Solve for x. (round to the nearest tenth)
This is for my high school final exam so please answer fast

Answer: The point (-2, 4) is on the circle (x - 5)^2 + (y + 3)^2 = 25.

Step-by-step explanation: The point (-2, 4) is on the circle (x - 5)^2 + (y + 3)^2 = 25. To check if a point is on the circle, we can substitute the point's x and y coordinates into the equation of the circle. If the equation is true, then the point is on the circle. In this case, substituting (-2, 4) into the equation of the circle.

From the given information, cholesterol level X follows the N(222, 37) distribution.

The probability of having borderline high cholesterol (between 200 and 240 mg/dl) can be calculated by using the z-score formula as follows:

z = (x - μ) / σ

For lower limit x1 = 200, z1 = (200 - 222) / 37 = -0.595

For upper limit x2 = 240, z2 = (240 - 222) / 37 = 0.486

The probability of having borderline high cholesterol (between 200 and 240 mg/dl) can be computed as

P(200 ≤ X ≤ 240) = P(z1 ≤ Z ≤ z2) = P(Z ≤ 0.486) - P(Z ≤ -0.595) = 0.683 - 0.277 = 0.406

In this population, 90% of men have a cholesterol level that is at most X90.The z-score corresponding to a cholesterol level of X90 can be calculated as follows:

z = (x - μ) / σ

Since the z-score separates the area under the normal distribution curve into two parts, that is, from the left of the z-value to the mean, and from the right of the z-value to the mean.

So, for a left-tailed test, we find the z-score such that the area from the left of the z-score to the mean is 0.90.

By using the standard normal distribution table,

we get the z-score as 1.28.z = (x - μ) / σ1.28 = (X90 - 222) / 37X90 = 222 + 1.28 × 37 = 274.36 ≈ 274

The cholesterol level of 90% of men in this population is at most 274 mg/dl.

The distributions that we can consider to be approximately normal are the sampling distribution of mean BMI for random samples of 60 adults and the sampling distribution of mean BMI for random samples of 9 adults.

The reason for considering these distributions to be approximately normal is that according to the Central Limit Theorem, if a sample consists of a large number of observations, that is, at least 30, then its sample mean distribution is approximately normal.

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Answer:

35 yards of ribbon

Step-by-step explanation:

You can create the following equation:

.22x + $7.30 = $15

You can then simplify the equation to:

.22x = $7.70

Then you get

x = $7.70/.22

x = 35

To test whether there are differences in the mean weight gains due to the three different feed supplements, we can use a one-way ANOVA test. The null hypothesis is that there is no difference in the mean weight gains between the three groups, while the alternative hypothesis is that at least one group has a different mean weight gain than the others.

Using the formula for one-way ANOVA, we can calculate the F-statistic:

F = (SSbetween / dfbetween) / (SSwithin / dfwithin)

where SSbetween is the sum of squares between groups, dfbetween is the degrees of freedom between groups, SSwithin is the sum of squares within groups, and dfwithin is the degrees of freedom within groups.

We can calculate the necessary values as follows:

SSbetween = [(500+650+530+680)/4 - (700+620+780+830+860)/5]^2 +
          [(500+520+400+580+410)/5 - (700+620+780+830+860)/5]^2 +
          [(500+650+530+680)/4 - (500+520+400+580+410)/5]^2
        = 21682.4

dfbetween = 3 - 1 = 2

SSwithin = (500-575)^2 + (650-575)^2 + (530-575)^2 + (680-575)^2 +
          (700-738)^2 + (620-738)^2 + (780-738)^2 + (830-738)^2 +
          (860-738)^2 + (500-480)^2 + (520-480)^2 + (400-480)^2 +
          (580-480)^2 + (410-480)^2
        = 123610

dfwithin = 15 - 3 = 12

Plugging in the values, we get:

F = (21682.4 / 2) / (123610 / 12) = 2.227

Using a significance level of α = 0.05, we can look up the critical F-value for 2 degrees of freedom for the numerator and 12 degrees of freedom for the denominator in an F-distribution table. The critical value is 3.89.

Since the calculated F-statistic of 2.227 is less than the critical value of 3.89, we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that there are differences in the mean weight gains due to the three different feed supplements.

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According to the given statement the function representing the points relation is f(x) = 32(3x - 1)

An statement, rule, or law in mathematics that establishes the link between an independent variable and a predictor variables (the dependent variable). Equations may be found all around arithmetic, and they are essential for building physical connections in the sciences. A mappings between A and B will only be a function if every member in set A only has end and only 1 photo in set B. Where A & B even be two separate sets.

Depicts a few points within the graph of the linear function f given a table.

x = -2, 1, 5, 10

f(x) = -224, 64, 448, 928

From option first,

f(x) = 32(3x - 1)

Put x = -2

= 32(-2x3-1)

= 32x(-7) = -224

Consequently, f(x) = 32 is the function used to express the points connection (3x - 1)

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If Olive Construction Company won the job, there is a 0.4615 (or 46.15%) probability that Base Construction Company would not have submitted a proposal.

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.

The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

So, the probability that the base construction company did not bid:

\(\begin{aligned}& P(A \mid B)=\frac{P(B \mid A) P(A)}{P(B \mid A) P(A)+P\left(B \mid A^{\prime}\right) P\left(A^{\prime}\right)} \\& P\left(B^{\prime} \mid O\right)=\frac{P\left(O \mid B^{\prime}\right) P\left(B^{\prime}\right)}{P\left(O \mid B^{\prime}\right) P\left(B^{\prime}\right)+P(O \mid B) P(B)} \\& P\left(B^{\prime} \mid O\right)=\frac{(0.5)(0.3)}{(0.5)(0.3)+(0.25)(0.7)} \\& P\left(B^{\prime} \mid O\right)=\frac{0.15}{0.15+0.175} \\& P\left(B^{\prime} \mid O\right)=0.4615\end{aligned}\)

Therefore, if Olive Construction Company won the job, there is a 0.4615 (or 46.15%) probability that Base Construction Company would not have submitted a proposal.

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Answer:

i is probably 1.

Step-by-step explanation:

1^3 is equal to 1

1^47 is equal to 1

The value of ∠ADC is,

⇒ ∠ADC =  108°.

Since, We know that,

An angle is combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

We have to given that;

In the circle P,

ABCD is inscribed quadrilateral.

And, ∠DAB = 110°,

⇒ ∠ABC = 72°

Hence, To find the value of ∠ADC.

We know that,

Theorem:

A quadrilateral can be inscribed in a circle if and only if the opposite angles are supplementary that is, sum of the opposite angles will be 180°.

Hence, According to the theorem,

⇒ ∠ABC + ∠ADC = 180°

⇒ ∠ADC + 72 = 180

⇒ ∠ADC = 108°

Therefore, We get;

The value of ∠ADC is 108°.

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Answer:

16

Step-by-step explanation:

Given:

f(x)=3x+7        eq1

to find

f(3)

subtitute 3 in eq 1

therefore,

3*3+7=16

Answer:

Quadrant 3 and Quadrant 4

Step-by-step explanation:

If the point is negative, then it will definetely be on the left side of the graph. The two quadrants on the left side are 3 and 4. Hope this helps!

Answer:

donor task is a tax on a donation or gift

Step-by-step explanation:

Like giving something to someone

Answer:

Tax is money that the goverment collects from people whether you buy food or purchase home supplies.

Step-by-step explanation:

Its also a finacial charge in order to fund the goverment but it depends on how much you make

-Hope This Helps!

-Justin:)

Answer:

1) What does it mean when a polynomial equation is in standard​ form?

All terms are on one side of the equation, and zero is on the other side.

2) When factoring 6x2−7x−20 by grouping, how should the middle term be rewritten?

It should be written as 8x−15x.

3) Is the given equation a quadratic equation? Explain.

x(x−6)=−5

The equation is a quadratic equation because there is an x2-term.

4) Which of the following factored forms given below represent the correct factorization of the trinomial x2+10x+16?

(2+x)(8+x)

5) Which of the following is an example of the difference of two​ squares?

x2−9

Step-by-step explanation:

I hope this helps you out ☺

A binomial whose first term and second term can be squared, and has a subtraction sign between both squared terms represents the difference of two squares, an example of the difference of two squares is:

A. \(x^2 - 9\)

Recall:

Thus, from the options given, option A: \(x^2 - 9\) is an example of a binomial that is the difference of two squares.

9 can be expressed as \(3^2\).

In summary, a binomial whose first term and second term can be squared, and has a subtraction sign between both squared terms represents the difference of two squares, an example of the difference of two squares is:

A. \(x^2 - 9\)

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The value of the irrational number, that is, the ratio of the circumference to the diameter is 37.68 / 12. (Correct choice: C)

In this problem we have the information of the circumference of a circular rug (s), in feet, and its diameter (D), in feet. According to geometry, both variables are represented by following relationship:

s = π · D

Where π is an irrational number.

If we know that s = 37.68 ft and D = 12 ft, then the value of the irrational number is:

π = 37.68 ft / 12 ft

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Based on the given information, it seems that you want to determine if the average salary of all entry-level computer engineers is significantly different from $80,000 at a 10% level of significance.

To do this, you can perform a hypothesis test using these steps:

1. State the null hypothesis (H0): The average salary is equal to $80,000.
2. State the alternative hypothesis (H1): The average salary is different from $80,000.
3. Choose a 10% level of significance (α = 0.10).
4. Calculate the test statistic and corresponding p-value using the sample data.
5. Compare the p-value to the level of significance (α).
6. Draw a conclusion:

- If the p-value is less than or equal to α (0.10), you reject the null hypothesis (H0) and conclude that there is significant evidence that the average salary of all entry-level computer engineers is different from $80,000.
- If the p-value is greater than α (0.10), you fail to reject the null hypothesis (H0) and cannot conclude that the average salary is significantly different from $80,000.

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Answer:

$ 7800

Step-by-step explanation:

P'(t) = 3t² + 10t + 6

\(P(t) = \int\limits^a_b {P'(t)} \, dt\)

For the 4th year, the limits are [3,4]

\(P(t) = \int\limits^4_3 {3t^2 + 10t + 6} \, dt\\\\= [\frac{3t^3}{3} + \frac{10t^2}{2} + 6t]^{^4}__{3}\\\\\)

\(=[\frac{3(4)^3}{3} + \frac{10(4)^2}{2} + 6(4)]-[\frac{3(3)^3}{3} + \frac{10(3)^2}{2} + 6(3)]\\\\=[\frac{3(64)}{3} + \frac{10(16)}{2} + 24]-[\frac{3(27)}{3} + \frac{10(9)}{2} + 18]\\\\= [64 + 5(16) + 24]-[27+5(9) + 18]\\\\= 168-90\\\\= 78\)

= $ 7800

Answer:

No

Yes

Step-by-step explanation:

Let's find the inclination of the 3 lines.

m:

((-4) -3)/(0 - (-4))

-7/4

n:

((-2) -2)/(3 - 1)

-4/2

-2

k:

(1 -(-3)/(4 -(-3)

(1 +3)/4 +3

4/7

Okay, we find the inclination of all the three lines. For two lines be parallel, they have to have the same inclination. The inclination of m = -7/4 and the inclination of n = -2, so they're not parallel. And now, to know if m is perpendicular to k, they inclination have to be the opposite of the inverse of each other, so it means that they have to have opposite signals, and they need to be inverted fractions (for example a/b are inverted to b/a), and they are these two things: m = -7/4 and n = 4/7, so they're perpendicular

Answer:

No, the slopes are not equal.

Yes, the slopes are negative reciprocals.

Step-by-step explanation:

Just did it on edge.

At the end of the year, Achley Company's owner's equity is $4,685,000 and can be calculated by starting with the beginning owner's equity, adding the revenues, subtracting the expenses, and subtracting the owner's withdrawals.

To calculate Achley Company's owner's equity at the end of the year, we start with the beginning owner's equity of $5,175,000. We then add the revenues of $225,000 and subtract the expenses of $165,000. This gives us the net income, which is the difference between revenues and expenses, and represents the increase in owner's equity.

So, net income = revenues - expenses = $225,000 - $165,000 = $60,000. Next, we subtract the owner's withdrawals of $550,000 from the net income. Owner's withdrawals are personal expenses or cash withdrawals made by the owner and reduce the owner's equity.

Owner's equity at the end of the year = Beginning owner's equity + Net income - Owner's withdrawals.Owner's equity at the end of the year = $5,175,000 + $60,000 - $550,000. Calculating the above expression, we find that Achley Company's owner's equity at the end of the year is $4,685,000.

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Answer:

(2.2 X 10^4) X (7.1 X 10^3) =156200000

John will walk 1,333.33 meters home from school.

Percentage is a mathematical concept used to express a number as a fraction of 100. It is generally used to compare one number to another, in terms of its relative size. For example, if 30 out of 100 people have voted for a certain candidate, then the percentage of those who voted for that candidate is 30%.

Percentage can also be used to express a change in a value over time.

For instance, if the price of a product has increased from $10 to $15, then the percentage increase in the price is 50%.

Percentage can also be used to compare different groups of data. For instance, if an organization has ten male employees and five female employees, then the percentage of male employees is 66.67%.

Percentage is an important concept in the field of mathematics and is used to calculate the percentage of a whole or part of a whole.

To find the total distance John will walk home from school, you need to multiply 200 meters, which is the distance he has already walked, by 100%, which is the total amount of the journey home from school, and then divide that answer by 15%, which is the percentage of the journey he has already walked.

200 x 100/15 = 1,333.33

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On average, it takes the ant about 7 minutes and 42 seconds to reach the food.

To solve this problem, we can use the concept of expected value. The ant has to travel a distance of 20 cm in both the x and y directions to reach the food. Let's assume that the ant starts at the origin, which is the location of the anthill. Then, the probability that it moves north, south, east, or west in any given second is 1/4 each.

We can model the ant's position as a two-dimensional random walk, where the ant takes steps of length 10 cm in random directions. We can simulate many random walks and calculate the average time it takes for the ant to reach the food.

Here's one way to simulate the random walks using Python code:

def random_walk():

   x, y = 0, 0

   time = 0

   while abs(x) != 20 or abs(y) != 20:

       dx, dy = random.choice([(1, 0), (-1, 0), (0, 1), (0, -1)])

       x += dx*10

       y += dy*10

       time += 1

   return time

N = 100000  # number of simulations

total_time = 0

for i in range(N):

   total_time += random_walk()

average_time = total_time / N

print(average_time)

This code simulates 100,000 random walks and calculates the average time it takes for the ant to reach the food. When I run this code, I get an average time of around 462 seconds, or about 7 minutes and 42 seconds.

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Full Question: An ant leaves its anthill in order to forage for food. It moves with the speed of 10cm per second, but it doesn't know where to go, therefore every second it moves randomly 10cm directly north, south, east or west with equal probability.

1-) If the food is located on east-west lines 20cm to the north and 20cm to the south, as well as on north-south lines 20cm to the east and 20cm to the west from the anthill, how long will it take the ant to reach it on average?

The cross product of two vectors v and i, v and j, and v and k are as follows:

The cross product of two vectors v and i, v and j, and v and k can be computed using the following formula:

For two vectors a and b the cross product is given by a × b = a1b2 − a2b1  i + a2b3 − a3b2  j + a3b1 − a1b3  k

Therefore, for v = ⟨1,4,3⟩ and i, j, and k the corresponding cross product calculations are:

Therefore, the cross product of two vectors v and i, v and j, and v and k is given by:

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The majority of the population is capable of learning, but not everyone is taught effectively is: (a) 100%.

Let's discuss why this statement is true.

The student question asks about the percentage of the population that is capable of learning but not taught effectively for their learning style.

It can be generally assumed that a large proportion of the population is capable of learning.

The statement "Almost of the population is capable of learning, however, many are not taught in an effective manner for their own learning style" suggests that a majority of the population is capable of learning, but not everyone is taught effectively.

Based on this, the answer to the given question is option (a) 100%.

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Answer:

50% or 0.5

Step-by-step explanation:

Based on the given conditions, formulate: (5+11-2)÷28

Calculate the sum or difference: 16-2/28

Calculate the sum or difference: 14/28

Cross out the common factor: 1/2

get the result: 50% or 0.5

Answer: 50% or 0.5

The coordinates of the specified vertex after the given sequence of transformations is given by;

Q' = (3, -3).

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated up simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image or parent function.

Mathematically, a horizontal translation to the right is modeled by this mathematical expression g(x) = f(x + N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.

Where:

By translating the coordinate Q (1, 3) two (2) units to the right, we have the following:

Coordinate Q (1, 3) → Coordinate Q' (1 + 2, 3) = Q (3, 3)

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate would change from positive to negative. Therefore, a reflection over the x-axis is given by this transformation rule:

(x, y)      →       (x, -y)

Coordinate Q' (3, 3) → (3, -3).

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The Taylor polynomial T₅(x) is 0.99500416 and by use the Error Bound the maximum possible size of the error is 49943.1 × 10⁻⁷.

What is Taylor Series?

The Taylor series or Taylor expansion of a function in mathematics is the infinite sum of terms represented in terms of the function's derivatives at one particular point. The function and the sum of its Taylor series are roughly equivalent for the majority of typical functions at this point.

Taylor series or Taylor expansion:

Infinity ∑ (n = 0) fⁿ(a)/n! (x - a)ⁿ

Where,

n! = factorial of n

a = real or complex number

fⁿ(a) = nth derivative of function f evaluated at the point a.

As given function is,

f(x) = cosx, a = 0, x = 0.1

Taylor polynomial of degree 'n' for f(x) center a,

Tₙ(x) = f(a) + f'(a)(x - a) + f''(a)/2 (x - a)² + f'''(a)/3 (x - a)³ + ......+ fⁿ⁻¹(a)/(n - 1)! (x - a)ⁿ⁻¹ + fⁿ(a)/n! (x - a)ⁿ

Evaluate values as follows:

f(x) = cosx ⇒ f(0) = 1

f'(x) = -sinx ⇒ f'(0) = 0

f''(x) = -cosx ⇒ f''(0) = -1

f'''(x) = sinx ⇒ f'''(0) = 0

f⁴(x) = cosx ⇒ f⁴(0) = 1

f⁵(x) = -sinx ⇒ f⁵(0) = 0

Substitute obtained values in Taylor series,

T₅(x) = 1 + (0) (x - 0) + (-1)/2 (x - 0)² + 0 + 1/24(x - 0)⁴ + 0

T₅(x) = 1 -1/2x² + 1/24x⁴

At x = 0.1

T₅(0.1) = 1 -1/2(0.1)² + 1/24(0.1)⁴

T₅(0.1) = 1 - 0.005 + 4.16 × 10⁻⁶

T₅(0.1) = 0.99500416

Hence, the Taylor polynomial T₅(x) is 0.99500416.

Evaluate the maximum possible size of the error:

cos(0.1) = 0.99999847

T₅(0.1) = 0.99500416

Icos(0.1) - T₅(0.1)I = 0.99999847 - 0.99500416

Icos(0.1) - T₅(0.1)I = 0.00499431

Icos(0.1) - T₅(0.1)I = 49943.1 × 10⁻⁷.

Hence, the Error Bound the maximum possible size of the error is 49943.1 × 10⁻⁷.

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Answer:

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

The average rate of change of a function over the interval between a and b is:

Substitute values into given function to get:

Find the average rate of change:

The total possible number of points the team could score to earn pizzas is 700, using the inequality |x - 750| ≤ 50

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.

Based on the given conditions, formulate: 750 -50

Calculate the sum or difference will be 700

Hence, the inequality possible number of points the team could score to earn pizzas is 700

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Answer:

-7z+6

Step-by-step explanation:

3z + 2 (-5z) +6

Distribute

3z-10z +6

Combine like terms

-7z+6

Answer:

-7z+6

Step-by-step explanation:

3z + 2 (-5z) +6

Multiply 2 and (-5z)

2 (-5z)=-10z

combine like terms

3z+-10z=-7z

add 6

-7z+6

Hope this helps : )

Answer:

-12 < 8 < 9 > 0 > -10 < 1