Plz help!
The Gazelle football team made 5 plays in a row where they gained
3 yards on each play. Then they had 2 plays in a row where they lost 12 yards on each play. What is the total change in their position from where they started?

Journal Entry for the purchase of office equipment:

The purchase of equipment results in a debit to the asset section of the balance sheet. The credit is based on what form of payment you use as the customer.

Data:

Remaining amount on the note:

= Total cost - Cash paid

= $15,000 - $4,000

= $11,000

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Answer:

63+9c

Step-by-step explanation:

Answer:

63+9c

Step-by-step explanation:

9(3+c+4)

=27+9c+36

=63+9c

Answer:

i think its 158

Step-by-step explanation:

i think what theyre doing here is a pattern because

79-55=24 and 110-79=31 which has no pattern but when u subtract 55 from 110 you get  110-55=55  so i just multiplied 79 by 2 getting the answer 158.

The standard form of the parabola with a vertex at (-5,2) and a focus at (-1,2) is given by the equation (x - h)^2 = 4p(y - k), where (h,k) represents the vertex and p represents the distance between the vertex and the focus.

The standard form of a parabola is given by the equation (x - h)^2 = 4p(y - k), where (h,k) represents the vertex and p represents the distance between the vertex and the focus. In this case, the vertex is (-5,2) and the focus is (-1,2).

First, we can determine the value of p, which represents the distance between the vertex and the focus. The distance between two points is given by the formula d = sqrt((x2 - x1)^2 + (y2 - y1)^2). Applying this formula, we find that the distance between (-5,2) and (-1,2) is 4.

Since the focus is on the right side of the vertex, the value of p is positive. Therefore, p = 4.

Substituting the values of the vertex and p into the standard form equation, we have (x + 5)^2 = 4(4)(y - 2). Simplifying further, we get (x + 5)^2 = 16(y - 2), which is the standard form of the parabola.

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The employer of Bill’s FICA  should withhold D. $24.92 in taxes

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

To solve this exercise, the percentage formula and the procedure to be applied is as follows:

n= (% * nt) / 100

Where:

Information about the problem:

Using the percentage formulate, we get how much FICA tax should his employer withhold:

n= (% * nt) / 100

n = (7.65 * $325.78)/100

n = $2492.22/100

n = $24.92

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a) The corresponding z-score is 0.5 and the direction is to the right.

b) The percentage of adult spiders that have carapace lengths exceeding 19 mm is 30.85%.

If the area under the standard normal curve that lies to the right of nothing is 50%, then the z-score corresponding to this area is 0.

To find the z-score and direction that corresponds to the percentage of adult spiders that have carapace lengths exceeding 19 mm, we need to determine the area under the standard normal curve to the right of 19 mm and then find the corresponding z-score using a standard normal distribution table or calculator.

Assuming a normal distribution of carapace lengths of adult spiders, we need to standardize the value of 19 mm by subtracting the mean and dividing by the standard deviation. If we assume that the mean carapace length of adult spiders is 18 mm with a standard deviation of 2 mm, we can calculate the z-score as follows

z = (19 - 18) / 2 = 0.5

This means that a carapace length of 19 mm is 0.5 standard deviations above the mean. To find the area under the standard normal curve to the right of 19 mm, we can use a standard normal distribution table or calculator, which gives us an area of 0.3085.

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To find the number of students in your class who pack a lunch,  divide 20 by 5 and then multiply that quotation by 3. Option B

Fractions are simply defined as part of a whole variable, number or element.

There are different types of fractions. They include;

From the information given, we have that;

Then, we have;

20 × 3/5

60/5

Divide the values

12 students

Hence, the value is 12

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Answer: the answer is 1.499495

The simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

To simplify the given expression, let's evaluate the square roots individually and then perform the addition.

√900 = 30, since the square root of 900 is 30.

√0.09 = 0.3, as the square root of 0.09 is 0.3.

√0.000009 = 0.003, since the square root of 0.000009 is 0.003.

Now, we can add these simplified values together

√900 + √0.09 + √0.000009 = 30 + 0.3 + 0.003 = 30.303

Therefore, the simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

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So you pretty much have all you need. 1/3 represents slope, and slope is m. Initial value would be your y intercept which is b.

y=1/3x-3

Answer:

y = x/3 - 3

Step-by-step explanation:

x/3 is the equivalent of 1/3(x)

Answer: \(X+Y\leq17\)

\(10.50X+8.50Y\geq125\)

Step-by-step explanation:

Given: Elena earns $10.50 per hour as a server working x hours per week .She also earns $8.50 per hour editing poetry or Y hours per week.

Total money she wants = at least  $125

Total hours she can spent at most 17.

So, the required linear inequalities modeling the situation will be:

\(X+Y\leq17\)

\(10.50X+8.50Y\geq125\)

The z-score for a birth weight of 2.78 kg is -1.33, and z-score for a birth weight of 3.82 kg is 0.87. The probabilities of a randomly selected newborn determined using the standard normal distribution table.

The z-score for a birth weight of 2.78 kg can be calculated by subtracting the mean (μ) from the given value (x) and dividing it by the standard deviation (σ) using the formula z = (x - μ) / σ. Plugging in the values, we get z = (2.78 - 3.39) / 0.55 = -1.33. Similarly, for a birth weight of 3.82 kg, the z-score is (3.82 - 3.39) / 0.55 = 0.87.

To determine the probability of a randomly selected newborn weighing less than 2.78 kg, we need to calculate the area under the left side of the normal distribution curve corresponding to the z-score associated with that weight. Using the standard normal distribution table or a calculator, we can find the probability associated with a z-score of -1.33. Let's assume it is P(Z < -1.33).

The probability that a randomly selected newborn will weigh more than 3.82 kg is the area under the normal distribution curve to the right of the corresponding z-score. Let's assume it is P(Z > 0.87).

To find the probability that a randomly selected newborn will weigh between 2.78 kg and 3.82 kg, we need to find the area under the normal distribution curve between the corresponding z-scores. Let's assume it is P(-1.33 < Z < 0.87).

Lastly, to find the probability that a randomly selected newborn will weigh less than 2.78 kg or more than 3.82 kg, we can calculate P(Z < -1.33) + P(Z > 0.87), which is the sum of the individual probabilities.

The exact values for these probabilities can be found using a standard normal distribution table or a calculator with the corresponding z-scores.

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Answer:

81

Step-by-step explanation:

5(10) + 31
50+31
Answer = 81

Answer:

The two missing angles are 20 and 30 degrees.

Step-by-step explanation:

Quadrilaterals have four interior angles that add up to 360 degrees.

So we have two angles that are 240 degrees and 70 degrees.

If 240 + 70 = 310

That means the other two angles added together must be equal 50.

Because 360 - 310 = 50

So their ratio is 2:3 which means they have five equal parts.

Which would mean 50/5 = 10

2 x 10 = 20

3 x 10 =30

This means the missing angles are 20 and 30 degrees.

Hope this helped you!

Answer:

see below

Step-by-step explanation:

P = 2l + 2w

Subtract 2w using the subtraction property of equality

P -2w = 2l+2w-2w

P -2w = 2l

Divide each side by 2, using the division property of equality

P/2 -2w/2 = 2l/2

1/2 P -w = l

Now we have P =40.2 and w = 6.7

l =1/2 (40.2) - 6.7

l =20.1-6.7

 =13.4

In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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The logit algorithm estimates the probability of each category.

In logistic regression with a dependent variable with three categories, the logit algorithm estimates the probability of each category relative to a reference category. There are different ways to define the reference category, but one common approach is to use the lowest category as the reference.

Suppose the dependent variable has three categories, labeled as 1, 2, and 3. The logit algorithm estimates the log odds of each category relative to the reference category (category 1), given a set of predictor variables. Let's denote the log odds of category 2 and category 3 relative to category 1 as logit_2 and logit_3, respectively.

The logistic regression model with three categories can be written as:

logit(p_2 / p_1) = β_0 + β_1 x_1 + β_2 x_2 + ... + β_k x_k

logit(p_3 / p_1) = γ_0 + γ_1 x_1 + γ_2 x_2 + ... + γ_k x_k

where p_1, p_2, and p_3 are the probabilities of category 1, category 2, and category 3, respectively, and x_1, x_2, ..., x_k are the predictor variables.

To obtain the probabilities of each category, we need to exponentiate the log odds and normalize them to sum up to 1. Specifically, we have:

p_1 = 1 / (1 + exp(logit_2) + exp(logit_3))

p_2 = exp(logit_2) / (1 + exp(logit_2) + exp(logit_3))

p_3 = exp(logit_3) / (1 + exp(logit_2) + exp(logit_3))

These equations show how the logit algorithm estimates the probabilities of each category in logistic regression with three categories. Note that the logit algorithm assumes that the relationship between the predictor variables and the log odds of each category is linear, and it estimates the coefficients β and γ using maximum likelihood estimation.

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The general solution is y = y_h + y_p = c1 \(e^{ (-x) }\) + c2 x e^(-x) - (1÷2) cos(x) - (1÷12) sin(2x) - (5÷24) cos(2x).

What is Differential Equation ?

A differential equation is a mathematical equation that relates a function or a set of functions with their derivatives or differentials. In other words, it is an equation that describes the behavior of a system in terms of the rates of change of one or more variables.

First, we find the homogeneous solution of the differential equation:

The characteristic equation is r*r + 2r + 1 = 0, which can be factored as (r+1)(r+1) = 0. Hence, the homogeneous solution is y_h = c1  \(e^{ (-x) }\)  + c2 x\(e^{ (-x) }\)

Now, we look for a particular solution of the form y_p = A sin(x) + B cos(x) + C sin(2x) + D cos(2x), where A, B, C, and D are constants to be determined.

Taking derivatives, we get y_p' = A cos(x) - B sin(x) + 2C cos(2x) - 2D sin(2x) and y_p'' = -A sin(x) - B cos(x) - 4C sin(2x) - 4D cos(2x).

Substituting y_p, y_p', and y_p'' into the differential equation, we get:

(-A sin(x) - B cos(x) - 4C sin(2x) - 4D cos(2x)) + 2(A cos(x) - B sin(x) + 2C cos(2x) - 2D sin(2x)) + (A sin(x) + B cos(x) + C sin(2x) + D cos(2x)) = sin(x) + 7cos(2x)

Simplifying and collecting like terms, we get:

(-3A - 3C + 4D) sin(2x) + (3B + 4C - 3D) cos(2x) + 2A cos(x) - 2B sin(x) = sin(x) + 7cos(2x)

Equating coefficients of sin(2x), cos(2x), sin(x), and cos(x), we get the following system of equations:

-3A - 3C + 4D = 0

3B + 4C - 3D = 7

2A = 0

-2B = 1

Solving for A, B, C, and D, we get:

A = 0

B = -1÷2

C = -1÷12

D = -5÷24

Therefore, the particular solution is y_p = (-1÷2) cos(x) - (1÷12) sin(2x) - (5÷24) cos(2x).

The general solution is y = y_h + y_p = c1   \(e^{ (-x) }\) + c2 x  \(e^{ (-x) }\) - (1÷2) cos(x) - (1÷12) sin(2x) - (5÷24) cos(2x).

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» The diameter of a circle is 11 in. What is the circle's circumference?

— — — — — — — — — —

To find the circumference, use pi (π), a mathematical constant. Its value is approximately equal to 3.14.

— Multiply the diameter with π in order to get the circumference of a Circle.

Therefore, the circumference of the circle is 34.54 inches.

_______________∞_______________

Answer:

\(\displaystyle 34,557519189...\:in.\)

Step-by-step explanation:

Split the diametre in half before proceeding:

\(\displaystyle \pi{d} = C \\ \\ 11\pi = C \hookrightarrow \boxed{34,557519189... = C}\)

I am joyous to assist you at any time.

Answer:

the range value of x which satisfy inequality \((x + 2)^2 > 2x + 7\) is \(\mathbf{x>1 \ or \ x<-3}\)

Step-by-step explanation:

We need to find the range value of x which satisfy inequality \((x + 2)^2 > 2x + 7\)

Solving:

\((x + 2)^2 > 2x + 7\)

Using formula: \((a+b)^2=a^2+2ab+b^2\)

\(x^2+4x+4>2x+7\\x^2+4x+4-2x-7>0\\x^2+4x-2x+4-7>0\\x^2+2x-3>0\)

Now factoring the term: \(x^2+2x-3>0\)

Breaking the middle term: 2x= 3x-x

\(x^2+2x-3>0\\x^2+3x-x-3>0\\x(x+3)-1(x+3)>0\\(x-1)(x+3)>0\\x-1>0 \ or \ x+3>0\\x>1 \ or \ x<-3\)

So, the range value of x which satisfy inequality \((x + 2)^2 > 2x + 7\) is \(\mathbf{x>1 \ or \ x<-3}\)

The function checks if the result for the current inputs has already been computed and stored in the `memo` cache. If so, it returns the cached result, otherwise it calculates the result using the recursive definition of the Bessel polynomials and stores the result in the `memo` cache for future use.

Memoization is a technique where we store the results of expensive function calls and return the cached result when the same inputs occur again. Here's a recursive function that uses memoization to calculate the n-th Bessel polynomial at x:

```
memo = {}  # Memoization cache

def B(n, x):
   if n == 0:
       return 1
   elif n == 1:
       return x + 1
   elif (n, x) in memo:
       return memo[(n, x)]
   else:
       result = (2 * n - 1) * x * B(n - 1, x) + B(n - 2, x)
       memo[(n, x)] = result
       return result
```

The function checks if the result for the current inputs has already been computed and stored in the `memo` cache. If so, it returns the cached result, otherwise it calculates the result using the recursive definition of the Bessel polynomials and stores the result in the `memo` cache for future use. This approach avoids redundant calculations and can significantly speed up the computation of Bessel polynomials for large values of n.

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$6.60 because 6.00 + 0.60 = 6.60

Answer:

n = 4

Step-by-step explanation:

separate the variables

subtract 9 from 5 and you get n=4

Answer:

d = (5/9)r - (1/9)n

or

\(d = \frac{5r - n}{9}\)

Step-by-step explanation:

9d + n = 5r

     - n       -n

9d = 5r - n

\(d = \frac{5r - n}{9}\)

Answer:

He will have $5175.

Step-by-step explanation:

3% of 4500 is 135. 135x5=675. Add 675 to 4500 which equals 5175.

If ū and ū have the same length, then the projection of u onto ū and the projection of ū onto ū will always have the same length. This is because the projection of a vector onto another vector is simply the vector that is parallel to the first vector and has the same length as the first vector.

If the two vectors have the same length, then the projection of one vector onto the other will also have the same length. If ū and ū do not have the same length, then it is possible for the projection of u onto ū and the projection of ū onto ū to have the same length.

This is because the projection of a vector onto another vector is not necessarily the same length as the first vector. If the two vectors are not parallel, then the projection of one vector onto the other will be shorter than the first vector. However, if the two vectors are perpendicular, then the projection of one vector onto the other will be the same length as the first vector.

The projection of a vector onto another vector is a vector that is parallel to the first vector and has the same length as the first vector. The projection of u onto ū can be calculated using the following formula:

proj_ū(u) = (u ⋅ ū) / ||ū||^2 * ū

where u ⋅ ū is the dot product of u and ū, and ||ū|| is the magnitude of ū. The projection of ū onto u can be calculated using the following formula:

proj_u(ū) = (ū ⋅ u) / ||u||^2 * u

where ū ⋅ u is the dot product of ū and u, and ||u|| is the magnitude of u. If ū and ū have the same length, then ||ū|| = ||u||. This means that the two formulas for the projection are the same, and the projection of u onto ū will have the same length as the projection of ū onto u.

If ū and ū do not have the same length, then ||ū|| ≠ ||u||. This means that the two formulas for the projection are not the same, and the projection of u onto ū may or may not have the same length as the projection of ū onto u. If the two vectors are not parallel, then the projection of one vector onto the other will be shorter than the first vector. However, if the two vectors are perpendicular, then the projection of one vector onto the other will be the same length as the first vector.

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Answer:

it's corect

Step-by-step explanation:

just change the subject it is not mathematics

Answer:

correct

Step-by-step explanation: