Three friends ate 3/4 of a pizza. The 3 friends ate
equal amounts. How much of the pizza did each
friend eat?

10 and -6                                  

.....................................................

For  the quadratic function f(x) = x^2 - 5x + 6, the values of the coefficients and constant are:

a = 1
b = -5
c = 6.

To identify the coefficients and constant in the quadratic function f(x) = x^2 - 5x + 6, let's examine the standard form of a quadratic equation:

f(x) = ax^2 + bx + c

Comparing this with the given quadratic function, we can determine the values of the coefficients and constant:

a = 1 (coefficient of x^2 term)
b = -5 (coefficient of x term)
c = 6 (constant term)

Therefore, for the quadratic function f(x) = x^2 - 5x + 6, the values of the coefficients and constant are:

a = 1
b = -5
c = 6.

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the number of choices in each case is:

a. With no restriction: 10,000 choices.

b. No digit is repeated: 5,040 choices.

c. No digit is repeated, 2 and 5 must be present: 56 choices.

Let's calculate the number of choices in each case:

a. With no restriction:

For each digit in a 4-digit pin code, we have 10 choices (0-9). Since there are 4 digits in total, the number of choices is 10⁴ = 10,000.

b. No digit is repeated:

For the first digit, we have 10 choices (0-9).

For the second digit, we have 9 choices (any digit except the one chosen for the first digit).

For the third digit, we have 8 choices (any digit except the two chosen for the first and second digits).

For the fourth digit, we have 7 choices (any digit except the three chosen for the first, second, and third digits).

The total number of choices is 10 * 9 * 8 * 7 = 5,040.

c. No digit is repeated, and 2 and 5 must be present:

We have two fixed digits (2 and 5) that must be present in the pin code.

For the first fixed digit (2), we have only 1 choice.

For the second fixed digit (5), we have only 1 choice.

For the remaining two digits, we have 8 choices each (any digit except 2 and 5).

The total number of choices is 1 * 1 * 8 * 7 = 56

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Answer:

B ( -1, -8)

Step-by-step explanation:

A ( -7, -6)

midpt (-4, -7)

Equation:

(x + 3, y - 1)

Solve for B:

(-4, -7)

(x + 3, y - 1)

( -1, -8)

Answer:

The answer and work are in the pdf

Step-by-step explanation:

Answer: A. The majority of the math scores are greater than the median of the science scores

Step-by-step explanation:

I took the test!

The probability distribution of X is as follows:P(X = x) = 0 for x < 1P(X = x) = 0 for 1 ≤ x < 10.5P(X = x) = 1 for 10.5 ≤ x < 31P(X = x) = 0 for x ≥ 31.

Given function: f(x)={0x<10.51≤x<313≤xTo verify that the given function is a cumulative distribution function, we have to check the following conditions:1. f(x) is non-negative for all x.2. f(x) is continuous from the right for all x.3. f(x) is a non-decreasing function for all x.4. lim{x → -∞} f(x) = 0 and lim{x → ∞} f(x) = 1. Now, let's verify these conditions one by one.1. f(x) is non-negative for all x. This condition is satisfied, as the given function f(x) is defined only for x ≥ 1, and is non-negative for all x in this domain. Therefore, f(x) is non-negative for all x.2. f(x) is continuous from the right for all x. This condition is also satisfied, as the given function f(x) is defined piecewise as a continuous function for all x. Therefore, f(x) is continuous from the right for all x.3. f(x) is a non-decreasing function for all x. This condition is satisfied, as the given function f(x) is non-decreasing for all x in its domain.4. lim{x → -∞} f(x) = 0 and lim{x → ∞} f(x) = 1.

Using the definition of f(x) for x < 10, we have f(x) = 0 for x < 10. Therefore, lim{x → -∞} f(x) = 0. Using the definition of f(x) for x ≥ 31, we have f(x) = 1 for x ≥ 31. Therefore, lim{x → ∞} f(x) = 1. Hence, all four conditions are satisfied. Therefore, the given function is a cumulative distribution function. To find the probabilities of the intervals, we use the formula: P(a ≤ X ≤ b) = F(b) - F(a)where P(a ≤ X ≤ b) is the probability that X lies between a and b, and F(x) is the cumulative distribution function of X. Furthermore, the probability of the interval (a, b] is: P(a < X ≤ b) = F(b) - F(a)Therefore, the probabilities of the intervals are: P(1 < X ≤ 10.5) = F(10.5) - F(1) = 0 - 0 = 0P(10.5 < X ≤ 31) = F(31) - F(10.5) = 1 - 0 = 1P(X > 31) = F(∞) - F(31) = 1 - 1 = 0Therefore, we have: P(1 < X ≤ 10.5) = 0P(10.5 < X ≤ 31) = 1P(X > 31) = 0

Hence, the probability distribution of X is as follows: P(X = x) = 0 for x < 1P(X = x) = 0 for 1 ≤ x < 10.5P(X = x) = 1 for 10.5 ≤ x < 31P(X = x) = 0 for x ≥ 31. Therefore, the given function is a cumulative distribution function, and the probability distribution of X is as above.

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Answer:

6a

Step-by-step explanation:

Answer:

6a

Step-by-step explanation:

3a+2a+a= 6a

6-4-2=0

6a+0=6a

Answer:

A rectangle

Step-by-step explanation:

A square can be a rectangle but a rectangle can't always be a square.

Answer:

0.28

Step-by-step explanation:

Answer:

0.20

Step-by-step explanation:

i got it right on edge 2022

Answer:

(-2,2)

Step-by-step explanation:

Hi,

4x + 5y = 2

-2x + 2y = 8

To solve using elimination, we can multiply the second equation by 2 to try and get rid of the x. So...

4x + 5y = 2

-4x + 4y = 16

Now, add...

9y = 18

Divide by 9...

y = 2

Now, let's solve for x...

4x + 5(2) = 2

4x + 10 = 2

4x = -8

x = -2

Your solution is, (-2,2)

I hope this helps :)

Answer:

the answer is the cheese soup has a good change of being picked but not as good as the chicken soup there would so 3:2 to 2. so if they picked the cheese soup the first time then there is not a good change of the cheese souo to be picked again i hope that helps if not let me know

Statistics are used to make estimates of population parameters. Therefore, the correct option is B.

Statistics are used for various purposes in data analysis. One important application of statistics is to make estimates of population parameters. Population parameters are characteristics or measures that describe an entire population. However, it is often impractical or impossible to collect data from the entire population, so statistics provide methods for estimating these parameters based on a sample of the population.

By collecting and analyzing data from a sample, statisticians can make inferences and draw conclusions about the larger population. These estimates help researchers understand the characteristics, patterns, and relationships within the population.

Additionally, statistics form the basis for analysis in many fields, including scientific research, business, social sciences, and more. They provide tools and techniques to summarize, interpret, and draw meaningful insights from data, enabling researchers and decision-makers to make informed choices and draw valid conclusions from their observations and experiments.

Therefore, the correct choice is option b. Statistics play a crucial role in estimating population parameters and providing insights for analysis and decision-making.

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The square root of -i that graphs in the second quadrant,

⇒ z = (1/2)((√(2))(cos(135°) + i sin(135°))

To find the square root of -i,

we can start by writing -i in polar form.

⇒ i = 1(cos(270°) + i sin(270°))

Now, we can find the square root by taking the square root of the magnitude and dividing the angle by 2.

⇒ √(-i) = √(1)  [cos(270°/2) + i sin(270°/2)]

⇒ [tex](1)^{(1/2)}[/tex]  [cos(135°) + i sin(135°)]

⇒ (1/2)(√(2)) [cos(135°) + i sin(135°)]

⇒ (1/2)(√(2)) (-√(2)/2 + i(√(2))/2)

⇒ -1/2 + ((√t(2)/2)i

Therefore,

The square root of -i that graphs in the second quadrant in the form of

z = r(cosθ + i sinθ)

Hence,

z = (1/2)((√(2))(cos(135°) + i sin(135°)).

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Answer:

7 cm

Step-by-step explanation:

10 mm = 1cm

All you need to do is add 10mm + 6cm.

10mm = 1cm

So, 6cm + 1cm.

Therefore, it equals to 7cm.

Answer:

471.2 cm cubed

Step-by-step explanation:

The formula for the volume of a cylinder is:

π*radius squared*height

The diameter is the distance across the circle.

10 mm is the same as 1 cm

The radius is half of the diameter.

1/2=.5

Radius=.5 cm

Height=6 cm

Plug the numbers in.

.5 squared is .25

π*(.25)(6 cm)

Volume=4.71

Rounded to the nearest tenth:

Volume=4.7 cm cubed

Answer:

$ 1.35

Step-by-step explanation:

9 times 0.15 is 1.35

Answer:

Step-by-step explanation:

1 pound = 16 ounces

35 pounds = 560 ounces + 24 ounce = 584ounces

35 pounds,24ounces = 16 ounces

Answer:

7

Step-by-step explanation:

Answer:

Sam's is 7in shorter

Step-by-step explanation:

[tex]10-3=7[/tex]

Answer:

B

Step-by-step explanation:

Its dominant because its brown hair.

Answer:

69 minutes? i don't know haha

Step-by-step explanation:

Answer:

no picture

Step-by-step explanation:

Answer:

2.True

3. HGK

4. 17°

hope it helps

Main Answer: The numerical value of y(2.0) rounded off to three figures is 1.279.

Supporting Explanation:

The student solved the initial-value problem and found that y(2.0) = 1.27977. The question asks to round off the value to three figures. Therefore, we have to keep only the first three digits after the decimal point, which are 279. The next digit after 9 is 7, which means we have to round up the last digit. Thus, the rounded off value of y(2.0) is 1.279.

The initial-value problem is a differential equation that has an initial condition given for a specific value of the independent variable. In this case, the initial condition is y(1) = 2. The solution of the initial-value problem gives the value of y for other values of x. Here, we are required to find the value of y for x = 2.0.

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Answer: 10 points

Step-by-step explanation:

Answer:

Q' = (1, -5)

R' = (3, 1)

S' = (0, 0)

T' = (-2, -3)

Step-by-step explanation:

Look at the numbers of the current vertices and then change the signs of the y-coordinates around. For example, the original Q-coordinate was (1,5) so I changed the 5 to a -5 to reflect across the axis. Changing the y-coordinate sign reflects across the x-axis, while changing the x-coordinate sign reflects across the y-axis.

The lem of 18675 and 20112340 is 2^2 * 3^2 * 5^2 * 7 * 83 * 143659.

(a) To find the greatest common divisor (GCD) of 18675 and 20112340, we can use the Euclidean algorithm. The algorithm involves repeatedly dividing the larger number by the smaller number until the remainder becomes zero.

Using the Euclidean algorithm:

20112340 = 1074 * 18675 + 12590

18675 = 1 * 12590 + 6095

12590 = 2 * 6095 + 4000

6095 = 1 * 4000 + 2095

4000 = 1 * 2095 + 1905

2095 = 1 * 1905 + 190

1905 = 10 * 190 + 15

190 = 12 * 15 + 10

15 = 1 * 10 + 5

10 = 2 * 5 + 0

Since the remainder is now zero, the GCD is the last non-zero remainder, which is 5.

Therefore, ged(18675, 20112340) = 5.

(b) To factor the numbers 18675 and 20112340, we can find their prime factorizations.

Prime factorization of 18675:

18675 = 3^2 * 5^2 * 83

Prime factorization of 20112340:

20112340 = 2^2 * 5 * 7 * 143659

(c) To find the least common multiple (LCM) of 18675 and 20112340, we can use the prime factorizations obtained in the previous step.

The LCM is the product of the highest powers of all the prime factors involved.

Prime factors in the LCM:

2^2 * 3^2 * 5^2 * 7 * 83 * 143659

Therefore, the lem of 18675 and 20112340 is 2^2 * 3^2 * 5^2 * 7 * 83 * 143659.

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Answer:

144

Step-by-step explanation:

24 books at 6 points each would be 24 x 6 which equals 144

Answer:

They'll have 144 points if they read 24 books.

Step-by-step explanation:

6 x 24 = 144

Answer:

√89

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(9 - 1)² + [-6 - (-1)]²

√(8)² + (-5)²

√64 + 25

√89