Find the area of the circle.
Use 3.14 for pi

A dilation transformation is a type of transformation that shrinks or stretches the size of an object. This kind of transformation is performed by multiplying the coordinates of each point in the object by a scale factor. the scale factor used in this dilation transformation is 1/5.

The point Y (-1,12) is dilated about the origin, resulting in Y' (-1/5, 2 2/5).The scale factor used is the ratio of the corresponding lengths of the image and preimage of a point. As a result, we can write the following formula: Scale factor = Length of the image / Length of the preimage.

Let's first calculate the distance between Y and the origin:Length of the preimage = sqrt((-1)^2 + (12)^2) = sqrt(145)Then, let's calculate the distance between Y' and the origin:Length of the image = sqrt((-1/5)^2 + (12/5)^2) = sqrt(145)/5Finally, we can determine the scale factor:Scale factor = Length of the image / Length of the preimage= (sqrt(145)/5) / sqrt(145) = 1/5.

To know more about origin visit:

https://brainly.com/question/4675656

#SPJ11

Patrick received a total of approximately $6,785.97 over the course of 52 weeks.

To calculate the total amount of money Patrick received over the 52 weeks, we can use the concept of a geometric sequence. The first term of the sequence is $10, and each subsequent term is 10% more than the previous term.

To find the sum of a geometric sequence, we can use the formula:

Sn = a * (r^n - 1) / (r - 1),

where Sn is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.

In this case, a = $10, r = 1 + 10% = 1.1 (common ratio), and n = 52 (number of weeks).

Plugging these values into the formula, we can calculate the sum of the sequence:

S52 = 10 * (1.1^52 - 1) / (1.1 - 1)

After evaluating this expression, we find that Patrick received approximately $6,785.97 over the 52 weeks.

As a result, Patrick collected about $6,785.97 in total over the course of 52 weeks.

for such more question on total amount

https://brainly.com/question/19079438

#SPJ8

Using the binomial distribution, it is found that:

The probability of no correct answers is 0.1678 = 16.78%.

For each question, there are only two possible outcomes, either it is answered correctly, or it is not. The answer of a question is independent of any other question, thus the binomial distribution is used to solve this question.

The formula for the probability of x successes is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

In the context of this problem, considering the number of questions and the probability of each being answered correctly, the parameters are given as follows:

n = 8, p = 0.2.

The probability of no correct answers is P(X = 0), hence:

P(X = 0) = (0.8)^8 = 0.1678.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1

Step-by-step explanation:

a) f(3)=3^2 - 3/2

=9-3/2

=15/2

(a)The value of given function at x=3, f(3)=7.5,

(b)The first derivative f'(x)=2x and (c) f'(11)=22.

Given that the function

\(f(x) = x^2-\frac{3}{2}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (1)\)

(a) To find f(3), put x=3 in equation (1).

Take x=3, then from equation (1),

\(f(x) = x^2-\dfrac{3}{2}\\f(3) = (3)^2-\dfrac{3}{2}\\f(3) = 9-\dfrac{3}{2}\\f(3)=\dfrac{18-3}{2} \\f(3)=\dfrac{15}{2}\)

Thus, f(3)=7.5

(b) To find first derivative, that is, f'(x), differentiate equation (1) with respect to x.

\(f'(x)=\dfrac{d}{dx} (x^2-\dfrac{3}{2}) \\f'(x)=2x-0\\f'(x)=2x\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ (2)\)

Thus, f'(x)=2x

(c) To find f'(11), put x=11 in equation (2).

take x=11, then from equation (2),

f'(x)=2x

f'(11)=2×11

f'(11)=22

Thus, f'(11)=22.

Hence,  f(3)=7.5, f'(x)=2x and  f'(11)=22.

Learn more about Derivatives here:

https://brainly.com/question/25324584

#SPJ2

1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

Read more about fraction

brainly.com/question/17220365

#SPJ1

Respuesta:

x = 5.656854249

Explicación paso a paso:

[NOTA: Solo quería disculparme de antemano por cualquier mala gramática, ya que estoy usando un traductor para esto.]

x/Sen30°= 8/Sen45° [Multiplica ambos lados por Sen30°]

x = (8/Sen45°) * Sen30° [Resuelve usando una calculadora]

x = 5.656854249

9514 1404 393

Answer:

  (5, 1)

Step-by-step explanation:

Reflection across the x-axis negates the y-coordinate:

  (x, y) ⇒ (x, -y) . . . . reflection across the x-axis

Rotation 90° CCW is the transformation ...

  (x, y) ⇒ (-y, x) . . . . rotation 90° CCW

The two transformations together give ...

  (x, y) ⇒ (y, x) . . . . reflection across the x-axis, then rotation 90° CCW

For point B, this gives ...

  B(1, 5) ⇒ B'(5, 1)

The quadratic function is x² - 13x + 30.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function.

A quadratic function is one of the form:

f(x) = ax²+ bx + c,

where a, b, and c are numbers with a not equal to zero.

Let m and n be the zeros of the quadratic function.

So, the quadratic function is

f(x) = c(x-m)(x-n),

where c is the constant common term and m, n are zeros.

Simplifying,

f(x) = x² -mx - nx + mn.

Here, given zeros of the quadratic equation are 10 and 3.

That means,

if function is subjected to x.

Then (x-10) and (x-3) are factors of the quadratic function.

To write a quadratic function:

we multiply the factors,

(x-10)(x-3)

= x² -10x - 3x + 30

= x² - 13x + 30

Therefore, the quadratic function is x² - 13x + 30.

To learn more about the quadratic function;

https://brainly.com/question/29775037

#SPJ1

The Selling Price of the Stereo will be $75

Cost Price is defined as the amount that is paid to purchase an article or the price at which an article is made is known as its cost price. The cost price can be abbreviated as C.P.

Selling Price is defined as the price at which an article is sold to the customer. The selling price is abbreviated as S.P.

Profit and Loss can be estimated through Selling Price and Cost Price.

Profit =Selling Price-Cost Price ,only when the selling price is greater than the Cost price.

Loss= Cost Price- Selling price , only when the cost price is greater than the Selling price.

Step by step explanation

As we know that the Cost Price=$150

and Selling Price is 50% of Cost Price

∴Sale Price will be $75

To know more about Selling Price, Visit:

https://brainly.com/question/28017453

#SPJ9

Answer:

5190

Step-by-step explanation:

2.7% of 6000 is 162.

There is a 5 year span between 2009 and 2014.

So just subtract 162 from 6000 5 times, or multiply 162 by 5, then subtract that from 6000.

Hope It Helps!

The value of p in the given equation is -1.

Given is an equation p-3 = -4, we need to find the value of p,

So,

p-3 = -4

p = -4+3

p = -1

Hence, the value of p in the given equation is -1.

Learn more about equations, click;

https://brainly.com/question/29657983

#SPJ1

The uncertain digit in the measurement 127.4 mL is the last digit, which is 4.

In the given measurement of 127.4 mL, the implied uncertainty can be determined by considering the precision of the measurement.

The presence of one decimal place, after the digit 4, suggests that the measurement has a precision of 0.1 mL.

This means that the measurement is accurate to the nearest tenth of a milliliter.

The uncertain digit is the digit that represents the estimated or uncertain value. In this case, the uncertain digit is the last digit, which is 4.

It signifies that there is some level of uncertainty in the exact value of the measurement and that it could vary by ±0.1 mL.

To learn more about decimal place click here

brainly.com/question/29089858

#SPJ11

The location is between values of 1 1/2 and 9.

The values being absolute it means that they have no sign, i.e. they can be either positive or negative.

Since the values are both positive, you have to draw a positive number line.

The purple line indicates the possible locations over the number line.

Answer:

2k = 90°

k = 45 °

Step-by-step explanation:

sum of angles in a triangle = 180°

2k + k + 45° = 180°

3k = 135°

k = 45°

2k = 90°

use graph calculator (attachment)
or you can solve it by equation:
y+2.3=0.45x (eq 1)

-2y=4.2x-7.8
-y=2.1x-3.9

y=-2.1x+3.9 (eq 2)

eg 2 ⇒ eq 1
\(\tt -2.1x+3.9+2.3=0.45x\\\\-2.1x-0.45x=-6.2\\\\x=2.43\\\\y=-2.1(2.43)+3.9=-1.2\)

Answer:

4:3

Step-by-step explanation:

Legit just simplified it.The original ratio is 24:18. First found the greatest common multiple (GCF) and divided both by it. In this case it was 6. So 24/6 = 4 and 18/6 = 3. Now your newly simplified ratio of apples to pears is 4:3.

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

For similar question on population proportion.

https://brainly.com/question/29516589  

#SPJ8

Answer

The average for the next test would be 60

Step-by-step explanation:

50+50+50+50+100= 300

then divide by 5 students

300/5 = 60

Answer:

102.4 im pretty sure this is it forgive me if its wrong

Step-by-step explanation:

Answer:

13.4

Step-by-step explanation: sin= opposite/ hyp  sin(48) = h/ 18  h =  sin(48) * 18

Answer:

25

Step-by-step explanation:

Answer:

14/5

Step-by-step explanation:

The exponential distribution may be used to predict the failure rate of certain items over time. An LED light bulb has an expected lifetime of 25000 hours. Assuming that the lifetime of the LED light bulb follows the exponential distribution, the probability that it will last more than 3 years is closest to (C) 53%. Correct answer is option C

This is because the lifetime of an LED light bulb can be estimated using the following equation : P(x > 3 years) = 1 - P(x ≤ 3 years)where x is the lifetime of the LED light bulb.If we convert 3 years to hours, we get 3 * 365 * 24 = 26280 hours. As a result, P(x ≤ 3 years) = P(x ≤ 26280 hours)

Using the formula for exponential distribution, the probability of the LED light bulb failing after 26280 hours is : Probability = 1 - e^{-λx} Where λ is the failure rate per hour and x is the length of time in hours.We can now calculate the value of λ by dividing the expected lifetime of the bulb by the total number of hours.

 λ = 1/25000 hours  This implies that the probability of the LED light bulb failing after 26280 hours is : P (x ≤ 26280 hours)

Therefore, the probability that the LED light bulb will last more than 3 years is approximately 53 percent. The Correct answer is option C

To know more about LED light bulb here:

https://brainly.com/question/30654300

#SPJ11

The correct answer is a)True  c)True The order of the cyclic group is determined by the number of elements in the group, whereas the order

a. True. If a nonempty subset H of a group G is closed under the binary operation of G, contains the identity element of G, and contains the inverse of each of its elements, then H is a subgroup of G.

c. A is true but B is false. Every cyclic group is indeed abelian, but the order of the cyclic group is not necessarily the same as the order of its generator. The order of the cyclic group is determined by the number of elements in the group, whereas the order of the generator refers to the smallest positive exponent that generates all elements of the group.

a. Zero has no inverse. In the set of real numbers under the usual multiplication operation, the element zero does not have a multiplicative inverse. Every nonzero real number has an inverse, but zero itself does not. In a group, every element should have an inverse, so the set of all real numbers under multiplication does not form a group.

Learn more about abelion groups here:

https://brainly.com/question/30454143

#SPJ11

Answer:

Step-by-step explanation:Yes, the points B, C, M, and N are concyclic.

In a triangle ABC, if perpendiculars BM and CN are drawn from the vertices B and C to the sides AC and AB respectively, then the quadrilateral BCNM is a cyclic quadrilateral. This means that the points B, C, M, and N lie on a common circle.

To see why this is true, consider the angles formed by the sides of the quadrilateral BCNM. Since BM is perpendicular to AC, angle BMC is a right angle. Similarly, CN being perpendicular to AB makes angle CNC a right angle as well.

Now, angle BNC is the sum of angles BMC and CNC, which means it is also a right angle. Similarly, angle BMC is the sum of angles BNC and CNB, so it is a right angle too.

Since all angles of the quadrilateral BCNM are right angles, the quadrilateral can be inscribed in a circle where the diameter is the line segment BC. Therefore, the points B, C, M, and N are concyclic.

Learn more about cyclic quadrilaterals and properties of triangles here:

https://brainly.com/question/14323008

#SPJ11

Answer:

I hope this helps!

By using given figure, x=9/4 and the length of GH = 21.75.

What is the length ?

Here, in given figure,

BG≈GF and CH≈HE

now by using these similarities, we can write as,

BG≈GF therfore, \(\frac{GF}{BG}\) = 1:1

\(\frac{GF}{BF}\)=\(\frac{4x+8}{34}\)

1/2=\(\frac{4x+8}{34}\)

8x+16=34

8x= 18

x=9/4

if x=9/4 then,

GH= 7x+6 = 7(9/4)+6 =63/4+6 =\(\frac{63+24}{4}\) = 21.75

What is similarity of sides?

similarity of sides refers to the property of two geometric shapes or figures having the same shape but not necessarily the same size. More specifically, two shapes are said to be similar if their corresponding angles are congruent and their corresponding sides are proportional in length.

To know more baout similarities, visit:

https://brainly.com/question/9753824

#SPJ1

To determine the monthly payment on a 5-year car loan with a monthly percentage rate of 0.625%, we need to calculate the present amount borrowed (Pn) and then use the given formula to solve for the monthly payment (PMT).

Given:

Original cost of the car (Pn) = $21,000

Down payment = $1,000

Monthly interest rate (i) = 0.625% = 0.00625

Number of monthly pay periods (n) = 5 years * 12 months/year = 60 months

First, calculate the present amount borrowed (Pn):

Pn = Original cost - Down payment

Pn = $21,000 - $1,000

Pn = $20,000

Now, use the formula to calculate the monthly payment (PMT):

PMT = Pn * ((1 - (1 + i)^(-n)) / i)

PMT = $20,000 * ((1 - (1 + 0.00625)^(-60)) / 0.00625)

Calculating this expression using a calculator or spreadsheet, the monthly payment (PMT) is approximately $377.42 (rounded to the nearest cent).

Therefore, the monthly payment on the 5-year car loan is approximately $377.42.

Learn more about percentage here: brainly.com/question/32388485

#SPJ11

Answer:

Hi

Step-by-step explanation:

I don't know bec we didn't learn this.. So.. Sorry

Answer:

52

Step-by-step explanation:

6+2+6=14

14*3=42

2*5(the five wasn't in the question but it's on the picture sooooo yeah)=10

42+10=52