Consider the following polynomial function. f(x)=x^4−x^3−12x2+6x+36. Factor the polynomial completely.

Answer:

Set your calculator to degree mode.

\( \ \sin(25) = \frac{6}{x} \)

\(x \sin(25) = 6\)

\(x = \frac{6}{ \sin(25) } = 14.20\)

Answer: 105 degrees

Step-by-step explanation:

Both angles equal 180 so if we subtract 75 from 180 we get 105.

Answer:

105º

Step-by-step explanation:

<ONC and <BNJ are a linear pair, the angles are supplementary (eqauls 180º).

Answer

x + y = 125 ----- equation 1

0.25x + 0.1y = 26 --- equation 2

Step-by-step explanation:

let x represents quarter and y represents dimes

According to the question, quarter and dimes made up the total coins Carl has

Carl has 125 worth of coins

quarter + dime = coin

x + y = 125 ----------- equation 1

The coins are worth a total of $26

one coin = 0.25 quarters

one coin = 0.1 dimes

0.25x + 0.1y = 26 ----- equation 2

Hence, the two equations are

x + y = 125 ----- equation 1

0.25x + 0.1y = 26 --- equation 2

Answer:

B y= 4.50x + 5.00

Step-by-step explanation:

4.50 is the “mx” in y=mx+b also known as the Slope that moves.

the 5 is the ”b” which is the y-intercept. It is a constant and does not change.

Parallel lines are two straight lines that never cross. For this to happen, the lines have to have the same slope.

In this case, the equation given is in what's called "slope-intersect" form. The general form of the slope intercept formula is y=mx + b where m is the slope of the line and b is the point on the Y-axis where the line crosses.

The equation given is y=5x+3 and since the 5 is in the place of m from the general equation, 5 is the slope. Since parallel lines have the same slope, 5 is the answer.

Slope-Intercept Form:

When we're given a linear equation we can immediately see if it's in the slope-intercept form if it follows the format  y=mx+b. As long as y does not have a coefficient the slope and y-intercept are the values of m and b.

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By using the formula for the distance between two points we will see that the distance between the two points is √80 is 8.9

The length of the line connecting two places represents the distance between them. Subtracting the different coordinates will reveal the distance if the two points are on the same horizontal or vertical line.

Learn how to apply the Pythagorean theorem to find the distance between two points using the distance formula. The Pythagorean theorem can be rewritten as d=(((x 2-x 1)2+(y 2-y 1)2) to calculate the separation between any two locations.

The general formula for the distance between two points (a, b) and (c, d) is:

Distance = √[(a-d)²+(b - c)²]

In this case, we have the points (-4,1) and (4,5), replacing that in the above formula we get:

Distance = √[(-4-4)²+(1-5)²]

= √80

=8.9

Therefore the distance between the two points (-4,1) and (4,5) is 8.9

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Answer:

Rate of change = 2 & Initial value = -1

Answer:

Step-by-step explanation:

what?

Within the third step of the control process, management by exception is a principle that states that managers should be informed of a situation only if data show a significant deviation from standards.

The third step of the process of controlling is to compare the actual performance of the organization with the established standards. By comparing the actual performance with the standards, an organization can determine the deviation between them.

The final step of the control process is the correction of deviations to improve the performance so that in the future it matches with the plan. Establishing standards and methods for measuring performance. Measuring performance. Determine if performance is up to par. take corrective action. The marginal rate of return reduction is set to reduce the factor's marginal rate of return.

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Step-by-step explanation:

Ok they need to make $1,260.

Each t-shirt sells for $12 but they only make half that amount $6

So far 85 t-shirts have been sold

85 * 12 = 1,020

Ok but remember its half that amount-

1,020 / 2 = 510

So far they have $510 raised.

1260 - 510 = 750

They still need to raise $750.

If we divide $750 / 6 = 125

So that's our answer, now if we wanna verify-

125 * 12 = 1500

1500 / 2 = 750

So after revising, we are left with the answer 125, Mathewson middle school must sell 125 more t-shirts to make the desired amount.

Hope this helps! :)

A right triangle is a triangle which has one of it's angles equal to 90 degrees. The sum of all the internal angles for a triangle have to be equal to 180 degrees. The smalles ange will be called "x", therefore the sum of the internal angles of this triangle are:

The smallest is 28 degrees. The second one is:

The second is equal to 62 degrees and the third is equal to 90 degrees.

Answer:

is X= Y= -2 3

Step-by-step explanation:

is easy question

1) An example of a 2 step equation is:

5x + 2 = 17

2) An example of a 2 step equation that contains fractions:

(2/3)x + 6 = 18

3) One equation with distributive property is:

4x(6 - 2) - 10 = 20

4) One equation with decimals is;

4.3x + 0.7 = 5

An example of a 2 step equation is:

5x + 2 = 17

An example of a 2 step equation that contains fractions:

(2/3)x + 6 = 18

One equation with distributive property is:

4x(6 - 2) - 10 = 20

One equation with decimals is;

4.3x + 0.7 = 5

Real world equation:

Peter's restaurant is bringing in money from customers, and he needs to know how much he needs to pay off the bill for the electricity to run the place.  To turn the electricity on, he has to pay $25.  For every hour that the electricity is on for, he has to pay $4.  How many hours can he have the electricity on for if she makes $49 profit?

I hope these helped!  Not too sure about the last one, I sort of let me imagination run wild.  In any case, don't hesitate to ask me questions if you have any further inquiries. <3

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For any given event, the probability of that event and the probability of the non-occurrence of the event must sum to one.

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

The probability of occurrence formula, also known to some as the “probability of occurrence formula PMP” is a tool for determining the chance that a given risk will occur. The formula requires two data points: number of favourable events possible and the total number of events possible.

Non occurrence patterns identifies the absence of events when detecting a pattern.

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Hey there! I'm happy to help!

If the model airplanes flies 22 feet in 2 seconds, it travels 11 feet in 1 second.

There are 60 seconds in one minute. We multiply 11 by 60, giving 660 feet in 1 minute.

There are 60 minutes in one hour. We multiply 660 by 60, giving us 39600 feet in 1 hour.

There are 5280 feet in a mile. To find our speed in mph, we divide 39600 by 5280, giving us 7.5 mph.

Have a wonderful day! :D

Answer:  5 pieces

===================================================

Explanation:

Note how

(number of pieces)*(length per piece) = 5*(3/5) = 15/5 = 3

which is the total length of the original rope.

So that's why the answer is 5.

We can get this answer through either guess and check, or we can divide 3 over 3/5 like so

3 divide 3/5 = (3/1) divide by (3/5) = (3/1)*(5/3) = 15/3 = 5

The second fraction 3/5 flips when we divide by it. Also the division changes to a multiplication when we flip the second fraction.

The function that models the amount of money remaining in Carl's account is \(M(t) = -100t + 500\)..

We will start by finding out how much money Carl will have left after each withdrawal:

After 30 days:

= $500 - $100

= $400

After 60 days:

= $400 - $100

= $300

After 90 days:

$300 - $100

= $200

After 120 days:

= $200 - $100

= $100

After 150 days:

= $100 - $100

= $0

We can see that Carl 5 withdrawals of $100 each over 150 days. So, we can use a linear function to model the amount of money remaining in Carl's account over time which is M(t) = -100t + 500.

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The equation of the line, in point-slope form, that passes through (1, -7) and has a slope of -2/3 is y + 7 = -2/3 (x − 1).

Option A is the correct answer.

We have,

The point-slope form of a linear equation is:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line and m is the slope of the line.

Now,

Given that the line passes through the point (1, -7) and has a slope of -2/3, we can substitute these values into the point-slope form:

y - (-7) = (-2/3)(x - 1)

Simplifying the equation:

y + 7 = (-2/3)x + (2/3)

Subtracting 7 from both sides:

y = (-2/3)x - (19/3)

So,

y + 7 = -2/3 (x - 1)

Thus,

The equation of the line, in point-slope form, that passes through (1, -7) and has a slope of -2/3 is y + 7 = -2/3 (x − 1).

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Answer:

(-8.5, 7).

Step-by-step explanation:

the two points are (-10, 3) and (-7, 11). Let's plug in the values into the midpoint formula:

M = ((-10 + -7) / 2, (3 + 11) / 2)

Simplifying the calculations:

M = (-17 / 2, 14 / 2)

M = (-8.5, 7)

i hope i helped you!

Answer:

Step-by-step explanation:

(-38) + (-4) + (-50) =-38-4-50

= -92

So the answer is -92

32 papers would Ashley have to remain to grade after working for 6 hours.

What is simplification?

Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.

Here, we have

Ashley is a teacher and takes home 98 papers to grade over the weekend.

She can grade at a rate of 11 papers per hour.

We have to calculate how many papers would Ashley has remaining to grade after working for 6 hours.

Based on the given conditions, formulate:: 98 - 11 × 6

Calculate the product or quotient: 98 - 66

Calculate the sum or difference: 32

Hence, 32 papers would Ashley have to remain for a grade after working for 6 hours.

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The ratio of a person's weight on earth to his weight on the moon is 6 to 1.

Xavier weighs 90 pounds on earth how much would he weigh on the moon?

To find how much Xavier weighs on the moon, we will use proportions.

We know that the ratio of Xavier's weight on earth to his weight on the moon is 6 to 1.

Therefore:

Weight on Earth / Weight on the Moon = 6 / 1OrWeight on Earth = 6 x Weight on the Moon

Given that Xavier weighs 90 pounds on Earth, let's plug that value into the equation to find his weight on the moon.

Weight on Earth = 6 x Weight on the Moon90 pounds = 6 x Weight on the Moon

Solving for the weight on the moon:Weight on the Moon = 90 / 6Weight on the Moon = 15 pounds

Therefore, Xavier weighs 15 pounds on the moon.

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Image is too blurred.

Try taking another one.

Answer:

Step-by-step explanation:

I will be using all caps for variables

Solve for L

V = LWH

/ WH  /WH

V/WH = L

Solve for H

V = LWH

/LW  /LW

V/LW = H

Answer:

D

1 5 10 10 5 1

That is the answer

Answer:

wdym? like the app remind?

Answer:

you have to download the remind app

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(x-3y=9\implies -3y=-x+9\implies y=\cfrac{-x+9}{-3} \\\\\\ y=\cfrac{-x}{-3}+\cfrac{9}{-3}\implies y=\cfrac{1}{3}x-3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a likne whose slope is 1/3 and it passes through (-10 , 9)

\((\stackrel{x_1}{-10}~,~\stackrel{y_1}{9})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{(-10)}) \implies y -9= \cfrac{1}{3} (x +10) \\\\\\ y-9=\cfrac{1}{3}x+\cfrac{10}{3}\implies y=\cfrac{1}{3}x+\cfrac{10}{3}+9\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x+\cfrac{37}{3} \end{array}}\)

Answer:

The answer is $270

Step-by-step explanation:

The given series 1/n² is convergent, and its sum is π²/6.

The terms of the series are given by 1/n², where n is the index of the term. To find the partial sums of the series, we can add up the first n terms of the series. The partial sum S_n can be expressed as:

S_n = 1/1² + 1/2² + 1/3² + … + 1/n²

We can now calculate the first few partial sums to graph them:

S_1 = 1/1² = 1

S_2 = 1/1² + 1/2² = 1 + 1/4 = 5/4

S_3 = 1/1² + 1/2² + 1/3² = 5/4 + 1/9 ≈ 1.3611

S_4 = 1/1² + 1/2² + 1/3² + 1/4² ≈ 1.4236

Continuing this pattern, we can calculate more partial sums. Now, let's graph both the sequence of terms and the sequence of partial sums on the same screen.

Based on the graph, we can see that as n increases, the partial sums S_n approach a finite value, and they do not diverge to infinity. This suggests that the series 1/n² is convergent.

To find the sum of the series, we can take the limit of the partial sums as n approaches infinity:

lim(n->∞) S_n = lim(n->∞) (1/1² + 1/2² + 1/3² + … + 1/n²)

Using the formula for the sum of the squares of reciprocals, which is π²/6, we can conclude that:

lim(n->∞) S_n = π²/6

Therefore, the given series 1/n² is convergent, and its sum is π²/6.

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John has : $8.25

Based on the given conditions formulate :

5 + 2 × x = 21.5

5 + 2x = 21.5

2x = 21.5 - 5

2x = 16.5

Divide both sides by 2

\( \frac{2x}{2} = \frac{16.5}{2} \)

\(x = 8.25\)