What is the image of (-1,1) after dilation of 2

Answer:

30x=48+22×

30x -22x=48

8x=48

x=6

Answer:

B) What is your height measured to the nearest inch?

Explanation:

A statistical question can be answered by collecting data from various people which varies.

Here Look For the Question's which may vary person to person.

A) Assuming 6th graders must have same period and time schedule.
B) Height in school of 6th graders can vary person to person.
C) There are total 11 letters and doesn't vary. it's exactly 11 letters.
D) The audience are from the same school.

Answer:

B) What is your height measured to the nearest inch?

Step-by-step explanation:

Statistical questions are questions which can have a variety of answers, explanations & justifications.

Fpr example, asking the weather report to people from four different countries in four different continents is a statistical questions as their answers can vary.

\(\rule{150pt}{2pt}\)

Now, in the above question, the questions are asked to 205 students from the same school & same grade.

A) Since the students belong to the same grade and the same school, there will be no difference in the timings of their second period class. So, this question is non-statistical question.

B) Height among students can vary even if they're of the same age or gender. Since this question can have various answers, it's a statistical question.

C) The word given is 'STATISTICAL' & it will always have eleven letters in it. It's a non-statistical question .

D) The students in the survey all belong to the same school. So, all of the answers will be the same & it'll be a non-statistical question.  

\(\rule{150pt}{2pt}\)

So, the correct answer is → B) What is your height measured to the nearest inch?

\(\rule{150pt}{2pt}\)

There are 10 solutions to the equation a+b+c=30, where each of the variables a, b, and c is an integer that is at least 4.

To find the number of solutions, we can use a combinatorial approach. Let's introduce three new variables: x = a - 4, y = b - 4, and z = c - 4. Now we have x + y + z = 18, where x, y, and z are non-negative integers.

To solve this equation, we can use the concept of stars and bars. Imagine we have 18 stars (representing the sum of x, y, and z) and two bars (representing the two "+" signs). The stars can be arranged in a line, and the bars can be placed at any two positions among the 18+2 = 20 positions (stars and bars combined). The number of ways to arrange the stars and bars is equivalent to the number of solutions to the equation.

Using the stars and bars formula, the number of solutions is (20 choose 2) = 20! / (2! * 18!) = 190.

However, this count includes solutions where x, y, or z could be zero. Since we need each variable to be at least 4, we subtract the cases where one or more variables are zero.

If x is zero, we have y + z = 18. Using the same stars and bars approach, we have (19 choose 1) = 19 solutions.

Similarly, if y or z is zero, we also have 19 solutions each.

Therefore, the final count of solutions satisfying the given condition is 190 - 19 - 19 - 19 = 133.

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Answer:

-9

Step-by-step explanation:

domain is the x numbers so -9 is the only one that is under x

Answer:

B= -5/2

Step-by-step explanation:

i added the screen shot of the step by step solution , its hard to do this on a laptop

*mark brainlest*

Answer:

x=10

Step-by-step explanation:

Therefore,  The length of the hollow cylindrical pipe is approximately 55.48 meters.

To solve this problem, we will first find the volume of the solid iron rectangular block and then use it to find the length of the hollow cylindrical pipe. Here are the steps:

1. Find the volume of the rectangular block:
  Volume = Length × Width × Height
  Volume = 3.5m × 2.4m × 2m = 16.8 m³
2. Convert the internal radius and thickness to meters:
  Internal radius = 27 cm = 0.27 m
  Thickness = 4 cm = 0.04 m
3. Calculate the external radius of the pipe:
  External radius = Internal radius + Thickness
  External radius = 0.27m + 0.04m = 0.31m
4. Let L be the length of the pipe. We can write the volume of the hollow pipe as:
  Volume = π × (External radius² - Internal radius²) × Length
  16.8 m³ = π × (0.31² - 0.27²) × L
5. Solve for L:
  L = 16.8 m³ / [π × (0.31² - 0.27²)]
  L ≈ 55.48 meters
Therefore,  The length of the hollow cylindrical pipe is approximately 55.48 meters.

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The value of the actual width of the building is 2400000 m

From the question, we have the following parameters that can be used in our computation:

Width of the offcie = 30 mm

Scale = 1 : 80,000

using the above as a guide, we have the following:

Actual = Scale * Width of the offce

when the given values are substituted in the above equation, we have the following equation

Actual = 80000 * 30 m

Evaluate

Actual = 2400000 m

Hence the actual width of the building is 2400000 m

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Answer:

128/15 minutes or 8.5 minutes

Step-by-step explanation:

By using unitary method, Time required to paint 5/8 of wall = 16 minutes.

Time required to paint 1/1 of wall = 16*8/5

Hence, Time required to paint 1/3 of wall = 16*8/5*1/3

Hope this helps, thank me later

Answer:

8.53 minutes

Step-by-step explanation:

Using the perimeter of a rectangle, it is found that she can make a deck of 122 ft wide.

The perimeter of a rectangle of length l and width w is given by:

\(P = 2(l + w)\)

In this problem:

Then:

\(P = 2(l + w)\)

\(280 = 2(10 + 8 + w)\)

\(36 + 2w = 280\)

\(2w = 244\)

\(w = \frac{144}{2}\)

\(w = 122\)

She can make a deck of 122 ft wide.

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Answer: 321A, 546B, 879C, etc

Answer:

It will take 1.29 minutes for Jamaal to write a full page.

Step-by-step explanation:

This question is asking us for the unit rate. So, we must divide the numerator by the denominator in 18/14.

18 ÷ 14 = 1.29

This means that it will take 1.29 minutes for Jamaal to write a full page.

Hope this helps! :)

The probability that the 3rd patient with heart failure that enters the emergency room is the first one due to outside factors is 0.02712.

Probability of natural occurrences = 0.82Probability of outside factors = 0.18To find the probability that the 3rd patient with heart failure that enters the emergency room is the first one due to outside factors, we have to consider two possibilities:

The first two patients are due to natural occurrences, or the first two patients are due to outside factors.If the first two patients are due to natural occurrences, the probability of the third patient being the first due to outside factors is:0.82 x 0.82 x 0.18 = 0.12272

If the first two patients are due to outside factors, the probability of the third patient being the first due to outside factors is:0.18 x 0.82 x 0.82 = 0.12272

Therefore, the total probability of the third patient being the first due to outside factors is the sum of these two probabilities:0.12272 + 0.12272 = 0.24544But, we have counted the case where all three patients have outside factors twice, so we need to subtract that probability once:0.24544 - 0.01836 = 0.22708

Therefore, the probability that the 3rd patient with heart failure that enters the emergency room is the first one due to outside factors is 0.22708 or approximately 0.02712.

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Answer:

37

Step-by-step explanation:

2+35 =37 is the answer to that one day

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that On​ Monday, a museum had 350 visitors while on Tuesday, it had 680 visitors. The percent change in the number of visitors to the museum will then be:

= (680 - 350)/350 × 100

= 330/350 × 100

= 94.29%

The number of people that'll have to visit on Wednesday to have the same estimated percent change will be:

= 680 + (94.29% × 680)

= 680 + (0.9429 × 680)

= 680 + 641

= 1321

The values of the trigonometric identities are;

1. tan X = 10/17

2.  tan X = 29/25

3. sin A = 24/25

4. tan C = 15/17

5. sin A = 8/17

6. cos A = 9/41

7. cos Z = 3/4

Note that fractions are the part of a whole number.

Also,

sin θ = opposite/hypotenuse

cosθ = adjacent /hypotenuse

tan θ = opposite/adjacent

1. tan X = opposite/ adjacent

tan X = 30/21 = 10/7

2. tan X = 29/25

3. sin A = opposite/hypotenuse

sin A = 24/25

4. tan C = opposite/adjacent

tan C = 30/34

tan C = 15/17

5. sin A = 16/34

sin A = 8/17

6. cos A = adjacent/hypotenuse

cos A = 9/41

7. sin A = 21/35

8. cos Z = 21/28

cos Z = 3/4

Hence, the fractions takes the function of the trigonometric identities.

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Answer:

A) The percent increase is by 30%.

B) for the original price = 15%.

B2.0) for the existing price (39) = approximately 11.54%.

Step-by-step explanation:

A) First, we divide 30 by 100. The result is the amount that 1% would be(0.3). If you multiply it by 30(which will become 30%) it will be 9. And from 30-39 is 9.

B) First we divide 30 by 100. The result is the amount that 1% would be(0.39). then if you multiply it by 11.54(which will become 11.54%) it will be 4.50(approximately because it actually is 4.5006 and there is no amount that ends up in 4.50). But if you are asking what percentage from the original cost(30) it would be 15% of it(because 0.3 * 15 = 4.50).

a)  Both the balloons will hit the ground at the same time.

b) The time taken by the second balloon to reach the ground : t'' = √(h/g)

c) The balloon B is moving with the fastest speed at impact (once it reaches the ground).

d) The balloon A has more chance to hit the car.

a) When the balloon A is thrown to the right horizontally, its vertical motion can be treated as if it is free fall motion under gravity. Therefore, it takes time, t for the balloon to hit the ground given as:

t = √(2h/g), where h is the height of the building and g is acceleration due to gravity.

Similarly, for the balloon B that is thrown down, the time taken to hit the ground is given by:

t' = √(2h/g),

since both the balloons are thrown from the same height. Thus, both the balloons will hit the ground at the same time.

b) For the second balloon, the time taken to reach the ground after the first balloon hits the ground is the time it takes to cover the distance h only.

Using the formula of distance covered, we can find the time taken to reach the ground after the first balloon hits the ground for the second balloon given as:

h = (1/2) g t''^2

where t'' is the time taken by the second balloon to reach the ground after the first balloon hits the ground.

Substituting t = √(2h/g) in the above equation, we get:

t'' = √(h/g)

c) When the balloon A reaches the ground, it is only moving horizontally with the speed v0.

On the other hand, when the balloon B reaches the ground, it is moving both horizontally and vertically with the speed √(2gh + v0^2), as it is thrown down with an initial velocity of v0 and accelerated downwards due to gravity.

d)As the balloon A is thrown horizontally to the right and the car is moving horizontally to the right, there is a chance that the balloon A can hit the car.

On the other hand, the balloon B is thrown downwards, so it has no chance of hitting the car.

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Answer:

Step-by-step explanation:

The ratio between the volume of the small cone to that of the frustum is 1:1.

Notice that the bigger cone is double than the smaller cone, which means the smaller cone is half of the volume of the bigger cone, if you wipe the small one, you would have the frustum with the same volume as the wiped part, because if you delete the smaller cone, you would be deleting half volume of the bigger cone, giving at the end a relation 1 : 1 between the frustum and the smaller cone.

Answer:

-The volume of the cone is 100.5\(in^3\) .

Step-by-step explanation:

To find the volume of cone, you need the formula:

\(V =\frac{1}{3} \pi r^2 h\)

-Use the radius and the height for the formula:

\(V =\frac{1}{3} \pi 4^2 6\)

-Then, you solve:

\(V =\frac{1}{3} \pi 4^2 6\)

\(V = \frac{1}{3}\pi\) × \(4^2\) × \(6\)

\(V = \frac{1}{3}\pi\) × \(16\) × \(6\)

\(V = \frac{1}{3}\pi\) × \(96\)

\(V = \frac{96}{3} \pi\)

\(V = 32\pi \approx 100.53\)

-Round to the nearest tenth:

\(V \approx 100.5\)

So, therefore, the volume of the cone is 100.5\(in^3\) .

The tuition is an illustration of a linear function.

The cost of tuition and fees in the academic year 2023-2024, is $12260

Let the number of academic years after 2014-2015 academic year be x.

So, we have:

\(\mathbf{(x,y) \to (0,9200)(5,10900)}\)

A linear function is represented as:

\(\mathbf{y = mx + b}\)

Where m represents the slope (i.e. constant rate), and b represents the y-intercept (i.e. the value of y when x = 0)

So, we have:

\(\mathbf{10900 = 5m + 9200}\)

Subtract 9200 from both sides

\(\mathbf{1700 = 5m}\)

Divide both sides by 5

\(\mathbf{340 = m}\)

So, we have:

\(\mathbf{m =340 }\)

The function becomes

\(\mathbf{y = mx + b}\)

\(\mathbf{y = 340x + 9200}\)

In the academic year 2023-2024, x = 9.

So, we have:

\(\mathbf{y = 340x + 9200}\)

\(\mathbf{y = 340 \times 9 + 9200}\)

\(\mathbf{y = 3060 + 9200}\)

\(\mathbf{y = 12260}\)

Hence, the cost of tuition and fees is $12260

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Answer

y=(7x-π)/2

Step-by-step explanation:

π=7x-2y

2y=7x-π

y=(7x-π)/2

The best estimate for the weight of a cantaloupe is 2 kilograms (B).

A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.

Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.

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Complete Question:

Choose the best estimate for the weight of a cantaloupe. Responses

A 2 decigrams

B 2 kilograms

C 2 grams

D 2 milligrams

If a credit card advertises an annual interest rate of 23%, then the equivalent monthly interest rate is 1.74%

The annual interest rate = 23%

The credit card interest rate the amount you have to pay to borrow the money from them.  The credit card interest rate is usually expressed in yearly rate. This is called annual percentage rate.

The monthly interest rate = \((1+\frac{23}{100})^{(1/12)}\)

= \((1+0.23)^{(1/12)}\)

= 1.0174

Then,

= (1.0174-1) × 100%

Subtract the terms first

= 0.0174 × 100%

Multiply it

= 1.74%

Hence, if a credit card advertises an annual interest rate of 23%, then the equivalent monthly interest rate is 1.74%

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Answer:

the price with the offer is going to be 1.59$

Step-by-step explanation:

\( \frac{x}{5.30} = \frac{70}{100} \)

\(100(x) = 70(5.30)\)

\(100(x) = 371\)

\( \frac{100(x)}{100} = \frac{371}{100} \)

\(x = 3.71\)

\(70\% \: \: \: of \: \: \: 5.30 \: \: \: is \: \: \: 3.71\)

\(5.30 - 3.71 = 1.59\)

Answer:

\((x+4)^2+(y-3)^2=149\)

Step-by-step explanation:

The equation of a circle is \((x-h)^2+(y-k)^2=r^2\) where \((h,k)\) is the center of the circle and \(r\) is the radius of the circle.

Given that \((h,k)\rightarrow(-4,3)\) and it passes \((6,-4)\), their distance between each other must the radius of the circle, so we can use the distance formula to find the radius:

\(d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(-4-3)^2+(6-(-4))^2}\\\\d=\sqrt{(-7)^2+10^2}\\\\d=\sqrt{49+100}\\\\d=\sqrt{149}\)

Therefore, if the length of the radius is \(r=\sqrt{149}\) units, then \(r^2=149\), making the final equation of the circle \((x+4)^2+(y-3)^2=149\)

Therefore, all possible values of aa that satisfy the conditions are aa such that a<34a<43​.

To find all possible values of aa such that the quadratic equation ax2+(2a+2)x+a+3=0ax2+(2a+2)x+a+3=0 has two roots with a distance greater than 1 on the number line, we can use the discriminant.

The discriminant of a quadratic equation ax2+bx+c=0ax2+bx+c=0 is given by Δ=b2−4acΔ=b2−4ac. For the equation to have two distinct real roots, the discriminant must be greater than 0.

In our case, the discriminant is Δ=(2a+2)2−4a(a+3)=4a2+8a+4−4a2−12a=−4a+4Δ=(2a+2)2−4a(a+3)=4a2+8a+4−4a2−12a=−4a+4.

For the equation to have two distinct roots with a distance greater than 1, we want Δ>12Δ>12, which simplifies to −4a+4>1−4a+4>1.

Solving this inequality, we have −4a>−3−4a>−3, which leads to a<34a<43​.

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Answer:

9 is the greatest value

Step-by-step explanation: