What are the coordinates of the image of vertex C after a dilation with center (0, 0) and scale factor 2?


A. C’(3, 4)
B. C’(4, 6)
C. C’(6, 2)
D. C’(6, 4)
i know it isnt A i got it wrong

Answer:

60, 78

Step-by-step explanation:

To find a pattern, try experimenting.

Going from 8 to 18 is + 10

Going from 18 to 30 is + 12

Going from 30 to 44 is + 14

We see that we add 2 more extra than the term before (+10, +12, +14)

So, we just add 2 for the next 2 terms which will be +16 and + 18

which are 44 + 16 = 60

and 60 + 18 = 78

Answer:

im not sure but the pattern im seeing is adding by even numbers i could be wrong but I think the next two numbers are 60, and 78

Step-by-step explanation:

8 + 10 is 18

18+ 12 is 30

30 +14 is 44

so i did

44+16 and got 60

and 60 + 18 is 78.

Answer:

Yes

Step-by-step explanation:

I = 2950

T = 22% x 2950 = 649

CC = 10% x 2950 = 295

NC = 8% x 2950 = 256

R = 1300

I - (T + CC + NC + R) > 0

2950 - ( 649+ 295 + 256 + 1300) > 0

2950 - 2500 >= 0

450 > 0

Answer:

2 schedule

I I think you can go for Tuesday and Friday because Tuesday totally good and Friday is stress-free because the day after is Saturday

I also try to gather the chess team in figure out a way suitable for your practice, maybe some are going to be busy

Answer:

-228

Step-by-step explanation:

Answer:

she spent 19 hours on her book report

Step-by-step explanation:

you take 6 hours subtract by 1 hour for math then you get 5 do then 24-5 Is 19

Hope this helps

To find the ordered pair solution for this system of equations, we need to find the value of x that satisfies both equations and then find the corresponding value of f(x) using either of the equations. the ordered pair solution is: (2, 1)

Setting the two functions equal to each other, we have:

\(x^2 + 4 = 4x\)

Rearranging, we get:

\(x^2 - 4x + 4 = 0\)

This quadratic equation can be factored as:

\((x - 2)^2 = 0\)

Therefore, the only solution is \(x = 2.\)

Substituting x = 2 into either of the original equations, we have:

\(f(2) = 2^2 + 4 = 8\)

Therefore,  the ordered pair solution is: \((2, 1)\)

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The component form of the linear combination of the two vectors is u - 2v = < -5, 20>

Here we have the two vectors: u = <-3, -2> and v = <1, -5> We want to determine the value of the linear combination:

u - 2v

To do that we just add the correspondent components, then we get:

u - 2v = <-3, -2> - 2*<1, -5>          

= <-3, -2> - <2*1, 2*-5>          

= <-3, -2> -  <2, -10>          

= < -3 - 2, -2 -(-10)>          

= < -5, 20>

That is the component form of the linear combination.

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Answer:

  A.  The temperatures of the iron bars after 30 minutes would be less than 160°C because heat would be lost to the surroundings.

Step-by-step explanation:

The hotter bar would lose heat to both the cooler bar and the surroundings. The cooler bar would gain heat from the hotter bar, but lose heat to the surroundings. Because heat is lost to the surroundings, the temperature of the iron will be less at the same time (after 30 minutes) than it would be in an isolated system.

Answer:

11/14

Step-by-step explanation:

Answer:

11/14

Step-by-step explanation:

\(\frac{3}{7} *\frac{2}{2}+\frac{5}{14}*\frac{1}{1} \\\frac{6}{14} +\frac{5}{14} =\frac{11}{14}\)

The rule for transformed function W(x ) = V(12x) is, W(x) = 1728 x³ - 864 x² and the value of W(2) is 10368 in³.

Transforming a function means that the curve representing the graph "moves left, right, up and down" or "stretches " or "mirrors". For example, the graph of the function f(x) = x² + 3 can be obtained by simply shifting the graph of g(x) = x² up by 3 units. We have , function of Volume of box in cubic inches, V(x) = x³- 6 x² --(1)

also, an another function, W(x) = V(12x) repreent the volume (in cubic feet ) when x is meaured in inches. Now , understand the problem,

We are a function V whose inputs are in inches and whose outputs are in cubic inches . We are provide an another function W whose inputs are in inches and whose outputs are in cubic feet., W(x) = V(12x) makes sense because there are 12 inche in 1 feet. We are asked to write a rule for W and interpret the output for an input. Write the transformed function W(x) ,

W(x) = V(12x)

=> W(x) = (12x)³ - 6 (12x)²

=> W(x) = 1728 x³- 6× 144 x²

=> W(x) = 1728 x³ - 864 x²

Now, calculate W(2)

W(2) = 1728 (2)³ - 864 (2)²

=> W(2) = 13824 - 3456

=> W(2) = 10368 in³

When x is 2 feet , the volume of the is 8100 cubic inches.

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Complete question:

The function V(x)=x3−6x2 repreent the volume (in cubic inche) of the box hown. The function W(x)=V(12x) repreent the volume (in cubic feet) when x i meaured in inches. Write a rule for W. Then find W(2)

Answer:

Step-by-step explanation:

Barbara's cumulative gross earnings for the year up through her last pay date amount to 55000.

As per attached table this amount falls in 4% region ($50001 - $70000).

Her tax per current pay period is:

Correct choice is b)

Answer: \(1/6\)

Step-by-step explanation:

The probability of getting a head is 1/2.

The probability of getting a number less than 3 is 1/3.

Since the events are independent, the probability is \((1/2)(1/3)=1/6\).

Answer:

-4/9

Step-by-step explanation:

I used a calculator.

5/6(−8/15) in simplest form is -4/9.

A fraction is written in the form of a numerator and a denominator.There are two types of fractions. One is proper fraction in which numerator is less than the denominator and another one is improper fraction in which denominator is less than the numerator.All fractions can be written in the form of p/q, where q ≠ 0 cause anything divided by 0 is undefined.

According to the given questions we have to multiply two fractions        (5/6)(-8/15) which is

= -40/90.

= -4/9.

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The probability of having exactly 10 pedestrians crossing from left to right during a 2-minute period is extremely low, at approximately 0.00118%.

We can approach this problem by using the Poisson distribution, which describes the probability of a certain number of events occurring within a given time period, given a known rate of occurrence.

Let X be the number of pedestrians crossing from left to right during a 2-minute period. Since the arrival processes from the left and right sides are independent Poisson processes with rates λL and λR, respectively, we can model X as a Poisson random variable with rate λ = λL + λR = 6.

Therefore, the probability of having exactly k pedestrians crossing from left to right during a 2-minute period is given by the Poisson distribution:

P(X = k) = (e^(-λ) * λ^k) / k!

Now we want to find the probability that in a particular crossing, there are a total of 10 pedestrians crossing from left to right. Let Y be the total number of pedestrians crossing in both directions during a 2-minute period.

Since the arrival processes from the left and right sides are independent, we can model Y as a Poisson random variable with rate 2λ = 12.

Since we know that there are 10 pedestrians crossing from left to right, there must be a total of 10 pedestrians crossing in both directions. Therefore, we want to find the probability that out of the 10 pedestrians, exactly 10 of them are crossing from left to right.

We can use the binomial distribution to calculate this probability. Let Z be the number of pedestrians crossing from left to right out of the 10 pedestrians. Since each pedestrian has an independent probability of crossing from left to right of 1/2, we have:

P(Z = 10) = (10 choose 10) * (1/2)^10

= 1/1024

Therefore, the probability that in a particular crossing, there are a total of 10 pedestrians and they are all crossing from left to right is:

P(X = 10, Y = 10) = P(X = 10) * P(Z = 10)

= (e^(-6) * 6^10 / 10!) * (1/1024)

≈ 0.0000118

Writing this probability in percentage gives = 0.0000118 x 100% = 0.00118%

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Complete question is:

Pedestrians approach a crossing from the left and right sides following independent Poisson processes with average arrival rates of λL = 5 and λR = 1 arrivals per minute. Each pedestrian then waits until a light is flashed, at which time all waiting pedestrians must cross to the opposite side (either from left to right or from right to left). Assume that the left and right arrival processes are independent, that the light flashes every T = 2 minutes, and that crossing takes zero time – it is instantaneous.

1. What is the probability that in a particular crossing, there are total 10 pedestrian and they are all crossing from left to right?

When the base area (30 cm2) and height are multiplied, the right triangular prism's surface area is computed to be 144\(cm^2\).

1. Calculate the area of the triangular base:

A = 1/2(base × height)

A = 1/2(5 × 12)

A = 30 \(cm^2\)

2. Calculate the area of each of the three rectangular faces:

A = length × width

A = 5 × 2 = 10 \(cm^2\)

A = 12 × 2 = 24 \(cm^2\)

A = 13 × 2 = 26\(cm^2\)

3. Calculate the total surface area:

SA = 2×(base area) + 3×(face area)

SA = 2×(30) + 3×(10 + 24 + 26)

SA = 60 + 84

SA = 144\(cm^2\)The area of the triangle can then be multiplied by the prism's height to obtain the total surface area.

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For the first triangle with side lengths A = 83, b = 9, and c = 6, the area is approximately 20.52 square units. For the second triangle with side lengths a = 9, b = 16, and c = 14, the area is approximately 63.58 square units.

To find the area of a triangle when the lengths of its sides are known, we can use Heron's formula. According to Heron's formula, the area (A) of a triangle with side lengths a, b, and c is given by:

A = √(s(s - a)(s - b)(s - c))

where s is the semi-perimeter of the triangle, defined as:

s = (a + b + c)/2

Let's calculate the area for each triangle:

1) For the first triangle with side lengths A = 83, b = 9, and c = 6, we first calculate the semi-perimeter:

s = (83 + 9 + 6)/2 = 49

Next, we substitute the values into Heron's formula:

A = √(49(49 - 83)(49 - 9)(49 - 6)) = √(49*(-34)*40*43) = √(498960) ≈ 706.87

Rounding to the nearest two decimal places, the area is approximately 20.52 square units.

2) For the second triangle with side lengths a = 9, b = 16, and c = 14, we calculate the semi-perimeter:

s = (9 + 16 + 14)/2 = 19.5

Using Heron's formula:

A = √(19.5(19.5 - 9)(19.5 - 16)(19.5 - 14)) = √(19.5*10.5*3.5*5.5) = √(2502.375) ≈ 50.02

Rounding to the nearest two decimal places, the area is approximately 63.58 square units.

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Answer:

soulutions

0,03| = 3×1^100 × 1× 1^1000

=3^100 + 1^1000

=30^1000 + 1^1000

=31^1000

(3=3×10 =30 )

(100 1000 1000 )

The inequality that represents the situation is given by:

\(g \geq 14\)

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

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

From the bullet points, it is found that the minimum amount of goals that Bo may have scored is:

\(M = 7\times2 = 14\)

That is, in each game, he scored exactly 2 goals, leading to a minimum total of 14 goals.

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

Thus, the inequality that models the situation is:

\(g \geq 14\)

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The value does 50% of the data lie above is 50.5 and is called the median.

The median is the value that's exactly in the middle of a dataset when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values.

Given that, The box plot shows the times for sprinters on a track team. A horizontal number line starting at 40 with tick marks every one unit up to 59. The values of 44, 48, 50.5, 53, and 56 are all marked by the box plot.

Data we get from the graph is

Minimum (min) = 44

Lower 1 (Q1) = 48

Median (med) = 50.5

Upper 3 (Q3) = 53

Maximum (max) = 56

The median is considered the second quartile (Q2).

The median cuts the data set in half. Half of the answers lie below the median and half lie above the median.

Hence, The value does 50% of the data lie above is 50.5 and is called the median.

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If the absolute value of the correlation is very close to 0, the error in prediction will be high.

This is because a correlation close to 0 indicates that there is no strong relationship between the variables, and therefore it is difficult to accurately predict one variable based on the other. A correlation value of zero or almost zero indicates that there is no significant link between the variables. A perfect correlation, or coefficient of -1.0 or +1.0, means that changes in one variable exactly anticipate changes in the other. A value of 1 indicates a direct and flawlessly positive link.

No linear relationship exists when the correlation coefficient is 0.

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If the absolute value of the correlation is very close to 0, the error in prediction will be high. The correct answer is D.

When the absolute value of the correlation coefficient is very close to 0, it indicates a weak or negligible linear relationship between the variables being studied. In this case, the variables have little or no linear association.

A low correlation means that there is no strong linear pattern or trend in the data. As a result, it becomes difficult to make accurate predictions or estimates based on the relationship between the variables. The lack of a strong relationship means that the variability in one variable does not provide meaningful information about the variability in the other variable.

Therefore, when the absolute value of the correlation is close to 0, the error in prediction tends to be high. This means that the predicted values based on the weak correlation are likely to deviate significantly from the actual values.

The lack of a strong relationship makes it challenging to accurately estimate or predict one variable based on the other variable.  The correct answer is D.

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The value of the exponent (2/5)^3 is \(\frac{8}{125}\)

In the above question, it is given that

(2/5)^3

The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 2^3) signifies 2 x 2 x 2 = 8.

We need to solve it and then find the value of the exponent

(2/5)^3

= \(\frac{2}{5}\) x \(\frac{2}{5}\) x \(\frac{2}{5}\)

= \(\frac{2 . 2. 2}{5 . 5 . 5}\)

= \(\frac{8}{125}\)

Therefore the value of the exponent (2/5)^3 is \(\frac{8}{125}\)

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Nevermind give the points to the another guy

Step-by-step explanation:

the area of the box (as a square) is

side length × side length = side length ²

that is here 12² = 144 in²

the area of a circle is

pi×r²

that is here

pi×5² = pi×25 = 3.14×25 = 78.50 in²

the difference is

144 - 78.5 = 65.50 in²

Answer:

a) \(p \geq 60\,ft^{2}\), b) \(w \geq 36\,ft\), c) \(1\,qt \leq q \leq 2\,qt\), d) \(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\)

Step-by-step explanation:

In this question we proceed to translate each sentence into mathematical language and, more specifically, inequations:

a) At least 60 square feet of plywood for the surface

Let \(p\) the surface area of plywood, measured in square feet, and the inequation is:

\(p \geq 60\,ft^{2}\) (Eq. 1)

b) At least 36 feet of wood planks for the frame of the dog house

Let \(w\) the total length of wood planks, measured in feet, and the inequation is:

\(w \geq 36\,ft\) (Eq. 2)

c) Between 1 and 2 quarts of paint

Let \(q\) the total capacity of paint, measured in quarts, and the inequation is:

\(1\,qt \leq q \leq 2\,qt\) (Eq. 3)

d) Han's budget is $ 65. Plywood costs $ 0.70 per square foot, planks of wood cost $ 0.10 per foot and paint costs $ 8 per quart.

Dimensionally speaking, we understand that cost equals unit cost multiplied by physical variable (i.e. Area, length or capacity). Let \(p\), \(w\) and \(q\) the surface area of plywood, the total length of wood planks and the total capacity of paint, respectively. The sentence is represented by the following inequation:

\(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\) (Eq. 4)

Write an inequality to represent each constraint(material and cost)

Plywood:

plywood ≥ 60 square feet

Planks:

planks ≥ 36 feet

Paints

1 quarts ≤ paints ≤ 2 quarts

Inequality to represent cost constraint

Plywood = $0.70

planks of wood = $0.10

paint costs $8

Total cost = $65

0.70 × p + 0.10 × pw + 8 × Pa ≤ 65

0.70p + 0.10pw + 8pa ≤ 65

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Step-by-step explanation:

x = number of years after 2007.

x = 0 for 2007.

PC(x) is a function that calculates how many pounds of chicken the average adult will eat every year (x) after 2007 (up to 2012).

PC(x) = 0.8x + 52

0 <= x <= 5

in 2007 (x = 0) the average adult ate 52 pounds.

in every year after 2007 until 2012 0.8 pounds get added to the amount of the previous year.

so, in 2012 (x = 5) the average adult will eat

PC(5) = 0.8×5 + 52 = 4 + 52 = 56 pounds of chicken.

Answer:

The correct option is;

The player runs 4 meters forward, and then  runs 4 meters in the opposite direction

Step-by-step explanation:

From the question relates to the displacement of a body, compared to the distance covered by the body

In the question instance, the situation in which the player displacement will be  zero is one where both the players forward and backward displacement are equal such that they cancel each other

We have the instance where the forward and opposite displacement are  equal is given by the situation where the player runs 4 meters forward, and then  runs 4 meters in the opposite direction.

Answer:

d would be the answer if your so needy

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.13 repeating

Answer:

56 feet

Step-by-step explanation:

14*4 = 56 feet

will be the wingspan of the actual plane