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Write the following equations in slope-intercept form. Remember to show all the work!!
x − 3y = 6


Write the following equations in Standard form. Remember to show all work!
y = −x − 3
Y = 1/2x - 5

Answer:

Inverse = (arcos x) / 2.

Step-by-step explanation:

y = cos 2x

2x= arcos y

x = (arcos y) / 2.

Inverse = (arcos x) / 2.

The equation for the inverse of y = cos 2x is obtained by switching the x and y variables and solving for y, resulting in y = arccos (x) / 2.

The inverse of a function switches the roles of the x and y variables, so the first step to finding the inverse of y = cos 2x is to switch the x and y in the equation, giving us x = cos 2y. Now, we simply solve for y. The equation x = cos 2y is equivalent to 2y = arccos (x) where arccos is the inverse cosine function.  Therefore, the final answer is y = arccos (x) / 2. This is the equation for the inverse of y = cos 2x.

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x= twin 1 and 2

x=5x-60

x-5x=-60

-4x=-60

x=15

check 15=5(15)-60

15=75-60

15=15

Answer:

d. can be smaller, larger, or equal to the population mean

Step-by-step explanation:

The mean of the sample will depend upon which values are selected from the population to form the sample.

The sample mean can be any value below, above or equal to the population mean.

However, as more and more samples are taken and their means found, the mean of the sample means will approach the population mean.

Answer:

Step-by-step explanation:

We know that the sample size is smaller than the size of the population, because it's a subset that must represent the population.

However, that doesn't mean the sample mean has to be smaller than the population mean, actually this stats can be smaller, equal or larger, it depends on another factors.

Therefore, the right answer is the last choice

Answer:

-5

Step-by-step explanation:

Point P represents -5. You can see that the line counts up in increments of 2. P is in between -6 and -4. It must be -5.

The correct answer is -5

As we can see from the picture, we have the number -4 before P and -6 after P. Which would mean -5 is the correct answer.

I hope this helps! :)

Have a wonderful day!

-LizzyIsTheQueen

Answer:

  d.  90°, 90°

Step-by-step explanation:

Both angles intercept 180° arc WZ. They are half the measure of the intercepted arc, hence both are 90°.

Answer:

$24.15

Step-by-step explanation:

What you do is you take 15% and make it into a decimal which is .15.

Then you times it by $21. 21*.15=3.15.

You then take the $3.15 and add it to $21 to get

$24.15 as your answer.

Winona left a 15% tip for her $21 haircut, resulting in a tip of $3.15. When added to the cost of the haircut, it means she paid a total of $24.15.

The question is asking us to find out how much Winona paid in total for her haircut, including a 15% tip. To find the amount of the tip, we can multiply the cost of the haircut (which is $21) by 15% (or 0.15 in decimal form): $21 * 0.15 = $3.15. To find the total amount Winona paid, we simply add the cost of the haircut to the tip: $21 + $3.15 = $24.15. So, Winona paid a total of $24.15 for her haircut.

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➷ The period is the distance from one part of the function to the same part of it.

In this case, the period is 5

The amplitude is the half the distance from the largest and smallest value

3 + 6 = 9

9/2 = 4.5

In this case, the amplitude is 4.5

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Answer:

it's A

Step-by-step explanation:

you toke the price and times it by the decimal of the discount

Answer:

0.150 x $20 = $ 3.00.

Step-by-step explanation:

You want to buy something that costs $20, and it's on sale for 15% off. What is the item's sale price?

First, convert the 15% to a real mathematical number. For percents, this is always done by dividing the 15% by 100%, or 15% / 100% = 0.150.

Second, find out what 15% of $20 is. This is the amount of the sale discount. This is always found by mulitplying 0.150 by the item's cost $20. So for this sale, you'll save $ 3.00 on this item.

This means, the cost of the item to you is $17.00$

Answer:

Step-by-step explanation:

Just substitute in 7 for the n.

30-4(7)

30-28

2

The 7th term in the sequence is 2.

(please give brainliest?)

The 7th term in the sequence defined by aₙ = 30 - 4n, substitute n with 7 and solve to get a₇ = 2. Thus, the 7th term is 2.

To find the 7th term in the sequence defined by the iterative rule aₙ = 30 - 4n, we need to substitute n with 7.

⇒ aₙ = 30 - 4n

⇒ a₇ = 30 - 4(7)

⇒ a₇ = 30 - 28

⇒ a₇ = 2

So, the 7th term in the sequence is 2.

Complete question:

Find the 7th term in the sequence

aₙ = 30 - 4n

Answer:

[tex]f(-4)=1.3[/tex]

Step-by-step explanation:

we have

[tex]f(x)=\frac{6}{-2+2e^{-0.3x}}[/tex]

we know that

f(-4)  is the value of the function for x=-4

substitute x=-4 in the function

[tex]f(-4)=\frac{6}{-2+2e^{-0.3(-4)}}[/tex]

[tex]f(-4)=\frac{6}{-2+2e^{1.2}}[/tex]

[tex]f(-4)=1.3[/tex]

Answer:

1.94

Step-by-step explanation:

We substitute -4 into as x in the equation, but first what is e?

e is a term that represents the base of a natural logarithm and is a irrational number, its called Euler's number. e is equivalent to:

[tex]e=2.718[/tex]

We can substitute -4 into the equation

[tex]=6/(-2+2*(2.718^(-0.3*-4)))[/tex]

[tex]=6/(-2+2*(2.718^(1.2)))[/tex]

[tex]=6/(-2+2*2.54)[/tex]

[tex]=6/(3.09)[/tex]

[tex]=1.94

Therefore f(-4)=1.94

8.6 meters per second

the falcon flew 56 miles more than the eagle

Answer:

the eagle flew 56 miles less than the falcon

Step-by-step explanation:

112-56=56

the y intercept is -3 because its touching (0,-3).

The graph goes right one and down five so the slope is -5

y=mx + b

y= -5x -3

Answer:

156.7 miles.

Step-by-step explanation:

The radius and the tangent at the point of contact form a right angle so we can apply the Pythagoras theorem:

( 3959 + 3.1)^2 = x^2 + 3959^2

x^2 =  3962.1^2 - 3959^2

x^2 =  24555.41

x =  156.7 miles.

The solution is : 156.7 miles is the distance to the earth’s horizon from point P.

The distance between two points is the length of the line joining the two points. Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.

here, we have,

from the given diagram, we get,

The radius and the tangent at the point of contact form a right angle so we can apply the Pythagoras theorem:

( 3959 + 3.1)^2 = x^2 + 3959^2

x^2 =  3962.1^2 - 3959^2

x^2 =  24555.41

x =  156.7 miles.

Hence, The solution is : 156.7 miles is the distance to the earth’s horizon from point P.

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Answer:

c. 1

Step-by-step explanation:

The given expression is

[tex]\cos(x) \csc(x) \tan(x)[/tex]

We express everything in terms of sine and cosine to obtain;

[tex]\cos(x) \times \frac{1}{\sin(x)} \times \frac{\sin(x)}{\cos(x)}[/tex]

We cancel out the common factors to obtain;

[tex]\frac{1}{1} =1[/tex]

Answer:

cos(x)csc(x)tan(x)  =  1

Step-by-step explanation:

We have given a trigonometric expression.

cos(x)csc(x)tan(x)

We have to simplify the above expression.

Since, we know that

Tan(x) is ratio of sin(x) and cos(x).

Tan(x)   =  sin(x)/cos(x)

csc(x) is reciprocal of sin(x).

csc(x)   =   1/sin(x)

Putting above values in given expression,we have

cos(x)csc(x)tan(x)  =  cos(x) × 1/sin(x) × sin(x)/cos(x)

cos(x)csc(x)tan(x)  =  1 which is the answer.

Answer:

see explanation

Step-by-step explanation:

[tex]\frac{a(x)}{b(x)}[/tex]

= [tex]\frac{2x^2-5x+6}{x-3}[/tex]

= 2x + 1 + [tex]\frac{9}{x-3}[/tex]

quotient q(x) = 2x + 1 and remainder r(x) = 9

Answer:

$89340

Step-by-step explanation:

Answer:

$386794

Step-by-step explanation:

To find how much we're going to make in total after working for 5 years in the company, we can solve it by calculating for the total amount after each year.

So in the first year we get.

$70,000

To get how much we get in the 2nd year we add the extra 5%.

2nd year salary = (70000 x 0.05) + 70000

2nd year salary = 73500

Now we continue to do that until the 5th year

3rd = (73500 x 0.05) + 73500

3rd = 77175

4th = (77175 x 0.05) + 77175

4th = 81033.75

5th = (81033.75 x 0.05) + 81033.75

5th = 85085.44

Now we add them all up to get the total.

70000 + 73500 + 77175 + 81033.75 + 85085.44

We get:

$386794.19 or $386794

To mark the points on a number line that are both larger than -2 and smaller than 3, you would mark off the points at -1, 0, 1, and 2 on this line.

To draw a number line and mark all points that are both larger than -2 and smaller than 3, follow these steps:

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To mark all points larger than -2 and smaller than 3 on a number line, draw a straight line with equal intervals, labeling -2 and 3, and shade in the area between them. For constructing a histogram, divide the data range into intervals, then draw and label bars on the y-axis to reflect the count of data points within each interval.

Explanation:

To draw a number line and mark all points that are both larger than –2 and smaller than 3, begin by drawing a horizontal line. Use a ruler to keep the line straight. Place tick marks at regular intervals, and label them with numbers from less than -2 to greater than 3, ensuring that -2 and 3 are clearly marked on the line. The numbers larger than -2 but smaller than 3 will be between these two points. Shade this region to indicate all the numbers that meet the condition.

Next, if you need to construct a histogram, you first need a set of data to work with. Once you have your data, determine the range of data and divide this range into five to six intervals. On the horizontal axis, or the x-axis, represent these intervals. Then, count how many data points fall within each interval. On the vertical axis, or the y-axis, draw bars for each interval with heights corresponding to the number of data points in each interval. Use your ruler for precision and label the axes to show the scale.

Answer:

Step-by-step explanation:

(4x + 3) + (-2x + 4)

= 4x + 3 - 2x + 4         combine like terms

= (4x - 2x) + (3 + 4)

= 2x + 7

Answer:

$42.09

Step-by-step explanation:

1. multiply the cost per gallon (3.45) by the gallons purchased (12.2)

    3.45*12.2 = 42.09

Answer:

42.09

Step-by-step explanation:

12.2×3.45

The sum of this finite arithmetic series is -1122.

The sum of the arithmetic series 14+11+8+5...-82 is -1122. This is obtained by identifying the number of terms in the series, the first term, the last term and the common difference, then substitifying these values into the sum formula for an arithmetic series.

The series provided is an arithmetic series, where each term decreases by 3 from the previous one. The formula to find the sum of an arithmetic series is S = n/2 * (a + l) where S is the sum of the series, n is the number of terms, a is the first term, and l is the last term.

In this case, the difference between consecutive terms is -3, the first term a = 14, and the last term l = -82. We find the number of terms by using the relation, l = a + (n-1)*d where d is the common difference. By substituting the given values, we can find that n = 33 terms. Substituting these values into the sum formula gives: S = 33/2 * (14 - 82) = -1122.

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I am considering the point you have given is point on a circumference of a circle and center of circle is (0,0) and we have to calculate radius

so radius = root((x-h)^2 + (y-k)^2)

where (h,k) is center of circle

so r = root((5-0)^2+(10-0)^2)

= √(100+25) = √125 = 5√5

so answer is option c

The distance r from the point (5, 10) to the origin is calculated using the distance formula, resulting in r = 5√5. So, the correct answer is option (c) 5√5.

The student's question involves finding the distance r from a point to the origin in a coordinate system, given a point (x, y). Given the point (5, 10), we can calculate r using the distance formula [tex]r = \( \sqrt{(x - x_1)^2 + (y - y_1)^2} \).[/tex]

We want to find the distance r from the origin [tex](x_1,y_1)[/tex] = (0, 0) to this point (x, y) = (5, 10).

Substituting x = 5 and y = 10 into the equation, we get:

[tex]r = \( \sqrt{(5 - 0)^2 + (10 - 0)^2} \)\\ = \( \sqrt{5^2 + 10^2} \)\\ = \( \sqrt{25 + 100} \)\\ = \( \sqrt{125} \)\\ r = 5\sqrt{5}.[/tex]

Therefore, the correct answer is option (c) [tex]5\sqrt{5}[/tex].

This is the answer to your mathematical question !!

The other angel is also equal to x and the sum of all angels need to be 360:

2x+90+26=360

2x=244

X=122

Answer:

The answer is 112

Step-by-step explanation:

Because seven ate nine :D but seriously 90+26+2x=360 so thats

116+2x=360 and 360-116 is 244 and you divide that by the remaining 2

and that gives you your answer of 112

Answer:

Step-by-step explanation:

2

Answer:

The answer is 23/93

Step-by-step explanation:

In order to divide two fractions, we can flip the second one and multiply.

5/31 ÷ 15/23

5/31 × 23/15 = 23/93

3(2x+4)=-6 6x+12=-6

- 12. -12

6x = -18

÷6. ÷6

x= -3

Answer:

-3

Step-by-step explanation:

3(2x+4)= -6

6x+12= -6

6x= -18

x= -3

Answer:

The increase as a percentage is (2.60)(100%) = 260%

Step-by-step explanation:

The premium increase from last year is ($883 - $245), or $638.

The increase as a ratio is then $638/$245, or 2.60.

The increase as a percentage is (2.60)(100%) = 260%

Hope this HELP:)))

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