The numbers of carrot muffins and walnut muffins sold at a cafeteria yesterday are represented below

The standard form equation of the circle in order to state the center and radius, then graph the circle is: A. center (-3, -2), radius: 1.

In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

From the information provided above, we have the following equation of a circle:

x² + y² + 6x + 4y + 12 = 0

x² + 6x + (6/2)² + y² + 4y + (4/2)² = -12 + (4/2)² + (6/2)²

x² + 6x + 9 + y² + 4y + 4 = -12 + 4 + 9

(x + 3)² + (y + 2)² = 1

(x + 3)² + (y + 2)² = 1

Therefore, the center (h, k) is (-3, -2) and the radius is equal to 1 units.

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Answer:

option 1

Step-by-step explanation:

The rate of increasing is the fastest in exponential functions.

Then comes powers and last logarithmic functions.

The order it increases at the fastest rate.

\(log < powers < exponential\)

To graph the natural logarithm function, without using a calculator, and using a short table of easy points, we can proceed as follows:

1. We need to remember that the logarithm function is not defined for negative numbers. We cannot find any exponent that raised to a positive number that result in a negative number.

2. The logarithm function is not defined for x = 0. Therefore, we will have an asymptote at x = 0. It is a vertical asymptote, x = 0.

3. The value for ln(1) = 0, and we also know that the value of ln(e) = 1.

We need to remember that e is, approximately, 2.7182818284...

Now, using this information, we will have the following table:

x - values ---------- y-values

Negative values ---- the function is not defined

0 ------------- The function has a vertical asymptote

1 ------------- 0

e (approx. 2.72) ------------ 1

We can see the table of these values in the following drawing:

Now we can sketch a graph of this function as follows:

The domain of the natural logarithm function is, in interval notation:

And the range is (in interval notation too) as follows:

Answer:

x=70

z=20

y=30

Step-by-step explanation:

first find x: the sum of straight angle is 180

x+110=180

x=180-110=70

now find z: the sum of the angles of triangle is 180:

x=70, right angle=90

z+70+90=180

find y:

y+110+40=180

y=180-150=30

z=180-160=20

Answer:

x=70 degrees, y= 30 degrees, z=20 degrees

Step-by-step explanation:

110+x=180 => straight angle def.

180-110+40=y => def. of angles in triangle

x( 70 degrees) +90+z=180, z= 20 => angles in triangle

Answer: HEre finnaly this is right..

Part A: When the marine biologist concluded her study, the length of the fish was approximately 6.86 cm. What is a reasonable domain to plot the growth function?

0≤x≤8

Part B: What does the y-intercept of the graph of the function f(m) represent?

the length at the start of the study

Part C: What is the average rate of change of the function f(m) from m = 3 to m = 7, and what does it represent?

6.86−5.047−3=1.82

it represents the average growth in length of the fish from the 3rd month to the 7th month of the study

Step-by-step explanation:

Answer:$7

Step-by-step explanation:

Answer:

they charge 6$ for 300 text messages.

Step-by-step explanation:

hope this helped! c:

Answer:

thursday

Step-by-step explanation:

so the complete 100% accurate answer would be 0, youd have to pick the closest to that which is -2.

Answer:

The answer is Thursday -2.

Step-by-step explanation:

on edge

The area of triangle JHK is 4.18 units²

A triangle is a polygon with three sides having three vertices. There are different types of triangle, we have;

The right triangle, the isosceles , equilateral triangle e.t.c.

The area of a figure is the number of unit squares that cover the surface of a closed figure.

The area of a triangle is expressed as;

A = 1/2bh

where b is the base and h is the height.

The base = 2.2

height = 3.8

A = 1/2 × 3.8 × 2.2

A = 8.36/2

A = 4.18 units²

Therefore the area of triangle JHK is 4.18 units²

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By forming and solving equations, we know that the speed of the runner is 4 miles per hour.

So, we need to form an equation to get the speed of the runner:

'x' is the speed of the runner. Now, solve for x as follows:

Therefore, by forming and solving equations, we know that the speed of the runner is 4 miles per hour.

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Answer:15

Step-by-step explanation: using the formula c=a^2+b^2 square rooted, you can basically use the reverse Pythagorean theorem

Answer:

9n + 2.

Step-by-step explanation:

This is arithmetic with common difference d = 9.

nth term = a1 + d(n - 1)     (a1 = 11) 11 + 9n - 9

= 11 + 9(n - 1)

= 9n + 2.

If a 600 room hotel generated the following room sales/ rates: 250 rooms sold at $195, 120 rooms sold at $165, 95 rooms sold at $770 and the occupancy suddenly increases to 100% and the ADR remains the same, then the RevPAR is $236.16.

To calculate the RevPAR, follow these steps:

Hence, none of the options provided are correct.

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Answer:

Let the ratios be x

then , 2x, 3x , 4x

Step-by-step explanation:

2x+3x+4x = 180°

9x= 180°

x= 180÷ 9

x = 20

now, 2x = 2×20

40°

3x=3×20

60°

4x= 4×20

80°

Answer:

The answer is C)Spelling Scores vs. Hours Spent Studying

Step-by-step explanation:

This is the answer because if you look at all of the other options, then you will see that they have a steeper slope, you could also calculate and find for slope if u are still unsure :) hope this helps

The graph that has a trend line with the least slope is the History Scores vs. Hours Spent Studying graph

The slope of a line is the quotient of the change in the vertical values to the corresponding horizontal values

Check below on how the trend line with the least slope can be determined

From the question, we have:

The slope (m) is calculated using:

m = (y₂ - y₁)/(x₂ - x₁)

So, we have:

The line 3 has the least slope

i.e. m₃ = 2.5

Hence, the graph that has a trend line with the least slope is the History Scores vs. Hours Spent Studying graph

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The businessman has the number possible combinations of suits are 420 and ties to take on his next business trip.

The businessman has 6 suits and 7 ties, meaning he has 42 possible combinations of suits and ties if he were to take all of them. Since he is only taking 3 suits and 2 ties, he would need to calculate the combinations of 3 suits from the 6 available and the combinations of 2 ties from the 7 available. The calculation for the number of combinations of 3 suits from 6 is 6C3, which is equal to 20. The calculation for the number of combinations of 2 ties from 7 is 7C2, which is equal to 21. Since there are 20 possibilities of suits and 21 possibilities of ties, the total number of combinations of suits and ties he can take on his next trip is 20 x 21, which is equal to 420.

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We have found two quadratic functions with x-intercepts (-5,0) and (5,0): f(x) =\(x^2 - 25\), which opens upward, and g(x) = \(-x^2 + 25\), which opens downward.

For the quadratic function that opens upward, we can use the x-intercepts (-5,0) and (5,0) to set up the equation:

f(x) = a(x + 5)(x - 5)

where a is a constant that determines the shape of the parabola. If this function opens upward, then a must be positive. Expanding the equation, we get:

f(x) = a(x^2 - 25)

To determine the value of a, we can use the fact that the coefficient of the x^2 term in a quadratic equation determines the shape of the parabola. Since we want the parabola to open upward, we need the coefficient of x^2 to be positive, so we can set a = 1:

f(x) = x^2 - 25

For the quadratic function that opens downward, we can use the x-intercepts (-5,0) and (5,0) to set up the equation:

g(x) = a(x + 5)(x - 5)

where a is a constant that determines the shape of the parabola. If this function opens downward, then a must be negative. Expanding the equation, we get:

g(x) = a(x^2 - 25)

To determine the value of a, we can use the fact that the coefficient of the x^2 term in a quadratic equation determines the shape of the parabola. Since we want the parabola to open downward, we need the coefficient of x^2 to be negative, so we can set a = -1:

g(x) = -x^2 + 25

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The value of i, the interest rate per period(monthly here)  that should be used in the considered formula is given by: Option B: 0.71

If we're given that:

Then, we get:

\(P = P_v\left(\dfrac{i}{1-(1+i)^{-n}}\right)\)

For this case, we're provided that:

i = interest rate per period

And we have:

Interest rate compounding monthly = 8.5%

The interest rates are usually given for annual basis. Since i represents the rate per period, which is monthly here, thus, we will convert the rate 8.5% from annually to monthly.

Since 1 year = 12 months,

so 8.5% per year compounding monthly = (8.5/12)% per month compounding monthly

Thus, i = interest per period = interest per month = 8.5/12≈ 0.71 (in percentage)

Thus, the value of i, the interest rate per period(monthly here)  that should be used in the considered formula is given by: Option B: 0.71

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Answer:

Its D :)

Step-by-step explanation:

The part described refers to the dendrites of a neuron, this is an anatomical adaptation that allows the communication between neurons.

Neurons, which are the basic cell unit in the nervous system include three main parts: the dendrites, the body, and the axon. The dendrites receive and transmit electrical signals from and to other neurons. This is essential for the communication between the neurons in the nervous system.

Moreover, it allows signals such as pain, changes in temperature, pressure, etc. to be transmitted to the brain, where they will be processed.

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Using the Bayes' theorem, we find the probability that the transferred ball was white given that the second ball drawn was white to be 52/89, or approximately 0.5843.

To solve this problem, we can use Bayes' theorem, which relates the conditional probability of an event A given an event B to the conditional probability of event B given event A:

P(A|B) = P(B|A) * P(A) / P(B)

where P(A|B) is the probability of event A given that event B has occurred, P(B|A) is the probability of event B given that event A has occurred, P(A) is the prior probability of event A, and P(B) is the prior probability of event B.

In this problem, we want to find the probability that the transferred ball was white (event A) given that the second ball drawn was white (event B). We can calculate this probability as follows:

P(A|B) = P(B|A) * P(A) / P(B)

P(B|A) is the probability of drawing a white ball from urn b given that the transferred ball was white and is now in urn b. Since there are now six white balls and three black balls in urn b, the probability of drawing a white ball is 6/9 = 2/3.

P(A) is the prior probability of the transferred ball being white, which is the number of white balls in urn a divided by the total number of balls in urn a, or 6/13.

P(B) is the prior probability of drawing a white ball from urn b, which can be calculated using the law of total probability:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

where P(B|not A) is the probability of drawing a white ball from urn b given that the transferred ball was black and P(not A) is the probability that the transferred ball was black, which is 7/13.

To calculate P(B|not A), we need to first calculate the probability of the transferred ball being black and then the probability of drawing a white ball from urn b given that the transferred ball was black.

The probability of the transferred ball being black is 7/13. Once the transferred ball is moved to urn b, there are now five white balls and four black balls in urn b, so the probability of drawing a white ball from urn b given that the transferred ball was black is 5/9.

Therefore, we can calculate P(B) as follows:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

= (2/3) * (6/13) + (5/9) * (7/13)

= 89/117

Now we can plug in all the values into Bayes' theorem to find P(A|B):

P(A|B) = P(B|A) * P(A) / P(B)

= (2/3) * (6/13) / (89/117)

= 52/89

Therefore, the probability that the transferred ball was white given that the second ball drawn was white is 52/89, or approximately 0.5843.

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Answer:

14x=x+28

Step-by-step explanation:

Answer:

7x-7=0

5x-9=4x

4x(9)=36

x=36

Answer:

he rounded it off to the hundreths place

Step-by-step explanation:

The value of x is 7 and the value of y is 37. These values of x and y results in congruence.

For the two triangles, Δ LMN and Δ PQR,

Side LM = Side PQ,

Side LN = Side PR

Side MN = Side QR

⇒ Δ LMN and Δ PQR are congruent by (S.S.S : side side side) property

Since both the triangles are congruent to each other. There corresponding angles will be equal.

i.e. ∠ L = ∠ P, ∠ N = ∠ R and ∠ Q = ∠ M.

⇒ ∠ L = ∠ P

⇒ 3x + 24 = 8x - 11

⇒ 24 + 11 = 8x - 3x

⇒ 5x = 35

⇒ x = 7

In Δ PQR, sum of all angles is 180°

⇒ ∠P + ∠Q + ∠R = 180°

⇒ (8x - 11)° + 84° + ∠R = 180°

⇒ (8×7 - 11)° + 84° + ∠R = 180°

⇒ 45° + 84° + ∠R = 180°

⇒ 129° + ∠R = 180°

⇒ ∠R = 180° - 129° = 51°

We know that ∠N = ∠R

⇒ (2x + y) = 51

⇒ (2×7) + y = 51

⇒ y = 51 - 14 = 37

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3x² + 4x + 5 = 0 → x² + 4/3x +5/3 =0 → (x + ⅔)² + 5/3 - 4/9 = 0 → (x + ⅔)² + 11/9 = 0

Answer:

Okay so I would say d because

Step-by-step explanation:

because they all equal less than 1/4

The probability of getting exactly 3 heads when a penny is flipped 9 times is approximately 0.1641.

The expression that represents the probability of getting exactly 3 heads when a penny is flipped 9 times is:

p(3 successes) = (9 C 3) * (0.5)^3 * (0.5)^(9-3)

Where:

"p(3 successes)" represents the probability of getting 3 heads.

"9 C 3" represents the number of ways to choose 3 flips out of 9 flips (also known as the binomial coefficient). This is calculated as 9! / (3! * (9-3)!), which simplifies to 84.

"0.5" represents the probability of getting heads on a single flip of a fair penny.

"(0.5)^(9-3)" represents the probability of getting tails on the remaining 6 flips, since the probability of getting either heads or tails on a single flip is 0.5.

Simplifying the expression, we get:

p(3 successes) = (9 C 3) * (0.5)^9

p(3 successes) = (84) * (0.5)^9

p(3 successes) ≈ 0.1641

Therefore, the probability of getting exactly 3 heads when a penny is flipped 9 times is approximately 0.1641.

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Answer:

m=−37

Step-by-step explanation:

34 = -3 + -1m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add 'm' to each side of the equation.

34 + m = -3 + -1m + m

Combine like terms: -1m + m = 0

34 + m = -3 + 0

34 + m = -3

Add '-34' to each side of the equation.

34 + -34 + m = -3 + -34

Combine like terms: 34 + -34 = 0

0 + m = -3 + -34

m = -3 + -34

Combine like terms: -3 + -34 = -37

m = -37

Answer:

Sample Response:

The negative sign outside the parentheses represents –1. Distribute the –1 to everything inside the parenthesis. Use the addition property of equality first to add 3 to both sides. Then use the division property of equality to divide both sides by -1.

Probability of winning the jackpot = 1 / (C(M, K) * N)

To calculate the probability of winning the jackpot in a particular lottery, where you need to select the correct numbers between 1 and M, and a separate drawing for a single number between 1 and N, we can use the concept of probability.

The probability of winning the jackpot is determined by the ratio of favorable outcomes (winning combinations) to the total possible outcomes.

For the first part, where you need to select the correct numbers between 1 and M, let's assume you need to select K numbers correctly out of M possible numbers. The number of ways to choose K numbers correctly is given by the combination formula:

C(M, K) = M! / (K!(M - K)!)

For the second part, where you need to select the correct single number between 1 and N, there is only one correct number to choose.

The total number of possible outcomes for the entire jackpot is given by the product of the total possible outcomes for each part:

Total outcomes = C(M, K) * N

The probability of winning the jackpot is the ratio of the favorable outcomes to the total possible outcomes:

Probability of winning the jackpot = 1 / (C(M, K) * N)

To find the probability of winning the jackpot in the given lottery, you need to know the specific values for M, N, and K. Using these values, you can calculate the probability using the formula provided. The probability will be the inverse of the product of the combination value and the number of options for the single number.

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There are 36 possible characters for each position in the password, consisting of 10 digits and 26 lowercase letters. Therefore, there are

\(36^N\)

possible passwords with N characters.

For a password of length 1, there are 36 possible passwords. For a password of length 2, there are 1,296 possible passwords. For a password of length 3, there are 46,656 possible passwords, and so on.

Since each character in the password can only be a digit or lowercase letter, we must subtract the number of passwords that do not meet this criteria. For example, a password containing an uppercase letter, a symbol, or a whitespace character would not be valid.

The number of valid passwords is simply

\(36^N\)

minus the number of invalid passwords. The exact number of invalid passwords depends on the length of the password and the number of positions where an invalid character could be placed.

The total number of valid passwords can be calculated as follows:

Valid passwords =

\(36^N\) - number of invalid passwords.

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