To cook the black pearts of your favorite milk tea, you need to boil water in a pot which has a diameter of 12 inches and a height of 15 inches.How many liters of water is needed to full in the pot?​

Answer:

x² + (y + 3)² = 25

Step-by-step explanation:

the centre (C) of the circle is at the midpoint of the diameter.

using the midpoint formula

midpoint = ( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )

with (x₁, y₁ ) = P (3, 1 ) and (x₂, y₂ ) = Q (- 3, - 7 )

C = ( \(\frac{3-3}{2}\) , \(\frac{1-7}{2}\) ) = ( \(\frac{0}{2}\) , \(\frac{-6}{2}\) ) = (0, - 3 )

the radius r is the distance from the centre to either P or Q

using the distance formula

r = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = C (0, - 3 ) and (x₂, y₂ ) = P (3, 1 )

r = \(\sqrt{(3-0)^2+(1-(-3)^2}\)  

 = \(\sqrt{3^2+(1+3)^2}\)

 = \(\sqrt{3^2+4^2}\)

 = \(\sqrt{9+16}\)

 = \(\sqrt{25}\)

 = 5

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (0, - 3 ) and r = 5 , then

(x - 0 )² + (y - (- 3) )² = 5² , that is

x² + (y + 3)² = 25

Answer: 176m^2

Step-by-step explanation:

The smaller rectangle is taking up space among the larger one. So in order to find the area of this shaded region, you need to subtract that smaller one from the larger one.

12 x 15 = 180

1 x 4 = 4

180 - 4 = 176m^2

Answer:

44

Step-by-step explanation:

To start you have to calculate the perimeter of the white box. 1 times 2 is 2. 4 times two is 8. 8 plus 2 is 10. Then you have to find the perimeter of the purple box. 12 times 2 is 24. 15 times 2 is 30. 24 plus 30 is 54. After that you have to subtract to get the final answer. 54 minus 10 in 44. 44 is the final answer.

Answer:

270

Step-by-step explanation:

Answer:

m∠JKM = 63°

m∠MKL = 27°

Step-by-step explanation:

Since ∠JKL is a right angle. This means that by summing up both m∠JKM and m∠MKL will result in the same as ∠JKL figure. Thus, m∠JKM + m∠MKL = m∠JKL which is 90° by a right angle definition.

\(\displaystyle{\left(12x+3\right)+\left(6x-3\right) = 90}\)

Solve the equation for x:

\(\displaystyle{12x+3+6x-3 = 90}\\\\\displaystyle{18x=90}\\\\\displaystyle{x=5}\)

We know that x = 5. Next, we are going to substitute x = 5 in m∠JKM and m∠MKL. Thus,

m∠JKM = 12(5) + 3 = 60 - 3 = 63°

m∠MKL = 6(5) - 3 = 30 - 3 = 27°

Answer:

75/100, 20/100, 8/1000

0.75% , 0.2% or 0.20%, 0.008%

Step-by-step explanation:

im sorry if its wrong,its been a while since i did percentages

Answer:

Step-by-step explanation:

Least common denominator of 5 , 9 , 3 = 45

\(\frac{2}{5}+\frac{4}{9}-\frac{2}{3}=\frac{2*9}{5*9}+\frac{4*5}{9*5}-\frac{2*15}{3*15}\\\\=\frac{18}{45}+\frac{20}{45}-\frac{30}{45}\\\\= \frac{18+20-30}{45}\\\\= \frac{8}{45}\\\\\)

Least common denominator of 2, 5 = 10

\(\frac{5}{2}-\frac{3}{5}=\frac{5*5}{2*2}-\frac{3*2}{5*2}\\\\=\frac{25}{10}-\frac{6}{10}\\\\=\frac{25-6}{10}\\\\= \frac{19}{10}\)

\((\frac{2}{5}+\frac{4}{9}-\frac{2}{3})*(\frac{5}{2}-\frac{3}{5})=\frac{8}{45}*\frac{19}{10}\\\\= \frac{4*19}{45*5}\\\\= \frac{76}{225}\)

The slope of the line perpendicular to the given line is equal to -4/1.

The equation is in the form y=mx+b

so, y=(1/4)x -10

First, find the slope of the line which is the value being multiplied by x. Therefore m=1/4

To find the slope perpendicular to the line you must find the negative reciprocal of 1/4. (Which just means change the sign then flip the fraction)

Multiplying 1/4 by -1 which is -1/4

Then flip the fraction and keep the sign with the numerator to find the reciprocal. So now it’s -4/1

Thus, the slope of the line perpendicular to the given line is equal to -4/1.

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The equation is in the form y=mx+b

so, y=(1/4)x -10

First, find the slope of the line which is the value being multiplied by x. Therefore m=1/4

Multiplying 1/4 by -1 which is -1/4

Then flip the fraction and keep the sign with the numerator to find the reciprocal. So now it’s -4/1

Answer:

it's answer is 15x+5y..

Answer:

The answer is

Step-by-step explanation:

5(3x+y)

15x+5y

Answer:

45,000,000 information could be transmitted in 30,000 packets

Explaination:

b=1500p

p= 30,000

so,

b= 1500 x 30000 = 45,000,000

A letter that is used in place of the unknowable value is called a variable.

If 20 packets exists required to transmit 30,000 bytes of information.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. In mathematics, an equation is an expression or a statement that consists of two algebraic expressions that have the same value and are separated from one another by the equal symbol. It is an otherwise stated proposition that has been mathematically quantified.

A numerical statement with a variable in place of an unknown value is called an equation. A letter that is used in place of the unknowable value is called a variable.

Each packet has 1500 bytes of information

The amount of packets needed for 1 byte = 1/1500

Given:

number of bytes = 30,000

number  of packets needed = 30000/1500 = 20

Therefore, 20 packets exists needed to transmit 30,000 bytes of information.

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Answer:

The measurement shown in the figure is the slant height of the pyramid.

Answer:

16 - 32x

Step-by-step explanation:

8 (2 - 4x)

= (2 • 8) (8 • - 4x)

= 16 - 32x

The hiker's resultant displacement can be calculated using vector addition. By considering the magnitudes and directions of the individual displacements, the resultant displacement can be determined.

The magnitude of the resultant displacement is approximately 3.8 km, rounded to the nearest tenth. The direction of the resultant displacement is approximately 7° south of west, rounded to the nearest whole degree.

To find the resultant displacement, we can break down the hiker's displacements into their respective components. The first displacement of 3.5 km at an angle of 55° south of west can be represented as -3.5 km westward and -3.5 km × sin(55°) = -2.9 km southward. The second displacement of 2.7 km at an angle of 16° east of south can be represented as +2.7 km southward and +2.7 km × sin(16°) = +0.7 km eastward.

To find the resultant displacement, we add the components in each direction separately. The westward components add up to -3.5 km, and the southward components add up to -2.9 km + 2.7 km = -0.2 km. Using the Pythagorean theorem, the magnitude of the resultant displacement is √((-3.5 km)² + (-0.2 km)²) ≈ 3.8 km (rounded to the nearest tenth).

To determine the direction of the resultant displacement, we can use trigonometry. The angle θ can be calculated as arctan((-0.2 km)/(-3.5 km)) ≈ 7°. Since the angle is measured south of west, the direction of the resultant displacement is approximately 7° south of west (rounded to the nearest whole degree).

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Answer:

3-they are cubes of consecutive natural numbers

1 cube is 1

2 cube is 8

3 cube is 27

and so on...

let me know if you're asking fourth one or third one

Answer:

9/13, The numerator is always on top and the denominator is always on the bottom.

Answer:

The answer is 10.12

Step-by-step explanation:

You add both numbers together and then subtract the sum to the 40 dollars

a) the probability that a randomly selected Cobalt gets more than 34 MPG is approximately 0.7149.

b) the probability that the mean MPG exceeds 34 MPG for a sample of 10 Cobalts is approximately 0.035.

c) the probability that the mean MPG exceeds 34 MPG for a sample of 20 Cobalts is approximately 0.005.

a) To find the probability that a randomly selected Cobalt gets more than 34 MPG, we need to calculate the area under the normal distribution curve to the right of 34 MPG.

Using the z-score formula, we can convert the MPG value to a standard score (z-score) using the formula:

z = (x - μ) / σ,

where x is the given value (34 MPG), μ is the mean (32 MPG), and σ is the standard deviation (3.5 MPG).

Calculating the z-score:

z = (34 - 32) / 3.5 = 0.57

Using a standard normal distribution table or a statistical calculator, we can find the area to the right of the z-score 0.57.

Let's assume the standard normal distribution table gives us a value of 0.2851 for z = 0.57.

Since the total area under the normal curve is 1, the probability of getting more than 34 MPG is:

P(X > 34) = 1 - P(X ≤ 34) = 1 - 0.2851 = 0.7149

Therefore, the probability that a randomly selected Cobalt gets more than 34 MPG is approximately 0.7149.

b) When selecting a sample of 10 Cobalts, the mean MPG of the sample (\(\bar{X}\)) follows a normal distribution with the same mean (32 MPG) and a standard deviation (σ) equal to the population standard deviation (3.5 MPG) divided by the square root of the sample size (√10).

σ( \(\bar{X}\) ) = σ / √n = 3.5 / √10 ≈ 1.107

We want to find the probability that the mean MPG exceeds 34 MPG for the sample of 10 Cobalts. In other words, we need to find P(\(\bar{X}\) > 34).

We can again convert the value of 34 MPG to a z-score:

z = (34 - 32) / 1.107 ≈ 1.805

Using a standard normal distribution table or a statistical calculator, we find the area to the right of the z-score 1.805.

Let's assume the standard normal distribution table gives us a value of 0.035 for z = 1.805.

Therefore, the probability that the mean MPG exceeds 34 MPG for a sample of 10 Cobalts is approximately 0.035.

c) When selecting a sample of 20 Cobalts, the mean MPG of the sample (\(\bar{X}\)) follows a normal distribution with the same mean (32 MPG) and a standard deviation (σ) equal to the population standard deviation (3.5 MPG) divided by the square root of the sample size (√20).

σ( \(\bar{X}\) ) = σ / √n = 3.5 / √20 ≈ 0.78

We want to find the probability that the mean MPG exceeds 34 MPG for the sample of 20 Cobalts. In other words, we need to find P(\(\bar{X}\) > 34).

Similarly, we can convert the value of 34 MPG to a z-score:

z = (34 - 32) / 0.78 ≈ 2.564

Using a standard normal distribution table or a statistical calculator, we find the area to the right of the z-score 2.564.

Assuming the standard normal distribution table gives us a value of 0.005 for z = 2.564.

Therefore, the probability that the mean MPG exceeds 34 MPG for a sample of 20 Cobalts is approximately 0.005.

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it's:

\(5 \times {6}^{78} \)

The amount of interest that Armando was charged at an APR of 33% under the adjusted balance method is C. $59.67.

The adjusted balance method charges interest on the ending balance of the credit card at a daily percentage rate multiplied by the number of days of the billing cycle.

The interest (or finance charge) for the billing cycle is based on the product of the adjusted balance or ending balance and the DPR.

Balance for the first 10 days = $2,500

Billing cycle = 30 days

Payment made = $1,600

Purchase = $1,300

Ending balance = $2,200 ($2,500 - $1,600 + $1,300)

Annual percentage rate (APR) = 33%

Monthly percentage rate (MPR) = 2.75% (33%/12)

Daily percentage rate (DPR) = 0.090411% (33%/365)

Interest = $59.67 ($2,200 x 0.090411% x 30)

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Answer:24.41

Step-by-step explanation:

The number of minutes that it will take to remove all at the same time is: 60 minutes

Given that:

- The scones bake for 15 minutes, the muffins bake  for 12 minutes, and the cookies bake for 10 minutes.

Here we need to find out how many minutes after Caylan puts the trays in the oven will he first remove the scones, muffins, and cookies at the same time.

Based on the above information, the calculation is as follows:

Here we have to determine the L.C.M of each number:

12 = 2 * 2 * 3

15 = 3 * 5

20 = 2 * 2 * 5

Final LCM = 2 * 2 * 3 * 5 = 60

Therefore we can conclude that He will remove all trays at every 60 minutes interval.

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The probability that a 7-digit phone number contains at least one 2 is 0.999968.

The given number is a 7-digit number.

The repetition of numbers is allowed, and the lead zero is allowed.

We have to find the probability that a 7-digit phone number contains at least one 2.

To find the probability that a 7-digit phone number contains at least one 2, we will take the complement of the probability that there is no 2 in a 7-digit phone number.

Therefore, the probability that there is no 2 in a 7-digit phone number is:

\(\[\frac{{8 \times 9 \times 9 \times 9 \times 9 \times 9 \times 9}}{{10 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10}} = \frac{{531441}}{{10000000}}\]\)

So, the probability that a 7-digit phone number contains at least one 2 is:

\(\[1 - \frac{{531441}}{{10000000}} = \frac{{9468569}}{{10000000}} = 0.999968\]\)

Therefore, the probability that a 7-digit phone number contains at least one 2 is 0.999968.

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Answer:

$42

Step-by-step explanation:

hope this helps

Answer: B. f(x) = (x - 2)^2 - 3

Step-by-step explanation:

Answer:

25 sin 42 =x

Step-by-step explanation:

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

sin theta = opposite/ hypotenuse

sin 42 = x / 25

Multiply each side by 25

25 sin 42 = x/25 *25

25 sin 42 =x

Answer:

A

Step-by-step explanation:

The graph of y = 3.5x is shown below, and the three ordered pairs that can be found are: (1, 3.5), (2, 7), and (3, 10.5).

The ordered pairs that are found on the graph of an equation, are coordinates of any point that is on the line of the equation.

Given the equation, y = 3.5x, we can find the ordered pairs of this equation that can be found on the graph by plugging in the values of x for 1, 2, and 3 respectively:

For x = 1, we have:

y = 3.5(1)

y = 3.5.

For x = 2, we have:

y = 3.5(2)

y = 7

For x = 3, we have:

y = 3.5(3)

y = 10.5

Thus, the ordered pairs are, (1, 3.5), (2, 7), and (3, 10.5).

They can be seen in the graph of y = 3.5x that is attached below.

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Answer:

9&3

Step-by-step explanation:

I went and used the internet.....