What is the image of (3, -12) after a dilation by a scale factor of į centered
at the origin?

Answer:

72°

Step-by-step explanation:

Para el pentagono ABCDE,

m<C = (n - 2)(180)/n = (3)(180)/5 = 108

m<D = m<C = 108

Para el quadrilatero BCDE,

m<CBE + m<C + m<D + m<DEB = (n - 2)180 = 2(180) = 360

m<C = m<D = 108

m<CBE = m<DEB = x

m<CBE + m<C + m<D + m<DEB = 360

x + 108 + 108 + x = 360

2x + 216 = 360

x + 108 = 180

x = 72

Answer:

Step-by-step explanation:

2%

Answer:

11, 18, 25, 32, .....

Option D

Step-by-step explanation:

The formula for the nth term of an AP is a+(n-1)d

a+(n-1)d=a+(n-1-1)d+7

a+nd-d=a+nd-2d+7

d=7

As the common difference is 7.

The only option given which is in an AP is the 4th option

Answer:

All values that satisfy y ≤ 1x/3 - 3 are solutions  (option 2)

Step-by-step explanation:

the values satisfying y ≤ x/3 - 3 (red area) are a subset of those satisfying

y ≤ x/3 - 1 (blue plus red area) and therefore satisfy both inequalities.

Answer:

the last one

Step-by-step explanation:

this is because it is an equalactral triangle meaning that the line at the side is the only one which its degrees is 90 so if u add 45 and 45 its 90(hope this helps)

Answer:

Two sides have the same length, which iS less than

the length of the third side.

Step-by-step explanation:

Hypotenuce is a sode opposite to right angle, which is always bigger then any side of right triangle. since both angles are the same, Adjacent and Opposite are similar size as well.

Answer:

2 sqrt(2) = x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 45 = x/4

4 sin 45 = x

4 ( sqrt(2)/2) =x

2 sqrt(2) = x

Answer: D

Use sine to find the x-value:

[tex]sin(45)=\frac{x}{4} \\\\4*sin(45)=x\\\\x=\frac{\sqrt{2} }{2} *4=2\sqrt{2}[/tex]  

9514 1404 393

Answer:

  3.6 m/s

Step-by-step explanation:

To find Inge's average speed for the race, we need to know her total distance (400 m) and her total time. The times for the 2nd and 3rd portions of the race are given, but we need to figure the time for the first portion. That will be ...

  time = distance/speed

  time = (150 m)/(4.6 m/s) = 32.609 s . . . . time for first 150 m

Then Inge's average speed is ...

  (400 m)/(32.609 s + 40 s + 38 s) = (400 m)/(110.609 s) ≈ 3.6 m/s

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

Explanation:

I'm assuming you meant to say

y = (3/2)*tan( (1/3)x )

If so, then that equation is in the form

y = A*tan(Bx)

The B coefficient is B = 1/3 and it directly ties together to the period T.

T = pi/B

T = pi/(1/3)

T = pi*(3/1)

T = 3pi .... answer is choice C

Side note: This formula only works for tangent and cotangent functions.

it isn't possible to just give extra points in a simple and reliableway. anyways, let's starts.

a. is simple, just put the terms in order

r² +6r -5

because:

[tex] {r}^{2} + {6r}^{1} + {5r}^{0} [/tex]

anything to the power of 0 equals 1,

because it's the same as r/r, and 5 * r/r = 5*1

b. same logic as above

a²b² -5ab +33

c.

-c³ +ab +d +9

d.

-9y^5 - 2x³y²z +4x² +10x +1

^5 = to the power of five, it's the fastest way to type it without the special math input tool.

hope it helps you

Answer:

I agree with the above one.

Answer:

4 + 42s

Step-by-step explanation:

When y = 6 and x = 4,

Answer:

B

Step-by-step explanation:

The translation for the discrete statements are:

If S, then (Q and P); S → (Q ∧ P)

If P, then (not C and not E). P → (¬C ∧ ¬E)

Given data:

The given statement can be translated into symbolic logic as follows:

C: Parents send children to school.

E: Employees go to work.

P: The public will panic.

Q: Infected people are quarantined.

S: There is a swine flu epidemic.

The translation of the statement is as follows:

If S, then (Q and P);

If P, then (not C and not E).

Symbolically, the statement can be written as:

S → (Q ∧ P)

P → (¬C ∧ ¬E)

Here, the arrow (→) represents "if...then," ∧ represents "and," and ¬ represents "not."

This translation represents the logical relationships between the events described in the statement.

To learn more about discrete mathematics, refer:

https://brainly.com/question/30565766

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The complete question is attached below:

Use the symbolic logic to transform the given statements.

Statement: If there is a swine flu epidemic, then infected people are quarantined and the public will panic; and if the latter occurs, then parents do not send children to school and employees do not go to work.

Key:

C = Parents send children to school.

E = Employees go to work.

P = The public will panic.

Q = Infected people are quarantined.

S = There is a swine flu epidemic.

The statement when translated into symbolic logic would be (S -> (Q & P)) & (P -> (~C & ~E)).

The given statement can be translated into symbolic logic as follows:

"If there is a swine flu epidemic, then infected people are quarantined and the public will panic" can be translated to:

S -> (Q & P)

"and if the latter occurs" refers to "the public will panic". Thus, "then parents do not send children to school and employees do not go to work" can be translated to:

P -> (~C & ~E)

Now, combining both parts of the statement using the "and" operator:

(S -> (Q & P)) & (P -> (~C & ~E))

Find out more on symbolic logic at https://brainly.com/question/917076

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The full question is:

Statement: If there is a swine flu epidemic, then infected people are quarantined and the public will panic; and if the latter occurs, then parents do not send children to school and employees do not go to work.

Key:

C = Parents send children to school.

E = Employees go to work.

P = The public will panic.

Q = Infected people are quarantined.

S = There is a swine flu epidemic.

Answer:

17d/20

Step-by-step explanation:

100-25=85

85/100×d

=17/20×d

=17d/20

Answer:

3 * 5

4    2

Step-by-step explanation:

To convert division problems with fraction into multiplication problems use the KCF rule

Keep the 1st Fraction the same

Change the division sign to a multiplication sign

Flip the fraction (reciprocal)

Answer:

A. It was decreasing by -138,629.44 barrels

B. 26 years of time

Step-by-step explanation:

Due to the length of this question solution, I was unable to type it. The answer is contained in the attachment.

A. At 1200000

Bt = 1200000

-1/6ln2 x 1200000

Solve this using a calculator

= -138,629.4361

So the amount of oil is decreasing by -138,629.44 barrels

9514 1404 393

Answer:

  D

Step-by-step explanation:

For the inverse function, swap the words "domain" and "range" in the description of the function. The domain of a function is the range of its inverse, and vice versa.

Inverse function domain: x > 0; range: y < 2.

Answer:

440dollars............

In this question, the relations between velocity, distance and time are explored to first express the dependence of s on v, given the data in the exercise, and then to find the value of v for which s = 363.

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

Relation between velocity, distance, and time:

We have that velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

In which v is the velocity, d is the distance, and t is the time.

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

A car traveled s kilometers in 6 hours with a speed of v kilometers per hour.

This means that [tex]d = s, t = 6[/tex]

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

Express the dependence of s on v.

Taking the above values of d and t, and the formula, we have that:

[tex]v = \frac{d}{t}[/tex]

[tex]v = \frac{s}{6}[/tex]

[tex]s = 6v[/tex]

Thus, the dependence of s on v can be expressed as: [tex]s = 6v[/tex]

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

Using the formula, find: v for s=363

We have that:

[tex]s = 6v[/tex]

And thus

[tex]v = \frac{s}{6}[/tex]

Considering [tex]s = 363[/tex]:

[tex]v = \frac{363}{6} = 60.5[/tex]

Thus, for s = 363, v = 60.5.

For an example of a problem using this formula, you can check here: https://brainly.com/question/14307500

Answer:

v=s/6 is the formula

and if s=363, v=60.5

hope this helped!

Answer: B. f(x - 3) = 6x - 16

Concept:

When encountering a question that gives you a function and the evaluation value, then basically plug the given value into the function.

Solve:

Given function and value

f(x) = 6x + 2

f(x - 3)

Substitute the value into the given expression

f(x - 3) = 6 (x - 3) + 2

f(x - 3) = 6x - 18 + 2

f(x - 3) = 6x - 16

Hope this helps!! :)

Please let me know if you have any questions

measure horizontally

measure vertically

measure depth..

First, we find the point estimate, given by the sample mean. Then, with this, and the standard deviation of the population given, we can find the margin of error, and then, we can find the confidence interval and the minimum sample size necessary.

Doing this, we get that:

a) The point estimate for the population mean cost of fast food bills at this restaurant is $18.21.

b) The 95% margin of error is $1.64.

c) The 95% confidence interval for the population mean cost of fast food bills at this restaurant is: $16.57 ≤ µ ≤ $19.85.

d) The sample size needed is 135.

Question a:

The point estimate for the population mean is the sample mean, which is of $18.21.

The point estimate for the population mean cost of fast food bills at this restaurant is $18.21.

Question b:

We have to find our  level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of .

That is z with a p-value of , so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which  is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{5.92}{\sqrt{50}} = 1.64[/tex]

The 95% margin of error is $1.64.

(c) State the 95% confidence interval for the population mean cost of fast food bills at this restaurant.

The lower end of the interval is the sample mean subtracted by M. So it is 18.21 - 1.64 = 16.57

The upper end of the interval is the sample mean added to M. So it is 18.21 + 1.64 = 19.85

The 95% confidence interval for the population mean cost of fast food bills at this restaurant is: $16.57 ≤ µ ≤ $19.85.

(d) What sample size is needed if the error must not exceed $1.00?

This is n for which M = 1. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]1 = 1.96\frac{5.92}{\sqrt{n}}[/tex]

[tex]\sqrt{n} = 1.96*5.92[/tex]

[tex](\sqrt{n})^2 = (1.96*5.92)^2[/tex]

[tex]n = 134.6[/tex]

Rounding up:

The sample size needed is 135.

For a question in which you find a confidence interval using the z-distribution, you can check https://brainly.com/question/24175328

To find the minimum sample size for a confidence interval, you can check https://brainly.com/question/22667000

Step-by-step explanation:

One easy way to find a number that has all of these numbers as factors is to multiply them all together, so 2 * 5 * 7 = 10 * 7 = 70, which is one number.

To find the other number, we can multiply the number we already have by any integer greater than 1, e.g. 2, to get 70* 2= 140 as our other number, making our numbers 70 and 140

Answer:

Option (C)

Step-by-step explanation:

Surface area of a right prism = 2(Area of the triangular base) + Ph

Here, P = Perimeter of the base

h = Height of the prism

Area of the triangular base = [tex]\frac{1}{2}(\text{Height})(\text{Base})[/tex]

                                             = [tex]\frac{1}{2}(5)(12)[/tex]

                                             = 30 cm²

Height of the prism = 15 cm

Perimeter of the base = (5 + 12 + 13)

                                     = 30 cm

Surface area of the right prism = 2(30) + 30(15)

                                                   = 60 + 450

                                                   = 510 cm²

Therefore, Option (C) will be the correct option.

9514 1404 393

Answer:

Step-by-step explanation:

The equation of the given line can be written as ...

  Δy·x -Δx·y = Δy·x1 -Δx·y1

where Δy and Δx are the differences in y and x coordinates of two points on the line, respectively. Here, we can find them to be ...

  Δy = 5-(-5) = 10

  Δx = -5 -1 = -6

Then the equation of the given line can be written as ...

  10x +6y = 10(-5) +6(5) = -20

Dividing by 2 puts this in standard form:

  5x +3y = -10 . . . . . . equation of the graphed line

__

A parallel line will have the same x- and y-coefficients with a different constant. The equation of the parallel line is 5x +3y = 13.

A perpendicular line will have the x- and y-coefficients swapped, with one of them negated. The equation constant will likely be different. The coefficients may be multiplied by some factor so all the numbers are integers.

The equation of a perpendicular line is 6x -10y = 7.

Answer:

1/2

Step-by-step explanation:

I am not sure if it's correct

The probability that the farmer planted corn OR lettuce is 1/2.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

The Venn diagram below shows the type of crops planted by 50 farmers in a particular area.

The number of farmers plant only corn = 5

The number of farmers plant only lettuce = 10

The number of farmers plant corn and lettuce = 10

Total number of farmers = 50

If a farmer is chosen at random, then the probability that the farmer planted corn OR lettuce is;

[tex]\rm Probability =\dfrac{Corn + Lettuce+ Corn and Lettuce}{Total \ number \ of \ farmers}\\\\ Probability =\dfrac{5+10+10}{50}\\\\\rm Probability =\dfrac{25}{50}\\\\\rm Probability =\dfrac{1}{2}[/tex]

Hence, the probability that the farmer planted corn OR lettuce is 1/2.

Learn more about probability here;

https://brainly.com/question/12705626

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Answer: B. X It passes the vertical line test :)

Step-by-step explanation:

Answer:

375681

Step-by-step explanation:

this number consists of 6 digits, which are divided by 3 in total. for example, 372-3+7+2=12..12:3=4 so 372 is divisible by 3

next, it's odd number

it doesn't end with 5 and it doesn't end with 0

and the last thing, it doesn't end with 2 numbers, which is divided by 4. for example, 524...24 is divided by 4, so 524 is divided too

so it may be number like

375681...3+7+5+6+8+1=30 so it's divided by 3

it isn't divided by 2 because it's odd number

isn't divided by 5, because it doesn't end with 5 or 0

and isn't divided by 4, because we can't divide 81 by 4

it can be another number, as you wish. you can create it by yourself

Answer:

47.1

Step-by-step explanation:

We know side LM corresponds with side OP with a factor of some number. The value of side LM is 8, and the value of side OP is 29. If we divide the two numbers, we will find the scale factor of which triangle NOP is larger than KLM. 29/8 simplifies to 3.625. Now, to find the value of side PN, we must find the side it corresponds to on triangle KLM. Because K corresponds with N, and M corresponds with P, we know the side that PN corresponds with on triangle KLM is side KM. Side KM has a value of 13, so side PN must be 3.625 times larger than 13.

13 times 3.625 = 47.125. The question says to round to the nearest tenth, so the answer would be 47.1

Answer:

16

Step-by-step explanation: