Given the image below, what is the image of C after a dilation with a scale factor of 3
about a center (2,1)? Show all work and explain your reasoning.
PLEASE HELP

Answer:

58.43%

Step-by-step explanation:

The first thing we must do is calculate the probability of when both are equal, that is, take out two cookies of the same type, since we can calculate that they are not equal by means of their complement:

The probability that they are equal is:

P (plain, plain) = (12/20) (11/19)

= 132/380

P (chocolate, chocolate) = (5/20) (4/19)

 = 20/380

P (currant, currant) = (3/20) (2/19)

= 6/380

The final probability would be the sum of these:

P (equal) = 132/380 + 20/380 + 6/380

P (equal) = 158/380

P (equal) = 0.4157

The probability that they are different is the opposite of the probability that they are equal, that is, the complement. Therefore, the probability that they are different is:

P (different) = 1 - 0.4157

P (different) = 0.5843

In other words, the probability would be 58.43%

Answer:

<TQU = 72°

Step-by-step explanation:

<WQT = 60°

=> <WQT = <UYX (corresponding angles)

=> <UYX = <YUV (alternate angles)

=> <YUV = <UQR (corresponding angles)

So, <UQR = 60°

Now,

<PQT+<TQU+<UQR = 180° (angles on a straight line add up to 180°)

48° + <TQU + 60° = 180°

<TQU + 108 = 180

Subtracting 108 from both sides

<TQU = 180-108

<TQU = 72°

Answer:

5 1/4 mph

Step-by-step explanation:

21 divided by 4= 5 1/4

Answer:

Average Speed = 5.25 mph

Step-by-step explanation:

Given:

Distance = 21 miles

Time = 4 hours

Required:

Average Speed

Formula:

Average Speed = Total Distance Covered / Total Time Taken

Solution:

Average Speed = 21/4

Average Speed = 5.25 mph

Answer:

A, B and D

Step-by-step explanation:

Which equations have the same solution as [tex]\frac{3}{5} x+\frac{2}{3} +x=\frac{1}{2} -\frac{1}{5}x[/tex]

A. 8/5x + 2/3 = 1/2 – 1/5x

B. 18x + 20 + 30x = 15 – 6x

C. 18x + 20 + x = 15 – 6x

D. 24x + 30x = –5

E. 12x + 30x = –5

To find the equations with the same solution, we have to solve or x and determine if the value of x is the same for the remaining options.

[tex]\frac{3}{5} x+\frac{2}{3} +x=\frac{1}{2} -\frac{1}{5}x\\multipying \ through \ by \ 30:\\18x + 20+30x=15-6x\\collecting\ like\ terms:\\18x+30x+6x=15-20\\54x=-5\\x=\frac{-5}{54}[/tex]

A)

[tex]\frac{8}{5}x+\frac{2}{3}=\frac{1}{2}-\frac{1}{5}x\\ multipying\ through\ by \ 30\ gives:\\48x+20=15-6x\\48x+6x=15-20\\54x=-5\\x=\frac{-5}{54}[/tex]

A has the same solution

B)

[tex]18x+20+30x=15-6x\\18x+30x+6=15-20\\54x=-5\\x=\frac{-5}{54}[/tex]

B has the same solution

C)

[tex]18x+20+x=15-6x\\18x+x+6x=15-20\\25x=-5\\x=\frac{-1}{5}[/tex]

C do not have the same solution

D)

[tex]24x+30x=-5\\54x=-5\\x=\frac{-5}{54}[/tex]

D has the same solution

E)

[tex]12x+30x=-5\\42x=-5\\x=\frac{-5}{42\\}[/tex]

E do not have the same solution

Answer:

20%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The y-intercept is where the line passes through the y-axis

On this graph, we can see this is at the point (0, 2)

Answer:

(0,2)

Step-by-step explanation:

The y intercept is where the graph crosses the y axis ( where x =0)

The graph crosses at y=2

(0,2)

Answer:

B=264 b5/34 a576 5739 7985

Answer:

-5.2

Step-by-step explanation:

15.6/-3= - 15.6/3= -5.2

Answer:

D

Step-by-step explanation:

We can substitute y = 2x + 1 in the second equation

2x + 1 = -7x + 8

Add 7x to both sides

9x + 1 = 8

Subtact 1 from both sides

9x = 7

x = 7/9

Substituing x in the first equation

y = 14/9 + 1

x rounds to 0.8

y rounds to 2.5

Answer:

there is an economic principle that states that 1 dollar today is worth more than 1 dollar in the future, since an invested dollar could earn interests and gain value.

For example, we can assume a 6% interest rate (0.5% monthly interest rate), and using the present value formula we can determine the present value of $100:

In order to calculate the value of $100 given to us tomorrow, we would need to determine a daily interest rate = 6% / 360 = 0.00017

since the amount of money is not that large and the interest rate is rather low, the difference in value is not that large. But imagine if you used a 24% interest rate instead of 6% (monthly interest rate = 2%)

as the interest rate increases, the present value decreases.

Answer : The fifth term in the sequence is -2.

Step-by-step explanation :

As we are given that the expression to calculate the [tex]n^{th}[/tex] term.

The expression is as follows:

[tex]a_n=2(-1)^n[/tex]

where,

n is the number of term

Given:

n = 5

Now putting the value of n in the above expression, we get:

[tex]a_n=2(-1)^n[/tex]

[tex]a_5=2(-1)^5[/tex]

[tex]a_5=2\times (-1)[/tex]

[tex]a_5=-2[/tex]

Therefore, the fifth term in the sequence is -2.

Answer:

A

Step-by-step explanation:

Answer:

0.33 hours or 20 minutes

Step-by-step explanation:

Speed is given as distance divided by time.

That is:

s = d / t

Therefore, time will be:

t = d / s

The train traveled a distance of 40 km at 120 km/h. Therefore, the time taken will be:

t = 40/120 = 0.33 hours or 20 minutes

Answer:

[tex]\boxed{\df \ \ \ y = 2 \ \ \ }[/tex]

Step-by-step explanation:

We need to solve the following

[tex]\dfrac{7^8}{7^y}=7^6[/tex]

that we can write

[tex]\dfrac{7^8}{7^y}=7^8*7^{-y}=7^{8-y}=7^6\\<=> 8-y = 6\\<=> y=8-6=2[/tex]

so the answer is 2

Answer:

[tex]y=2[/tex]

Step-by-step explanation:

[tex]7^8 \div 7^y = 7^6[/tex]

Apply the law of exponents.

[tex]7^{8-y}= 7^6[/tex]

Cancel the same bases.

[tex]8-y=6[/tex]

Subtract 8 on both sides.

[tex]-y=6-8[/tex]

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

Cancel negative signs.

[tex]y=2[/tex]

Answer:

The pilot above at 1000m above ground and pilot below 742.23 metres above ground

Step-by-step explanation:

Imagine everything as triangles. Mark where the boy stands and the 2 jets are in the air

Answer:

The person in the at-risk population is much more likely to actually have the disease

Step-by-step explanation:

The probability of a randomly selected doctor having the disease is 1 in 1,000 (P(I)=0.0001).

The probability that a doctor is infected with SARS, given that they tested positive is:

[tex]P(I|+)=\frac{P(I)*0.99}{P(I)*0.99+(1-P(I))*0.01}\\P(I|+)=\frac{0.0001*0.99}{0.0001*0.99+(1-0.0001)*0.01}\\P(I|+)=9.9*10^{-3}[/tex]

The probability of a randomly selected person from the at-risk population having the disease is 20 in 100 (P(I)=0.20).

The probability that a person in the at-risk population is infected with SARS, given that they tested positive is:

[tex]P(I|+)=\frac{P(I)*0.99}{P(I)*0.99+(1-P(I))*0.01}\\P(I|+)=\frac{0.2*0.99}{0.2*0.99+(1-0.2)*0.01}\\P(I|+)=0.962[/tex]

Therefore, the person in the at-risk population is much more likely to actually have the disease

Answer:

3x√x²y, –12x√x²y, x√yx², 2√x²y.

Step-by-step explanation:

Data obtained from the question include:

3x√x²y, –12x√x²y, –2x√xy², x√yx²,

–x√x²y², 2√x²y

Like radical in this case talks about those havin the same entity in the square root.

With a careful consideration of the data obtained from the question, the like radicals are:

3x√x²y, –12x√x²y, x√yx², 2√x²y.

Like radicals are those whose entities in the square root are the same. So, from the given options like radicals are [tex]3x\sqrt{x^2y}[/tex], [tex]-12\sqrt{x^2y}[/tex],  [tex]-12\sqrt{x^2y}[/tex] and [tex]2\sqrt{x^2y}[/tex].

Like radicals are those whose entities in the square root are the same. So, from the given options like radicals are:

A) [tex]3x\sqrt{x^2y}[/tex]

This is like radical with the entity [tex]x^2y[/tex] inside the square root.

B) [tex]-12\sqrt{x^2y}[/tex]

This is like radical with the entity [tex]x^2y[/tex] inside the square root.

C) [tex]-2x\sqrt{xy^2}[/tex]

This is not the like radical with the entity [tex]xy^2[/tex] inside the square root.

D)  [tex]-12\sqrt{x^2y}[/tex]

This is like radical with the entity [tex]x^2y[/tex] inside the square root.

E) [tex]-x\sqrt{x^2y^2}[/tex]

This is not the like radical with the entity [tex]x^2y^2[/tex] inside the square root.

F) [tex]2\sqrt{x^2y}[/tex]

This is like radical with the entity [tex]x^2y[/tex] inside the square root.

So, the correct options are A), B), D), and F).

For more information, refer to the link given below:

https://brainly.com/question/16181471

Answer:

X=4

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

We can find the length of the hypotenuse of the 45 45 90 triangle using the other triangle (which is 30 60 90)

Since the hypotenuse is 8[tex]\sqrt{2}[/tex], the short leg (hypotenuse of other triangle) will be 4[tex]\sqrt{2}[/tex]

This means the value of x must be 4

Answer:

c

Step-by-step explanation:

19

Step-by-step explanation:

The first term of the arithmetic sequence is  4x+3.

An ordered group of numbers with a shared difference between each successive term is known as an arithmetic sequence.

The formula to find the nth term of an arithmetic sequence is,

aₙ= a+(n-1)d

Where a is the 1st term and d is the common difference.

Let the first term of sequence is a and the common difference is d.

Given that,

The 5th term of the arithmetic sequence = 16x+11,

⇒ a+4d= 16x+11      (1)

And the 9th term of the arithmetic sequence = 28x+19,

⇒ a+8d= 28x+19    (2)

To find the first term of the sequence, multiply equation (1) with 2 and subtract equation (2) from it.

(2a+8d)-(a+8d) = (32x+22) - (28x+19)

a = 4x+3

The first term of the arithmetic sequence is  4x+3.

To know more about Arithmetic sequence on :

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Answer:

At the end of ten days, the size of population B is 256 times that of population A

Step-by-step explanation:

We work under the premise that population A and B start both with the same number of individuals. Let's call such initial population [tex]N_0[/tex]

Now, we write the exponential expression that describes population A as a function of days (t) for the first 6 days:

[tex]N_A=N_0\,(2)^t[/tex]

which represents the starting point with [tex]N_0[/tex] individuals on day zero, doubling after one day (t= 1), and keeping on doubling the following days for 6 days.

So at the end of 6 days, population A would have the following number of individuals:

[tex]N_A=N_0\,(2)^6\\N_A=N_0\,(64)\\N_A=64\,N_0[/tex]

That is 64 times the starting number of individuals.

After this, the population stops growing and starts reducing to one-half each day. This behavior can be represented by:

[tex]N_A=64\,N_0\,(\frac{1}{2} )^t[/tex]

therefore after 4 days in this pattern, this culture has the following number of organisms:

[tex]N_A=64\,N_0\,(\frac{1}{2} )^4\\N_A=64\,N_0\,(\frac{1}{16} )\\N_A=4\,N_0[/tex]

which is now just four times what the culture started with.

Now, on the other hand, population B grows doubling each day without interruption, so at the end of 10 days its size is given by:

[tex]N_B=N_0\,(2)^t\\N_B=N_0\,(2)^10\\N_B=N_0\1024\\N_B=1024\,N_0[/tex]

that is it has 1024 times the initial number of organisms.

So if we compare both populations at day 10:

[tex]\frac{N_B}{N_A} =\frac{1024\/N_0}{4\,N_0} =256[/tex]

Therefore, at the end of ten days, population B is 256 times the size of population A

Answer:

After 10 days, population B has grown to be 256 times the size of population A.

Step-by-step explanation:

Answer:

4th option.

Step-by-step explanation:

You pay $9 and $__ for a total of $16.

$9 + $__ = $16.

9+__=16

Answer:

nope!

Step-by-step explanation:

mean= average, total of numbers/ amount of numbers

median- if all the numbers were in a line what would be in the middle

mode-most reoccuring number- remember it cos it rhymes with most :)

hope this helps :)

can u pls give brainliest? :)

Answer:

No

Step-by-step explanation:

when you have a list of numbers:

The mean is all of the numbers added up and then divided by the number of numbers.

The median is "the middle number" So line them up in numerical order and find the middle number.

The Mode is the biggest number subtracted from the smallest number.

Answer:

A =153.86 cm^2

Step-by-step explanation:

The diameter is 14 so the radius is d/2 = 14/2 = 7

A = pi r^2

A = (3.14) (7)^2

A =153.86 cm^2

Answer:

Step-by-step explanation:

First you take the diameter and cut it in half to find the radius. 14/2 = 7

Next you times the radius to the power of 2. 7^2= 49

Then you times your answer by 3.14. 49*3.14 = 153.86

153.86cm² is your answer

Answer:

6p - 2

Step-by-step explanation:

9p - (3p + 2) = 9p - 3p - 2 = 6p - 2

The expression that  is equivalent to 9 p minus 3 p + 2 is 6p - 2

From the question, one have 9p - 3p + 2.

So, one has to combine the like terms, which means adding or subtracting the coefficients of the same variable. For the terms with 'p', one  have 9p - 3p.

Combining the coefficients, one get 9 - 3 = 6.

So, 9p - 3p is simplifies to 6p.

So, one have 6p + 2.

The expression is said to be now simplified to 6p + 2.

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Answer:

- The actual product is less than the estimate

- The numbers differ by less than one

Step-by-step explanation:

Given

Product of 3 and two-fifths & [tex]-3\frac{7}{8}[/tex]

Required

Compare actual result with approximated result

Calculating the actual result;

3 and two-fifths means [tex]3\frac{2}{5}[/tex]

So, the Product of 3 and two-fifths & [tex]-3\frac{7}{8}[/tex] becomes

[tex]Product = 3\frac{2}{5} * -3\frac{7}{8}[/tex]

Convert fractions to improper

[tex]Product = \frac{17}{5} * -\frac{31}{8}[/tex]

Combine fractions to form one

[tex]Product = \frac{-17 * 31}{5 * 8}[/tex]

Multiply numerators and denominator

[tex]Product = \frac{-527}{40}[/tex]

Convert fraction to decimal

[tex]Product = -13.175[/tex]

The nearest half of -13.175 is -13

Hence;

[tex]Estimate = -13[/tex]

By comparison:-

- The actual product (-13.175) is less than the estimate (-13)

- The difference between both results is less than 1;

The difference is calculated as follows

Difference = |Actual Product - Estimate|

Difference = |-13.175 - (-13)|

Difference = |-13.175 +13|

Difference = |-0.175|

Difference = 0.175

Answer:

B

Step-by-step explanation:

The actual product is greater than the estimate. The numbers differ by less than one. took the test 2021

Answer:

Step-by-step explanation:

Assume that the two prisms have bases of equal area.

Then the volume of the rectangular prism is V = (base area)(height).

The volume of the triangular prism is V = (1/3)(base area)(height)

We could compare the two volumes by creating the ratio inequality

  (1/3) (base area)(t-height)

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

      (base area)(r-height)

The triangular prism will have the greater volume for (1/3)((t-height) > r-height.