  The Probability of both balls being green: 0.36 and the probability of neither ball being green is 0.16

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Sarah's bird feeder holds 1/2 of a cup of birdseed. Sarah is filling the bird feeder with a scoop that holds 1/4 of a cup. How many scoops of birdseed will Sarah put into the feeder?

Answers

The number of scoops of birdseed Sarah puts in the feeder n = 2

Given data ,

Let the number of scoops of birdseed Sarah puts in the feeder be n

While utilizing a scoop that can contain 1/4 cup of birdseed, Sarah's bird feeder holds 1/2 cup of birdseed. We must divide the capacity of the bird feeder by the capacity of the scoop to determine how many scoops Sarah will add to the feeder.

On simplifying the equation , we get

1/2 ÷ 1/4 = n

n = 1/2 x 4/1

n = 4/2

n = 2 scoops

Hence , the equation is solved and n = 2

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Factor cards is a one - player game using numbered cards. To begin with, all cards are in a central pile with their numbers visible. At each turn , exactly one card is moved from the central pile to the score pile and one or more cards are moved from central pile to the discard pile according to these rules.
Rule 1: A card may be moved to the score pile only if the number on the card has at least one of its factors, other than itself, still on the central pile.
Rule 2: When a card is moved to the score pile, all the cards that have factors of its number and are still in the central pile are moved to the discard pile.
Play stops when no card in the control pile has a factor other than itself in the central pile. The players score is the sum of all numbers on the cards in the score pile at the end of play.
In the following questions, the game starts with 20 cards numbered 1 to 20 and are therefore called 20-games.
A) Show steps that will produce a score of more than 100 points in a 20- game
B) What is the maximum score for a 20- game. Explain why it is the maximum
C) Explain why every 20- game ends with 8 or fewer cards in the score pile .

Answers

The match terminates as soon as the central heap runs out of cards whose factor are not present elsewhere, resulting in a score of 92 - falling short from 100.

How to explain the information

It should be noted that to acquire a higher point achievement, alternative approaches can be tested; however, reaching beyond the hundred mark is not guaranteed.

Conversely, with each 20-game, the final outcome should contain 8 or fewer pieces in the tally pile since there are strictly 17 cards eligible to be shifted into this collection. Subsequently, due to the 138 maximum points potential (stated in part B), and the entire set amounting for 210 points - the minimum count for items within the discard pool will be 3 (as calculated from 20 - 17).

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Consider the quadratic function f (x) = 2x² - 16x + 24. Complete the square to rewrite the function in the form
f(x)= a(x-h)² + k.
f(x) =

Answers

The quadratic function f(x) = 2x² - 16x + 24 can be rewritten in the vertex form f(x) = 2(x - 4)² + 4.

What is the vertex form of the given function?

Given the function in the question:

f(x) = 2x² - 16x + 24

To determine the vertex form f(x) = a(x-h)² + k, we need to complete the square.

Factor out the leading coefficient of 2:

f(x) = 2x² - 16x + 24

f(x) = 2(x² - 8x + 12)

To complete the square, we need to add and subtract the square of half of the coefficient of x:

f(x) = 2[(x² - 8x + 16) - 4] + 8

Since (x² - 8x + 16) is a perfect square trinomial, we factored as (x - 4)².

f(x) = 2[(x - 4)² - 4] + 8

Now we can simplify and rewrite in the desired form:

f(x) = 2(x - 4)² - 4 + 8

f(x) = 2(x - 4)² + 4

Therefore, the vertex form is f(x) = 2(x - 4)² + 4.

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(HURRY PLEASE!!) First, a graph of f(x) = -x + 3 is drawn. Then, three graphs of k(-x + 3) are drawn, for k = -1, -2, -3. Which will be true of these three graphs? A. Their slopes will be the same as the slope of f(x), and their x-intercepts will be the same as the x-intercept of f(x). B. Their slopes will be the same as the slope of f(x), and their x-intercepts will be different from the x-intercept of f(x). C. Their slopes will be different from the slope of f(x), and their x-intercepts will be the same as the x-intercept of f(x). D. Their slopes will be different from the slope of f(x), and their x-intercepts will be different from the x-intercept of f(x).

Answers

The true statement about the graphs:

Their slopes will be different from the slope of f(x), and their x-intercepts will be the same as the x-intercept of f(x).

The correct answer is an option (C)

First we draw a graph of function f(x) = -x + 3.

Find the graph in attached figure.

the x-intercept of f(x) is:

0 = -x + 3

i.e., x-intercept = (3, 0)

Then, three graphs of k(-x + 3) are drawn, for k = -1, -2, -3.

Let g(x) = -1(-x + 3)

The x-intercept of g(x) would be,

0 = -1(-x + 3)

i.e., x-intercept = (3, 0)

Let h(x) = -2(-x + 3)

The x-intercept of h(x) would be,

0 = -2(-x + 3)

2x = 6

i.e., x-intercept = (3, 0)

Let t(x) = -3(-x + 3)

The x-intercept of t(x) would be,

0 = -3(-x + 3)

3x = 9

i.e., x-intercept = (3, 0)

the graph of functions g(x), h(x) and t(x) is shown below.

We can observe that the x-intercept is same for all graphs but the slopes are different.

Therefore, the correct answer is an option (C)

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Please help !!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

It does not belong because like the other ones it is not side ways, as well as it's common sense.

A function, f(x), has degree of 4. If f(x) has 2 complex zeros then how many real zeros does it have?

Answers

If it has 2 complex zeros, then it must have 2 real zeros.

How many real zeros does it have?

Remember that the number of zeros that a polynomial of degree N has is also N.

For example in functions like:

f(x) = x^N

We can say that the zero x = 0 has a multiplicity of N, so we have N equal zeros.

Then a polynomial of degree 4 has 4 zeros, if two are complex, then the other two are real zeros.

So we conclude that the answer is 2.

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At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people lived in the pueblo. Wood from several excavations gave a mean of (year) 1252 with a standard deviation of 39 years. The distribution of dates was more or less mound-shaped and symmetric about the mean. Use the empirical rule to estimate the following.
(a) a range of years centered about the mean in which about 68% of the data (tree-ring dates) will be found
between
and
A.D.

(b) a range of years centered about the mean in which about 95% of the data (tree-ring dates) will be found
between
and
A.D.

(c) a range of years centered about the mean in which almost all the data (tree-ring dates) will be found
between
and
A.D.

Answers

a) The range of years centered about the mean in which about 68% of the data in between 1291 or 1213.

b) The range of years centered about the mean in which about 95% of the data in between 1330 or 1174.

c) The range of years centered about the mean in which about 95% of the data in between 1369 or 1135.

We have,

Mean= 1252

Standard deviation= 39

a) The range of years centered about the mean in which about 68% of the data

= 1252 ±39

= 1252 + 39 or 1252 -39

= 1291 or 1213

b) The range of years centered about the mean in which about 95% of the data

= 1252 ± 2(39)

= 1252 + 78 or 1252- 78

= 1330 or 1174

c) The range of years centered about the mean in which about 95% of the data

= 1252 ± 3(39)

= 1252 + 117 or 1252- 117

= 1369 or 1135

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Al had ____ Pennie’s initially

Answers

AI initially had 786,432 pennies.

We have,

Let P be the initial number of pennies AI had.

According to the problem:

AI gives 3/8 of P pennies to Bev.

Bev gives 3/8 of what she got from AI to Carl.

Carl gives 3/8 of what he got from Bev to Dani.

Set up an equation to solve for P.

Let's start by finding how many pennies Dani gets from Carl:

Carl gives 3/8 of what he got from Bev to Dani, so Dani gets:

(3/8) x (3/8) x (3/8) x P pennies from Carl.

Next, let's find how many pennies Carl gets from Bev:

Bev gives 3/8 of what she got from AI to Carl,

So Carl gets (3/8) x (3/8) x P pennies from Bev.

Now we can substitute this expression for the number of pennies Carl gets from Bev into the expression for the number of pennies Dani gets from Carl:

Dani gets (3/8) x (3/8) x (3/8) x P pennies from Carl = (3/8) x (3/8) x (3/8) x (3/8) x P pennies from Bev =  (3/8) x (3/8) x (3/8) x (3/8) x (3/8) x P pennies from AI.

We know that Dani gets 378 pennies, so we can set this expression equal to 378 and solve for P:

(3/8) x (3/8) x (3/8) x (3/8) x (3/8) x P = 378

Simplifying this expression:

P = 378 x (8/3) x (8/3) x (8/3) x (8/3) x (8/3)

P = 786,432

Therefore,

AI initially had 786,432 pennies.

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7. Based on an exponential model of the data, what is the predicted value of Variable 2 when
Variable 1 = 2?
Round your answer to the nearest whole number.
Variable 1:
10
20
30
40
50
60
70
80
90
100
variable 2:
100
80
52
40
35
25
17
11
10
7

Answers

Answer:

  128

Step-by-step explanation:

You want a prediction for x=2 when the given data is modeled by an exponential model.

x = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100y = 100, 80, 52, 40, 35, 25, 17, 11, 10, 7

Model

A graphing calculator's exponential regression function models this data with the formula ...

  y = 135.7 · 0.9711^x

  y = 137.7 · 0.9711^2 ≈ 127.94 . . . . when x=2

This model gives a value for variable 2 of approximately 128 when variable 1 = 2.

<95141404393>

solve for x by using the quadratic formula 20x^2-33x+10=0

Answers

The quadratic formula is:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

In the equation 20x^2 - 33x + 10 = 0, a = 20, b = -33, and c = 10. Substituting these values into the quadratic formula, we get:

x = (-(-33) ± sqrt((-33)^2 - 4(20)(10))) / 2(20)

Simplifying the expression under the square root:

x = (33 ± sqrt(33^2 - 4(20)(10))) / 40

x = (33 ± sqrt(729)) / 40

x = (33 ± 27) / 40

So the two solutions to the equation are:

x = 3/4 or x = 1/2

Can u mark my answer as the Brainlyest if it work Ty

solvesolveslvesolbesolve

Answers

The maximum value of z = 28.  I occurs at (x, y) = 4

How to go about this  ?

To solve thhis linear programming problem, we can use the graphical method..

Graph the feasible region defined   by the constraints.....

x >= 0 and y >= 0 represent the non-negative quadrants.

x + y < = 8   represents the area below the line passing through ( 8, 0) and (0, 8).

x + y >= 2 represents the area above the line passing through (  2 , 0) and (0 , 2).

Identify the corner points of the feasible region  .....

(0,  2)

 (  2, 0)

(   4, 4)

( 8, 0 )



Calculate tthe objective function at each corner point....

z(0,   2  ) = 3(0) + 4(2) = 8

z (2, 0  ) = 3(2) + 4(0) = 6

z(4, 4  ) = 3(4) + 4(4) = 28

z (  8, 0) = 3(8) + 4(0) = 24

Determine the    maximum value of the objective function and the values of x and y that give this maximum value

The maximum value of z is 28, which occurs at the corner point (4, 4).

So we c can be stated as follows --

Maximum value of z = 28

x = 4

y = 4

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Question 1 (Multiple Choice Worth 6 points)
(02.08 MC)
The table of values forms a quadratic function f(x)
x f(x)
-5-28
-40
-3 20
-2 32
-1 36
0 32
1 20
What is the equation that represents f(x)?
Of(x)=x²-2x+8
Otx) = 4x² + 8x-32
Of(x)=x²+2x-8
Of(x)=-4x2²-8x+32

Answers

Answer:

The answer to this question is --> f(x) = -4x^2-8x+32

Hope this helps

The sum of four consecutive integers is 250. What is the greatest of these integers?

Answers

The greatest of the given integers is 64.

Given that, the sum of four consecutive integers is 250. We need to find what is the greatest of these integers.

Let the consecutive integers be = x, x+1, x+2, x+3

Therefore,

x + x+1 + x+2 + x+3 = 250

4x + 6 = 250

2x + 3 = 125

2x = 122

x = 61

Therefore, the greatest integer = 61 + 3 = 64

Hence, the greatest of the given integers is 64.

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Give me the domain and range
Tell me if the graph is a function or not

Answers

The domain and range of the graph are domain = [-2, 5] and range is [-6, 2] and the graph is not a function

Calculating the domain and range of the graph

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have the x values to be

x = -2 to 5

On the graph, we have the y values to be

y = -6 to 2

This means that domain = [-2, 5] and range is [-6, 2]

If the graph is a function or not

The graph is the graph of a circle

A circle does not represent a function

Hence, the graph is not a function

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please help for question 3​

Answers

Reflecting the triangle Q over the line y = 1 would map it onto triangle T

Reflecting the triangle P

Reflection over line x = 1

This means that we draw a vertical line that passes through x = 1

And then we create a triangle that is a mirror of the triangle P across the reflection line

The reflection of the triangle is attached

Reflection over line y = 2

This means that we draw a vertical line that passes through y = 2

As done in part (a), we then create a triangle that is a mirror of the triangle P across the reflection line

The reflection of the triangle is also attached

Description of the transformation

Using the same transformation rule above;

A reflection over the line y = 1 would map the triangle Q onto triangle T

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Solve the simultaneous equation graphically : x + y = 3 and 3x - y = 1.
( Taking the range of values of x from - 1 to +3​

Answers

Answer:

x + y = 3 and 3x - y = 1.

Step-by-step explanation:

For the equation x + y = 3, we can find the x-intercept by setting y = 0 and solving for x:

x + 0 = 3

x = 3

So the x-intercept is (3, 0). Similarly, we can find the y-intercept by setting x = 0 and solving for y:

0 + y = 3

y = 3

So the y-intercept is (0, 3). We can plot these two points and draw a straight line through them to represent the equation x + y = 3. The resulting line has a slope of -1 and a y-intercept of 3.

For the equation 3x - y = 1, we can find the x-intercept by setting y = 0 and solving for x:

3x - 0 = 1

x = 1/3

So the x-intercept is (1/3, 0). Similarly, we can find the y-intercept by setting x = 0 and solving for y:

3(0) - y = 1

y = -1

So the y-intercept is (0, -1). We can plot these two points and draw a straight line through them to represent the equation 3x - y = 1. The resulting line has a slope of 3 and a y-intercept of -1.

Now, we can visually determine the point where the two lines intersect, which represents the solution to the simultaneous equation. We can do this by looking at the graph and finding the point where the two lines intersect. Using the given range of values of x from -1 to +3, we can plot the two lines and find their intersection point:

[i dont know wheres the graph image but just show it so you can explain that]

The intersection point is approximately (1.1, 1.9), which is the solution to the simultaneous equation x + y = 3 and 3x - y = 1.

I need help! pls and thank u! ​

Answers

Evaluating the given function, we can see that the intensity at 35 cm is 0.816

How to find the intensity at 35 cm from the source?

The intensity at a distance d in centimeters is given by the function:

I = 100*d⁻²

Here we want to find the intensity at 35 centimeters from the source, then we need to evaluate the function above at d = 35, doing that we will get:

I = 100*35⁻²

I = 100/(35²)

I = 0.816

The intensity at 35 centimeters from the source is 0.816.

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Find the volume of the following Cylinders Diameter 150mm, height 100m​

Answers

To find the volume of a cylinder, we use the formula:

V = πr^2h

where V is the volume, r is the radius, h is the height, and π is pi (approximately 3.14).

First, we need to convert the diameter to radius:

radius = diameter / 2 = 150 mm / 2 = 75 mm

Next, we can plug in the values we know and solve for V:

V = πr^2h
V = π(75 mm)^2(100 mm)
V = 1,767,145 mm^3

Therefore, the volume of the cylinder is 1,767,145 cubic millimeters (or approximately 1.77 cubic meters).

Answer:

I am not sure if you wanted the answer in mm or m.  I gave the answer is m

v =  0.58875[tex]m^{3}[/tex]

Step-by-step explanation:

v = 1/3[tex]\pi r^{2} h[/tex]

v = 1/3 (3.14)([tex].075^{2}[/tex])(100)    The diameter 150mm is .0150m  Take have of that to find the radius

v =  0.58875[tex]m^{3}[/tex]

Classify the function type of f(x) = x+2−−−−−√3
x
+
2
3
A. square root
B. cube root
C. quadratic
D. exponential

Answers

The function type of f(x) = √3x + 2 is A. square root

Classifying the function type of f(x)

From the question, we have the following parameters that can be used in our computation:

f(x) = √3x + 2

In the above function, we have the notation

The notation √ is a square root notation

This means that the function type of f(x) is A. square root

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For the ordered stem-and-leaf plot given, find:
a. the minimum value
b. the maximum value
c. the number of data with values greater than 25.
d. the number of data with values of at least 40.
e. the percentage of the data with value less than 15.​

Answers

From a stem-and-leaf plot,

1. The minimum value = 13

2. The maximum value = 62

3. The number of data with values greater than 25 = 16

4. The number of data with values of at least 40 = 4

5. The percentage of the data with value less than 15 = 6.25%

We know that on a stem and leaf plot, the minimum is the first value and the maximum is the last value.

From the stem-and-leaf plot,

a) the minimum value is 13

b) the maximum value is 62

c) the number of data with values greater than 25:

26, 27, 28, 28, 31, 31, 32, 34, 34, 35, 38, 39, 42, 43, 47, 62

So, the number of data with values greater than 25 = 16

d) the number of data with values of at least 40:

42, 43, 47, 62

So, the required number = 4

e) the percentage of the data with value less than 15:

the data with values less than 15 are: 13, 14

So, the number of  the data with values less than 15 are: 2

The total number of data values = 32

So, the required percentage would be,

P = (2/32) × 100

P = 6.25%

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#3 i
Cylinder A and Cylinder B are similar. Find the surface area of Cylinder B. Give your answer in terms of pi.

Answers

The volume of the small cylinder is 36π

What are similar shapes?

Similar figures are two figures having the same shape. The two cylinders are similar but of different radius and height.

The height of the big cylinder is calculated as

V = πr²h

h = V/ πr²

h = 144π/π36

h = 144/36

h = 4 cm

Therefore the scale factor = 4/2

area factor =( 4/2)² = 16/4

therefore the volume of the cylinder is;

16/4 = 144π/ x

16x = 144π × 4

16x = 576

dividing both sides by 16

x = 576/16

x = 36π

therefore the volume of the small cylinder is 36π.

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You deposit $1200 in an account. Your account earns 2.6% simple interest rate. What is the balance of the account after an additional 3 months? Round to the nearest penny, if necessary.

Answers

Answer: $1,293.60

Step-by-step explanation:

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